'The independent variable of a function.'的English词汇
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noun
- The independent variable of a function.
- a variable in a logical or mathematical expression whose value determines the dependent variable
- (by extension, humorous or euphemistic) Any dispute, altercation, or collision.
- The phase of a complex number.
- (logic, philosophy) A series of propositions organized so that the final proposition is a conclusion which is intended to follow logically from the preceding propositions, which function as premises.
- (countable) A process of reasoning; argumentation.
- A value, or a reference to a value, passed to a function.
- (countable) A verbal dispute; a quarrel.
- (also astronomy) A quantity on which the calculation of another quantity depends.
- (countable) An abstract or summary of the content of a literary work such as a book, a poem or a major section such as a chapter, included in the work before the content itself; (figuratively) the contents themselves.
- A parameter at a function call; an actual parameter, as opposed to a formal parameter.
- (countable, linguistics) Any of the phrases that bear a syntactic connection to the verb of a clause.
- (countable, also figuratively) A fact or statement used to support a proposition; a reason.
- a summary of the subject or plot of a literary work or play or movie
- a fact or assertion offered as evidence that something is true
- a discussion in which reasons are advanced for and against some proposition or proposal
- a contentious speech act; a dispute where there is strong disagreement
- a course of reasoning aimed at demonstrating a truth or falsehood; the methodical process of logical reasoning
- (computer science) a reference or value that is passed to a function, procedure, subroutine, command, or program
noun
adj
- of or involving exponents
- (mathematics) Characterised by a rate of change that is proportional to the value of the varying quantity, or, equivalently, by a doubling or halving over successive fixed intervals of time or other parameter, described as exponential growth or exponential decay.
- Relating to an exponent.
- (loosely) Characterised by a very rapid rate of change, especially increase, or merely a very large amount or degree.
- (mathematics) Expressed in terms of an exponent (power of a base), the base often being 10 or e.
noun
- (mathematics) the set of values of the independent variable for which a function is defined
- the content of a particular field of knowledge
- territory over which rule or control is exercised
- a particular environment or walk of life
- people in general; especially a distinctive group of people with some shared interest
- (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.
- (mathematics, set theory) The set of input (argument) values for which a function is defined.
- (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.
adj
- (mathematics, of a function) Having a product of independent variables, or a variable with an exponent not equal to one.
- Erratic and unpredictable; tending to jump back and forth.
- (of a system) Whose output is not directly proportional to its input.
- (chemistry, of a molecule) Whose atoms do not lie in a straight line.
- (of a set of points) Not lying on a straight line.
- designating or involving an equation whose terms are not of the first degree
noun
- (calculus) Of a function, another function, the value of which for any value of the independent variable is the instantaneous rate of change of the given function at that value of the independent variable.
- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
noun
- The value of such a derived function for a given value of its independent variable: the rate of change of a function at a point in its domain.
- (of a function of a single variable f(x)) The derived function of f(x): the function giving the instantaneous rate of change of f; equivalently, the function giving the slope of the line tangent to the graph of f. Written f'(x) or (df)/(dx) in Leibniz's notation, ̇f(x) in Newton's notation (the latter used particularly when the independent variable is time).
- (of more general classes of functions) Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc.
- (chemistry) A chemical derived from another.
- (finance) A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
- (generally) The linear operator that maps functions to their derived functions, usually written D; the simplest differential operator.
- (linguistics) A word formed by derivation, such as stylish from style.
- Something derived.
- a compound obtained from, or regarded as derived from, another compound
- a financial instrument whose value is based on another security
- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
- (linguistics) a word that is derived from another word
adj
- Imitative of the work of someone else.
- (finance) Having a value that depends on an underlying asset of variable value.
- (law, copyright law) Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.
- Obtained by derivation; not radical, original, or fundamental.
- resulting from or employing derivation
noun
- an independent variable in statistics
- an abstract part of something
- one of two or more integers that can be exactly divided into another integer
- any of the numbers (or symbols) that form a product when multiplied together
- (genetics) a segment of DNA that is involved in producing a polypeptide chain; it can include regions preceding and following the coding DNA as well as introns between the exons; it is considered a unit of heredity
- anything that contributes causally to a result
- a businessman who buys or sells for another in exchange for a commission
- (causal analysis) Influence; a phenomenon that affects the nature, the magnitude, and/or the timing of a consequence.
- One of the elements, circumstances, or influences which contribute to produce a result.
- A person or business organization that provides money for another's new business venture; one who finances another's business.
- An agent or representative; a reseller or distributor (sometimes with a private label); a consignee.
