English-Wörter für '(mathematics) A function whose domain is the empty set.'
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noun
noun
- (mathematics) A set of sets that contains the empty set, all one-element sets for any element that is included in any of the sets, and the union of any group of sets that are elements where the intersections of those sets is non-empty.
- An established communications or transportation link.
- A feeling of understanding and ease of communication between two or more people.
- Coherence; lack of disjointedness.
- (slang) A drug dealer.
- (uncountable) The act of connecting.
- A kinship relationship between people.
- The point at which two or more things are connected.
- A person related to oneself, through either family or business.
- (transport) A transfer from one transportation vehicle to another in scheduled transportation service.
- Sexual intercourse.
- (religion) A Methodist denomination as a whole, as opposed to its constituent churches, circuits, districts and conferences.
- a relation between things or events (as in the case of one causing the other or sharing features with it)
- shifting from one form of transportation to another
- the process of bringing ideas or events together in memory or imagination
- a connecting shape
- (usually plural) a person who is influential and to whom you are connected in some way (as by family or friendship)
- the act of bringing two things into contact (especially for communication)
- the state of being connected
- an instrumentality that connects
- a supplier (especially of narcotics)
verb
- (specifically, mathematics) To consider (a function) as defined on a subset of its original domain.
- To restrain within boundaries; to limit; to confine
- place under restrictions; limit access to by law
- place limits on (extent or amount or access)
- prevent (information) from being circulated or disclosed
- place restrictions on
noun
- (mathematics, set theory, of a function f) The set of pairs of elements in the domain of f which are mapped to the same value; the equivalence relation x≡y⟺f(x)=f(y).
- (mathematics, category theory, of a morphism f:X→Y in a category with zero morphisms) The equalizer of f and the zero morphism from X to Y, denoted operatorname kerf.
- (botany, US) The stone of certain fruits, such as peaches or plums.
- (botany) A single seed of grain, especially of corn or wheat.
- (computing) The central part of many computer operating systems which manages the system's resources and the communication between hardware and software components.
- (slang) The human clitoris.
- (computing) The core engine of any complex software system.
- (programming) The simplified input to an algorithm that has undergone kernelization.
- A small mass around which other matter is concreted; a nucleus; a concretion or hard lump in the flesh.
- (calculus) A function used to define an integral transform.
- (chemistry) The nucleus and electrons of an atom excluding its valence electrons.
- (botany) The central (usually edible) part of a nut, especially once the hard shell has been removed.
- (mathematics, linear algebra, of a linear transformation f:M→N between modules or vector spaces) The set of elements of M which are mapped to the additive identity 0 of N.
- (mathematics, group theory, of a group homomorphism f:G→H between groups) The set of elements of G which are mapped to the identity of H (usually written as 0 in an additive group and as 1 in a multiplicative group).
- (mathematics, fuzzy set theory) The set of members of a fuzzy set that are fully included (i.e., whose grade of membership is 1).
- (mathematics, ring theory, of a ring homomorphism f:R→S between rings) The set of elements of R which are mapped to the additive identity 0 of S.
- (mathematics, category theory) The source of operatorname kerf, denoted operatorname Kerf.
- The core, center, or essence of an object or system.
- a single whole grain of a cereal
- the choicest or most essential or most vital part of some idea or experience
- the inner and usually edible part of a seed or grain or nut or fruit stone
verb
noun
- (set theory) A function that maps distinct x in the domain to distinct y in the codomain; formally, a f: X → Y such that f(a) = f(b) implies a = b for any a, b in the domain.
- (internal combustion engines) Fuel injection: the pressurized introduction of fuel into a cylinder.
- (computer security) The insertion of program code into an application, URL, hardware, etc.; especially when malicious or when the target is not designed for such insertion.
- (space science) The act of putting a spacecraft into a particular orbit, especially for changing a stable orbit into a transfer orbit, e.g. trans-lunar injection.
- The act of injecting, or something that is injected.
- (construction) The act of inserting materials like concrete grout or gravel by using high pressure pumps.
- (mathematics) A relation on sets (X,Y) that associates each element of Y with at most one element of X.
- (category theory) A morphism from either one of the two components of a coproduct to that coproduct.
- (figuratively) The supply of additional funding to a person or a business.
- (steam engines) The act of throwing cold water into a condenser to produce a vacuum.
- A specimen prepared by injection.
- (medicine) Congestion (of a body part, with blood or other fluid), such as hyperemia.
- (steam engines) The cold water thrown into a condenser to produce a vacuum.
- (medicine) Something injected subcutaneously, intravenously, or intramuscularly by use of a syringe and a needle.
- the forceful insertion of a substance under pressure
- any solution that is injected (as into the skin)
- the act of putting a liquid into the body by means of a syringe
noun
- (mathematics) in relation to a function, the set of points where the function is not zero; the closure of that set.
- (sometimes attributive) Something which supports.
- An accompaniment in music.
- Evidence.
- (fuzzy set theory) A set whose elements are at least partially included in a given fuzzy set (i.e., whose grade of membership in that fuzzy set is strictly greater than zero).
- (structural analysis) Horizontal, vertical or rotational support of structures: movable, hinged, fixed.
- An actor playing a subordinate part with a star.
- (computing) Compatibility and functionality for a given product or feature.
- Answers to questions and resolution of problems regarding something sold.
- (commutative algebra, of a module M over a commutative ring R) The set of all prime ideals of R such that the localization of M at the prime is nonzero, denoted operatorname SuppM
- Financial or other help.
- (gymnastics) Clipping of support position.
- financial resources provided to make some project possible
- any device that bears the weight of another thing
- the act of bearing the weight of or strengthening
- supporting structure that holds up or provides a foundation
- a military operation (often involving new supplies of men and materiel) to strengthen a military force or aid in the performance of its mission
- aiding the cause or policy or interests of
- the activity of providing for or maintaining by supplying with money or necessities
- something providing immaterial assistance to a person or cause or interest
- the financial means whereby one lives
- a musical part (vocal or instrumental) that supports or provides background for other musical parts
- documentary validation
verb
- (transitive) To answer questions and resolve problems regarding something sold.
- (transitive) To serve, as in a customer-oriented position; to give support to.
- (transitive) To provide evidence for; to lend credibility to.
- (transitive) To provide sustenance or maintenance for; to sustain in integrity or livelihood.
- (transitive) To back or favor a cause, party, etc., mentally or with concrete aid:
- (transitive) To help keep from falling.
- (transitive) To play a lesser part in the same production with (a star performer).
- (transitive) To assist or be involved with, but not be responsible for.
- (transitive) To help, particularly financially; to subsidize.
- (transitive, said of electronic devices, programming languages, etc.) To be designed to provide capacity for; to work or be compatible with (a part, accessory, file type, program, algorithm, etc.).
- be the physical support of; carry the weight of
- be a regular customer or client of
- put up with something or somebody unpleasant
- argue or speak in defense of
- support with evidence or authority or make more certain or confirm
- adopt as a belief
- give moral or psychological support, aid, or courage to
- establish or strengthen as with new evidence or facts
- play a subordinate role to (another performer)
- be behind; approve of
- support materially or financially
adj
- (mathematics, topology, of a set) Which is part of a predefined collection of subsets of X, that defines a topological space on X.
- (phonetics) Uttered, as a consonant, with the oral passage simply narrowed without closure.
- Able to have something pass through or along it.
- (sometimes business) Not fulfilled or resolved; incomplete.
- (computing, not comparable, of a file, document, etc.) In current use; connected to as a resource.
- Not settled; not decided or determined; not withdrawn from consideration.
- Of a space, free of objects and obstructions.
- (law, of correspondence) Written or sent with the intention that it may made public or referred to at any trial, rather than by way of confidential private negotiation for a settlement.
- Of a person, not concealing their feelings, opinions, etc.; candid, ingenuous.
- (not comparable) Available for use or operation.
- Not concealed; overt.
- (electricity, of a switch or circuit breaker) In a position such that a circuit is not completed, preventing electricity from flowing.
- (music) Of a note, played without closing any finger-hole, key or valve.
- (sports and games) Characterised by free-flowing play.
- (comparable, with 'to') Susceptible or vulnerable (to the stated means).
- (now regional) Not of a quality to prevent communication, as by closing waterways, blocking roads, etc.; hence, not frosty or inclement; mild; used of the weather or the climate.
- (engineering, gas and liquid flow, of valve or damper) In a position allowing fluid to flow.
- (music, stringed instruments) Of a note, played without pressing the string against the fingerboard.
- Not covered, sealed, etc.; having an opening or aperture showing what is inside.
- (graph theory, of a walk) Having different first and last vertices.
- (not comparable) Actively conducting or prepared to conduct business.
- (medicine) Resulting from an incision, puncture or any other process by which the skin no longer protects an internal part of the body.
- (computing, of a program or application, especially one with a screen-based interface) Running.
- (phonetics, of a syllable) Ending in a vowel; not having a coda.
- (especially sports) Of a club, bat or other hitting implement, angled upwards and/or (for a right-hander) clockwise of straight.
- (mathematics, logic, of a formula) Having a free variable.
- (phonetics, sometimes with comparative opener) Uttered with a relatively wide opening of the articulating organs; said of vowels.
- (comparable) Receptive.
- Not physically drawn together, folded or contracted.
- (not comparable) Allowing entrance to visitors or the public.
- (of a multi-word compound) Having component words separated by spaces, as opposed to being joined together or hyphenated; for example, time slot as opposed to timeslot or time-slot.
- (sports) Of a tournament or competition, allowing anyone to enter, especially or originally irrespective of professional or amateur status.
- (computing, education) Made public, usable with a free licence and without proprietary components.
