Parole in English per 'Any metric space whose elements are functions'
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noun
- (mathematics) The extent to which a subspace is curved within a metric space.
- (differential geometry) The extent to which a Riemannian manifold is intrinsically curved.
- The shape of something curved.
- the rate of change (at a point) of the angle between a curve and a tangent to the curve
- the property possessed by the curving of a line or surface
- (medicine) a curving or bending; often abnormal
noun
- (mathematics) The act of making a metric space complete by adding points.
- (mathematics) The space resulting from such an act.
- (law) The conclusion of an act of conveyancing concerning the sale of a property.
- (computing) Synonym of autocomplete.
- (American football) A forward pass that is successfully caught by the intended receiver.
- The act or state of being or making something complete; conclusion, accomplishment.
- a concluding action
- (American football) a successful forward pass in football
noun
- (mathematics, geometry) An operation on a metric space that is a continuous isometry and fixes at least one point.
- A regular variation in a sequence, such as to even out wear, or people taking turns in a task; a duty roster.
- (baseball) The set of starting pitchers of a team.
- A single complete cycle around a centre or an axis.
- (aviation) The step during takeoff when the pilot commands the vehicle to lift the nose wheel off the ground during the takeoff roll. (see also: V2)
- Repeated play of songs on a radio station, advertisements on a television channel, etc.
- (chiefly uncountable) The act of turning around a centre or an axis.
- (finance) Тhe movement of investments between different sectors of an economy, or styles of investing, based on anticipated changes in the economic or market cycle.
- a planned recurrent sequence (of crops or personnel etc.)
- (mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin
- the act of rotating as if on an axis
- a single complete turn (axial or orbital)
noun
- (mathematics) The shortest noncontractible loop on a compact metric space.
- (biology) The contraction of the contractile vesicles in certain algae, plasmodia, and zoospores.
- (prosody) A shortening of a naturally long vowel.
- (physiology) The rhythmic contraction of the heart, by which blood is driven through the arteries.
- the contraction of the chambers of the heart (especially the ventricles) to drive blood into the aorta and pulmonary artery
adj
- (linear algebra) Being the space of all linear functionals of (some other space).
- (grammar) Pertaining to a grammatical number in certain languages that refers to two of something, such as a pair of shoes.
- Pertaining to two, pertaining to a pair of.
- (category theory) Being the dual of some other category; containing the same objects but with source and target reversed for all morphisms.
- (mathematics, physics) Exhibiting duality.
- Characterized by having two (usually equivalent) components.
- having more than one decidedly dissimilar aspects or qualities
- consisting of or involving two parts or components usually in pairs
- a grammatical number category referring to two items or units as opposed to one item (singular) or more than two items (plural)
noun
- (geometry) Of a regular polyhedron with V vertices and F faces, the regular polyhedron having F vertices and V faces.
- (wrestling) A head-to-head match or meet between two teams, such as two high schools or colleges.
- (grammar) The dual number.
- (mathematics) Of a vector in an inner product space, the linear functional corresponding to taking the inner product with that vector. The set of all duals is a vector space called the dual space.
- Of an item that is one of a pair, the other item in the pair.
verb
noun
- (mathematics) Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined.
- a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
- Ordinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
noun
- (mathematics) A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their preimages.
- equality of measure (e.g., equality of height above sea level or equality of loudness etc.)
- the growth rates in different parts of a growing organism are the same
- equality of elevation above sea level
- a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points
noun
- (mathematics) The nondenumerable set of real numbers; more generally, any compact connected metric space.
- A continuous extent.
- (music) A touch-sensitive strip, similar to an electronic standard musical keyboard, except that the note steps are ¹⁄₁₀₀ of a semitone, and so are not separately marked.
- A continuous series or whole, no part of which is noticeably different from its adjacent parts, although the ends or extremes of it are very different from each other.
- a continuous nonspatial whole or extent or succession in which no part or portion is distinct or distinguishable from adjacent parts
noun
- a function of a topological space that gives, for any two points in the space, a value equal to the distance between them
- (mathematics) A metric tensor.
- a system of related measures that facilitates the quantification of some particular characteristic
- a decimal unit of measurement of the metric system (based on meters and kilograms and seconds)
- Abbreviation of metric system.
- A measure for something; a means of deriving a quantitative measurement or approximation for otherwise qualitative phenomena (especially used in engineering).
