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noun
- (mathematics) A matrix.
- A group of hedgehogs.
- Order; a regular and imposing arrangement; disposition in regular lines; hence, order of battle.
- Clothing and ornamentation; raiment.
- A large collection.
- A microarray.
- (military) A militia.
- (programming) Any of various data structures designed to hold multiple elements of the same type; especially, a data structure that holds these elements in adjacent memory locations so that they may be retrieved using numeric indices.
- An orderly series, arrangement or sequence.
- (law) A ranking or setting forth in order, by the proper officer, of a jury as impanelled in a cause; the panel itself; or the whole body of jurors summoned to attend the court.
- A collection laid out to be viewed in full.
- an arrangement of aerials spaced to give desired directional characteristics
- an orderly arrangement
- especially fine or decorative clothing
- an impressive display
verb
- To clothe and ornament; to adorn or attire.
- To lay out in an orderly arrangement; to deploy or marshal.
- (law) To set in order, as a jury, for the trial of a cause; that is, to call them one at a time.
- lay out orderly or logically in a line or as if in a line
- align oneself with a group or a way of thinking
noun
- (mathematics, linear algebra) Matrix similarity by an orthogonal matrix.
- (universal algebra) Any equivalence relation defined on an algebraic structure which is preserved by operations defined by the structure.
- (mathematics, geometry) The quality of being isometric — roughly, the same measure and shape.
- (psychology) A well-adjusted state or condition in which people are not lying to themselves or in denial.
- (mathematics, number theory) A relation between two numbers indicating they give the same remainder when divided by some given number.
- The quality of agreeing or corresponding; being suitable and appropriate.
- the quality of agreeing; being suitable and appropriate
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
- (mathematics) One of the entries of a matrix.
- One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.
- A factor, one of the conditions contributing to a result.
- (chemistry) A chemical substance made entirely of one such type of atom; any one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.
- (usually in the plural) A basic, simple substance out of which something is made, raw material.
- A place or state of being that a person or object is best suited to.
- (chemistry) Any one of the types of atom distinguished by having a certain number of protons in its nucleus.
- (set theory) One of the objects in a set.
- (in the plural only, with "the") Atmospheric forces such as strong winds and rains.
- A group of people within a larger group having a particular common characteristic.
- A small but present amount of a quality, a hint.
- (law) A required aspect or component of a cause of action. A deed is regarded as a violation of law only if each element can be proved.
- A component in electrical equipment, often in the form of a coil, having a high resistance, thereby generating heat when a current is passed through it.
- (astronomy) An orbital element; one of the parameters needed to uniquely specify a particular orbit.
- (computing) One of the conceptual objects in a markup language, usually represented in text by tags.
- One of the four basic building blocks of matter in theories of ancient philosophers and alchemists: water, earth, fire, and air.
- (Christianity, usually in the plural) The bread and wine taken at Holy Communion.
- Any of the teeth of a zip fastener.
- A small part of the whole.
- (in the plural only) The basic principles of a field of knowledge, basics, fundamentals, rudiments.
- (mathematics) An infinitesimal interval of a quantity, a differential.
- an abstract part of something
- one of four substances thought in ancient and medieval cosmology to constitute the physical universe
- a straight line that generates a cylinder or cone
- any of the more than 100 known substances (of which 92 occur naturally) that cannot be separated into simpler substances and that singly or in combination constitute all matter
- the situation in which you are happiest and most effective
- the most favorable environment for a plant or animal
- an artifact that is one of the individual parts of which a composite entity is made up; especially a part that can be separated from or attached to a system
adj
- (mathematics, of a square matrix) Which performs a row or column operation on another matrix when the two are multiplied; see Elementary matrix on Wikipedia.Wikipedia (Such matrices are called "elementary" because they generate the general linear group).
- (sciences) Fundamental: serving as a building block for more complicated structures or processes.
- (mathematics, of an argument or proof) Straightforward, employing only basic techniques; not requiring substantial knowledge (of some particular domain, object, etc.).
- (mathematics, of a symmetric polynomial) Arising from Vieta's formulas; see Elementary symmetric polynomial on Wikipedia.Wikipedia
- Relating to the basic, essential or fundamental part of something.
- (chemistry, of a reaction) Involving only a single reaction step and transition state.
- Relating to an elementary school.
- (number theory, of an argument or proof, mostly historical outside the phrase "Elementary number theory") Making no use of complex analysis.
- (physics) Relating to a subatomic particle.
- Very simple.
- of or pertaining to or characteristic of elementary school or elementary education
- of or being the essential or basic part
- easy and not involved or complicated
noun
noun
- a matrix formed by interchanging the rows and columns of a given matrix
- (linear algebra) The matrix derived from performing a transpose operation on a given matrix.
- (graph theory) A graph whose every edge has had its direction reversed.
