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noun
- (mathematics, programming) Abbreviation of modulus.
- (Internet slang, originally Twitch-speak, humorous, in the plural) Used to express a wish of removal or, often hyperbolic, harm (as opposed to a literal request to moderators).
- A festival of Scottish Gaelic song, arts and culture, akin to the Welsh eisteddfod.
- (video games) An end user-created package containing modifications to the look or behaviour of a video game.
- (Internet) A moderator, for example on a discussion forum.
- (computing, informal) A module (file containing a tracker music sequence).
- (politics) Abbreviation of moderate.
- (in the plural, Oxford University, informal) Moderations: university examinations generally taken in the first year.
- (climbing) A moderately difficult route.
- (uncountable) An unconventionally modern style of fashionable dress originating in England in the 1960s, characterized by ankle-length black trenchcoats and sunglasses.
- (UK) A 1960s British person who dressed in such a style and was interested in modernism and the modern music of the time; the opposite of a rocker.
- (statistics) Abbreviation of mode.
- (informal) Clipping of modification.
- a British teenager or young adult in the 1960s; noted for their clothes consciousness and opposition to the rockers
adj
verb
- (transitive, Internet, informal) To moderate; to silence or punish (a rule-breaking user) on a forum, especially when done by a moderator.
- (transitive, informal) To modify (an object) from its original condition, typically to individualize and/or enhance the performance of the object.
- (video games) To install or create a mod.
adj
- (mathematics) Specified, noted.
- Having a dignified appearance or demeanor.
- celebrated, well-known or eminent because of achievements or rank; prestigious.
- (used of persons) standing above others in character or attainment or reputation
- used of a person's appearance or behavior; befitting an eminent person
verb
adj
noun
verb
noun
- (modular arithmetic) A representative element of an equivalence class modulo some base, conventionally in the half-open interval from zero to the base; the nonnegative remainder after dividing a number by a base.
- (biochemistry) A molecule that is released from a polymer after bonds between neighbouring monomers are broken, such as an amino acid in a polypeptide chain.
- (law) Whatever property or effects are left in an estate after payment of all debts, other charges and deduction of what is specifically bequeathed by the testator.
- (chemistry) The substance that remains after evaporation, distillation, filtration or any similar process.
- (complex analysis) A form of complex number, proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities.
- That which persists or remains following the removal or elimination of other elements.
- something left after other parts have been taken away
- matter that remains after something has been removed
noun
- (number theory) Given a modulus n, a number g such that every number coprime to n is congruent (modulo n) to some power of g; equivalently, a generator of the multiplicative field of integers modulo n.
- (algebra, lattice theory, of a lattice) An element that is not a positive integer multiple of another element of the lattice.
- (algebra, field theory) An element that generates a simple extension.
- (algebra, of a coalgebra over an element g) An element x ∈ C such that μ(x) = x ⊗ g + g ⊗ x, where μ is the comultiplication and g is an element that maps to the multiplicative identity 1 of the base field under the counit (in particular, if C is a bialgebra, g = 1).
- (group theory, of a free group) An element of a free generating set of a given free group.
- (algebra, field theory, of a finite field) An element that generates the multiplicative group of a given Galois field (finite field).
noun
- (algebra, ring theory, of a module) The intersection of maximal submodules of a given module.
- (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).
- (linguistics) In Celtic languages, the basic, underlying form of an initial consonant which can be further mutated under the Celtic initial consonant mutations.
- 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
- (mathematics) a quantity expressed as the root of another quantity
- a person who has radical ideas or opinions
adj
- (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).
- 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
noun
verb
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
prep
- (mathematics) Generated by.
- To the account or detriment of; denoting imprecation or invocation, or coming to, falling, or resting upon.
- At or in (a geographical location or position).
- At (a relative spatial position).
- Engaged in or occupied with (an action or activity).
- Serving as a member of.
- Under the influence of (a drug, or something that is causing drug-like effects).
- Indicating the target of, or thing affected by, an event or action.
- (snooker) In a position of being able to pot (a given ball).
- (also often 'upon') Arrived or coming into the presence of.
