domain
locus
range
convex set
epigraph
point function
identity
inverse image
mathematical space
discrete topology
algebraic structure
direct product
total
centroid
fixed point
set-builder notation
represent
Herbrand universe
interior
map
Cartesian plane
universal set
graph
holonomic constraint
topological space
quotient set
structure
cofinite topology
phase space
state
set theory
space
smooth
mapping
boundary
isochron
tacit programming
neighborhood
empty function
Hilbert space
base
directed
translate
special function
multialgebra
preimage
nonvanishing
universe of discourse
field axiom
deductive closure
partition of unity
Grothendieck universe
computable
integral function
single-valued function
function
mathematical function
antiset
postcritical
addressability
decidable
complex function
interval
combinatorics
Cartesian product
geon
functionomic
hyperconnection
Kolmogorov
strictly
Walsh function
underlying set
plethysm
mathematical structure
point cloud
Alexandrov topology
support
connection
Kakeya set
quadral
quasinorm
trivial topology
ball
pointy
conjugate
equivalence class
limit superior
scalar field
discrete set
axiom of union
multirepresentation
total
fixed point
smooth
directed
nonvanishing
computable
postcritical
decidable
functionomic
Kolmogorov
conjugate
strictly
domain
locus
range
convex set
epigraph
point function
identity
inverse image
mathematical space
discrete topology
algebraic structure
direct product
centroid
set-builder notation
Herbrand universe
interior
Cartesian plane
universal set
graph
holonomic constraint
topological space
quotient set
structure
cofinite topology
phase space
state
set theory
space
mapping
boundary
isochron
tacit programming
neighborhood
empty function
Hilbert space
base
translate
special function
multialgebra
preimage
universe of discourse
field axiom
deductive closure
partition of unity
Grothendieck universe
map
integral function
single-valued function
function
mathematical function
antiset
addressability
complex function
interval
combinatorics
Cartesian product
geon
hyperconnection
Walsh function
underlying set
plethysm
mathematical structure
point cloud
Alexandrov topology
support
connection
Kakeya set
quadral
quasinorm
trivial topology
ball
pointy
equivalence class
limit superior
scalar field
discrete set
axiom of union
multirepresentation
represent
map
noun
- The set of all possible mathematical entities (points) where a given function is defined.
- A ring with no zero divisors; that is, in which no product of nonzero elements is zero.
- The highest rank in the classification of organisms, above kingdom; in the three-domain system, one of the taxa Bacteria, Archaea, or Eukaryota.
- A geographic area owned or controlled by a single person or organization.
- A collection of DNS or DNS-like domain names consisting of a delegated domain name and all its subdomains.
- The set of input (argument) values for which a function is defined.
- The collection of computers identified by a domain's domain names.
- 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.
- A folded section of a protein molecule that has a discrete function; the equivalent section of a chromosome
- A small region of a magnetic material with a consistent magnetization direction.
- A group of related items, topics, or subjects.
- An open and connected set in some topology. For example, the interval (0,1) as a subset of the real numbers.
- Such a region used as a data storage element in a bubble memory.
- A form of technical metadata that represent the type of a data item, its characteristics, name, and usage.
- A field or sphere of activity, influence or expertise.
- Any DNS domain name, particularly one which has been delegated and has become representative of the delegated domain name and its subdomains.
noun
- The set of all points whose coordinates satisfy a given equation or condition.
- A place or locality, especially a centre of activity or the scene of a crime.
- A fixed position on a chromosome that may be occupied by one or more genes.
- A passage in writing, especially in a collection of ancient sacred writings arranged according to a theme.
noun
- The set of values (points) which a function can obtain.
- A fireplace; a fire or other cooking apparatus; now specifically, a large cooking stove with many hotplates.
- An area for practicing shooting at targets.
- The extent or space taken in by anything excursive; compass or extent of excursion; reach; scope.
- An area of open, often unfenced, grazing land.
- The scale of all the tones a voice or an instrument can produce.
