Parole in English per 'Relating to projective geometry'
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noun
- (geometry, projective geometry) specifically, such relationship in the context of the geometry of perspective.
- (geometry, projective geometry) An automorphism of the projective plane (representing a perspective projection) that leaves all the points of some straight line (the homology axis) fixed and maps all the lines through some single point (the homology centre) onto themselves.
- (organic chemistry) The relationship, between organic compounds, of being in the same homologous series.
- (chemistry) The relationship, between elements, of being in the same group of the periodic table.
- (anthropology) The relationship, between temporally separated human beliefs, practices or artefacts, of possessing shared characteristics attributed to genetic or historical links to a common ancestor.
- (topology, algebraic topology) A general way of associating a sequence of algebraic objects, such as abelian groups or modules, to a sequence of topological spaces; also used attributively: see Usage notes below.
- (genetics) The presence of the same series of bases in different but related genes.
- (algebra) Given a chain complex {Gₙ} and its associated set of homomorphisms {Hₙ}, the rule which explains how each Hₙ maps Gₙ into the kernel of Gₙ₊₁.
- (biology, psychology) The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;
- the quality of being similar or corresponding in position or value or structure or function
noun
- (geometry, Euclidean projective geometry) Any point added to a space to achieve projective completion.
- 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, hyperbolic geometry) An ideal point.
adj
adj
noun
- (geometry) An isomorphism between projective spaces that maps straight lines to straight lines.
- The state or quality of being written in the same way, especially when spelled with the same letters (as with a pair of homonyms), or also as represented with similar or identical glyphs (as with homoglyphs); the state or quality of existing as homographs.
noun
- (geometry) the interchangeability of the roles of points and planes in the theorems of projective geometry
- (projective geometry) The interchangeability of points and planes.
- being twofold; a classification into two opposed parts or subclasses
- (physics) the property of matter and electromagnetic radiation that is characterized by the fact that some properties can be explained best by wave theory and others by particle theory
- (mathematics, physics) The mathematical equivalence of two seemingly different theoretical descriptions of a physical system.
- A classification into two subclasses or opposed parts.
noun
- (geometry) A projective relationship between a line and itself by projecting onto an intersecting line from a point on another line that intersects at the same point, and then back on to the first line from a different point on the first intersecting line.
- The state of being prospective rather than retrospective.
- The quality of being or having a likely location in which to prospect for minerals.
noun
- (computer graphics) Initialism of constructive solid geometry.
- (military, nautical, aviation) Initialism of carrier surface group.
- (military, nautical, aviation) Abbreviation of carrier surface assertion group.
- Initialism of coal seam gas.
- (military, nautical, aviation) Initialism of carrier strike group.
noun
- (geometry) A geometric figure defined by its surfaces, lines, and angles, existing in 2D or 3D
- The status or condition of something
- (iron manufacture) A piece which has been roughly forged nearly to the form it will receive when completely forged or fitted.
- A graphical representation of an object's form or its external boundary, outline, or external surface.
- Form; formation.
- Condition of personal health, especially muscular health.
- (iron manufacture) A rolled or hammered piece, such as a bar, beam, angle iron, etc., having a cross section different from merchant bar.
- (gambling) A loaded die.
- (programming) In the Hack programming language, a group of data fields each of which has a name and a data type.
- the state of (good) health (especially in the phrases ‘in condition’ or ‘in shape’ or ‘out of condition’ or ‘out of shape’)
- any spatial attributes (especially as defined by outline)
- a concrete representation of an otherwise nebulous concept
- alternative names for the body of a human being
- a perceptual structure
- the spatial arrangement of something as distinct from its substance
- the visual appearance of something or someone
verb
- To suit; to be adjusted or conformable.
- (of a country, person, etc) To give influence to.
- To form or manipulate something into a certain shape.
- (Northern England, Scotland, rare) To create or make.
- (transitive) To give something a shape and definition.
- shape or influence; give direction to
- make something, usually for a specific function
- give shape or form to
noun
- (geometry) A family of geometric objects with a common property, such as the set of lines that pass through a given point in a projective plane.
- (optics) An aggregate or collection of rays of light, especially when diverging from, or converging to, a point.
- (gambling) Ellipsis of power of the pencil.
- A writing utensil with a graphite (commonly referred to as lead) shaft, usually blended with clay, clad in wood, and sharpened to a taper.
- (now chiefly historical) A paintbrush.
- a figure formed by a set of straight lines or light rays meeting at a point
- a cosmetic in a long thin stick; designed to be applied to a particular part of the face
- a thin cylindrical pointed writing implement; a rod of marking substance encased in wood
- graphite (or a similar substance) used in such a way as to be a medium of communication
verb
verb
- (transitive, mathematics) To give rise to a geometrical structure.
- (transitive) To represent by drawing; to draw a plan of; to delineate; to trace or mark out.
- (transitive, taxonomy) To introduce a new taxon to science by explaining its characteristics and particularly how it differs from other taxa.
- (transitive) To represent in words.
- make a mark or lines on a surface
- identify as in botany or biology, for example
- to give an account or representation of in words
- give a description of
noun
- (mathematics) In a projective plane, a set of points such that no three are collinear and there is a unique tangent line at each point.
- A thing having such a shape, such as an arena.
- An elongated round shape resembling an egg or ellipse.
- (Australia) A sports field, typically but not exclusively oval in shape.
- a closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it
adj
noun
- (geometry) A three-dimensional figure (as opposed to a surface, an area, or a curve).