- Toward; for; indicating the object of an emotion.
- At (an instant or cusp).
- Aboard (a mode of transport, especially public transport, or transport that one sits astride or uses while standing).
- Expressing figurative placement, burden, or attachment.
- At (a certain position within a sequence).
- Denoting performance or action by contact with the surface, upper part, or outside of anything By means of; with.
- Covering.
- (mathematics) Having Vⁿ as domain and V as codomain, for the specified set V and some integer n.
- In addition to; besides; indicating multiplication or succession in a series.
- (mathematics, uncommon) Divided by.
- (especially Ireland) Indicating the person experiencing an emotion, cold, thirst, hunger, etc.
- (UK) At (a certain value or level).
- With verbs describing an action of pushing, pulling, pressing, etc., designates the thing to which force is applied.
- (also often 'upon') At the time of (and often because of).
- (UK dialectal, Scotland) Without.
- Positioned at the upper surface of, touching from above.
- Because of; upon the basis of (something not yet confirmed as true).
- (informal) In the possession of.
- Positioned at or resting against the outer surface of; attached to.
- (philosophy, logic) According to, from the standpoint of; (expressing what must follow, whether accepted or not, if a given premise or system is assumed true).
- (UK, especially in sports reporting) At (a given time after the start of something).
- Near; adjacent to; alongside; just off.
- Paid for by.
- Regularly taking (a drug).
- (especially when numbers of combatants or competitors are specified) Against; in opposition to.
- At or during the date or day of.
- (mathematics) Having as identical domain and codomain.
- (nautical) In the direction of (some part of one's vessel), to within 45 degrees.
- Indicating dependence or reliance.
- Indicating a means of subsistence or sustenance.
- By virtue of; with the pledge of.
- (informal, chiefly in set phrases) Ellipsis of I swear on: on my life, on God, on everything, etc.
- Indicating a means or medium.
- Dealing with the subject of; about; concerning.
- With verbs describing an action of hitting, rubbing, scratching, binding against, etc., designates the thing impacted or contacted.
- Supported by (the specified part of itself).
adj
- (euphemistic) Menstruating.
- (chiefly UK, informal, chiefly in the negative) Acceptable, appropriate.
- (snooker, postpositive) Of a ball, being the next in sequence to be potted, according to the rules of the game.
- In the state of being active, functioning or operating.
- Happening; taking place; being or due to be put into action.
- (informal) Of a person, used to express agreement to or acceptance of a proposal or challenge made by that person; most commonly with subject "you" (see you're on).
- (acting, drama, roleplaying games) Acting in character.
- (chiefly in the negative) Possible; capable of being successfully carried out.
- Fitted; covering or being worn.
- (cricket) Within the half of the field on the same side as the batsman's legs; the left side for a right-handed batsman.
- (baseball, informal) Having reached a base as a runner and being positioned there, awaiting further action from a subsequent batter.
- (informal, of a person) Performative or funny in a wearying manner.
- (e.g. of points in a game) Available; remaining.
- (postpositive) Of a stated part of something, oriented towards the viewer or other specified direction.
- in operation or operational
- (of events) planned or scheduled
adv
- (infrequent in the US) Later.
- In continuation, at length.
- So as to cover or be fitted.
- (snooker) Of a ball, into a pottable position.
- Of betting odds, denoting a better-than-even chance. See also odds-on.
- Along, forwards (continuing an action), onwards.
- To an operating state.
- indicates continuity or persistence or concentration
- in a state required for something to function or be effective
- with a forward motion
noun
verb
adj
- (algebra, of a module) Finitely generated and such that all finitely generated submodules are finitely presented.
- Aesthetically ordered.
- (algebra, of a ring) Such that every finitely generated (left) ideal is finitely presented.
- Having a natural or due agreement of parts; harmonious: a coherent design.
- (mathematics, sheaf theory, of a sheaf) Belonging to a specific class of sheaves having particularly manageable properties closely linked to the geometrical properties of the underlying space. See Coherent sheaf on Wikipedia.Wikipedia
- Orderly, logical and consistent.
- Unified; sticking together; making up a whole.
