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noun
- (mathematics) A binary function, written as δ with two subscripts, which evaluates to 1 when its arguments are equal, and 0 otherwise.
- (mathematics) A unary function, written as δ with a single index, which evaluates to 1 at zero, and 0 elsewhere.
- a function of two variables i and j that equals 1 when i=j and equals 0 otherwise
adj
- (algebra, of a binary operator *) Such that, for any operands a,b and c, (a*b)*c=a*(b*c); (of a ring, etc.) whose multiplication operation is associative.
- Pertaining to, resulting from, or characterised by association; capable of associating; tending to associate or unite.
- (computing) Addressable by a key more complex than an integer index.
- characterized by or causing or resulting from the process of bringing ideas or events together in memory or imagination
adj
- (algebra, of an algebraic structure) Having a commutative operation.
- (of a binary operation) independent of order; as in e.g.: ‘a x b’ = ‘b x a’
- (mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.
- Relating to exchange; interchangeable.
- (mathematics, of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.
noun
- (mathematics) A basic algebraic structure consisting of a set equipped with a single binary operation.
- (geology) A mixture of molten silicate rock, crystals, and gas within the earth, which may be erupted as lava or cool in place to form igneous intrusions.
- The residuum after expressing the juice from fruits.
- Any soft doughy mass.
- molten rock in the earth's crust
noun
- (algebra) An algebraic structure (Σ,∨,∧,∼,0,1) where ∨ and ∧ are idempotent binary operators, ∼ is a unary involutory operator (called "complement"), and 0 and 1 are nullary operators (i.e., constants), such that (Σ,∨,0) is a commutative monoid, (Σ,∧,1) is a commutative monoid, ∧ and ∨ distribute with respect to each other, and such that combining two complementary elements through one binary operator yields the identity of the other binary operator. (See Boolean algebra (structure)#Axiomatics.)
- (algebra, logic, computing) Specifically, an algebra in which all elements can take only one of two values (typically 0 and 1, or "true" and "false") and are subject to operations based on AND, OR and NOT
- (mathematics) The study of such algebras; Boolean logic, classical logic.
- a system of symbolic logic devised by George Boole; used in computers
noun
- (mathematics) a set of elements such that addition and multiplication are commutative and associative and multiplication is distributive over addition and there are two elements 0 and 1
- the area that is visible (as through an optical instrument)
- a piece of land cleared of trees and usually enclosed
- a region in which active military operations are in progress
- a place where planes take off and land
- (computer science) a set of one or more adjacent characters comprising a unit of information
- somewhere (away from a studio or office or library or laboratory) where practical work is done or data is collected
- extensive tract of level open land
- a piece of land prepared for playing a game
- all of the horses in a particular horse race
- a region where a battle is being (or has been) fought
- a particular kind of commercial enterprise
- a geographic region (land or sea) under which something valuable is found
- a particular environment or walk of life
- the space around a radiating body within which its electromagnetic oscillations can exert force on another similar body not in contact with it
- a branch of knowledge
- all the competitors in a particular contest or sporting event
- (computing, object-oriented programming) An area of memory or storage reserved for a particular value, subject to virtual access controls.
- A place where competitive matches are carried out with figures, or playing area in a board game or a computer game.
- A wide, open space that is used to grow crops or to hold farm animals, usually enclosed by a fence, hedge or other barrier.
- (baseball) The outfield.
- (usually in the plural) The open country near or belonging to a town or city.
- A section of a form which is supposed to be filled with data.
- An airfield, airport or air base; especially, one with unpaved runways.
- A domain of study, knowledge or practice.
- (vexillology) The background of the flag.
- A place where a battle is fought; a battlefield.
- (numismatics) The part of a coin left unoccupied by the main device.
- A component of a database in which a single unit of information is stored.
- A land area free of woodland, cities, and towns; an area of open country.
- (geology) A region containing a particular mineral.
- The extent of a given perception.
- (heraldry) The background of the shield.
- (physics) A physical phenomenon (such as force, potential or fluid velocity) that pervades a region; a mathematical model of such a phenomenon that associates each point and time with a scalar, vector or tensor quantity.
