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adj
- Relating to an exponent.
- 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.
- (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
adj
- of or relating to the multiplicative inverse of a quantity or function
- concerning each of two or more persons or things; especially given or done in return
- Done, given, felt, or owed in return.
- Mutually interchangeable.
- (grammar) Expressing mutual action, applied to pronouns and verbs; also in a broad sense: reflexive.
- Of a feeling, action or such: mutual, uniformly felt or done by each party towards the other or others; two-way.
- (mathematics) Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities.
noun
- something (a term or expression or concept) that has an inverse relation to something else
- (mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7
- hybridization involving a pair of crosses that reverse the sexes associated with each genotype
- (grammar) A construction expressing mutual action.
- (arithmetic) The number obtained by dividing 1 by another given number; the result of exchanging the numerator and the denominator of a fraction.
adj
- Of, or relating to, algebra.
- of or relating to algebra
- (algebra, of a field) Whose every element is a root of some polynomial whose coefficients are rational.
- (chess, of notation) Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective.
- (algebra, number theory, of a number) Which is a root of some polynomial whose coefficients are rational.
- (mathematics, of an expression, equation, or function) Containing only numbers, letters, and arithmetic operators.
adj
- of or denoted by an integer
- (mathematics) Of, pertaining to, or being an integer.
- constituting the undiminished entirety; lacking nothing essential especially not damaged
- existing as an essential constituent or characteristic
- Constituting a whole together with other parts or factors; not omittable or removable.
- (mathematics) Relating to integration (“the process of finding the integral [noun] of a function”).
- (algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A.
noun
- the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
- (mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
- (mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
- (specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
- (mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
noun
- (mathematics) An explementary angle.
- (algebra) More generally, any of a set of irrational or complex numbers that are zeros of the same polynomial with integral coefficients.
- (algebra, of a complex number) A complex conjugate.
- (grammar) A word agreeing in derivation with another word, and therefore generally resembling it in meaning.
- (algebra, field theory, of an element of an extension field) 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.
- (anatomy, obstetrics) A type of pelvic measurement.
- Any entity formed by joining two or more smaller entities together.
- (immunology) A weak and a strong antigen covalently linked together
- a mixture of two partially miscible liquids A and B produces two conjugate solutions: one of A in B and another of B in A
adj
- (grammar) Agreeing in derivation and radical signification; said of words.
- (botany) In single pairs; coupled.
- (chemistry) Containing two or more radicals supposed to act the part of a single one.
- United in pairs; yoked together; coupled.
- (mathematics) Presenting themselves simultaneously and having reciprocal properties; said of quantities, points, lines, axes, curves, etc.
- (of a pinnate leaflet) having only one pair of leaflets
- formed by the union of two compounds
- of an organic compound; containing two or more double bonds each separated from the other by a single bond
- joined together especially in a pair or pairs
verb
- (rare) To join together, to unite; to juxtapose.
- (biology, of bacteria and algae) To temporarily fuse, exchanging or transferring DNA.
- (grammar, transitive) To inflect (a verb) for each person, in order, for one or more tenses; to list or recite its principal parts.
- (mathematics) To multiply on the left by one element and on the right by its inverse.
- unite chemically so that the product is easily broken down into the original compounds
- undergo conjugation
- add inflections showing person, number, gender, tense, aspect, etc.
verb
- (arithmetic) To exponentiate, to involute.
- (figurative) To cause (a dead person) to live again; to resurrect.
- (metalworking, transitive) To emboss (sheet metal), or to form it into cup-shaped or hollow articles, by hammering, stamping, or spinning.
- To cause something to come to the surface of water.
- Misspelling of raze.
- (law) To create; to constitute (a use, or a beneficial interest in property).
- To establish contact with (e.g., by telephone or radio).
- To bring into being; to produce; to cause to arise, come forth, or appear.
- (physical) To cause to rise; to lift or elevate.
- (nautical) To cause (the land or any other object) to seem higher by drawing nearer to it.
- To collect or amass.
- (linguistics, transitive, of a vowel) To produce a vowel with the tongue positioned closer to the roof of the mouth.
- To increase the nominal value of (a cheque, money order, etc.) by fraudulently changing the writing or printing in which the sum payable is specified.
- (India, transitive) To open, initiate.
- To promote.
- (military, transitive) To relinquish (a siege), or cause this to be done.
- (poker, intransitive) To respond to a bet by increasing the amount required to continue in the hand.
- To form by the accumulation of materials or constituent parts; to build up; to erect.
- To mention (a question, issue) for discussion.
- (linguistics, transitive, of a verb) To extract (a subject or other verb argument) out of an inner clause.
- (transitive) To create, increase or develop.
- (military) To remove or break up (a blockade), either by withdrawing the ships or forces employed in enforcing it, or by driving them away or dispersing them.
- To bring up; to grow.
- (programming, transitive) To instantiate and transmit (an exception, by throwing it, or an event).
- To make (bread, etc.) light, as by yeast or leaven.
- raise in rank or condition
- summon into action or bring into existence, often as if by magic
- put forward for consideration or discussion
- give a promotion to or assign to a higher position
- increase the level of
- put an end to a situation
- bid (one's partner's suit) at a higher level
- bring (a surface or a design) into relief and cause to project
- bet more than the previous player
- create a disturbance, especially by making a great noise
- collect funds for a specific purpose
- cause to be heard or known; express or utter
- move upwards
- call forth (emotions, feelings, and responses)
- cause to become alive again
- cause to puff up with a leaven
- raise the level or amount of something
- activate or stir up
- multiply (a number) by itself a specified number of times: 8 is 2 raised to the power 3
- invigorate or heighten
- establish radio communications with
- raise from a lower to a higher position
- construct, build, or erect
- cultivate by growing, often involving improvements by means of agricultural techniques
- pronounce (vowels) by bringing the tongue closer to the roof of the mouth
- register formally as a participant or member
- look after a child until it is an adult
- cause to assemble or enlist in military
noun
- (curling) A shot in which the delivered stone bumps another stone forward.