- The distance from a person or sensor to an object, target, emanation, or event.
- 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.
- The geographical area or zone where a species is normally naturally found.
- A sequential list of values specified by an iterator.
- The maximum distance or reach of capability (of a weapon, radio, detector, etc.).
- An area for military training or equipment testing.
- A wandering or roving; a going to and fro; an excursion; a ramble; an expedition.
- A line or series of mountains, buildings, etc.
- In the public land system, a row or line of townships lying between two succession meridian lines six miles apart.
- The distance a vehicle (e.g., a car, bicycle, lorry, or aircraft) can travel without refueling.
- Selection, array.
- The defensive area that a player can cover.
- An aggregate of individuals in one rank or degree; an order; a class.
- The variety of roles that an actor can play in a satisfactory way.
verb
- To bring (something) into a specified position or relationship (especially, of opposition) with something else.
- To classify.
- Of a variable, to be able to take any of the values in a specified range.
- To be native to, or live in, a certain district or region.
- To form a line or a row.
- 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.
- To sail or pass in a direction parallel to or near.
- Of a player, to travel a significant distance for a defensive play.
- To rove over or through.
- To determine the range to a target.
- To travel over (an area, etc); to roam, wander.
- 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.
- To be placed in order; to be ranked; to admit of arrangement or classification; to rank.
noun
- Any function which maps all elements of its domain to themselves.
- An element of an algebraic structure which, when applied to another element under an operation in that structure, yields this second element.
- A well-known or famous person.
- A name or persona—a mask or appearance one presents to the world—by which one is known.
- The difference or character that marks off an individual or collective from the rest of the same kind; selfhood; the sense of who something or someone or oneself is, or the recurring characteristics that enable the recognition of such an individual or group by others or themself.
- An equation which always holds true regardless of the choice of input variables.
- Sameness, identicalness; the quality or fact of (several specified things) being the same.
noun
- 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.
- Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra;
noun
- The set of all possible tuples whose elements are elements of given, separately specified, sets.
- Such a set of tuples formed from two or more groups, forming another group whose group operation is the component-wise application of the original group operations and of which the original groups are normal subgroups.
- Such a set of tuples formed from two or more rings, forming another ring whose operations arise from the component-wise application of the corresponding original ring operations.
- A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
- A high-level generalization of the preceding that applies to objects in an arbitrary category and produces a new object constructable by morphisms from each of the original objects.
- Any of a number of mathematical objects analogously derived from a given ordered set of objects.
noun
- the point whose (Cartesian) coordinates are the arithmetic mean of the coordinates of a given finite set of points.
- The point of intersection of the three medians of a given triangle; the point whose (Cartesian) coordinates are the arithmetic mean of the coordinates of the three vertices.
- the arithmetic mean (alternatively, median) position of a cluster of points in a coordinate system based on some application-dependent measure of distance.
- The point at which gravitational force (or other universally and uniformly acting force) may be supposed to act on a given rigid, uniformly dense body; the centre of gravity or centre of mass.
- An analogue of the centre of gravity of a nonuniform body in which local density is replaced by a specified function (which can take negative values) and the place of the body's shape is taken by the function's domain.
- Given a tree of n nodes, either (1) a unique node whose removal would split the tree into subtrees of fewer than n/2 nodes, or (2) either of a pair of adjacent nodes such that removal of the edge connecting them would split the tree into two subtrees of exactly n/2 nodes.
