Parole in English per 'Having the same coordinates'
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adj
- Of a coordinate system: not following the right-hand rule.
- Insincere or malicious.
- (occult, of magic) Performed with the intention of doing harm or in transgression against convention or taboo; following the left-hand path
- Awkward or maladroit.
- Using one's left hand in preference to, or more skillfully than, one's right.
- Turning or spiraling from right to left; anticlockwise.
- Intended to be worn on, or used by, the left hand.
- ironically ambiguous
- rotating to the left
- lacking physical movement skills, especially with the hands
- (of marriages) of a marriage between one of royal or noble birth and one of lower rank; valid but with the understanding that the rank of the inferior remains unchanged and offspring do not succeed to titles or property of the superior
- (of marriages) illicit or informal
- using or intended for the left hand
noun
noun
- the point of intersection of coordinate axes; where the values of the coordinates are all zero
- (mathematics) The point at which the axes of a coordinate system intersect.
- an event that is a beginning; a first part or stage of subsequent events
- the place where something begins, where it springs into being
- the source of something's existence or from which it derives or is derived
- the hereditary derivation of an individual
- properties attributable to your ancestry
- (anatomy) The proximal end of attachment of a muscle to a bone that will not be moved by the action of that muscle.
- (cartography) An arbitrary point on Earth's surface, chosen as the zero for a system of coordinates.
- The beginning of something.
- (in the plural) Ancestry.
- The source of a river, information, goods, etc.
noun
- a system that uses coordinates to establish position
- a system of assumptions and standards that sanction behavior and give it meaning
- (physics) A set of axes which enable an observer to measure the position and motion of all bodies in some system relative to the reference frame.
- A set of assumptions, ideas and standards that form a viewpoint from which philosophical, religious and other ideas may be evaluated.
adj
- Of a coordinate system: following the right-hand rule.
- (not comparable) Intended to be worn on, or used by, the right hand.
- (physics) Of a particle for which the direction of its spin is the same as the direction of its motion.
- Using one's right hand in preference to, or more skillfully than, one's left.
- (not comparable) Turning or spiralling from left to right; clockwise.
- using or intended for the right hand
- rotating to the right
noun
noun
- (mathematics) A system of coordinates using such measurements to indicate position.
- (mathematics) The coordinates of a point in a plane, measured as its Cartesian distance from the origin and the angle measured counterclockwise from the x-axis to a line joining the point to the origin.
- (mathematics) The coordinates of a point in three-dimensional space, measured as its Cartesian distance from the origin, the angle measured from the z-axis to a line joining the point to the origin, and the angle measured counterclockwise from the x-axis to this line.
adj
- (mathematics) Of a coordinate system, specifying the location of a point in a plane by using a radius and two angles.
- (geometry) Shaped as a sphere; being a sphere.
- (geometry, not comparable) Of, or pertaining to, spheres.
- (astrology) Of or relating to the heavenly orbs, or to the sphere or spheres in which, according to ancient astronomy and astrology, they were set.
- (statistics, econometrics) Of a multivariate probability distribution, to have a covariance matrix equal to the identity matrix up to a multiplicative factor.
- of or relating to spheres or resembling a sphere
- having the shape of a sphere or ball
noun
- one of three Cartesian coordinates that determine a position in space
- the magnitude of something in a particular direction (especially length or width or height)
- a construct whereby objects or individuals can be distinguished
- magnitude or extent
- (linear algebra) The number of elements of any basis of a vector space.
- (computing) Any of the independent ranges of indices in a multidimensional array.
- A construct whereby objects or individuals can be distinguished.
- (physics) One of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time.
- (geometry) The number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates.
- (science fiction, fantasy) A universe or plane of existence.
- A single aspect of a given thing.
- A measure of spatial extent in a particular direction, such as height, width or breadth, or depth.
verb
noun
- the value of a coordinate on the horizontal axis
- (geometry) The horizontal line representing an axis of a Cartesian coordinate system, on which the abscissa (sense above) is shown.