- (weightlifting) A shoulder exercise in which the arms are elevated against resistance.
- (mining) A shaft or a winze that is dug from below, for purposes such as ventilation, local extraction of ore, or exploration.
- A cairn or pile of stones.
- (poker) A bet that increases the previous bet.
- (US) Ellipsis of pay raise (“an increase in wages or salary”).
- increasing the size of a bet (as in poker)
- the act of raising something
- an upward slope or grade (as in a road)
- the amount a salary is increased
noun
- (mathematics) A number raised to the power of an exponent.
- (electronics) The name of the controlling terminal of a bipolar transistor (BJT).
- (acrobatics, cheerleading) In hand-to-hand balance, the person who supports the flyer; the person that remains in contact with the ground.
- The starting point of a logical deduction or thought; basis.
- (architecture) The lowermost part of a column, between the shaft and the pedestal or pavement.
- (group theory) A sequence of elements not jointly stabilized by any nontrivial group element.
- (topology) The set of sets from which a topology is generated.
- (heraldry) The lowest third of a shield (or field), or an ordinary occupying this space, the champagne. (Compare terrace.)
- The place where decisions for an organization are made; headquarters.
- (cooking, painting, pharmacy) A basic but essential component or ingredient.
- 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.
- (chemistry) Any of a class of generally water-soluble compounds that turn red litmus blue and react with acids to form salts.
- (aviation) Ellipsis of base leg.
- A site, structure, or both, usually durable and often permanent, for housing military personnel and materiel.
- (botany) The end of a leaf, petal or similar organ where it is attached to its support.
- (topology) A topological space, looked at in relation to one of its covering spaces, fibrations, or bundles.
- (military, historical) The smallest kind of cannon.
- (historical, sometimes in the plural) A kind of skirt (often of velvet or brocade) which hung from the middle to about the knees, or lower.
- (biology, biochemistry) A nucleotide's nucleobase in the context of a DNA or RNA biopolymer.
- (historical, sometimes in the plural) A kind of armour skirt, of mail or plate, imitating the preceding civilian skirt.
- A safe zone in the children's games of tag and hide-and-go-seek.
- (slang, uncountable) freebase cocaine
- (cosmetics) Foundation: a cosmetic cream to make the face appear uniform.
- (geometry) The lowest side of a triangle or other polygon, or the lowest face of a cone, pyramid or other polyhedron laid flat.
- (linguistics) A morpheme (or morphemes) that serves as a basic foundation on which affixes can be attached.
- (politics) A group of voters who almost always support a single party's candidates for elected office.
- Something from which other things extend; a foundation.
- (baseball) One of the four places that a runner can stand without being subject to being tagged out when the ball is in play.
- (mathematics) Synonym of radix.
- A material that holds paint or other materials together; a binder.
- A supporting, lower or bottom component of a structure or object.
- Alternative form of BASE.
- (now chiefly US, historical) The game of prisoners' bars.
- (Marxism) The forces and relations of production that produce the necessities and amenities of life.
- A substance used as a mordant in dyeing.
- lowest support of a structure
- (electronics) the part of a transistor that separates the emitter from the collector
- the fundamental assumptions from which something is begun or developed or calculated or explained
- the place where you are stationed and from which missions start and end
- (numeration system) the positive integer that is equivalent to one in the next higher counting place
- a phosphoric ester of a nucleoside; the basic structural unit of nucleic acids (DNA or RNA)
- the stock of basic facilities and capital equipment needed for the functioning of a country or area
- the bottom or lowest part
- a place that the runner must touch before scoring
- a support or foundation
- the principal ingredient of a mixture
- any of various water-soluble compounds capable of turning litmus blue and reacting with an acid to form a salt and water
- installation from which a military force initiates operations
- (linguistics) the form of a word after all affixes are removed
- a lower limit
- the most important or necessary part of something
- (anatomy) the part of an organ nearest its point of attachment
- the bottom side of a geometric figure from which the altitude can be constructed
- a flat bottom on which something is intended to sit
adj
- Not classical or correct.
- Morally reprehensible, immoral; cowardly.
- Low in place or position.
- Alloyed with inferior metal; debased.
- (law) Relating to feudal land tenure held by a tenant from a lord in exchange for services that are seen as unworthy for noblemen to perform, such as villeinage.
- (of a metal) Not considered precious or noble.
- (used of metals) consisting of or alloyed with inferior metal
- of low birth or station (‘base’ is archaic in this sense)
- illegitimate
- serving as or forming a base
- not adhering to ethical or moral principles
- debased; not genuine
- having or showing an ignoble lack of honor or morality
verb
- (transitive) To give as its foundation or starting point; to lay the foundation of.
- (slang) To freebase.
- (acrobatics, cheerleading) To act as a base; to be the person supporting the flyer.
- (transitive) To be located (at a particular place).
- situate as a center of operations
- use (purified cocaine) by burning it and inhaling the fumes
- use as a basis for; found on
adj
- (mathematics) Relating to the corresponding elements of an equivalence relation.
- (cartography) Of a map, equal-area.
- (geometry) Equal in measure but not admitting of superposition; applied to magnitudes.
- (mathematics, category theory) Of two categories, (informally) such that one is essentially a relabeling of the other; (formally) related by a pair of functors such the composition of the one with the other is naturally isomorphic to the identity functor.
- (chemistry) Having the equal ability to combine.
- Similar or identical in value, meaning or effect; virtually equal.
- (mathematics) Of two sets, having a one-to-one correspondence.
- being essentially equal to something
noun
- Anything that is virtually equal to something else, or has the same value, force, etc.