- Not having one end joined to the other; not forming a closed loop.
- (sometimes proscribed) Unlocked or unlatched but not physically open.
- (computing, used before "code") Source code of a computer program that is not within the text of a macro being generated.
- (not comparable) Public.
- (not comparable) With open access, of open science, or both.
- Of a sandwich, etc.: composed of a single slice of bread with a topping.
- open to or in view of all
- openly straightforward and direct without reserve or secretiveness
- (set theory) of an interval that contains neither of its endpoints
- not sealed or having been unsealed
- open and observable; not secret or hidden
- not requiring union membership
- accessible to all
- without undue constriction as from e.g. tenseness or inhibition
- not having been filled
- not brought to a conclusion; subject to further thought
- ready for business
- affording free passage or access
- used of mouth or eyes
- (of textures) full of small openings or gaps
- not defended or capable of being defended
- affording free passage or view
- with no protection or shield
- possibly accepting or permitting
- ready or willing to receive favorably
- having no protecting cover or enclosure
- affording unobstructed entrance and exit; not shut or closed
noun
- (electronics) A defect in an electrical circuit preventing current from flowing.
- (in the definite) Open or unobstructed space; an exposed location.
- The act of something being opened, such as an e-mail message.
- (in the definite) Public knowledge or scrutiny; full view.
- A sports event in which anybody can compete, especially or originally irrespective of amateur or professional status.
- a clear or unobstructed space or expanse of land or water
- a tournament in which both professionals and amateurs may play
- information that has become public
- where the air is unconfined
verb
- (transitive, intransitive) To make or become operative or available.
- (transitive) To make an open relationship or marriage, i.e., with possible additional relationships.
- (transitive, intransitive) To spread; to expand into a wider or looser position.
- (transitive) To enter upon, begin.
- (intransitive, poker) To bet before any other player has in a particular betting round in a game of poker.
- (transitive, intransitive, poker) To reveal one's hand.
- (transitive, intransitive, engineering, gas and liquid flow, of valve or damper) To move to a position allowing fluid to flow.
- (transitive, nursing) To make (a bed) ready for a patient by folding back the bedcovers.
- (intransitive, with 'for') To precede another as a performer at a concert or show.
- (transitive) To bring up, broach.
- (computing, transitive, intransitive) To start running (a program or application, especially one with a screen-based interface).
- (transitive, intransitive) To make or become receptive or susceptible (to something).
- (computing, transitive, intransitive) To connect to a resource (a file, document, etc.) for viewing or editing.
- (transitive, intransitive) To unseal or uncover, or become unsealed or uncovered.
- (transitive, intransitive) To cause or allow a gap to form or widen.
- (Manglish, Quebec) To turn on; to switch on.
- (transitive, intransitive, electricity, of a switch, fuse or circuit breaker) To move to a position preventing electricity from flowing.
- (transitive, intransitive) To make or become accessible or clear for passage by moving from a shut position.
- (transitive, intransitive) To make or become clear by removal of objects and obstructions, so as to allow passage, access, or visibility.
- (transitive, intransitive) To make or become accessible to customers, clients or visitors.
- (especially sports, transitive, intransitive) To angle (a club, bat or other hitting implement) upwards and/or (for a right-hander) clockwise of straight.
- (intransitive, cricket) To begin a side's innings as one of the first two batsmen.
- (transitive or intransitive) To start (an event or activity) as the first performer or actor.
- (intransitive) Of an event, activity etc., to start or get underway.
- begin or set in action, of meetings, speeches, recitals, etc.
- start to operate or function or cause to start operating or functioning
- make the opening move
- become available
- make available
- display the contents of a file or start an application as on a computer
- cause to open or to become open
- become open
- spread out or open from a closed or folded state
- have an opening or passage or outlet
adj
- (mathematics, of a function) Having derivatives of all finite orders at all points within the function’s domain.
- (of muscles, medicine) Involuntary and non-striated.
- (of an action) Natural; unconstrained.
- Bland; glib.
- (mathematics, of a number) That factors completely into small prime numbers.
- Having a texture that lacks friction. Not rough.
- (of a motion) Unbroken.
- (linguistics, classical studies, of a vowel) Lacking marked aspiration.
- (of food or drink) Not grainy; having an even texture.
- (of an edge) Lacking projections or indentations; not serrated.
- Without difficulty, problems, or unexpected consequences or incidents.
- (of a beverage) Having a pleasantly rounded flavor; neither rough nor astringent.
- Flowing or uttered without check, obstruction, or hesitation; not harsh; fluent.
- Suave; sophisticated.
- (chiefly of water) Placid, calm.
- smooth and unconstrained in movement
- of the margin of a leaf shape; not broken up into teeth
- smoothly agreeable and courteous with a degree of sophistication
- lacking obstructions or difficulties
- (of a body of water) free from disturbance by heavy waves
- having a surface free from roughness or bumps or ridges or irregularities
- of motion that runs or flows or proceeds without jolts or turbulence
- (music) without breaks between notes; smooth and connected
adv
noun
verb
- (transitive) To make straightforward or easy.
- (transitive) To make smooth or even.
- (West Country) To stroke; especially to stroke an animal's fur.
- (transitive) To calm or palliate.
- (transitive) To reduce to a particular shape or form by pressure; to press, to flatten.
- (statistics, image processing, digital audio) To capture important patterns in the data, while leaving out noise.
- free from obstructions
- make smooth or smoother, as if by rubbing
- make (a surface) shine
noun
- (more formally) A mathematical object comprising a carrier set (aka underlying set or domain), an optional scalar set, a set of operations (typically binary operations, but otherwise each of finite arity) and a set of identities (axioms) which the operations must satisfy.
- (algebra, universal algebra) Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra.
noun
- (topology, of a set) The smallest closed set which contains the given set.
- The act of shutting or closing something permanently or temporarily.
- (mathematics) The smallest set that both includes a given subset and possesses some given property.
- (figurative) A feeling of completeness; the experience of an emotional conclusion, usually to a difficult period.
- That which closes or shuts; that by which separate parts are fastened or closed.
- (sociology) The phenomenon by which a group maintains its resources by the exclusion of others based on various criteria. ᵂᵖ
- (programming) An abstraction that represents a function within an environment, a context consisting of the variables that are both bound at a particular time during the execution of the program and that are within the function's scope.
- An event or occurrence that signifies an ending.
- (comics) The process whereby the reader of a comic book infers the sequence of events by looking at the picture panels.
- The act of shutting; a closing.
- (politics) A method of ending a parliamentary debate and securing an immediate vote upon a measure before a legislative body.
- A device to facilitate temporary and repeatable opening and closing.
- (food packaging industry) The element of packaging that closes a container.
- approaching a particular destination; a coming closer; a narrowing of a gap
- an obstruction in a pipe or tube
- termination of operations
- the act of blocking
- a rule for limiting or ending debate in a deliberative body
- something settled or resolved; the outcome of decision making
- a Gestalt principle of organization holding that there is an innate tendency to perceive incomplete objects as complete and to close or fill gaps and to perceive asymmetric stimuli as symmetric
verb
noun
- (mathematical analysis) A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set.
- (mathematics, probability theory) A complex function completely defining the probability distribution of a real-valued random variable
- (electronics) graph showing how a particular characteristic of a device varies with other parameters
noun
- (topology, algebraic geometry) A property that is true in some dense open subset of a given set.
- Used other than figuratively or idiomatically: see generic, property.
- (mathematics, measure theory) A property that is true almost everywhere in a given set (i.e., the set of points at which the property is not true is either of measure zero or a subset of a set of measure zero).
noun
- A non-existent or empty value or set of values.
- (computing) The attribute of an entity that has no valid value.
- (computing) The null character; the ASCII or Unicode character (␀), represented by a zero value, which indicates no character and is sometimes used as a string terminator.
- One of the beads in nulled work.
- (statistics) The null hypothesis.
- Zero quantity of expressions; nothing.
- Something that has no force or meaning.
- a quantity of no importance; thing (object:), singular, negative pronoun; pronoun, thing, singular; quantifier: negative existential
adj
- (mathematics) Of the null set.
- Insignificant.
- (mechanical engineering, of a position or setting) Neutral.
- Having no validity; "null and void".
- (genetics, of a mutation) Causing a complete loss of gene function; amorphic.
- Absent or non-existent.
- (mathematics) Of or comprising a value of precisely zero.
- lacking any legal or binding force
verb
adj
- (mathematics, more generally, of a function between two topological spaces) Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).
- Without intervening space; continued.
- (grammar) Expressing an ongoing action or state.
- (botany) Not deviating or varying from uniformity; not interrupted; not joined or articulated.
- Without stopping; without a break, cessation, or interruption.
- (mathematical analysis, of a function) Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D.
- of a function or curve; extending without break or irregularity
- continuing in time or space without interruption
noun
- (topology) Any collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.
- (mathematics, uncountable) The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).
- (technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
- (topography) The topographical study of geographic locations or given places in relation to their history.
- (medicine) The anatomical structure of part of the body.
- (computing) The arrangement of nodes in a communications network.
- topographic study of a given place (especially the history of the place as indicated by its topography)
- the configuration of a communication network
- the study of anatomy based on regions or divisions of the body and emphasizing the relations between various structures (muscles and nerves and arteries etc.) in that region
- the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions
noun
- (mathematics) A non-zero member of a partially ordered set that has only zero below it (assuming that the poset has a least element, its "zero").
- (mathematics, set theory) An element of a set that is not itself a set; an urelement.
- (Canada, usually attributive) An age group division in hockey for nine- to eleven-year-olds.
- (philosophy) In logical atomism, a fundamental fact that cannot be further broken down.
