English-Wörter für 'non-Euclidean geometry'
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Suchergebnisse
adj
- of or relating to Riemann's non-Euclidean geometry
- (mathematics) Of or relating to the work, or theory developed from the work, of German mathematician Bernhard Riemann, especially to Riemannian manifolds and Riemannian geometry.
- (music) Relating to the musical theories of German theorist Hugo Riemann, particularly his theory of harmony, which is characterised by a system of "harmonic dualism".
noun
adj
adj
noun
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
name
- (algebraic geometry) Initialism of Éléments de géométrie algébrique.
- (military, US) Initialism of Eagle, Globe, and Anchor.
- (computer graphics) Initialism of enhanced graphics adapter, an obsolete computer display standard between CGA and VGA, offering sixteen colours on screen from a palette of sixty-four.
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
- (geometry, of a surface) Lacking a boundary.
- Not allowing entrance to visitors or the public.
- Not public.
- (mathematics, logic, of a formula) Lacking a free variable.
- (heraldry) Synonym of close.
- (phonology) Formed by closing the mouth and nose passages completely, like the consonants /t/, /d/, and /p/.
- Of a competition or tournament: with the competitors restricted to a specific group, such as professionals, amateurs, members or residents.
- (electricity, of a switch or circuit breaker) In a position allowing electricity to flow.
- (of a store or business) Not operating or conducting trade.
- Having one end joined to the other, forming a completed loop.
- Settled; decided or determined; withdrawn from consideration.
- (especially sports) Of a club, bat or other hitting implement; angled downwards and/or (for a right-hander) anticlockwise of straight.
- (phonology) Having the sound cut off sharply by a following consonant, like the /ɪ/ in pin.
- (geometry, of a curve) Lacking endpoints. For parametric curves, with the same image for the ends of the domain.
- (graph theory, of a walk) Whose first and last vertices are the same, forming a closed loop.
- Sealed or covered.
- (mathematics, of a set) Such that its image under the specified operation is contained in it.
- Not available for use or operation.
- (computing, of a file, document, etc.) Not in current use; not connected to as a resource.
- Not receptive.
- Physically drawn together, folded or contracted.
- (topology, of a set) Having an open complement.
- (of a multi-word compound) Having component words joined together without spaces or hyphens; for example, timeslot as opposed to time slot or time-slot.
- Made impassable.
- (engineering, gas and liquid flow, of valve or damper) In a position preventing fluid from flowing.
- requiring union membership
- (set theory) of an interval that contains both its endpoints
- not open
- with shutters closed
- not open to the general public
- used especially of mouth or eyes
- blocked against entry
- not open or affording passage or access
- not having an open mind
verb
noun
verb
noun
- (mathematics) an unbounded two-dimensional shape
- an aircraft that has a fixed wing and is powered by propellers or jets
- a level of existence or development
- a power tool for smoothing or shaping wood
- a carpenter's hand tool with an adjustable blade for smoothing or shaping wood
- (entomology) Any of various nymphalid butterflies, of various genera, having a slow gliding flight.
- (entomology) The butterfly Bindahara phocides, family Lycaenidae, of Asia and Australasia.
- (geometry) A flat surface extending infinitely in all directions (e.g. horizontal or vertical plane); a bounded portion thereof.
- A roughly flat, thin, often moveable structure used to create lateral force by the flow of air or water over its surface, found on aircraft, submarines, etc.
- (countable) A deciduous tree of the genus Platanus.
- (computing, Unicode) Any of 17 designated ranges of 2¹⁶ (65,536) sequential code points each.
- An airplane; an aeroplane.
- (countable, carpentry) A tool for smoothing wood by removing thin layers from the surface.
- (anatomy) An imaginary plane which divides the body into two portions.
- A level or flat surface.
- A level of existence or development.
