Слова на English для '(mathematics) Partial ordered multiset.'
Выше показаны слова, связанные с "(mathematics) Partial ordered multiset.". Наведите курсор или фокус на слово, чтобы увидеть его определение.
Результаты поиска
adj
noun
noun
- (order theory) A partially ordered set.
- (order theory) The relation with which a partially ordered set is equipped.
- (Christianity) An ecclesiastical rank or position, usually for the sake of ministry, (especially, when plural) holy orders.
- (countable) An association of knights.
- (sciences, engineering, logic) Scale: size or scope.
- (algebra, of a monomial) The sum of the exponents of the variables involved in the expression.
- (architecture) The disposition of a column and its component parts, and of the entablature resting upon it, in classical architecture; hence (since the column and entablature are the characteristic features of classical architecture) a style or manner of architectural design.
- (countable) Conformity with law or decorum; freedom from disturbance; general tranquillity; public quiet.
- (chemistry) The overall power of the rate law of a chemical reaction, expressed as a polynomial function of concentrations of reactants and products.
- (countable) A request for some product or service; a commission to purchase, sell, or supply goods.
- (uncountable) The state of being well arranged.
- (graph theory, of a graph) The number of vertices in the graph (i.e. the set-theoretic order of the set of vertices of the graph).
- (set theory, of a set or algebraic structure) The number of elements contained within (the given object); formally, the cardinality (of the given object).
- A number of things or persons arranged in a fixed or suitable place, or relative position; a rank; a row; a grade; especially, a rank or class in society; a distinct character, kind, or sort.
- Any group of people with common interests.
- (countable) A command.
- (electronics) A power of polynomial function in an electronic circuit’s block, such as a filter, an amplifier, etc.
- (finance) A written direction to furnish someone with money or property; compare money order, postal order.
- (countable) A position in an arrangement, disposition, or sequence.
- (group theory, of an element g of a group G) The smallest positive natural number n such that (denoting the group operation multiplicatively) gⁿ is the identity element of G, if such an n exists; if no such n exists the element is said to be of infinite order (or sometimes zero order).
- (countable) A decoration, awarded by a government, a dynastic house, or a religious body to an individual, usually for distinguished service to a nation or to humanity.
- (countable, biology, taxonomy) A category in the classification of organisms, ranking below class and above family; a taxon at that rank.
- (cricket) The sequence in which a side’s batsmen bat; the batting order.
- (algebra, of a polynomial in one variable) The order of the leading monomial; (equivalently) the largest power of the variable involved in the given expression.
- (countable) Arrangement, disposition, or sequence.
- (countable) A group of religious adherents, especially monks or nuns, set apart within their religion by adherence to a particular rule or set of principles.
- a request for something to be made, supplied, or served
- established customary state (especially of society)
- logical or comprehensible arrangement of separate elements
- a body of rules followed by an assembly
- a formal association of people with similar interests
- a commercial document used to request someone to supply something in return for payment and providing specifications and quantities
- the act of putting things in a sequential arrangement
- a degree in a continuum of size or quantity
- a condition of regular or proper arrangement
- (often plural) a command given by a superior (e.g., a military or law enforcement officer) that must be obeyed
- a group of person living under a religious rule
- (biology) taxonomic group containing one or more families
- a legally binding command or decision entered on the court record (as if issued by a court or judge)
- (architecture) one of original three styles of Greek architecture distinguished by the type of column and entablature used or a style developed from the original three by the Romans
verb
- (transitive) To set in some sort of order.
- (transitive) To issue a command to; to charge.
- (transitive) To arrange, set in proper order.
- To admit to holy orders; to ordain; to receive into the ranks of the ministry.
- (transitive) To request some product or service; to secure by placing an order.
- give instructions to or direct somebody to do something with authority
- issue commands or orders for
- arrange thoughts, ideas, temporal events
- bring into conformity with rules or principles or usage; impose regulations
- bring order to or into
- make a request for something
- appoint to a clerical posts
- place in a certain order
- assign a rank or rating to
noun
- (mathematics) A partially ordered set with the following additional axiomatic properties: any finite subset of it has a meet, any arbitrary subset of it has a join, and distributivity, which states that a binary meet distributes with respect to an arbitrary join. (Note: locales are just like frames except that the category of locales is opposite to the category of frames.)
- The place where something happens.
- (computing) The set of settings related to the language and region in which a computer program executes. Examples are language, currency and time formats, character encoding etc.
- the scene of any event or action (especially the place of a meeting)
noun
- (mathematics, order theory) A partially ordered set in which every pair of elements has a unique supremum and a unique infimum.
- (crystallography) A regular spacing or arrangement of geometric points, often decorated with a motif.
- (music) A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.
- (topology, Lie theory, generalizing noun sense 5.1) A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.
- (heraldry) A bearing with vertical and horizontal bands that cross each other.
- A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.
- (group theory) A discrete subgroup of Rⁿ which is isomorphic to Zⁿ (considered as an additive group) and which spans the real vector space Rⁿ.
- (algebra, ring theory, generalizing noun sense 5.1, with respect to a vector space V over a field F which is the field of fractions of an integral domain R in F) A finitely generated R-submodule of V which spans V over F. (In this case the submodule is called an R-lattice).
- an arrangement of points or particles or objects in a regular periodic pattern in 2 or 3 dimensions
- framework consisting of an ornamental design made of strips of wood or metal
- small opening (like a window in a door) through which business can be transacted
verb
noun
- (mathematics) An upper set; a subset (X,≤) of a partially ordered set with the property that, if x is in U and x≤y, then y is in U.
- (uncountable) Disturbance or disruption.
- (automobile insurance) An overturn.
- (countable, sports, politics) An unexpected victory of a competitor or candidate that was not favored to win.
- (aviation) The dangerous situation where the flight attitude or airspeed of an aircraft is outside the designed bounds of operation, possibly resulting in loss of control.
- An upset stomach.
- (basketry) A woven row supporting the foundation rods for the uprights of a basket.
- a tool used to thicken or spread metal (the end of a bar or a rivet etc.) by forging or hammering or swaging
- an improbable and unexpected victory
- an unhappy and worried mental state
- the act of upsetting something
- the act of disturbing the mind or body
- a physical condition in which there is a disturbance of normal functioning
adj
- (of a stomach or gastrointestinal tract) Feeling unwell, nauseated, or ready to vomit.
- (of a person, predicative only) Angry, distressed, or unhappy
- used of an unexpected defeat of a team favored to win
- thrown into a state of disarray or confusion
- mildly physically distressed
- afflicted with or marked by anxious uneasiness or trouble or grief
- having been turned so that the bottom is no longer the bottom
verb
- To shorten (a tire) in the process of resetting, originally by cutting it and hammering on the ends.
- (transitive) To defeat unexpectedly.
- (intransitive) To be upset or knocked over.
- (transitive, basketry) To support with an upset (type of woven row).
- (transitive) To tip or overturn (something).
- (transitive) To make (a person) angry, distressed, or unhappy.