- (mathematical analysis) A function which satisfies a particular set of formal conditions, created to generalize the notion of the distance between two points. Formally, a real-valued function d on M×M, where M is a set, is called a metric if (1) d(x,y)=0 if and only if x=y, (2) d(x,y)=d(y,x) for all pairs (x,y), and (3) d obeys the triangle inequality.
adj
verb
noun
noun
- (countable, mathematics) A subset of a space which is a space in its own right.
- (uncountable, science fiction) An alternative dimension or universe, access to or use of which permits faster-than-light travel or communications; hyperspace.
- (uncountable, science fiction) Any (often unspecified) method of communicating or travelling faster than light speed.
- (BDSM) The psychological state of the submissive or bottom during sadomasochistic activity.
- a space that is contained within another space
adj
- (mathematics, of a metric space or a geometry) Having negative curvature or sectional curvature.
- (color theory) Of a perceived color, having a saturation exceeding 100%.
- Of or relating to hyperbole.
- (topology) Of, pertaining to, or in a hyperbolic space (a space having negative curvature or sectional curvature).
- (geometry, topology, of an automorphism) Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.
- Indicates that the specified function is a hyperbolic function rather than a trigonometric function.
- Using hyperbole: exaggerated.
- Of or pertaining to a hyperbola.
- enlarged beyond truth or reasonableness
- of or relating to a hyperbola
adv
- (topology) Of a covering space of finite degree.
- By computer or in cyberspace.
- Almost but not quite.
- (algebra) Of a subgroup of finite index.
- In essence or functionally, but not in fact, formally, or technically.
- in essence or effect but not in fact
- (of actions or states) slightly short of or not quite accomplished; all but
adj
- having the properties of space
- (mathematics, of a four-vector) having a space component of greater magnitude than its time component multiplied by the speed of light
- (physics, of the interval between two events in spacetime) lying outside each other's light cone, so that no information can pass from one to the other
noun
- (geometry) A transformation (of a Euclidean space) that preserves angles and the ratios of distances
- (philosophy) The relation of sharing properties.
- Closeness of appearance to something else.
- (mathematics, linear algebra) The property of two matrices being similar.
- a Gestalt principle of organization holding that (other things being equal) parts of a stimulus field that are similar to each other tend to be perceived as belonging together as a unit
- the quality of being similar
noun
- (geometry) A subset of n-dimensional space that is congruent to a Euclidean space of lower dimension.
- (American football) The areas behind the line of scrimmage to either side of an offensive football formation.
- (rail transport) A flat spot on the wheel of a rail vehicle.
- (publishing) A flat, glossy children's book with few pages.
- An area of level ground (sometimes covered with shallow or tidal water).
- (technical, theatre, stagecraft) A rectangular wooden structure covered with masonite, lauan, or muslin, often produced in standard modules, that is used to build wall surfaces on stage. Flats can be painted and outfitted with doors and/or windows to depict a building or other part of a scene, and are a hard-surfaced alternative to a backcloth or backdrop.
- (entomology) Any of various hesperiid butterflies that spread their wings open when they land.
- A flat sheet for use on a bed.
- (horse racing, with 'the' or attributively, sometimes with capital) Level horse-racing ground, as contrasted with courses incorporating jumps, or the racing done on such ground.
- (postal) A large mail piece measuring at least 8 1/2 by 11 inches, such as catalogs, magazines, and unfolded paper enclosed in large envelopes.
- (music) A note played one chromatic semitone lower than a natural, denoted by the symbol ♭ placed after the letter representing the note (e.g., B♭) or in front of the note symbol (e.g. ♭♪).
- (in the plural) A type of ladies' shoe with a very low heel.
- (informal, automotive) A flat tyre/flat tire.
- (painting) A thin, broad brush used in oil and watercolour painting.
- (optics) A flat (i.e. plane) mirror
- Ellipsis of flat ride (“spinning amusement ride”).
- A wide, shallow container or pallet.
- (in the plural) A type of flat-soled running shoe without spikes.
- The most prominent flat part of something.
- A flat-bottomed boat, without keel, and of small draught.
- (swordfighting) The flat side of a blade, as opposed to the sharp edge.
- A straw hat, broad-brimmed and low-crowned.
- A platform on a wheel, upon which emblematic designs etc. are carried in processions.
- (Australia, horse racing, with 'the' or attributively, sometimes with capital) the area in the centre of a racecourse.
- (gambling, slang) A cheater's die with the edges shaved to make certain rolls more likely.
- (in the phrase 'the flat') Level ground in general.
- (historical) An early kind of toy soldier having a flat design.
- (US) Ellipsis of flat water (“nonfizzy drinking water”).
- (chiefly British, New England, South Africa, India, Australia, New Zealand, Singapore, archaic elsewhere) A complete domicile occupying only part of a building, especially one for rent
- (Canadian Prairies, British Columbia) A 24-case of beer.