- (in the plural) Food which is not liquid-based.
- (informal) A favor.
- An article of clothing which is of a single color throughout.
- (chemistry) A substance in the fundamental state of matter that retains its size and shape without need of a container (as opposed to a liquid or gas).
- matter that is solid at room temperature and pressure
- the state in which a substance has no tendency to flow under moderate stress; resists forces (such as compression) that tend to deform it; and retains a definite size and shape
- a three-dimensional object, structurally rigid, usually resistant to changes of shape or volume
adj
- (of time) Entire, complete.
- (of drawn lines) Continuous; unbroken; not dotted or dashed.
- Hearty; filling.
- (of an object or substance) That can be picked up or held, having a texture, and usually firm. Unlike a liquid, gas or plasma.
- Large in size, quantity, or value.
- (slang) Excellent, of high quality, or reliable.
- Of a single color throughout.
- Sound; not weak.
- (US, politics, slang) United; without division; unanimous.
- (of volumes of materials) Measured as a single solid, as the volumes of individual pieces added together without any gaps.
- Worthy of credit, trust, or esteem; substantial; not frivolous or fallacious.
- (typography) Written as one word, without spaces or hyphens.
- Strong or unyielding.
- United.
- (of rain) Continuous and heavy.
- Financially well off; wealthy.
- Lacking holes, hollows or admixtures of other materials.
- financially dependable
- of definite shape and volume; firm; neither liquid nor gaseous
- uninterrupted in space; having no gaps or breaks
- providing abundant nourishment
- acting together as a single undiversified whole
- characterized by good substantial quality
- meriting respect or esteem
- of one substance or character throughout
- not soft or yielding to pressure
- of the same color throughout
- of a substantial character and not frivolous or superficial
- having length, breadth and thickness
- impenetrable for the eye
- of good quality and condition; solidly built
- entirely of one substance with no holes inside
adv
noun
- (geometry) An image of an object on a surface of fewer dimensions.
- (perfumery) The distance the scent of a perfume radiates off the skin.
- (psychology) A belief or assumption that others have similar thoughts and experiences to one's own, including making accusations that would more fittingly apply to the accuser.
- (mathematics) A transformation which extracts a fragment of a mathematical object.
- (cartography) Any of several systems of intersecting lines that allow the curved surface of the earth to be represented on a flat surface. The set of mathematics used to calculate coordinate positions.
- (photography) The image that a translucent object casts onto another object.
- The action of projecting or throwing or propelling something.
- A forecast or prognosis obtained by extrapolation
- (linear algebra) An idempotent linear transformation which maps vectors from a vector space onto a subspace.
- The display of an image by devices such as movie projector, video projector, overhead projector or slide projector.
- (grammar) The preservation of the properties of lexical items while generating the phrase structure of a sentence. See Projection principle.
- (category theory) A morphism from a categorical product to one of its (two) components.
- Something which projects, protrudes, juts out, sticks out, or stands out.
- the act of projecting out from something
- a planned undertaking
- the representation of a figure or solid on a plane as it would look from a particular direction
- the act of expelling or projecting or ejecting
- any solid convex shape that juts out from something
- a prediction made by extrapolating from past observations
- (psychiatry) a defense mechanism by which your own traits and emotions are attributed to someone else
- the acoustic phenomenon that gives sound a penetrating quality
- the projection of an image from a film onto a screen
- any structure that branches out from a central support
adj
noun
noun
- (geometry) The boundary of such a figure.
- (geometry, more generally) A figure comprising vertices and (not necessarily straight) edges, alternatingly.
- (geometry) A plane figure bounded by edges that are all straight lines.
- (geometry) Such a figure and its interior, taken as a whole.
- a closed plane figure bounded by straight sides
noun
- (geometry) A one-dimensional figure of non-zero length; the graph of a continuous map from a one-dimensional space.
- (informal, usually in the plural) The attractive shape of a woman's body.
- (algebraic geometry) An algebraic curve; a polynomial relation of the planar coordinates.
- (analytic geometry) A continuous map from a one-dimensional space to a multidimensional space.
- (topology) A one-dimensional continuum.
- A gentle bend, such as in a road.
- A simple figure containing no straight portions and no angles; a curved line.
- (nonstandard, by extension) A grading system where all raw scores are raised by a set amount of points.
- A grading system based on the scale of performance of a group used to normalize a right-skewed grade distribution (with more lower scores) into a bell curve, so that more can receive higher grades, regardless of their actual knowledge of the subject.
- a pitch of a baseball that is thrown with spin so that its path curves as it approaches the batter
- curved segment (of a road or river or railroad track etc.)
- a line on a graph representing data
- the trace of a point whose direction of motion changes
- the property possessed by the curving of a line or surface
verb
- (transitive) To bend; to crook.
- (transitive) To grade on a curve (bell curve of a normal distribution).
- (intransitive) To bend or turn gradually from a given direction.
- (transitive) To cause to swerve from a straight course.
- (transitive, slang) To reject, to turn down romantic advances.
- extend in curves and turns
- form an arch or curve
- bend or cause to bend
- form a curl, curve, or kink
- turn sharply; change direction abruptly
noun
- (geometry) A surface created by projecting a closed two-dimensional curve along an axis intersecting the plane of the curve.
- The part of a revolver that contains chambers for the cartridges.
- Any object in the form of a circular cylinder.
- A container in the form of a cylinder with rounded ends for storing pressurized gas; a gas cylinder.