- (geometry) The first of the two terms by which a point is referred to, in a system of fixed rectilinear coordinate (Cartesian coordinate) axes.
noun
- position or alignment relative to points of the compass or other specific directions
- a course introducing a new situation or environment
- an integrated set of attitudes and beliefs
- the act of orienting
- a person's awareness of self with regard to position and time and place and personal relationships
- a predisposition in favor of something
- (countable) The determination of the relative position of something or someone.
- (mathematical analysis, differential geometry, countable) The choice of which ordered bases are "positively" oriented and which are "negatively" oriented on a real vector space.
- (countable) An inclination, tendency or direction.
- (analytic geometry, topology, countable) The designation of a parametrised curve as "positively" or "negatively" oriented; the analogous description of a surface or hypersurface.
- (countable) The ability to orient, or the process of so doing.
- (countable) An adjustment to a new environment.
- (education) Events to orient new students at a school; events to help new students become familiar with a school.
- (uncountable) The construction of a Christian church to have its aisle in an east-west direction with the altar at the east end.
- (LGBTQ) Ellipsis of sexual orientation.
- (typography, countable) The direction of print across the page; landscape or portrait.
- (countable) An introduction to a (new) environment.
- (countable) The relative physical position or direction of something.
adj
- (geometry) Of or relating to homogeneous coordinates.
- (ring theory, of an element of a graded ring) Belonging to one of the summands of the grading (if the ring is graded over the natural numbers and the element is in the kth summand, it is said to be homogeneous of degree k; if the ring is graded over a commutative monoid I, and the element is an element of the ith summand, it is said to be of grade i)
- (of a linear differential equation) Having its degree-zero term equal to zero; admitting the trivial solution.
- (algebra, of a polynomial) Such that all its nonzero terms have the same degree.
- Having the same composition throughout; of uniform make-up.
- (probability theory, Fourier analysis, of a distribution S on Euclidean n-space (or on ℝⁿmathbf 0)) Informally: Determined by its restriction to the unit sphere. Formally: Such that, for all real t>0 and test functions ϕ( mathbf x), the equality S[t⁻ⁿϕ( mathbf x/t)]=t^(mS)[ϕ( mathbf x)] holds for some fixed real or complex m.
- Of the same kind; alike, similar.
- (of a linear map f between vector spaces graded by a commutative monoid I) Which respects the grading of its domain and codomain. Formally: Satisfying f(V_j)⊆W_i+j for fixed i (called the degree or grade of f), V_j the jth component of the grading of f 's domain, W_k the kth component of the grading of f 's codomain, and + representing the monoid operation in I.
- (geometry, of a space equipped with a group action) Informally: Everywhere the same, uniform, in the sense that any point can be moved to any other (via the group action) while respecting the structure of the space. Formally: Such that the group action is transitively and acts by automorphisms on the space (some authors also require that the action be faithful).
- (set theory, order theory, of a relation) Holding between a set and itself; being an endorelation.
- (of a first-order differential equation) Capable of being written in the form f(x,y) mathop dy=g(x,y) mathop dx where f and g are homogeneous functions of the same degree as each other.
- (linear algebra, by specialization, of a system of linear equations) Such that all the constant terms are zero.
- (mathematics) In any of several technical senses uniform; scalable; having its behavior or form determined by, or the same as, its behavior on or form at a smaller component (of its domain of definition, of itself, etc.).
- The function f(x,y)#61;x²#43;x²ʸ#43;y² is not homogeneous on all of #92;mathbb#123;R#125;² because f(2,2)#61;16#92;neq 2ᵏ#42;3#61;2ᵏf(1,1) for any k, but f is homogeneous on the subspace of #92;mathbb#123;R#125;² spanned by (1,0) because f(#92;alphax,#92;alphay)#61;#92;alphax²#61;#92;alpha²f(x,y) for all (x,y)#92;in#92;operatorname#123;Span#125;#92;#123;(1,0)#92;#125;.