- The palm of the hand, with the adjacent part of the fingers.
- (rail transport, US) A railroad car without a roof, and whose body is a platform without sides; a platform car or flatcar.
- (mining) A horizontal vein or ore deposit auxiliary to a main vein; also, any horizontal portion of a vein not elsewhere horizontal.
- a shallow box in which seedlings are started
- a deflated pneumatic tire
- scenery consisting of a wooden frame covered with painted canvas; part of a stage setting
- a level tract of land
- a musical notation indicating one half step lower than the note named
- a suite of rooms usually on one floor of an apartment house
- freight car without permanent sides or roof
adj
- (not comparable, commerce) Of fees, fares etc., fixed; unvarying.
- Smooth; having no protrusions, indentations or other surface irregularities, or relatively so.
- (golf, of a golf club) Having a head at a very obtuse angle to the shaft.
- At a consistently depressed level; consistently lacklustre.
- (of colours) Without variation in tone or hue (uniform), and dull (not glossy).
- (algebra, ring theory, of a ring homomorphism) Such that its target, regarded as a module over its source, is flat (as above).
- (music, note) Lowered by one semitone.
- In a horizontal line or plane; not sloping.
- (juggling, of a throw) Without spin; spinless.
- (algebraic geometry, scheme theory, of a morphism of schemes) Such that the induced map on every stalk is flat (as a map of rings).
- (authorship, figuratively, especially of a character) Lacking in depth, substance, or believability; underdeveloped; one-dimensional.
- (horticulture, of certain fruits) Flattening at the ends.
- (slang) Having small or invisible breasts and/or buttocks.
- (phonetics, of a vowel) Not diphthongal; without variation in height or backness.
- (of a tire or other inflated object) Deflated, especially because of a puncture.
- (homological algebra, of a module) Such that the tensor product preserves exact sequences. See Flat module on Wikipedia.Wikipedia.
- (of a battery) Unable to emit power; dead.
- (of measurements of time) Exact.
- Without variation in level, quantity, value, tone etc.
- Having no variations in height.
- (music) Of a note or voice, lower in pitch than it should be.
- (music, voice) Without variations in pitch.
- (figurative) Lacking liveliness or action; depressed; uninteresting; dull and boring.
- Absolute; downright; peremptory.
- (grammar) Not having an inflectional ending or sign, such as a noun used as an adjective, or an adjective as an adverb, without the addition of a formative suffix; or an infinitive without the sign "to".
- (wine) Lacking acidity without being sweet.
- (of coffee) Having little froth and little milk.
- (of a carbonated drink) With all or most of its carbon dioxide having come out of solution so that the drink no longer fizzes or contains any bubbles.
- sounded or spoken in a tone unvarying in pitch
- not reflecting light; not glossy
- having lost effervescence
- lacking contrast or shading between tones
- horizontally level
- stretched out and lying at full length along the ground
- having a relatively broad surface in relation to depth or thickness
- lacking taste or flavor or tang
- flattened laterally along the whole length (e.g., certain leafstalks or flatfishes)
- not modified or restricted by reservations
- commercially inactive
- lacking stimulating characteristics; uninteresting
- having a surface without slope, tilt in which no part is higher or lower than another
- (of a musical note) lowered in pitch by one chromatic semitone
- lacking the expected range or depth; not designed to give an illusion or depth
adv
- Completely, firmly, or unequivocally.
- Directly; flatly.
- (with units of time, distance, etc) Used to emphasize the smallness of the measurement.
- (finance, slang) Without allowance for accrued interest.
- Completely.
- (of accurately measured timings) Exactly, precisely.
- So as to be flat.
- (of a sentence) Without parole.
- with flat sails
- in a forthright manner; candidly or frankly
verb
- (transitive) To dash or throw
- (poker slang) To make a flat call; to call without raising.
- (intransitive) To become flat or flattened; to sink or fall to an even surface.
- (intransitive, music, colloquial) To fall from the pitch.
- (intransitive) To dash, rush
- (transitive, music) To depress in tone, as a musical note; especially, to lower in pitch by half a tone.
adj
- Such that every open cover has a finite subcover. In a metric space, this is equivalent to being sequentially compact. In metric spaces with the Heine-Borel property, this is equivalent to being closed and bounded.
- (of prose) Brief and pithy; not verbose.
- Having all necessary features fitting neatly into a small space.
- Closely packed or densely constituted; having much material in a small volume.
- Compact in the above sense and moreover Hausdorff.