- (metalworking) To thicken and shorten a soft or heated piece of metal, by forging or hammering on the end, to shape, for example, rivets or internal combustion engine valves.
- (transitive) To disturb, disrupt or adversely alter (something).
- form metals with a swage
- disturb the balance or stability of
- cause to lose one's composure
- cause to overturn from an upright or normal position
- defeat suddenly and unexpectedly
- move deeply
adj
- (mathematics, of a partial order ≤) Such that any two elements are comparable, i.e. for all a and b, either a ≤ b, or b ≤ a.
- (mathematics, of a function) Defined on all possible inputs.
- Entire; relating to the whole of something.
- (mathematics, more generally, of a relation R on X × Y) Left total: Such that for every x in X there is a y in Y with x R y.
- (used as an intensifier) Complete; absolute.
- constituting the full quantity or extent; complete
- complete in extent or degree and in every particular
noun
verb
noun
- An orderly series, arrangement or sequence.
- A group of hedgehogs.
- Order; a regular and imposing arrangement; disposition in regular lines; hence, order of battle.
- Clothing and ornamentation; raiment.
- A large collection.
- A microarray.
- (military) A militia.
- (programming) Any of various data structures designed to hold multiple elements of the same type; especially, a data structure that holds these elements in adjacent memory locations so that they may be retrieved using numeric indices.
- (law) A ranking or setting forth in order, by the proper officer, of a jury as impanelled in a cause; the panel itself; or the whole body of jurors summoned to attend the court.
- (mathematics) A matrix.
- A collection laid out to be viewed in full.
- an arrangement of aerials spaced to give desired directional characteristics
- an orderly arrangement
- especially fine or decorative clothing
- an impressive display
verb
- To clothe and ornament; to adorn or attire.
- To lay out in an orderly arrangement; to deploy or marshal.
- (law) To set in order, as a jury, for the trial of a cause; that is, to call them one at a time.
- lay out orderly or logically in a line or as if in a line
- align oneself with a group or a way of thinking
noun
- (mathematics, order theory) A non-empty upper set (of a partially ordered set) which is closed under binary infima (a.k.a. meets).
- Electronics or software that separates unwanted signals (for example noise) from wanted signals or that attenuates selected frequencies.
- A device which separates a suspended, dissolved, or particulate matter from a fluid, solution, or other substance; any device that separates one substance from another.
- (figurative) Self-restraint in speech.
- (social media) An appearance-altering digital image effect.
- (photography) A translucent object placed in the light path of a camera to remove certain wavelengths (colors), or a computer program that simulates such an effect.
- Any item, mechanism, device, or procedure that acts to separate or isolate.
- an electrical device that alters the frequency spectrum of signals passing through it
- device that removes something from whatever passes through it
verb
- (intransitive) To ride a motorcycle between lanes on a road
- (transitive) To sort, sift, or isolate.
- (intransitive) To pass through a filter or to act as though passing through a filter.
- (intransitive) To move slowly or gradually; to come or go a few at a time.
- (transitive) To diffuse; to cause to be less concentrated or focused.
- (intransitive, derogatory, fandom slang) To be discouraged where a connoisseur or hardcore fan would not.
- pass through
- run or flow slowly, as in drops or in an unsteady stream
- remove by passing through a filter
noun
- (mathematics, set theory, order theory) A totally ordered set, especially a totally ordered subset of a poset.
- A livery collar, a chain of office.
- (algebraic topology, homological algebra, more generally) An element of a group (or module) in a chain complex.
- A unit of length, exactly equal to 22 yards, which is 4 rods or 100 links, and approximately equal to 20.12 metres; the length of a Gunter's surveying chain; the length of a cricket pitch.
- That which confines, fetters, or secures; a bond.
- A series of stores or businesses with the same brand name.
- A series of interconnected things.
- (weaving) The warp threads of a web.
- (British) A sequence of linked house purchases, each of which is dependent on the preceding and succeeding purchase (said to be "broken" if a buyer or seller pulls out).
- (surveying) A series of interconnected links of known length, used as a measuring device.
- A series of interconnected rings or links usually made of metal.
- (surveying) A long measuring tape.
- (nautical, in the plural) Iron links bolted to the side of a vessel to bold the dead-eyes connected with the shrouds; also, the channels.
- (algebraic topology, originally) A formal sum of cells in a CW complex of a certain dimension k (in which case the formal sums are called k'''-chains); a formal sum of simplices or cubes of a certain dimension in a simplical complex or cubical complex (respectively).
- (organic chemistry, physical chemistry) A number of atoms in a series, which combine to form a molecule.
- a unit of length
- a series of things depending on each other as if linked together
- (chemistry) a series of linked atoms (generally in an organic molecule)
- anything that acts as a restraint
- a series of (usually metal) rings or links fitted into one another to make a flexible ligament
- a necklace made by stringing objects together
- a linked or connected series of objects
- (business) a number of similar establishments (stores or restaurants or banks or hotels or theaters) under one ownership
- a series of hills or mountains
verb
- (computing) To be chained to another data item.
- (transitive, computing, rare, associated with Acorn Computers) To load and automatically run (a program).
- (intransitive) To link multiple items together.
- (figurative) To connect as if with a chain, due to dependence, addiction, or other feelings
- (computing) To relate data items with a chain of pointers.
- (transitive) To measure a distance using a 66-foot long chain, as in land surveying.
- (figurative) To obligate.
- (transitive) To secure someone with fetters.
- (transitive) To fasten something with a chain.
- (transitive) To obstruct the mouth of a river etc with a chain.
- fasten or secure with chains
- connect or arrange into a chain by linking
adj
noun
- (logic) Said of a set of well-formed formulas: that it is as large as it can be without being inconsistent; i.e. that for any well-formed formula φ, the set contains either φ or ~φ.
- (mathematics) The element of a set with the greatest magnitude.
- (mathematics) Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be without being trivial (improper).
noun
verb
noun
- (mathematics, of a set, whose subsets are partially ordered by inclusion) A proper filter which has a law of dichotomy for complements.
- A device that performs ultrafiltration.
- (mathematics, order theory) A filter (subset of a poset) that is maximal as a set with respect to the definition of proper filter.
verb
noun
- (mathematics, order theory) A family of sets closed under finite union and finite intersection.
- (colloquial) A telephone call.
- (typography) A diacritical mark in the shape of a hollow circle placed above or under the letter; a kroužek.
- Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
- In a jack plug, the connector between the tip and the sleeve.
- (Internet) Ellipsis of webring.
- A circular group of people or objects.
- (astronomy) A formation of various pieces of material orbiting around a planet or young star.
- (vulgar) The rectum, anus, or anal sphincters.
- (historical) An instrument, formerly used for taking the sun's altitude, consisting of a brass ring suspended by a swivel, with a hole at one side through which a solar ray entering indicated the altitude on the graduated inner surface opposite.
- (chemistry) A group of atoms linked by bonds to form a closed chain in a molecule.
- A piece of food in the shape of a ring.
- An exclusive group of people, usually involving some unethical or illegal practices.