verb
- to establish a mapping (of mathematical elements or sets)
- take the place of or be parallel or equivalent to
- express indirectly by an image, form, or model; be a symbol
- be representative or typical for
- be a delegate or spokesperson for; represent somebody's interest or be a proxy or substitute for, as of politicians and office holders representing their constituents, or of a tenant representing other tenants in a housing dispute
- serve as a means of expressing something
- be typical of
- form or compose
- be the defense counsel for someone in a trial
- create an image or likeness of
- play a role or part
- perform (a play), especially on a stage
- describe or present, usually with respect to a particular quality
- point out or draw attention to in protest or remonstrance
- bring forward and present to the mind
verb
- to establish a mapping (of mathematical elements or sets)
- make a map of; show or establish the features of details of
- explore or survey for the purpose of making a map
- locate within a specific region of a chromosome in relation to known DNA or gene sequences
- plan, delineate, or arrange in detail
- depict as if on a map
noun
noun
- A set of points constituting a graphical representation of a real function; (formally) a set of tuples (x_1,x_2,…,x_m,y)∈ R ᵐ⁺¹, where y=f(x_1,x_2,…,x_m) for a given function f: R ᵐ→ R . See also Graph of a function on Wikipedia.Wikipedia
- A topological space which represents some graph (ordered pair of sets) and which is constructed by representing the vertices as points and the edges as copies of the real interval [0,1] (where, for any given edge, 0 and 1 are identified with the points representing the two vertices) and equipping the result with a particular topology called the graph topology.
- A set of vertices (or nodes) connected together by edges; (formally) an ordered pair of sets (V,E), where the elements of V are called vertices or nodes and E is a set of pairs (called edges) of elements of V. See also Graph (discrete mathematics) on Wikipedia.Wikipedia
- A graphical unit on the token-level, the abstracted fundamental shape of a character or letter as distinct from its ductus (realization in a particular typeface or handwriting on the instance-level) and as distinct by a grapheme on the type-level by not fundamentally distinguishing meaning.
- A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set, whose elements are indexed to those of the former set(s) and may or may not be numbers.
- A morphism 𝛤_f from the domain of f to the product of the domain and codomain of f, such that the first projection applied to 𝛤_f equals the identity of the domain, and the second projection applied to 𝛤_f is equal to f.
verb
noun
- A set along with a collection of finitary functions and relations.
- The overall form or organization of something.
- The underlying shape of a solid.
- Underwater terrain or objects (such as a dead tree or a submerged car) that tend to attract fish
- A body, such as a political party, with a cohesive purpose or outlook.
- A cohesive whole built up of distinct parts.
- Several pieces of data treated as a unit.
- A set of rules defining behaviour.
verb
noun
- The set of all parameters relevant to a computation.
- The values of all parameters at some point in a computation.
- A complete description of a system, consisting of parameters that determine all properties of the system.
- Pomp, ceremony, or dignity.
- Condition of prosperity or grandeur; wealthy or prosperous circumstances; social importance.
- Any sovereign polity; a national or city-state government.
- A chair with a canopy above it, often standing on a dais; a seat of dignity; also, the canopy itself.
- A political division of a federation retaining a notable degree of autonomy, as in the United States, Mexico, Nigeria, or India.
- A society larger than a tribe. A society large enough to form a state in the sense of a government.
- The lexical aspect (aktionsart) of verbs or predicates that do not change over time.
- Rank; condition; quality.
- A mess; disorder.
- The stable condition of a processor during a particular clock cycle.
- The physical property of matter as solid, liquid, gas or plasma.
- A condition; a set of circumstances applying at any given time.
- An element of the range of the random variables that define a random process.
verb
noun
- A set of points, each of which is uniquely specified by a number (the dimensionality) of coordinates.
- A (chiefly empty) area or volume with set limits or boundaries.
- Physical extent across two or three dimensions (sometimes for or to do something).
- A field, area, or sphere of activity or endeavour.
- A gap; an empty place.
- A piece of metal type used to separate words, cast lower than other type so as not to take ink, especially one that is narrower than one en (compare quad).
- An undefined period of time (without qualifier, especially a short period); a while.
- The physical and psychological area one needs within which to live or operate; personal freedom.
- Distance between things.
- A generalized construct or set whose members have some property in common; typically there will be a geometric metaphor allowing these members to be viewed as "points". Often used with a restricting modifier describing the members (e.g. vector space), or indicating the inventor of the construct (e.g. Hilbert space).
- The near-vacuum in which planets, stars and other celestial objects are situated; the universe beyond the earth's atmosphere.