- closely and firmly united or packed together
- briefly giving the gist of something
- having a short and solid form or stature
noun
- A broadsheet newspaper published in the size of a tabloid but keeping its non-sensational style.
- An agreement or contract.
- An automobile that is larger than a subcompact but smaller than an intermediate.
- A slim folding case, often featuring a mirror, powder and a powder puff, small enough to fit in a woman's purse, handbag, or pocket.
- a signed written agreement between two or more parties (nations) to perform some action
- a small cosmetics case with a mirror; to be carried in a woman's purse
- a small and economical car
verb
noun
- (mathematics) A continuous function from a topological space onto a subspace which is the identity on that subspace.
- A statement printed or broadcast in a public forum which effects the withdrawal of an earlier assertion, and which concedes that the earlier assertion was in error.
- An act or instance of retracting.
- a disavowal or taking back of a previous assertion
- the act of pulling or holding or drawing a part back
noun
verb
noun
- (mathematics) The set of points in a metric space of any number of dimensions lying within a given distance (the radius) of a given point.
- A jacketed non-expanding bullet, typically of military origin.
- (informal) A very enjoyable time.
- (rhythmic gymnastics, countable) An apparatus.
- (slang, countable, uncountable, singular only) One thousand US dollars.
- A competitive event among young African-American and Latin American LGBTQ+ people in which prizes are awarded for drag and similar performances. See ball culture.
- (sports, countable) An object that is the focus of many sports and games, in which it may be thrown, caught, kicked, bounced, rolled, chased, retrieved, hit with an instrument, spun, etc., usually roughly spherical or ovoid but whose size, weight, bounciness, colour, etc. differ according to the game
- A roundish, protuberant portion of some part of the body.
- A formal dance.
- The globe; the earthly sphere.
- (baseball, countable) A pitch that falls outside of the strike zone.
- (in the plural) Courage.
- (mathematics) The set of points in a topological space lying within some open set containing a given point.
- (mathematics) In 3-dimensional Euclidean space, the volume bounded by a sphere.
- (mildly vulgar, slang, usually in the plural) A testicle.
- (cricket, countable) A single delivery by the bowler, six of which make up an over.
- (farriery, historical) A large pill, a form in which medicine was given to horses; a bolus.
- (in the plural) Nonsense.
- (anatomy) The front of the bottom of the foot, just behind the toes.
- (printing, historical) A leather-covered cushion, fastened to a handle called a ballstock; formerly used by printers for inking the form, then superseded by the roller.
- (rhythmic gymnastics, metonymic) An apparatus program with a ball.
- (originally soccer, countable) a kick (or hit in e.g. field hockey) of the ball towards where one or more teammates is expected to be. (Distinguished from a pass by a longer distance travelled or less specific target point.)
- A solid or hollow sphere, or roughly spherical mass.
- (pinball, countable) An opportunity to launch the pinball into play.
- (uncountable) Any sport or game involving a ball; its play, literally or figuratively.
- A quantity of string, thread, etc., wound into a spherical shape.
- round object that is hit or thrown or kicked in games
- an object with a spherical shape
- a lavish dance requiring formal attire
- a spherical object used as a plaything
- a pitch that is not in the strike zone
- a solid projectile that is shot by a musket
- one of the two male reproductive glands that produce spermatozoa and secrete androgens
- a more or less rounded anatomical body or mass
- a compact mass
- a ball game played with a bat and ball between two teams of nine players; teams take turns at bat trying to score runs
intj
- (Australian rules football) An appeal by the crowd for holding the ball against a tackled player.
- (sports) An exclamation to inform players on an adjacent playing area that a loose ball from another game has entered their playing area; typically implies that play should be paused until the ball has been retrieved.
verb
- (ambitransitive) To gather balls which cling to the feet or skis, as of damp snow or clay; to gather into balls.
- (transitive) To form or wind into a ball.
- (transitive, intransitive, US, vulgar) To have sexual intercourse (with).
- (slang) To play basketball.
- (transitive) To punish by affixing a ball and chain.
- (African-American Vernacular) To spend money extravagantly.
- (intransitive) To operate (a vehicle) at high speed (whether balls-out, balls to the wall, or ballin' the jack, each of which comes ultimately from ball via a different route).
- (metalworking) To heat in a furnace and form into balls for rolling.
- (slang, usually in present participle) To be hip or cool.
- (university slang) To reject from a fraternity or sorority. (Ellipsis of blackball).
- (transitive) Of bees: to kill (a wasp) by surrounding it in large numbers so as to raise its body heat.