- A commission agent.
- A business organization that lends money on accounts receivable or buys and collects accounts receivable.
- (economics) A resource used in the production of goods or services, a factor of production.
- (Scotland) A steward or bailiff of an estate.
- (mathematics) Any of various objects multiplied together to form some whole.
verb
- resolve into factors
- consider as relevant when making a decision
- be a contributing factor
- (of a number or other mathematical object, intransitive) To be a product of other objects.
- (transitive) To rewrite an expression as the product of its factors.
- (commercial, transitive) To sell a debt or debts to an agent (the factor) to collect.
- (transitive) To find all the factors of (a number or other mathematical object) (the objects that divide it evenly).
noun
- a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x
- (mathematics) For a given function f, another function, denoted f⁻¹, that reverses the mapping action of f; (formally) given a function f:X→Y, a function g:Y→X such that, ∀x∈X,f(x)=y⟹g(y)=x.
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
- (intransitive) Of a variable, to be able to take any of the values in a specified range.
- 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.
- (transitive) To classify.
- To sail or pass in a direction parallel to or near.
adj
- (mathematics) Of a function: that either never decreases or never increases as its independent variable increases.
- Of or using the Greek system of diacritics which discards the breathings and employs a single accent to indicate stress. It replaced polytonic system in 1982.
- Uttered in a monotone; monotonous.
- 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
- (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
- the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant
- a harmonic with a frequency that is a multiple of the fundamental frequency
- (dentistry) dentures that replace only some of the natural teeth
- (bodybuilding) The condition of not exhausting the amplitude during the repetition of an exercise.
- (forensics) An incomplete fingerprint
- (furry fandom) A fursuit that does not fully cover the wearer's body.
- (programming, Internet) A fragment of a template containing markup.
- (mathematics) A partial derivative: a derivative with respect to one independent variable of a function in multiple variables while holding the other variables constant.
- (music) Any of the sine waves which make up a complex tone; often an overtone or harmonic of the fundamental.
adj
- (followed by ‘of’ or ‘to’) having a strong preference or liking for
- being or affecting only a part; not total
- constituting or comprising a part or fraction of a possible whole or entirety
- showing favoritism
- (botany) Subordinate.
- Biased in favor of a person, side, or point of view, especially when dealing with a competition or dispute.
- (crosswording, of a clue) Having a wordplay element, but no definition.
- (followed by the preposition to) Having a predilection for something.
- (computer science) Describing a property that holds only when an algorithm terminates.
- Existing as a part or portion; incomplete.
- (mathematics) Of or relating to a partial derivative or partial differential.
verb
noun
- the mathematical value toward which a function goes as the independent variable approaches infinity
- 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 final, utmost, or furthest point; the border or edge.
- (mathematics) Any of several abstractions of this concept of limit.
- (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.
verb
adj
noun
- a specified function
- the power to learn or retain knowledge; in law, the ability to understand the facts and significance of your behavior
- tolerance for alcohol
- the amount that can be contained
- (computer science) the amount of information (in bytes) that can be stored on a disk drive
- the maximum production possible
- capability to perform or produce
- an electrical phenomenon whereby an electric charge is stored
- the susceptibility of something to a particular treatment
- A measure of such ability; volume.
- Electrical capacitance.
- (operations) The maximum that can be produced on a machine or in a facility or group.
- The ability to hold, receive, or absorb.
- Mental ability; the power to learn;
- A role; the position in which one functions.
- Legal authority (to make an arrest for example).
- The potential for growth and development.
- The maximum that can be produced.
- Capability; the ability to perform some task.
- The maximum amount that can be held.
adj
adj
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (ring theory, of an element of a graded ring) Belonging to one of the summands of the grading (if the ring is graded over the natural numbers and the element is in the kth summand, it is said to be homogeneous of degree k; if the ring is graded over a commutative monoid I, and the element is an element of the ith summand, it is said to be of grade i)
- (of a linear differential equation) Having its degree-zero term equal to zero; admitting the trivial solution.
- (algebra, of a polynomial) Such that all its nonzero terms have the same degree.
- Having the same composition throughout; of uniform make-up.
- (probability theory, Fourier analysis, of a distribution S on Euclidean n-space (or on ℝⁿmathbf 0)) Informally: Determined by its restriction to the unit sphere. Formally: Such that, for all real t>0 and test functions ϕ( mathbf x), the equality S[t⁻ⁿϕ( mathbf x/t)]=t^(mS)[ϕ( mathbf x)] holds for some fixed real or complex m.
- Of the same kind; alike, similar.
