'(mathematical analysis) Any complex-valued measurable function whose range is finite.'에 대한 English 단어
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adj
- (mathematics, mathematical analysis, of a function) Whose range is a subset of the complex numbers.
- (mathematics, algebra) Whose coefficients are complex numbers; defined over the field of complex numbers.
- Made up of multiple parts; composite; not simple.
- (geometry) A curve, polygon or other figure that crosses or intersects itself.
- Not simple, easy, or straightforward; complicated.
- (mathematics, of a number) Having the form a + bi, where a and b are real numbers and i is (by definition) the imaginary square root of −1.
- difficult to analyze or understand
- complicated in structure; consisting of interconnected parts
noun
- (psychology) A group of emotionally charged ideas or mental factors, unconsciously associated by the individual with a particular subject, arising from repressed instincts, fears, or desires and often resulting in mental abnormality.
- (taxonomy) A group of closely related species, often distinguished only with difficulty by traditional morphological methods.
- (linguistics) A multimorphemic word, one with several parts, one with affixes.
- A collection of buildings with a common purpose, such as a university or military base.
- An organized cluster of thunderstorms.
- (chemistry) A structure consisting of a central atom or molecule weakly connected to surrounding atoms or molecules, as for example coordination compounds in inorganic chemistry and protein complexes in biochemistry.
- (mathematics) A complex number.
- A fixed mental tendency or obsession.
- A cluster of wildfires burning in the same vicinity.
- An assemblage of related things; a collection.
- A network of interconnected systems.
- a conceptual whole made up of complicated and related parts
- a compound described in terms of the central atom to which other atoms are bound or coordinated
- a whole structure (as a building) made up of interconnected or related structures
- (psychoanalysis) a combination of emotions and impulses that have been rejected from awareness but still influence a person's behavior
verb
noun
- (mathematics) A calculation of an estimate of the value of some function outside the range of known values.
- (mathematics) calculation of the value of a function outside the range of known values
- (music) The diametric opposite of interpolation.
- An inference about some hypothetical situation based on known facts.
- an inference about the future (or about some hypothetical situation) based on known facts and observations
noun
- (mathematics) The value or range of values of a function for which a derivative does not exist.
- (physics) Ellipsis of gravitational singularity (“a point or region in spacetime in which gravitational forces cause matter to have an infinite density; associated with black holes”).
- Celibacy, singleness (as contrasted with marriage).
- A point where a measured variable reaches unmeasurable or infinite value.
- The state of being singular, distinct, peculiar, uncommon or unusual.
- (sometimes capitalized) Ellipsis of technological singularity (“a hypothetical turning point in the future, the culmination of ever-accelerating technological progress, when human history as we have known it ends, and a strange new era begins. For some writers, the catalyst is superhuman machine intelligence”).
- An unusual action or behaviour.
- A point where all parallel lines meet.
- strangeness by virtue of being remarkable or unusual
- the quality of being one of a kind
noun
- (mathematics) Any of several abstractions of this concept of limit.
- The final, utmost, or furthest point; the border or edge.
- (colloquial, as "the limit") A person who is exasperating, intolerable, astounding, etc.
- (logic, metaphysics) A determining feature; a distinguishing characteristic.
- (cycling) The first group of riders to depart in a handicap race.
- A restriction; a bound beyond which one may not go.
- (music) Ellipsis of harmonic limit.
- (category theory) The cone of a diagram through which any other cone of that same diagram can factor uniquely.
- (mathematics) A value to which a sequence converges. Equivalently, the common value of the upper limit and the lower limit of a sequence: if the upper and lower limits are different, then the sequence has no limit (i.e., does not converge).
- (poker) Fixed limit.
- the boundary of a specific area
- the greatest possible degree of something
- final or latest limiting point
- the greatest amount of something that is possible or allowed
- as far as something can go
- the mathematical value toward which a function goes as the independent variable approaches infinity
verb
adj
adj
- (mathematics, of a category) In which all small limits exist.
- (algebra, of a lattice) In which every set with a lower bound has a greatest lower bound.
- (computing theory, of a problem) That is in a given complexity class and is such that every other problem in the class can be reduced to it (usually in polynomial time or logarithmic space).
- With all parts included; with nothing missing; full.
- (logic, of a proof system of a formal system with respect to a given semantics) In which every semantically valid well-formed formula is provable.
- Generic intensifier.
- Finished; ended; concluded; completed.
- (ring theory, of a local ring) Complete as a topological group with respect to its m-adic topology, where m is its unique maximal idea.
- (mathematical analysis, of a metric space or topological group) In which every Cauchy sequence converges to a point within the space.
- having every necessary or normal part or component or step
- highly skilled
- without qualification; used informally as (often pejorative) intensifiers
- having come or been brought to a conclusion
- perfect and complete in every respect; having all necessary qualities
noun
verb
- (transitive) To make whole or entire.
- (poker) To call from the small blind in an unraised pot.
- (ambitransitive) To finish; to make done; to reach the end.
- come or bring to a finish or an end
- write all the required information onto a form
- complete or carry out
- bring to a whole, with all the necessary parts or elements
- complete a pass
noun
- (mathematics) A form (expression) that does not use limits, implicitly or explicitly.
- (poetry) A type of poetry with regular structure, such as meter or a rhyming pattern.