- (chemistry) An equivalent weight.
- a person or thing equal to another in value or measure or force or effect or significance etc
- the atomic weight of an element that has the same combining capacity as a given weight of another element; the standard is 8 for oxygen
verb
noun
- (mathematics) a quantity expressed as the root of another quantity
- a character conveying the lexical meaning of a logogram
- (linguistics) the form of a word after all affixes are removed
- an atom or group of atoms with at least one unpaired electron; in the body it is usually an oxygen molecule that has lost an electron and will stabilize itself by stealing an electron from a nearby molecule
- (chemistry) two or more atoms bound together as a single unit and forming part of a molecule
- a person who has radical ideas or opinions
- (linguistics) In logographic writing systems such as the Chinese writing system, the portion of a character (if any) that provides an indication of its meaning, as opposed to phonetic.
- (organic chemistry) A free radical.
- (chemistry) A group of atoms, joined by covalent bonds, that take part in reactions as a single unit.
- (algebra, commutative algebra, ring theory, of an ideal) Given an ideal I in a commutative ring R, another ideal, denoted Rad(I) or √, such that an element x ∈ R is in Rad(I) if, for some positive integer n, xⁿ ∈ I; equivalently, the intersection of all prime ideals containing I.
- A person with radical opinions.
- (number theory) The product of the distinct prime factors of a given positive integer.
- (arithmetic) A root (of a number or quantity).
- (historical, early 20th-century France) A member of an influential, centrist political party favouring moderate social reform, a republican constitution, and secular politics.
- (linguistics) In Semitic languages, any one of the set of consonants (typically three) that make up a root.
- (algebra, ring theory, of a ring) Given a ring R, an ideal containing elements of R that share a property considered, in some sense, "not good".
- (historical, 19th-century Britain, politics) A member of the most progressive wing of the Liberal Party; someone favouring social reform (but generally stopping short of socialism).
- (algebra, ring theory, of a module) The intersection of maximal submodules of a given module.
- (linguistics) In Celtic languages, the basic, underlying form of an initial consonant which can be further mutated under the Celtic initial consonant mutations.
adj
- of or relating to or constituting a linguistic root
- (used of opinions and actions) far beyond the norm
- markedly new or introducing radical change
- especially of leaves; located at the base of a plant or stem; especially arising directly from the root or rootstock or a root-like stem
- arising from or going to the root or source
- (mathematics) Relating to a radix or mathematical root.
- Pertaining to the basic or intrinsic nature of something.
- Thoroughgoing; far-reaching.
- (slang) Excellent; awesome.
- (chemistry, not comparable) Involving free radicals.
- (lexicography, not comparable) Of or pertaining to the root of a word.
- Favoring fundamental change, or change at the root cause of a matter.
- (phonology, phonetics, not comparable, of a sound) Produced using the root of the tongue.
- (botany, not comparable) Pertaining to a root (of a plant).
verb
- (mathematics) To establish the referent of a term or notation.
- To state the meaning of a word, phrase, sign, or symbol.
- To express the essential nature of something.
- To determine with precision; to mark out with distinctness; to ascertain or exhibit clearly.
- To demark sharply the outlines or limits of an area or concept.
- To describe, explain, or make definite and clear; used to request the listener or other person to elaborate or explain more clearly his or her intended meaning of a word or expression.
- give a definition for the meaning of a word
- determine the nature of
- show the form or outline of
- decide upon or fix definitely
- determine the essential quality of
noun
noun
- (mathematics) A statement that establishes the referent of a term or notation.
- A statement expressing the essential nature of something; formulation
- A product of defining.
- Clarity, especially of musical sound in reproduction.
- (programming) A statement which provides a previous declaration with a value or body of a subroutine (in the case of function).
- (crosswording) The part of a cryptic clue which defines but does not indicate the solution.
- Clarity of visual presentation, distinctness of outline or detail.
- (usually with the definite article the) A clear instance conforming to the dictionary or textbook definition.
- (bodybuilding) The degree to which individual muscles are distinct on the body.
- The act of defining; determination of the limits.
- Sharp demarcation of outlines or limits.
- The action or process of defining.
- (semantics, lexicography) A statement of the meaning of a word, word group, sign, or symbol; especially, a dictionary definition.
- The action or power of describing, explaining, or making definite and clear.
- clarity of outline
- a concise explanation of the meaning of a word or phrase or symbol
noun
- (mathematics) An additive inverse.
- Something opposite or contrary to something else.
- An antonym.
- An opponent.
- A person or thing that is entirely different from or the reverse of someone or something else; used to show contrast between two people or two things.
- a relation of direct opposition
- something inverted in sequence or character or effect
- a contestant that you are matched against
- a word that expresses a meaning opposed to the meaning of another word, in which case the two words are antonyms of each other
adj
- Facing in the other direction.
- Located directly across from something else, or from each other.
- Of either of two complementary or mutually exclusive things.
- (botany) Of leaves and flowers, positioned directly across from each other on a stem.
- Extremely different; inconsistent; contrary; repugnant; antagonistic.
- characterized by opposite extremes; completely opposed
- the other one of a complementary pair
- moving or facing away from each other
- altogether different in nature or quality or significance
- being directly across from each other; facing
- of leaves etc.; growing in pairs on either side of a stem
adv
prep
adj
- (mathematics, linear algebra, mathematical analysis, of a matrix or operator) Whose inverse is equal to its adjoint.
- (mathematics, of an algebra) That contains an identity element.
- Having the quality of oneness.
- (government, of a system of government or administration) That concentrates power in a single body, rather than sharing it with more local bodies.
- characterized by or constituting a form of government in which power is held by one central authority
- of or pertaining to or involving the use of units
- relating to or characterized by or aiming toward unity
- having the indivisible character of a unit
noun
noun
- An exponentiation symbol or operator ⟨＾⟩.
