English-Wörter für '(mathematics) A continuous linear functional.'
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noun
- The state of being linear.
- (mathematics) A relationship between several quantities which can be considered as proportional and expressed in terms of linear algebra, or any mathematical property of a relationship, operation or function that is analogous to such proportionality, satisfying additivity and homogeneity.
- the property of having one dimension
noun
- (geometry) The codimension of a linear system in the corresponding complete linear system.
- (uncountable) Inadequacy or incompleteness.
- (geometry) The amount by which the number of double points on a curve is short of the maximum for curves of the same degree.
- (countable) An insufficiency, especially of something essential to health.
- the state of needing something that is absent or unavailable
- lack of an adequate quantity or number
noun
adj
- (linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.
- (complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).
- linear with respect to each of two variables or positions
adj
name
- Initialism of Phrozen Crew.
- Initialism of Penn Central.
- (Canada, politics) Initialism of Progressive Canadian Party.
- (US) Initialism of Presbyterian Church.
- (US, navy) Initialism of Coastal Patrol.
- (UK politics) Initialism of Plaid Cymru.
- Initialism of Proto-Celtic.
- (Philippines, law enforcement, historical) Initialism of Philippine Constabulary.
noun
- Initialism of professional corporation.
- Initialism of privy council.
- Initialism of press conference.
- (computing) Initialism of program counter.
- (law enforcement) Initialism of police constable, a police rank used in Commonwealth countries.
- (organic chemistry) Initialism of polycarbonate.
- Initialism of political correctness.
- Initialism of protective custody.
- Initialism of Probate Court.
- (gambling) Abbreviation of percentage.
- Initialism of personal computer.
- (US) Initialism of probable cause.
- (anatomy) Initialism of posterior commissure.
- Initialism of patrol cutter.
- (organic chemistry) Abbreviation of propylene carbonate.
- (South Korean idol fandom) Initialism of photocard.
- Initialism of patrol, coastal, a coastal patrol boat.
- Initialism of photocopy.
- Initialism of progressive contextualization.
- (gaming) Initialism of player character.
- (film) Initialism of Production Code.
- (Canadian politics, by extension) A member of the Conservative Party of Canada.
- (UK, law enforcement) Initialism of previous conviction.
- Initialism of parsec.
- (anatomy) Initialism of pubococcygeus muscle.
- Initialism of patrol craft.
- Initialism of public convenience.
- Initialism of private chat.
- (bingo) forty-nine (an allusion to a cartoon character, Police Constable 49)
- Initialism of privy councillor and postnominal.
- Initialism of personnel carrier.
- A personal computer, especially one similar to an IBM PC that runs Microsoft Windows (or, originally, DOS), usually as opposed to (say) an Apple Mac.
- (medicine) Initialism of presenting complaint.
- a small digital computer based on a microprocessor and designed to be used by one person at a time
verb
noun
- (mathematics) A function, especially a function satisfying a certain property (e.g. continuity, linearity, etc.; see Usage notes).
- (board games, video games) An imaginary or fictional area, often predefined and confined, where a game or a session thereof takes place.
- (entomology) Any of various nymphalid butterflies of the genera Araschnia (especially, Araschnia levana) and Cyrestis, having map-like markings on the wings.
- (computing) Synonym of associative array.
- A graphical or logical representation of any structure or system, showing the positions of or relationships between its components.
- A visual representation of an area, whether real or imaginary, showing the relative positions of places and other features.
- a diagrammatic representation of the earth's surface (or part of it)
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
verb
- (transitive, computing) To assign a drive letter to a shared folder.
- (transitive) To create a map of; to examine or survey in order to gather information for a map.
- (mathematics, transitive, followed by a "to" phrase) To act as a function on something, taking it to something else.
- (intransitive, followed by a "to" phrase) To have a direct relationship; to correspond.
- (transitive) To represent by means of a map.
- (transitive, followed by a "to" phrase) To create a direct relationship to; to create a correspondence with.
- depict as if on a map
- explore or survey for the purpose of making a map
- make a map of; show or establish the features of details of
- to establish a mapping (of mathematical elements or sets)
- plan, delineate, or arrange in detail
- locate within a specific region of a chromosome in relation to known DNA or gene sequences
adj
noun
adj
- (mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.