- (botany) Attaching or pressing against an organ of the same nature.
- (topology, of a topology 𝒯 on a set T with respect to a family C_a of subsets of T) In a technical sense, determined by the (topology of) the subsets. Formally, Such that 𝒯 is the finest topology on T for which the inclusion maps ιₐ:C_a→T are continuous, where each C_a is considered with its subspace topology.
- (physics) Of waves having the same direction, wavelength and phase, as light in a laser.
- marked by an orderly, logical, and aesthetically consistent relation of parts
- (physics) of waves having a constant phase relation
- sticking together
- capable of thinking and expressing yourself in a clear and consistent manner
noun
- (mathematics) Mathematical morphology.
- (linguistics) The study of the internal structure of morphemes (words and their semantic building blocks).
- (countable) The form and structure of something.
- (geology) The study of the structure of rocks and landforms.
- (biology) The study of the form and structure of animals and plants.
- (countable) A description of the form and structure of something.
- studies of the rules for forming admissible words
- the admissible arrangement of sounds in words
- the branch of geology that studies the characteristics and configuration and evolution of rocks and land forms
- the branch of biology that deals with the structure of animals and plants
verb
- (generally, of an algebraic structure) To be expressable as a direct sum of sub-modules, -algebras, etc.
- (algebra, transitive and intransitive, acts on a polynomial) To factor into linear factors.
- (transitive, intransitive, slang) To leave.
- (sports, especially baseball) For both teams involved in a doubleheader to win one game each and lose another.
- (intransitive, of a couple) To separate.
- (of an object which expresses the relationship between algebraic structures, particularly a short exact sequence) To contain an object which may be so expressed.
- (transitive) To share; to divide.
- To be broken; to be dashed to pieces.
- (ambitransitive) To (cause to) break up; to throw into discord.
- (intransitive, of something solid, particularly wood) To break along the grain fully or partly along a more or less straight line.
- (intransitive) To burst out laughing.
- (transitive, ergative, of something solid) To divide fully or partly along a more or less straight line.
- (intransitive, politics) To vote for candidates of opposite parties.
- come open suddenly and violently, as if from internal pressure
- discontinue an association or relation; go different ways
- go one's own way; move apart
- separate or cut with a tool, such as a sharp instrument
- separate into parts or portions
adj
- (stock exchange, historical, of quotations) Given in sixteenths rather than eighths.
- (London stock exchange) Designating ordinary stock that has been divided into preferred ordinary and deferred ordinary.
- Divided.
- (algebra, of a short exact sequence) Having the middle object (group, module, etc.) equal to the direct sum of the others.
- (of coffee) Comprising half decaffeinated and half caffeinated espresso.
- (stock exchange, of an order, sale, etc.) Divided so as to be done or executed part at one time or price and part at another time or price.
- (especially of wood) cut or ripped longitudinally with the grain
- having been divided; having the unity destroyed
noun
- A crack or longitudinal fissure.
- A dessert or confection resembling a banana split.
- (bowling) A result of a first throw that leaves two or more pins standing with one or more pins between them knocked down.
- (baseball, slang) A split-finger fastball.
- A bottle of wine containing 37.5 centiliters, half the volume of a standard 75-centiliter bottle; a demi.
- (bodybuilding) A workout routine as seen by its distribution of muscle groups or the extent and manner they are targeted in a microcycle.
- A breach or separation, as in a political party; a division.
- A unit of measure used for champagne or other spirits: 18.75 centiliters or one quarter of a standard 75-centiliter bottle. Commercially comparable to ¹⁄₂₀ (US) gallon, which is ¹⁄₂ of a fifth.
- (gymnastics, cheerleading, dance, usually in the phrase "to do the splits") A maneuver of spreading or sliding the feet apart until the legs are flat on the floor 180 degrees apart, either sideways to the body or with one leg in front and one behind, thus lowering the body completely to the floor in an upright position.
- (systematics) The division of a single taxon into two or more taxa; as opposed to a lump.
- A piece that is split off, or made thin, by splitting; a splinter; a fragment.
- (construction) A tear resulting from tensile stresses.