- (historical) The smallest medieval unit of time, equal to fifteen ninety-fourths of a second.
- (programming, Microsoft Windows) An integer representing a particular string.
- (now generally regarded figuratively) The smallest, indivisible constituent part or unit of something.
- A mote of dust in a sunbeam.
- (chemistry, physics) The smallest possible amount of matter which still retains its identity as a chemical element, now known to consist of a nucleus surrounded by electrons.
- A very small amount; a whit.
- (programming, Lisp) An individual number or symbol, as opposed to a list; a scalar value.
- (history of science) A hypothetical particle posited by Greek philosophers as an ultimate and indivisible component of matter.
- (physics and chemistry) the smallest component of an element having the chemical properties of the element
- (nontechnical usage) a tiny piece of anything
noun
- (set theory) A finite sequence of terms.
- (databases) A single row in a relational database.
- (programming) A fixed-size container data type similar to a list that can hold different types of elements.
- (computing) A set of comma-separated values passed to a program or operating system as a parameter to a function call.
noun
- (countable, set theory, mathematical analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
- (figurative) A system or process (especially one that is complex or convoluted) that substitutes one thing for another, or uses signs or symbols to represent concepts or ideas.
- An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.
- (uncountable, mathematics, sometimes capitalized) Abstract algebra: A broad field of study in modern mathematics (often mentioned alongside analysis) loosely characterized by its concern for abstraction and symmetry, dealing with the behavior, classification, and application of a large class of objects (called algebraic structures) and the maps between them (called, most generally, morphisms).
- (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
- (uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
- A universal algebra.
- the mathematics of generalized arithmetical operations
adj
- (mathematics, set theory) Of a countably infinite set, having a computable indicator function.
- (mathematics) of a number, able to be approximated to arbitrary precision by a computable function
- Capable of being computed, or enumerated.
- (computing theory) Of a problem, solvable by a Turing machine or any thereto Turing-equivalent model; Turing-computable.
- may be computed or estimated
adj
- (mathematics) Of a function: that is always nonincreasing or nondecreasing on an interval.
- (of speech or a sound) Having a single unvaried pitch.
- (printing) Synonym of monochrome.
- sounded or spoken in a tone unvarying in pitch
- of a sequence or function; consistently increasing and never decreasing or consistently decreasing and never increasing in value
noun
verb
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- a formal or official social gathering or ceremony
- the actions and activities assigned to or required or expected of a person or group
- a relation such that one thing is dependent on another
- a formal or official social gathering or ceremony of people
- what something is used for
- a set sequence of steps, part of larger computer program
- (anthropology) The role of a social practice in the continued existence of the group.
- Something which is dependent on or stems from another thing; a result or concomitant.
- An official or social occasion.
- What something does or is used for.
- A professional or official position.
- (slang) A party.
- (chemistry) The characteristic behavior of a chemical compound.
- (mathematics) A relation in which each element of the domain is associated with exactly one element of the codomain.
- (biology) The physiological activity of an organ or body part.
- (computing) A routine that receives zero or more arguments and may return a result.
- A relation where one thing is dependent on another for its existence, value, or significance.
verb
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- a diagrammatic representation of the earth's surface (or part of it)
- (board games, video games) An imaginary or fictional area, often predefined and confined, where a game or a session thereof takes place.
- (entomology) Any of various nymphalid butterflies of the genera Araschnia (especially, Araschnia levana) and Cyrestis, having map-like markings on the wings.
- (computing) Synonym of associative array.
- A graphical or logical representation of any structure or system, showing the positions of or relationships between its components.
- A visual representation of an area, whether real or imaginary, showing the relative positions of places and other features.
- (mathematics) A function, especially a function satisfying a certain property (e.g. continuity, linearity, etc.; see Usage notes).
verb
- depict as if on a map
- explore or survey for the purpose of making a map
- make a map of; show or establish the features of details of
- to establish a mapping (of mathematical elements or sets)
- plan, delineate, or arrange in detail
- locate within a specific region of a chromosome in relation to known DNA or gene sequences
- (transitive, computing) To assign a drive letter to a shared folder.
- (transitive) To create a map of; to examine or survey in order to gather information for a map.
- (mathematics, transitive, followed by a "to" phrase) To act as a function on something, taking it to something else.
- (intransitive, followed by a "to" phrase) To have a direct relationship; to correspond.
- (transitive) To represent by means of a map.
- (transitive, followed by a "to" phrase) To create a direct relationship to; to create a correspondence with.
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- (genetics) the process of locating genes on a chromosome
- the process of making maps
- (biology) The process of locating genes on a chromosome.
- The process of making maps.
- (object-oriented programming) conversion of data types between incompatible type systems.
- (computing) Assigning a PC to a shared drive or printer port on a network.
- (mathematics) A function that maps every element of a given mathematical structure (eg: a set) to a unique element of another structure; a correspondence.
verb
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- (mathematics) Synonym of function (“a relation in which each element of the domain is associated with exactly one element of the codomain”).
noun
- (mathematics) A function or other mapping that carries values defined on a domain into another value or set of values in a defined range.
- A telecommunications facilitator whose job is to connect or otherwise assist callers.
- (by ellipsis, mining) The company that operates a mine; often the same one that owns the mine.
- A person or organisation that operates a device, system, service, etc.
- (uncountable) The game of Chinese whispers.
- (linguistics) A kind of expression that enters into an a-bar movement dependency and is said to bind a variable.
- (computing) A symbol that represents a construct in a programming language and differs from a normal function in its syntax.
- A member of a military special operations unit.
- (informal) A person who is adept at making deals or getting results, especially one who uses questionable methods.
- (computing) The administrator of a channel or network on IRC.
- (slang) A thief or charlatan.
- (transport) A bus driver.
- (slang) A major criminal.
- an agent that operates some apparatus or machine
- (mathematics) a symbol or function representing a mathematical operation
- someone who owns or operates a business
- a shrewd or unscrupulous person who knows how to circumvent difficulties
- a speculator who trades aggressively on stock or commodity markets
noun
- (mathematics) A value of the independent variables of a function, for which the function is equal to zero.
- The value of a magnitude corresponding to the cardinal number zero.
- (informal, uncountable) Nothing, or none.
- The numeric symbol that represents the cardinal number zero.
- The point on a scale at which numbering or measurement originates.
- (mathematics, algebra) The additive identity element of a monoid or greater algebraic structure, particularly a group or ring.
- (slang) A person dismissed as unimportant.
- (finance) A security which has a zero coupon (paying no periodic interest).
- The digit 0 in the decimal, binary, and all other base numbering systems.
- (military, usually capitalized) A Mitsubishi A6M Zero, a long range fighter aircraft operated by the Imperial Japanese Navy Air Service from 1940 to 1945.
- A setting of calibrated instruments such as a firearm, corresponding to a zero value.
- a quantity of no importance; thing (object:), singular, negative pronoun; pronoun, thing, singular; quantifier: negative existential
- the point on a scale from which positive or negative numerical quantities can be measured
- the sight setting that will cause a projectile to hit the center of the target with no wind blowing
- a mathematical element that when added to another number yields the same number
adj
- (meteorology) Of a cloud ceiling, limiting vision to 50 feet (15 meters) or less.
- (linguistics) Present at an abstract level, but not realized in the surface form.
- (meteorology) Of horizontal visibility, limited to 165 feet (50.3 meters) or less.
- (postpositive) Used in the names of foodstuffs, especially beverages, to indicate a version with no calories
- of or relating to the null set (a set with no members)
- having no measurable or otherwise determinable value
- indicating the absence of any or all units under consideration
- indicating an initial point or origin
det
num
verb
noun
- (mathematics, set theory, topology, of a set S, with respect to an equivalence relation or function, countable) The smallest set containing S which is saturated with respect to the equivalence relation or function.
- The flooding of a market with all of a product that can be sold.
- Chromatic purity; freedom from dilution with white.
- (telecommunications) The point at which the output of a linear device, such as a linear amplifier, deviates significantly from being a linear function of the input when the input signal is increased.
- (art) The intensity or vividness of a colour.
- (computing) A form of arithmetic in which all operations are limited to a fixed range of values. See Saturation arithmetic.
- (music) An effect on the sound of an electric guitar, used primarily in heavy metal music.
- The act of saturating or the process of being saturated.
- intense bombing of a military target with the aim of destroying it.
- (telecommunications) The condition at which a component of the system has reached its maximum traffic-handling capacity, i.e. one erlang per circuit.
- (chemistry) The state of an organic compound that has no double or triple bonds.
- (chemistry) The state of a saturated solution.
- (meteorology) The state of the atmosphere when it is saturated with water vapour; 100% humidity.
- (physics) The condition in which, after a sufficient increase in a causal force, no further increase in the resultant effect is possible; e.g. the state of a ferromagnetic material that cannot be further magnetized.
- chromatic purity: freedom from dilution with white and hence vivid in hue
- the process of totally saturating something with a substance
- a condition in which a quantity no longer responds to some external influence
- the act of soaking thoroughly with a liquid
noun
- (mathematical analysis) A lower bound of a set which is also an element of that set.
- (astronomy) A period of minimum brightness or energy intensity (of a star).
- (statistics) The smallest member of a batch or sample or the lower bound of a probability distribution.
- The lowest limit.
- The smallest amount.
- the smallest possible quantity
- the point on a curve where the tangent changes from negative on the left to positive on the right
adj
noun
- (mathematics) An equivalence class that includes a specified function defined in an open neighborhood.
- (figurative) The origin or earliest version of an idea or project.
- A pathogen: a pathogenic microorganism, such as a bacterium or virus.