- (Northern UK) A sycamore.
adj
verb
noun
- (mathematics) an unbounded two-dimensional shape
- newspaper with half-size pages
- bed linen consisting of a large rectangular piece of cotton or linen cloth; used in pairs
- a large piece of fabric (usually canvas fabric) by means of which wind is used to propel a sailing vessel
- (nautical) a line (rope or chain) that regulates the angle at which a sail is set in relation to the wind
- any broad thin expanse or surface
- a flat artifact that is thin relative to its length and width
- paper used for writing or printing
- A flat metal pan, often without raised edge, used for baking.
- (curling) The area of ice on which the game of curling is played.
- A thin bed cloth used as a covering for a mattress or as a layer over the sleeper.
- (euphemistic, slang) Euphemistic form of shit.
- A broad, flat expanse or covering of a material on a surface.
- (geology) An extensive bed of an eruptive rock intruded between, or overlying, other strata.
- (nautical, nonstandard) A sail.
- (nonstandard) A layer of veneer.
- (nautical) A line (rope) used to adjust the trim of a sail.
- A thin, flat piece or layer of solid material.
- (figuratively) Precipitation of such quantity and force as to resemble a thin, virtually solid wall.
- An expanse of something.
- A piece of paper, usually rectangular, that has been prepared for writing, artwork, drafting, wrapping, manufacture of packaging (boxes, envelopes, etc.), and for other uses. The word does not include scraps and irregular small pieces destined to be recycled, used for stuffing or cushioning or paper mache, etc. In modern books, each sheet of paper is typically folded in half, to produce two leaves and four pages. In the absence of folding, "leaf" and "sheet" are equivalent.
- (nautical) The space in the forward or after part of a boat where there are no rowers.
verb
noun
- (geometry, non-Euclidean geometry) The amount by which the sum of the interior angles of a triangle is less than 180° (π radians); the amount by which the sum of the internal angles of a polygon is less than what would be expected on the Euclidean plane.
- (geometry) The amount by which the total of the angles around a vertex of a polyhedron is less than 360° (2π radians).
- (dentistry, periodontics) The angular displacement of a tooth from vertical.
verb
- be opposite to; of angles and sides, in geometry
- (transitive, mathematics) To form the central angle of a circle underneath an arc.
- (transitive, also mathematics) To extend or stretch opposite something; to be part of a straight or curved line that is opposite to and delimits an angle.
- (botany, transitive) To stand beneath or close to, as a bract at the base of a flower.
- (transitive, mathematics) To use an angle to delimit (mark off, enclose) part of a straight or curved line, for example an arc or the opposite side of a triangle.
adj
- (topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
- (number theory, of an integer) Unable to be factored into smaller integers; prime.
- (group theory, of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.
- Not able to be brought to a simpler or reduced form.
- (algebra, of an element of a ring) Whose only divisors are units and associates.
- (mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x² + 1).
- (algebraic geometry, of an algebraic variety) Inexpressible as the union of two proper algebraic subvarieties.
- (number theory, of a fraction) Whose numerator and denominator share no common factor greater than 1.
- Not able to be reduced or lessened.
- incapable of being made smaller or simpler
noun
noun
- (geometry) The set of all points in three-dimensional Euclidean space (or n-dimensional space, in topology) that are a fixed distance from a fixed point .
- (figuratively) The region in which something or someone is active; one's province, domain.
- The natural, normal, or proper place (of something).
- (historical, astronomy, mythology) Any of the concentric hollow transparent globes formerly believed to rotate around the Earth, and which carried the heavenly bodies; there were originally believed to be eight, and later nine and ten; friction between them was thought to cause a harmonious sound (the music of the spheres).
- (mythology) An area of activity for a planet; or by extension, an area of influence for a god, hero etc.
- (mathematics) A surface in three dimensions consisting of all points equidistant from a center. .
- An object which appears to be bounded by a sphere; a round object, a ball.
- the geographical area in which one nation is very influential
- a solid figure bounded by a spherical surface (including the space it encloses)
- the apparent surface of the imaginary sphere on which celestial bodies appear to be projected
- any spherically shaped artifact
- a three-dimensional closed surface such that every point on the surface is equidistant from the center
- a particular environment or walk of life
- a particular aspect of life or activity
verb
noun
noun
- (geometry, hyperbolic geometry) An ideal point.