- A specific (specified) period of time.
- A position on the staff or stave bounded by lines.
- Physical extent in all directions, seen as an attribute of the universe (now usually considered as a part of space-time), or a mathematical model of this.
- A gap in text between words, lines etc., or a digital character used to create such a gap.
- Anything analogous to a physical space in which one can interact, such as an online chat room.
verb
adj
- Having derivatives of all finite orders at all points within the function’s domain.
- Flowing or uttered without check, obstruction, or hesitation; not harsh; fluent.
- Natural; unconstrained.
- Not grainy; having an even texture.
- Without difficulty, problems, or unexpected consequences or incidents.
- Involuntary and non-striated.
- That factors completely into small prime numbers.
- Having a texture that lacks friction. Not rough.
- Unbroken.
- Lacking marked aspiration.
- Lacking projections or indentations; not serrated.
- Placid, calm.
- Having a pleasantly rounded flavor; neither rough nor astringent.
- Suave; sophisticated.
- Bland; glib.
adv
noun
- The analysis obtained through a smoothing procedure.
- Something that is smooth, or that goes smoothly and easily.
- A domestic animal having a smooth coat.
- A member of an anti-hippie fashion movement in 1970s Britain.
- A smoothing action.
verb
noun
- A function that maps every element of a given mathematical structure (eg: a set) to a unique element of another structure; a correspondence.
- The process of locating genes on a chromosome.
- conversion of data types between incompatible type systems.
- Assigning a PC to a shared drive or printer port on a network.
- The process of making maps.
noun
- (of a set) The set of points in the closure of a set S, not belonging to the interior of that set.
- An edge or line marking an edge of the playing field.
- The bounds, confines, or limits between immaterial things (such as one’s comfort zone, privacy, or professional sphere and the realm beyond).
- The dividing line or location between two areas.
- An event whereby the ball is struck and either touches or passes over a boundary (with or without bouncing), usually resulting in an award of 4 (four) or 6 (six) runs respectively for the batting team.
noun
- The infinitesimal open set of all points that may be reached directly from a given point.
- A set containing an open set which contains some specified point.
- Alternatively: An open set which contains some specified point.
- The set of all the vertices adjacent to a given vertex.
- The residential area near one's home.
- The inhabitants of a residential area.
- A formal or informal division of a municipality or region.
- A set containing an open ball which contains a specified point.
- An approximate amount.
- The quality of physical proximity.
- Alternatively: An open ball which contains some specified point.
noun
- The set of sets from which a topology is generated.
- A basic but essential component or ingredient.
- Foundation: a cosmetic cream to make the face appear uniform.
- A topological space, looked at in relation to one of its covering spaces, fibrations, or bundles.
- The smallest kind of cannon.
- A line in a survey which, being accurately determined in length and position, serves as the origin from which to compute the distances and positions of any points or objects connected with it by a system of triangles.
- The forces and relations of production that produce the necessities and amenities of life.
- The name of the controlling terminal of a bipolar transistor (BJT).
- Something from which other things extend; a foundation.
- A safe zone in the children's games of tag and hide-and-go-seek.
- The lowest side of a triangle or other polygon, or the lowest face of a cone, pyramid or other polyhedron laid flat.
- freebase cocaine
- A nucleotide's nucleobase in the context of a DNA or RNA biopolymer.
- The starting point of a logical deduction or thought; basis.
- In hand-to-hand balance, the person who supports the flyer; the person that remains in contact with the ground.
- A group of voters who almost always support a single party's candidates for elected office.
- A substance used as a mordant in dyeing.
- A material that holds paint or other materials together; a binder.
- A number raised to the power of an exponent.
- A supporting, lower or bottom component of a structure or object.
- Any of a class of generally water-soluble compounds, having bitter taste, that turn red litmus blue, and react with acids to form salts.
- The end of a leaf, petal or similar organ where it is attached to its support.
- A kind of skirt (often of velvet or brocade, but sometimes of mail or other armour) which hung from the middle to about the knees, or lower.