- (music) A recording containing songs by multiple artists; a split single or split album.
- (gambling) A division of a stake happening when two cards of the kind on which the stake is laid are dealt in the same turn.
- A split shot or split stroke.
- (athletics, speedrunning) The elapsed time at specific intermediate points in a race or speedrun.
- (leather manufacture) One of the sections of a skin made by dividing it into two or more thicknesses.
- a promised or claimed share of loot or money
- a dessert of sliced fruit and ice cream covered with whipped cream and cherries and nuts
- (tenpin bowling) a divided formation of pins left standing after the first bowl
- a lengthwise crack in wood
- a bottle containing half the usual amount
- the act of rending or ripping or splitting something
- extending the legs at right angles to the trunk (one in front and the other in back)
- an increase in the number of outstanding shares of a corporation without changing the shareholders' equity
- an opening made forcibly as by pulling apart
- division of a group into opposing factions
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
noun
- (mathematics) The set of all things considered.
- A whole world, in the sense of perspective or social setting.
- (literature, films) A collection of stories with characters and settings that typically share a continuity but are less interrelated than those of sequels or prequels.
- Everything under consideration.
- (pantheism) A deity who is equivalent to the sum of everything that exists in the cosmos.
- The sum of everything that exists in the cosmos.
- An entity similar to our universe; one component of a larger entity known as the multiverse.
- An imaginary collection of worlds; the general imaginary world within which a work of fiction takes place, broader than its immediate setting.
- (statistics, psychometrics) The set of all admissible observations.
- (marketing, economics) A sample taken from the population.
- everything that exists anywhere
- everything stated or assumed in a given discussion
- (statistics) the entire aggregation of items from which samples can be drawn
name
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
- Relating to an exponent.
- (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.
- of or involving exponents
noun
noun
- (mathematics) A way in which each element of some algebraic structure transforms some other structure or set, in a way which respects the structure of the first. Formally, this may be seen as a morphism from the first structure into some structure of endomorphisms of the second; for example, a group action of a group G on a set S can be seen as a group homomorphism from G into the set of bijections on S (which form a group under function composition), while a module M over a ring R can be defined as an abelian group together with a ring homomorphism from R into the ring of group endomorphisms of M (which is also called the action of R on M).
- (Misesian praxeology, Austrian economics) Purposeful behavior.
- (military) Combat.
- A way of motion or functioning.
- The effort of performing or doing something.
- (slang, typically with a quantifier) Sexual intercourse.
- (music, lutherie) The distance separating the strings and the fingerboard on a string instrument.
- A demonstration by activists.
- Something done, often so as to accomplish a purpose.
- The way in which a mechanical device acts when used; especially a firearm.
- (law) A charge or other process in a law court (also called lawsuit and actio).
- (sciences) A process existing in or produced by nature (rather than by the intent of human beings).
- Fast-paced activity.
- (art, painting and sculpture) The attitude or position of the several parts of the body as expressive of the sentiment or passion depicted.
- (music) The mechanism, that is the set of moving mechanical parts, of a keyboard instrument, like a piano, which transfers the motion of the key to the sound-making device.
- (Christianity) A religious performance or solemn function, i.e. action sermon, a sacramental sermon in the Scots Presbyterian Church.
- (physics) The product of energy and time, especially the product of the Lagrangian and time.
- (bowling) spin put on the bowling ball.
- (firearms) The way in which cartridges are loaded, locked, and extracted from the mechanism.
- (literature) The event or connected series of events, either real or imaginary, forming the subject of a play, poem, or other composition; the unfolding of the drama of events.
- something done (usually as opposed to something said)
- the operating part that transmits power to a mechanism
- In firearms terminology, the mechanism that handles the ammunition (loads, locks, fires, and extracts the cartridges).
- the trait of being active and energetic and forceful
- the series of events that form a plot
- the most important or interesting work or activity in a specific area or field
- the state of being active
- a military engagement
- a judicial proceeding brought by one party against another; one party prosecutes another for a wrong done or for protection of a right or for prevention of a wrong
- an act by a government body or supranational organization
- a process existing in or produced by nature (rather than by the intent of human beings)
adj
intj
verb
noun
- (mathematics) Initialism of mathematical morphology.
