English words for 'Alternative form of uniformly.'
Closest matches for "Alternative form of uniformly." are ranked by semantic fit across dictionary definitions.
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adj
- (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.).
- (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.
- (geometry) Of or relating to homogeneous coordinates.
- 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
verb
noun
- (art, printing, uncountable) The technique of making such prints.
- A keyboard-operated typesetting and casting machine that makes and sets separate characters.
- (art, printing) A print made by creating the design using oil paint or printer's ink on metal or glass, then transferring the image directly to paper.
- (biology) A monotypic taxon.
- (sailing) A sailboat designed to be crewed or raced by a single person.
- (computing theory) In the Hindley–Milner type system, a single specific data type.
- the sole print made by pressing paper against a painted or inked glass or metal plate
- a typesetting machine operated from a keyboard that sets separate characters
- (biology) a taxonomic group with a single member (a single species or genus)
prefix
prefix
prep_phrase
noun
- the act of bringing to uniformity; making regular
- the condition of having been made regular (or more regular)
- The act of making regular, of regularizing.
- (mathematics, computer science, finance) a process that simplifies results, often used to obtain results for ill-posed problems or to prevent overfitting.
noun
- the act of bringing to uniformity; making regular
- the act of controlling or directing according to rule
- a principle or condition that customarily governs behavior
- the state of being controlled or governed
- an authoritative command
- (embryology) the ability of an early embryo to continue normal development after its structure has been somehow damaged or altered
- (uncountable) The act of regulating or the condition of being regulated.
- (countable) A law or administrative rule, issued by an organization, used to guide or prescribe the conduct of members of that organization.
- (countable, in the singular) A numbered provision within such kind of legislation.
- (law, often in the plural) A type of law made by the executive branch of a government, usually as authorized by a statute made by the legislative branch giving the executive the authority to do so.
- (European Union law) A form of legislative act which is self-effecting, and requires no further intervention by the Member States to become law.
- (genetics) Mechanism controlling DNA transcription.
- (medicine) Physiological process which consists in maintaining homoeostasis.
adj
noun
- the act of bringing to uniformity; making regular
- the condition of having been made regular (or more regular)
- The act of making regular, of regularizing.
- (mathematics, computer science, finance) a process that simplifies results, often used to obtain results for ill-posed problems or to prevent overfitting.
noun
- the act of bringing to uniformity; making regular
- the act of controlling or directing according to rule
- a principle or condition that customarily governs behavior
- the state of being controlled or governed
- an authoritative command
- (embryology) the ability of an early embryo to continue normal development after its structure has been somehow damaged or altered
- (uncountable) The act of regulating or the condition of being regulated.
- (countable) A law or administrative rule, issued by an organization, used to guide or prescribe the conduct of members of that organization.
- (countable, in the singular) A numbered provision within such kind of legislation.
- (law, often in the plural) A type of law made by the executive branch of a government, usually as authorized by a statute made by the legislative branch giving the executive the authority to do so.
- (European Union law) A form of legislative act which is self-effecting, and requires no further intervention by the Member States to become law.
- (genetics) Mechanism controlling DNA transcription.
- (medicine) Physiological process which consists in maintaining homoeostasis.
adj
verb
noun
- (art, printing, uncountable) The technique of making such prints.
- A keyboard-operated typesetting and casting machine that makes and sets separate characters.
- (art, printing) A print made by creating the design using oil paint or printer's ink on metal or glass, then transferring the image directly to paper.
- (biology) A monotypic taxon.
- (sailing) A sailboat designed to be crewed or raced by a single person.
- (computing theory) In the Hindley–Milner type system, a single specific data type.
- the sole print made by pressing paper against a painted or inked glass or metal plate
- a typesetting machine operated from a keyboard that sets separate characters
- (biology) a taxonomic group with a single member (a single species or genus)
adj
- (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.).
- (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.
- (geometry) Of or relating to homogeneous coordinates.
- 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