- (nonstandard) A circumflex ⟨ ˆ ⟩.
- (nonstandard) A háček ⟨ ˇ ⟩.
- (user interface) An indicator, often a blinking line or bar and usually called a cursor, indicating where the next insertion or other edit will take place.
- A mark ⟨ ‸ ⟩ used by writers and proofreaders to indicate that something is to be inserted at that point.
- a mark used by an author or editor to indicate where something is to be inserted into a text
adj
- (mathematics) Fulfilling a relation.
- (not comparable, music) Synonym of relative.
- (not comparable, in combination) Having a relationship with the thing named.
- Being a relative of.
- Standing in relation or connection.
- Narrated; told.
- connected by kinship, common origin, or marriage
- being connected either logically or causally or by shared characteristics
verb
adj
noun
- (mathematics, countable) An imaginary number.
- Imagination; fancy.
- (sociology) The set of values, institutions, laws, and symbols common to a particular social group and the corresponding society through which people imagine their social whole.
- (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1
adj
- Of, or relating to mathematics
- (figuratively) Extremely precise and accurate, as though having the exactness of a mathematical equation.
- Possible but highly improbable
- statistically possible though highly improbable
- of or pertaining to or of the nature of mathematics
- characterized by the exactness or precision of mathematics
- relating to or having ability to think in or work with numbers
- beyond question
noun
adj
adj
noun
adj
- characterized by expression
- performing gestures or possessing qualities or features that suggest a certain state of being or emotion
- (linguistics) Conveying the speaker's emotions and/or attitudes, in addition to the denotative or literal meaning.
- Effectively conveying thought or feeling.
- (programming) Able to represent a number of ideas or concepts.
noun
- (linguistics) Any word or phrase that expresses (that the speaker, writer, or signer has) a certain attitude toward or information about the referent.
- (linguistics, more narrowly) A word or phrase, belonging to a distinct word class or having distinct morphosyntactic properties, with semantic symbolism (for example, an onomatopoeia), variously considered either a synonym, a hypernym or a hyponym of ideophone.
noun
- (countable, mathematics) An equivalence relation; ≡; ~
- (translation studies) The degree to which a term or text in one language is semantically similar to its translated counterpart.
- (uncountable, logic) The relationship between two propositions that are either both true or both false.
- (mathematics) A Boolean operation that is TRUE when both input variables are TRUE or both input variables are FALSE, but otherwise FALSE; the XNOR function.
- (geometry) A number in intersection theory. A positive-dimensional variety sometimes behaves formally as if it were a finite number of points; this number is its equivalence.
- (chemistry) The quantity of the combining power of an atom, expressed in hydrogen units; the number of hydrogen atoms can combine with, or be exchanged for; valency.
- (uncountable) The condition of being equivalent or essentially equal.
- qualities that are comparable
- a state of being essentially equal or equivalent; equally balanced
- essential equality and interchangeability
verb
noun
- a mathematical expression from which another expression is derived
- a person who belongs to an early stage of civilization
- a word serving as the basis for inflected or derived forms
- (linguistics) An original or primary word; a word not derived from another, as opposed to derivative.
- A simple-minded person.
- (mathematics) A function whose derivative is a given function; an antiderivative.
- Primitive or primeval nature; the innate, instinctive element within a person; the deep, instinctive, precultural layer of human nature.
- Natural or premodern environment or conditions; life lacking modern technology and society.
- A member of a primitive society.
- (programming) A data type that is built into the programming language, as opposed to more complex structures.
- (programming) Any of the simplest elements (instructions, statements, etc.) available in a programming language.
- A basic geometric shape from which more complex shapes can be constructed.
adj
- used of preliterate or tribal or nonindustrial societies
- little evolved from or characteristic of an earlier ancestral type
- of or created by one without formal training; simple or naive in style
- belonging to an early stage of technical development; characterized by simplicity and (often) crudeness
- Relating to an art style characterized by asymmetrical shapes and faded colors.
- Crude, obsolete.
- (mathematics) Not derived from another of the same type
- (grammar) Original; primary; radical; not derived.
- (biology) Occurring in or characteristic of an early stage of development or evolution.
- Of or pertaining to the beginning or origin, or to early times; original; primordial; primeval; first.
- Of or pertaining to or harking back to a former time; old-fashioned; characterized by simplicity.
noun
adj
- (mathematics) (said of an algebraic structure) Having an idempotent operation (in the sense given above).
- (mathematics) (said of an element of an algebraic structure with a binary operation, such as a group or semigroup) Such that, when it operates on itself, the result is equal to itself.
- (mathematics) (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above).
- (mathematics, computing) (said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed.
- unchanged in value following multiplication by itself
adj
- (mathematics) Of, or relating to algebra or a similar method of analysis.
- Of, or relating to division into elements or principles.
- (mathematical analysis) Being defined in terms of objects of differential calculus such as derivatives.
- (mathematics, of a function) Being able to be locally represented by convergent power series around every point of the domain.
- (logic, of a proposition) that follows necessarily by definition; tautologous.
- Of, or relating to any form of analysis, or to analytics.
- (linguistics) Of a language, having a grammar principally dependent on the arrangement of uninflected function words within sentences to indicate meaning.
- Having the ability to analyse.
- using or skilled in using analysis (i.e., separating a whole — intellectual or substantial — into its elemental parts or basic principles)
- using or subjected to a methodology using algebra and calculus
- expressing a grammatical category by using two or more words rather than inflection
- of a proposition that is necessarily true independent of fact or experience
noun
- (mathematics) An explementary angle.
- (algebra) More generally, any of a set of irrational or complex numbers that are zeros of the same polynomial with integral coefficients.
- (algebra, of a complex number) A complex conjugate.