- (poetry) Trobar clus.
- (mathematics) A differential form whose exterior derivative is zero.
- Used other than figuratively or idiomatically: see closed, form.
adj
- (mathematics, real analysis, measure theory, of a real-valued function) Equal to a finite linear combination of indicator functions on measurable sets.
- (module theory, of a module) Being non-trivial, and having no proper non-trivial submodules (equivalently, no proper non-trivial quotient modules).
- Uncomplicated; lacking complexity; taken by itself, with nothing added.
- Free from duplicity; guileless, innocent, straightforward.
- (botany) Not compound, but possibly lobed.
- Easy; not difficult.
- (now colloquial, euphemistic) Feeble-minded; foolish.
- (zoology) Consisting of a single individual or zooid; not compound.
- (algebra, of a Lie algebra) Being non-abelian and having no proper non-zero ideals. (Note that this is non-equivalent to the usual algebra sense; in particular, the abelian Lie algebra of dimension 1 over any given field is non-trivial and has no proper non-zero ideals, but is by convention not considered simple.)
- (mineralogy) Homogenous.
- (ring theory, of a ring) Being non-zero, and having no proper non-zero two-sided ideals (equivalently, no proper non-trivial quotient rings). For commutative rings, this definition coincides with that of a field.
- Without ornamentation; plain.
- (group theory, of a group) Being non-trivial, and having no proper non-trivial normal subgroups (equivalently, no proper non-trivial quotient groups).
- Undistinguished in social condition; of no special rank.
- (category theory, of an object in a category with a terminal object) Being non-isomorphic to the terminal object, and such that its only quotient objects (up to isomorphism) are the terminal object and itself.
- (chemistry, pharmacology) Consisting of one single substance; uncompounded.
- Using steam only once in its cylinders, in contrast to a compound engine, where steam is used more than once in high-pressure and low-pressure cylinders. (of a steam engine)
- (universal algebra, of an algebraic structure) Containing more than one element, and such that the only congruences on the structure are the diagonal relation (the equivalence relation a≡b⟺a=b) and the universal relation (the equivalence relation such that a≡b for all a,b). Equivalently, containing more than one element and having no proper non-trivial quotient algebras.
- exhibiting childlike simplicity and credulity
- (botany) of leaf shapes; of leaves having no divisions or subdivisions
- having few parts; not complex or complicated or involved
- apart from anything else; without additions or modifications
- easy and not involved or complicated
- lacking mental capacity and subtlety
- unornamented
noun
- (weaving) A drawloom.
- (logic) A simple or atomic proposition.
- (pharmacology) A herbal preparation made from one plant, as opposed to something made from more than one plant.
- (Roman Catholicism) A feast which is not a double or a semidouble.
- (weaving) Part of the apparatus for raising the heddles of a drawloom.
- a person lacking intelligence or common sense
- any herbaceous plant having medicinal properties
noun
- (mathematics) A definite portion of a manifoldness, limited by a mark or by a boundary.
- (physics) The smallest possible, and therefore indivisible, unit of a given quantity or quantifiable phenomenon.
- The amount or quantity observably present, or available.
- (law) The length or magnitude of the sentence handed down to someone who has been found guilty of a crime.
- (computing, uncountable) Ellipsis of quantum computing.
- (now chiefly South Asia or law) The total amount of something; quantity.
- (law) The amount of compensation awarded to a successful party in a lawsuit.
- (computing) The amount of time allocated for a thread to perform its work in a multithreaded environment.
- (medicine) The minimum dose of a pathogen required to cause an infection.
- a discrete amount of something that is analogous to the quantities in quantum theory
- (physics) the smallest discrete quantity of some physical property that a system can possess (according to quantum theory)
adj
noun
- (mathematics) A value which is known to be greater or smaller than a given set of values.
- A spring from one foot to the other in dancing.
- A sizeable jump, great leap.
- (often used in plural) A boundary, the border which one must cross in order to enter or leave a territory.
- the greatest possible degree of something
- a light, self-propelled movement upwards or forwards
- a line determining the limits of an area
- the line or plane indicating the limit or extent of something
adj
- Ready to start or go (to); moving in the direction (of).
- (mathematics, logic, of a variable) Constrained by a quantifier.
- Confined or restricted to a certain place.
- (with infinitive) Obliged (to).
- (linguistics, of a morpheme) That cannot stand alone as a free word.
- Unable to move in certain conditions.
- (with infinitive) Very likely (to), certain to
- bound by an oath
- confined in the bowels
- headed or intending to head in a certain direction; often used as a combining form as in ‘college-bound students’
- covered or wrapped with a bandage
- bound by contract
- (usually followed by ‘to’) governed by fate
- secured with a cover or binding; often used as a combining form
- confined by bonds
- held with another element, substance or material in chemical or physical union
verb
- (transitive) To surround a territory or other geographical entity; to form the boundary of.
- (transitive, mathematics) To be the bound of.
- simple past and past participle of bind
- (transitive) To cause to leap.
- (intransitive) To leap, move by jumping.
- move forward by leaps and bounds
- spring back; spring away from an impact
- place limits on (extent or amount or access)
- form the boundary of; be contiguous to
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
- (mathematics) A function, especially a function satisfying a certain property (e.g. continuity, linearity, etc.; see Usage notes).
- (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.