- (mathematical analysis, generalizing the case of polynomial functions, of a function f) Such that if each of f 's inputs are multiplied by the same scalar, f 's output is multiplied by the same scalar to some fixed power (called the degree of homogeneity or degree of f). (Formally and more generally, of a partial function f between vector spaces whose domain is a linear cone) Satisfying the equality f(s mathbf x)=sᵏᶠ(
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (chemistry) In the same state of matter.
- all of the same or similar kind or nature
noun
- one of the coordinates in a system of coordinates that locates a point on a plane or in space by its distance from two lines or three planes respectively; the two lines or the intersections of the three planes are the coordinate axes
- (geometry) The coordinates of a point measured from an origin along a horizontal axis from left to right (the x-axis) and along a vertical axis from bottom to top (the y-axis). This can be extended to three-dimensions by the z-axis perpendicular to the x- and y-axes.
adj
- the same distance apart at every point
- Occupying a position that is an equal distance between several points. Note that in a one-dimensional space this position can be identified with two points, in a two-dimensional space with three points (not on the same straight line), and in a three-dimensional space with four points (not in the same plane).
- (cartography) Describing a map projection that preserves scale. No map can show scale correctly throughout the entire map but some can show true scale between one or two points and every point or along every meridian and these are referred to as equidistant.
- Occupying a position midway between two ends or sides.
noun
- (geometry) the placement of one object ideally in the position of another one in order to show that the two coincide
- (geology) the principle that in a series of stratified sedimentary rocks the lowest stratum is the oldest
- the placement of one thing on top of another
- (geology) the deposition of one geological stratum on another
- (geology) The deposition of one stratum over another; the principle that in a series of sedimentary strata, the lower strata are the older.
- The placing of one thing on top of another.
- (quantum mechanics) The situation in quantum mechanics where two or more quantum states are added together (superposed) to yield another valid quantum state.
verb
noun
verb
- coordinate in such a way that all parts work together effectively
- entangle or catch in (or as if in) a mesh
- keep engaged
- work together in harmony
- (transitive) To catch in a mesh.
- (intransitive, figurative, by extension) To fit in; to come together harmoniously.
- (ambitransitive) To connect together by interlocking, as gears do.
noun
- an open fabric of string or rope or wire woven together at regular intervals
- the topology of a network whose components are all connected directly to every other component
- contact by fitting together
- the act of interlocking or meshing
- the number of openings per linear inch of a screen; measures size of particles
- A measure of fineness (particle size) of ground material. A powder that passes through a sieve having 300 openings per linear inch but does not pass 400 openings per linear inch is said to be -300 +400 mesh.
- (networking) A network topology with each device connected to multiple other devices in lieu of a central switch. Redundancy on a mesh network prevents single points of failure.
- (electronics) In mesh analysis: a loop in an electric circuit (to which Kirchhoff's voltage law can be applied).
- The engagement of the teeth of wheels, or of a wheel and rack.
- The opening or space enclosed by the threads of a net between knot and knot, or the threads enclosing such a space.
- (computer graphics) A polygon mesh.
- A structure made of connected strands of metal, fiber, or other flexible/ductile material, with evenly spaced openings between them.
noun
- the point at which a line intersects a coordinate axis
- (algebraic geometry) The coordinate of the point at which a curve intersects an axis.
- An interception of a missile.
- (marketing) A form of market research where consumers are intercepted and interviewed in a retail store or mall.
- An interception of a radio broadcast or a telephone call.
verb
- tap a telephone or telegraph wire to get information
- seize on its way
- (transitive, sports) To gain possession of (the ball) in a ball game.
- To perform an aeronautical action in which a fighter approaches a suspicious aircraft to escort it away from a prohibited area, or approaches an enemy aircraft to shoot it down.
- (transitive) To stop, deflect or divert (something in progress or motion).
- (transitive, American football) Of a defensive player: to steal a pass thrown by the opposing team, gaining possession of the ball.