- (mathematical analysis, measure theory) A family of sets that is closed under finite unions and set-theoretic differences.
- (geometry) A planar geometrical figure included between two concentric circles.
- (historical) An old English measure of corn equal to the coomb or half a quarter.
- The resonant sound of a bell, or a sound resembling it.
- A chime, or set of bells harmonically tuned.
- (algebra) An algebraic structure as above, but only required to be a semigroup under the multiplicative operation, that is, there need not be a multiplicative identity element.
- (figuratively) A sound or appearance that is characteristic of something.
- A long stripe of contrastive material, colour, etc, that encircles something.
- (computing theory) A hierarchical level of privilege in a computer system, usually at hardware level, used to protect data and functionality (also protection ring).
- (British) A large circular prehistoric stone construction such as Stonehenge.
- A circumscribing object, (roughly) circular and hollow, looking like an annual ring, earring, finger ring etc.
- A place where some sports or exhibitions take place; notably a circular or comparable arena, such as a boxing ring or a circus ring; hence the field of a political contest.
- (jewelry) A round piece of (precious) metal worn around the finger or through the ear, nose, etc.
- (algebra) An algebraic structure which consists of a set with two binary operations: an additive operation and a multiplicative operation, such that the set is an abelian group under the additive operation, a monoid under the multiplicative operation, and such that the multiplicative operation is distributive with respect to the additive operation.
- (networking) A network topology where connected devices form a circular data channel. All computers on the ring can see every message, and there are no collisions, and a single point of failure will occur if any part of the ring breaks.
- (firearms) Either of the pair of clamps used to hold a telescopic sight to a rifle.
- (figuratively) A pleasant or correct sound.
- (UK) A burner on a kitchen stove.
- The open space in front of a racecourse stand, used for betting purposes.
- (cartomancy) The twenty-fifth Lenormand card.
- (botany) A flexible band partly or wholly encircling the spore cases of ferns.
- (UK) A bird band, a round piece of metal put around a bird's leg used for identification and studies of migration.
- a strip of material attached to the leg of a bird to identify it (as in studies of bird migration)
- a platform usually marked off by ropes in which contestants box or wrestle
- (chemistry) a chain of atoms in a molecule that forms a closed loop
- an association of criminals
- a rigid circular band of metal or wood or other material used for holding or fastening or hanging or pulling
- a characteristic sound
- jewelry consisting of a circlet of precious metal (often set with jewels) worn on the finger
- the sound of a bell ringing
- a toroidal shape
verb
- (transitive) To enclose or surround.
- (intransitive) to resound, reverberate, echo.
- (transitive) To attach a ring to, especially for identification.
- To ring up (enter into a cash register or till)
- (intransitive, figuratively) To produce the sound of a bell or a similar sound.
- (transitive, colloquial, British, Australia, New Zealand) To telephone (someone).
- (Australia, transitive) To ride around (a group of animals, especially cattle) to keep them milling in one place; hence (intransitive), to work as a drover, to muster cattle.
- (transitive, figuratively) To make an incision around; to girdle; to cut away a circular tract of bark from a tree in order to kill it.
- (transitive) To make (a bell, etc.) produce a resonant sound.
- (transitive) To surround or fit with a ring, or as if with a ring.
- (intransitive) Of a bell, etc., to produce a resonant sound.
- (transitive) To steal and change the identity of (cars) in order to resell them.
- (transitive) To produce (a sound) by ringing.
- (falconry) To rise in the air spirally.
- (intransitive) To produce music with bells.
- (intransitive, figuratively) Of something spoken or written, to appear to be, to seem, to sound.
- sound loudly and sonorously
- ring or echo with sound
- attach a ring to the foot of, in order to identify
- get or try to get into communication (with someone) by telephone
- make (bells) ring, often for the purposes of musical edification
- extend on all sides of simultaneously; encircle
noun
- the set of ordered pairs of two given sets
- (mathematics) Any of several generalizations of the set-theoretic sense, especially one which shares the geometrical intuition outlined above, i.e. one such that the product can be thought of as an object in its own right and not just as a set of pairs.
- (set theory, of two sets X and Y) The set of all possible ordered pairs of elements, the being first from X, the second from Y, written X×Y. Formally, the set (x,y);|;x∈X;and;y∈Y.
- (geometry, of an m-dimensional space X and an n-dimensional space Y) An (m+n)-dimensional space, formally composed of all possible ordered pairs of points from X and Y, but thought of as an independent (m+n)-dimensional space (in the sense that if, e.g. X and Y are vector spaces, the elements of X×Y are thought of as (m+n)-tuples instead of ordered pairs) and written X×Y.
- (databases) All possible combinations of rows between all of the tables listed.
noun
- the set of ordered pairs of two given sets
- (set theory) The set of all possible tuples whose elements are elements of given, separately specified, sets.
- (topology) A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
- (group theory) Such a set of tuples formed from two or more groups, forming another group whose group operation is the component-wise application of the original group operations and of which the original groups are normal subgroups.
- (category theory) A high-level generalization of the preceding that applies to objects in an arbitrary category and produces a new object constructable by morphisms from each of the original objects.
- (ring theory) Such a set of tuples formed from two or more rings, forming another ring whose operations arise from the component-wise application of the corresponding original ring operations.
- (mathematics) Any of a number of mathematical objects analogously derived from a given ordered set of objects.
noun
- the set of ordered pairs of two given sets
- a consequence of someone's efforts or of a particular set of circumstances
- a quantity obtained by multiplication
- items for sale to the individual consumer
- a chemical substance formed as a result of a chemical reaction
- an artifact that has been created by someone or some process
- A consequence of someone's efforts or of a particular set of circumstances.
- Any tangible or intangible good or service that is a result of a process and that is intended for delivery to a customer or end user.
- (countable, uncountable) A commodity offered for sale.
- (arithmetic) A quantity obtained by multiplication of two or more numbers.
- The amount of an artifact that has been created by someone or some process.
- (chemistry) A chemical substance formed as a result of a chemical reaction.
- (US, slang) Illegal drugs, especially cocaine, when viewed as a commodity.
- (mathematics) Any operation or a result thereof which generalises multiplication of numbers, like the multiplicative operation in a ring, product of types or a categorical product.
- (cosmetics, uncountable) Ellipsis of beauty product: any preparation to be applied to the hair, skin, nails, etc. Often specifically a preparation used to hold one's hair in a desired arrangement.
- Anything that is produced; a result.
noun
- (mathematics, uncountable) The branch of mathematics concerned with lattices (partially ordered sets).
- (physics, countable and uncountable) A lattice model, a mathematical model based on a lattice (discrete subgroup of Rⁿ); the study of such models.