- (algebra) A non-zero commutative ring in which all non-zero elements are invertible; a simple commutative ring.
- A competitive situation, circumstance in which one faces conflicting moves of rivals.
- A realm of practical, direct or natural operation, contrasted with an office, classroom, or laboratory.
- (electronics, film, animation) Part (usually one half) of a frame in an interlaced signal.
- (metonymic) All of the competitors in any outdoor contest or trial, or all except the favourites in the betting.
- An area reserved for playing a game or race with one’s physical force.
- An unrestricted or favourable opportunity for action, operation, or achievement.
verb
- select (a team or individual player) for a game
- play as a fielder
- catch or pick up (balls) in baseball or cricket
- answer adequately or successfully
- (transitive) To answer; to address.
- (transitive, sports) To place (a team, its players, etc.) in a game.
- (transitive) To execute research (in the field).
- (transitive, military) To deploy in the field.
- (transitive, sports) To intercept or catch (a ball) and play it.
- (intransitive, baseball, softball, cricket, and other batting sports) To be the team catching and throwing the ball, as opposed to hitting it.
adj
- (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) (said of an algebraic structure) Having an idempotent operation (in the sense given 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
adj
- (mathematics) Having a dual that is nonnegative.
- Partially positive in attitude etc.
- (materials engineering) A type of compression mold for plastics that allows for excess powder and flash, as in an open flash mold, but which allows for lower melt viscosities as in a fully positive mold.
- (mathematics) Having all elements nonnegative where at least one is positive.
noun
- (algebra) A set with a distributive binary operation whose action on the set is invertible.
- (slang, vulgar) A woman's breasts.
- (billiards, snooker) A hollow triangle used for aligning the balls at the start of a game.
- (climbing, slang) A climber's set of equipment for setting up protection and belays, consisting of runners, slings, carabiners, nuts, Friends, etc.
- (nautical) A piece or frame of wood, having several sheaves, through which the running rigging passes.
- A fast amble.
- A series of one or more shelves, stacked one above the other.
- A cranequin, a mechanism including a rack, pinion and pawl, providing both mechanical advantage and a ratchet, used to bend and cock a crossbow.
- A distaff.
- A grate on which bacon is laid.
- Thin, flying, broken clouds, or any portion of floating vapour in the sky.
- (slang, especially nautical) A bunk.
- Alternative form of arak.
- (nautical, by extension, slang, uncountable) Sleep.
- (mechanical engineering, rail transport) A bar with teeth on its face or edge, to work with those of a gearwheel, pinion, or worm, which is to drive or be driven by it.
- (gambling) A plastic tray used for holding and moving chips.
- A set of antlers (as on deer, moose or elk).
- (climbing, caving) A friction device for abseiling, consisting of a frame with five or more metal bars, around which the rope is threaded.
- A cut of meat involving several adjacent ribs.
- (slang) A thousand dollars, especially if the proceeds are from a crime.
- Any of various kinds of frame for holding luggage or other objects on a vehicle or vessel.
- (historical) A device, incorporating a ratchet, used to torture victims by stretching them beyond their natural limits.
- (mechanical engineering) A bar with teeth on its face or edge, to work with a pawl as a ratchet allowing movement in one direction only, used for example in a handbrake or crossbow.
- an instrument of torture that stretches or disjoints or mutilates victims
- a form of torture in which pain is inflicted by stretching the body
- rib section of a forequarter of veal or pork or especially lamb or mutton
- the destruction or collapse of something
- a support for displaying or holding various articles
- a rapid gait of a horse in which each foot strikes the ground separately
verb
- (structural engineering) To tend to shear a structure (that is, force it to bend, lean, or move in different directions at different points).
- (nautical) To bind together, as two ropes, with cross turns of yarn, marline, etc.
- (slang, transitive) To strike in the testicles.
- To fly, as vapour or broken clouds.
- (figurative) To stretch or strain; to harass, or oppress by extortion.
- To cause (someone) to suffer pain.