- (transitive, mathematics) To take or comprehend between.
adj
- (geometry) Of a point, having coordinates that are algebraically independent over the base field.
- Relating to gender.
- Very broad; pertaining or appropriate to large classes or groups as opposed to specific instances.
- (pharmacology) Of a product or drug, not having a brand name; nonproprietary in design or contents; fungible with the rest of its class.
- Relating to genre.
- Lacking in precision, often in an evasive fashion; vague; imprecise.
- (computing) Of a procedure, written so as to operate on any data type, the type required being passed as a parameter.
- (grammar, nonstandard) Specifying neither masculine nor feminine; epicene; unisex.
- Having no distinguishing characteristics; unoriginal.
- (taxonomy) Pertaining to genera of life instead of particular species thereof.
- relating to or common to or descriptive of all members of a genus
- applicable to an entire class or group
- (of drugs) not protected by trademark
noun
- (toponymy) The part of a toponym that identifies the feature's type.
- A wine that is a combination of several wines, or made from a combination of several grape varieties.
- A product sold under a generic name.
- (grammar) A term that specifies neither male nor female.
- any product that can be sold without a brand name
- wine that does not meet the minimum qualifications and standards for use of a designation by appellation of origin (where the grapes are grown) or by varietal content; may only be labeled by proprietary (made-up) name, by general color (such as ‘vin rouge’, ‘vino rosso’, ‘rotwein’, ‘red wine’, etc.), or by general class (as ‘vin ordinaire’, ‘vin de table’, ‘vino da tavola’, ‘tafelwein’, ‘table wine’, etc.)
adj
- On a direct bearing, especially for the four points of the compass.
- Owed or owing.
- Appropriate.
- Owing; ascribable, as to a cause.
- Having reached the expected, scheduled, or natural time.
- Scheduled; expected.
- owed and payable immediately or on demand
- suitable to or expected in the circumstances
- scheduled to arrive
- capable of being assigned or credited to
adv
noun
- That which is owed; debt; that which belongs or may be claimed as a right; whatever custom, law, or morality requires to be done, duty.
- Right; just title or claim.
- (in the plural) A membership fee.
- Deserved acknowledgment.
- that which is deserved or owed
- a payment that is due (e.g., as the price of membership)
adj
- (mathematics) Of a coordinate system, specifying the location of a point in a plane by using a radius and an angle.
- (geography) Of, relating to, measured from, or referred to a geographic pole (the North Pole or South Pole); within the Arctic or Antarctic circles.
- (conceptual analysis) Of or relating to a pole (extreme) on any spectrum or field, such as an ideologically pure dogmatic position as opposed to any syncretic integration or balancing of competing principles.
- (linguistics, of a question) Having but two possible answers, yes and no.
- (chemistry) Having a dipole; ionic.
- (space sciences) Of an orbit that passes over, or near, one of these poles.
- extremely cold
- characterized by opposite extremes; completely opposed
- located at or near or coming from the earth's poles
- being of crucial importance
- of or existing at or near a geographical pole or within the Arctic or Antarctic Circles
- having a pair of equal and opposite charges
noun
noun
- (navigation) A line which crosses successive meridians at a constant angle.
- (navigation) Any of the 32 points of the compass.
- (navigation) A unit of angular measure equal to 1/32 of a circle or 11.25°.
- a line on a sphere that cuts all meridians at the same angle; the path taken by a ship or plane that maintains a constant compass direction
noun
- the value of a coordinate on the vertical axis
- (geometry) The vertical line representing an axis of a Cartesian coordinate system, on which the ordinate (sense above) is shown.
- (geometry) The second of the two terms by which a point is referred to, in a system of fixed rectilinear coordinate (Cartesian coordinate) axes.
verb
- appoint to a clerical posts
- bring (components or parts) into proper or desirable coordination correlation
- (transitive, statistics, ecology) To subject to the mathematical operation of ordination.
- (transitive) To align a series of objects.