- (biology) The small mass of cells from which a part of an organism develops, or a macroscopic but immature form of that part; a bud.
- The embryo of a seed, especially of a seed used as a cereal or grain. See Wikipedia article on cereal germ.
- a minute life form (especially a disease-causing bacterium); the term is not in technical use
- anything that provides inspiration for later work
- a small apparently simple structure (as a fertilized egg) from which new tissue can develop into a complete organism
verb
noun
adj
noun
- (uncountable, mathematics) A characteristic property of a continuous function.
- Lack of interruption or disconnection; the quality of being continuous in space or time.
- (countable, narratology) A canon; one specific fictional universe within a multiverse.
- (uncountable, radio, television) The announcements and messages inserted by the broadcaster between programmes.
- (uncountable, narratology) A narrative device in episodic fiction where previous and/or future events in a series of stories are accounted for in present stories.
- (uncountable, film) Consistency between multiple shots depicting the same scene but possibly filmed on different occasions.
- the property of a continuous and connected period of time
- uninterrupted connection or union
- a detailed script used in making a film in order to avoid discontinuities from shot to shot
adj
- (set theory) A type of set of natural numbers, related to mathematical logic; a set S is productive if there exists a total recursive function f such that ∀x∈ℕ,~~W_x⊆S⇒f(x)∈A⧵W_x, where W_x is a recursive function whose Gödel number is x.
- Yielding good or useful results; constructive.
- (medicine) Of inflammation, producing new tissue.
- Of, or relating to the creation of goods or services.
- Capable of producing something, especially in abundance; fertile.
- (linguistics, of an affix or word construction rule) Consistently applicable to any of an open set of words.
- (medicine) Of a cough, producing mucus or sputum from the respiratory tract.
- producing or capable of producing (especially abundantly)
- yielding positive results
- having the ability to produce or originate
- marked by great fruitfulness
adj
- (set theory) A type of set of natural numbers, related to mathematical logic.
- Tending to create things, or having the ability to create; often, excellently, in a novel fashion, or any or all of these.
- (euphemistic, of art) bad, unartistic, busy.
- Designed or executed to deceive or mislead.
- (of a created thing) Original, expressive and imaginative.
- promoting construction or creation
- having the ability or power to create
noun
noun
adj
noun
- (topology) A function derived, in a standard way, from another, such that the instant function’s domain and codomain are suspensions of the original function’s.
- (Scots law) A stay or postponement of the execution of a sentence, usually by letters of suspension granted on application to the Lord Ordinary.
- A temporary or conditional delay, interruption or discontinuation.
- Thus a kind of silt or sludge.
- The temporary barring of a person from a workplace, society, etc. pending investigation into alleged misconduct.
- (chemistry, physics) The state of a solid or substance produced when its particles are mixed with, but not dissolved in, a fluid, and are capable of separation by straining.
- (education) The process of barring a student from school grounds as a form of punishment (particularly out-of-school suspension).
- (music) The act of or discord produced by prolonging one or more tones of a chord into the chord which follows, thus producing a momentary discord, suspending the concord which the ear expects.
- (vehicles) The system of springs and shock absorbers connected to the wheels in an automobile, which allows the vehicle to move smoothly with reduced shock to its occupants.
- (topology) A topological space derived from another by taking the product of the original space with an interval and collapsing each end of the product to a point.
- The act of keeping a person who is listening in doubt and expectation of what is to follow.
- The act of suspending, or the state of being suspended.
- the act of suspending something (hanging it from above so it moves freely)
- a temporary debarment (from a privilege or position etc.)
- a mechanical system of springs or shock absorbers connecting the wheels and axles to the chassis of a wheeled vehicle
- a time interval during which there is a temporary cessation of something
- temporary cessation or suspension
- an interruption in the intensity or amount of something
- a mixture in which fine particles are suspended in a fluid where they are supported by buoyancy
noun
- (set theory, topology, mathematical analysis) A set of sets; used because such a thing is in general too large to comply with the formal definition of a set.
- A set of items or amount of material procured, gathered or presented together.
- (Oxford University, usually in the plural) A set of college exams generally taken at the start of the term.
- A gathering of money for charitable or other purposes, as by passing a contribution box for donations.
- The activity of collecting.
- (music) A set of pitch classes used by a composer.
- The quality of being collected; calm composure.
- (law) Debt collection.
- (UK) The jurisdiction of a collector of excise.
- request for a sum of money
- a publication containing a variety of works
- the act of gathering something together
- several things grouped together or considered as a whole
noun
- (mathematics, set theory) The set of input (argument) values for which a function is defined.
- (geology) An area of more or less uniform mineralization.
- A group of related items, topics, or subjects.
- (data processing) A form of technical metadata that represent the type of a data item, its characteristics, name, and usage.
- (physics) A small region of a magnetic material with a consistent magnetization direction.
- A geographic area owned or controlled by a single person or organization.
- (taxonomy) The highest rank in the classification of organisms, above kingdom; in the three-domain system, one of the taxa Bacteria, Archaea, or Eukaryota.
- (mathematics, topology, mathematical analysis) An open and connected set in some topology. For example, the interval (0,1) as a subset of the real numbers.
- (more generally, of a binary relation R between A and B) The set A; The subset of A consisting of elements a of A such that there exists an element b in B with (a,b) in R.
- A field or sphere of activity, influence or expertise.
- (computing) The collection of computers identified by a domain's domain names.
- (computing, Internet) Any DNS domain name, particularly one which has been delegated and has become representative of the delegated domain name and its subdomains.
- (biochemistry) A folded section of a protein molecule that has a discrete function; the equivalent section of a chromosome.
- (mathematics) A ring with no zero divisors; that is, in which no product of nonzero elements is zero.
- (computing) Such a region used as a data storage element in a bubble memory.
- (computing, Internet) A collection of DNS or DNS-like domain names consisting of a delegated domain name and all its subdomains.
- (computing) A collection of information having to do with a domain, the computers named in the domain, and the network on which the computers named in the domain reside.
- the content of a particular field of knowledge
- territory over which rule or control is exercised
- (mathematics) the set of values of the independent variable for which a function is defined
- a particular environment or walk of life
- people in general; especially a distinctive group of people with some shared interest
noun
- (set theory) A collection of non-empty, disjoint subsets of a set whose union is the set itself (i.e. all elements of the set are contained in exactly one of the subsets).
- A vertical structure that divides a room.
- (mathematics) An approach to division in which one asks what the size of each part is, rather than (as in quotition) how many parts there are.
- The division of a territory into two or more autonomous ones.
- (music) A musical score.
- (databases) A division of a database or one of its constituting elements such as tables into separate independent parts.
- A part divided off by walls; an apartment; a compartment.
- An action which divides a thing into parts, or separates one thing from another.
- (computing) A division of a data stream, such as a messaging queue or topic (often representing a unit of parallelism, and of fault tolerance).
- A part of something that has been divided.
- That which divides or separates; that by which different things, or distinct parts of the same thing, are separated; boundary; dividing line or space.
- (computing) A section of a hard disk separately formatted.
- (law) The severance of common or undivided interests, particularly in real estate. It may be effected by consent of parties, or by compulsion of law.
- (computer science) the part of a hard disk that is dedicated to a particular operating system or application and accessed as a single unit
- a vertical structure that divides or separates (as a wall divides one room from another)
- (anatomy) a structure that separates areas in an organism
- the act of dividing or partitioning; separation by the creation of a boundary that divides or keeps apart
verb
adj
- (topology, of a set) Having an open complement.
- Not allowing entrance to visitors or the public.
- Not public.
- (mathematics, logic, of a formula) Lacking a free variable.
- (heraldry) Synonym of close.
- (phonology) Formed by closing the mouth and nose passages completely, like the consonants /t/, /d/, and /p/.
- Of a competition or tournament: with the competitors restricted to a specific group, such as professionals, amateurs, members or residents.
- (electricity, of a switch or circuit breaker) In a position allowing electricity to flow.
- (of a store or business) Not operating or conducting trade.
- Having one end joined to the other, forming a completed loop.
- Settled; decided or determined; withdrawn from consideration.
- (especially sports) Of a club, bat or other hitting implement; angled downwards and/or (for a right-hander) anticlockwise of straight.
- (phonology) Having the sound cut off sharply by a following consonant, like the /ɪ/ in pin.
- (geometry, of a curve) Lacking endpoints. For parametric curves, with the same image for the ends of the domain.
- (geometry, of a surface) Lacking a boundary.
- (graph theory, of a walk) Whose first and last vertices are the same, forming a closed loop.
- Sealed or covered.
- (mathematics, of a set) Such that its image under the specified operation is contained in it.
- Not available for use or operation.
- (computing, of a file, document, etc.) Not in current use; not connected to as a resource.
- Not receptive.
- Physically drawn together, folded or contracted.
- (of a multi-word compound) Having component words joined together without spaces or hyphens; for example, timeslot as opposed to time slot or time-slot.
- Made impassable.
- (engineering, gas and liquid flow, of valve or damper) In a position preventing fluid from flowing.
- requiring union membership
- (set theory) of an interval that contains both its endpoints
- not open
- with shutters closed
- not open to the general public
- used especially of mouth or eyes
- blocked against entry
- not open or affording passage or access
- not having an open mind
verb
noun
noun
- (mathematics) A set of sets that contains the empty set, all one-element sets for any element that is included in any of the sets, and the union of any group of sets that are elements where the intersections of those sets is non-empty.
- An established communications or transportation link.
- A feeling of understanding and ease of communication between two or more people.
- Coherence; lack of disjointedness.
- (slang) A drug dealer.
- (uncountable) The act of connecting.