- form into a ball by winding or rolling
- to live very well
noun
- (mathematics) The extent to which a subspace is curved within a metric space.
- (differential geometry) The extent to which a Riemannian manifold is intrinsically curved.
- The shape of something curved.
- the rate of change (at a point) of the angle between a curve and a tangent to the curve
- the property possessed by the curving of a line or surface
- (medicine) a curving or bending; often abnormal
noun
- (mathematics) The act of making a metric space complete by adding points.
- (mathematics) The space resulting from such an act.
- (law) The conclusion of an act of conveyancing concerning the sale of a property.
- (computing) Synonym of autocomplete.
- (American football) A forward pass that is successfully caught by the intended receiver.
- The act or state of being or making something complete; conclusion, accomplishment.
- a concluding action
- (American football) a successful forward pass in football
noun
- (mathematics, geometry) An operation on a metric space that is a continuous isometry and fixes at least one point.
- A regular variation in a sequence, such as to even out wear, or people taking turns in a task; a duty roster.
- (baseball) The set of starting pitchers of a team.
- A single complete cycle around a centre or an axis.
- (aviation) The step during takeoff when the pilot commands the vehicle to lift the nose wheel off the ground during the takeoff roll. (see also: V2)
- Repeated play of songs on a radio station, advertisements on a television channel, etc.
- (chiefly uncountable) The act of turning around a centre or an axis.
- (finance) Тhe movement of investments between different sectors of an economy, or styles of investing, based on anticipated changes in the economic or market cycle.
- a planned recurrent sequence (of crops or personnel etc.)
- (mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin
- the act of rotating as if on an axis
- a single complete turn (axial or orbital)
noun
- (mathematics) The shortest noncontractible loop on a compact metric space.
- (biology) The contraction of the contractile vesicles in certain algae, plasmodia, and zoospores.
- (prosody) A shortening of a naturally long vowel.
- (physiology) The rhythmic contraction of the heart, by which blood is driven through the arteries.
- the contraction of the chambers of the heart (especially the ventricles) to drive blood into the aorta and pulmonary artery
noun
- (mathematics) Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined.
- a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
- Ordinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
noun
- (mathematics) A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their preimages.
- equality of measure (e.g., equality of height above sea level or equality of loudness etc.)
- the growth rates in different parts of a growing organism are the same
- equality of elevation above sea level
- a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points
noun
- (mathematics) The nondenumerable set of real numbers; more generally, any compact connected metric space.
- A continuous extent.
- (music) A touch-sensitive strip, similar to an electronic standard musical keyboard, except that the note steps are ¹⁄₁₀₀ of a semitone, and so are not separately marked.
- A continuous series or whole, no part of which is noticeably different from its adjacent parts, although the ends or extremes of it are very different from each other.
- a continuous nonspatial whole or extent or succession in which no part or portion is distinct or distinguishable from adjacent parts
noun
- a function of a topological space that gives, for any two points in the space, a value equal to the distance between them
- (mathematics) A metric tensor.
- a system of related measures that facilitates the quantification of some particular characteristic
- a decimal unit of measurement of the metric system (based on meters and kilograms and seconds)
- Abbreviation of metric system.
- A measure for something; a means of deriving a quantitative measurement or approximation for otherwise qualitative phenomena (especially used in engineering).
- (mathematical analysis) A function which satisfies a particular set of formal conditions, created to generalize the notion of the distance between two points. Formally, a real-valued function d on M×M, where M is a set, is called a metric if (1) d(x,y)=0 if and only if x=y, (2) d(x,y)=d(y,x) for all pairs (x,y), and (3) d obeys the triangle inequality.
adj
verb
noun
noun
- (countable, mathematics) A subset of a space which is a space in its own right.
- (uncountable, science fiction) An alternative dimension or universe, access to or use of which permits faster-than-light travel or communications; hyperspace.
- (uncountable, science fiction) Any (often unspecified) method of communicating or travelling faster than light speed.
- (BDSM) The psychological state of the submissive or bottom during sadomasochistic activity.
- a space that is contained within another space
noun
- (geometry) A transformation (of a Euclidean space) that preserves angles and the ratios of distances
- (philosophy) The relation of sharing properties.
- Closeness of appearance to something else.
- (mathematics, linear algebra) The property of two matrices being similar.
- a Gestalt principle of organization holding that (other things being equal) parts of a stimulus field that are similar to each other tend to be perceived as belonging together as a unit
- the quality of being similar
noun
- (geometry) A subset of n-dimensional space that is congruent to a Euclidean space of lower dimension.