- (transitive, uncommon) To ordain a priest, or consecrate a bishop.
adj
noun
- the point of intersection of coordinate axes; where the values of the coordinates are all zero
- (mathematics) The point at which the axes of a coordinate system intersect.
- an event that is a beginning; a first part or stage of subsequent events
- the place where something begins, where it springs into being
- the source of something's existence or from which it derives or is derived
- the hereditary derivation of an individual
- properties attributable to your ancestry
- (anatomy) The proximal end of attachment of a muscle to a bone that will not be moved by the action of that muscle.
- (cartography) An arbitrary point on Earth's surface, chosen as the zero for a system of coordinates.
- The beginning of something.
- (in the plural) Ancestry.
- The source of a river, information, goods, etc.
noun
- a system that uses coordinates to establish position
- a system of assumptions and standards that sanction behavior and give it meaning
- (physics) A set of axes which enable an observer to measure the position and motion of all bodies in some system relative to the reference frame.
- A set of assumptions, ideas and standards that form a viewpoint from which philosophical, religious and other ideas may be evaluated.
noun
- (mathematics) A system of coordinates using such measurements to indicate position.
- (mathematics) The coordinates of a point in a plane, measured as its Cartesian distance from the origin and the angle measured counterclockwise from the x-axis to a line joining the point to the origin.
- (mathematics) The coordinates of a point in three-dimensional space, measured as its Cartesian distance from the origin, the angle measured from the z-axis to a line joining the point to the origin, and the angle measured counterclockwise from the x-axis to this line.
noun
- one of three Cartesian coordinates that determine a position in space
- the magnitude of something in a particular direction (especially length or width or height)
- a construct whereby objects or individuals can be distinguished
- magnitude or extent
- (linear algebra) The number of elements of any basis of a vector space.
- (computing) Any of the independent ranges of indices in a multidimensional array.
- A construct whereby objects or individuals can be distinguished.
- (physics) One of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time.
- (geometry) The number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates.
- (science fiction, fantasy) A universe or plane of existence.
- A single aspect of a given thing.
- A measure of spatial extent in a particular direction, such as height, width or breadth, or depth.
verb
noun
- the value of a coordinate on the horizontal axis
- (geometry) The horizontal line representing an axis of a Cartesian coordinate system, on which the abscissa (sense above) is shown.
- (geometry) The first of the two terms by which a point is referred to, in a system of fixed rectilinear coordinate (Cartesian coordinate) axes.
noun
- position or alignment relative to points of the compass or other specific directions
- a course introducing a new situation or environment
- an integrated set of attitudes and beliefs
- the act of orienting
- a person's awareness of self with regard to position and time and place and personal relationships
- a predisposition in favor of something
- (countable) The determination of the relative position of something or someone.
- (mathematical analysis, differential geometry, countable) The choice of which ordered bases are "positively" oriented and which are "negatively" oriented on a real vector space.
- (countable) An inclination, tendency or direction.
- (analytic geometry, topology, countable) The designation of a parametrised curve as "positively" or "negatively" oriented; the analogous description of a surface or hypersurface.
- (countable) The ability to orient, or the process of so doing.
- (countable) An adjustment to a new environment.
- (education) Events to orient new students at a school; events to help new students become familiar with a school.
- (uncountable) The construction of a Christian church to have its aisle in an east-west direction with the altar at the east end.
- (LGBTQ) Ellipsis of sexual orientation.
- (typography, countable) The direction of print across the page; landscape or portrait.
- (countable) An introduction to a (new) environment.
- (countable) The relative physical position or direction of something.
noun
- one of the coordinates in a system of coordinates that locates a point on a plane or in space by its distance from two lines or three planes respectively; the two lines or the intersections of the three planes are the coordinate axes
- (geometry) The coordinates of a point measured from an origin along a horizontal axis from left to right (the x-axis) and along a vertical axis from bottom to top (the y-axis). This can be extended to three-dimensions by the z-axis perpendicular to the x- and y-axes.
noun
- (geometry) the placement of one object ideally in the position of another one in order to show that the two coincide
- (geology) the principle that in a series of stratified sedimentary rocks the lowest stratum is the oldest
- the placement of one thing on top of another
- (geology) the deposition of one geological stratum on another
- (geology) The deposition of one stratum over another; the principle that in a series of sedimentary strata, the lower strata are the older.