- a diagrammatic representation of the earth's surface (or part of it)
- (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)
verb
- (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.
- 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
noun
- (statistics, formally) A measurable function from a sample space to the measurable space of possible values of the variable.
- (statistics, loosely) A quantity whose value is random and to which a probability distribution is assigned, such as the possible outcome of a roll of a dice.
- a variable quantity that is random
noun
noun
- (mathematics) A function that takes a function as its argument; more precisely, a function whose argument varies in a space of (real or complex valued) functions and whose value belongs to a monodimensional space.
- (computing) An object encapsulating a function pointer (or equivalent).
- (mathematics, functional analysis) A scalar-valued linear function on a vector space.
adj
- Optimized for all-around physiological benefit.
- Useful; serving a purpose, fulfilling a function.
- (computing theory) Having semantics defined purely in terms of mathematical functions, without side-effects.
- (mathematics) Of or relating to a function or functions.
- Of or relating to one's role or office; official.
- Only for functional purposes, notably in architecture.
- In good working order.
- (physiology, psychology) Characterizing functioning in environment, being symptoms that do not presuppose alteration of organic structure.
- designed for or adapted to a function or use
- involving or affecting function rather than physiology
- (of e.g. a machine) performing or capable of performing
- relating to or based on function especially as opposed to structure
- designed for or capable of a particular function or use
- fit or ready for use or service
noun
- (mathematics) An infinitesimal interval of a quantity, a differential.
- One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.
- A factor, one of the conditions contributing to a result.
- (chemistry) A chemical substance made entirely of one such type of atom; any one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.
- (usually in the plural) A basic, simple substance out of which something is made, raw material.
- A place or state of being that a person or object is best suited to.
- (chemistry) Any one of the types of atom distinguished by having a certain number of protons in its nucleus.
- (set theory) One of the objects in a set.
- (in the plural only, with "the") Atmospheric forces such as strong winds and rains.
- A group of people within a larger group having a particular common characteristic.
- A small but present amount of a quality, a hint.
- (law) A required aspect or component of a cause of action. A deed is regarded as a violation of law only if each element can be proved.
- A component in electrical equipment, often in the form of a coil, having a high resistance, thereby generating heat when a current is passed through it.
- (astronomy) An orbital element; one of the parameters needed to uniquely specify a particular orbit.
- (computing) One of the conceptual objects in a markup language, usually represented in text by tags.
- One of the four basic building blocks of matter in theories of ancient philosophers and alchemists: water, earth, fire, and air.
- (mathematics) One of the entries of a matrix.
- (Christianity, usually in the plural) The bread and wine taken at Holy Communion.
- Any of the teeth of a zip fastener.
- A small part of the whole.
- (in the plural only) The basic principles of a field of knowledge, basics, fundamentals, rudiments.
- an abstract part of something
- one of four substances thought in ancient and medieval cosmology to constitute the physical universe
- a straight line that generates a cylinder or cone
- any of the more than 100 known substances (of which 92 occur naturally) that cannot be separated into simpler substances and that singly or in combination constitute all matter
- the situation in which you are happiest and most effective
- the most favorable environment for a plant or animal
- an artifact that is one of the individual parts of which a composite entity is made up; especially a part that can be separated from or attached to a system
adj
- (not comparable, mathematics) Assigning finite values to finite quantities.
- (not comparable, geometry) Of or pertaining to a function expressible as f(⃑x)=A⃑x+⃑b (where A is a linear transformation and ⃑b is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.
- (comparable, chemistry) Of two materials, having mutual affinity.
- (anthropology) related by marriage
- (mathematics) of or pertaining to the geometry of affine transformations
noun
verb
noun
- the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
- a hard lump produced by the concretion of mineral salts; found in hollow organs or ducts of the body
- an incrustation that forms on the teeth and gums
- (countable, mathematics) Any formal system in which symbolic expressions are manipulated according to fixed rules.
- (countable, medicine) A stony concretion that forms in a bodily organ.
- (uncountable, dentistry) Deposits of calcium phosphate salts on teeth.
- (uncountable, often definite, the calculus) Differential calculus and integral calculus considered as a single subject.
- (countable) A decision-making method, especially one appropriate for a specialised realm.
noun
- (specifically, complex analysis) A meromorphic function on the complex plane that is not a rational function.
- (mathematical analysis) Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials.
noun
- (mathematics) the set of values of the dependent variable for which a function is defined
- someone who closely resembles a famous person (especially an actor)
- a standard or typical example
- the general impression that something (a person or organization or product) presents to the public
- a visual representation (of an object or scene or person or abstraction) produced on a surface
- language used in a figurative or nonliteral sense
- an iconic mental representation
- a representation of a person (especially in the form of sculpture)
- (Jungian psychology) a personal facade that one presents to the world
- A statue or idol.
- A mental picture of something not real or not present.
- (computing) A file that contains all information needed to produce a live working copy. (See disk image and image copy.)
- (mathematics) The value a function maps some argument to.
- A file on a computer containing a single frame; an image file.
- A visual or other representation of the external form of something in art.
- (mathematics) The subset of the codomain of a function comprising those elements that are the image of some element of its domain.
- (radio) A form of interference: a weaker "copy" of a strong signal that occurs at a different frequency.