- An asymptotic point in 3-dimensional space, viewed from some point, at which parallel lines appear to meet and which in perspective drawing is represented as a vanishing point.
- (geometry, Euclidean projective geometry) Any point added to a space to achieve projective completion.
noun
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
verb
noun
- (mathematics) an unbounded two-dimensional shape
- an aircraft that has a fixed wing and is powered by propellers or jets
- a level of existence or development
- a power tool for smoothing or shaping wood
- a carpenter's hand tool with an adjustable blade for smoothing or shaping wood
- (entomology) Any of various nymphalid butterflies, of various genera, having a slow gliding flight.
- (entomology) The butterfly Bindahara phocides, family Lycaenidae, of Asia and Australasia.
- (geometry) A flat surface extending infinitely in all directions (e.g. horizontal or vertical plane); a bounded portion thereof.
- A roughly flat, thin, often moveable structure used to create lateral force by the flow of air or water over its surface, found on aircraft, submarines, etc.
- (countable) A deciduous tree of the genus Platanus.
- (computing, Unicode) Any of 17 designated ranges of 2¹⁶ (65,536) sequential code points each.
- An airplane; an aeroplane.
- (countable, carpentry) A tool for smoothing wood by removing thin layers from the surface.
- (anatomy) An imaginary plane which divides the body into two portions.
- A level or flat surface.
- A level of existence or development.
- (Northern UK) A sycamore.
adj
verb
noun
- (mathematics) an unbounded two-dimensional shape
- newspaper with half-size pages
- bed linen consisting of a large rectangular piece of cotton or linen cloth; used in pairs
- a large piece of fabric (usually canvas fabric) by means of which wind is used to propel a sailing vessel
- (nautical) a line (rope or chain) that regulates the angle at which a sail is set in relation to the wind
- any broad thin expanse or surface
- a flat artifact that is thin relative to its length and width
- paper used for writing or printing
- A flat metal pan, often without raised edge, used for baking.
- (curling) The area of ice on which the game of curling is played.
- A thin bed cloth used as a covering for a mattress or as a layer over the sleeper.
- (euphemistic, slang) Euphemistic form of shit.
- A broad, flat expanse or covering of a material on a surface.
- (geology) An extensive bed of an eruptive rock intruded between, or overlying, other strata.
- (nautical, nonstandard) A sail.
- (nonstandard) A layer of veneer.
- (nautical) A line (rope) used to adjust the trim of a sail.
- A thin, flat piece or layer of solid material.
- (figuratively) Precipitation of such quantity and force as to resemble a thin, virtually solid wall.
- An expanse of something.
- A piece of paper, usually rectangular, that has been prepared for writing, artwork, drafting, wrapping, manufacture of packaging (boxes, envelopes, etc.), and for other uses. The word does not include scraps and irregular small pieces destined to be recycled, used for stuffing or cushioning or paper mache, etc. In modern books, each sheet of paper is typically folded in half, to produce two leaves and four pages. In the absence of folding, "leaf" and "sheet" are equivalent.
- (nautical) The space in the forward or after part of a boat where there are no rowers.
verb
noun
- (geometry, non-Euclidean geometry) The amount by which the sum of the interior angles of a triangle is less than 180° (π radians); the amount by which the sum of the internal angles of a polygon is less than what would be expected on the Euclidean plane.
- (geometry) The amount by which the total of the angles around a vertex of a polyhedron is less than 360° (2π radians).
- (dentistry, periodontics) The angular displacement of a tooth from vertical.
noun
- (geometry) The set of all points in three-dimensional Euclidean space (or n-dimensional space, in topology) that are a fixed distance from a fixed point .
- (figuratively) The region in which something or someone is active; one's province, domain.
- The natural, normal, or proper place (of something).
- (historical, astronomy, mythology) Any of the concentric hollow transparent globes formerly believed to rotate around the Earth, and which carried the heavenly bodies; there were originally believed to be eight, and later nine and ten; friction between them was thought to cause a harmonious sound (the music of the spheres).
- (mythology) An area of activity for a planet; or by extension, an area of influence for a god, hero etc.
