Parole in English per 'A generalization of the zero vector to tensor space.'
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noun
- (physics) A spacetime having tensors of zero magnitude.
- (physics) A ground state of a quantum field or of local spacetime, or more abstractly the lowest-energy state of a system.
- A region of space that contains no matter.
- The condition of rarefaction, or reduction of pressure below that of the atmosphere, in a vessel, such as the condenser of a steam engine, which is nearly exhausted of air or steam, etc.
- An emptiness in life created by a loss of a person who was close, or of an occupation.
- (string theory) A description of spacetime resulting from a particular compactification of spatial dimensions.
- (colloquial, only pluralized as "vacuums") Ellipsis of vacuum cleaner.
- An exercise in which one draws their abdomen towards the spine.
- an empty area or space
- the absence of matter
- a region that is devoid of matter
- an electrical home appliance that cleans by suction
verb
noun
adj
- 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.
- Of a linear transformation: preserving its angles.
- (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
noun
noun
- (mathematics) Any member of a (generalized) vector space.
- (computer graphics, attributive) A graphical representation using outlines; vector graphics.
- (history) Forces, developments, phenomena, processes, systems, etc. which influence the trajectory of history (e.g. imperialism)
- (aviation) A chosen course or direction for motion, as of an aircraft.
- (programming) A kind of dynamically resizable array.
- (psychology) A recurring psychosocial issue that stimulates growth and development in the personality.
- (sociology) A person or entity that passes along an urban legend or other meme.
- (mathematics, computing) An ordered tuple, originally one representing a directed quantity, but by extension any one-dimensional matrix.
- (mathematics, physics) A directed quantity, one with both magnitude and direction; the signed difference between two points.
- (molecular biology) A DNA molecule used to carry genetic information from one organism into another.
- (computing, operating systems) A memory address containing the address of a code entry point, usually one which is part of a table and often one that is dereferenced and jumped to during the execution of an interrupt.
- a straight line segment whose length is magnitude and whose orientation in space is direction
- (genetics) a virus or other agent that is used to deliver DNA to a cell
- any agent (person or animal or microorganism) that carries and transmits a disease
- a variable quantity that can be resolved into components
verb
noun
- a generalization of the concept of a vector
- any of several muscles that cause an attached structure to become tense or firm
- (engineering, computing) A multidimensional array with (at least) two dimensions.
- (anatomy) A muscle that tightens or stretches a part, or renders it tense.
- (mathematics, linear algebra, physics) A mathematical object that describes linear relations on scalars, vectors, matrices and other algebraic objects, and is represented as a multidimensional array.
verb
noun
- (mathematics) A metric tensor.
- Abbreviation of metric system.
- A measure for something; a means of deriving a quantitative measurement or approximation for otherwise qualitative phenomena (especially used in engineering).
- (mathematical analysis) A function which satisfies a particular set of formal conditions, created to generalize the notion of the distance between two points. Formally, a real-valued function d on M×M, where M is a set, is called a metric if (1) d(x,y)=0 if and only if x=y, (2) d(x,y)=d(y,x) for all pairs (x,y), and (3) d obeys the triangle inequality.
- a system of related measures that facilitates the quantification of some particular characteristic
- a function of a topological space that gives, for any two points in the space, a value equal to the distance between them
- a decimal unit of measurement of the metric system (based on meters and kilograms and seconds)
adj
verb
noun
- (mathematics, functional analysis) A scalar-valued linear function on a vector space.
- (mathematics) A function that takes a function as its argument; more precisely, a function whose argument varies in a space of (real or complex valued) functions and whose value belongs to a monodimensional space.
- (computing) An object encapsulating a function pointer (or equivalent).
adj
- Optimized for all-around physiological benefit.
- Useful; serving a purpose, fulfilling a function.
- (computing theory) Having semantics defined purely in terms of mathematical functions, without side-effects.
- (mathematics) Of or relating to a function or functions.
- Of or relating to one's role or office; official.
- Only for functional purposes, notably in architecture.
- In good working order.
- (physiology, psychology) Characterizing functioning in environment, being symptoms that do not presuppose alteration of organic structure.
- designed for or adapted to a function or use
- involving or affecting function rather than physiology
- (of e.g. a machine) performing or capable of performing
- relating to or based on function especially as opposed to structure
- designed for or capable of a particular function or use
- fit or ready for use or service
noun
- (mathematics) The dimensionality of an array (computing) or tensor.
- (taxonomy) A level in a scientific taxonomy system.
- (chess) One of the eight horizontal lines of squares on a chessboard (i.e., those identified by a number).
- A hierarchical level in an organization such as the military.
