Parole in English per 'the geometry of affine transformations'
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- (mathematics) of or pertaining to the geometry of affine transformations
- (not comparable, geometry) Of or pertaining to a function expressible as f(⃑x)=A⃑x+⃑b (where A is a linear transformation and ⃑b is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.
- (anthropology) related by marriage
- (comparable, chemistry) Of two materials, having mutual affinity.
- (not comparable, mathematics) Assigning finite values to finite quantities.
- subject to a mathematical transformation
- (transitive, mathematics) To subject to a transformation; to change into another form without altering the value.
- change from one form or medium into another
- change in outward structure or looks
- increase or decrease (an alternating current or voltage)
- change or alter in form, appearance, or nature
- change (a bacterial cell) into a genetically distinct cell by the introduction of DNA from another cell of the same or closely related species
- convert (one form of energy) to another
- (transitive) To change the nature, condition or function of; to change in nature, disposition, heart, character, etc.; to convert.
- (transitive, genetics) To subject (a cell) to transformation.
- (intransitive) To undergo a transformation; to change in appearance or character.
- (transitive) To change greatly the appearance or form of.
- (transitive, electricity) To subject to the action of a transformer.
- (mathematics, geometry) An isotropic scaling transformation of an affine space with a single fixed point.
- (mathematics) an isotropic scaling transformation of an affine space with a single fixed point.
- (commutative algebra, Bourbakist) A homomorphism from a module M over a ring A to itself of the form ν:x↦ax for some fixed a∈A (especially when M=A; a is said to be the ratio of the homothety, by analogy with the geometric case).
- Of a linear transformation: preserving its angles.
- Of a pair of vectors: having a zero inner product; perpendicular.
- Of a square matrix: such that its transpose is equal to its inverse.
- (statistics) Statistically independent, with reference to variates.
- (geometry) Of two objects, at right angles; perpendicular to each other.
- Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.
- (software engineering) Of two or more aspects of a problem, able to be treated separately; of a design, exhibiting consistency and composability.
- Of two or more problems or subjects, independent of or irrelevant to each other.
- Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.
- having a set of mutually perpendicular axes; meeting at right angles
- not pertinent to the matter under consideration
- statistically unrelated
- (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
- (geometry) An automorphism of affine space.
- A love interest; a paramour.
- The fact of and manner in which something is related to another.
- (chemistry) An attractive force between atoms, or groups of atoms, that contributes towards their forming bonds.
- (taxonomy) Resemblances between biological populations, suggesting that they have a common origin, type or stock.
- Any romantic relationship.
- A kinsman or kinswoman of a such relationship; one who is affinal.
- A natural attraction or feeling of kinship to a person or thing.
- (geology) Structural resemblances between minerals; resemblances that suggest that they are of a common origin or type.
- A family relationship through marriage of a relative (e.g. sister-in-law), as opposed to consanguinity (e.g. sister).
- (medicine) The attraction between an antibody and an antigen
- (computing) A tendency to keep a task running on the same processor in a symmetric multiprocessing operating system to reduce the frequency of cache misses.
- Any passionate love for something.
- a close connection marked by community of interests or similarity in nature or character
- a natural attraction or feeling of kinship
- (anthropology) kinship by marriage or adoption; not a blood relationship
- (immunology) the attraction between an antigen and an antibody
- the force attracting atoms to each other and binding them together in a molecule
- inherent resemblance between persons or things
- (biology) state of relationship between organisms or groups of organisms resulting in resemblance in structure or structural parts
- (geometry, linear algebra) A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments.
- (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
- (mathematics) a transformation in which the direction of one axis is reversed
- a likeness in which left and right are reversed
- the image of something as reflected by a mirror (or other reflective material)
- the phenomenon of a propagating wave (light or sound) being thrown back from a surface
- a calm, lengthy, intent consideration
- a remark expressing careful consideration
- the ability to reflect beams or rays
- expression without words
- (computing) The process or mechanism of determining the capabilities of an object at run-time.