- (of a linear map f between vector spaces graded by a commutative monoid I) Which respects the grading of its domain and codomain. Formally: Satisfying f(V_j)⊆W_i+j for fixed i (called the degree or grade of f), V_j the jth component of the grading of f 's domain, W_k the kth component of the grading of f 's codomain, and + representing the monoid operation in I.
- (geometry, of a space equipped with a group action) Informally: Everywhere the same, uniform, in the sense that any point can be moved to any other (via the group action) while respecting the structure of the space. Formally: Such that the group action is transitively and acts by automorphisms on the space (some authors also require that the action be faithful).
- (set theory, order theory, of a relation) Holding between a set and itself; being an endorelation.
- (of a first-order differential equation) Capable of being written in the form f(x,y) mathop dy=g(x,y) mathop dx where f and g are homogeneous functions of the same degree as each other.
- (linear algebra, by specialization, of a system of linear equations) Such that all the constant terms are zero.
- (mathematics) In any of several technical senses uniform; scalable; having its behavior or form determined by, or the same as, its behavior on or form at a smaller component (of its domain of definition, of itself, etc.).
- (geometry) Of or relating to homogeneous coordinates.
- The function f(x,y)#61;x²#43;x²ʸ#43;y² is not homogeneous on all of #92;mathbb#123;R#125;² because f(2,2)#61;16#92;neq 2ᵏ#42;3#61;2ᵏf(1,1) for any k, but f is homogeneous on the subspace of #92;mathbb#123;R#125;² spanned by (1,0) because f(#92;alphax,#92;alphay)#61;#92;alphax²#61;#92;alpha²f(x,y) for all (x,y)#92;in#92;operatorname#123;Span#125;#92;#123;(1,0)#92;#125;.
- (mathematical analysis, generalizing the case of polynomial functions, of a function f) Such that if each of f 's inputs are multiplied by the same scalar, f 's output is multiplied by the same scalar to some fixed power (called the degree of homogeneity or degree of f). (Formally and more generally, of a partial function f between vector spaces whose domain is a linear cone) Satisfying the equality f(s mathbf x)=sᵏᶠ(
- (chemistry) In the same state of matter.
- all of the same or similar kind or nature
verb
- (mathematics) To calculate the differential of a function of multiple variables.
- (mathematics) To calculate the derivative of a function.
- To recognize as different or distinct.
- (transitive, intransitive, often in the passive voice, biology) To (cause to) go through a process of development called differentiation; to make or become different in form or function.
- To modify so as to create a difference or distinction.
- To show or be the difference or distinction between things.
- To perceive the difference between things; to discriminate.
- (education) To teach a lesson in multiple different ways in order to meet the needs of more or less advanced students.
- become distinct and acquire a different character
- evolve so as to lead to a new species or develop in a way most suited to the environment
- be a distinctive feature, attribute, or trait; sometimes in a very positive sense
- mark as different
- calculate a derivative; take the derivative
- become different during development
noun
name
- The definite integral of a continuous function f over a closed interval [a,,b] is equal to the net change of any antiderivative F over [a,,b], or: ∫ₐᵇf(x),dx=F(b)-F(a).
- For a continuous function f, an antiderivative or indefinite integral of F can be obtained as the integral of f over an interval with a variable upper bound, or: F(x)=∫ₐˣf(t),dt.
noun
- (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.
- (specifically, complex analysis) A meromorphic function on the complex plane that is not a rational function.
verb
- (transitive, mathematics, proscribed) To differentiate (a function).
- (transitive, linguistics) To find the derivation of (a word or phrase).
- (transitive, logic) To deduce (a conclusion) by reasoning.
- (transitive) To obtain or receive (something) from something else.
- (transitive, chemistry) To create (a compound) from another by means of a reaction.
- (intransitive) To originate or stem (from).
- To turn the course of (water, etc.); to divert and distribute into subordinate channels.
- come from; be connected by a relationship of blood, for example
- obtain
- develop or evolve from a latent or potential state
- obtain from a particular source
- reason by deduction; establish by deduction
verb
noun
- (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.
- 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
- (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 set sequence of steps, part of larger computer program
noun
- (calculus) A function f : X→R (where X is a subset of R, possibly a discrete set) that either never decreases or never increases as its independent variable increases; that is, either x ≤ y implies f(x) ≤ f(y) or x ≤ y implies f(y) ≤ f(x).
- (Boolean algebra) A Boolean function with the property that switching any one input variable from 0 to 1 results either in no change in output or a change from 0 to 1.