- The placing of one thing on top of another.
- (quantum mechanics) The situation in quantum mechanics where two or more quantum states are added together (superposed) to yield another valid quantum state.
noun
- the point at which a line intersects a coordinate axis
- (algebraic geometry) The coordinate of the point at which a curve intersects an axis.
- An interception of a missile.
- (marketing) A form of market research where consumers are intercepted and interviewed in a retail store or mall.
- An interception of a radio broadcast or a telephone call.
verb
- tap a telephone or telegraph wire to get information
- seize on its way
- (transitive, sports) To gain possession of (the ball) in a ball game.
- To perform an aeronautical action in which a fighter approaches a suspicious aircraft to escort it away from a prohibited area, or approaches an enemy aircraft to shoot it down.
- (transitive) To stop, deflect or divert (something in progress or motion).
- (transitive, American football) Of a defensive player: to steal a pass thrown by the opposing team, gaining possession of the ball.
- (transitive, mathematics) To take or comprehend between.
noun
- (navigation) A line which crosses successive meridians at a constant angle.
- (navigation) Any of the 32 points of the compass.
- (navigation) A unit of angular measure equal to 1/32 of a circle or 11.25°.
- a line on a sphere that cuts all meridians at the same angle; the path taken by a ship or plane that maintains a constant compass direction
noun
- the value of a coordinate on the vertical axis
- (geometry) The vertical line representing an axis of a Cartesian coordinate system, on which the ordinate (sense above) is shown.
- (geometry) The second of the two terms by which a point is referred to, in a system of fixed rectilinear coordinate (Cartesian coordinate) axes.
verb
- appoint to a clerical posts
- bring (components or parts) into proper or desirable coordination correlation
- (transitive, statistics, ecology) To subject to the mathematical operation of ordination.
- (transitive) To align a series of objects.
- (transitive, uncommon) To ordain a priest, or consecrate a bishop.
adj
verb
noun
verb
- coordinate in such a way that all parts work together effectively
- entangle or catch in (or as if in) a mesh
- keep engaged
- work together in harmony
- (transitive) To catch in a mesh.
- (intransitive, figurative, by extension) To fit in; to come together harmoniously.
- (ambitransitive) To connect together by interlocking, as gears do.
noun
- an open fabric of string or rope or wire woven together at regular intervals
- the topology of a network whose components are all connected directly to every other component
- contact by fitting together
- the act of interlocking or meshing
- the number of openings per linear inch of a screen; measures size of particles
- A measure of fineness (particle size) of ground material. A powder that passes through a sieve having 300 openings per linear inch but does not pass 400 openings per linear inch is said to be -300 +400 mesh.
- (networking) A network topology with each device connected to multiple other devices in lieu of a central switch. Redundancy on a mesh network prevents single points of failure.
- (electronics) In mesh analysis: a loop in an electric circuit (to which Kirchhoff's voltage law can be applied).
- The engagement of the teeth of wheels, or of a wheel and rack.
- The opening or space enclosed by the threads of a net between knot and knot, or the threads enclosing such a space.
- (computer graphics) A polygon mesh.
- A structure made of connected strands of metal, fiber, or other flexible/ductile material, with evenly spaced openings between them.
adj
- Of a coordinate system: not following the right-hand rule.
- Insincere or malicious.
- (occult, of magic) Performed with the intention of doing harm or in transgression against convention or taboo; following the left-hand path
- Awkward or maladroit.
- Using one's left hand in preference to, or more skillfully than, one's right.
- Turning or spiraling from right to left; anticlockwise.
- Intended to be worn on, or used by, the left hand.