- The act of reflecting or the state of being reflected.
- Something, such as an image, that is reflected.
- A representative manifestation or outcome of a condition, trend or trait.
- The property of a propagated wave being thrown back from a surface (such as a mirror).
- (followed by on) Used to make an implied criticism.
- Careful thought or consideration.
- (anatomy) The folding of a part; a fold.
- (differential geometry) The extent to which a Riemannian manifold is intrinsically curved.
- (mathematics) The extent to which a subspace is curved within a metric space.
- The shape of something curved.
- the rate of change (at a point) of the angle between a curve and a tangent to the curve
- the property possessed by the curving of a line or surface
- (medicine) a curving or bending; often abnormal
- (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
- (mathematics) A transformation which extracts a fragment of a mathematical object.
- (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.
- (geometry) An image of an object on a surface of fewer dimensions.
- (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
- (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.
- (now usually in set phrases, of a property of a geometric object, figure, etc.) Invariant under projective transformations.
- (category theory, most generally, of an object P in a category) Such that, given an epimorphism e:E→X and morphism f:P→X, f factors through e; that is, there exists a morphism ̃f:P→E with e∘̃f=f.
- projecting outward
- (of a geometric object, figure, etc.) Defined in or inhabiting a projective space.
- of, relating to, or caused by a projection
- (homological algebra, of a resolution) Such that every object in the resolution is projective.
- (group theory, of a profinite group G) Such that every epimorphism from a profinite group onto G has a right inverse which is a homomorphism.
- (module theory, of a (left) module M over a ring R) Such that there is another (left) R-module N with M⊕N a free R-module. Equivalently, projective in the category of modules (see below).
- (mathematics) A projective member of a category.
- (psychology) An assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.
- (linguistics) A statement about a conditional or potential state of affairs, as opposed to one about a situation that actually exists or existed.
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- (mathematics, geometry) An isotropic scaling transformation of an affine space with a single fixed point.
- (mathematics) an isotropic scaling transformation of an affine space with a single fixed point.
- (commutative algebra, Bourbakist) A homomorphism from a module M over a ring A to itself of the form ν:x↦ax for some fixed a∈A (especially when M=A; a is said to be the ratio of the homothety, by analogy with the geometric case).
- (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
- (geometry) An automorphism of affine space.
- A love interest; a paramour.
- The fact of and manner in which something is related to another.
- (chemistry) An attractive force between atoms, or groups of atoms, that contributes towards their forming bonds.
- (taxonomy) Resemblances between biological populations, suggesting that they have a common origin, type or stock.
- Any romantic relationship.
- A kinsman or kinswoman of a such relationship; one who is affinal.
- A natural attraction or feeling of kinship to a person or thing.
- (geology) Structural resemblances between minerals; resemblances that suggest that they are of a common origin or type.
- A family relationship through marriage of a relative (e.g. sister-in-law), as opposed to consanguinity (e.g. sister).
- (medicine) The attraction between an antibody and an antigen
- (computing) A tendency to keep a task running on the same processor in a symmetric multiprocessing operating system to reduce the frequency of cache misses.
- Any passionate love for something.
- a close connection marked by community of interests or similarity in nature or character
- a natural attraction or feeling of kinship
- (anthropology) kinship by marriage or adoption; not a blood relationship
- (immunology) the attraction between an antigen and an antibody
- the force attracting atoms to each other and binding them together in a molecule
- inherent resemblance between persons or things
- (biology) state of relationship between organisms or groups of organisms resulting in resemblance in structure or structural parts
- (geometry, linear algebra) A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments.