- (computing) The corresponding tracks on a vertical arrangement of disks in a disk drive considered as a unit of data capacity.
- A cylindrical cavity or chamber in a mechanism, such as the counterpart to a piston found in a piston-driven engine.
- An early form of phonograph recording, made on a wax cylinder.
- (geometry) A solid figure bounded by a cylinder and two parallel planes intersecting the cylinder.
- (automotive) The space in which a piston travels inside a reciprocating engine or pump.
- a chamber within which piston moves
- a solid bounded by a cylindrical surface and two parallel planes (the bases)
- a surface generated by rotating a parallel line around a fixed line
- a cylindrical container for oxygen or compressed air
verb
noun
adj
- (geometry, of a surface) Described by a moving right line, and such that consecutive positions of the generator intersect each other, allowing the surface to be developed into a plane.
- Suitable for development, often specifically for construction
- (photography, of a latent image) Which can be developed into a visible image.
noun
- (algebraic topology, geometry) A generalization of a triangle or tetrahedron to an arbitrary dimension, the generalization being the simplest possible convex polytope for a given dimension; more accurately, the convex hull of n+1 affinely independent points in n-dimensional space.
- A word which is not compound and contains no derivational affixes (inflectional affixes are usually disregarded); a monomorphemic word.
- (originally and chiefly US) An apartment (or, sometimes, another type of property) having only one floor or storey; a single-storey property.
adj
- (linguistics) Of a word: having no (derivational) affixes; simple, monomorphemic, uncompounded.
- (computing, telecommunications) Of a circuit or device: involving signals which travel in one direction at a time; unidirectional.
- Of a polyploid organism: having one dominant allele at a given locus on all homologous chromosomes.
- (anatomy, historical) Of an eye: (supposedly) having pigment on only the posterior surface of the iris and not the anterior surface, and thus appearing blue; this was later found to be inaccurate, as eye colour is due to the amount of pigment in the anterior surface of the iris; also, of eye pigmentation: present only on the posterior surface of the iris; and of a person: having eyes with this form of pigmentation.
- (originally and chiefly US) Of an apartment (or, sometimes, another type of property): having only one floor or storey; single-storey.
- allowing communication in only one direction at a time, or in telegraphy allowing only one message over a line at a time
- having only one part or element
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 portion of a spherical or other convex surface.
- (architecture) The uppermost of any assemblage of parts.
- (zoology) The whole top of the head of a bird from the base of the bill to the nape of the neck.
- (nautical) A collar of iron or wood used in joining spars, as the mast and the topmast, the bowsprit and the jib boom; also, a covering of tarred canvas at the end of a rope.
- (finance) Capitalization.
- A caption.
- (colloquial) Clipping of capture; a recording or screenshot.
- An academic mortarboard.
- Something covering the top or end of a thing for protection or ornament.
- (Appalachia) Popcorn.
- A large size of writing paper.
- (slang) A bullet used to shoot someone.
- A close-fitting hat, either brimless or peaked.
- A protective cover or seal.
- (informal) A capital letter.
- (electronics) A capacitor.
- The summit of a mountain, etc.
- The top part of a mushroom.
- (toy) A small amount of percussive explosive in a paper strip or plastic cup for use in a toy gun.
- (anatomy) A capillary.
- A crown for covering a tooth.
- A special hat to indicate rank, occupation, etc.
- An artificial upper limit or ceiling.
- (slang) A capsule of a drug.
- (sports) A place on a national team; an international appearance.
- (colloquial) A capitalist.
- (slang, originally African-American Vernacular) A lie or exaggeration.
- A small explosive device used to detonate a larger charge of explosives.
- a tight-fitting headdress
- something serving as a cover or protection
- a mechanical or electrical explosive device or a small amount of explosive; can be used to initiate the reaction of a disrupting explosive
- an upper limit on what is allowed
- a top (as for a bottle)
- (dentistry) dental appliance consisting of an artificial crown for a broken or decayed tooth
- the upper part of a column that supports the entablature
- a protective covering that is part of a plant
- a fruiting structure resembling an umbrella or a cone that forms the top of a stalked fleshy fungus such as a mushroom
verb
- To deprive of a cap.
- (transitive, intransitive, video games) To capitulate (cause to capitulate) an opponent.
- (transitive) To lie over or on top of something.
- (transitive) To take a screenshot or to record a copy of a video.
- (transitive, informal) To convert text to uppercase.
- (transitive, figurative) To conclude; to make something even more wonderful at the end.
- (transitive, sports) To select to play for the national team.
- (transitive, video games) To capture an objective, such as a flag or checkpoint.
- (intransitive, slang, originally African-American Vernacular) To lie; to tell a lie.
- (transitive, cricket) To select a player to play for a specified side.
- (transitive) To surpass or outdo.
- (transitive) To cover or seal with a cap.
- (transitive, slang) To shoot (someone) with a firearm.
- (transitive) To set (or reach) an upper limit on something.
- (transitive) To award a cap as a mark of distinction.
- restrict the number or amount of
- lie at the top of
adj
- (geometry) Being a double point with two distinct tangent planes in 4-dimensional projective space.
- (music) Adjusted by one or two semitones, in temporary departure from the key signature.
- Pertaining to accident and not essence; thus, inessential; incidental; secondary.
- (philosophy) Nonessential to something's inherent nature (especially in Aristotelian thought).
- Occurring sometimes, by chance; occasional.
- Happening by chance, or unexpectedly; taking place not according to the usual course of things; by accident, unintentional.