- (grammar) A word agreeing in derivation with another word, and therefore generally resembling it in meaning.
- (algebra, field theory, of an element of an extension field) 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.
- (anatomy, obstetrics) A type of pelvic measurement.
- Any entity formed by joining two or more smaller entities together.
- (immunology) A weak and a strong antigen covalently linked together
- a mixture of two partially miscible liquids A and B produces two conjugate solutions: one of A in B and another of B in A
adj
- (grammar) Agreeing in derivation and radical signification; said of words.
- (botany) In single pairs; coupled.
- (chemistry) Containing two or more radicals supposed to act the part of a single one.
- United in pairs; yoked together; coupled.
- (mathematics) Presenting themselves simultaneously and having reciprocal properties; said of quantities, points, lines, axes, curves, etc.
- (of a pinnate leaflet) having only one pair of leaflets
- formed by the union of two compounds
- of an organic compound; containing two or more double bonds each separated from the other by a single bond
- joined together especially in a pair or pairs
verb
- (rare) To join together, to unite; to juxtapose.
- (biology, of bacteria and algae) To temporarily fuse, exchanging or transferring DNA.
- (grammar, transitive) To inflect (a verb) for each person, in order, for one or more tenses; to list or recite its principal parts.
- (mathematics) To multiply on the left by one element and on the right by its inverse.
- unite chemically so that the product is easily broken down into the original compounds
- undergo conjugation
- add inflections showing person, number, gender, tense, aspect, etc.
noun
- (mathematics) A number raised to the power of an exponent.
- (electronics) The name of the controlling terminal of a bipolar transistor (BJT).
- (acrobatics, cheerleading) In hand-to-hand balance, the person who supports the flyer; the person that remains in contact with the ground.
- The starting point of a logical deduction or thought; basis.
- (architecture) The lowermost part of a column, between the shaft and the pedestal or pavement.
- (group theory) A sequence of elements not jointly stabilized by any nontrivial group element.
- (topology) The set of sets from which a topology is generated.
- (heraldry) The lowest third of a shield (or field), or an ordinary occupying this space, the champagne. (Compare terrace.)
- The place where decisions for an organization are made; headquarters.
- (cooking, painting, pharmacy) A basic but essential component or ingredient.
- 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.
- (chemistry) Any of a class of generally water-soluble compounds that turn red litmus blue and react with acids to form salts.
- (aviation) Ellipsis of base leg.
- A site, structure, or both, usually durable and often permanent, for housing military personnel and materiel.
- (botany) The end of a leaf, petal or similar organ where it is attached to its support.
- (topology) A topological space, looked at in relation to one of its covering spaces, fibrations, or bundles.
- (military, historical) The smallest kind of cannon.
- (historical, sometimes in the plural) A kind of skirt (often of velvet or brocade) which hung from the middle to about the knees, or lower.
- (biology, biochemistry) A nucleotide's nucleobase in the context of a DNA or RNA biopolymer.
- (historical, sometimes in the plural) A kind of armour skirt, of mail or plate, imitating the preceding civilian skirt.
- A safe zone in the children's games of tag and hide-and-go-seek.
- (slang, uncountable) freebase cocaine
- (cosmetics) Foundation: a cosmetic cream to make the face appear uniform.
- (geometry) The lowest side of a triangle or other polygon, or the lowest face of a cone, pyramid or other polyhedron laid flat.
- (linguistics) A morpheme (or morphemes) that serves as a basic foundation on which affixes can be attached.
- (politics) A group of voters who almost always support a single party's candidates for elected office.
- Something from which other things extend; a foundation.
- (baseball) One of the four places that a runner can stand without being subject to being tagged out when the ball is in play.
- (mathematics) Synonym of radix.
- A material that holds paint or other materials together; a binder.
- A supporting, lower or bottom component of a structure or object.
- Alternative form of BASE.
- (now chiefly US, historical) The game of prisoners' bars.
- (Marxism) The forces and relations of production that produce the necessities and amenities of life.
- A substance used as a mordant in dyeing.
- lowest support of a structure
- (electronics) the part of a transistor that separates the emitter from the collector
- the fundamental assumptions from which something is begun or developed or calculated or explained
- the place where you are stationed and from which missions start and end
- (numeration system) the positive integer that is equivalent to one in the next higher counting place
- a phosphoric ester of a nucleoside; the basic structural unit of nucleic acids (DNA or RNA)
- the stock of basic facilities and capital equipment needed for the functioning of a country or area
- the bottom or lowest part
- a place that the runner must touch before scoring
- a support or foundation
- the principal ingredient of a mixture
- any of various water-soluble compounds capable of turning litmus blue and reacting with an acid to form a salt and water
- installation from which a military force initiates operations
- (linguistics) the form of a word after all affixes are removed
- a lower limit
- the most important or necessary part of something
- (anatomy) the part of an organ nearest its point of attachment
- the bottom side of a geometric figure from which the altitude can be constructed
- a flat bottom on which something is intended to sit
adj
- Not classical or correct.
- Morally reprehensible, immoral; cowardly.
- Low in place or position.
- Alloyed with inferior metal; debased.
- (law) Relating to feudal land tenure held by a tenant from a lord in exchange for services that are seen as unworthy for noblemen to perform, such as villeinage.
- (of a metal) Not considered precious or noble.
- (used of metals) consisting of or alloyed with inferior metal
- of low birth or station (‘base’ is archaic in this sense)
- illegitimate
- serving as or forming a base
- not adhering to ethical or moral principles
- debased; not genuine
- having or showing an ignoble lack of honor or morality
verb
- (transitive) To give as its foundation or starting point; to lay the foundation of.
- (slang) To freebase.
- (acrobatics, cheerleading) To act as a base; to be the person supporting the flyer.
- (transitive) To be located (at a particular place).