- A kinship relationship between people.
- The point at which two or more things are connected.
- A person related to oneself, through either family or business.
- (transport) A transfer from one transportation vehicle to another in scheduled transportation service.
- Sexual intercourse.
- (religion) A Methodist denomination as a whole, as opposed to its constituent churches, circuits, districts and conferences.
- a relation between things or events (as in the case of one causing the other or sharing features with it)
- shifting from one form of transportation to another
- the process of bringing ideas or events together in memory or imagination
- a connecting shape
- (usually plural) a person who is influential and to whom you are connected in some way (as by family or friendship)
- the act of bringing two things into contact (especially for communication)
- the state of being connected
- an instrumentality that connects
- a supplier (especially of narcotics)
noun
- (mathematics, set theory, of a function f) The set of pairs of elements in the domain of f which are mapped to the same value; the equivalence relation x≡y⟺f(x)=f(y).
- (mathematics, category theory, of a morphism f:X→Y in a category with zero morphisms) The equalizer of f and the zero morphism from X to Y, denoted operatorname kerf.
- (botany, US) The stone of certain fruits, such as peaches or plums.
- (botany) A single seed of grain, especially of corn or wheat.
- (computing) The central part of many computer operating systems which manages the system's resources and the communication between hardware and software components.
- (slang) The human clitoris.
- (computing) The core engine of any complex software system.
- (programming) The simplified input to an algorithm that has undergone kernelization.
- A small mass around which other matter is concreted; a nucleus; a concretion or hard lump in the flesh.
- (calculus) A function used to define an integral transform.
- (chemistry) The nucleus and electrons of an atom excluding its valence electrons.
- (botany) The central (usually edible) part of a nut, especially once the hard shell has been removed.
- (mathematics, linear algebra, of a linear transformation f:M→N between modules or vector spaces) The set of elements of M which are mapped to the additive identity 0 of N.
- (mathematics, group theory, of a group homomorphism f:G→H between groups) The set of elements of G which are mapped to the identity of H (usually written as 0 in an additive group and as 1 in a multiplicative group).
- (mathematics, fuzzy set theory) The set of members of a fuzzy set that are fully included (i.e., whose grade of membership is 1).
- (mathematics, ring theory, of a ring homomorphism f:R→S between rings) The set of elements of R which are mapped to the additive identity 0 of S.
- (mathematics, category theory) The source of operatorname kerf, denoted operatorname Kerf.
- The core, center, or essence of an object or system.
- a single whole grain of a cereal
- the choicest or most essential or most vital part of some idea or experience
- the inner and usually edible part of a seed or grain or nut or fruit stone
verb
noun
- (set theory) A function that maps distinct x in the domain to distinct y in the codomain; formally, a f: X → Y such that f(a) = f(b) implies a = b for any a, b in the domain.
- (internal combustion engines) Fuel injection: the pressurized introduction of fuel into a cylinder.
- (computer security) The insertion of program code into an application, URL, hardware, etc.; especially when malicious or when the target is not designed for such insertion.
- (space science) The act of putting a spacecraft into a particular orbit, especially for changing a stable orbit into a transfer orbit, e.g. trans-lunar injection.
- The act of injecting, or something that is injected.
- (construction) The act of inserting materials like concrete grout or gravel by using high pressure pumps.
- (mathematics) A relation on sets (X,Y) that associates each element of Y with at most one element of X.
- (category theory) A morphism from either one of the two components of a coproduct to that coproduct.
- (figuratively) The supply of additional funding to a person or a business.
- (steam engines) The act of throwing cold water into a condenser to produce a vacuum.
- A specimen prepared by injection.
- (medicine) Congestion (of a body part, with blood or other fluid), such as hyperemia.
- (steam engines) The cold water thrown into a condenser to produce a vacuum.
- (medicine) Something injected subcutaneously, intravenously, or intramuscularly by use of a syringe and a needle.
- the forceful insertion of a substance under pressure
- any solution that is injected (as into the skin)
- the act of putting a liquid into the body by means of a syringe
noun
- (mathematics) in relation to a function, the set of points where the function is not zero; the closure of that set.
- (sometimes attributive) Something which supports.
- An accompaniment in music.
- Evidence.
- (fuzzy set theory) A set whose elements are at least partially included in a given fuzzy set (i.e., whose grade of membership in that fuzzy set is strictly greater than zero).
- (structural analysis) Horizontal, vertical or rotational support of structures: movable, hinged, fixed.
- An actor playing a subordinate part with a star.
- (computing) Compatibility and functionality for a given product or feature.
- Answers to questions and resolution of problems regarding something sold.
- (commutative algebra, of a module M over a commutative ring R) The set of all prime ideals of R such that the localization of M at the prime is nonzero, denoted operatorname SuppM
- Financial or other help.
- (gymnastics) Clipping of support position.
- financial resources provided to make some project possible
- any device that bears the weight of another thing
- the act of bearing the weight of or strengthening
- supporting structure that holds up or provides a foundation
- a military operation (often involving new supplies of men and materiel) to strengthen a military force or aid in the performance of its mission
- aiding the cause or policy or interests of
- the activity of providing for or maintaining by supplying with money or necessities
- something providing immaterial assistance to a person or cause or interest
- the financial means whereby one lives
- a musical part (vocal or instrumental) that supports or provides background for other musical parts
- documentary validation
verb
- (transitive) To answer questions and resolve problems regarding something sold.
- (transitive) To serve, as in a customer-oriented position; to give support to.
- (transitive) To provide evidence for; to lend credibility to.
- (transitive) To provide sustenance or maintenance for; to sustain in integrity or livelihood.
- (transitive) To back or favor a cause, party, etc., mentally or with concrete aid:
- (transitive) To help keep from falling.
- (transitive) To play a lesser part in the same production with (a star performer).
- (transitive) To assist or be involved with, but not be responsible for.
- (transitive) To help, particularly financially; to subsidize.
- (transitive, said of electronic devices, programming languages, etc.) To be designed to provide capacity for; to work or be compatible with (a part, accessory, file type, program, algorithm, etc.).
- be the physical support of; carry the weight of
- be a regular customer or client of
- put up with something or somebody unpleasant
- argue or speak in defense of
- support with evidence or authority or make more certain or confirm
- adopt as a belief
- give moral or psychological support, aid, or courage to
- establish or strengthen as with new evidence or facts
- play a subordinate role to (another performer)
- be behind; approve of
- support materially or financially
noun
- (more formally) A mathematical object comprising a carrier set (aka underlying set or domain), an optional scalar set, a set of operations (typically binary operations, but otherwise each of finite arity) and a set of identities (axioms) which the operations must satisfy.
- (algebra, universal algebra) Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra.
noun
- (topology, of a set) The smallest closed set which contains the given set.
- The act of shutting or closing something permanently or temporarily.
- (mathematics) The smallest set that both includes a given subset and possesses some given property.
- (figurative) A feeling of completeness; the experience of an emotional conclusion, usually to a difficult period.
- That which closes or shuts; that by which separate parts are fastened or closed.
- (sociology) The phenomenon by which a group maintains its resources by the exclusion of others based on various criteria. ᵂᵖ
- (programming) An abstraction that represents a function within an environment, a context consisting of the variables that are both bound at a particular time during the execution of the program and that are within the function's scope.
- An event or occurrence that signifies an ending.
- (comics) The process whereby the reader of a comic book infers the sequence of events by looking at the picture panels.
- The act of shutting; a closing.
- (politics) A method of ending a parliamentary debate and securing an immediate vote upon a measure before a legislative body.
- A device to facilitate temporary and repeatable opening and closing.
- (food packaging industry) The element of packaging that closes a container.
- approaching a particular destination; a coming closer; a narrowing of a gap
- an obstruction in a pipe or tube
- termination of operations
- the act of blocking
- a rule for limiting or ending debate in a deliberative body
- something settled or resolved; the outcome of decision making
- a Gestalt principle of organization holding that there is an innate tendency to perceive incomplete objects as complete and to close or fill gaps and to perceive asymmetric stimuli as symmetric
verb
noun
- (mathematical analysis) A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set.
- (mathematics, probability theory) A complex function completely defining the probability distribution of a real-valued random variable
- (electronics) graph showing how a particular characteristic of a device varies with other parameters
noun
- (topology, algebraic geometry) A property that is true in some dense open subset of a given set.
- Used other than figuratively or idiomatically: see generic, property.
- (mathematics, measure theory) A property that is true almost everywhere in a given set (i.e., the set of points at which the property is not true is either of measure zero or a subset of a set of measure zero).
noun
- A non-existent or empty value or set of values.
- (computing) The attribute of an entity that has no valid value.
- (computing) The null character; the ASCII or Unicode character (␀), represented by a zero value, which indicates no character and is sometimes used as a string terminator.
- One of the beads in nulled work.
- (statistics) The null hypothesis.
- Zero quantity of expressions; nothing.
- Something that has no force or meaning.
- a quantity of no importance; thing (object:), singular, negative pronoun; pronoun, thing, singular; quantifier: negative existential
adj
- (mathematics) Of the null set.
- Insignificant.
- (mechanical engineering, of a position or setting) Neutral.
- Having no validity; "null and void".
- (genetics, of a mutation) Causing a complete loss of gene function; amorphic.
- Absent or non-existent.
- (mathematics) Of or comprising a value of precisely zero.
- lacking any legal or binding force
verb
noun
- (topology) Any collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.
- (mathematics, uncountable) The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).
- (technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
- (topography) The topographical study of geographic locations or given places in relation to their history.
- (medicine) The anatomical structure of part of the body.
- (computing) The arrangement of nodes in a communications network.