- (of a horse) To amble fast, causing a rocking or swaying motion of the body; to pace.
- (slang) To shoplift (especially in a megastore), often by taking off of a rack.
- (billiards, snooker, pool) To put the balls into the triangular rack and set them in place on the table.
- (firearms) To (manually) load (a round of ammunition) from the magazine or belt into firing position in an automatic or semiautomatic firearm.
- To place in or hang on a rack.
- (firearms) To move the slide bar on a shotgun in order to chamber the next round.
- To torture (someone) on the rack.
- (mining) To wash (metals, ore, etc.) on a rack.
- (brewing) To clarify, and thereby deter further fermentation of, beer, wine or cider by draining or siphoning it from the dregs.
- (by extension) To take that which belongs to another, without regard of right or permission.
- To drive; move; go forward rapidly; stir.
- torment emotionally or mentally
- go at a rack
- work on a rack
- fly in high wind
- seize together, as of parallel ropes of a tackle in order to prevent running through the block
- place in a rack
- put on a rack and pinion
- torture on the rack
- run before a gale
- draw off from the lees
- obtain by coercion or intimidation
- stretch to the limits
noun
adj
- producing offspring of only one sex, exhibiting monogeny
- of or relating to monogenesis or to monogenism
- (mathematics, of a semigroup) generated by a set containing only a single element
- (mathematics, of a function) having a single derivative at a point
- (genetics) regulated by a single gene
- of or relating to an inheritable character that is controlled by a single pair of genes
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
adj
- (algebra) Whose salient properties apply when (the specified object) appears on either side of a given binary operator.
- (figuratively) Having two aspects or viewpoints.
- Having two sides, bilateral.
- (logic, of a modality) That is necessarily or absolutely different than the respective coordinate alethic or temporal modality as well as its opposite.
- Reversible.
- having two sides or parts
- capable of being reversed or used with either side out
noun
- (mathematics, computing) A function, implemented in many programming languages, that returns the result of a division of two integers.
- (UK, Eton College, school slang) A division; a lesson.
- (UK, Ireland, slang) A foolish person; an idiot.
- (military) A division.
- Alternative form of daeva.
- (UK, Winchester College) division; a subject with multidisciplinary scope.
- (UK, Ireland, uncountable, slang) Divinity, as a school subject.
- (web design) A section of a web page, or the div element that represents it in HTML code.
- (vector calculus) Divergence; a kind of differential operator.
verb
adj
- (functional analysis, of a Hilbert space operator) Which commutes with its adjoint.
- (topology, of a topology or topological space) In which disjoint closed sets can be separated by disjoint neighborhoods.
- (linear algebra, of a matrix) Which commutes with its conjugate transpose.
- (complex analysis, of a family of continuous functions) Which is pre-compact.
- (commutative algebra, of a domain) Integrally closed: equal its own integral closure in its field of fractions.
- (probability theory, statistics, of a distribution, random variable, etc.) Which has a very specific bell curve shape; that is or has the qualities of a normal distribution.
- (physics, of a mode in an oscillating system) In which all parts of an object vibrate at the same frequency (a normal mode).
- (rail transport, of points) In the default position, set for the most frequently used route.
- (chemistry) Of, relating to, or being a solution containing one equivalent weight of solute per litre of solution.
- (category theory, of a category) Which contains only normal morphisms.
- (organic chemistry) Describing a straight chain isomer of an aliphatic hydrocarbon, or an aliphatic compound in which a substituent is in the 1- position of such a hydrocarbon.
- (fandom slang, sarcastic, with “about”) Fervently interested in a subject; obsessed.
- (algebraic geometry, of a variety or scheme) Such that the local ring at every point is an integrally closed domain.
- (category theory, of a morphism) Which is the kernel or cokernel of some morphism, respectively.
- (number theory, of a real number) In whose representation in a given base b ≥ 2, for every positive integer n, the bⁿ possible strings of n digits follow a uniform distribution.
- Usual, healthy; not sick or ill or unlike oneself.
- (set theory, of a function from the ordinals to the ordinals) Which is strictly monotonically increasing and continuous with respect to the order topology.