- (particle physics, countable and uncountable) (A) lattice gauge theory.
adj
- (mathematics, of a semigroup) generated by a set containing only a single element
- producing offspring of only one sex, exhibiting monogeny
- of or relating to monogenesis or to monogenism
- (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
noun
- (mathematics) Given sets (A₁, A₂, ..., Aₙ) and their total orderings (<₁, <₂, ..., <ₙ), the order <ᵈ of A₁ × A₂ × ... × Aₙ such that (a₁, a₂, ..., aₙ) <ᵈ (b₁,b₂, ..., bₙ) iff (∃m > 0) (∀ i < m) (aᵢ = bᵢ ) and (aₘ <ₘ bₘ )
- (mathematics) Formally, given two partially ordered sets A and B, the order ≤ on the Cartesian product A × B such that (a,b) ≤ (a′,b′) if and only if a < a′ or (a = a′ and b ≤ b′).
verb
noun
adj
verb
- arrange in pairs
- bring two objects, ideas, or people together
- form a pair or pairs
- occur in pairs
- engage in sexual intercourse
- (politics, slang) To engage (oneself) with another of opposite opinions not to vote on a particular question or class of questions.
- (intransitive) To suit; to fit, as a counterpart.
- (transitive) To bring two (animals, notably dogs) together for mating.
- (computing) to link two electronic devices wirelessly together, especially through a protocol such as Bluetooth.
- (transitive) To group into one or more sets of two.
- (intransitive) To come together for mating.
noun
- two people considered as a unit
- a set of two similar things considered as a unit
- a poker hand with 2 cards of the same value
- two items of the same kind
- (baseball, informal) A double play, two outs recorded in one play.
- (baseball, informal) A doubleheader, two games played on the same day between the same teams.
- (card games) A poker hand that contains two cards of identical rank, which cannot also count as a better hand.
- (slang) A pair of testicles.
- Two alike or identical things taken together; often followed by of.
- Two members of opposite parties or opinion, as in a parliamentary body, who mutually agree not to vote on a given question, or on issues of a party nature during a specified time.
- One of the constituent items that make up a pair.
- (kinematics) In a mechanism, two elements, or bodies, which are so applied to each other as to mutually constrain relative motion; named in accordance with the motion it permits, as in turning pair, sliding pair, twisting pair.
- Two people in a relationship, partnership or friendship.
- Used with binary nouns (often in the plural to indicate multiple instances, since such nouns are plural only, except in some technical contexts).
- (slang) A pair of breasts.
- (rowing) A boat for two sweep rowers.
- (Australia, politics) The exclusion of one member of a parliamentary party from a vote, if a member of the other party is absent for important personal reasons.
- A couple of working animals attached to work together, as by a yoke.
- (cricket) A score of zero runs (a duck) in both innings of a two-innings match.
noun
- (algebra, order theory, lattice theory) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).
- (algebra) A subsemigroup with the property that if any semigroup element outside of it is added to any one of its members, the result must lie outside of it.
- A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
- (algebra, Lie theory) A Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket [𝖌,𝖍] is a subset of 𝖍.
- (algebra, ring theory) A two-sided ideal; a subset of a ring which is closed under both left and right multiplication by elements of the ring.
- (set theory) A collection of sets, considered small or negligible, such that every subset of each member and the union of any two members are also members of the collection.
- model of excellence or perfection of a kind; one having no equal
- the idea of something that is perfect; something that one hopes to attain
adj
- Existing only in the mind; conceptual, imaginary.
- Optimal; being the best possibility.
- Teaching or relating to the doctrine of idealism.
- Pertaining to ideas, or to a given idea.
- Perfect, flawless, having no defects.
- (mathematics) Not actually present, but considered as present when limits at infinity are included.
- of or relating to the philosophical doctrine of the reality of ideas
- conforming to an ultimate standard of perfection or excellence; embodying an ideal
- constituting or existing only in the form of an idea or mental image or conception
noun
- (mathematics) A collection of objects, disregarding order, but (unlike a set) in which elements may be repeated.
- (UK) A unit of measure of cement equal to 94 pounds.
- (informal) A large number or amount.
- (vulgar) The scrotum.
- The quantity of game bagged in a hunt.
- A soft container made out of cloth, paper, thin plastic, etc. and open at the top, used to hold food, commodities, and other goods.
- A small envelope that contains drugs, especially narcotics.
- An udder, especially the pendulous one of a dairy cow.
- (colloquial) One's preference.
- (baseball) First, second, or third base.
- A container made of leather, plastic, or other material, usually with a handle or handles, in which you carry personal items, or clothes or other things that you need for travelling. Includes shopping bags, schoolbags, suitcases, briefcases, handbags, backpacks, etc.
- (Cockney rhyming slang) £1000, a grand.
- (chiefly in the plural) A dark circle under the eye, caused by lack of sleep, drug addiction etc.
- (preceded by the) A breathalyzer, so named because it formerly had a plastic bag over the end to measure a set amount of breath.
- (US, gay slang, derogatory) A fellow gay man.
- (countable, uncountable) In certain phrases: money.
- A sac in animal bodies, containing some fluid or other substance.
- (now historical) A pouch tied behind a man's head to hold the back-hair of a wig; a bag wig.
- (derogatory) An ugly woman.
- (baseball) The cloth-covered pillow used for first, second, and third base.
- (usually in the plural) The human female breast.
- a portable rectangular container for carrying clothes
- a container used for carrying money and small personal items or accessories (especially by women)
- an ugly or ill-tempered woman
- the quantity of game taken in a particular period (usually by one person)
- a place that the runner must touch before scoring
- a flexible container with a single opening
- an activity that you like or at which you are superior
- the quantity that a bag will hold
- mammary gland of bovids (cows and sheep and goats)
verb
- (nautical, intransitive) To drop away from the correct course.
- (informal) To catch or kill, especially when fishing or hunting.
- (Australia, slang) To criticise sarcastically.
- To forget, ignore, or get rid of.
- (transitive) To furnish or load with a bag.
- (transitive, medicine) To provide with artificial ventilation via a bag valve mask (BVM) resuscitator.
- (slang) To arrest.
- (transitive, medicine) To fit with a bag to collect urine.
- To hang like an empty bag.
- (transitive) To put into a bag.
- (slang, African-American Vernacular) To laugh uncontrollably.
- (slang, African-American Vernacular) To take a woman away with one as a romantic or sexual interest.
- (slang) To steal.
- To gain possession of something, or to make first claim on something.
- hang loosely, like an empty bag
- put into a bag
- bulge out; form a bulge outward, or be so full as to appear to bulge
- take unlawfully
- capture or kill, as in hunting
noun
- (set theory) A transfinite ordinal number referring to the next position after ordering a countably infinite set.
- The twenty-fourth letter of the Classical and the Modern Greek alphabet, and the twenty-eighth letter of the Old and the Ancient Greek alphabet, i.e. the last letter of every Greek alphabet. Uppercase version: Ω; lowercase: ω.
- (fandom slang) In omegaverse fiction, a person of a submissive secondary sex driven by biology, magic, or other means to bond with an alpha, with males of this type often being able to get pregnant.
- (slang) An omega male.
- (finance) The percentage change in an option value divided by the percentage change in the underlying asset's price.
- (physics) Angular velocity; symbol: ω.
- (often capitalized) The end; the final, last or ultimate in a sequence.