- A characteristic of a person, group or company etc., style, manner of dress, how one is or wishes to be perceived by others.
verb
noun
- (mathematics) the set of values of the dependent variable for which a function is defined
- the limit of capability
- a variety of different things or activities
- the limits within which something can be effective
- a large tract of grassy open land on which livestock can graze
- a kitchen appliance used for cooking food
- a place for shooting (firing or driving) projectiles of various kinds
- a series of hills or mountains
- an area in which something acts or operates or has power or control:
- The distance a vehicle (e.g., a car, bicycle, lorry, or aircraft) can travel without refueling.
- A line or series of mountains, buildings, etc.
- (US, historical) In the public land system, a row or line of townships lying between two succession meridian lines six miles apart.
- An area for practicing shooting at targets.
- (mathematics) The set of values (points) which a function can obtain.
- The maximum distance or reach of capability (of a weapon, radio, detector, etc.).
- (programming) A sequential list of values specified by an iterator.
- (sports, baseball) The defensive area that a player can cover.
- An area for military training or equipment testing.
- (statistics) The length of the smallest interval which contains all the data in a sample; the difference between the largest and smallest observations in the sample.
- An aggregate of individuals in one rank or degree; an order; a class.
- (ecology) The geographical area or zone where a species is normally naturally found.
- The distance from a person or sensor to an object, target, emanation, or event.
- (music) The scale of all the tones a voice or an instrument can produce.
- A fireplace; a fire or other cooking apparatus; now specifically, a large cooking stove with many burners (hotplates).
- The extent or space taken in by anything excursive; compass or extent of excursion; reach; scope.
- Selection, array.
- An area of open, often unfenced, grazing land.
- A wandering or roving; a going to and fro; an excursion; a ramble; an expedition.
- The variety of roles that an actor can play in a satisfactory way.
verb
- range or extend over; occupy a certain area
- feed as in a meadow or pasture
- lay out orderly or logically in a line or as if in a line
- let eat
- change or be different within limits
- move about aimlessly or without any destination, often in search of food or employment
- assign a rank or rating to
- have a range; be capable of projecting over a certain distance, as of a gun
- (transitive) To set in a row, or in rows; to place in a regular line or lines, or in ranks; to dispose in the proper order.
- (transitive) To place among others in a line, row, or order, as in the ranks of an army; usually, reflexively and figuratively, to espouse a cause, to join a party, etc.
- (transitive) To rove over or through.
- (biology) To be native to, or live in, a certain district or region.
- (military, of artillery) To determine the range to a target.
- (intransitive) To be placed in order; to be ranked; to admit of arrangement or classification; to rank.
- (intransitive) To form a line or a row.
- (transitive) To bring (something) into a specified position or relationship (especially, of opposition) with something else.
- (intransitive) To travel over (an area, etc); to roam, wander.
- (baseball) Of a player, to travel a significant distance for a defensive play.
- (intransitive) Of a variable, to be able to take any of the values in a specified range.
- (transitive) To classify.
- To sail or pass in a direction parallel to or near.
adj
- (mathematics) Consisting of or permitting only distinct values drawn from a finite, countable set.
- (audio engineering) Having separate and independent channels of audio, as opposed to multiplexed stereo or quadraphonic, or other multi-channel sound.
- Disjunctive; containing a disjunctive or discretive clause.
- (topology) Having each singleton subset open: said of a topological space or a topology.
- That can be perceived individually, not as connected to, or part of, something else.
- (electrical engineering) Having separate electronic components, such as individual diodes, transistors and resistors, as opposed to integrated circuitry.
- Separate; distinct; individual; non-continuous.
- constituting a separate entity or part
adj
verb
- (transitive) To conclude.
- (intransitive) To end, conclude, or cease; to come to an end.
- (intransitive) Of a mode of transport, to end its journey; or, of a railway line, to reach its terminus.
- (transitive) To end something, especially when left in an incomplete state.
- (intransitive) To issue or result.
- (transitive) To form an appropriate end on (a wire, cable, hose, pipe, etc), such as by applying a cable terminal or a hose ferrule.
- (transitive, euphemistic) To kill someone or something.
- (transitive) To set or be a limit or boundary to.
- (transitive) To end the employment contract of an employee; to fire, lay off.
- be the end of; be the last or concluding part of
- bring to an end or halt
- have an end, in a temporal, spatial, or quantitative sense; either spatial or metaphorical
- terminate the employment of; discharge from an office or position
adj
- (mathematics, of a function) having an infinite number of derivatives at a point (otherwise it is monogenic)
- (genetics) controlled by the interaction of more than one gene
- of or relating to an inheritable character that is controlled by several genes at once; of or related to or determined by polygenes
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
- of a function or curve; extending without break or irregularity
- continuing in time or space without interruption
- Without intervening space; continued.
- (grammar) Expressing an ongoing action or state.
- (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).
- (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.
noun
- (mathematics) A calculation of an estimate of the value of some function outside the range of known values.
- (mathematics) calculation of the value of a function outside the range of known values
- (music) The diametric opposite of interpolation.
- An inference about some hypothetical situation based on known facts.
- an inference about the future (or about some hypothetical situation) based on known facts and observations
noun
- (mathematics) The value or range of values of a function for which a derivative does not exist.
- (physics) Ellipsis of gravitational singularity (“a point or region in spacetime in which gravitational forces cause matter to have an infinite density; associated with black holes”).