- not of prime or central importance
- happening by chance or unexpectedly or unintentionally
noun
- (music) A sharp, flat, or natural, occurring not at the commencement of a piece of music as the signature, but before a particular note.
- Part of a text that has a mainly structural purpose, such as spelling, punctuation, or capitalization.
- (painting, plural only) Those fortuitous effects produced by luminous rays falling on certain objects so that some parts stand forth in abnormal brightness and other parts are cast into a deep shadow.
- A property which is not essential; a nonessential; anything happening accidentally.
- a musical notation that makes a note sharp or flat or natural although that is not part of the key signature
noun
adj
- (geometry) Perpendicular to a tangent of a curve or tangent plane of a surface.
- (topology, of a topology or topological space) In which disjoint closed sets can be separated by disjoint neighborhoods.
- (linear algebra, of a matrix) Which commutes with its conjugate transpose.
- (complex analysis, of a family of continuous functions) Which is pre-compact.
- (commutative algebra, of a domain) Integrally closed: equal its own integral closure in its field of fractions.
- (functional analysis, of a Hilbert space operator) Which commutes with its adjoint.
- (probability theory, statistics, of a distribution, random variable, etc.) Which has a very specific bell curve shape; that is or has the qualities of a normal distribution.
- (physics, of a mode in an oscillating system) In which all parts of an object vibrate at the same frequency (a normal mode).
- (rail transport, of points) In the default position, set for the most frequently used route.
- (chemistry) Of, relating to, or being a solution containing one equivalent weight of solute per litre of solution.
- (category theory, of a category) Which contains only normal morphisms.
- (organic chemistry) Describing a straight chain isomer of an aliphatic hydrocarbon, or an aliphatic compound in which a substituent is in the 1- position of such a hydrocarbon.
- (fandom slang, sarcastic, with “about”) Fervently interested in a subject; obsessed.
- (algebraic geometry, of a variety or scheme) Such that the local ring at every point is an integrally closed domain.
- (category theory, of a morphism) Which is the kernel or cokernel of some morphism, respectively.
- (number theory, of a real number) In whose representation in a given base b ≥ 2, for every positive integer n, the bⁿ possible strings of n digits follow a uniform distribution.
- Usual, healthy; not sick or ill or unlike oneself.
- (set theory, of a function from the ordinals to the ordinals) Which is strictly monotonically increasing and continuous with respect to the order topology.
- (algebra, of a field extension of a field K) Which is the splitting field of a family of polynomials in K.
- (algebra, of a subgroup) With cosets which form a group.
- (commutative algebra, of a ring) Such that all of its localizations at prime ideals are integrally closed domains.
- (education, of a school) Teaching teachers how to teach; teaching teachers the norms of education.
- According to norms or rules or to a regular pattern.
- in accordance with scientific laws
- conforming with or constituting a norm or standard or level or type or social norm; not abnormal
- forming a right angle
- being approximately average or within certain limits in e.g. intelligence and development
noun
- (geometry, countable) A line or vector that is perpendicular to another line, surface, or plane.
- (medicine, countable) A person who is healthy, normal, as opposed to one who is morbid.
- (slang, countable) A person who is normal, who fits into mainstream society, as opposed to those who live alternative lifestyles.
- (countable, uncountable) The usual state.
- something regarded as a normative example
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
- (geometry) A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from a given point (center).
- A territorial division or district.
- (cricket) A line comprising two semicircles of 30 yards radius centred on the wickets joined by straight lines parallel to the pitch used to enforce field restrictions in a one-day match.
- A series ending where it begins, and repeating itself.
- Any shape, curve or arrangement of objects that approximates to or resembles the geometric figures.
- (in the plural) A bagginess of the skin below the eyes from lack of sleep.
- (South Africa, Philippines, India, Dundee) A traffic circle or roundabout.
- (colloquial) A two-dimensional geometric figure, a disk, consisting of the set of all those points of a plane at a distance less than or equal to a fixed distance (radius) from a given point.
- (astronomy) An instrument of observation, whose graduated limb consists of an entire circle. When fixed to a wall in an observatory, it is called a mural circle; when mounted with a telescope on an axis and in Y's, in the plane of the meridian, a meridian or transit circle; when involving the principle of reflection, like the sextant, a reflecting circle; and when that of repeating an angle several times continuously along the graduated limb, a repeating circle.
- A specific group of persons; especially one who shares a common interest.
- Indirect form of words; circumlocution.
- Any thin three-dimensional equivalent of the geometric figures.
- The orbit of an astronomical body.
- (logic) A form of argument in which two or more unproved statements are used to prove each other; inconclusive reasoning.
- (Wicca) A ritual circle that is cast three times deosil and closes three times widdershins either in the air with a wand or literally with stones or other items used for worship.
- A curve that more or less forms part or all of a circle.
- something approximating the shape of a circle
- a road junction at which traffic streams circularly around a central island
- an unofficial association of people or groups
- ellipse in which the two axes are of equal length; a plane curve generated by one point moving at a constant distance from a fixed point
- any circular or rotating mechanism
- a curved section or tier of seats in a hall or theater or opera house; usually the first tier above the orchestra
- street names for flunitrazepam
- movement once around a course
verb
- (transitive) To travel around along a curved path.
- (transitive) To surround.
- (intransitive, paganism) To take part in a magic circle.
- (intransitive) To travel in circles.
- (transitive) To place or mark a circle around.