- (algebra, of a field extension of a field K) Which is the splitting field of a family of polynomials in K.
- (algebra, of a subgroup) With cosets which form a group.
- (commutative algebra, of a ring) Such that all of its localizations at prime ideals are integrally closed domains.
- (education, of a school) Teaching teachers how to teach; teaching teachers the norms of education.
- According to norms or rules or to a regular pattern.
- (geometry) Perpendicular to a tangent of a curve or tangent plane of a surface.
- in accordance with scientific laws
- conforming with or constituting a norm or standard or level or type or social norm; not abnormal
- forming a right angle
- being approximately average or within certain limits in e.g. intelligence and development
noun
- (geometry, countable) A line or vector that is perpendicular to another line, surface, or plane.
- (medicine, countable) A person who is healthy, normal, as opposed to one who is morbid.
- (slang, countable) A person who is normal, who fits into mainstream society, as opposed to those who live alternative lifestyles.
- (countable, uncountable) The usual state.
- something regarded as a normative example
verb
- (intransitive, mathematics) Of an operation, to be commutative, i.e. to have the property that changing the order of the operands does not change the result.
- (transitive, insurance, pensions) To pay out the lumpsum present value of an annuity, instead of paying in instalments; to cash in; to encash
- To exchange substantially; to abate but not abolish completely, a penalty, obligation, or payment in return for a great, single thing or an aggregate; to cash in; to lessen
- (transitive, finance, law) To pay, or arrange to pay, in advance, in a lump sum instead of part by part.
- (intransitive) To journey, to make a journey
- (intransitive, Philippines) To regularly travel from one place to another using public transport.
- (transitive, law, criminology) To reduce the sentence previously given for a criminal offense.
- (intransitive, US, UK, Canada) To regularly travel from one's home to one's workplace or school, or vice versa.
- change the order or arrangement of
- travel back and forth regularly, as between one's place of work and home
- exchange or replace with another, usually of the same kind or category
- exchange a penalty for a less severe one
- exchange positions without a change in value
noun
noun
- (mathematics) A binary function, written as δ with two subscripts, which evaluates to 1 when its arguments are equal, and 0 otherwise.
- (mathematics) A unary function, written as δ with a single index, which evaluates to 1 at zero, and 0 elsewhere.
- a function of two variables i and j that equals 1 when i=j and equals 0 otherwise
noun
- (mathematics) A basic algebraic structure consisting of a set equipped with a single binary operation.
- (geology) A mixture of molten silicate rock, crystals, and gas within the earth, which may be erupted as lava or cool in place to form igneous intrusions.
- The residuum after expressing the juice from fruits.
- Any soft doughy mass.
- molten rock in the earth's crust
noun
- (algebra) An algebraic structure (Σ,∨,∧,∼,0,1) where ∨ and ∧ are idempotent binary operators, ∼ is a unary involutory operator (called "complement"), and 0 and 1 are nullary operators (i.e., constants), such that (Σ,∨,0) is a commutative monoid, (Σ,∧,1) is a commutative monoid, ∧ and ∨ distribute with respect to each other, and such that combining two complementary elements through one binary operator yields the identity of the other binary operator. (See Boolean algebra (structure)#Axiomatics.)
- (algebra, logic, computing) Specifically, an algebra in which all elements can take only one of two values (typically 0 and 1, or "true" and "false") and are subject to operations based on AND, OR and NOT
- (mathematics) The study of such algebras; Boolean logic, classical logic.
- a system of symbolic logic devised by George Boole; used in computers
noun
- (mathematics) a set of elements such that addition and multiplication are commutative and associative and multiplication is distributive over addition and there are two elements 0 and 1
- the area that is visible (as through an optical instrument)
- a piece of land cleared of trees and usually enclosed
- a region in which active military operations are in progress
- a place where planes take off and land
- (computer science) a set of one or more adjacent characters comprising a unit of information
- somewhere (away from a studio or office or library or laboratory) where practical work is done or data is collected
- extensive tract of level open land
- a piece of land prepared for playing a game
- all of the horses in a particular horse race
- a region where a battle is being (or has been) fought
- a particular kind of commercial enterprise
- a geographic region (land or sea) under which something valuable is found
- a particular environment or walk of life
- the space around a radiating body within which its electromagnetic oscillations can exert force on another similar body not in contact with it
- a branch of knowledge
- all the competitors in a particular contest or sporting event
- (computing, object-oriented programming) An area of memory or storage reserved for a particular value, subject to virtual access controls.