- the last (24th) letter of the Greek alphabet
- the ending of a series or sequence
adj
adv
adj
noun
- (order theory) A partially ordered set.
- (order theory) The relation with which a partially ordered set is equipped.
- (Christianity) An ecclesiastical rank or position, usually for the sake of ministry, (especially, when plural) holy orders.
- (countable) An association of knights.
- (sciences, engineering, logic) Scale: size or scope.
- (algebra, of a monomial) The sum of the exponents of the variables involved in the expression.
- (architecture) The disposition of a column and its component parts, and of the entablature resting upon it, in classical architecture; hence (since the column and entablature are the characteristic features of classical architecture) a style or manner of architectural design.
- (countable) Conformity with law or decorum; freedom from disturbance; general tranquillity; public quiet.
- (chemistry) The overall power of the rate law of a chemical reaction, expressed as a polynomial function of concentrations of reactants and products.
- (countable) A request for some product or service; a commission to purchase, sell, or supply goods.
- (uncountable) The state of being well arranged.
- (graph theory, of a graph) The number of vertices in the graph (i.e. the set-theoretic order of the set of vertices of the graph).
- (set theory, of a set or algebraic structure) The number of elements contained within (the given object); formally, the cardinality (of the given object).
- A number of things or persons arranged in a fixed or suitable place, or relative position; a rank; a row; a grade; especially, a rank or class in society; a distinct character, kind, or sort.
- Any group of people with common interests.
- (countable) A command.
- (electronics) A power of polynomial function in an electronic circuit’s block, such as a filter, an amplifier, etc.
- (finance) A written direction to furnish someone with money or property; compare money order, postal order.
- (countable) A position in an arrangement, disposition, or sequence.
- (group theory, of an element g of a group G) The smallest positive natural number n such that (denoting the group operation multiplicatively) gⁿ is the identity element of G, if such an n exists; if no such n exists the element is said to be of infinite order (or sometimes zero order).
- (countable) A decoration, awarded by a government, a dynastic house, or a religious body to an individual, usually for distinguished service to a nation or to humanity.
- (countable, biology, taxonomy) A category in the classification of organisms, ranking below class and above family; a taxon at that rank.
- (cricket) The sequence in which a side’s batsmen bat; the batting order.
- (algebra, of a polynomial in one variable) The order of the leading monomial; (equivalently) the largest power of the variable involved in the given expression.
- (countable) Arrangement, disposition, or sequence.
- (countable) A group of religious adherents, especially monks or nuns, set apart within their religion by adherence to a particular rule or set of principles.
- a request for something to be made, supplied, or served
- established customary state (especially of society)
- logical or comprehensible arrangement of separate elements
- a body of rules followed by an assembly
- a formal association of people with similar interests
- a commercial document used to request someone to supply something in return for payment and providing specifications and quantities
- the act of putting things in a sequential arrangement
- a degree in a continuum of size or quantity
- a condition of regular or proper arrangement
- (often plural) a command given by a superior (e.g., a military or law enforcement officer) that must be obeyed
- a group of person living under a religious rule
- (biology) taxonomic group containing one or more families
- a legally binding command or decision entered on the court record (as if issued by a court or judge)
- (architecture) one of original three styles of Greek architecture distinguished by the type of column and entablature used or a style developed from the original three by the Romans
verb
- (transitive) To set in some sort of order.
- (transitive) To issue a command to; to charge.
- (transitive) To arrange, set in proper order.
- To admit to holy orders; to ordain; to receive into the ranks of the ministry.
- (transitive) To request some product or service; to secure by placing an order.
- give instructions to or direct somebody to do something with authority
- issue commands or orders for
- arrange thoughts, ideas, temporal events
- bring into conformity with rules or principles or usage; impose regulations
- bring order to or into
- make a request for something
- appoint to a clerical posts
- place in a certain order
- assign a rank or rating to
noun
- (mathematics) A partially ordered set with the following additional axiomatic properties: any finite subset of it has a meet, any arbitrary subset of it has a join, and distributivity, which states that a binary meet distributes with respect to an arbitrary join. (Note: locales are just like frames except that the category of locales is opposite to the category of frames.)
- The place where something happens.
- (computing) The set of settings related to the language and region in which a computer program executes. Examples are language, currency and time formats, character encoding etc.
- the scene of any event or action (especially the place of a meeting)
noun
- (mathematics, order theory) A partially ordered set in which every pair of elements has a unique supremum and a unique infimum.
- (crystallography) A regular spacing or arrangement of geometric points, often decorated with a motif.
- (music) A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.
- (topology, Lie theory, generalizing noun sense 5.1) A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.
- (heraldry) A bearing with vertical and horizontal bands that cross each other.
- A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.
- (group theory) A discrete subgroup of Rⁿ which is isomorphic to Zⁿ (considered as an additive group) and which spans the real vector space Rⁿ.
- (algebra, ring theory, generalizing noun sense 5.1, with respect to a vector space V over a field F which is the field of fractions of an integral domain R in F) A finitely generated R-submodule of V which spans V over F. (In this case the submodule is called an R-lattice).
- an arrangement of points or particles or objects in a regular periodic pattern in 2 or 3 dimensions
- framework consisting of an ornamental design made of strips of wood or metal
- small opening (like a window in a door) through which business can be transacted
verb
noun
- (mathematics) An upper set; a subset (X,≤) of a partially ordered set with the property that, if x is in U and x≤y, then y is in U.
- (uncountable) Disturbance or disruption.
- (automobile insurance) An overturn.
- (countable, sports, politics) An unexpected victory of a competitor or candidate that was not favored to win.
- (aviation) The dangerous situation where the flight attitude or airspeed of an aircraft is outside the designed bounds of operation, possibly resulting in loss of control.
- An upset stomach.
- (basketry) A woven row supporting the foundation rods for the uprights of a basket.
- a tool used to thicken or spread metal (the end of a bar or a rivet etc.) by forging or hammering or swaging
- an improbable and unexpected victory
- an unhappy and worried mental state
- the act of upsetting something
- the act of disturbing the mind or body
- a physical condition in which there is a disturbance of normal functioning
adj
- (of a stomach or gastrointestinal tract) Feeling unwell, nauseated, or ready to vomit.
- (of a person, predicative only) Angry, distressed, or unhappy
- used of an unexpected defeat of a team favored to win
- thrown into a state of disarray or confusion
- mildly physically distressed
- afflicted with or marked by anxious uneasiness or trouble or grief
- having been turned so that the bottom is no longer the bottom
verb
- To shorten (a tire) in the process of resetting, originally by cutting it and hammering on the ends.
- (transitive) To defeat unexpectedly.
- (intransitive) To be upset or knocked over.
- (transitive, basketry) To support with an upset (type of woven row).
- (transitive) To tip or overturn (something).
- (transitive) To make (a person) angry, distressed, or unhappy.
- (metalworking) To thicken and shorten a soft or heated piece of metal, by forging or hammering on the end, to shape, for example, rivets or internal combustion engine valves.