- Celibacy, singleness (as contrasted with marriage).
- A point where a measured variable reaches unmeasurable or infinite value.
- The state of being singular, distinct, peculiar, uncommon or unusual.
- (sometimes capitalized) Ellipsis of technological singularity (“a hypothetical turning point in the future, the culmination of ever-accelerating technological progress, when human history as we have known it ends, and a strange new era begins. For some writers, the catalyst is superhuman machine intelligence”).
- An unusual action or behaviour.
- A point where all parallel lines meet.
- strangeness by virtue of being remarkable or unusual
- the quality of being one of a kind
noun
- (mathematics) Any of several abstractions of this concept of limit.
- The final, utmost, or furthest point; the border or edge.
- (colloquial, as "the limit") A person who is exasperating, intolerable, astounding, etc.
- (logic, metaphysics) A determining feature; a distinguishing characteristic.
- (cycling) The first group of riders to depart in a handicap race.
- A restriction; a bound beyond which one may not go.
- (music) Ellipsis of harmonic limit.
- (category theory) The cone of a diagram through which any other cone of that same diagram can factor uniquely.
- (mathematics) A value to which a sequence converges. Equivalently, the common value of the upper limit and the lower limit of a sequence: if the upper and lower limits are different, then the sequence has no limit (i.e., does not converge).
- (poker) Fixed limit.
- the boundary of a specific area
- the greatest possible degree of something
- final or latest limiting point
- the greatest amount of something that is possible or allowed
- as far as something can go
- the mathematical value toward which a function goes as the independent variable approaches infinity
verb
adj
noun
- (mathematics) A form (expression) that does not use limits, implicitly or explicitly.
- (poetry) A type of poetry with regular structure, such as meter or a rhyming pattern.
- (poetry) Trobar clus.
- (mathematics) A differential form whose exterior derivative is zero.
- Used other than figuratively or idiomatically: see closed, form.
noun
- (mathematics) A definite portion of a manifoldness, limited by a mark or by a boundary.
- (physics) The smallest possible, and therefore indivisible, unit of a given quantity or quantifiable phenomenon.
- The amount or quantity observably present, or available.
- (law) The length or magnitude of the sentence handed down to someone who has been found guilty of a crime.
- (computing, uncountable) Ellipsis of quantum computing.
- (now chiefly South Asia or law) The total amount of something; quantity.
- (law) The amount of compensation awarded to a successful party in a lawsuit.
- (computing) The amount of time allocated for a thread to perform its work in a multithreaded environment.
- (medicine) The minimum dose of a pathogen required to cause an infection.
- a discrete amount of something that is analogous to the quantities in quantum theory
- (physics) the smallest discrete quantity of some physical property that a system can possess (according to quantum theory)
adj
noun
- (mathematics) A value which is known to be greater or smaller than a given set of values.
- A spring from one foot to the other in dancing.
- A sizeable jump, great leap.
- (often used in plural) A boundary, the border which one must cross in order to enter or leave a territory.
- the greatest possible degree of something
- a light, self-propelled movement upwards or forwards
- a line determining the limits of an area
- the line or plane indicating the limit or extent of something
adj
- Ready to start or go (to); moving in the direction (of).
- (mathematics, logic, of a variable) Constrained by a quantifier.
- Confined or restricted to a certain place.
- (with infinitive) Obliged (to).
- (linguistics, of a morpheme) That cannot stand alone as a free word.
- Unable to move in certain conditions.
- (with infinitive) Very likely (to), certain to
- bound by an oath
- confined in the bowels
- headed or intending to head in a certain direction; often used as a combining form as in ‘college-bound students’
- covered or wrapped with a bandage
- bound by contract
- (usually followed by ‘to’) governed by fate
- secured with a cover or binding; often used as a combining form
- confined by bonds
- held with another element, substance or material in chemical or physical union
verb
- (transitive) To surround a territory or other geographical entity; to form the boundary of.
- (transitive, mathematics) To be the bound of.
- simple past and past participle of bind
- (transitive) To cause to leap.
- (intransitive) To leap, move by jumping.
- move forward by leaps and bounds
- spring back; spring away from an impact
- place limits on (extent or amount or access)
- form the boundary of; be contiguous to
noun
- (mathematics) A function, especially a function satisfying a certain property (e.g. continuity, linearity, etc.; see Usage notes).
- (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.
- a diagrammatic representation of the earth's surface (or part of it)
- (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)
verb
- (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.
- 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
noun
- (statistics, formally) A measurable function from a sample space to the measurable space of possible values of the variable.
- (statistics, loosely) A quantity whose value is random and to which a probability distribution is assigned, such as the possible outcome of a roll of a dice.
- a variable quantity that is random
noun
noun
- (mathematics) A function that takes a function as its argument; more precisely, a function whose argument varies in a space of (real or complex valued) functions and whose value belongs to a monodimensional space.
- (computing) An object encapsulating a function pointer (or equivalent).
- (mathematics, functional analysis) A scalar-valued linear function on a vector space.
adj
- Optimized for all-around physiological benefit.
- Useful; serving a purpose, fulfilling a function.
- (computing theory) Having semantics defined purely in terms of mathematical functions, without side-effects.
- (mathematics) Of or relating to a function or functions.