- (audio, electronics) Initialism of moving magnet, a type of phono cartridge.
- Initialism of man-month.
- (Freemasonry) Initialism of Master Mason.
- (finance) Initialism of market maker.
- (numismatic slang) Initialism of mintmark.
- (aviation) Initialism of middle marker.
- plural of M (“Monsieur”)
- Initialism of mile marker.
- (finance) Abbreviation of million.
- (education) Initialism of Master of Music.
- (education) Initialism of Master of Management.
- (philately) Initialism of mounted mint.
- (amateur radio) Initialism of maritime mobile.
- (operating systems) Initialism of memory management.
name
num
adj
- (module theory, of a module) In which each submodule is a direct summand; equivalently, equal to a direct sum of simple submodules.
- (representation theory, of a linear representation of a group or algebra) Being a direct sum of simple representations (also known as irreducible representations).
- (ring theory, of an algebra or ring) Semisimple as a module over itself; equivalently, such that all (left) modules are semisimple.
- (category theory, most generally, of an abelian category) Containing a collection of simple objects such that all objects in the category are direct sums of these simple objects.
- (Lie theory, of a Lie algebra) Being a direct sum of simple Lie algebras.
- (linear algebra, of an operator or matrix) For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree.
- (group theory, of an algebraic group) Being a linear algebraic group whose radical of the identity component is trivial.
- (of a ring, somewhat proscribed) Semiprimitive: having trivial Jacobson radical.
noun
- (approximation theory, numerical analysis, of a function) The quantity measured by the modulus of smoothness.
- (mathematical analysis, of a function) The highest order of derivative (the differentiability class) over a given domain.
- The condition of being smooth; the degree or measure of said condition.
- the quality of having a level and even surface
- the quality of being free from errors or interruptions
- powerful and effective language
- the quality of being bland and gracious or ingratiating in manner
- a texture without roughness; smooth to the touch
noun
- (mathematics, programming) Abbreviation of modulus.
- (Internet slang, originally Twitch-speak, humorous, in the plural) Used to express a wish of removal or, often hyperbolic, harm (as opposed to a literal request to moderators).
- A festival of Scottish Gaelic song, arts and culture, akin to the Welsh eisteddfod.
- (video games) An end user-created package containing modifications to the look or behaviour of a video game.
- (Internet) A moderator, for example on a discussion forum.
- (computing, informal) A module (file containing a tracker music sequence).
- (politics) Abbreviation of moderate.
- (in the plural, Oxford University, informal) Moderations: university examinations generally taken in the first year.
- (climbing) A moderately difficult route.
- (uncountable) An unconventionally modern style of fashionable dress originating in England in the 1960s, characterized by ankle-length black trenchcoats and sunglasses.
- (UK) A 1960s British person who dressed in such a style and was interested in modernism and the modern music of the time; the opposite of a rocker.
- (statistics) Abbreviation of mode.
- (informal) Clipping of modification.
- a British teenager or young adult in the 1960s; noted for their clothes consciousness and opposition to the rockers
adj
verb
- (transitive, Internet, informal) To moderate; to silence or punish (a rule-breaking user) on a forum, especially when done by a moderator.
- (transitive, informal) To modify (an object) from its original condition, typically to individualize and/or enhance the performance of the object.
- (video games) To install or create a mod.
noun
- (modular arithmetic) A representative element of an equivalence class modulo some base, conventionally in the half-open interval from zero to the base; the nonnegative remainder after dividing a number by a base.
- (biochemistry) A molecule that is released from a polymer after bonds between neighbouring monomers are broken, such as an amino acid in a polypeptide chain.
- (law) Whatever property or effects are left in an estate after payment of all debts, other charges and deduction of what is specifically bequeathed by the testator.
- (chemistry) The substance that remains after evaporation, distillation, filtration or any similar process.
- (complex analysis) A form of complex number, proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities.
- That which persists or remains following the removal or elimination of other elements.