- A sequence of elements not jointly stabilized by any nontrivial group element.
- The lowermost part of a column, between the shaft and the pedestal or pavement.
- A morpheme (or morphemes) that serves as a basic foundation on which affixes can be attached.
- Synonym of radix.
- The game of prisoners' bars.
- The lowest third of a shield or escutcheon.
- The lower part of the field. See escutcheon.
- The place where decisions for an organization are made; headquarters.
- A permanent structure for housing military personnel and material.
- One of the four places that a runner can stand without being subject to being tagged out when the ball is in play.
verb
- To be located (at a particular place).
- To act as a base; to be the person supporting the flyer.
- To give as its foundation or starting point; to lay the foundation of.
- To freebase.
adj
noun
verb
- To change spoken words or written text (of a book, document, movie, etc.) from one language to another.
- To change (something) from one form or medium to another.
- Senses relating to a change of position.
- To change, or be capable of being changed, from one form or medium to another.
- To express spoken words or written text in a different (often clearer or simpler) way in the same language; to paraphrase, to rephrase, to restate.
- To generate a chain of amino acids based on the sequence of codons in an mRNA molecule.
- To rearrange (a song or music) in one genre into another.
- To provide a translation of spoken words or written text in another language; to be, or be capable of being, rendered in another language.
adj
- Of an expression, especially a function, being nonzero at a value, everywhere on a specified set, or on the entire domain.
- where a 𝜎₂ is holomorphic and nonvanishing at 0.
- {{quote-book|en
- 𝜎₁(𝜆) holomorphic and nonvanishing at 0,
- This means that the vector space of solutions of (2.25) near 𝜆=0 is generated by
- 2013-11-11, C. Herbert Clemens, A Scrapbook of Complex Curve Theory (University Series in Mathematics), Springer Science & Business Media, →ISBN, →OCLC, page 61
adj
noun
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)
- what something is used for
- 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
- a formal or official social gathering or ceremony of people
- a set sequence of steps, part of larger computer program
verb
noun
- The capability of a specified field frame to contain a specific number of uniquely identifiable points.
- The capability of a display surface or storage device to accommodate a specified number of uniquely identifiable points.
- The capability of a microprocessor etc. to deal with values of a certain size using a single instruction.
adj
- describing a set for which there exists an algorithm that will determine whether any element is or is not within the set in a finite amount of time.
- in intuitionistic logic, a proposition P is decidable in a given theory if it can be proven from the theory that "either P or not P", i.e. in symbols: P∨¬P.
- capable of being decided.
noun
- The set of points in an (m + n)-dimensional Cartesian space corresponding to all possible pairs of points from the two sets from spaces of dimension m and n. Notation: X⨯Y=(x_1,...x_m,y_1,...y_n)|(x_1,...x_m)∈X∧(y_1,...y_n)∈Y.
- All possible combinations of rows between all of the tables listed.
- The set of all possible pairs of elements whose components are members of two sets. Notation: X⨯Y=(x,y)|x∈X∧y∈Y.
noun
- Any of a group of basic geometric forms capable of being recognised as a component of a real object.
- A hypothetical electromagnetic or gravitational wave held together in a confined region by the gravitational attraction of its own field energy.
- A large unit of time, used to measure gradual geological change.
noun
- in relation to a function, the set of points where the function is not zero, or the closure of that set.
- An actor playing a subordinate part with a star.
- Answers to questions and resolution of problems regarding something sold.
- Evidence.
- Something which supports.
- An accompaniment in music.
- Compatibility and functionality for a given product or feature.
- Horizontal, vertical or rotational support of structures: movable, hinged, fixed.
- Financial or other help.
- 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).
verb
- To keep from falling.
- To be designed (said of machinery, electronics, or computers, or their parts, accessories, peripherals, or programming) to function compatibly with or provide the capacity for.
- To help, particularly financially.
- To back a cause, party, etc., mentally or with concrete aid.