- (order theory, mathematical analysis) A function f : X→Y (where X and Y are posets with partial order "≤") with either: (1) the property that x ≤ y implies f(x) ≤ f(y), or (2) the property that x ≤ y implies f(y) ≤ f(x).
noun
- the mathematical process of obtaining the derivative of a function
- (biology) the structural adaptation of some body part for a particular function
- a discrimination between things as different and distinct on the basis of their characteristics or attributes
- (biology) The process by which the components of multicellular life (cells, organs, etc.) are produced and acquire function, as when a seed develops the root and stem, and the initial stem develops the leaf, branches, and flower buds.
- (biology, evolution) The evolutionary process by which one taxonomic group (species, genus, variety, etc.) becomes distinct from another, or acquires distinct features; the result of such a process: distinctness.
- The act of treating one thing as distinct from another, or of creating such a distinction; of separating a class of things into categories; of describing a thing by illustrating how it is different from something else.
- (geology) The process of separation of cooling magma into various rock types.
- (mathematics, calculus) The process of applying the derivative operator to a function; of calculating a function's derivative.
- The process of developing distinct components.
adj
- possessing a differential coefficient or derivative
- capable of being perceived as different
- (comparable, of multiple items) able to be differentiated; distinguishable, as for example by differing appearance or measurable characteristics.
- (calculus, not comparable) Having a derivative, said of a function whose domain and codomain are manifolds.
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
- (statistics) The phenomenon where an independent variable no longer has an effect on a dependent variable, or the level above which variance in an independent variable is no longer measurable.
- (pharmacology) The process of increasing doses of a given medication to have progressively smaller incremental effect.
adj
- (mathematics, of a function) having a single derivative at a point
- producing offspring of only one sex, exhibiting monogeny
- of or relating to monogenesis or to monogenism
- (mathematics, of a semigroup) generated by a set containing only a single element
- (genetics) regulated by a single gene
- of or relating to an inheritable character that is controlled by a single pair of genes
noun
noun
- A dependent function in a noun phrase that marks it as definite or indefinite. This function is usually filled by words in the determinative class but may be filled by other elements such as a genitive pronoun.
- Someone or something (especially a sentient agent) that determines; a decider of a disposition.
- A member of a class of words functioning in a noun phrase to identify or distinguish a referent without describing or modifying it.
- A factor that defines something, or one among several that define it.
- a determining or causal element or factor
- an argument that is conclusive
- one of a limited class of noun modifiers that determine the referents of noun phrases
noun
- the difference between an observed value and the expected value of a variable or function
- a turning aside (of your course or attention or concern)
- deviate behavior
- a variation that deviates from the standard or norm
- the error of a compass due to local magnetic disturbances
- A departure from the correct way of acting.
- (metrology) The signed difference between a value and its reference value.
- (statistics) For interval variables and ratio variables, a measure of difference between the observed value and the mean.
- (contract law) The voluntary and unnecessary departure of a ship from, or delay in, the regular and usual course of the specific voyage insured, thus releasing the underwriters from their responsibility.
- (Absolute Deviation) The shortest distance between the center of the target and the point where a projectile hits or bursts.
- The act of deviating; wandering off the correct or true path or road.
- A detour in a road or railway.
- (aviation) A detour to one side of the originally-planned flightpath (for instance, to avoid weather); the act of making such a detour.
- The state or result of having deviated; a transgression; an act of sin; an error; an offense.
verb
- perform a function
- carry out or perform an action
- get (something) done
- give a performance (of something)
- (intransitive) To behave in ways that carry meaning in social contexts.
- (sexology, uncommon) Of a man, to be able to initiate or fulfill an act of sexual intercourse.
- (by extension, transitive) To behave theatrically so as to give the impression of (a quality, character trait, etc.); to feign.
- (intransitive) To fulfill contractually agreed-to terms.
- (transitive) To behave in accordance with, and thereby in turn shape, (a social notion or role).
- (transitive) To do (something); to execute.
- (ambitransitive) To do (something) in front of an audience, such as acting or music, often in order to entertain.
- (intransitive) To exhibit an expected pattern of behavior; to function; to work.
- (transitive) To act in accordance with (a contract); to fulfill one’s terms of (a contract).
noun
- (calculus, of a function) The ratio of the rates of change of a dependent variable and an independent variable, the slope of a curve's tangent.
- A slope or incline.
- (sciences) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
- (calculus) A differential operator that maps each point of a scalar field to a vector pointed in the direction of the greatest rate of change of the scalar. Notation for a scalar field φ: ∇φ
- A gradual change in color; a color gradient; gradation.
- A rate of inclination or declination of a slope.