- A place where competitive matches are carried out with figures, or playing area in a board game or a computer game.
- A wide, open space that is used to grow crops or to hold farm animals, usually enclosed by a fence, hedge or other barrier.
- (baseball) The outfield.
- (usually in the plural) The open country near or belonging to a town or city.
- A section of a form which is supposed to be filled with data.
- An airfield, airport or air base; especially, one with unpaved runways.
- A domain of study, knowledge or practice.
- (vexillology) The background of the flag.
- A place where a battle is fought; a battlefield.
- (numismatics) The part of a coin left unoccupied by the main device.
- A component of a database in which a single unit of information is stored.
- A land area free of woodland, cities, and towns; an area of open country.
- (geology) A region containing a particular mineral.
- The extent of a given perception.
- (heraldry) The background of the shield.
- (physics) A physical phenomenon (such as force, potential or fluid velocity) that pervades a region; a mathematical model of such a phenomenon that associates each point and time with a scalar, vector or tensor quantity.
- (algebra) A non-zero commutative ring in which all non-zero elements are invertible; a simple commutative ring.
- A competitive situation, circumstance in which one faces conflicting moves of rivals.
- A realm of practical, direct or natural operation, contrasted with an office, classroom, or laboratory.
- (electronics, film, animation) Part (usually one half) of a frame in an interlaced signal.
- (metonymic) All of the competitors in any outdoor contest or trial, or all except the favourites in the betting.
- An area reserved for playing a game or race with one’s physical force.
- An unrestricted or favourable opportunity for action, operation, or achievement.
verb
- select (a team or individual player) for a game
- play as a fielder
- catch or pick up (balls) in baseball or cricket
- answer adequately or successfully
- (transitive) To answer; to address.
- (transitive, sports) To place (a team, its players, etc.) in a game.
- (transitive) To execute research (in the field).
- (transitive, military) To deploy in the field.
- (transitive, sports) To intercept or catch (a ball) and play it.
- (intransitive, baseball, softball, cricket, and other batting sports) To be the team catching and throwing the ball, as opposed to hitting it.
noun
- (algebra) A set with a distributive binary operation whose action on the set is invertible.
- (slang, vulgar) A woman's breasts.
- (billiards, snooker) A hollow triangle used for aligning the balls at the start of a game.
- (climbing, slang) A climber's set of equipment for setting up protection and belays, consisting of runners, slings, carabiners, nuts, Friends, etc.
- (nautical) A piece or frame of wood, having several sheaves, through which the running rigging passes.
- A fast amble.
- A series of one or more shelves, stacked one above the other.
- A cranequin, a mechanism including a rack, pinion and pawl, providing both mechanical advantage and a ratchet, used to bend and cock a crossbow.
- A distaff.
- A grate on which bacon is laid.
- Thin, flying, broken clouds, or any portion of floating vapour in the sky.
- (slang, especially nautical) A bunk.
- Alternative form of arak.
- (nautical, by extension, slang, uncountable) Sleep.
- (mechanical engineering, rail transport) A bar with teeth on its face or edge, to work with those of a gearwheel, pinion, or worm, which is to drive or be driven by it.
- (gambling) A plastic tray used for holding and moving chips.
- A set of antlers (as on deer, moose or elk).
- (climbing, caving) A friction device for abseiling, consisting of a frame with five or more metal bars, around which the rope is threaded.
- A cut of meat involving several adjacent ribs.
- (slang) A thousand dollars, especially if the proceeds are from a crime.
- Any of various kinds of frame for holding luggage or other objects on a vehicle or vessel.