- for scriptstyle λ>0 under the assumption that scriptstyle f: ℝ→ ℝ is continuous, positive, monotone. For this reason such problems were named positone... If the nonlinearity scriptstyle f: ℝ→ ℝ is continuous, monotone and scriptstyle f(0)<0,...then the eigenvalue problem is called semipositone...
noun
- (mathematics) Initialism of nonlinear programming.
- (psychology) Initialism of neuro-linguistic psychotherapy.
- (computing) Initialism of natural language processing.
- (pseudoscience, psychology) Initialism of neuro-linguistic programming.
- the branch of information science that deals with natural language information
name
phrase
noun
- (uncountable, mathematics) A characteristic property of a continuous function.
- Lack of interruption or disconnection; the quality of being continuous in space or time.
- (countable, narratology) A canon; one specific fictional universe within a multiverse.
- (uncountable, radio, television) The announcements and messages inserted by the broadcaster between programmes.
- (uncountable, narratology) A narrative device in episodic fiction where previous and/or future events in a series of stories are accounted for in present stories.
- (uncountable, film) Consistency between multiple shots depicting the same scene but possibly filmed on different occasions.
- the property of a continuous and connected period of time
- uninterrupted connection or union
- a detailed script used in making a film in order to avoid discontinuities from shot to shot
name
- Initialism of Linear A.
- Initialism of Los Angeles: a city in California, United States.
- Abbreviation of Ladakh: a union territory of India.
- Abbreviation of Lampung: a province of Indonesia.
- Abbreviation of Louisiana: a state of the United States.
- (humorous) Abbreviation of Lower Arkansas, also in reference to the state of Louisiana.
- Initialism of Las Anod: a city in Somalia.
noun
adj
- (linear algebra) Being the space of all linear functionals of (some other space).
- (grammar) Pertaining to a grammatical number in certain languages that refers to two of something, such as a pair of shoes.
- Pertaining to two, pertaining to a pair of.
- (category theory) Being the dual of some other category; containing the same objects but with source and target reversed for all morphisms.
- (mathematics, physics) Exhibiting duality.
- Characterized by having two (usually equivalent) components.
- having more than one decidedly dissimilar aspects or qualities
- consisting of or involving two parts or components usually in pairs
- a grammatical number category referring to two items or units as opposed to one item (singular) or more than two items (plural)
noun
- (geometry) Of a regular polyhedron with V vertices and F faces, the regular polyhedron having F vertices and V faces.
- (wrestling) A head-to-head match or meet between two teams, such as two high schools or colleges.
- (grammar) The dual number.
- (mathematics) Of a vector in an inner product space, the linear functional corresponding to taking the inner product with that vector. The set of all duals is a vector space called the dual space.
- Of an item that is one of a pair, the other item in the pair.
verb
adj
- (linear algebra, by specialization, of a system of linear equations) Such that all the constant terms are zero.
- (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.
- (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.).
- (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
name
noun
- (American football) Initialism of linebacker.
- (military) Initialism of local board.
- (microbiology) Initialism of lysogeny broth; (loosely) any of several similar formulations: Luria broth, Lennox broth, life broth or Luria–Bertani medium.
- (soccer) Initialism of left back.
- (sports) Initialism of lower bracket.
- Alternative form of lb: Abbreviation of pound (“unit of weight”).
- (pathology) Initialism of Lewy body.
- Initialism of ladyboy.
adj
- (mathematics, of a function) having an infinite number of derivatives at a point (otherwise it is monogenic)
- (genetics) controlled by the interaction of more than one gene
- of or relating to an inheritable character that is controlled by several genes at once; of or related to or determined by polygenes
noun
- (mathematics) Abbreviation of linear programming.
- Initialism of liquid petroleum or liquified petroleum, a fuel used for cooking.
- Initialism of little person.
- Initialism of liquid propane.
- (aerospace) Initialism of landing pad.
- (programming) Initialism of literate programming.
- (Internet) Abbreviation of landing page.
- (military) Abbreviation of listening post.
- (online gaming, Internet) Initialism of let's play.
- (music, countable) Initialism of long-play.
- Initialism of lactase persistence.
- (medicine) Abbreviation of lumbar puncture.
- (finance) Abbreviation of liquidity provider.
- (business, law) Initialism of limited partnership.