- the property possessed by a line or surface that departs from the horizontal
- a graded change in the magnitude of some physical quantity or dimension
adj
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
- The independent variable of a function.
- a variable in a logical or mathematical expression whose value determines the dependent variable
- (by extension, humorous or euphemistic) Any dispute, altercation, or collision.
- The phase of a complex number.
- (logic, philosophy) A series of propositions organized so that the final proposition is a conclusion which is intended to follow logically from the preceding propositions, which function as premises.
- (countable) A process of reasoning; argumentation.
- A value, or a reference to a value, passed to a function.
- (countable) A verbal dispute; a quarrel.
- (also astronomy) A quantity on which the calculation of another quantity depends.
- (countable) An abstract or summary of the content of a literary work such as a book, a poem or a major section such as a chapter, included in the work before the content itself; (figuratively) the contents themselves.
- A parameter at a function call; an actual parameter, as opposed to a formal parameter.
- (countable, linguistics) Any of the phrases that bear a syntactic connection to the verb of a clause.
- (countable, also figuratively) A fact or statement used to support a proposition; a reason.
- a summary of the subject or plot of a literary work or play or movie
- a fact or assertion offered as evidence that something is true
- a discussion in which reasons are advanced for and against some proposition or proposal
- a contentious speech act; a dispute where there is strong disagreement
- a course of reasoning aimed at demonstrating a truth or falsehood; the methodical process of logical reasoning
- (computer science) a reference or value that is passed to a function, procedure, subroutine, command, or program
noun
adj
- of or involving exponents
- (mathematics) Characterised by a rate of change that is proportional to the value of the varying quantity, or, equivalently, by a doubling or halving over successive fixed intervals of time or other parameter, described as exponential growth or exponential decay.
- Relating to an exponent.
- (loosely) Characterised by a very rapid rate of change, especially increase, or merely a very large amount or degree.
- (mathematics) Expressed in terms of an exponent (power of a base), the base often being 10 or e.
noun
- (mathematics) the set of values of the independent variable for which a function is defined
- the content of a particular field of knowledge
- territory over which rule or control is exercised
- a particular environment or walk of life
- people in general; especially a distinctive group of people with some shared interest
- (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.
- (mathematics, set theory) The set of input (argument) values for which a function is defined.
- (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.
noun
- (calculus) Of a function, another function, the value of which for any value of the independent variable is the instantaneous rate of change of the given function at that value of the independent variable.
- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
noun
- The value of such a derived function for a given value of its independent variable: the rate of change of a function at a point in its domain.
- (of a function of a single variable f(x)) The derived function of f(x): the function giving the instantaneous rate of change of f; equivalently, the function giving the slope of the line tangent to the graph of f. Written f'(x) or (df)/(dx) in Leibniz's notation, ̇f(x) in Newton's notation (the latter used particularly when the independent variable is time).
- (of more general classes of functions) Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc.
- (chemistry) A chemical derived from another.
- (finance) A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
- (generally) The linear operator that maps functions to their derived functions, usually written D; the simplest differential operator.
- (linguistics) A word formed by derivation, such as stylish from style.
- Something derived.
- a compound obtained from, or regarded as derived from, another compound
- a financial instrument whose value is based on another security
- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
- (linguistics) a word that is derived from another word
adj
- Imitative of the work of someone else.
- (finance) Having a value that depends on an underlying asset of variable value.
- (law, copyright law) Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.
- Obtained by derivation; not radical, original, or fundamental.
- resulting from or employing derivation
noun
- an independent variable in statistics
- an abstract part of something
- one of two or more integers that can be exactly divided into another integer
- any of the numbers (or symbols) that form a product when multiplied together
- (genetics) a segment of DNA that is involved in producing a polypeptide chain; it can include regions preceding and following the coding DNA as well as introns between the exons; it is considered a unit of heredity
- anything that contributes causally to a result
- a businessman who buys or sells for another in exchange for a commission
- (causal analysis) Influence; a phenomenon that affects the nature, the magnitude, and/or the timing of a consequence.
- One of the elements, circumstances, or influences which contribute to produce a result.
- A person or business organization that provides money for another's new business venture; one who finances another's business.
- An agent or representative; a reseller or distributor (sometimes with a private label); a consignee.
- A commission agent.
- A business organization that lends money on accounts receivable or buys and collects accounts receivable.
- (economics) A resource used in the production of goods or services, a factor of production.
- (Scotland) A steward or bailiff of an estate.