- topographic study of a given place (especially the history of the place as indicated by its topography)
- the configuration of a communication network
- the study of anatomy based on regions or divisions of the body and emphasizing the relations between various structures (muscles and nerves and arteries etc.) in that region
- the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions
noun
- (mathematics) A non-zero member of a partially ordered set that has only zero below it (assuming that the poset has a least element, its "zero").
- (mathematics, set theory) An element of a set that is not itself a set; an urelement.
- (Canada, usually attributive) An age group division in hockey for nine- to eleven-year-olds.
- (philosophy) In logical atomism, a fundamental fact that cannot be further broken down.
- (historical) The smallest medieval unit of time, equal to fifteen ninety-fourths of a second.
- (programming, Microsoft Windows) An integer representing a particular string.
- (now generally regarded figuratively) The smallest, indivisible constituent part or unit of something.
- A mote of dust in a sunbeam.
- (chemistry, physics) The smallest possible amount of matter which still retains its identity as a chemical element, now known to consist of a nucleus surrounded by electrons.
- A very small amount; a whit.
- (programming, Lisp) An individual number or symbol, as opposed to a list; a scalar value.
- (history of science) A hypothetical particle posited by Greek philosophers as an ultimate and indivisible component of matter.
- (physics and chemistry) the smallest component of an element having the chemical properties of the element
- (nontechnical usage) a tiny piece of anything
noun
- (set theory) A finite sequence of terms.
- (databases) A single row in a relational database.
- (programming) A fixed-size container data type similar to a list that can hold different types of elements.
- (computing) A set of comma-separated values passed to a program or operating system as a parameter to a function call.
noun
- (countable, set theory, mathematical analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
- (figurative) A system or process (especially one that is complex or convoluted) that substitutes one thing for another, or uses signs or symbols to represent concepts or ideas.
- An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.
- (uncountable, mathematics, sometimes capitalized) Abstract algebra: A broad field of study in modern mathematics (often mentioned alongside analysis) loosely characterized by its concern for abstraction and symmetry, dealing with the behavior, classification, and application of a large class of objects (called algebraic structures) and the maps between them (called, most generally, morphisms).
- (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
- (uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
- A universal algebra.
- the mathematics of generalized arithmetical operations
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- a formal or official social gathering or ceremony
- the actions and activities assigned to or required or expected of a person or group
- a relation such that one thing is dependent on another
- a formal or official social gathering or ceremony of people
- what something is used for
- a set sequence of steps, part of larger computer program
- (anthropology) The role of a social practice in the continued existence of the group.
- Something which is dependent on or stems from another thing; a result or concomitant.
- An official or social occasion.
- What something does or is used for.
- A professional or official position.
- (slang) A party.
- (chemistry) The characteristic behavior of a chemical compound.
- (mathematics) A relation in which each element of the domain is associated with exactly one element of the codomain.
- (biology) The physiological activity of an organ or body part.
- (computing) A routine that receives zero or more arguments and may return a result.
- A relation where one thing is dependent on another for its existence, value, or significance.
verb
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- a diagrammatic representation of the earth's surface (or part of it)
- (board games, video games) An imaginary or fictional area, often predefined and confined, where a game or a session thereof takes place.
- (entomology) Any of various nymphalid butterflies of the genera Araschnia (especially, Araschnia levana) and Cyrestis, having map-like markings on the wings.
- (computing) Synonym of associative array.
- A graphical or logical representation of any structure or system, showing the positions of or relationships between its components.
- A visual representation of an area, whether real or imaginary, showing the relative positions of places and other features.
- (mathematics) A function, especially a function satisfying a certain property (e.g. continuity, linearity, etc.; see Usage notes).
verb
- depict as if on a map
- explore or survey for the purpose of making a map
- make a map of; show or establish the features of details of
- to establish a mapping (of mathematical elements or sets)
- plan, delineate, or arrange in detail
- locate within a specific region of a chromosome in relation to known DNA or gene sequences
- (transitive, computing) To assign a drive letter to a shared folder.
- (transitive) To create a map of; to examine or survey in order to gather information for a map.
- (mathematics, transitive, followed by a "to" phrase) To act as a function on something, taking it to something else.
- (intransitive, followed by a "to" phrase) To have a direct relationship; to correspond.
- (transitive) To represent by means of a map.
- (transitive, followed by a "to" phrase) To create a direct relationship to; to create a correspondence with.
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- (genetics) the process of locating genes on a chromosome
- the process of making maps
- (biology) The process of locating genes on a chromosome.
- The process of making maps.
- (object-oriented programming) conversion of data types between incompatible type systems.
- (computing) Assigning a PC to a shared drive or printer port on a network.
- (mathematics) A function that maps every element of a given mathematical structure (eg: a set) to a unique element of another structure; a correspondence.
verb
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- (mathematics) Synonym of function (“a relation in which each element of the domain is associated with exactly one element of the codomain”).
noun
- (mathematics) A function or other mapping that carries values defined on a domain into another value or set of values in a defined range.
- A telecommunications facilitator whose job is to connect or otherwise assist callers.
- (by ellipsis, mining) The company that operates a mine; often the same one that owns the mine.
- A person or organisation that operates a device, system, service, etc.
- (uncountable) The game of Chinese whispers.
- (linguistics) A kind of expression that enters into an a-bar movement dependency and is said to bind a variable.
- (computing) A symbol that represents a construct in a programming language and differs from a normal function in its syntax.
- A member of a military special operations unit.
- (informal) A person who is adept at making deals or getting results, especially one who uses questionable methods.
- (computing) The administrator of a channel or network on IRC.
- (slang) A thief or charlatan.
- (transport) A bus driver.
- (slang) A major criminal.
- an agent that operates some apparatus or machine
- (mathematics) a symbol or function representing a mathematical operation
- someone who owns or operates a business
- a shrewd or unscrupulous person who knows how to circumvent difficulties
- a speculator who trades aggressively on stock or commodity markets
noun
- (mathematics) A value of the independent variables of a function, for which the function is equal to zero.
- The value of a magnitude corresponding to the cardinal number zero.
- (informal, uncountable) Nothing, or none.
- The numeric symbol that represents the cardinal number zero.
- The point on a scale at which numbering or measurement originates.
- (mathematics, algebra) The additive identity element of a monoid or greater algebraic structure, particularly a group or ring.
- (slang) A person dismissed as unimportant.
- (finance) A security which has a zero coupon (paying no periodic interest).
- The digit 0 in the decimal, binary, and all other base numbering systems.
- (military, usually capitalized) A Mitsubishi A6M Zero, a long range fighter aircraft operated by the Imperial Japanese Navy Air Service from 1940 to 1945.
- A setting of calibrated instruments such as a firearm, corresponding to a zero value.
- a quantity of no importance; thing (object:), singular, negative pronoun; pronoun, thing, singular; quantifier: negative existential
- the point on a scale from which positive or negative numerical quantities can be measured
- the sight setting that will cause a projectile to hit the center of the target with no wind blowing
- a mathematical element that when added to another number yields the same number
adj
- (meteorology) Of a cloud ceiling, limiting vision to 50 feet (15 meters) or less.
- (linguistics) Present at an abstract level, but not realized in the surface form.
- (meteorology) Of horizontal visibility, limited to 165 feet (50.3 meters) or less.
- (postpositive) Used in the names of foodstuffs, especially beverages, to indicate a version with no calories
- of or relating to the null set (a set with no members)
- having no measurable or otherwise determinable value
- indicating the absence of any or all units under consideration
- indicating an initial point or origin
det
num
verb
noun
- (mathematics, set theory, topology, of a set S, with respect to an equivalence relation or function, countable) The smallest set containing S which is saturated with respect to the equivalence relation or function.
- The flooding of a market with all of a product that can be sold.
- Chromatic purity; freedom from dilution with white.
- (telecommunications) The point at which the output of a linear device, such as a linear amplifier, deviates significantly from being a linear function of the input when the input signal is increased.
- (art) The intensity or vividness of a colour.
- (computing) A form of arithmetic in which all operations are limited to a fixed range of values. See Saturation arithmetic.
- (music) An effect on the sound of an electric guitar, used primarily in heavy metal music.
- The act of saturating or the process of being saturated.
- intense bombing of a military target with the aim of destroying it.
- (telecommunications) The condition at which a component of the system has reached its maximum traffic-handling capacity, i.e. one erlang per circuit.
- (chemistry) The state of an organic compound that has no double or triple bonds.
- (chemistry) The state of a saturated solution.
- (meteorology) The state of the atmosphere when it is saturated with water vapour; 100% humidity.
- (physics) The condition in which, after a sufficient increase in a causal force, no further increase in the resultant effect is possible; e.g. the state of a ferromagnetic material that cannot be further magnetized.
- chromatic purity: freedom from dilution with white and hence vivid in hue
- the process of totally saturating something with a substance
- a condition in which a quantity no longer responds to some external influence
- the act of soaking thoroughly with a liquid
noun
- (mathematical analysis) A lower bound of a set which is also an element of that set.
- (astronomy) A period of minimum brightness or energy intensity (of a star).
- (statistics) The smallest member of a batch or sample or the lower bound of a probability distribution.
- The lowest limit.
- The smallest amount.
- the smallest possible quantity
- the point on a curve where the tangent changes from negative on the left to positive on the right
adj
noun
- (mathematics) An equivalence class that includes a specified function defined in an open neighborhood.
- (figurative) The origin or earliest version of an idea or project.
- A pathogen: a pathogenic microorganism, such as a bacterium or virus.
- (biology) The small mass of cells from which a part of an organism develops, or a macroscopic but immature form of that part; a bud.