- a long-playing phonograph record; designed to be played at 33.3 rpm
name
noun
- (mathematics) A sequential calculus
- (logic) A disjunctive set of logical formulae which is partitioned into two subsets; the first subset, called the antecedent, consists of formulae which are valuated as false, and the second subset, called the succedent, consists of formulae which are valuated as true. (The set is written without set brackets and the separation between the two subsets is denoted by a turnstile symbol, which may be read "give(s)".)
- Something that follows in a given sequence.
adj
noun
- The state of being linear.
- (mathematics) A relationship between several quantities which can be considered as proportional and expressed in terms of linear algebra, or any mathematical property of a relationship, operation or function that is analogous to such proportionality, satisfying additivity and homogeneity.
- the property of having one dimension
noun
- (geometry) The codimension of a linear system in the corresponding complete linear system.
- (uncountable) Inadequacy or incompleteness.
- (geometry) The amount by which the number of double points on a curve is short of the maximum for curves of the same degree.
- (countable) An insufficiency, especially of something essential to health.
- the state of needing something that is absent or unavailable
- lack of an adequate quantity or number
noun
adj
- (linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.
- (complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).
- linear with respect to each of two variables or positions
noun
- (mathematics) A function, especially a function satisfying a certain property (e.g. continuity, linearity, etc.; see Usage notes).
- (board games, video games) An imaginary or fictional area, often predefined and confined, where a game or a session thereof takes place.
- (entomology) Any of various nymphalid butterflies of the genera Araschnia (especially, Araschnia levana) and Cyrestis, having map-like markings on the wings.
- (computing) Synonym of associative array.
- A graphical or logical representation of any structure or system, showing the positions of or relationships between its components.
- A visual representation of an area, whether real or imaginary, showing the relative positions of places and other features.
- a diagrammatic representation of the earth's surface (or part of it)
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
verb
- (transitive, computing) To assign a drive letter to a shared folder.
- (transitive) To create a map of; to examine or survey in order to gather information for a map.
- (mathematics, transitive, followed by a "to" phrase) To act as a function on something, taking it to something else.
- (intransitive, followed by a "to" phrase) To have a direct relationship; to correspond.
- (transitive) To represent by means of a map.
- (transitive, followed by a "to" phrase) To create a direct relationship to; to create a correspondence with.
- depict as if on a map
- explore or survey for the purpose of making a map
- make a map of; show or establish the features of details of
- to establish a mapping (of mathematical elements or sets)
- plan, delineate, or arrange in detail
- locate within a specific region of a chromosome in relation to known DNA or gene sequences
noun
- (mathematics) Initialism of nonlinear programming.
- (psychology) Initialism of neuro-linguistic psychotherapy.
- (computing) Initialism of natural language processing.
- (pseudoscience, psychology) Initialism of neuro-linguistic programming.
- the branch of information science that deals with natural language information
name
phrase
noun
- (uncountable, mathematics) A characteristic property of a continuous function.
- Lack of interruption or disconnection; the quality of being continuous in space or time.
- (countable, narratology) A canon; one specific fictional universe within a multiverse.
- (uncountable, radio, television) The announcements and messages inserted by the broadcaster between programmes.
- (uncountable, narratology) A narrative device in episodic fiction where previous and/or future events in a series of stories are accounted for in present stories.
- (uncountable, film) Consistency between multiple shots depicting the same scene but possibly filmed on different occasions.
- the property of a continuous and connected period of time
- uninterrupted connection or union
- a detailed script used in making a film in order to avoid discontinuities from shot to shot
noun
- (mathematics) Abbreviation of linear programming.
- Initialism of liquid petroleum or liquified petroleum, a fuel used for cooking.
- Initialism of little person.
- Initialism of liquid propane.
- (aerospace) Initialism of landing pad.
- (programming) Initialism of literate programming.
- (Internet) Abbreviation of landing page.
- (military) Abbreviation of listening post.
- (online gaming, Internet) Initialism of let's play.
- (music, countable) Initialism of long-play.
- Initialism of lactase persistence.
- (medicine) Abbreviation of lumbar puncture.
- (finance) Abbreviation of liquidity provider.
- (business, law) Initialism of limited partnership.