- (mathematics) Any of various objects multiplied together to form some whole.
verb
- resolve into factors
- consider as relevant when making a decision
- be a contributing factor
- (of a number or other mathematical object, intransitive) To be a product of other objects.
- (transitive) To rewrite an expression as the product of its factors.
- (commercial, transitive) To sell a debt or debts to an agent (the factor) to collect.
- (transitive) To find all the factors of (a number or other mathematical object) (the objects that divide it evenly).
noun
- a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x
- (mathematics) For a given function f, another function, denoted f⁻¹, that reverses the mapping action of f; (formally) given a function f:X→Y, a function g:Y→X such that, ∀x∈X,f(x)=y⟹g(y)=x.
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
- (intransitive) Of a variable, to be able to take any of the values in a specified range.
- 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.
- (transitive) To classify.
- To sail or pass in a direction parallel to or near.
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
- the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant
- a harmonic with a frequency that is a multiple of the fundamental frequency
- (dentistry) dentures that replace only some of the natural teeth
- (bodybuilding) The condition of not exhausting the amplitude during the repetition of an exercise.
- (forensics) An incomplete fingerprint
- (furry fandom) A fursuit that does not fully cover the wearer's body.
- (programming, Internet) A fragment of a template containing markup.
- (mathematics) A partial derivative: a derivative with respect to one independent variable of a function in multiple variables while holding the other variables constant.
- (music) Any of the sine waves which make up a complex tone; often an overtone or harmonic of the fundamental.
adj
- (followed by ‘of’ or ‘to’) having a strong preference or liking for
- being or affecting only a part; not total
- constituting or comprising a part or fraction of a possible whole or entirety
- showing favoritism
- (botany) Subordinate.
- Biased in favor of a person, side, or point of view, especially when dealing with a competition or dispute.
- (crosswording, of a clue) Having a wordplay element, but no definition.
- (followed by the preposition to) Having a predilection for something.
- (computer science) Describing a property that holds only when an algorithm terminates.
- Existing as a part or portion; incomplete.
- (mathematics) Of or relating to a partial derivative or partial differential.
verb
noun
- the mathematical value toward which a function goes as the independent variable approaches infinity
- 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 final, utmost, or furthest point; the border or edge.
- (mathematics) Any of several abstractions of this concept of limit.
- (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.
verb
adj
noun
- a specified function
- the power to learn or retain knowledge; in law, the ability to understand the facts and significance of your behavior
- tolerance for alcohol
- the amount that can be contained
- (computer science) the amount of information (in bytes) that can be stored on a disk drive
- the maximum production possible
- capability to perform or produce
- an electrical phenomenon whereby an electric charge is stored
- the susceptibility of something to a particular treatment
- A measure of such ability; volume.
- Electrical capacitance.
- (operations) The maximum that can be produced on a machine or in a facility or group.
- The ability to hold, receive, or absorb.
- Mental ability; the power to learn;
- A role; the position in which one functions.
- Legal authority (to make an arrest for example).
- The potential for growth and development.
- The maximum that can be produced.
- Capability; the ability to perform some task.
- The maximum amount that can be held.
adj
noun
- (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.
- (specifically, complex analysis) A meromorphic function on the complex plane that is not a rational function.
noun
- (calculus) A function f : X→R (where X is a subset of R, possibly a discrete set) that either never decreases or never increases as its independent variable increases; that is, either x ≤ y implies f(x) ≤ f(y) or x ≤ y implies f(y) ≤ f(x).
- (Boolean algebra) A Boolean function with the property that switching any one input variable from 0 to 1 results either in no change in output or a change from 0 to 1.
- (order theory, mathematical analysis) A function f : X→Y (where X and Y are posets with partial order "≤") with either: (1) the property that x ≤ y implies f(x) ≤ f(y), or (2) the property that x ≤ y implies f(y) ≤ f(x).
noun
- the mathematical process of obtaining the derivative of a function
- (biology) the structural adaptation of some body part for a particular function
- a discrimination between things as different and distinct on the basis of their characteristics or attributes
- (biology) The process by which the components of multicellular life (cells, organs, etc.) are produced and acquire function, as when a seed develops the root and stem, and the initial stem develops the leaf, branches, and flower buds.
- (biology, evolution) The evolutionary process by which one taxonomic group (species, genus, variety, etc.) becomes distinct from another, or acquires distinct features; the result of such a process: distinctness.
- The act of treating one thing as distinct from another, or of creating such a distinction; of separating a class of things into categories; of describing a thing by illustrating how it is different from something else.
- (geology) The process of separation of cooling magma into various rock types.
- (mathematics, calculus) The process of applying the derivative operator to a function; of calculating a function's derivative.