- (American football) The areas behind the line of scrimmage to either side of an offensive football formation.
- (rail transport) A flat spot on the wheel of a rail vehicle.
- (publishing) A flat, glossy children's book with few pages.
- An area of level ground (sometimes covered with shallow or tidal water).
- (technical, theatre, stagecraft) A rectangular wooden structure covered with masonite, lauan, or muslin, often produced in standard modules, that is used to build wall surfaces on stage. Flats can be painted and outfitted with doors and/or windows to depict a building or other part of a scene, and are a hard-surfaced alternative to a backcloth or backdrop.
- (entomology) Any of various hesperiid butterflies that spread their wings open when they land.
- A flat sheet for use on a bed.
- (horse racing, with 'the' or attributively, sometimes with capital) Level horse-racing ground, as contrasted with courses incorporating jumps, or the racing done on such ground.
- (postal) A large mail piece measuring at least 8 1/2 by 11 inches, such as catalogs, magazines, and unfolded paper enclosed in large envelopes.
- (music) A note played one chromatic semitone lower than a natural, denoted by the symbol ♭ placed after the letter representing the note (e.g., B♭) or in front of the note symbol (e.g. ♭♪).
- (in the plural) A type of ladies' shoe with a very low heel.
- (informal, automotive) A flat tyre/flat tire.
- (painting) A thin, broad brush used in oil and watercolour painting.
- (optics) A flat (i.e. plane) mirror
- Ellipsis of flat ride (“spinning amusement ride”).
- A wide, shallow container or pallet.
- (in the plural) A type of flat-soled running shoe without spikes.
- The most prominent flat part of something.
- A flat-bottomed boat, without keel, and of small draught.
- (swordfighting) The flat side of a blade, as opposed to the sharp edge.
- A straw hat, broad-brimmed and low-crowned.
- A platform on a wheel, upon which emblematic designs etc. are carried in processions.
- (Australia, horse racing, with 'the' or attributively, sometimes with capital) the area in the centre of a racecourse.
- (gambling, slang) A cheater's die with the edges shaved to make certain rolls more likely.
- (in the phrase 'the flat') Level ground in general.
- (historical) An early kind of toy soldier having a flat design.
- (US) Ellipsis of flat water (“nonfizzy drinking water”).
- (chiefly British, New England, South Africa, India, Australia, New Zealand, Singapore, archaic elsewhere) A complete domicile occupying only part of a building, especially one for rent
- (Canadian Prairies, British Columbia) A 24-case of beer.
- The palm of the hand, with the adjacent part of the fingers.
- (rail transport, US) A railroad car without a roof, and whose body is a platform without sides; a platform car or flatcar.
- (mining) A horizontal vein or ore deposit auxiliary to a main vein; also, any horizontal portion of a vein not elsewhere horizontal.
- a shallow box in which seedlings are started
- a deflated pneumatic tire
- scenery consisting of a wooden frame covered with painted canvas; part of a stage setting
- a level tract of land
- a musical notation indicating one half step lower than the note named
- a suite of rooms usually on one floor of an apartment house
- freight car without permanent sides or roof
adj
- (not comparable, commerce) Of fees, fares etc., fixed; unvarying.
- Smooth; having no protrusions, indentations or other surface irregularities, or relatively so.
- (golf, of a golf club) Having a head at a very obtuse angle to the shaft.
- At a consistently depressed level; consistently lacklustre.
- (of colours) Without variation in tone or hue (uniform), and dull (not glossy).
- (algebra, ring theory, of a ring homomorphism) Such that its target, regarded as a module over its source, is flat (as above).
- (music, note) Lowered by one semitone.
- In a horizontal line or plane; not sloping.
- (juggling, of a throw) Without spin; spinless.
- (algebraic geometry, scheme theory, of a morphism of schemes) Such that the induced map on every stalk is flat (as a map of rings).
- (authorship, figuratively, especially of a character) Lacking in depth, substance, or believability; underdeveloped; one-dimensional.
- (horticulture, of certain fruits) Flattening at the ends.
- (slang) Having small or invisible breasts and/or buttocks.
- (phonetics, of a vowel) Not diphthongal; without variation in height or backness.
- (of a tire or other inflated object) Deflated, especially because of a puncture.
- (homological algebra, of a module) Such that the tensor product preserves exact sequences. See Flat module on Wikipedia.Wikipedia.
- (of a battery) Unable to emit power; dead.
- (of measurements of time) Exact.
- Without variation in level, quantity, value, tone etc.
- Having no variations in height.
- (music) Of a note or voice, lower in pitch than it should be.