- form or draw a circle around
- travel around something
- move in a circular path above (someone or something)
noun
- (geometry, projective geometry) specifically, such relationship in the context of the geometry of perspective.
- (geometry, projective geometry) An automorphism of the projective plane (representing a perspective projection) that leaves all the points of some straight line (the homology axis) fixed and maps all the lines through some single point (the homology centre) onto themselves.
- (organic chemistry) The relationship, between organic compounds, of being in the same homologous series.
- (chemistry) The relationship, between elements, of being in the same group of the periodic table.
- (anthropology) The relationship, between temporally separated human beliefs, practices or artefacts, of possessing shared characteristics attributed to genetic or historical links to a common ancestor.
- (topology, algebraic topology) A general way of associating a sequence of algebraic objects, such as abelian groups or modules, to a sequence of topological spaces; also used attributively: see Usage notes below.
- (genetics) The presence of the same series of bases in different but related genes.
- (algebra) Given a chain complex {Gₙ} and its associated set of homomorphisms {Hₙ}, the rule which explains how each Hₙ maps Gₙ into the kernel of Gₙ₊₁.
- (biology, psychology) The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;
- the quality of being similar or corresponding in position or value or structure or function
noun
- (geometry, Euclidean projective geometry) Any point added to a space to achieve projective completion.
- 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, hyperbolic geometry) An ideal point.
noun
- (geometry) An isomorphism between projective spaces that maps straight lines to straight lines.
- The state or quality of being written in the same way, especially when spelled with the same letters (as with a pair of homonyms), or also as represented with similar or identical glyphs (as with homoglyphs); the state or quality of existing as homographs.
noun
- (geometry) the interchangeability of the roles of points and planes in the theorems of projective geometry
- (projective geometry) The interchangeability of points and planes.
- being twofold; a classification into two opposed parts or subclasses
- (physics) the property of matter and electromagnetic radiation that is characterized by the fact that some properties can be explained best by wave theory and others by particle theory
- (mathematics, physics) The mathematical equivalence of two seemingly different theoretical descriptions of a physical system.
- A classification into two subclasses or opposed parts.
noun
- (geometry) A projective relationship between a line and itself by projecting onto an intersecting line from a point on another line that intersects at the same point, and then back on to the first line from a different point on the first intersecting line.
- The state of being prospective rather than retrospective.
- The quality of being or having a likely location in which to prospect for minerals.
noun
- (computer graphics) Initialism of constructive solid geometry.
- (military, nautical, aviation) Initialism of carrier surface group.
- (military, nautical, aviation) Abbreviation of carrier surface assertion group.
- Initialism of coal seam gas.
- (military, nautical, aviation) Initialism of carrier strike group.
noun
- (geometry) A geometric figure defined by its surfaces, lines, and angles, existing in 2D or 3D
- The status or condition of something
- (iron manufacture) A piece which has been roughly forged nearly to the form it will receive when completely forged or fitted.
- A graphical representation of an object's form or its external boundary, outline, or external surface.
- Form; formation.
- Condition of personal health, especially muscular health.
- (iron manufacture) A rolled or hammered piece, such as a bar, beam, angle iron, etc., having a cross section different from merchant bar.
- (gambling) A loaded die.
- (programming) In the Hack programming language, a group of data fields each of which has a name and a data type.
- the state of (good) health (especially in the phrases ‘in condition’ or ‘in shape’ or ‘out of condition’ or ‘out of shape’)
- any spatial attributes (especially as defined by outline)
- a concrete representation of an otherwise nebulous concept
- alternative names for the body of a human being
- a perceptual structure
- the spatial arrangement of something as distinct from its substance
- the visual appearance of something or someone
verb
- To suit; to be adjusted or conformable.
- (of a country, person, etc) To give influence to.
- To form or manipulate something into a certain shape.
- (Northern England, Scotland, rare) To create or make.
- (transitive) To give something a shape and definition.
- shape or influence; give direction to
- make something, usually for a specific function
- give shape or form to
noun
- (geometry) A family of geometric objects with a common property, such as the set of lines that pass through a given point in a projective plane.
- (optics) An aggregate or collection of rays of light, especially when diverging from, or converging to, a point.
- (gambling) Ellipsis of power of the pencil.
- A writing utensil with a graphite (commonly referred to as lead) shaft, usually blended with clay, clad in wood, and sharpened to a taper.
- (now chiefly historical) A paintbrush.
- a figure formed by a set of straight lines or light rays meeting at a point
- a cosmetic in a long thin stick; designed to be applied to a particular part of the face
- a thin cylindrical pointed writing implement; a rod of marking substance encased in wood
- graphite (or a similar substance) used in such a way as to be a medium of communication
verb
noun
- (mathematics) In a projective plane, a set of points such that no three are collinear and there is a unique tangent line at each point.
- A thing having such a shape, such as an arena.
- An elongated round shape resembling an egg or ellipse.
- (Australia) A sports field, typically but not exclusively oval in shape.
- a closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it
adj
noun
- (geometry) A three-dimensional figure (as opposed to a surface, an area, or a curve).
- (in the plural) Food which is not liquid-based.
- (informal) A favor.
- An article of clothing which is of a single color throughout.
- (chemistry) A substance in the fundamental state of matter that retains its size and shape without need of a container (as opposed to a liquid or gas).
- matter that is solid at room temperature and pressure
- the state in which a substance has no tendency to flow under moderate stress; resists forces (such as compression) that tend to deform it; and retains a definite size and shape
- a three-dimensional object, structurally rigid, usually resistant to changes of shape or volume
adj
- (of time) Entire, complete.