- ironically ambiguous
- rotating to the left
- lacking physical movement skills, especially with the hands
- (of marriages) of a marriage between one of royal or noble birth and one of lower rank; valid but with the understanding that the rank of the inferior remains unchanged and offspring do not succeed to titles or property of the superior
- (of marriages) illicit or informal
- using or intended for the left hand
noun
adj
- Of a coordinate system: following the right-hand rule.
- (not comparable) Intended to be worn on, or used by, the right hand.
- (physics) Of a particle for which the direction of its spin is the same as the direction of its motion.
- Using one's right hand in preference to, or more skillfully than, one's left.
- (not comparable) Turning or spiralling from left to right; clockwise.
- using or intended for the right hand
- rotating to the right
noun
adj
- (mathematics) Of a coordinate system, specifying the location of a point in a plane by using a radius and two angles.
- (geometry) Shaped as a sphere; being a sphere.
- (geometry, not comparable) Of, or pertaining to, spheres.
- (astrology) Of or relating to the heavenly orbs, or to the sphere or spheres in which, according to ancient astronomy and astrology, they were set.
- (statistics, econometrics) Of a multivariate probability distribution, to have a covariance matrix equal to the identity matrix up to a multiplicative factor.
- of or relating to spheres or resembling a sphere
- having the shape of a sphere or ball
adj
- (geometry) Of or relating to homogeneous coordinates.
- (ring theory, of an element of a graded ring) Belonging to one of the summands of the grading (if the ring is graded over the natural numbers and the element is in the kth summand, it is said to be homogeneous of degree k; if the ring is graded over a commutative monoid I, and the element is an element of the ith summand, it is said to be of grade i)
- (of a linear differential equation) Having its degree-zero term equal to zero; admitting the trivial solution.
- (algebra, of a polynomial) Such that all its nonzero terms have the same degree.
- Having the same composition throughout; of uniform make-up.
- (probability theory, Fourier analysis, of a distribution S on Euclidean n-space (or on ℝⁿmathbf 0)) Informally: Determined by its restriction to the unit sphere. Formally: Such that, for all real t>0 and test functions ϕ( mathbf x), the equality S[t⁻ⁿϕ( mathbf x/t)]=t^(mS)[ϕ( mathbf x)] holds for some fixed real or complex m.
- Of the same kind; alike, similar.
- (of a linear map f between vector spaces graded by a commutative monoid I) Which respects the grading of its domain and codomain. Formally: Satisfying f(V_j)⊆W_i+j for fixed i (called the degree or grade of f), V_j the jth component of the grading of f 's domain, W_k the kth component of the grading of f 's codomain, and + representing the monoid operation in I.
- (geometry, of a space equipped with a group action) Informally: Everywhere the same, uniform, in the sense that any point can be moved to any other (via the group action) while respecting the structure of the space. Formally: Such that the group action is transitively and acts by automorphisms on the space (some authors also require that the action be faithful).
- (set theory, order theory, of a relation) Holding between a set and itself; being an endorelation.
- (of a first-order differential equation) Capable of being written in the form f(x,y) mathop dy=g(x,y) mathop dx where f and g are homogeneous functions of the same degree as each other.
- (linear algebra, by specialization, of a system of linear equations) Such that all the constant terms are zero.
- (mathematics) In any of several technical senses uniform; scalable; having its behavior or form determined by, or the same as, its behavior on or form at a smaller component (of its domain of definition, of itself, etc.).
- The function f(x,y)#61;x²#43;x²ʸ#43;y² is not homogeneous on all of #92;mathbb#123;R#125;² because f(2,2)#61;16#92;neq 2ᵏ#42;3#61;2ᵏf(1,1) for any k, but f is homogeneous on the subspace of #92;mathbb#123;R#125;² spanned by (1,0) because f(#92;alphax,#92;alphay)#61;#92;alphax²#61;#92;alpha²f(x,y) for all (x,y)#92;in#92;operatorname#123;Span#125;#92;#123;(1,0)#92;#125;.