- (historical) A device, incorporating a ratchet, used to torture victims by stretching them beyond their natural limits.
- (mechanical engineering) A bar with teeth on its face or edge, to work with a pawl as a ratchet allowing movement in one direction only, used for example in a handbrake or crossbow.
- an instrument of torture that stretches or disjoints or mutilates victims
- a form of torture in which pain is inflicted by stretching the body
- rib section of a forequarter of veal or pork or especially lamb or mutton
- the destruction or collapse of something
- a support for displaying or holding various articles
- a rapid gait of a horse in which each foot strikes the ground separately
verb
- (structural engineering) To tend to shear a structure (that is, force it to bend, lean, or move in different directions at different points).
- (nautical) To bind together, as two ropes, with cross turns of yarn, marline, etc.
- (slang, transitive) To strike in the testicles.
- To fly, as vapour or broken clouds.
- (figurative) To stretch or strain; to harass, or oppress by extortion.
- To cause (someone) to suffer pain.
- (of a horse) To amble fast, causing a rocking or swaying motion of the body; to pace.
- (slang) To shoplift (especially in a megastore), often by taking off of a rack.
- (billiards, snooker, pool) To put the balls into the triangular rack and set them in place on the table.
- (firearms) To (manually) load (a round of ammunition) from the magazine or belt into firing position in an automatic or semiautomatic firearm.
- To place in or hang on a rack.
- (firearms) To move the slide bar on a shotgun in order to chamber the next round.
- To torture (someone) on the rack.
- (mining) To wash (metals, ore, etc.) on a rack.
- (brewing) To clarify, and thereby deter further fermentation of, beer, wine or cider by draining or siphoning it from the dregs.
- (by extension) To take that which belongs to another, without regard of right or permission.
- To drive; move; go forward rapidly; stir.
- torment emotionally or mentally
- go at a rack
- work on a rack
- fly in high wind
- seize together, as of parallel ropes of a tackle in order to prevent running through the block
- place in a rack
- put on a rack and pinion
- torture on the rack
- run before a gale
- draw off from the lees
- obtain by coercion or intimidation
- stretch to the limits
noun
adj
- producing offspring of only one sex, exhibiting monogeny
- of or relating to monogenesis or to monogenism
- (mathematics, of a semigroup) generated by a set containing only a single element
- (mathematics, of a function) having a single derivative at a point
- (genetics) regulated by a single gene
- of or relating to an inheritable character that is controlled by a single pair of genes
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
- (mathematics, computing) A function, implemented in many programming languages, that returns the result of a division of two integers.
- (UK, Eton College, school slang) A division; a lesson.
- (UK, Ireland, slang) A foolish person; an idiot.
- (military) A division.
- Alternative form of daeva.
- (UK, Winchester College) division; a subject with multidisciplinary scope.
- (UK, Ireland, uncountable, slang) Divinity, as a school subject.
- (web design) A section of a web page, or the div element that represents it in HTML code.
- (vector calculus) Divergence; a kind of differential operator.
verb
verb
- (intransitive, mathematics) Of an operation, to be commutative, i.e. to have the property that changing the order of the operands does not change the result.
- (transitive, insurance, pensions) To pay out the lumpsum present value of an annuity, instead of paying in instalments; to cash in; to encash
- To exchange substantially; to abate but not abolish completely, a penalty, obligation, or payment in return for a great, single thing or an aggregate; to cash in; to lessen
- (transitive, finance, law) To pay, or arrange to pay, in advance, in a lump sum instead of part by part.
- (intransitive) To journey, to make a journey
- (intransitive, Philippines) To regularly travel from one place to another using public transport.
- (transitive, law, criminology) To reduce the sentence previously given for a criminal offense.
- (intransitive, US, UK, Canada) To regularly travel from one's home to one's workplace or school, or vice versa.
- change the order or arrangement of
- travel back and forth regularly, as between one's place of work and home
- exchange or replace with another, usually of the same kind or category
- exchange a penalty for a less severe one
- exchange positions without a change in value
noun
adj
- (algebra, of a binary operator *) Such that, for any operands a,b and c, (a*b)*c=a*(b*c); (of a ring, etc.) whose multiplication operation is associative.