- Of or relating to one's role or office; official.
- Only for functional purposes, notably in architecture.
- In good working order.
- (physiology, psychology) Characterizing functioning in environment, being symptoms that do not presuppose alteration of organic structure.
- designed for or adapted to a function or use
- involving or affecting function rather than physiology
- (of e.g. a machine) performing or capable of performing
- relating to or based on function especially as opposed to structure
- designed for or capable of a particular function or use
- fit or ready for use or service
noun
- (mathematics) An infinitesimal interval of a quantity, a differential.
- One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.
- A factor, one of the conditions contributing to a result.
- (chemistry) A chemical substance made entirely of one such type of atom; any one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.
- (usually in the plural) A basic, simple substance out of which something is made, raw material.
- A place or state of being that a person or object is best suited to.
- (chemistry) Any one of the types of atom distinguished by having a certain number of protons in its nucleus.
- (set theory) One of the objects in a set.
- (in the plural only, with "the") Atmospheric forces such as strong winds and rains.
- A group of people within a larger group having a particular common characteristic.
- A small but present amount of a quality, a hint.
- (law) A required aspect or component of a cause of action. A deed is regarded as a violation of law only if each element can be proved.
- A component in electrical equipment, often in the form of a coil, having a high resistance, thereby generating heat when a current is passed through it.
- (astronomy) An orbital element; one of the parameters needed to uniquely specify a particular orbit.
- (computing) One of the conceptual objects in a markup language, usually represented in text by tags.
- One of the four basic building blocks of matter in theories of ancient philosophers and alchemists: water, earth, fire, and air.
- (mathematics) One of the entries of a matrix.
- (Christianity, usually in the plural) The bread and wine taken at Holy Communion.
- Any of the teeth of a zip fastener.
- A small part of the whole.
- (in the plural only) The basic principles of a field of knowledge, basics, fundamentals, rudiments.
- an abstract part of something
- one of four substances thought in ancient and medieval cosmology to constitute the physical universe
- a straight line that generates a cylinder or cone
- any of the more than 100 known substances (of which 92 occur naturally) that cannot be separated into simpler substances and that singly or in combination constitute all matter
- the situation in which you are happiest and most effective
- the most favorable environment for a plant or animal
- an artifact that is one of the individual parts of which a composite entity is made up; especially a part that can be separated from or attached to a system
noun
- the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
- a hard lump produced by the concretion of mineral salts; found in hollow organs or ducts of the body
- an incrustation that forms on the teeth and gums
- (countable, mathematics) Any formal system in which symbolic expressions are manipulated according to fixed rules.
- (countable, medicine) A stony concretion that forms in a bodily organ.
- (uncountable, dentistry) Deposits of calcium phosphate salts on teeth.
- (uncountable, often definite, the calculus) Differential calculus and integral calculus considered as a single subject.
- (countable) A decision-making method, especially one appropriate for a specialised realm.
noun
- (specifically, complex analysis) A meromorphic function on the complex plane that is not a rational function.
- (mathematical analysis) Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials.
noun
- (mathematics) the set of values of the dependent variable for which a function is defined
- someone who closely resembles a famous person (especially an actor)
- a standard or typical example
- the general impression that something (a person or organization or product) presents to the public
- a visual representation (of an object or scene or person or abstraction) produced on a surface
- language used in a figurative or nonliteral sense
- an iconic mental representation
- a representation of a person (especially in the form of sculpture)
- (Jungian psychology) a personal facade that one presents to the world
- A statue or idol.
- A mental picture of something not real or not present.
- (computing) A file that contains all information needed to produce a live working copy. (See disk image and image copy.)
- (mathematics) The value a function maps some argument to.
- A file on a computer containing a single frame; an image file.
- A visual or other representation of the external form of something in art.
- (mathematics) The subset of the codomain of a function comprising those elements that are the image of some element of its domain.
- (radio) A form of interference: a weaker "copy" of a strong signal that occurs at a different frequency.
- A characteristic of a person, group or company etc., style, manner of dress, how one is or wishes to be perceived by others.
verb
noun
- (mathematics) the set of values of the dependent variable for which a function is defined
- the limit of capability
- a variety of different things or activities
- the limits within which something can be effective
- a large tract of grassy open land on which livestock can graze
- a kitchen appliance used for cooking food
- a place for shooting (firing or driving) projectiles of various kinds
- a series of hills or mountains
- an area in which something acts or operates or has power or control:
- The distance a vehicle (e.g., a car, bicycle, lorry, or aircraft) can travel without refueling.
- A line or series of mountains, buildings, etc.
- (US, historical) In the public land system, a row or line of townships lying between two succession meridian lines six miles apart.
- An area for practicing shooting at targets.
- (mathematics) The set of values (points) which a function can obtain.
- The maximum distance or reach of capability (of a weapon, radio, detector, etc.).
- (programming) A sequential list of values specified by an iterator.
- (sports, baseball) The defensive area that a player can cover.
- An area for military training or equipment testing.
- (statistics) The length of the smallest interval which contains all the data in a sample; the difference between the largest and smallest observations in the sample.
- An aggregate of individuals in one rank or degree; an order; a class.
- (ecology) The geographical area or zone where a species is normally naturally found.
- The distance from a person or sensor to an object, target, emanation, or event.