- The embryo of a seed, especially of a seed used as a cereal or grain. See Wikipedia article on cereal germ.
- a minute life form (especially a disease-causing bacterium); the term is not in technical use
- anything that provides inspiration for later work
- a small apparently simple structure (as a fertilized egg) from which new tissue can develop into a complete organism
verb
noun
adj
noun
- (uncountable, mathematics) A characteristic property of a continuous function.
- Lack of interruption or disconnection; the quality of being continuous in space or time.
- (countable, narratology) A canon; one specific fictional universe within a multiverse.
- (uncountable, radio, television) The announcements and messages inserted by the broadcaster between programmes.
- (uncountable, narratology) A narrative device in episodic fiction where previous and/or future events in a series of stories are accounted for in present stories.
- (uncountable, film) Consistency between multiple shots depicting the same scene but possibly filmed on different occasions.
- the property of a continuous and connected period of time
- uninterrupted connection or union
- a detailed script used in making a film in order to avoid discontinuities from shot to shot
noun
adj
noun
- (topology) A function derived, in a standard way, from another, such that the instant function’s domain and codomain are suspensions of the original function’s.
- (Scots law) A stay or postponement of the execution of a sentence, usually by letters of suspension granted on application to the Lord Ordinary.
- A temporary or conditional delay, interruption or discontinuation.
- Thus a kind of silt or sludge.
- The temporary barring of a person from a workplace, society, etc. pending investigation into alleged misconduct.
- (chemistry, physics) The state of a solid or substance produced when its particles are mixed with, but not dissolved in, a fluid, and are capable of separation by straining.
- (education) The process of barring a student from school grounds as a form of punishment (particularly out-of-school suspension).
- (music) The act of or discord produced by prolonging one or more tones of a chord into the chord which follows, thus producing a momentary discord, suspending the concord which the ear expects.
- (vehicles) The system of springs and shock absorbers connected to the wheels in an automobile, which allows the vehicle to move smoothly with reduced shock to its occupants.
- (topology) A topological space derived from another by taking the product of the original space with an interval and collapsing each end of the product to a point.
- The act of keeping a person who is listening in doubt and expectation of what is to follow.
- The act of suspending, or the state of being suspended.
- the act of suspending something (hanging it from above so it moves freely)
- a temporary debarment (from a privilege or position etc.)
- a mechanical system of springs or shock absorbers connecting the wheels and axles to the chassis of a wheeled vehicle
- a time interval during which there is a temporary cessation of something
- temporary cessation or suspension
- an interruption in the intensity or amount of something
- a mixture in which fine particles are suspended in a fluid where they are supported by buoyancy
noun
- (set theory, topology, mathematical analysis) A set of sets; used because such a thing is in general too large to comply with the formal definition of a set.
- A set of items or amount of material procured, gathered or presented together.
- (Oxford University, usually in the plural) A set of college exams generally taken at the start of the term.
- A gathering of money for charitable or other purposes, as by passing a contribution box for donations.
- The activity of collecting.
- (music) A set of pitch classes used by a composer.
- The quality of being collected; calm composure.
- (law) Debt collection.
- (UK) The jurisdiction of a collector of excise.
- request for a sum of money
- a publication containing a variety of works
- the act of gathering something together
- several things grouped together or considered as a whole
noun
- (mathematics, set theory) The set of input (argument) values for which a function is defined.
- (geology) An area of more or less uniform mineralization.
- A group of related items, topics, or subjects.
- (data processing) A form of technical metadata that represent the type of a data item, its characteristics, name, and usage.
- (physics) A small region of a magnetic material with a consistent magnetization direction.
- A geographic area owned or controlled by a single person or organization.
- (taxonomy) The highest rank in the classification of organisms, above kingdom; in the three-domain system, one of the taxa Bacteria, Archaea, or Eukaryota.
- (mathematics, topology, mathematical analysis) An open and connected set in some topology. For example, the interval (0,1) as a subset of the real numbers.
- (more generally, of a binary relation R between A and B) The set A; The subset of A consisting of elements a of A such that there exists an element b in B with (a,b) in R.
- A field or sphere of activity, influence or expertise.
- (computing) The collection of computers identified by a domain's domain names.
- (computing, Internet) Any DNS domain name, particularly one which has been delegated and has become representative of the delegated domain name and its subdomains.
- (biochemistry) A folded section of a protein molecule that has a discrete function; the equivalent section of a chromosome.
- (mathematics) A ring with no zero divisors; that is, in which no product of nonzero elements is zero.
- (computing) Such a region used as a data storage element in a bubble memory.
- (computing, Internet) A collection of DNS or DNS-like domain names consisting of a delegated domain name and all its subdomains.
- (computing) A collection of information having to do with a domain, the computers named in the domain, and the network on which the computers named in the domain reside.
- the content of a particular field of knowledge
- territory over which rule or control is exercised
- (mathematics) the set of values of the independent variable for which a function is defined
- a particular environment or walk of life
- people in general; especially a distinctive group of people with some shared interest
noun
- (set theory) A collection of non-empty, disjoint subsets of a set whose union is the set itself (i.e. all elements of the set are contained in exactly one of the subsets).
- A vertical structure that divides a room.
- (mathematics) An approach to division in which one asks what the size of each part is, rather than (as in quotition) how many parts there are.
- The division of a territory into two or more autonomous ones.
- (music) A musical score.
- (databases) A division of a database or one of its constituting elements such as tables into separate independent parts.
- A part divided off by walls; an apartment; a compartment.
- An action which divides a thing into parts, or separates one thing from another.
- (computing) A division of a data stream, such as a messaging queue or topic (often representing a unit of parallelism, and of fault tolerance).
- A part of something that has been divided.
- That which divides or separates; that by which different things, or distinct parts of the same thing, are separated; boundary; dividing line or space.
- (computing) A section of a hard disk separately formatted.
- (law) The severance of common or undivided interests, particularly in real estate. It may be effected by consent of parties, or by compulsion of law.
- (computer science) the part of a hard disk that is dedicated to a particular operating system or application and accessed as a single unit
- a vertical structure that divides or separates (as a wall divides one room from another)
- (anatomy) a structure that separates areas in an organism
- the act of dividing or partitioning; separation by the creation of a boundary that divides or keeps apart
verb
verb
- (specifically, mathematics) To consider (a function) as defined on a subset of its original domain.
- To restrain within boundaries; to limit; to confine
- place under restrictions; limit access to by law
- place limits on (extent or amount or access)
- prevent (information) from being circulated or disclosed
- place restrictions on
adj
- (mathematics, topology, of a set) Which is part of a predefined collection of subsets of X, that defines a topological space on X.
- (phonetics) Uttered, as a consonant, with the oral passage simply narrowed without closure.
- Able to have something pass through or along it.
- (sometimes business) Not fulfilled or resolved; incomplete.
- (computing, not comparable, of a file, document, etc.) In current use; connected to as a resource.
- Not settled; not decided or determined; not withdrawn from consideration.
- Of a space, free of objects and obstructions.
- (law, of correspondence) Written or sent with the intention that it may made public or referred to at any trial, rather than by way of confidential private negotiation for a settlement.
- Of a person, not concealing their feelings, opinions, etc.; candid, ingenuous.
- (not comparable) Available for use or operation.
- Not concealed; overt.
- (electricity, of a switch or circuit breaker) In a position such that a circuit is not completed, preventing electricity from flowing.
- (music) Of a note, played without closing any finger-hole, key or valve.
- (sports and games) Characterised by free-flowing play.
- (comparable, with 'to') Susceptible or vulnerable (to the stated means).
- (now regional) Not of a quality to prevent communication, as by closing waterways, blocking roads, etc.; hence, not frosty or inclement; mild; used of the weather or the climate.
- (engineering, gas and liquid flow, of valve or damper) In a position allowing fluid to flow.
- (music, stringed instruments) Of a note, played without pressing the string against the fingerboard.
- Not covered, sealed, etc.; having an opening or aperture showing what is inside.
- (graph theory, of a walk) Having different first and last vertices.
- (not comparable) Actively conducting or prepared to conduct business.
- (medicine) Resulting from an incision, puncture or any other process by which the skin no longer protects an internal part of the body.
- (computing, of a program or application, especially one with a screen-based interface) Running.
- (phonetics, of a syllable) Ending in a vowel; not having a coda.
- (especially sports) Of a club, bat or other hitting implement, angled upwards and/or (for a right-hander) clockwise of straight.
- (mathematics, logic, of a formula) Having a free variable.
- (phonetics, sometimes with comparative opener) Uttered with a relatively wide opening of the articulating organs; said of vowels.
- (comparable) Receptive.
- Not physically drawn together, folded or contracted.
- (not comparable) Allowing entrance to visitors or the public.
- (of a multi-word compound) Having component words separated by spaces, as opposed to being joined together or hyphenated; for example, time slot as opposed to timeslot or time-slot.
- (sports) Of a tournament or competition, allowing anyone to enter, especially or originally irrespective of professional or amateur status.
- (computing, education) Made public, usable with a free licence and without proprietary components.
- Not having one end joined to the other; not forming a closed loop.
- (sometimes proscribed) Unlocked or unlatched but not physically open.
- (computing, used before "code") Source code of a computer program that is not within the text of a macro being generated.
- (not comparable) Public.
- (not comparable) With open access, of open science, or both.
- Of a sandwich, etc.: composed of a single slice of bread with a topping.