- (linear algebra) The process of rearranging elements in a matrix, by interchanging their respective row and column positional indicators.
adj
verb
- (transitive, linear algebra) To rearrange elements in a matrix, by interchanging their respective row and column positional indicators.
- put (a piece of music) into another key
- cause to change places
- change the order or arrangement of
- transfer a quantity from one side of an equation to the other side reversing its sign, in order to maintain equality
- transfer from one place or period to another
- change key
- exchange positions without a change in value
- (transitive, algebra) To move (a term) from one side of an algebraic equation to the other, reversing the sign of the term.
- (transitive, graph theory) To reverse the direction of every edge of (a graph).
- (transitive, law, chiefly of the European Union) To give force to a directive by passing appropriate implementation measures.
- (intransitive, chess) To reach a position that may also be obtained from a different move order.
- (transitive, music) To rewrite or perform (a piece) in another key.
- (transitive) To reverse or change the order of (two or more things); to swap or interchange.
adj
- (mathematics, linear algebra) Of two square matrices; being such that a conjugation sends one matrix to the other.
- (mathematics) Having the same shape, in particular, having corresponding angles equal and corresponding line segments proportional.
- Having traits or characteristics in common; alike, allied, comparable.
- capable of replacing or changing places with something else; permitting mutual substitution without loss of function or suitability
- marked by correspondence or resemblance
- (of words) expressing closely related meanings
- having the same or similar characteristics
- resembling or similar; having the same or some of the same characteristics; often used in combination
noun
noun
- (multivariable calculus) The Jacobian matrix of a function of several variables.
- (calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.
- Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Gateaux differential, etc.
- One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
- The differential gear in an automobile, etc.
- A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
- (differential geometry, of a smooth map ϕ between smooth manifolds) The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ.
- (mathematics) Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc.
- (calculus) A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x.
- A qualitative or quantitative difference between similar or comparable things.
- a quality that differentiates between similar things
- a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves
- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
adj
noun
adj
- (mathematics, linear algebra, mathematical analysis, of a matrix or operator) Whose inverse is equal to its adjoint.
- Having the quality of oneness.
- (mathematics, of an algebra) That contains an identity element.
- (government, of a system of government or administration) That concentrates power in a single body, rather than sharing it with more local bodies.
- characterized by or constituting a form of government in which power is held by one central authority
- of or pertaining to or involving the use of units
- relating to or characterized by or aiming toward unity
- having the indivisible character of a unit
adj
- Of a square matrix: such that its transpose is equal to its inverse.
- Of a pair of vectors: having a zero inner product; perpendicular.
- (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
- a generalization of the concept of a vector
- (engineering, computing) A multidimensional array with (at least) two dimensions.
- any of several muscles that cause an attached structure to become tense or firm
- (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
- (computing) A two-dimensional array.
- (archaeology, paleontology) The sediment surrounding and including the artifacts, features, and other materials at a site.
- The cavity or mold in which anything is formed.
- (biology) Part of the mitochondrion.
- (analytical chemistry) The environment from which a given sample is taken.
- The metaphorical place where something is made, formed, or given birth.
- (electronics) A grid-like arrangement of electronic components, especially one intended for information coding, decoding or storage.
- (slang, figurative, science fiction) Alternative letter-case form of Matrix; a controlled environment or situation in which people behave in ways that conform to pre-determined roles.
- A table of data.
- (linguistics) Matrix clause is a clause that has another (subordinate) clause embedded within it.
- (dyeing) The five simple colours (black, white, blue, red, and yellow) from which all the others are formed.
- (material science) A binding agent of composite materials, e.g. resin in fibreglass.
- (mathematics) A rectangular arrangement of numbers or terms having various uses such as transforming coordinates in geometry, solving systems of linear equations in linear algebra and representing graphs in graph theory.
- (geology) A geological matrix.
- (biology) An extracellular matrix, the material or tissue between the cells of animals or plants.
- (biology) The material or tissue in which more specialized structures are embedded.
- (biology) The medium in which bacteria are cultured.
- (printing, historical) In printmaking, the plate or block used, with ink, to hold the image that makes up the print.
- (printing, historical) In hot metal typesetting, a mold for casting a letter.
- the body substance in which tissue cells are embedded
- the formative tissue at the base of a nail
- an enclosure within which something originates or develops
- (mathematics) a rectangular array of quantities or expressions set out by rows and columns; treated as a single element and manipulated according to rules
- (geology) a mass of fine-grained rock in which fossils, crystals, or gems are embedded
- mold used in the production of phonograph records, type, or other relief surface
noun
- (mathematics) A matrix.
- A group of hedgehogs.
- Order; a regular and imposing arrangement; disposition in regular lines; hence, order of battle.
- Clothing and ornamentation; raiment.
- A large collection.
- A microarray.
- (military) A militia.