- (music) The scale of all the tones a voice or an instrument can produce.
- A fireplace; a fire or other cooking apparatus; now specifically, a large cooking stove with many burners (hotplates).
- The extent or space taken in by anything excursive; compass or extent of excursion; reach; scope.
- Selection, array.
- An area of open, often unfenced, grazing land.
- A wandering or roving; a going to and fro; an excursion; a ramble; an expedition.
- The variety of roles that an actor can play in a satisfactory way.
verb
- range or extend over; occupy a certain area
- feed as in a meadow or pasture
- lay out orderly or logically in a line or as if in a line
- let eat
- change or be different within limits
- move about aimlessly or without any destination, often in search of food or employment
- assign a rank or rating to
- have a range; be capable of projecting over a certain distance, as of a gun
- (transitive) To set in a row, or in rows; to place in a regular line or lines, or in ranks; to dispose in the proper order.
- (transitive) To place among others in a line, row, or order, as in the ranks of an army; usually, reflexively and figuratively, to espouse a cause, to join a party, etc.
- (transitive) To rove over or through.
- (biology) To be native to, or live in, a certain district or region.
- (military, of artillery) To determine the range to a target.
- (intransitive) To be placed in order; to be ranked; to admit of arrangement or classification; to rank.
- (intransitive) To form a line or a row.
- (transitive) To bring (something) into a specified position or relationship (especially, of opposition) with something else.
- (intransitive) To travel over (an area, etc); to roam, wander.
- (baseball) Of a player, to travel a significant distance for a defensive play.
- (intransitive) Of a variable, to be able to take any of the values in a specified range.
- (transitive) To classify.
- To sail or pass in a direction parallel to or near.
noun
- (mathematics) Any of several abstractions of this concept of limit.
- The final, utmost, or furthest point; the border or edge.
- (colloquial, as "the limit") A person who is exasperating, intolerable, astounding, etc.
- (logic, metaphysics) A determining feature; a distinguishing characteristic.
- (cycling) The first group of riders to depart in a handicap race.
- A restriction; a bound beyond which one may not go.
- (music) Ellipsis of harmonic limit.
- (category theory) The cone of a diagram through which any other cone of that same diagram can factor uniquely.
- (mathematics) A value to which a sequence converges. Equivalently, the common value of the upper limit and the lower limit of a sequence: if the upper and lower limits are different, then the sequence has no limit (i.e., does not converge).
- (poker) Fixed limit.
- the boundary of a specific area
- the greatest possible degree of something
- final or latest limiting point
- the greatest amount of something that is possible or allowed
- as far as something can go
- the mathematical value toward which a function goes as the independent variable approaches infinity
verb
adj
일치하는 단어를 찾지 못했습니다. 더 넓은 설명을 시도해 보세요.
adj
- (mathematics, mathematical analysis, of a function) Whose range is a subset of the complex numbers.
- (mathematics, algebra) Whose coefficients are complex numbers; defined over the field of complex numbers.
- Made up of multiple parts; composite; not simple.
- (geometry) A curve, polygon or other figure that crosses or intersects itself.
- Not simple, easy, or straightforward; complicated.
- (mathematics, of a number) Having the form a + bi, where a and b are real numbers and i is (by definition) the imaginary square root of −1.
- difficult to analyze or understand
- complicated in structure; consisting of interconnected parts
noun
- (psychology) A group of emotionally charged ideas or mental factors, unconsciously associated by the individual with a particular subject, arising from repressed instincts, fears, or desires and often resulting in mental abnormality.
- (taxonomy) A group of closely related species, often distinguished only with difficulty by traditional morphological methods.
- (linguistics) A multimorphemic word, one with several parts, one with affixes.
- A collection of buildings with a common purpose, such as a university or military base.
- An organized cluster of thunderstorms.
- (chemistry) A structure consisting of a central atom or molecule weakly connected to surrounding atoms or molecules, as for example coordination compounds in inorganic chemistry and protein complexes in biochemistry.
- (mathematics) A complex number.
- A fixed mental tendency or obsession.
- A cluster of wildfires burning in the same vicinity.
- An assemblage of related things; a collection.
- A network of interconnected systems.
- a conceptual whole made up of complicated and related parts
- a compound described in terms of the central atom to which other atoms are bound or coordinated
- a whole structure (as a building) made up of interconnected or related structures
- (psychoanalysis) a combination of emotions and impulses that have been rejected from awareness but still influence a person's behavior
verb
adj
- (mathematics, of a category) In which all small limits exist.
- (algebra, of a lattice) In which every set with a lower bound has a greatest lower bound.
- (computing theory, of a problem) That is in a given complexity class and is such that every other problem in the class can be reduced to it (usually in polynomial time or logarithmic space).
- With all parts included; with nothing missing; full.
- (logic, of a proof system of a formal system with respect to a given semantics) In which every semantically valid well-formed formula is provable.
- Generic intensifier.
- Finished; ended; concluded; completed.
- (ring theory, of a local ring) Complete as a topological group with respect to its m-adic topology, where m is its unique maximal idea.
- (mathematical analysis, of a metric space or topological group) In which every Cauchy sequence converges to a point within the space.
- having every necessary or normal part or component or step
- highly skilled
- without qualification; used informally as (often pejorative) intensifiers
- having come or been brought to a conclusion
- perfect and complete in every respect; having all necessary qualities
noun
verb
- (transitive) To make whole or entire.