- (algebra) The maximum quantity of D-linearly independent elements of a module (over an integral domain D).
- (card games) The value of a playing card.
- (typically in the plural) A category of people, such as those who share an occupation or belong to an organisation.
- (mathematics) The size of any basis of a given matroid.
- One's position in a list sorted by a shared property such as physical location, population, popularity, or quality.
- (music) In a pipe organ, a set of pipes of a certain quality for which each pipe corresponds to one key or pedal.
- (linear algebra) The maximal number of linearly independent columns (or rows) of a matrix.
- A row of people or things organized in a grid pattern, often soldiers.
- The level of one's position in a class-based society.
- the body of members of an organization or group
- relative status
- a row or line of people (especially soldiers or police) standing abreast of one another
- the ordinary members of an organization (such as the enlisted soldiers of an army)
- position in a social hierarchy
adj
- Having a very strong, bad taste or odor.
- (intensifier, negative) complete, unmitigated, utter.
- complete and without restriction or qualification; sometimes used informally as intensifiers
- very offensive in smell or taste
- growing profusely
- conspicuously and outrageously bad or reprehensible
- very fertile; producing profuse growth
verb
- (transitive, US) To take the rank of; to outrank.
- (intransitive) To have a ranking.
- (transitive) To assign a suitable place in a class or order; to classify.
- (transitive) To place abreast or in a line.
- take or have a position relative to others
- assign a rank or rating to
- take precedence or surpass others in rank
noun
- (linear algebra) In a vector space, a linearly independent set of vectors spanning the whole vector space.
- A physical base or foundation.
- A starting point, base or foundation for an argument or hypothesis.
- (topology) A collection of subsets ("basis elements") of a set, such that this collection covers the set, and for any two basis elements which both contain an element of the set, there is a third basis element contained in the intersection of the first two, which also contains that element.
- An underlying condition or circumstance.
- (accounting) Amount paid for an investment, including commissions and other expenses.
- A regular frequency.
- (agriculture, trading) The difference between the cash price a dealer pays to a farmer for his produce and an agreed reference price, which is usually the futures price at which the given crop is trading at a commodity exchange.
- the fundamental assumptions from which something is begun or developed or calculated or explained
- a relation that provides the foundation for something
- the most important or necessary part of something
noun
- (geometry) The invariant (on the vector space of forms of degree d in n variables) that vanishes exactly when the corresponding hypersurface in Pⁿ⁻¹ is singular.
- (algebra) An expression that gives information about the roots of a polynomial; for example, the expression D = b² - 4ac determines whether the roots of the quadratic equation ax² + bx + c = 0 are real and distinct (D > 0), real and equal (D = 0) or complex (D < 0).
adj
noun
- the analysis of a vector field
- in a decomposed state
- (biology) the process of decay caused by bacterial or fungal action
- (chemistry) separation of a substance into two or more substances that may differ from each other and from the original substance
- the organic phenomenon of rotting
- The act of taking something apart, e.g. for analysis.
- The splitting (of e.g. a matrix, an atom, or a compound) into constituent parts.
- A biological process through which organic material is reduced to e.g. compost.
noun
verb
- (transitive, genetics) To generate a chain of amino acids based on the sequence of codons in an mRNA molecule.
- (transitive) To express spoken words or written text in a different (often clearer or simpler) way in the same language; to paraphrase, to rephrase, to restate.
- (intransitive) To provide a translation of spoken words or written text in another language; to be, or be capable of being, rendered in another language.
- (transitive) To change spoken words or written text (of a book, document, movie, etc.) from one language to another.
- (transitive) To change (something) from one form or medium to another.
- (intransitive) To change, or be capable of being changed, from one form or medium to another.
- Senses relating to a change of position.
- (transitive, music) To rearrange (a song or music) in one genre into another.
- change from one form or medium into another
- bring to a certain spiritual state
- change the position of (figures or bodies) in space without rotation
- make sense of a language
- determine the amino-acid sequence of a protein during its synthesis by using information on the messenger RNA
- subject to movement in which every part of the body moves parallel to and the same distance as every other point on the body
- express, as in simple and less technical language
- be equivalent in effect
- be translatable, or be translatable in a certain way
- restate (words) from one language into another language
noun
- (mathematics) The dimension of the kernel of a linear transformation; the dimension of the nullspace of a matrix.
- (law) A void act; a defective proceeding or one expressly declared by statute to be a nullity.
- The state of being null, or void, or invalid.
- the state of nonexistence
- something that is null (especially an enactment that has no legal validity)
noun
- (physics) A spacetime having tensors of zero magnitude.
- (physics) A ground state of a quantum field or of local spacetime, or more abstractly the lowest-energy state of a system.