- (music, voice) Without variations in pitch.
- (figurative) Lacking liveliness or action; depressed; uninteresting; dull and boring.
- Absolute; downright; peremptory.
- (grammar) Not having an inflectional ending or sign, such as a noun used as an adjective, or an adjective as an adverb, without the addition of a formative suffix; or an infinitive without the sign "to".
- (wine) Lacking acidity without being sweet.
- (of coffee) Having little froth and little milk.
- (of a carbonated drink) With all or most of its carbon dioxide having come out of solution so that the drink no longer fizzes or contains any bubbles.
- sounded or spoken in a tone unvarying in pitch
- not reflecting light; not glossy
- having lost effervescence
- lacking contrast or shading between tones
- horizontally level
- stretched out and lying at full length along the ground
- having a relatively broad surface in relation to depth or thickness
- lacking taste or flavor or tang
- flattened laterally along the whole length (e.g., certain leafstalks or flatfishes)
- not modified or restricted by reservations
- commercially inactive
- lacking stimulating characteristics; uninteresting
- having a surface without slope, tilt in which no part is higher or lower than another
- (of a musical note) lowered in pitch by one chromatic semitone
- lacking the expected range or depth; not designed to give an illusion or depth
adv
- Completely, firmly, or unequivocally.
- Directly; flatly.
- (with units of time, distance, etc) Used to emphasize the smallness of the measurement.
- (finance, slang) Without allowance for accrued interest.
- Completely.
- (of accurately measured timings) Exactly, precisely.
- So as to be flat.
- (of a sentence) Without parole.
- with flat sails
- in a forthright manner; candidly or frankly
verb
- (transitive) To dash or throw
- (poker slang) To make a flat call; to call without raising.
- (intransitive) To become flat or flattened; to sink or fall to an even surface.
- (intransitive, music, colloquial) To fall from the pitch.
- (intransitive) To dash, rush
- (transitive, music) To depress in tone, as a musical note; especially, to lower in pitch by half a tone.
noun
- (mathematics) A continuous function from a topological space onto a subspace which is the identity on that subspace.
- A statement printed or broadcast in a public forum which effects the withdrawal of an earlier assertion, and which concedes that the earlier assertion was in error.
- An act or instance of retracting.
- a disavowal or taking back of a previous assertion
- the act of pulling or holding or drawing a part back
noun
verb
noun
- (mathematics) The set of points in a metric space of any number of dimensions lying within a given distance (the radius) of a given point.
- A jacketed non-expanding bullet, typically of military origin.
- (informal) A very enjoyable time.
- (rhythmic gymnastics, countable) An apparatus.
- (slang, countable, uncountable, singular only) One thousand US dollars.
- A competitive event among young African-American and Latin American LGBTQ+ people in which prizes are awarded for drag and similar performances. See ball culture.
- (sports, countable) An object that is the focus of many sports and games, in which it may be thrown, caught, kicked, bounced, rolled, chased, retrieved, hit with an instrument, spun, etc., usually roughly spherical or ovoid but whose size, weight, bounciness, colour, etc. differ according to the game
- A roundish, protuberant portion of some part of the body.
- A formal dance.
- The globe; the earthly sphere.
- (baseball, countable) A pitch that falls outside of the strike zone.
- (in the plural) Courage.
- (mathematics) The set of points in a topological space lying within some open set containing a given point.
- (mathematics) In 3-dimensional Euclidean space, the volume bounded by a sphere.
- (mildly vulgar, slang, usually in the plural) A testicle.
- (cricket, countable) A single delivery by the bowler, six of which make up an over.
- (farriery, historical) A large pill, a form in which medicine was given to horses; a bolus.
- (in the plural) Nonsense.
- (anatomy) The front of the bottom of the foot, just behind the toes.
- (printing, historical) A leather-covered cushion, fastened to a handle called a ballstock; formerly used by printers for inking the form, then superseded by the roller.
- (rhythmic gymnastics, metonymic) An apparatus program with a ball.
- (originally soccer, countable) a kick (or hit in e.g. field hockey) of the ball towards where one or more teammates is expected to be. (Distinguished from a pass by a longer distance travelled or less specific target point.)
- A solid or hollow sphere, or roughly spherical mass.
- (pinball, countable) An opportunity to launch the pinball into play.
- (uncountable) Any sport or game involving a ball; its play, literally or figuratively.
- A quantity of string, thread, etc., wound into a spherical shape.