- (mathematical analysis, generalizing the case of polynomial functions, of a function f) Such that if each of f 's inputs are multiplied by the same scalar, f 's output is multiplied by the same scalar to some fixed power (called the degree of homogeneity or degree of f). (Formally and more generally, of a partial function f between vector spaces whose domain is a linear cone) Satisfying the equality f(s mathbf x)=sᵏᶠ(
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (chemistry) In the same state of matter.
- all of the same or similar kind or nature
adj
- the same distance apart at every point
- Occupying a position that is an equal distance between several points. Note that in a one-dimensional space this position can be identified with two points, in a two-dimensional space with three points (not on the same straight line), and in a three-dimensional space with four points (not in the same plane).
- (cartography) Describing a map projection that preserves scale. No map can show scale correctly throughout the entire map but some can show true scale between one or two points and every point or along every meridian and these are referred to as equidistant.
- Occupying a position midway between two ends or sides.
adj
- (geometry) Of a point, having coordinates that are algebraically independent over the base field.
- Relating to gender.
- Very broad; pertaining or appropriate to large classes or groups as opposed to specific instances.
- (pharmacology) Of a product or drug, not having a brand name; nonproprietary in design or contents; fungible with the rest of its class.
- Relating to genre.
- Lacking in precision, often in an evasive fashion; vague; imprecise.
- (computing) Of a procedure, written so as to operate on any data type, the type required being passed as a parameter.
- (grammar, nonstandard) Specifying neither masculine nor feminine; epicene; unisex.
- Having no distinguishing characteristics; unoriginal.
- (taxonomy) Pertaining to genera of life instead of particular species thereof.
- relating to or common to or descriptive of all members of a genus
- applicable to an entire class or group
- (of drugs) not protected by trademark
noun
- (toponymy) The part of a toponym that identifies the feature's type.
- A wine that is a combination of several wines, or made from a combination of several grape varieties.
- A product sold under a generic name.
- (grammar) A term that specifies neither male nor female.
- any product that can be sold without a brand name
- wine that does not meet the minimum qualifications and standards for use of a designation by appellation of origin (where the grapes are grown) or by varietal content; may only be labeled by proprietary (made-up) name, by general color (such as ‘vin rouge’, ‘vino rosso’, ‘rotwein’, ‘red wine’, etc.), or by general class (as ‘vin ordinaire’, ‘vin de table’, ‘vino da tavola’, ‘tafelwein’, ‘table wine’, etc.)
adj
- On a direct bearing, especially for the four points of the compass.
- Owed or owing.
- Appropriate.
- Owing; ascribable, as to a cause.
- Having reached the expected, scheduled, or natural time.
- Scheduled; expected.
- owed and payable immediately or on demand
- suitable to or expected in the circumstances
- scheduled to arrive
- capable of being assigned or credited to
adv
noun
- That which is owed; debt; that which belongs or may be claimed as a right; whatever custom, law, or morality requires to be done, duty.
- Right; just title or claim.
- (in the plural) A membership fee.
- Deserved acknowledgment.
- that which is deserved or owed
- a payment that is due (e.g., as the price of membership)
adj
- (mathematics) Of a coordinate system, specifying the location of a point in a plane by using a radius and an angle.
- (geography) Of, relating to, measured from, or referred to a geographic pole (the North Pole or South Pole); within the Arctic or Antarctic circles.
- (conceptual analysis) Of or relating to a pole (extreme) on any spectrum or field, such as an ideologically pure dogmatic position as opposed to any syncretic integration or balancing of competing principles.
- (linguistics, of a question) Having but two possible answers, yes and no.
- (chemistry) Having a dipole; ionic.
- (space sciences) Of an orbit that passes over, or near, one of these poles.
- extremely cold
- characterized by opposite extremes; completely opposed
- located at or near or coming from the earth's poles
- being of crucial importance
- of or existing at or near a geographical pole or within the Arctic or Antarctic Circles
- having a pair of equal and opposite charges