- (transitive) To disturb, disrupt or adversely alter (something).
- form metals with a swage
- disturb the balance or stability of
- cause to lose one's composure
- cause to overturn from an upright or normal position
- defeat suddenly and unexpectedly
- move deeply
noun
- An orderly series, arrangement or sequence.
- A group of hedgehogs.
- Order; a regular and imposing arrangement; disposition in regular lines; hence, order of battle.
- Clothing and ornamentation; raiment.
- A large collection.
- A microarray.
- (military) A militia.
- (programming) Any of various data structures designed to hold multiple elements of the same type; especially, a data structure that holds these elements in adjacent memory locations so that they may be retrieved using numeric indices.
- (law) A ranking or setting forth in order, by the proper officer, of a jury as impanelled in a cause; the panel itself; or the whole body of jurors summoned to attend the court.
- (mathematics) A matrix.
- A collection laid out to be viewed in full.
- an arrangement of aerials spaced to give desired directional characteristics
- an orderly arrangement
- especially fine or decorative clothing
- an impressive display
verb
- To clothe and ornament; to adorn or attire.
- To lay out in an orderly arrangement; to deploy or marshal.
- (law) To set in order, as a jury, for the trial of a cause; that is, to call them one at a time.
- lay out orderly or logically in a line or as if in a line
- align oneself with a group or a way of thinking
noun
- (mathematics, order theory) A non-empty upper set (of a partially ordered set) which is closed under binary infima (a.k.a. meets).
- Electronics or software that separates unwanted signals (for example noise) from wanted signals or that attenuates selected frequencies.
- A device which separates a suspended, dissolved, or particulate matter from a fluid, solution, or other substance; any device that separates one substance from another.
- (figurative) Self-restraint in speech.
- (social media) An appearance-altering digital image effect.
- (photography) A translucent object placed in the light path of a camera to remove certain wavelengths (colors), or a computer program that simulates such an effect.
- Any item, mechanism, device, or procedure that acts to separate or isolate.
- an electrical device that alters the frequency spectrum of signals passing through it
- device that removes something from whatever passes through it
verb
- (intransitive) To ride a motorcycle between lanes on a road
- (transitive) To sort, sift, or isolate.
- (intransitive) To pass through a filter or to act as though passing through a filter.
- (intransitive) To move slowly or gradually; to come or go a few at a time.
- (transitive) To diffuse; to cause to be less concentrated or focused.
- (intransitive, derogatory, fandom slang) To be discouraged where a connoisseur or hardcore fan would not.
- pass through
- run or flow slowly, as in drops or in an unsteady stream
- remove by passing through a filter
noun
- (mathematics, set theory, order theory) A totally ordered set, especially a totally ordered subset of a poset.
- A livery collar, a chain of office.
- (algebraic topology, homological algebra, more generally) An element of a group (or module) in a chain complex.
- A unit of length, exactly equal to 22 yards, which is 4 rods or 100 links, and approximately equal to 20.12 metres; the length of a Gunter's surveying chain; the length of a cricket pitch.
- That which confines, fetters, or secures; a bond.
- A series of stores or businesses with the same brand name.
- A series of interconnected things.
- (weaving) The warp threads of a web.
- (British) A sequence of linked house purchases, each of which is dependent on the preceding and succeeding purchase (said to be "broken" if a buyer or seller pulls out).
- (surveying) A series of interconnected links of known length, used as a measuring device.
- A series of interconnected rings or links usually made of metal.
- (surveying) A long measuring tape.
- (nautical, in the plural) Iron links bolted to the side of a vessel to bold the dead-eyes connected with the shrouds; also, the channels.
- (algebraic topology, originally) A formal sum of cells in a CW complex of a certain dimension k (in which case the formal sums are called k'''-chains); a formal sum of simplices or cubes of a certain dimension in a simplical complex or cubical complex (respectively).
- (organic chemistry, physical chemistry) A number of atoms in a series, which combine to form a molecule.
- a unit of length
- a series of things depending on each other as if linked together
- (chemistry) a series of linked atoms (generally in an organic molecule)
- anything that acts as a restraint
- a series of (usually metal) rings or links fitted into one another to make a flexible ligament
- a necklace made by stringing objects together
- a linked or connected series of objects
- (business) a number of similar establishments (stores or restaurants or banks or hotels or theaters) under one ownership
- a series of hills or mountains
verb
- (computing) To be chained to another data item.
- (transitive, computing, rare, associated with Acorn Computers) To load and automatically run (a program).
- (intransitive) To link multiple items together.
- (figurative) To connect as if with a chain, due to dependence, addiction, or other feelings
- (computing) To relate data items with a chain of pointers.
- (transitive) To measure a distance using a 66-foot long chain, as in land surveying.
- (figurative) To obligate.
- (transitive) To secure someone with fetters.
- (transitive) To fasten something with a chain.
- (transitive) To obstruct the mouth of a river etc with a chain.
- fasten or secure with chains
- connect or arrange into a chain by linking
noun
verb
noun
- (mathematics, of a set, whose subsets are partially ordered by inclusion) A proper filter which has a law of dichotomy for complements.
- A device that performs ultrafiltration.
- (mathematics, order theory) A filter (subset of a poset) that is maximal as a set with respect to the definition of proper filter.
verb
noun
- (mathematics, order theory) A family of sets closed under finite union and finite intersection.
- (colloquial) A telephone call.
- (typography) A diacritical mark in the shape of a hollow circle placed above or under the letter; a kroužek.
- Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
- In a jack plug, the connector between the tip and the sleeve.
- (Internet) Ellipsis of webring.
- A circular group of people or objects.
- (astronomy) A formation of various pieces of material orbiting around a planet or young star.
- (vulgar) The rectum, anus, or anal sphincters.
- (historical) An instrument, formerly used for taking the sun's altitude, consisting of a brass ring suspended by a swivel, with a hole at one side through which a solar ray entering indicated the altitude on the graduated inner surface opposite.
- (chemistry) A group of atoms linked by bonds to form a closed chain in a molecule.
- A piece of food in the shape of a ring.
- An exclusive group of people, usually involving some unethical or illegal practices.
- (mathematical analysis, measure theory) A family of sets that is closed under finite unions and set-theoretic differences.
- (geometry) A planar geometrical figure included between two concentric circles.
- (historical) An old English measure of corn equal to the coomb or half a quarter.
- The resonant sound of a bell, or a sound resembling it.
- A chime, or set of bells harmonically tuned.
- (algebra) An algebraic structure as above, but only required to be a semigroup under the multiplicative operation, that is, there need not be a multiplicative identity element.
- (figuratively) A sound or appearance that is characteristic of something.
- A long stripe of contrastive material, colour, etc, that encircles something.
- (computing theory) A hierarchical level of privilege in a computer system, usually at hardware level, used to protect data and functionality (also protection ring).
- (British) A large circular prehistoric stone construction such as Stonehenge.
- A circumscribing object, (roughly) circular and hollow, looking like an annual ring, earring, finger ring etc.