- The process of developing distinct components.
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
- (statistics) The phenomenon where an independent variable no longer has an effect on a dependent variable, or the level above which variance in an independent variable is no longer measurable.
- (pharmacology) The process of increasing doses of a given medication to have progressively smaller incremental effect.
noun
- A dependent function in a noun phrase that marks it as definite or indefinite. This function is usually filled by words in the determinative class but may be filled by other elements such as a genitive pronoun.
- Someone or something (especially a sentient agent) that determines; a decider of a disposition.
- A member of a class of words functioning in a noun phrase to identify or distinguish a referent without describing or modifying it.
- A factor that defines something, or one among several that define it.
- a determining or causal element or factor
- an argument that is conclusive
- one of a limited class of noun modifiers that determine the referents of noun phrases
noun
- the difference between an observed value and the expected value of a variable or function
- a turning aside (of your course or attention or concern)
- deviate behavior
- a variation that deviates from the standard or norm
- the error of a compass due to local magnetic disturbances
- A departure from the correct way of acting.
- (metrology) The signed difference between a value and its reference value.
- (statistics) For interval variables and ratio variables, a measure of difference between the observed value and the mean.
- (contract law) The voluntary and unnecessary departure of a ship from, or delay in, the regular and usual course of the specific voyage insured, thus releasing the underwriters from their responsibility.
- (Absolute Deviation) The shortest distance between the center of the target and the point where a projectile hits or bursts.
- The act of deviating; wandering off the correct or true path or road.
- A detour in a road or railway.
- (aviation) A detour to one side of the originally-planned flightpath (for instance, to avoid weather); the act of making such a detour.
- The state or result of having deviated; a transgression; an act of sin; an error; an offense.
noun
- (calculus, of a function) The ratio of the rates of change of a dependent variable and an independent variable, the slope of a curve's tangent.
- A slope or incline.
- (sciences) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
- (calculus) A differential operator that maps each point of a scalar field to a vector pointed in the direction of the greatest rate of change of the scalar. Notation for a scalar field φ: ∇φ
- A gradual change in color; a color gradient; gradation.
- A rate of inclination or declination of a slope.
- the property possessed by a line or surface that departs from the horizontal
- a graded change in the magnitude of some physical quantity or dimension
adj
verb
- (mathematics) To calculate the differential of a function of multiple variables.
- (mathematics) To calculate the derivative of a function.
- To recognize as different or distinct.
- (transitive, intransitive, often in the passive voice, biology) To (cause to) go through a process of development called differentiation; to make or become different in form or function.
- To modify so as to create a difference or distinction.
- To show or be the difference or distinction between things.
- To perceive the difference between things; to discriminate.
- (education) To teach a lesson in multiple different ways in order to meet the needs of more or less advanced students.
- become distinct and acquire a different character
- evolve so as to lead to a new species or develop in a way most suited to the environment
- be a distinctive feature, attribute, or trait; sometimes in a very positive sense
- mark as different
- calculate a derivative; take the derivative
- become different during development
noun
verb
- (transitive, mathematics, proscribed) To differentiate (a function).
- (transitive, linguistics) To find the derivation of (a word or phrase).
- (transitive, logic) To deduce (a conclusion) by reasoning.
- (transitive) To obtain or receive (something) from something else.
- (transitive, chemistry) To create (a compound) from another by means of a reaction.
- (intransitive) To originate or stem (from).
- To turn the course of (water, etc.); to divert and distribute into subordinate channels.
- come from; be connected by a relationship of blood, for example
- obtain
- develop or evolve from a latent or potential state
- obtain from a particular source
- reason by deduction; establish by deduction
verb
noun
- (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.
- 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
- (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 set sequence of steps, part of larger computer program
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
- (intransitive) Of a variable, to be able to take any of the values in a specified range.
- 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.
- (transitive) To classify.
- To sail or pass in a direction parallel to or near.
verb
- perform a function
- carry out or perform an action
- get (something) done
- give a performance (of something)
- (intransitive) To behave in ways that carry meaning in social contexts.
- (sexology, uncommon) Of a man, to be able to initiate or fulfill an act of sexual intercourse.
- (by extension, transitive) To behave theatrically so as to give the impression of (a quality, character trait, etc.); to feign.
- (intransitive) To fulfill contractually agreed-to terms.
- (transitive) To behave in accordance with, and thereby in turn shape, (a social notion or role).
- (transitive) To do (something); to execute.
- (ambitransitive) To do (something) in front of an audience, such as acting or music, often in order to entertain.