- A region of space that contains no matter.
- The condition of rarefaction, or reduction of pressure below that of the atmosphere, in a vessel, such as the condenser of a steam engine, which is nearly exhausted of air or steam, etc.
- An emptiness in life created by a loss of a person who was close, or of an occupation.
- (string theory) A description of spacetime resulting from a particular compactification of spatial dimensions.
- (colloquial, only pluralized as "vacuums") Ellipsis of vacuum cleaner.
- An exercise in which one draws their abdomen towards the spine.
- an empty area or space
- the absence of matter
- a region that is devoid of matter
- an electrical home appliance that cleans by suction
verb
noun
noun
- (mathematics) Any member of a (generalized) vector space.
- (computer graphics, attributive) A graphical representation using outlines; vector graphics.
- (history) Forces, developments, phenomena, processes, systems, etc. which influence the trajectory of history (e.g. imperialism)
- (aviation) A chosen course or direction for motion, as of an aircraft.
- (programming) A kind of dynamically resizable array.
- (psychology) A recurring psychosocial issue that stimulates growth and development in the personality.
- (sociology) A person or entity that passes along an urban legend or other meme.
- (mathematics, computing) An ordered tuple, originally one representing a directed quantity, but by extension any one-dimensional matrix.
- (mathematics, physics) A directed quantity, one with both magnitude and direction; the signed difference between two points.
- (molecular biology) A DNA molecule used to carry genetic information from one organism into another.
- (computing, operating systems) A memory address containing the address of a code entry point, usually one which is part of a table and often one that is dereferenced and jumped to during the execution of an interrupt.
- a straight line segment whose length is magnitude and whose orientation in space is direction
- (genetics) a virus or other agent that is used to deliver DNA to a cell
- any agent (person or animal or microorganism) that carries and transmits a disease
- a variable quantity that can be resolved into components
verb
noun
- a generalization of the concept of a vector
- any of several muscles that cause an attached structure to become tense or firm
- (engineering, computing) A multidimensional array with (at least) two dimensions.
- (anatomy) A muscle that tightens or stretches a part, or renders it tense.
- (mathematics, linear algebra, physics) A mathematical object that describes linear relations on scalars, vectors, matrices and other algebraic objects, and is represented as a multidimensional array.
verb
noun
- (mathematics) A metric tensor.
- Abbreviation of metric system.
- A measure for something; a means of deriving a quantitative measurement or approximation for otherwise qualitative phenomena (especially used in engineering).
- (mathematical analysis) A function which satisfies a particular set of formal conditions, created to generalize the notion of the distance between two points. Formally, a real-valued function d on M×M, where M is a set, is called a metric if (1) d(x,y)=0 if and only if x=y, (2) d(x,y)=d(y,x) for all pairs (x,y), and (3) d obeys the triangle inequality.
- a system of related measures that facilitates the quantification of some particular characteristic
- a function of a topological space that gives, for any two points in the space, a value equal to the distance between them
- a decimal unit of measurement of the metric system (based on meters and kilograms and seconds)
adj
verb
noun
- (mathematics, functional analysis) A scalar-valued linear function on a vector space.
- (mathematics) A function that takes a function as its argument; more precisely, a function whose argument varies in a space of (real or complex valued) functions and whose value belongs to a monodimensional space.
- (computing) An object encapsulating a function pointer (or equivalent).
adj
- Optimized for all-around physiological benefit.
- Useful; serving a purpose, fulfilling a function.
- (computing theory) Having semantics defined purely in terms of mathematical functions, without side-effects.
- (mathematics) Of or relating to a function or functions.
- Of or relating to one's role or office; official.
- Only for functional purposes, notably in architecture.
- In good working order.
- (physiology, psychology) Characterizing functioning in environment, being symptoms that do not presuppose alteration of organic structure.
- designed for or adapted to a function or use
- involving or affecting function rather than physiology
- (of e.g. a machine) performing or capable of performing
- relating to or based on function especially as opposed to structure
- designed for or capable of a particular function or use
- fit or ready for use or service
noun
- (mathematics) The dimensionality of an array (computing) or tensor.
- (taxonomy) A level in a scientific taxonomy system.
- (chess) One of the eight horizontal lines of squares on a chessboard (i.e., those identified by a number).
- A hierarchical level in an organization such as the military.
- (algebra) The maximum quantity of D-linearly independent elements of a module (over an integral domain D).
- (card games) The value of a playing card.
- (typically in the plural) A category of people, such as those who share an occupation or belong to an organisation.
- (mathematics) The size of any basis of a given matroid.
- One's position in a list sorted by a shared property such as physical location, population, popularity, or quality.