- something left after other parts have been taken away
- matter that remains after something has been removed
noun
- (number theory) Given a modulus n, a number g such that every number coprime to n is congruent (modulo n) to some power of g; equivalently, a generator of the multiplicative field of integers modulo n.
- (algebra, lattice theory, of a lattice) An element that is not a positive integer multiple of another element of the lattice.
- (algebra, field theory) An element that generates a simple extension.
- (algebra, of a coalgebra over an element g) An element x ∈ C such that μ(x) = x ⊗ g + g ⊗ x, where μ is the comultiplication and g is an element that maps to the multiplicative identity 1 of the base field under the counit (in particular, if C is a bialgebra, g = 1).
- (group theory, of a free group) An element of a free generating set of a given free group.
- (algebra, field theory, of a finite field) An element that generates the multiplicative group of a given Galois field (finite field).
noun
- (algebra, ring theory, of a module) The intersection of maximal submodules of a given module.
- (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).
- (linguistics) In Celtic languages, the basic, underlying form of an initial consonant which can be further mutated under the Celtic initial consonant mutations.
- 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
- (mathematics) a quantity expressed as the root of another quantity
- a person who has radical ideas or opinions
adj
- (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).
- 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
noun
verb
noun
- (mathematics) Mathematical morphology.
- (linguistics) The study of the internal structure of morphemes (words and their semantic building blocks).
- (countable) The form and structure of something.
- (geology) The study of the structure of rocks and landforms.
- (biology) The study of the form and structure of animals and plants.
- (countable) A description of the form and structure of something.
- studies of the rules for forming admissible words
- the admissible arrangement of sounds in words
- the branch of geology that studies the characteristics and configuration and evolution of rocks and land forms
- the branch of biology that deals with the structure of animals and plants
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
noun
- (mathematics) The set of all things considered.
- A whole world, in the sense of perspective or social setting.
- (literature, films) A collection of stories with characters and settings that typically share a continuity but are less interrelated than those of sequels or prequels.
- Everything under consideration.
- (pantheism) A deity who is equivalent to the sum of everything that exists in the cosmos.
- The sum of everything that exists in the cosmos.
- An entity similar to our universe; one component of a larger entity known as the multiverse.
- An imaginary collection of worlds; the general imaginary world within which a work of fiction takes place, broader than its immediate setting.
- (statistics, psychometrics) The set of all admissible observations.
- (marketing, economics) A sample taken from the population.
- everything that exists anywhere
- everything stated or assumed in a given discussion
- (statistics) the entire aggregation of items from which samples can be drawn
name
noun
- (mathematics) A way in which each element of some algebraic structure transforms some other structure or set, in a way which respects the structure of the first. Formally, this may be seen as a morphism from the first structure into some structure of endomorphisms of the second; for example, a group action of a group G on a set S can be seen as a group homomorphism from G into the set of bijections on S (which form a group under function composition), while a module M over a ring R can be defined as an abelian group together with a ring homomorphism from R into the ring of group endomorphisms of M (which is also called the action of R on M).
- (Misesian praxeology, Austrian economics) Purposeful behavior.
- (military) Combat.
- A way of motion or functioning.
- The effort of performing or doing something.
- (slang, typically with a quantifier) Sexual intercourse.
- (music, lutherie) The distance separating the strings and the fingerboard on a string instrument.
- A demonstration by activists.
- Something done, often so as to accomplish a purpose.
- The way in which a mechanical device acts when used; especially a firearm.
- (law) A charge or other process in a law court (also called lawsuit and actio).
- (sciences) A process existing in or produced by nature (rather than by the intent of human beings).
- Fast-paced activity.
- (art, painting and sculpture) The attitude or position of the several parts of the body as expressive of the sentiment or passion depicted.
- (music) The mechanism, that is the set of moving mechanical parts, of a keyboard instrument, like a piano, which transfers the motion of the key to the sound-making device.
- (Christianity) A religious performance or solemn function, i.e. action sermon, a sacramental sermon in the Scots Presbyterian Church.
- (physics) The product of energy and time, especially the product of the Lagrangian and time.
- (bowling) spin put on the bowling ball.