- (of drawn lines) Continuous; unbroken; not dotted or dashed.
- Hearty; filling.
- (of an object or substance) That can be picked up or held, having a texture, and usually firm. Unlike a liquid, gas or plasma.
- Large in size, quantity, or value.
- (slang) Excellent, of high quality, or reliable.
- Of a single color throughout.
- Sound; not weak.
- (US, politics, slang) United; without division; unanimous.
- (of volumes of materials) Measured as a single solid, as the volumes of individual pieces added together without any gaps.
- Worthy of credit, trust, or esteem; substantial; not frivolous or fallacious.
- (typography) Written as one word, without spaces or hyphens.
- Strong or unyielding.
- United.
- (of rain) Continuous and heavy.
- Financially well off; wealthy.
- Lacking holes, hollows or admixtures of other materials.
- financially dependable
- of definite shape and volume; firm; neither liquid nor gaseous
- uninterrupted in space; having no gaps or breaks
- providing abundant nourishment
- acting together as a single undiversified whole
- characterized by good substantial quality
- meriting respect or esteem
- of one substance or character throughout
- not soft or yielding to pressure
- of the same color throughout
- of a substantial character and not frivolous or superficial
- having length, breadth and thickness
- impenetrable for the eye
- of good quality and condition; solidly built
- entirely of one substance with no holes inside
adv
noun
- (geometry) An image of an object on a surface of fewer dimensions.
- (perfumery) The distance the scent of a perfume radiates off the skin.
- (psychology) A belief or assumption that others have similar thoughts and experiences to one's own, including making accusations that would more fittingly apply to the accuser.
- (mathematics) A transformation which extracts a fragment of a mathematical object.
- (cartography) Any of several systems of intersecting lines that allow the curved surface of the earth to be represented on a flat surface. The set of mathematics used to calculate coordinate positions.
- (photography) The image that a translucent object casts onto another object.
- The action of projecting or throwing or propelling something.
- A forecast or prognosis obtained by extrapolation
- (linear algebra) An idempotent linear transformation which maps vectors from a vector space onto a subspace.
- The display of an image by devices such as movie projector, video projector, overhead projector or slide projector.
- (grammar) The preservation of the properties of lexical items while generating the phrase structure of a sentence. See Projection principle.
- (category theory) A morphism from a categorical product to one of its (two) components.
- Something which projects, protrudes, juts out, sticks out, or stands out.
- the act of projecting out from something
- a planned undertaking
- the representation of a figure or solid on a plane as it would look from a particular direction
- the act of expelling or projecting or ejecting
- any solid convex shape that juts out from something
- a prediction made by extrapolating from past observations
- (psychiatry) a defense mechanism by which your own traits and emotions are attributed to someone else
- the acoustic phenomenon that gives sound a penetrating quality
- the projection of an image from a film onto a screen
- any structure that branches out from a central support
noun
- (geometry) The boundary of such a figure.
- (geometry, more generally) A figure comprising vertices and (not necessarily straight) edges, alternatingly.
- (geometry) A plane figure bounded by edges that are all straight lines.
- (geometry) Such a figure and its interior, taken as a whole.
- a closed plane figure bounded by straight sides
noun
- (geometry) A one-dimensional figure of non-zero length; the graph of a continuous map from a one-dimensional space.
- (informal, usually in the plural) The attractive shape of a woman's body.
- (algebraic geometry) An algebraic curve; a polynomial relation of the planar coordinates.
- (analytic geometry) A continuous map from a one-dimensional space to a multidimensional space.
- (topology) A one-dimensional continuum.
- A gentle bend, such as in a road.
- A simple figure containing no straight portions and no angles; a curved line.
- (nonstandard, by extension) A grading system where all raw scores are raised by a set amount of points.
- A grading system based on the scale of performance of a group used to normalize a right-skewed grade distribution (with more lower scores) into a bell curve, so that more can receive higher grades, regardless of their actual knowledge of the subject.
- a pitch of a baseball that is thrown with spin so that its path curves as it approaches the batter
- curved segment (of a road or river or railroad track etc.)
- a line on a graph representing data
- the trace of a point whose direction of motion changes
- the property possessed by the curving of a line or surface
verb
- (transitive) To bend; to crook.
- (transitive) To grade on a curve (bell curve of a normal distribution).
- (intransitive) To bend or turn gradually from a given direction.
- (transitive) To cause to swerve from a straight course.
- (transitive, slang) To reject, to turn down romantic advances.
- extend in curves and turns
- form an arch or curve
- bend or cause to bend
- form a curl, curve, or kink
- turn sharply; change direction abruptly
noun
- (geometry) A surface created by projecting a closed two-dimensional curve along an axis intersecting the plane of the curve.
- The part of a revolver that contains chambers for the cartridges.
- Any object in the form of a circular cylinder.
- A container in the form of a cylinder with rounded ends for storing pressurized gas; a gas cylinder.
- (computing) The corresponding tracks on a vertical arrangement of disks in a disk drive considered as a unit of data capacity.
- A cylindrical cavity or chamber in a mechanism, such as the counterpart to a piston found in a piston-driven engine.
- An early form of phonograph recording, made on a wax cylinder.
- (geometry) A solid figure bounded by a cylinder and two parallel planes intersecting the cylinder.
- (automotive) The space in which a piston travels inside a reciprocating engine or pump.