- (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
- (mathematics) a transformation in which the direction of one axis is reversed
- a likeness in which left and right are reversed
- the image of something as reflected by a mirror (or other reflective material)
- the phenomenon of a propagating wave (light or sound) being thrown back from a surface
- a calm, lengthy, intent consideration
- a remark expressing careful consideration
- the ability to reflect beams or rays
- expression without words
- (computing) The process or mechanism of determining the capabilities of an object at run-time.
- The act of reflecting or the state of being reflected.
- Something, such as an image, that is reflected.
- A representative manifestation or outcome of a condition, trend or trait.
- The property of a propagated wave being thrown back from a surface (such as a mirror).
- (followed by on) Used to make an implied criticism.
- Careful thought or consideration.
- (anatomy) The folding of a part; a fold.
- (differential geometry) The extent to which a Riemannian manifold is intrinsically curved.
- (mathematics) The extent to which a subspace is curved within a metric space.
- The shape of something curved.
- the rate of change (at a point) of the angle between a curve and a tangent to the curve
- the property possessed by the curving of a line or surface
- (medicine) a curving or bending; often abnormal
- (mathematics) A transformation which extracts a fragment of a mathematical object.
- (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.
- (geometry) An image of an object on a surface of fewer dimensions.
- (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
noun
noun
adj
adv
name
noun
noun
noun
noun
noun
- subject to a mathematical transformation
- (transitive, mathematics) To subject to a transformation; to change into another form without altering the value.
- change from one form or medium into another
- change in outward structure or looks
- increase or decrease (an alternating current or voltage)
- change or alter in form, appearance, or nature
- change (a bacterial cell) into a genetically distinct cell by the introduction of DNA from another cell of the same or closely related species
- convert (one form of energy) to another
- (transitive) To change the nature, condition or function of; to change in nature, disposition, heart, character, etc.; to convert.
- (transitive, genetics) To subject (a cell) to transformation.
- (intransitive) To undergo a transformation; to change in appearance or character.
- (transitive) To change greatly the appearance or form of.
- (transitive, electricity) To subject to the action of a transformer.
- (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
verb
noun
verb
- (mathematics) of or pertaining to the geometry of affine transformations
- (not comparable, geometry) Of or pertaining to a function expressible as f(⃑x)=A⃑x+⃑b (where A is a linear transformation and ⃑b is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.
- (anthropology) related by marriage
- (comparable, chemistry) Of two materials, having mutual affinity.
- (not comparable, mathematics) Assigning finite values to finite quantities.
- Of a linear transformation: preserving its angles.
- Of a pair of vectors: having a zero inner product; perpendicular.
- Of a square matrix: such that its transpose is equal to its inverse.
- (statistics) Statistically independent, with reference to variates.
- (geometry) Of two objects, at right angles; perpendicular to each other.
- Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.
- (software engineering) Of two or more aspects of a problem, able to be treated separately; of a design, exhibiting consistency and composability.
- Of two or more problems or subjects, independent of or irrelevant to each other.
- Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.
- having a set of mutually perpendicular axes; meeting at right angles
- not pertinent to the matter under consideration
- statistically unrelated
- (now usually in set phrases, of a property of a geometric object, figure, etc.) Invariant under projective transformations.
- (category theory, most generally, of an object P in a category) Such that, given an epimorphism e:E→X and morphism f:P→X, f factors through e; that is, there exists a morphism ̃f:P→E with e∘̃f=f.
- projecting outward
- (of a geometric object, figure, etc.) Defined in or inhabiting a projective space.
- of, relating to, or caused by a projection
- (homological algebra, of a resolution) Such that every object in the resolution is projective.
- (group theory, of a profinite group G) Such that every epimorphism from a profinite group onto G has a right inverse which is a homomorphism.
- (module theory, of a (left) module M over a ring R) Such that there is another (left) R-module N with M⊕N a free R-module. Equivalently, projective in the category of modules (see below).
- (mathematics) A projective member of a category.
- (psychology) An assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.
- (linguistics) A statement about a conditional or potential state of affairs, as opposed to one about a situation that actually exists or existed.