- situate as a center of operations
- use (purified cocaine) by burning it and inhaling the fumes
- use as a basis for; found on
noun
- (mathematics) a quantity expressed as the root of another quantity
- a character conveying the lexical meaning of a logogram
- (linguistics) the form of a word after all affixes are removed
- an atom or group of atoms with at least one unpaired electron; in the body it is usually an oxygen molecule that has lost an electron and will stabilize itself by stealing an electron from a nearby molecule
- (chemistry) two or more atoms bound together as a single unit and forming part of a molecule
- a person who has radical ideas or opinions
- (linguistics) In logographic writing systems such as the Chinese writing system, the portion of a character (if any) that provides an indication of its meaning, as opposed to phonetic.
- (organic chemistry) A free radical.
- (chemistry) A group of atoms, joined by covalent bonds, that take part in reactions as a single unit.
- (algebra, commutative algebra, ring theory, of an ideal) Given an ideal I in a commutative ring R, another ideal, denoted Rad(I) or √, such that an element x ∈ R is in Rad(I) if, for some positive integer n, xⁿ ∈ I; equivalently, the intersection of all prime ideals containing I.
- A person with radical opinions.
- (number theory) The product of the distinct prime factors of a given positive integer.
- (arithmetic) A root (of a number or quantity).
- (historical, early 20th-century France) A member of an influential, centrist political party favouring moderate social reform, a republican constitution, and secular politics.
- (linguistics) In Semitic languages, any one of the set of consonants (typically three) that make up a root.
- (algebra, ring theory, of a ring) Given a ring R, an ideal containing elements of R that share a property considered, in some sense, "not good".
- (historical, 19th-century Britain, politics) A member of the most progressive wing of the Liberal Party; someone favouring social reform (but generally stopping short of socialism).
- (algebra, ring theory, of a module) The intersection of maximal submodules of a given module.
- (linguistics) In Celtic languages, the basic, underlying form of an initial consonant which can be further mutated under the Celtic initial consonant mutations.
adj
- of or relating to or constituting a linguistic root
- (used of opinions and actions) far beyond the norm
- markedly new or introducing radical change
- especially of leaves; located at the base of a plant or stem; especially arising directly from the root or rootstock or a root-like stem
- arising from or going to the root or source
- (mathematics) Relating to a radix or mathematical root.
- Pertaining to the basic or intrinsic nature of something.
- Thoroughgoing; far-reaching.
- (slang) Excellent; awesome.
- (chemistry, not comparable) Involving free radicals.
- (lexicography, not comparable) Of or pertaining to the root of a word.
- Favoring fundamental change, or change at the root cause of a matter.
- (phonology, phonetics, not comparable, of a sound) Produced using the root of the tongue.
- (botany, not comparable) Pertaining to a root (of a plant).
noun
- (mathematics) A statement that establishes the referent of a term or notation.
- A statement expressing the essential nature of something; formulation
- A product of defining.
- Clarity, especially of musical sound in reproduction.
- (programming) A statement which provides a previous declaration with a value or body of a subroutine (in the case of function).
- (crosswording) The part of a cryptic clue which defines but does not indicate the solution.
- Clarity of visual presentation, distinctness of outline or detail.
- (usually with the definite article the) A clear instance conforming to the dictionary or textbook definition.
- (bodybuilding) The degree to which individual muscles are distinct on the body.
- The act of defining; determination of the limits.
- Sharp demarcation of outlines or limits.
- The action or process of defining.
- (semantics, lexicography) A statement of the meaning of a word, word group, sign, or symbol; especially, a dictionary definition.
- The action or power of describing, explaining, or making definite and clear.
- clarity of outline
- a concise explanation of the meaning of a word or phrase or symbol
noun
- (mathematics) An additive inverse.
- Something opposite or contrary to something else.
- An antonym.
- An opponent.
- A person or thing that is entirely different from or the reverse of someone or something else; used to show contrast between two people or two things.
- a relation of direct opposition
- something inverted in sequence or character or effect
- a contestant that you are matched against
- a word that expresses a meaning opposed to the meaning of another word, in which case the two words are antonyms of each other
adj
- Facing in the other direction.
- Located directly across from something else, or from each other.
- Of either of two complementary or mutually exclusive things.
- (botany) Of leaves and flowers, positioned directly across from each other on a stem.
- Extremely different; inconsistent; contrary; repugnant; antagonistic.
- characterized by opposite extremes; completely opposed
- the other one of a complementary pair
- moving or facing away from each other
- altogether different in nature or quality or significance
- being directly across from each other; facing
- of leaves etc.; growing in pairs on either side of a stem
adv
prep
noun
- An exponentiation symbol or operator ⟨＾⟩.
- (nonstandard) A circumflex ⟨ ˆ ⟩.
- (nonstandard) A háček ⟨ ˇ ⟩.
- (user interface) An indicator, often a blinking line or bar and usually called a cursor, indicating where the next insertion or other edit will take place.
- A mark ⟨ ‸ ⟩ used by writers and proofreaders to indicate that something is to be inserted at that point.
- a mark used by an author or editor to indicate where something is to be inserted into a text
noun
adj
noun
- (countable, mathematics) An equivalence relation; ≡; ~
- (translation studies) The degree to which a term or text in one language is semantically similar to its translated counterpart.
- (uncountable, logic) The relationship between two propositions that are either both true or both false.
- (mathematics) A Boolean operation that is TRUE when both input variables are TRUE or both input variables are FALSE, but otherwise FALSE; the XNOR function.
- (geometry) A number in intersection theory. A positive-dimensional variety sometimes behaves formally as if it were a finite number of points; this number is its equivalence.
- (chemistry) The quantity of the combining power of an atom, expressed in hydrogen units; the number of hydrogen atoms can combine with, or be exchanged for; valency.