- (poker) To call from the small blind in an unraised pot.
- (ambitransitive) To finish; to make done; to reach the end.
- come or bring to a finish or an end
- write all the required information onto a form
- complete or carry out
- bring to a whole, with all the necessary parts or elements
- complete a pass
adj
- (mathematics, real analysis, measure theory, of a real-valued function) Equal to a finite linear combination of indicator functions on measurable sets.
- (module theory, of a module) Being non-trivial, and having no proper non-trivial submodules (equivalently, no proper non-trivial quotient modules).
- Uncomplicated; lacking complexity; taken by itself, with nothing added.
- Free from duplicity; guileless, innocent, straightforward.
- (botany) Not compound, but possibly lobed.
- Easy; not difficult.
- (now colloquial, euphemistic) Feeble-minded; foolish.
- (zoology) Consisting of a single individual or zooid; not compound.
- (algebra, of a Lie algebra) Being non-abelian and having no proper non-zero ideals. (Note that this is non-equivalent to the usual algebra sense; in particular, the abelian Lie algebra of dimension 1 over any given field is non-trivial and has no proper non-zero ideals, but is by convention not considered simple.)
- (mineralogy) Homogenous.
- (ring theory, of a ring) Being non-zero, and having no proper non-zero two-sided ideals (equivalently, no proper non-trivial quotient rings). For commutative rings, this definition coincides with that of a field.
- Without ornamentation; plain.
- (group theory, of a group) Being non-trivial, and having no proper non-trivial normal subgroups (equivalently, no proper non-trivial quotient groups).
- Undistinguished in social condition; of no special rank.
- (category theory, of an object in a category with a terminal object) Being non-isomorphic to the terminal object, and such that its only quotient objects (up to isomorphism) are the terminal object and itself.
- (chemistry, pharmacology) Consisting of one single substance; uncompounded.
- Using steam only once in its cylinders, in contrast to a compound engine, where steam is used more than once in high-pressure and low-pressure cylinders. (of a steam engine)
- (universal algebra, of an algebraic structure) Containing more than one element, and such that the only congruences on the structure are the diagonal relation (the equivalence relation a≡b⟺a=b) and the universal relation (the equivalence relation such that a≡b for all a,b). Equivalently, containing more than one element and having no proper non-trivial quotient algebras.
- exhibiting childlike simplicity and credulity
- (botany) of leaf shapes; of leaves having no divisions or subdivisions
- having few parts; not complex or complicated or involved
- apart from anything else; without additions or modifications
- easy and not involved or complicated
- lacking mental capacity and subtlety
- unornamented
noun
- (weaving) A drawloom.
- (logic) A simple or atomic proposition.
- (pharmacology) A herbal preparation made from one plant, as opposed to something made from more than one plant.
- (Roman Catholicism) A feast which is not a double or a semidouble.
- (weaving) Part of the apparatus for raising the heddles of a drawloom.
- a person lacking intelligence or common sense
- any herbaceous plant having medicinal properties
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
- (not comparable, mathematics) Assigning finite values to finite quantities.
- (not comparable, geometry) Of or pertaining to a function expressible as f(⃑x)=A⃑x+⃑b (where A is a linear transformation and ⃑b is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.
- (comparable, chemistry) Of two materials, having mutual affinity.
- (anthropology) related by marriage
- (mathematics) of or pertaining to the geometry of affine transformations
noun
verb
adj
- (mathematics) Consisting of or permitting only distinct values drawn from a finite, countable set.
- (audio engineering) Having separate and independent channels of audio, as opposed to multiplexed stereo or quadraphonic, or other multi-channel sound.
- Disjunctive; containing a disjunctive or discretive clause.
- (topology) Having each singleton subset open: said of a topological space or a topology.
- That can be perceived individually, not as connected to, or part of, something else.
- (electrical engineering) Having separate electronic components, such as individual diodes, transistors and resistors, as opposed to integrated circuitry.
- Separate; distinct; individual; non-continuous.
- constituting a separate entity or part
adj
verb
- (transitive) To conclude.
- (intransitive) To end, conclude, or cease; to come to an end.
- (intransitive) Of a mode of transport, to end its journey; or, of a railway line, to reach its terminus.
- (transitive) To end something, especially when left in an incomplete state.
- (intransitive) To issue or result.
- (transitive) To form an appropriate end on (a wire, cable, hose, pipe, etc), such as by applying a cable terminal or a hose ferrule.
- (transitive, euphemistic) To kill someone or something.
- (transitive) To set or be a limit or boundary to.
- (transitive) To end the employment contract of an employee; to fire, lay off.
- be the end of; be the last or concluding part of
- bring to an end or halt
- have an end, in a temporal, spatial, or quantitative sense; either spatial or metaphorical
- terminate the employment of; discharge from an office or position
adj
- (mathematics, of a function) having an infinite number of derivatives at a point (otherwise it is monogenic)
- (genetics) controlled by the interaction of more than one gene
- of or relating to an inheritable character that is controlled by several genes at once; of or related to or determined by polygenes
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
- of a function or curve; extending without break or irregularity
- continuing in time or space without interruption
- Without intervening space; continued.
- (grammar) Expressing an ongoing action or state.
- (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).
- (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.