- (mathematics) A surface in three dimensions consisting of all points equidistant from a center. .
- An object which appears to be bounded by a sphere; a round object, a ball.
- the geographical area in which one nation is very influential
- a solid figure bounded by a spherical surface (including the space it encloses)
- the apparent surface of the imaginary sphere on which celestial bodies appear to be projected
- any spherically shaped artifact
- a three-dimensional closed surface such that every point on the surface is equidistant from the center
- a particular environment or walk of life
- a particular aspect of life or activity
verb
noun
noun
- (geometry, hyperbolic geometry) An ideal point.
- An asymptotic point in 3-dimensional space, viewed from some point, at which parallel lines appear to meet and which in perspective drawing is represented as a vanishing point.
- (geometry, Euclidean projective geometry) Any point added to a space to achieve projective completion.
verb
- be opposite to; of angles and sides, in geometry
- (transitive, mathematics) To form the central angle of a circle underneath an arc.
- (transitive, also mathematics) To extend or stretch opposite something; to be part of a straight or curved line that is opposite to and delimits an angle.
- (botany, transitive) To stand beneath or close to, as a bract at the base of a flower.
- (transitive, mathematics) To use an angle to delimit (mark off, enclose) part of a straight or curved line, for example an arc or the opposite side of a triangle.
adj
- of or relating to Riemann's non-Euclidean geometry
- (mathematics) Of or relating to the work, or theory developed from the work, of German mathematician Bernhard Riemann, especially to Riemannian manifolds and Riemannian geometry.
- (music) Relating to the musical theories of German theorist Hugo Riemann, particularly his theory of harmony, which is characterised by a system of "harmonic dualism".
noun
adj
adj
adj
- (geometry, of a surface) Lacking a boundary.
- Not allowing entrance to visitors or the public.
- Not public.
- (mathematics, logic, of a formula) Lacking a free variable.
- (heraldry) Synonym of close.
- (phonology) Formed by closing the mouth and nose passages completely, like the consonants /t/, /d/, and /p/.
- Of a competition or tournament: with the competitors restricted to a specific group, such as professionals, amateurs, members or residents.
- (electricity, of a switch or circuit breaker) In a position allowing electricity to flow.
- (of a store or business) Not operating or conducting trade.
- Having one end joined to the other, forming a completed loop.
- Settled; decided or determined; withdrawn from consideration.
- (especially sports) Of a club, bat or other hitting implement; angled downwards and/or (for a right-hander) anticlockwise of straight.
- (phonology) Having the sound cut off sharply by a following consonant, like the /ɪ/ in pin.
- (geometry, of a curve) Lacking endpoints. For parametric curves, with the same image for the ends of the domain.
- (graph theory, of a walk) Whose first and last vertices are the same, forming a closed loop.
- Sealed or covered.
- (mathematics, of a set) Such that its image under the specified operation is contained in it.
- Not available for use or operation.
- (computing, of a file, document, etc.) Not in current use; not connected to as a resource.
- Not receptive.
- Physically drawn together, folded or contracted.
- (topology, of a set) Having an open complement.
- (of a multi-word compound) Having component words joined together without spaces or hyphens; for example, timeslot as opposed to time slot or time-slot.
- Made impassable.
- (engineering, gas and liquid flow, of valve or damper) In a position preventing fluid from flowing.
- requiring union membership
- (set theory) of an interval that contains both its endpoints
- not open
- with shutters closed
- not open to the general public
- used especially of mouth or eyes
- blocked against entry
- not open or affording passage or access
- not having an open mind
verb
adj
- (topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
- (number theory, of an integer) Unable to be factored into smaller integers; prime.
- (group theory, of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.
- Not able to be brought to a simpler or reduced form.
- (algebra, of an element of a ring) Whose only divisors are units and associates.
- (mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x² + 1).
- (algebraic geometry, of an algebraic variety) Inexpressible as the union of two proper algebraic subvarieties.
- (number theory, of a fraction) Whose numerator and denominator share no common factor greater than 1.
- Not able to be reduced or lessened.
- incapable of being made smaller or simpler