- (uncountable) The condition of being equivalent or essentially equal.
- qualities that are comparable
- a state of being essentially equal or equivalent; equally balanced
- essential equality and interchangeability
verb
noun
- a mathematical expression from which another expression is derived
- a person who belongs to an early stage of civilization
- a word serving as the basis for inflected or derived forms
- (linguistics) An original or primary word; a word not derived from another, as opposed to derivative.
- A simple-minded person.
- (mathematics) A function whose derivative is a given function; an antiderivative.
- Primitive or primeval nature; the innate, instinctive element within a person; the deep, instinctive, precultural layer of human nature.
- Natural or premodern environment or conditions; life lacking modern technology and society.
- A member of a primitive society.
- (programming) A data type that is built into the programming language, as opposed to more complex structures.
- (programming) Any of the simplest elements (instructions, statements, etc.) available in a programming language.
- A basic geometric shape from which more complex shapes can be constructed.
adj
- used of preliterate or tribal or nonindustrial societies
- little evolved from or characteristic of an earlier ancestral type
- of or created by one without formal training; simple or naive in style
- belonging to an early stage of technical development; characterized by simplicity and (often) crudeness
- Relating to an art style characterized by asymmetrical shapes and faded colors.
- Crude, obsolete.
- (mathematics) Not derived from another of the same type
- (grammar) Original; primary; radical; not derived.
- (biology) Occurring in or characteristic of an early stage of development or evolution.
- Of or pertaining to the beginning or origin, or to early times; original; primordial; primeval; first.
- Of or pertaining to or harking back to a former time; old-fashioned; characterized by simplicity.
noun
adj
- (mathematics) (said of an algebraic structure) Having an idempotent operation (in the sense given above).
- (mathematics) (said of an element of an algebraic structure with a binary operation, such as a group or semigroup) Such that, when it operates on itself, the result is equal to itself.
- (mathematics) (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above).
- (mathematics, computing) (said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed.
- unchanged in value following multiplication by itself
adj
- Relating to an exponent.
- 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.
- (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
verb
- (arithmetic) To exponentiate, to involute.
- (figurative) To cause (a dead person) to live again; to resurrect.
- (metalworking, transitive) To emboss (sheet metal), or to form it into cup-shaped or hollow articles, by hammering, stamping, or spinning.
- To cause something to come to the surface of water.
- Misspelling of raze.
- (law) To create; to constitute (a use, or a beneficial interest in property).
- To establish contact with (e.g., by telephone or radio).
- To bring into being; to produce; to cause to arise, come forth, or appear.
- (physical) To cause to rise; to lift or elevate.
- (nautical) To cause (the land or any other object) to seem higher by drawing nearer to it.
- To collect or amass.
- (linguistics, transitive, of a vowel) To produce a vowel with the tongue positioned closer to the roof of the mouth.
- To increase the nominal value of (a cheque, money order, etc.) by fraudulently changing the writing or printing in which the sum payable is specified.
- (India, transitive) To open, initiate.
- To promote.
- (military, transitive) To relinquish (a siege), or cause this to be done.
- (poker, intransitive) To respond to a bet by increasing the amount required to continue in the hand.
- To form by the accumulation of materials or constituent parts; to build up; to erect.
- To mention (a question, issue) for discussion.
- (linguistics, transitive, of a verb) To extract (a subject or other verb argument) out of an inner clause.
- (transitive) To create, increase or develop.
- (military) To remove or break up (a blockade), either by withdrawing the ships or forces employed in enforcing it, or by driving them away or dispersing them.
- To bring up; to grow.
- (programming, transitive) To instantiate and transmit (an exception, by throwing it, or an event).
- To make (bread, etc.) light, as by yeast or leaven.
- raise in rank or condition
- summon into action or bring into existence, often as if by magic
- put forward for consideration or discussion
- give a promotion to or assign to a higher position
- increase the level of
- put an end to a situation
- bid (one's partner's suit) at a higher level
- bring (a surface or a design) into relief and cause to project
- bet more than the previous player
- create a disturbance, especially by making a great noise
- collect funds for a specific purpose
- cause to be heard or known; express or utter
- move upwards
- call forth (emotions, feelings, and responses)
- cause to become alive again
- cause to puff up with a leaven
- raise the level or amount of something
- activate or stir up
- multiply (a number) by itself a specified number of times: 8 is 2 raised to the power 3
- invigorate or heighten
- establish radio communications with
- raise from a lower to a higher position
- construct, build, or erect
- cultivate by growing, often involving improvements by means of agricultural techniques
- pronounce (vowels) by bringing the tongue closer to the roof of the mouth
- register formally as a participant or member
- look after a child until it is an adult
- cause to assemble or enlist in military
noun
- (curling) A shot in which the delivered stone bumps another stone forward.
- (weightlifting) A shoulder exercise in which the arms are elevated against resistance.
- (mining) A shaft or a winze that is dug from below, for purposes such as ventilation, local extraction of ore, or exploration.
- A cairn or pile of stones.
- (poker) A bet that increases the previous bet.
- (US) Ellipsis of pay raise (“an increase in wages or salary”).
- increasing the size of a bet (as in poker)
- the act of raising something
- an upward slope or grade (as in a road)
- the amount a salary is increased
verb
- (mathematics) To establish the referent of a term or notation.
- To state the meaning of a word, phrase, sign, or symbol.
- To express the essential nature of something.
- To determine with precision; to mark out with distinctness; to ascertain or exhibit clearly.
- To demark sharply the outlines or limits of an area or concept.
- To describe, explain, or make definite and clear; used to request the listener or other person to elaborate or explain more clearly his or her intended meaning of a word or expression.
- give a definition for the meaning of a word
- determine the nature of
- show the form or outline of
- decide upon or fix definitely
- determine the essential quality of
noun
adj
- Relating to an exponent.