- open to or in view of all
- openly straightforward and direct without reserve or secretiveness
- (set theory) of an interval that contains neither of its endpoints
- not sealed or having been unsealed
- open and observable; not secret or hidden
- not requiring union membership
- accessible to all
- without undue constriction as from e.g. tenseness or inhibition
- not having been filled
- not brought to a conclusion; subject to further thought
- ready for business
- affording free passage or access
- used of mouth or eyes
- (of textures) full of small openings or gaps
- not defended or capable of being defended
- affording free passage or view
- with no protection or shield
- possibly accepting or permitting
- ready or willing to receive favorably
- having no protecting cover or enclosure
- affording unobstructed entrance and exit; not shut or closed
noun
- (electronics) A defect in an electrical circuit preventing current from flowing.
- (in the definite) Open or unobstructed space; an exposed location.
- The act of something being opened, such as an e-mail message.
- (in the definite) Public knowledge or scrutiny; full view.
- A sports event in which anybody can compete, especially or originally irrespective of amateur or professional status.
- a clear or unobstructed space or expanse of land or water
- a tournament in which both professionals and amateurs may play
- information that has become public
- where the air is unconfined
verb
- (transitive, intransitive) To make or become operative or available.
- (transitive) To make an open relationship or marriage, i.e., with possible additional relationships.
- (transitive, intransitive) To spread; to expand into a wider or looser position.
- (transitive) To enter upon, begin.
- (intransitive, poker) To bet before any other player has in a particular betting round in a game of poker.
- (transitive, intransitive, poker) To reveal one's hand.
- (transitive, intransitive, engineering, gas and liquid flow, of valve or damper) To move to a position allowing fluid to flow.
- (transitive, nursing) To make (a bed) ready for a patient by folding back the bedcovers.
- (intransitive, with 'for') To precede another as a performer at a concert or show.
- (transitive) To bring up, broach.
- (computing, transitive, intransitive) To start running (a program or application, especially one with a screen-based interface).
- (transitive, intransitive) To make or become receptive or susceptible (to something).
- (computing, transitive, intransitive) To connect to a resource (a file, document, etc.) for viewing or editing.
- (transitive, intransitive) To unseal or uncover, or become unsealed or uncovered.
- (transitive, intransitive) To cause or allow a gap to form or widen.
- (Manglish, Quebec) To turn on; to switch on.
- (transitive, intransitive, electricity, of a switch, fuse or circuit breaker) To move to a position preventing electricity from flowing.
- (transitive, intransitive) To make or become accessible or clear for passage by moving from a shut position.
- (transitive, intransitive) To make or become clear by removal of objects and obstructions, so as to allow passage, access, or visibility.
- (transitive, intransitive) To make or become accessible to customers, clients or visitors.
- (especially sports, transitive, intransitive) To angle (a club, bat or other hitting implement) upwards and/or (for a right-hander) clockwise of straight.
- (intransitive, cricket) To begin a side's innings as one of the first two batsmen.
- (transitive or intransitive) To start (an event or activity) as the first performer or actor.
- (intransitive) Of an event, activity etc., to start or get underway.
- begin or set in action, of meetings, speeches, recitals, etc.
- start to operate or function or cause to start operating or functioning
- make the opening move
- become available
- make available
- display the contents of a file or start an application as on a computer
- cause to open or to become open
- become open
- spread out or open from a closed or folded state
- have an opening or passage or outlet
adj
- (mathematics, of a function) Having derivatives of all finite orders at all points within the function’s domain.
- (of muscles, medicine) Involuntary and non-striated.
- (of an action) Natural; unconstrained.
- Bland; glib.
- (mathematics, of a number) That factors completely into small prime numbers.
- Having a texture that lacks friction. Not rough.
- (of a motion) Unbroken.
- (linguistics, classical studies, of a vowel) Lacking marked aspiration.
- (of food or drink) Not grainy; having an even texture.
- (of an edge) Lacking projections or indentations; not serrated.
- Without difficulty, problems, or unexpected consequences or incidents.
- (of a beverage) Having a pleasantly rounded flavor; neither rough nor astringent.
- Flowing or uttered without check, obstruction, or hesitation; not harsh; fluent.
- Suave; sophisticated.
- (chiefly of water) Placid, calm.
- smooth and unconstrained in movement
- of the margin of a leaf shape; not broken up into teeth
- smoothly agreeable and courteous with a degree of sophistication
- lacking obstructions or difficulties
- (of a body of water) free from disturbance by heavy waves
- having a surface free from roughness or bumps or ridges or irregularities
- of motion that runs or flows or proceeds without jolts or turbulence
- (music) without breaks between notes; smooth and connected
adv
noun
verb
- (transitive) To make straightforward or easy.
- (transitive) To make smooth or even.
- (West Country) To stroke; especially to stroke an animal's fur.
- (transitive) To calm or palliate.
- (transitive) To reduce to a particular shape or form by pressure; to press, to flatten.
- (statistics, image processing, digital audio) To capture important patterns in the data, while leaving out noise.
- free from obstructions
- make smooth or smoother, as if by rubbing
- make (a surface) shine
adj
- (mathematics, more generally, of a function between two topological spaces) Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).
- Without intervening space; continued.
- (grammar) Expressing an ongoing action or state.
- (botany) Not deviating or varying from uniformity; not interrupted; not joined or articulated.
- Without stopping; without a break, cessation, or interruption.
- (mathematical analysis, of a function) Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D.
- of a function or curve; extending without break or irregularity
- continuing in time or space without interruption
noun
- A non-existent or empty value or set of values.
- (computing) The attribute of an entity that has no valid value.
- (computing) The null character; the ASCII or Unicode character (␀), represented by a zero value, which indicates no character and is sometimes used as a string terminator.
- One of the beads in nulled work.
- (statistics) The null hypothesis.
- Zero quantity of expressions; nothing.
- Something that has no force or meaning.
- a quantity of no importance; thing (object:), singular, negative pronoun; pronoun, thing, singular; quantifier: negative existential
adj
- (mathematics) Of the null set.
- Insignificant.
- (mechanical engineering, of a position or setting) Neutral.
- Having no validity; "null and void".
- (genetics, of a mutation) Causing a complete loss of gene function; amorphic.
- Absent or non-existent.
- (mathematics) Of or comprising a value of precisely zero.
- lacking any legal or binding force
verb
adj
- (mathematics, set theory) Of a countably infinite set, having a computable indicator function.
- (mathematics) of a number, able to be approximated to arbitrary precision by a computable function
- Capable of being computed, or enumerated.
- (computing theory) Of a problem, solvable by a Turing machine or any thereto Turing-equivalent model; Turing-computable.
- may be computed or estimated
adj
- (mathematics) Of a function: that is always nonincreasing or nondecreasing on an interval.
- (of speech or a sound) Having a single unvaried pitch.
- (printing) Synonym of monochrome.
- sounded or spoken in a tone unvarying in pitch
- of a sequence or function; consistently increasing and never decreasing or consistently decreasing and never increasing in value
noun
verb
adj
- (set theory) A type of set of natural numbers, related to mathematical logic; a set S is productive if there exists a total recursive function f such that ∀x∈ℕ,~~W_x⊆S⇒f(x)∈A⧵W_x, where W_x is a recursive function whose Gödel number is x.
- Yielding good or useful results; constructive.
- (medicine) Of inflammation, producing new tissue.
- Of, or relating to the creation of goods or services.
- Capable of producing something, especially in abundance; fertile.
- (linguistics, of an affix or word construction rule) Consistently applicable to any of an open set of words.
- (medicine) Of a cough, producing mucus or sputum from the respiratory tract.
- producing or capable of producing (especially abundantly)
- yielding positive results
- having the ability to produce or originate
- marked by great fruitfulness
adj
- (set theory) A type of set of natural numbers, related to mathematical logic.
- Tending to create things, or having the ability to create; often, excellently, in a novel fashion, or any or all of these.
- (euphemistic, of art) bad, unartistic, busy.
- Designed or executed to deceive or mislead.
- (of a created thing) Original, expressive and imaginative.
- promoting construction or creation
- having the ability or power to create
noun
adj
- (topology, of a set) Having an open complement.
- Not allowing entrance to visitors or the public.
- Not public.
- (mathematics, logic, of a formula) Lacking a free variable.
- (heraldry) Synonym of close.
- (phonology) Formed by closing the mouth and nose passages completely, like the consonants /t/, /d/, and /p/.
- Of a competition or tournament: with the competitors restricted to a specific group, such as professionals, amateurs, members or residents.
- (electricity, of a switch or circuit breaker) In a position allowing electricity to flow.
- (of a store or business) Not operating or conducting trade.
- Having one end joined to the other, forming a completed loop.
- Settled; decided or determined; withdrawn from consideration.
- (especially sports) Of a club, bat or other hitting implement; angled downwards and/or (for a right-hander) anticlockwise of straight.
- (phonology) Having the sound cut off sharply by a following consonant, like the /ɪ/ in pin.
- (geometry, of a curve) Lacking endpoints. For parametric curves, with the same image for the ends of the domain.
- (geometry, of a surface) Lacking a boundary.
- (graph theory, of a walk) Whose first and last vertices are the same, forming a closed loop.
- Sealed or covered.
- (mathematics, of a set) Such that its image under the specified operation is contained in it.
- Not available for use or operation.
- (computing, of a file, document, etc.) Not in current use; not connected to as a resource.
- Not receptive.
- Physically drawn together, folded or contracted.
- (of a multi-word compound) Having component words joined together without spaces or hyphens; for example, timeslot as opposed to time slot or time-slot.
- Made impassable.
- (engineering, gas and liquid flow, of valve or damper) In a position preventing fluid from flowing.
- requiring union membership
- (set theory) of an interval that contains both its endpoints
- not open
- with shutters closed
- not open to the general public
- used especially of mouth or eyes
- blocked against entry
- not open or affording passage or access
- not having an open mind