- Pertaining to, resulting from, or characterised by association; capable of associating; tending to associate or unite.
- (computing) Addressable by a key more complex than an integer index.
- characterized by or causing or resulting from the process of bringing ideas or events together in memory or imagination
adj
- (algebra, of an algebraic structure) Having a commutative operation.
- (of a binary operation) independent of order; as in e.g.: ‘a x b’ = ‘b x a’
- (mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.
- Relating to exchange; interchangeable.
- (mathematics, of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.
adj
- (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) (said of an algebraic structure) Having an idempotent operation (in the sense given 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
adj
- (mathematics) Having a dual that is nonnegative.
- Partially positive in attitude etc.
- (materials engineering) A type of compression mold for plastics that allows for excess powder and flash, as in an open flash mold, but which allows for lower melt viscosities as in a fully positive mold.
- (mathematics) Having all elements nonnegative where at least one is positive.
adj
- (algebra) Whose salient properties apply when (the specified object) appears on either side of a given binary operator.
- (figuratively) Having two aspects or viewpoints.
- Having two sides, bilateral.
- (logic, of a modality) That is necessarily or absolutely different than the respective coordinate alethic or temporal modality as well as its opposite.
- Reversible.
- having two sides or parts
- capable of being reversed or used with either side out
adj
- (functional analysis, of a Hilbert space operator) Which commutes with its adjoint.
- (topology, of a topology or topological space) In which disjoint closed sets can be separated by disjoint neighborhoods.
- (linear algebra, of a matrix) Which commutes with its conjugate transpose.
- (complex analysis, of a family of continuous functions) Which is pre-compact.
- (commutative algebra, of a domain) Integrally closed: equal its own integral closure in its field of fractions.
- (probability theory, statistics, of a distribution, random variable, etc.) Which has a very specific bell curve shape; that is or has the qualities of a normal distribution.
- (physics, of a mode in an oscillating system) In which all parts of an object vibrate at the same frequency (a normal mode).
- (rail transport, of points) In the default position, set for the most frequently used route.
- (chemistry) Of, relating to, or being a solution containing one equivalent weight of solute per litre of solution.
- (category theory, of a category) Which contains only normal morphisms.
- (organic chemistry) Describing a straight chain isomer of an aliphatic hydrocarbon, or an aliphatic compound in which a substituent is in the 1- position of such a hydrocarbon.
- (fandom slang, sarcastic, with “about”) Fervently interested in a subject; obsessed.
- (algebraic geometry, of a variety or scheme) Such that the local ring at every point is an integrally closed domain.
- (category theory, of a morphism) Which is the kernel or cokernel of some morphism, respectively.
- (number theory, of a real number) In whose representation in a given base b ≥ 2, for every positive integer n, the bⁿ possible strings of n digits follow a uniform distribution.
- Usual, healthy; not sick or ill or unlike oneself.
- (set theory, of a function from the ordinals to the ordinals) Which is strictly monotonically increasing and continuous with respect to the order topology.
- (algebra, of a field extension of a field K) Which is the splitting field of a family of polynomials in K.
- (algebra, of a subgroup) With cosets which form a group.
- (commutative algebra, of a ring) Such that all of its localizations at prime ideals are integrally closed domains.
- (education, of a school) Teaching teachers how to teach; teaching teachers the norms of education.
- According to norms or rules or to a regular pattern.
- (geometry) Perpendicular to a tangent of a curve or tangent plane of a surface.
- in accordance with scientific laws
- conforming with or constituting a norm or standard or level or type or social norm; not abnormal
- forming a right angle
- being approximately average or within certain limits in e.g. intelligence and development
noun
- (geometry, countable) A line or vector that is perpendicular to another line, surface, or plane.
- (medicine, countable) A person who is healthy, normal, as opposed to one who is morbid.
- (slang, countable) A person who is normal, who fits into mainstream society, as opposed to those who live alternative lifestyles.
- (countable, uncountable) The usual state.
- something regarded as a normative example