- To serve, as in a customer-oriented mindset; to give support to.
- To verify; to make good; to substantiate; to establish; to sustain.
- To answer questions and resolve problems regarding something sold.
- To be accountable for, or involved with, but not responsible for.
- To assume and carry successfully, as the part of an actor; to represent or act; to sustain.
noun
- 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.
- A feeling of understanding and ease of communication between two or more people.
- sexual intercourse
- A kinship relationship between people.
- An individual who is related to oneself, through either family or business.
- A drug dealer.
- The description for a Methodist denomination as a whole, as opposed to its constituent churches, circuits, districts and conferences.
- Coherence; lack of disjointedness
- The point at which two or more things are connected.
- A transfer from one transportation vehicle to another in scheduled transportation service
- An established communications or transportation link.
- The act of connecting.
noun
- A set of points with all the combinatorial properties of a quadric (a quadric being the set of points of PG(n, q) whose coordinates satisfy a quadratic equation).
- A set of four phrases, separated by pauses when speaking or commas when writing.
- A foursome.
- A grammatical number referring to four (or more) things.
adj
noun
- The set of points in a topological space lying within some open set containing a given point.
- The set of points in a metric space of any number of dimensions lying within a given distance (the radius) of a given point.
- Any sport or game involving a ball; its play, literally or figuratively.
- A solid or hollow sphere, or roughly spherical mass.
- A competitive event among young African-American and Latin American LGBTQ+ people in which prizes are awarded for drag and similar performances. See ball culture.
- Nonsense.
- A very enjoyable time.
- An opportunity to launch the pinball into play.
- The globe; the earthly sphere.
- A pass; a kick of the football towards a teammate.
- A pitch that falls outside of the strike zone.
- The front of the bottom of the foot, just behind the toes.
- Courage.
- A large pill, a form in which medicine was given to horses; a bolus.
- A formal dance.
- A single delivery by the bowler, six of which make up an over.
- In 3-dimensional Euclidean space, the volume bounded by a sphere.
- A leather-covered cushion, fastened to a handle called a ballstock; formerly used by printers for inking the form, then superseded by the roller.
- A roundish, protuberant portion of some part of the body.
- An object that is the focus of many sports and games, in which it may be thrown, caught, kicked, bounced, rolled, chased, retrieved, hit with an instrument, spun, etc., usually roughly spherical but whose size, weight, bounciness, colour, etc. differ according to the game
- A jacketed non-expanding bullet, typically of military origin.
- One thousand US dollars.
- A quantity of string, thread, etc., wound into a spherical shape.
verb
- To reject from a fraternity or sorority. (Short for blackball.)
- To form or wind into a ball.
- To gather balls which cling to the feet, as of damp snow or clay; to gather into balls.
- To punish by affixing a ball and chain.
- To have sexual intercourse with.
- To heat in a furnace and form into balls for rolling.
- To play basketball.
- To be hip or cool.
intj
adj
- Presenting themselves simultaneously and having reciprocal properties; said of quantities, points, lines, axes, curves, etc.
- United in pairs; yoked together; coupled.
- Agreeing in derivation and radical signification; said of words.
- In single pairs; coupled.
- Containing two or more radicals supposed to act the part of a single one.
verb
- To multiply on the left by one element and on the right by its inverse.
- To inflect (a verb) for each person, in order, for one or more tenses; to list or recite its principal parts.
- To join together, to unite; to juxtapose.
- To temporarily fuse, exchanging or transferring DNA.
noun
- Given a field extension L / K and an element α ∈ L, any other element β ∈ L that is another root of the minimal polynomial of α over K.
- An explementary angle.
- A word agreeing in derivation with another word, and therefore generally resembling it in meaning.
- A complex conjugate.
- A weak and a strong antigen covalently linked together
- Any entity formed by joining two or more smaller entities together.
- More generally, any of a set of irrational or complex numbers that are zeros of the same polynomial with integral coefficients.
English words for 'The set of all possible mathematical entities (points) where a given function is defined.'
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