- round object that is hit or thrown or kicked in games
- an object with a spherical shape
- a lavish dance requiring formal attire
- a spherical object used as a plaything
- a pitch that is not in the strike zone
- a solid projectile that is shot by a musket
- one of the two male reproductive glands that produce spermatozoa and secrete androgens
- a more or less rounded anatomical body or mass
- a compact mass
- a ball game played with a bat and ball between two teams of nine players; teams take turns at bat trying to score runs
intj
- (Australian rules football) An appeal by the crowd for holding the ball against a tackled player.
- (sports) An exclamation to inform players on an adjacent playing area that a loose ball from another game has entered their playing area; typically implies that play should be paused until the ball has been retrieved.
verb
- (ambitransitive) To gather balls which cling to the feet or skis, as of damp snow or clay; to gather into balls.
- (transitive) To form or wind into a ball.
- (transitive, intransitive, US, vulgar) To have sexual intercourse (with).
- (slang) To play basketball.
- (transitive) To punish by affixing a ball and chain.
- (African-American Vernacular) To spend money extravagantly.
- (intransitive) To operate (a vehicle) at high speed (whether balls-out, balls to the wall, or ballin' the jack, each of which comes ultimately from ball via a different route).
- (metalworking) To heat in a furnace and form into balls for rolling.
- (slang, usually in present participle) To be hip or cool.
- (university slang) To reject from a fraternity or sorority. (Ellipsis of blackball).
- (transitive) Of bees: to kill (a wasp) by surrounding it in large numbers so as to raise its body heat.
- form into a ball by winding or rolling
- to live very well
adv
- (topology) Of a covering space of finite degree.
- By computer or in cyberspace.
- Almost but not quite.
- (algebra) Of a subgroup of finite index.
- In essence or functionally, but not in fact, formally, or technically.
- in essence or effect but not in fact
- (of actions or states) slightly short of or not quite accomplished; all but
adj
- (linear algebra) Being the space of all linear functionals of (some other space).
- (grammar) Pertaining to a grammatical number in certain languages that refers to two of something, such as a pair of shoes.
- Pertaining to two, pertaining to a pair of.
- (category theory) Being the dual of some other category; containing the same objects but with source and target reversed for all morphisms.
- (mathematics, physics) Exhibiting duality.
- Characterized by having two (usually equivalent) components.
- having more than one decidedly dissimilar aspects or qualities
- consisting of or involving two parts or components usually in pairs
- a grammatical number category referring to two items or units as opposed to one item (singular) or more than two items (plural)
noun
- (geometry) Of a regular polyhedron with V vertices and F faces, the regular polyhedron having F vertices and V faces.
- (wrestling) A head-to-head match or meet between two teams, such as two high schools or colleges.
- (grammar) The dual number.
- (mathematics) Of a vector in an inner product space, the linear functional corresponding to taking the inner product with that vector. The set of all duals is a vector space called the dual space.
- Of an item that is one of a pair, the other item in the pair.
verb
adj
- (mathematics, of a metric space or a geometry) Having negative curvature or sectional curvature.
- (color theory) Of a perceived color, having a saturation exceeding 100%.
- Of or relating to hyperbole.
- (topology) Of, pertaining to, or in a hyperbolic space (a space having negative curvature or sectional curvature).
- (geometry, topology, of an automorphism) Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.
- Indicates that the specified function is a hyperbolic function rather than a trigonometric function.
- Using hyperbole: exaggerated.
- Of or pertaining to a hyperbola.
- enlarged beyond truth or reasonableness
- of or relating to a hyperbola
adj
- having the properties of space
- (mathematics, of a four-vector) having a space component of greater magnitude than its time component multiplied by the speed of light
- (physics, of the interval between two events in spacetime) lying outside each other's light cone, so that no information can pass from one to the other
adj
- Such that every open cover has a finite subcover. In a metric space, this is equivalent to being sequentially compact. In metric spaces with the Heine-Borel property, this is equivalent to being closed and bounded.
- (of prose) Brief and pithy; not verbose.
- Having all necessary features fitting neatly into a small space.
- Closely packed or densely constituted; having much material in a small volume.
- Compact in the above sense and moreover Hausdorff.
- closely and firmly united or packed together
- briefly giving the gist of something
- having a short and solid form or stature
noun
- A broadsheet newspaper published in the size of a tabloid but keeping its non-sensational style.
- An agreement or contract.
- An automobile that is larger than a subcompact but smaller than an intermediate.
- A slim folding case, often featuring a mirror, powder and a powder puff, small enough to fit in a woman's purse, handbag, or pocket.
- a signed written agreement between two or more parties (nations) to perform some action
- a small cosmetics case with a mirror; to be carried in a woman's purse
- a small and economical car