- A place where some sports or exhibitions take place; notably a circular or comparable arena, such as a boxing ring or a circus ring; hence the field of a political contest.
- (jewelry) A round piece of (precious) metal worn around the finger or through the ear, nose, etc.
- (algebra) An algebraic structure which consists of a set with two binary operations: an additive operation and a multiplicative operation, such that the set is an abelian group under the additive operation, a monoid under the multiplicative operation, and such that the multiplicative operation is distributive with respect to the additive operation.
- (networking) A network topology where connected devices form a circular data channel. All computers on the ring can see every message, and there are no collisions, and a single point of failure will occur if any part of the ring breaks.
- (firearms) Either of the pair of clamps used to hold a telescopic sight to a rifle.
- (figuratively) A pleasant or correct sound.
- (UK) A burner on a kitchen stove.
- The open space in front of a racecourse stand, used for betting purposes.
- (cartomancy) The twenty-fifth Lenormand card.
- (botany) A flexible band partly or wholly encircling the spore cases of ferns.
- (UK) A bird band, a round piece of metal put around a bird's leg used for identification and studies of migration.
- a strip of material attached to the leg of a bird to identify it (as in studies of bird migration)
- a platform usually marked off by ropes in which contestants box or wrestle
- (chemistry) a chain of atoms in a molecule that forms a closed loop
- an association of criminals
- a rigid circular band of metal or wood or other material used for holding or fastening or hanging or pulling
- a characteristic sound
- jewelry consisting of a circlet of precious metal (often set with jewels) worn on the finger
- the sound of a bell ringing
- a toroidal shape
verb
- (transitive) To enclose or surround.
- (intransitive) to resound, reverberate, echo.
- (transitive) To attach a ring to, especially for identification.
- To ring up (enter into a cash register or till)
- (intransitive, figuratively) To produce the sound of a bell or a similar sound.
- (transitive, colloquial, British, Australia, New Zealand) To telephone (someone).
- (Australia, transitive) To ride around (a group of animals, especially cattle) to keep them milling in one place; hence (intransitive), to work as a drover, to muster cattle.
- (transitive, figuratively) To make an incision around; to girdle; to cut away a circular tract of bark from a tree in order to kill it.
- (transitive) To make (a bell, etc.) produce a resonant sound.
- (transitive) To surround or fit with a ring, or as if with a ring.
- (intransitive) Of a bell, etc., to produce a resonant sound.
- (transitive) To steal and change the identity of (cars) in order to resell them.
- (transitive) To produce (a sound) by ringing.
- (falconry) To rise in the air spirally.
- (intransitive) To produce music with bells.
- (intransitive, figuratively) Of something spoken or written, to appear to be, to seem, to sound.
- sound loudly and sonorously
- ring or echo with sound
- attach a ring to the foot of, in order to identify
- get or try to get into communication (with someone) by telephone
- make (bells) ring, often for the purposes of musical edification
- extend on all sides of simultaneously; encircle
noun
- the set of ordered pairs of two given sets
- (mathematics) Any of several generalizations of the set-theoretic sense, especially one which shares the geometrical intuition outlined above, i.e. one such that the product can be thought of as an object in its own right and not just as a set of pairs.
- (set theory, of two sets X and Y) The set of all possible ordered pairs of elements, the being first from X, the second from Y, written X×Y. Formally, the set (x,y);|;x∈X;and;y∈Y.
- (geometry, of an m-dimensional space X and an n-dimensional space Y) An (m+n)-dimensional space, formally composed of all possible ordered pairs of points from X and Y, but thought of as an independent (m+n)-dimensional space (in the sense that if, e.g. X and Y are vector spaces, the elements of X×Y are thought of as (m+n)-tuples instead of ordered pairs) and written X×Y.
- (databases) All possible combinations of rows between all of the tables listed.
noun
- the set of ordered pairs of two given sets
- (set theory) The set of all possible tuples whose elements are elements of given, separately specified, sets.
- (topology) A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
- (group theory) Such a set of tuples formed from two or more groups, forming another group whose group operation is the component-wise application of the original group operations and of which the original groups are normal subgroups.
- (category theory) A high-level generalization of the preceding that applies to objects in an arbitrary category and produces a new object constructable by morphisms from each of the original objects.
- (ring theory) Such a set of tuples formed from two or more rings, forming another ring whose operations arise from the component-wise application of the corresponding original ring operations.
- (mathematics) Any of a number of mathematical objects analogously derived from a given ordered set of objects.
noun
- the set of ordered pairs of two given sets
- a consequence of someone's efforts or of a particular set of circumstances
- a quantity obtained by multiplication
- items for sale to the individual consumer
- a chemical substance formed as a result of a chemical reaction
- an artifact that has been created by someone or some process
- A consequence of someone's efforts or of a particular set of circumstances.
- Any tangible or intangible good or service that is a result of a process and that is intended for delivery to a customer or end user.
- (countable, uncountable) A commodity offered for sale.
- (arithmetic) A quantity obtained by multiplication of two or more numbers.
- The amount of an artifact that has been created by someone or some process.
- (chemistry) A chemical substance formed as a result of a chemical reaction.
- (US, slang) Illegal drugs, especially cocaine, when viewed as a commodity.
- (mathematics) Any operation or a result thereof which generalises multiplication of numbers, like the multiplicative operation in a ring, product of types or a categorical product.
- (cosmetics, uncountable) Ellipsis of beauty product: any preparation to be applied to the hair, skin, nails, etc. Often specifically a preparation used to hold one's hair in a desired arrangement.
- Anything that is produced; a result.
noun
- (mathematics, uncountable) The branch of mathematics concerned with lattices (partially ordered sets).
- (physics, countable and uncountable) A lattice model, a mathematical model based on a lattice (discrete subgroup of Rⁿ); the study of such models.
- (particle physics, countable and uncountable) (A) lattice gauge theory.
noun
- (mathematics) Given sets (A₁, A₂, ..., Aₙ) and their total orderings (<₁, <₂, ..., <ₙ), the order <ᵈ of A₁ × A₂ × ... × Aₙ such that (a₁, a₂, ..., aₙ) <ᵈ (b₁,b₂, ..., bₙ) iff (∃m > 0) (∀ i < m) (aᵢ = bᵢ ) and (aₘ <ₘ bₘ )
- (mathematics) Formally, given two partially ordered sets A and B, the order ≤ on the Cartesian product A × B such that (a,b) ≤ (a′,b′) if and only if a < a′ or (a = a′ and b ≤ b′).
noun
- (algebra, order theory, lattice theory) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).
- (algebra) A subsemigroup with the property that if any semigroup element outside of it is added to any one of its members, the result must lie outside of it.
- A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
- (algebra, Lie theory) A Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket [𝖌,𝖍] is a subset of 𝖍.
- (algebra, ring theory) A two-sided ideal; a subset of a ring which is closed under both left and right multiplication by elements of the ring.
- (set theory) A collection of sets, considered small or negligible, such that every subset of each member and the union of any two members are also members of the collection.