- (intransitive) To exhibit an expected pattern of behavior; to function; to work.
- (transitive) To act in accordance with (a contract); to fulfill one’s terms of (a contract).
adj
- (mathematics, of a function) Having a product of independent variables, or a variable with an exponent not equal to one.
- Erratic and unpredictable; tending to jump back and forth.
- (of a system) Whose output is not directly proportional to its input.
- (chemistry, of a molecule) Whose atoms do not lie in a straight line.
- (of a set of points) Not lying on a straight line.
- designating or involving an equation whose terms are not of the first degree
adj
- (mathematics) Of a function: that either never decreases or never increases as its independent variable increases.
- Of or using the Greek system of diacritics which discards the breathings and employs a single accent to indicate stress. It replaced polytonic system in 1982.
- Uttered in a monotone; monotonous.
- 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
adj
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (ring theory, of an element of a graded ring) Belonging to one of the summands of the grading (if the ring is graded over the natural numbers and the element is in the kth summand, it is said to be homogeneous of degree k; if the ring is graded over a commutative monoid I, and the element is an element of the ith summand, it is said to be of grade i)
- (of a linear differential equation) Having its degree-zero term equal to zero; admitting the trivial solution.
- (algebra, of a polynomial) Such that all its nonzero terms have the same degree.
- Having the same composition throughout; of uniform make-up.
- (probability theory, Fourier analysis, of a distribution S on Euclidean n-space (or on ℝⁿmathbf 0)) Informally: Determined by its restriction to the unit sphere. Formally: Such that, for all real t>0 and test functions ϕ( mathbf x), the equality S[t⁻ⁿϕ( mathbf x/t)]=t^(mS)[ϕ( mathbf x)] holds for some fixed real or complex m.
- Of the same kind; alike, similar.
- (of a linear map f between vector spaces graded by a commutative monoid I) Which respects the grading of its domain and codomain. Formally: Satisfying f(V_j)⊆W_i+j for fixed i (called the degree or grade of f), V_j the jth component of the grading of f 's domain, W_k the kth component of the grading of f 's codomain, and + representing the monoid operation in I.
- (geometry, of a space equipped with a group action) Informally: Everywhere the same, uniform, in the sense that any point can be moved to any other (via the group action) while respecting the structure of the space. Formally: Such that the group action is transitively and acts by automorphisms on the space (some authors also require that the action be faithful).
- (set theory, order theory, of a relation) Holding between a set and itself; being an endorelation.
- (of a first-order differential equation) Capable of being written in the form f(x,y) mathop dy=g(x,y) mathop dx where f and g are homogeneous functions of the same degree as each other.
- (linear algebra, by specialization, of a system of linear equations) Such that all the constant terms are zero.
- (mathematics) In any of several technical senses uniform; scalable; having its behavior or form determined by, or the same as, its behavior on or form at a smaller component (of its domain of definition, of itself, etc.).
- (geometry) Of or relating to homogeneous coordinates.
- The function f(x,y)#61;x²#43;x²ʸ#43;y² is not homogeneous on all of #92;mathbb#123;R#125;² because f(2,2)#61;16#92;neq 2ᵏ#42;3#61;2ᵏf(1,1) for any k, but f is homogeneous on the subspace of #92;mathbb#123;R#125;² spanned by (1,0) because f(#92;alphax,#92;alphay)#61;#92;alphax²#61;#92;alpha²f(x,y) for all (x,y)#92;in#92;operatorname#123;Span#125;#92;#123;(1,0)#92;#125;.
- (mathematical analysis, generalizing the case of polynomial functions, of a function f) Such that if each of f 's inputs are multiplied by the same scalar, f 's output is multiplied by the same scalar to some fixed power (called the degree of homogeneity or degree of f). (Formally and more generally, of a partial function f between vector spaces whose domain is a linear cone) Satisfying the equality f(s mathbf x)=sᵏᶠ(
- (chemistry) In the same state of matter.
- all of the same or similar kind or nature
adj
- possessing a differential coefficient or derivative
- capable of being perceived as different
- (comparable, of multiple items) able to be differentiated; distinguishable, as for example by differing appearance or measurable characteristics.
- (calculus, not comparable) Having a derivative, said of a function whose domain and codomain are manifolds.
adj
- (mathematics, of a function) having a single derivative at a point
- producing offspring of only one sex, exhibiting monogeny
- of or relating to monogenesis or to monogenism
- (mathematics, of a semigroup) generated by a set containing only a single element
- (genetics) regulated by a single gene
- of or relating to an inheritable character that is controlled by a single pair of genes
noun
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