- (firearms) The way in which cartridges are loaded, locked, and extracted from the mechanism.
- (literature) The event or connected series of events, either real or imaginary, forming the subject of a play, poem, or other composition; the unfolding of the drama of events.
- something done (usually as opposed to something said)
- the operating part that transmits power to a mechanism
- In firearms terminology, the mechanism that handles the ammunition (loads, locks, fires, and extracts the cartridges).
- the trait of being active and energetic and forceful
- the series of events that form a plot
- the most important or interesting work or activity in a specific area or field
- the state of being active
- a military engagement
- a judicial proceeding brought by one party against another; one party prosecutes another for a wrong done or for protection of a right or for prevention of a wrong
- an act by a government body or supranational organization
- a process existing in or produced by nature (rather than by the intent of human beings)
adj
intj
verb
noun
- (mathematics) Initialism of mathematical morphology.
- (audio, electronics) Initialism of moving magnet, a type of phono cartridge.
- Initialism of man-month.
- (Freemasonry) Initialism of Master Mason.
- (finance) Initialism of market maker.
- (numismatic slang) Initialism of mintmark.
- (aviation) Initialism of middle marker.
- plural of M (“Monsieur”)
- Initialism of mile marker.
- (finance) Abbreviation of million.
- (education) Initialism of Master of Music.
- (education) Initialism of Master of Management.
- (philately) Initialism of mounted mint.
- (amateur radio) Initialism of maritime mobile.
- (operating systems) Initialism of memory management.
name
num
noun
- (approximation theory, numerical analysis, of a function) The quantity measured by the modulus of smoothness.
- (mathematical analysis, of a function) The highest order of derivative (the differentiability class) over a given domain.
- The condition of being smooth; the degree or measure of said condition.
- the quality of having a level and even surface
- the quality of being free from errors or interruptions
- powerful and effective language
- the quality of being bland and gracious or ingratiating in manner
- a texture without roughness; smooth to the touch
verb
- (generally, of an algebraic structure) To be expressable as a direct sum of sub-modules, -algebras, etc.
- (algebra, transitive and intransitive, acts on a polynomial) To factor into linear factors.
- (transitive, intransitive, slang) To leave.
- (sports, especially baseball) For both teams involved in a doubleheader to win one game each and lose another.
- (intransitive, of a couple) To separate.
- (of an object which expresses the relationship between algebraic structures, particularly a short exact sequence) To contain an object which may be so expressed.
- (transitive) To share; to divide.
- To be broken; to be dashed to pieces.
- (ambitransitive) To (cause to) break up; to throw into discord.
- (intransitive, of something solid, particularly wood) To break along the grain fully or partly along a more or less straight line.
- (intransitive) To burst out laughing.
- (transitive, ergative, of something solid) To divide fully or partly along a more or less straight line.
- (intransitive, politics) To vote for candidates of opposite parties.
- come open suddenly and violently, as if from internal pressure
- discontinue an association or relation; go different ways
- go one's own way; move apart
- separate or cut with a tool, such as a sharp instrument
- separate into parts or portions
adj
- (stock exchange, historical, of quotations) Given in sixteenths rather than eighths.
- (London stock exchange) Designating ordinary stock that has been divided into preferred ordinary and deferred ordinary.
- Divided.
- (algebra, of a short exact sequence) Having the middle object (group, module, etc.) equal to the direct sum of the others.
- (of coffee) Comprising half decaffeinated and half caffeinated espresso.
- (stock exchange, of an order, sale, etc.) Divided so as to be done or executed part at one time or price and part at another time or price.
- (especially of wood) cut or ripped longitudinally with the grain
- having been divided; having the unity destroyed
noun
- A crack or longitudinal fissure.
- A dessert or confection resembling a banana split.
- (bowling) A result of a first throw that leaves two or more pins standing with one or more pins between them knocked down.
- (baseball, slang) A split-finger fastball.
- A bottle of wine containing 37.5 centiliters, half the volume of a standard 75-centiliter bottle; a demi.
- (bodybuilding) A workout routine as seen by its distribution of muscle groups or the extent and manner they are targeted in a microcycle.