- model of excellence or perfection of a kind; one having no equal
- the idea of something that is perfect; something that one hopes to attain
adj
- Existing only in the mind; conceptual, imaginary.
- Optimal; being the best possibility.
- Teaching or relating to the doctrine of idealism.
- Pertaining to ideas, or to a given idea.
- Perfect, flawless, having no defects.
- (mathematics) Not actually present, but considered as present when limits at infinity are included.
- of or relating to the philosophical doctrine of the reality of ideas
- conforming to an ultimate standard of perfection or excellence; embodying an ideal
- constituting or existing only in the form of an idea or mental image or conception
noun
- (mathematics) A collection of objects, disregarding order, but (unlike a set) in which elements may be repeated.
- (UK) A unit of measure of cement equal to 94 pounds.
- (informal) A large number or amount.
- (vulgar) The scrotum.
- The quantity of game bagged in a hunt.
- A soft container made out of cloth, paper, thin plastic, etc. and open at the top, used to hold food, commodities, and other goods.
- A small envelope that contains drugs, especially narcotics.
- An udder, especially the pendulous one of a dairy cow.
- (colloquial) One's preference.
- (baseball) First, second, or third base.
- A container made of leather, plastic, or other material, usually with a handle or handles, in which you carry personal items, or clothes or other things that you need for travelling. Includes shopping bags, schoolbags, suitcases, briefcases, handbags, backpacks, etc.
- (Cockney rhyming slang) £1000, a grand.
- (chiefly in the plural) A dark circle under the eye, caused by lack of sleep, drug addiction etc.
- (preceded by the) A breathalyzer, so named because it formerly had a plastic bag over the end to measure a set amount of breath.
- (US, gay slang, derogatory) A fellow gay man.
- (countable, uncountable) In certain phrases: money.
- A sac in animal bodies, containing some fluid or other substance.
- (now historical) A pouch tied behind a man's head to hold the back-hair of a wig; a bag wig.
- (derogatory) An ugly woman.
- (baseball) The cloth-covered pillow used for first, second, and third base.
- (usually in the plural) The human female breast.
- a portable rectangular container for carrying clothes
- a container used for carrying money and small personal items or accessories (especially by women)
- an ugly or ill-tempered woman
- the quantity of game taken in a particular period (usually by one person)
- a place that the runner must touch before scoring
- a flexible container with a single opening
- an activity that you like or at which you are superior
- the quantity that a bag will hold
- mammary gland of bovids (cows and sheep and goats)
verb
- (nautical, intransitive) To drop away from the correct course.
- (informal) To catch or kill, especially when fishing or hunting.
- (Australia, slang) To criticise sarcastically.
- To forget, ignore, or get rid of.
- (transitive) To furnish or load with a bag.
- (transitive, medicine) To provide with artificial ventilation via a bag valve mask (BVM) resuscitator.
- (slang) To arrest.
- (transitive, medicine) To fit with a bag to collect urine.
- To hang like an empty bag.
- (transitive) To put into a bag.
- (slang, African-American Vernacular) To laugh uncontrollably.
- (slang, African-American Vernacular) To take a woman away with one as a romantic or sexual interest.
- (slang) To steal.
- To gain possession of something, or to make first claim on something.
- hang loosely, like an empty bag
- put into a bag
- bulge out; form a bulge outward, or be so full as to appear to bulge
- take unlawfully
- capture or kill, as in hunting
noun
- (set theory) A transfinite ordinal number referring to the next position after ordering a countably infinite set.
- The twenty-fourth letter of the Classical and the Modern Greek alphabet, and the twenty-eighth letter of the Old and the Ancient Greek alphabet, i.e. the last letter of every Greek alphabet. Uppercase version: Ω; lowercase: ω.
- (fandom slang) In omegaverse fiction, a person of a submissive secondary sex driven by biology, magic, or other means to bond with an alpha, with males of this type often being able to get pregnant.
- (slang) An omega male.
- (finance) The percentage change in an option value divided by the percentage change in the underlying asset's price.
- (physics) Angular velocity; symbol: ω.
- (often capitalized) The end; the final, last or ultimate in a sequence.
- the last (24th) letter of the Greek alphabet
- the ending of a series or sequence
adj
adv
verb
noun
adj
verb
- arrange in pairs
- bring two objects, ideas, or people together
- form a pair or pairs
- occur in pairs
- engage in sexual intercourse
- (politics, slang) To engage (oneself) with another of opposite opinions not to vote on a particular question or class of questions.
- (intransitive) To suit; to fit, as a counterpart.
- (transitive) To bring two (animals, notably dogs) together for mating.
- (computing) to link two electronic devices wirelessly together, especially through a protocol such as Bluetooth.
- (transitive) To group into one or more sets of two.
- (intransitive) To come together for mating.
noun
- two people considered as a unit
- a set of two similar things considered as a unit
- a poker hand with 2 cards of the same value
- two items of the same kind
- (baseball, informal) A double play, two outs recorded in one play.
- (baseball, informal) A doubleheader, two games played on the same day between the same teams.
- (card games) A poker hand that contains two cards of identical rank, which cannot also count as a better hand.
- (slang) A pair of testicles.
- Two alike or identical things taken together; often followed by of.
- Two members of opposite parties or opinion, as in a parliamentary body, who mutually agree not to vote on a given question, or on issues of a party nature during a specified time.
- One of the constituent items that make up a pair.
- (kinematics) In a mechanism, two elements, or bodies, which are so applied to each other as to mutually constrain relative motion; named in accordance with the motion it permits, as in turning pair, sliding pair, twisting pair.
- Two people in a relationship, partnership or friendship.
- Used with binary nouns (often in the plural to indicate multiple instances, since such nouns are plural only, except in some technical contexts).
- (slang) A pair of breasts.
- (rowing) A boat for two sweep rowers.
- (Australia, politics) The exclusion of one member of a parliamentary party from a vote, if a member of the other party is absent for important personal reasons.
- A couple of working animals attached to work together, as by a yoke.
- (cricket) A score of zero runs (a duck) in both innings of a two-innings match.
adj
noun
adj
- (mathematics, of a partial order ≤) Such that any two elements are comparable, i.e. for all a and b, either a ≤ b, or b ≤ a.
- (mathematics, of a function) Defined on all possible inputs.
- Entire; relating to the whole of something.
- (mathematics, more generally, of a relation R on X × Y) Left total: Such that for every x in X there is a y in Y with x R y.
- (used as an intensifier) Complete; absolute.
- constituting the full quantity or extent; complete
- complete in extent or degree and in every particular
noun
verb
adj
noun
- (logic) Said of a set of well-formed formulas: that it is as large as it can be without being inconsistent; i.e. that for any well-formed formula φ, the set contains either φ or ~φ.
- (mathematics) The element of a set with the greatest magnitude.
- (mathematics) Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be without being trivial (improper).
adj
- (mathematics, of a semigroup) generated by a set containing only a single element
- producing offspring of only one sex, exhibiting monogeny
- of or relating to monogenesis or to monogenism
- (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