- (music) In a pipe organ, a set of pipes of a certain quality for which each pipe corresponds to one key or pedal.
- (linear algebra) The maximal number of linearly independent columns (or rows) of a matrix.
- A row of people or things organized in a grid pattern, often soldiers.
- The level of one's position in a class-based society.
- the body of members of an organization or group
- relative status
- a row or line of people (especially soldiers or police) standing abreast of one another
- the ordinary members of an organization (such as the enlisted soldiers of an army)
- position in a social hierarchy
adj
- Having a very strong, bad taste or odor.
- (intensifier, negative) complete, unmitigated, utter.
- complete and without restriction or qualification; sometimes used informally as intensifiers
- very offensive in smell or taste
- growing profusely
- conspicuously and outrageously bad or reprehensible
- very fertile; producing profuse growth
verb
- (transitive, US) To take the rank of; to outrank.
- (intransitive) To have a ranking.
- (transitive) To assign a suitable place in a class or order; to classify.
- (transitive) To place abreast or in a line.
- take or have a position relative to others
- assign a rank or rating to
- take precedence or surpass others in rank
noun
- (linear algebra) In a vector space, a linearly independent set of vectors spanning the whole vector space.
- A physical base or foundation.
- A starting point, base or foundation for an argument or hypothesis.
- (topology) A collection of subsets ("basis elements") of a set, such that this collection covers the set, and for any two basis elements which both contain an element of the set, there is a third basis element contained in the intersection of the first two, which also contains that element.
- An underlying condition or circumstance.
- (accounting) Amount paid for an investment, including commissions and other expenses.
- A regular frequency.
- (agriculture, trading) The difference between the cash price a dealer pays to a farmer for his produce and an agreed reference price, which is usually the futures price at which the given crop is trading at a commodity exchange.
- the fundamental assumptions from which something is begun or developed or calculated or explained
- a relation that provides the foundation for something
- the most important or necessary part of something
noun
- (geometry) The invariant (on the vector space of forms of degree d in n variables) that vanishes exactly when the corresponding hypersurface in Pⁿ⁻¹ is singular.
- (algebra) An expression that gives information about the roots of a polynomial; for example, the expression D = b² - 4ac determines whether the roots of the quadratic equation ax² + bx + c = 0 are real and distinct (D > 0), real and equal (D = 0) or complex (D < 0).
adj
noun
- the analysis of a vector field
- in a decomposed state
- (biology) the process of decay caused by bacterial or fungal action
- (chemistry) separation of a substance into two or more substances that may differ from each other and from the original substance
- the organic phenomenon of rotting
- The act of taking something apart, e.g. for analysis.
- The splitting (of e.g. a matrix, an atom, or a compound) into constituent parts.
- A biological process through which organic material is reduced to e.g. compost.
noun
verb
- (transitive, genetics) To generate a chain of amino acids based on the sequence of codons in an mRNA molecule.
- (transitive) To express spoken words or written text in a different (often clearer or simpler) way in the same language; to paraphrase, to rephrase, to restate.
- (intransitive) To provide a translation of spoken words or written text in another language; to be, or be capable of being, rendered in another language.
- (transitive) To change spoken words or written text (of a book, document, movie, etc.) from one language to another.
- (transitive) To change (something) from one form or medium to another.
- (intransitive) To change, or be capable of being changed, from one form or medium to another.
- Senses relating to a change of position.
- (transitive, music) To rearrange (a song or music) in one genre into another.
- change from one form or medium into another
- bring to a certain spiritual state
- change the position of (figures or bodies) in space without rotation
- make sense of a language
- determine the amino-acid sequence of a protein during its synthesis by using information on the messenger RNA
- subject to movement in which every part of the body moves parallel to and the same distance as every other point on the body
- express, as in simple and less technical language
- be equivalent in effect
- be translatable, or be translatable in a certain way
- restate (words) from one language into another language
noun
- (mathematics) The dimension of the kernel of a linear transformation; the dimension of the nullspace of a matrix.
- (law) A void act; a defective proceeding or one expressly declared by statute to be a nullity.
- The state of being null, or void, or invalid.
- the state of nonexistence
- something that is null (especially an enactment that has no legal validity)
noun
- a generalization of the concept of a vector
- any of several muscles that cause an attached structure to become tense or firm
- (engineering, computing) A multidimensional array with (at least) two dimensions.
- (anatomy) A muscle that tightens or stretches a part, or renders it tense.
- (mathematics, linear algebra, physics) A mathematical object that describes linear relations on scalars, vectors, matrices and other algebraic objects, and is represented as a multidimensional array.
verb
adj
- 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.
- Of a linear transformation: preserving its angles.
- (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