- A breach or separation, as in a political party; a division.
- A unit of measure used for champagne or other spirits: 18.75 centiliters or one quarter of a standard 75-centiliter bottle. Commercially comparable to ¹⁄₂₀ (US) gallon, which is ¹⁄₂ of a fifth.
- (gymnastics, cheerleading, dance, usually in the phrase "to do the splits") A maneuver of spreading or sliding the feet apart until the legs are flat on the floor 180 degrees apart, either sideways to the body or with one leg in front and one behind, thus lowering the body completely to the floor in an upright position.
- (systematics) The division of a single taxon into two or more taxa; as opposed to a lump.
- A piece that is split off, or made thin, by splitting; a splinter; a fragment.
- (construction) A tear resulting from tensile stresses.
- (music) A recording containing songs by multiple artists; a split single or split album.
- (gambling) A division of a stake happening when two cards of the kind on which the stake is laid are dealt in the same turn.
- A split shot or split stroke.
- (athletics, speedrunning) The elapsed time at specific intermediate points in a race or speedrun.
- (leather manufacture) One of the sections of a skin made by dividing it into two or more thicknesses.
- a promised or claimed share of loot or money
- a dessert of sliced fruit and ice cream covered with whipped cream and cherries and nuts
- (tenpin bowling) a divided formation of pins left standing after the first bowl
- a lengthwise crack in wood
- a bottle containing half the usual amount
- the act of rending or ripping or splitting something
- extending the legs at right angles to the trunk (one in front and the other in back)
- an increase in the number of outstanding shares of a corporation without changing the shareholders' equity
- an opening made forcibly as by pulling apart
- division of a group into opposing factions
adj
- (mathematics) Specified, noted.
- Having a dignified appearance or demeanor.
- celebrated, well-known or eminent because of achievements or rank; prestigious.
- (used of persons) standing above others in character or attainment or reputation
- used of a person's appearance or behavior; befitting an eminent person
verb
adj
noun
verb
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
- (algebra, of a module) Finitely generated and such that all finitely generated submodules are finitely presented.
- Aesthetically ordered.
- (algebra, of a ring) Such that every finitely generated (left) ideal is finitely presented.
- Having a natural or due agreement of parts; harmonious: a coherent design.
- (mathematics, sheaf theory, of a sheaf) Belonging to a specific class of sheaves having particularly manageable properties closely linked to the geometrical properties of the underlying space. See Coherent sheaf on Wikipedia.Wikipedia
- Orderly, logical and consistent.
- Unified; sticking together; making up a whole.
- (botany) Attaching or pressing against an organ of the same nature.
- (topology, of a topology 𝒯 on a set T with respect to a family C_a of subsets of T) In a technical sense, determined by the (topology of) the subsets. Formally, Such that 𝒯 is the finest topology on T for which the inclusion maps ιₐ:C_a→T are continuous, where each C_a is considered with its subspace topology.
- (physics) Of waves having the same direction, wavelength and phase, as light in a laser.
- marked by an orderly, logical, and aesthetically consistent relation of parts
- (physics) of waves having a constant phase relation
- sticking together
- capable of thinking and expressing yourself in a clear and consistent manner
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
- Relating to an exponent.
- (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.
- of or involving exponents
noun
adj
- (module theory, of a module) In which each submodule is a direct summand; equivalently, equal to a direct sum of simple submodules.
- (representation theory, of a linear representation of a group or algebra) Being a direct sum of simple representations (also known as irreducible representations).
- (ring theory, of an algebra or ring) Semisimple as a module over itself; equivalently, such that all (left) modules are semisimple.
- (category theory, most generally, of an abelian category) Containing a collection of simple objects such that all objects in the category are direct sums of these simple objects.
- (Lie theory, of a Lie algebra) Being a direct sum of simple Lie algebras.
- (linear algebra, of an operator or matrix) For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree.
- (group theory, of an algebraic group) Being a linear algebraic group whose radical of the identity component is trivial.
- (of a ring, somewhat proscribed) Semiprimitive: having trivial Jacobson radical.