- 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.
- (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
adj
- of or relating to the multiplicative inverse of a quantity or function
- concerning each of two or more persons or things; especially given or done in return
- Done, given, felt, or owed in return.
- Mutually interchangeable.
- (grammar) Expressing mutual action, applied to pronouns and verbs; also in a broad sense: reflexive.
- Of a feeling, action or such: mutual, uniformly felt or done by each party towards the other or others; two-way.
- (mathematics) Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities.
noun
- something (a term or expression or concept) that has an inverse relation to something else
- (mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7
- hybridization involving a pair of crosses that reverse the sexes associated with each genotype
- (grammar) A construction expressing mutual action.
- (arithmetic) The number obtained by dividing 1 by another given number; the result of exchanging the numerator and the denominator of a fraction.
adj
- Of, or relating to, algebra.
- of or relating to algebra
- (algebra, of a field) Whose every element is a root of some polynomial whose coefficients are rational.
- (chess, of notation) Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective.
- (algebra, number theory, of a number) Which is a root of some polynomial whose coefficients are rational.
- (mathematics, of an expression, equation, or function) Containing only numbers, letters, and arithmetic operators.
adj
- of or denoted by an integer
- (mathematics) Of, pertaining to, or being an integer.
- constituting the undiminished entirety; lacking nothing essential especially not damaged
- existing as an essential constituent or characteristic
- Constituting a whole together with other parts or factors; not omittable or removable.
- (mathematics) Relating to integration (“the process of finding the integral [noun] of a function”).
- (algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A.
noun
- the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
- (mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
- (mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
- (specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
- (mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
adj
- (mathematics) Relating to the corresponding elements of an equivalence relation.
- (cartography) Of a map, equal-area.
- (geometry) Equal in measure but not admitting of superposition; applied to magnitudes.
- (mathematics, category theory) Of two categories, (informally) such that one is essentially a relabeling of the other; (formally) related by a pair of functors such the composition of the one with the other is naturally isomorphic to the identity functor.
- (chemistry) Having the equal ability to combine.
- Similar or identical in value, meaning or effect; virtually equal.
- (mathematics) Of two sets, having a one-to-one correspondence.
- being essentially equal to something
noun
- Anything that is virtually equal to something else, or has the same value, force, etc.
- (chemistry) An equivalent weight.
- a person or thing equal to another in value or measure or force or effect or significance etc
- the atomic weight of an element that has the same combining capacity as a given weight of another element; the standard is 8 for oxygen
verb
adj
- (mathematics, linear algebra, mathematical analysis, of a matrix or operator) Whose inverse is equal to its adjoint.
- (mathematics, of an algebra) That contains an identity element.
- Having the quality of oneness.
- (government, of a system of government or administration) That concentrates power in a single body, rather than sharing it with more local bodies.
- characterized by or constituting a form of government in which power is held by one central authority
- of or pertaining to or involving the use of units
- relating to or characterized by or aiming toward unity
- having the indivisible character of a unit
noun
adj
- (mathematics) Fulfilling a relation.
- (not comparable, music) Synonym of relative.
- (not comparable, in combination) Having a relationship with the thing named.
- Being a relative of.
- Standing in relation or connection.
- Narrated; told.
- connected by kinship, common origin, or marriage
- being connected either logically or causally or by shared characteristics
verb
adj
noun
- (mathematics, countable) An imaginary number.
- Imagination; fancy.
- (sociology) The set of values, institutions, laws, and symbols common to a particular social group and the corresponding society through which people imagine their social whole.
- (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1
adj
- Of, or relating to mathematics
- (figuratively) Extremely precise and accurate, as though having the exactness of a mathematical equation.
- Possible but highly improbable
- statistically possible though highly improbable
- of or pertaining to or of the nature of mathematics
- characterized by the exactness or precision of mathematics
- relating to or having ability to think in or work with numbers
- beyond question
adj
noun
adj
- characterized by expression
- performing gestures or possessing qualities or features that suggest a certain state of being or emotion
- (linguistics) Conveying the speaker's emotions and/or attitudes, in addition to the denotative or literal meaning.
- Effectively conveying thought or feeling.
- (programming) Able to represent a number of ideas or concepts.
noun
- (linguistics) Any word or phrase that expresses (that the speaker, writer, or signer has) a certain attitude toward or information about the referent.
- (linguistics, more narrowly) A word or phrase, belonging to a distinct word class or having distinct morphosyntactic properties, with semantic symbolism (for example, an onomatopoeia), variously considered either a synonym, a hypernym or a hyponym of ideophone.
adj
- (mathematics) Of, or relating to algebra or a similar method of analysis.
- Of, or relating to division into elements or principles.
- (mathematical analysis) Being defined in terms of objects of differential calculus such as derivatives.
- (mathematics, of a function) Being able to be locally represented by convergent power series around every point of the domain.
- (logic, of a proposition) that follows necessarily by definition; tautologous.
- Of, or relating to any form of analysis, or to analytics.
- (linguistics) Of a language, having a grammar principally dependent on the arrangement of uninflected function words within sentences to indicate meaning.
- Having the ability to analyse.
- using or skilled in using analysis (i.e., separating a whole — intellectual or substantial — into its elemental parts or basic principles)
- using or subjected to a methodology using algebra and calculus
- expressing a grammatical category by using two or more words rather than inflection
- of a proposition that is necessarily true independent of fact or experience
noun
adj
- (mathematics) (said of an algebraic structure) Having an idempotent operation (in the sense given above).
- (mathematics) (said of an element of an algebraic structure with a binary operation, such as a group or semigroup) Such that, when it operates on itself, the result is equal to itself.
- (mathematics) (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above).
- (mathematics, computing) (said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed.
- unchanged in value following multiplication by itself