- a chamber within which piston moves
- a solid bounded by a cylindrical surface and two parallel planes (the bases)
- a surface generated by rotating a parallel line around a fixed line
- a cylindrical container for oxygen or compressed air
verb
noun
adj
- (geometry, of a surface) Described by a moving right line, and such that consecutive positions of the generator intersect each other, allowing the surface to be developed into a plane.
- Suitable for development, often specifically for construction
- (photography, of a latent image) Which can be developed into a visible image.
noun
- (algebraic topology, geometry) A generalization of a triangle or tetrahedron to an arbitrary dimension, the generalization being the simplest possible convex polytope for a given dimension; more accurately, the convex hull of n+1 affinely independent points in n-dimensional space.
- A word which is not compound and contains no derivational affixes (inflectional affixes are usually disregarded); a monomorphemic word.
- (originally and chiefly US) An apartment (or, sometimes, another type of property) having only one floor or storey; a single-storey property.
adj
- (linguistics) Of a word: having no (derivational) affixes; simple, monomorphemic, uncompounded.
- (computing, telecommunications) Of a circuit or device: involving signals which travel in one direction at a time; unidirectional.
- Of a polyploid organism: having one dominant allele at a given locus on all homologous chromosomes.
- (anatomy, historical) Of an eye: (supposedly) having pigment on only the posterior surface of the iris and not the anterior surface, and thus appearing blue; this was later found to be inaccurate, as eye colour is due to the amount of pigment in the anterior surface of the iris; also, of eye pigmentation: present only on the posterior surface of the iris; and of a person: having eyes with this form of pigmentation.
- (originally and chiefly US) Of an apartment (or, sometimes, another type of property): having only one floor or storey; single-storey.
- allowing communication in only one direction at a time, or in telegraphy allowing only one message over a line at a time
- having only one part or element
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 portion of a spherical or other convex surface.
- (architecture) The uppermost of any assemblage of parts.
- (zoology) The whole top of the head of a bird from the base of the bill to the nape of the neck.
- (nautical) A collar of iron or wood used in joining spars, as the mast and the topmast, the bowsprit and the jib boom; also, a covering of tarred canvas at the end of a rope.
- (finance) Capitalization.
- A caption.
- (colloquial) Clipping of capture; a recording or screenshot.
- An academic mortarboard.
- Something covering the top or end of a thing for protection or ornament.
- (Appalachia) Popcorn.
- A large size of writing paper.
- (slang) A bullet used to shoot someone.
- A close-fitting hat, either brimless or peaked.
- A protective cover or seal.
- (informal) A capital letter.
- (electronics) A capacitor.
- The summit of a mountain, etc.
- The top part of a mushroom.
- (toy) A small amount of percussive explosive in a paper strip or plastic cup for use in a toy gun.
- (anatomy) A capillary.
- A crown for covering a tooth.
- A special hat to indicate rank, occupation, etc.
- An artificial upper limit or ceiling.
- (slang) A capsule of a drug.
- (sports) A place on a national team; an international appearance.
- (colloquial) A capitalist.
- (slang, originally African-American Vernacular) A lie or exaggeration.
- A small explosive device used to detonate a larger charge of explosives.
- a tight-fitting headdress
- something serving as a cover or protection
- a mechanical or electrical explosive device or a small amount of explosive; can be used to initiate the reaction of a disrupting explosive
- an upper limit on what is allowed
- a top (as for a bottle)
- (dentistry) dental appliance consisting of an artificial crown for a broken or decayed tooth
- the upper part of a column that supports the entablature
- a protective covering that is part of a plant
- a fruiting structure resembling an umbrella or a cone that forms the top of a stalked fleshy fungus such as a mushroom
verb
- To deprive of a cap.
- (transitive, intransitive, video games) To capitulate (cause to capitulate) an opponent.
- (transitive) To lie over or on top of something.
- (transitive) To take a screenshot or to record a copy of a video.
- (transitive, informal) To convert text to uppercase.
- (transitive, figurative) To conclude; to make something even more wonderful at the end.
- (transitive, sports) To select to play for the national team.
- (transitive, video games) To capture an objective, such as a flag or checkpoint.
- (intransitive, slang, originally African-American Vernacular) To lie; to tell a lie.
- (transitive, cricket) To select a player to play for a specified side.
- (transitive) To surpass or outdo.
- (transitive) To cover or seal with a cap.
- (transitive, slang) To shoot (someone) with a firearm.
- (transitive) To set (or reach) an upper limit on something.
- (transitive) To award a cap as a mark of distinction.
- restrict the number or amount of
- lie at the top of
noun
noun
- (geometry) A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from a given point (center).
- A territorial division or district.
- (cricket) A line comprising two semicircles of 30 yards radius centred on the wickets joined by straight lines parallel to the pitch used to enforce field restrictions in a one-day match.
- A series ending where it begins, and repeating itself.
- Any shape, curve or arrangement of objects that approximates to or resembles the geometric figures.
- (in the plural) A bagginess of the skin below the eyes from lack of sleep.
- (South Africa, Philippines, India, Dundee) A traffic circle or roundabout.
- (colloquial) A two-dimensional geometric figure, a disk, consisting of the set of all those points of a plane at a distance less than or equal to a fixed distance (radius) from a given point.
- (astronomy) An instrument of observation, whose graduated limb consists of an entire circle. When fixed to a wall in an observatory, it is called a mural circle; when mounted with a telescope on an axis and in Y's, in the plane of the meridian, a meridian or transit circle; when involving the principle of reflection, like the sextant, a reflecting circle; and when that of repeating an angle several times continuously along the graduated limb, a repeating circle.
