English-Wörter für 'A coordinate composed of eigenvalues'
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adj
adj
- (mathematics, of an eigenvalue) Having multiple different (linearly independent) eigenvectors.
- (physics) Having the same quantum energy level.
- Having lost functionality in general.
- (of an encoding or function) Having multiple domain elements correspond to one element of the range.
- (of qualities) Having deteriorated, degraded or fallen from normal, coherent, balanced and desirable to undesirable and typically abnormal.
- (mathematics) Qualitatively different, usually simpler, than typical objects of its class.
- (of a person or system) Having lost good or desirable qualities; hence also having bad character or habits, base, immoral, corrupt. ABR
- unrestrained by convention or morality
noun
verb
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
- (mathematics) The point at which the axes of a coordinate system intersect.
- the point of intersection of coordinate axes; where the values of the coordinates are all zero
- (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.
- 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
noun
- (mathematics) The links between the x-values and y-values of ordered pairs of numbers especially coordinates.
- (music) The level or degree of affinity between keys, chords and tones.
- A romantic or sexual involvement.
- A way in which two or more people behave and are involved with each other
- Connection or association; the condition of being related.
- Kinship; being related by blood or marriage.
- a relation between people; (‘relationship’ is often used where ‘relation’ would serve, as in ‘the relationship between inflation and unemployment’, but the preferred usage of ‘relationship’ is for human relations or states of relatedness)
- a state involving mutual dealings between people or parties or countries
- a state of connectedness between people (especially an emotional connection)
- (anthropology) relatedness or connection by blood or marriage or adoption
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
- 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
- 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
- (mathematics) The point at which the axes of a coordinate system intersect.
- the point of intersection of coordinate axes; where the values of the coordinates are all zero
- (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.
- 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
noun
- (mathematics) The links between the x-values and y-values of ordered pairs of numbers especially coordinates.
- (music) The level or degree of affinity between keys, chords and tones.
- A romantic or sexual involvement.
- A way in which two or more people behave and are involved with each other
- Connection or association; the condition of being related.
- Kinship; being related by blood or marriage.
- a relation between people; (‘relationship’ is often used where ‘relation’ would serve, as in ‘the relationship between inflation and unemployment’, but the preferred usage of ‘relationship’ is for human relations or states of relatedness)
- a state involving mutual dealings between people or parties or countries
- a state of connectedness between people (especially an emotional connection)
- (anthropology) relatedness or connection by blood or marriage or adoption
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.
adj
adj
- (mathematics, of an eigenvalue) Having multiple different (linearly independent) eigenvectors.
- (physics) Having the same quantum energy level.
- Having lost functionality in general.
- (of an encoding or function) Having multiple domain elements correspond to one element of the range.
- (of qualities) Having deteriorated, degraded or fallen from normal, coherent, balanced and desirable to undesirable and typically abnormal.
- (mathematics) Qualitatively different, usually simpler, than typical objects of its class.
- (of a person or system) Having lost good or desirable qualities; hence also having bad character or habits, base, immoral, corrupt. ABR
- unrestrained by convention or morality
noun
verb
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