- a long-playing phonograph record; designed to be played at 33.3 rpm
name
noun
- (mathematics) A sequential calculus
- (logic) A disjunctive set of logical formulae which is partitioned into two subsets; the first subset, called the antecedent, consists of formulae which are valuated as false, and the second subset, called the succedent, consists of formulae which are valuated as true. (The set is written without set brackets and the separation between the two subsets is denoted by a turnstile symbol, which may be read "give(s)".)
- Something that follows in a given sequence.
adj
adj
name
- Initialism of Phrozen Crew.
- Initialism of Penn Central.
- (Canada, politics) Initialism of Progressive Canadian Party.
- (US) Initialism of Presbyterian Church.
- (US, navy) Initialism of Coastal Patrol.
- (UK politics) Initialism of Plaid Cymru.
- Initialism of Proto-Celtic.
- (Philippines, law enforcement, historical) Initialism of Philippine Constabulary.
noun
- Initialism of professional corporation.
- Initialism of privy council.
- Initialism of press conference.
- (computing) Initialism of program counter.
- (law enforcement) Initialism of police constable, a police rank used in Commonwealth countries.
- (organic chemistry) Initialism of polycarbonate.
- Initialism of political correctness.
- Initialism of protective custody.
- Initialism of Probate Court.
- (gambling) Abbreviation of percentage.
- Initialism of personal computer.
- (US) Initialism of probable cause.
- (anatomy) Initialism of posterior commissure.
- Initialism of patrol cutter.
- (organic chemistry) Abbreviation of propylene carbonate.
- (South Korean idol fandom) Initialism of photocard.
- Initialism of patrol, coastal, a coastal patrol boat.
- Initialism of photocopy.
- Initialism of progressive contextualization.
- (gaming) Initialism of player character.
- (film) Initialism of Production Code.
- (Canadian politics, by extension) A member of the Conservative Party of Canada.
- (UK, law enforcement) Initialism of previous conviction.
- Initialism of parsec.
- (anatomy) Initialism of pubococcygeus muscle.
- Initialism of patrol craft.
- Initialism of public convenience.
- Initialism of private chat.
- (bingo) forty-nine (an allusion to a cartoon character, Police Constable 49)
- Initialism of privy councillor and postnominal.
- Initialism of personnel carrier.
- A personal computer, especially one similar to an IBM PC that runs Microsoft Windows (or, originally, DOS), usually as opposed to (say) an Apple Mac.
- (medicine) Initialism of presenting complaint.
- a small digital computer based on a microprocessor and designed to be used by one person at a time
verb
adj
noun
adj
- (mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.
- for scriptstyle λ>0 under the assumption that scriptstyle f: ℝ→ ℝ is continuous, positive, monotone. For this reason such problems were named positone... If the nonlinearity scriptstyle f: ℝ→ ℝ is continuous, monotone and scriptstyle f(0)<0,...then the eigenvalue problem is called semipositone...
adj
- (linear algebra) Being the space of all linear functionals of (some other space).
- (grammar) Pertaining to a grammatical number in certain languages that refers to two of something, such as a pair of shoes.
- Pertaining to two, pertaining to a pair of.
- (category theory) Being the dual of some other category; containing the same objects but with source and target reversed for all morphisms.
- (mathematics, physics) Exhibiting duality.
- Characterized by having two (usually equivalent) components.
- having more than one decidedly dissimilar aspects or qualities
- consisting of or involving two parts or components usually in pairs
- a grammatical number category referring to two items or units as opposed to one item (singular) or more than two items (plural)
noun
- (geometry) Of a regular polyhedron with V vertices and F faces, the regular polyhedron having F vertices and V faces.
- (wrestling) A head-to-head match or meet between two teams, such as two high schools or colleges.
- (grammar) The dual number.
- (mathematics) Of a vector in an inner product space, the linear functional corresponding to taking the inner product with that vector. The set of all duals is a vector space called the dual space.
- Of an item that is one of a pair, the other item in the pair.
verb
adj
- (linear algebra, by specialization, of a system of linear equations) Such that all the constant terms are zero.
- (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.
- (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.).
- (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
adj
- (mathematics, of a function) having an infinite number of derivatives at a point (otherwise it is monogenic)
- (genetics) controlled by the interaction of more than one gene
- of or relating to an inheritable character that is controlled by several genes at once; of or related to or determined by polygenes