- A specific group of persons; especially one who shares a common interest.
- Indirect form of words; circumlocution.
- Any thin three-dimensional equivalent of the geometric figures.
- The orbit of an astronomical body.
- (logic) A form of argument in which two or more unproved statements are used to prove each other; inconclusive reasoning.
- (Wicca) A ritual circle that is cast three times deosil and closes three times widdershins either in the air with a wand or literally with stones or other items used for worship.
- A curve that more or less forms part or all of a circle.
- something approximating the shape of a circle
- a road junction at which traffic streams circularly around a central island
- an unofficial association of people or groups
- ellipse in which the two axes are of equal length; a plane curve generated by one point moving at a constant distance from a fixed point
- any circular or rotating mechanism
- a curved section or tier of seats in a hall or theater or opera house; usually the first tier above the orchestra
- street names for flunitrazepam
- movement once around a course
verb
- (transitive) To travel around along a curved path.
- (transitive) To surround.
- (intransitive, paganism) To take part in a magic circle.
- (intransitive) To travel in circles.
- (transitive) To place or mark a circle around.
- form or draw a circle around
- travel around something
- move in a circular path above (someone or something)
verb
- (transitive, mathematics) To give rise to a geometrical structure.
- (transitive) To represent by drawing; to draw a plan of; to delineate; to trace or mark out.
- (transitive, taxonomy) To introduce a new taxon to science by explaining its characteristics and particularly how it differs from other taxa.
- (transitive) To represent in words.
- make a mark or lines on a surface
- identify as in botany or biology, for example
- to give an account or representation of in words
- give a description of
adj
adj
adj
noun
adj
- (geometry) Being a double point with two distinct tangent planes in 4-dimensional projective space.
- (music) Adjusted by one or two semitones, in temporary departure from the key signature.
- Pertaining to accident and not essence; thus, inessential; incidental; secondary.
- (philosophy) Nonessential to something's inherent nature (especially in Aristotelian thought).
- Occurring sometimes, by chance; occasional.
- Happening by chance, or unexpectedly; taking place not according to the usual course of things; by accident, unintentional.
- not of prime or central importance
- happening by chance or unexpectedly or unintentionally
noun
- (music) A sharp, flat, or natural, occurring not at the commencement of a piece of music as the signature, but before a particular note.
- Part of a text that has a mainly structural purpose, such as spelling, punctuation, or capitalization.
- (painting, plural only) Those fortuitous effects produced by luminous rays falling on certain objects so that some parts stand forth in abnormal brightness and other parts are cast into a deep shadow.
- A property which is not essential; a nonessential; anything happening accidentally.
- a musical notation that makes a note sharp or flat or natural although that is not part of the key signature
adj
- (geometry) Perpendicular to a tangent of a curve or tangent plane of a surface.
- (topology, of a topology or topological space) In which disjoint closed sets can be separated by disjoint neighborhoods.
- (linear algebra, of a matrix) Which commutes with its conjugate transpose.
- (complex analysis, of a family of continuous functions) Which is pre-compact.
- (commutative algebra, of a domain) Integrally closed: equal its own integral closure in its field of fractions.
- (functional analysis, of a Hilbert space operator) Which commutes with its adjoint.
- (probability theory, statistics, of a distribution, random variable, etc.) Which has a very specific bell curve shape; that is or has the qualities of a normal distribution.
- (physics, of a mode in an oscillating system) In which all parts of an object vibrate at the same frequency (a normal mode).
- (rail transport, of points) In the default position, set for the most frequently used route.
- (chemistry) Of, relating to, or being a solution containing one equivalent weight of solute per litre of solution.
- (category theory, of a category) Which contains only normal morphisms.
- (organic chemistry) Describing a straight chain isomer of an aliphatic hydrocarbon, or an aliphatic compound in which a substituent is in the 1- position of such a hydrocarbon.
- (fandom slang, sarcastic, with “about”) Fervently interested in a subject; obsessed.
- (algebraic geometry, of a variety or scheme) Such that the local ring at every point is an integrally closed domain.
- (category theory, of a morphism) Which is the kernel or cokernel of some morphism, respectively.
- (number theory, of a real number) In whose representation in a given base b ≥ 2, for every positive integer n, the bⁿ possible strings of n digits follow a uniform distribution.
- Usual, healthy; not sick or ill or unlike oneself.
- (set theory, of a function from the ordinals to the ordinals) Which is strictly monotonically increasing and continuous with respect to the order topology.
- (algebra, of a field extension of a field K) Which is the splitting field of a family of polynomials in K.
- (algebra, of a subgroup) With cosets which form a group.
- (commutative algebra, of a ring) Such that all of its localizations at prime ideals are integrally closed domains.
- (education, of a school) Teaching teachers how to teach; teaching teachers the norms of education.
- According to norms or rules or to a regular pattern.
- in accordance with scientific laws
- conforming with or constituting a norm or standard or level or type or social norm; not abnormal
- forming a right angle
- being approximately average or within certain limits in e.g. intelligence and development
noun
- (geometry, countable) A line or vector that is perpendicular to another line, surface, or plane.
- (medicine, countable) A person who is healthy, normal, as opposed to one who is morbid.
- (slang, countable) A person who is normal, who fits into mainstream society, as opposed to those who live alternative lifestyles.
- (countable, uncountable) The usual state.
- something regarded as a normative example
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