- (programming) Any of various data structures designed to hold multiple elements of the same type; especially, a data structure that holds these elements in adjacent memory locations so that they may be retrieved using numeric indices.
- An orderly series, arrangement or sequence.
- (law) A ranking or setting forth in order, by the proper officer, of a jury as impanelled in a cause; the panel itself; or the whole body of jurors summoned to attend the court.
- A collection laid out to be viewed in full.
- an arrangement of aerials spaced to give desired directional characteristics
- an orderly arrangement
- especially fine or decorative clothing
- an impressive display
verb
- To clothe and ornament; to adorn or attire.
- To lay out in an orderly arrangement; to deploy or marshal.
- (law) To set in order, as a jury, for the trial of a cause; that is, to call them one at a time.
- lay out orderly or logically in a line or as if in a line
- align oneself with a group or a way of thinking
noun
- (mathematics, linear algebra) Matrix similarity by an orthogonal matrix.
- (universal algebra) Any equivalence relation defined on an algebraic structure which is preserved by operations defined by the structure.
- (mathematics, geometry) The quality of being isometric — roughly, the same measure and shape.
- (psychology) A well-adjusted state or condition in which people are not lying to themselves or in denial.
- (mathematics, number theory) A relation between two numbers indicating they give the same remainder when divided by some given number.
- The quality of agreeing or corresponding; being suitable and appropriate.
- the quality of agreeing; being suitable and appropriate
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
- (mathematics) One of the entries of a matrix.
- One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.
- A factor, one of the conditions contributing to a result.
- (chemistry) A chemical substance made entirely of one such type of atom; any one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.
- (usually in the plural) A basic, simple substance out of which something is made, raw material.
- A place or state of being that a person or object is best suited to.
- (chemistry) Any one of the types of atom distinguished by having a certain number of protons in its nucleus.
- (set theory) One of the objects in a set.
- (in the plural only, with "the") Atmospheric forces such as strong winds and rains.
- A group of people within a larger group having a particular common characteristic.
- A small but present amount of a quality, a hint.
- (law) A required aspect or component of a cause of action. A deed is regarded as a violation of law only if each element can be proved.
- A component in electrical equipment, often in the form of a coil, having a high resistance, thereby generating heat when a current is passed through it.
- (astronomy) An orbital element; one of the parameters needed to uniquely specify a particular orbit.
- (computing) One of the conceptual objects in a markup language, usually represented in text by tags.
- One of the four basic building blocks of matter in theories of ancient philosophers and alchemists: water, earth, fire, and air.
- (Christianity, usually in the plural) The bread and wine taken at Holy Communion.
- Any of the teeth of a zip fastener.
- A small part of the whole.
- (in the plural only) The basic principles of a field of knowledge, basics, fundamentals, rudiments.
- (mathematics) An infinitesimal interval of a quantity, a differential.
- an abstract part of something
- one of four substances thought in ancient and medieval cosmology to constitute the physical universe
- a straight line that generates a cylinder or cone
- any of the more than 100 known substances (of which 92 occur naturally) that cannot be separated into simpler substances and that singly or in combination constitute all matter
- the situation in which you are happiest and most effective
- the most favorable environment for a plant or animal
- an artifact that is one of the individual parts of which a composite entity is made up; especially a part that can be separated from or attached to a system
noun
- a matrix formed by interchanging the rows and columns of a given matrix
- (linear algebra) The matrix derived from performing a transpose operation on a given matrix.
- (graph theory) A graph whose every edge has had its direction reversed.
- (linear algebra) The process of rearranging elements in a matrix, by interchanging their respective row and column positional indicators.
adj
verb
- (transitive, linear algebra) To rearrange elements in a matrix, by interchanging their respective row and column positional indicators.
- put (a piece of music) into another key
- cause to change places
- change the order or arrangement of
- transfer a quantity from one side of an equation to the other side reversing its sign, in order to maintain equality
- transfer from one place or period to another
- change key
- exchange positions without a change in value
- (transitive, algebra) To move (a term) from one side of an algebraic equation to the other, reversing the sign of the term.
- (transitive, graph theory) To reverse the direction of every edge of (a graph).
- (transitive, law, chiefly of the European Union) To give force to a directive by passing appropriate implementation measures.
- (intransitive, chess) To reach a position that may also be obtained from a different move order.
- (transitive, music) To rewrite or perform (a piece) in another key.
- (transitive) To reverse or change the order of (two or more things); to swap or interchange.
noun
- (multivariable calculus) The Jacobian matrix of a function of several variables.
- (calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.
- Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Gateaux differential, etc.
- One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
- The differential gear in an automobile, etc.
- A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
- (differential geometry, of a smooth map ϕ between smooth manifolds) The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ.
- (mathematics) Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc.
- (calculus) A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x.
- A qualitative or quantitative difference between similar or comparable things.
- a quality that differentiates between similar things
- a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves
- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
adj
noun
adj
- (mathematics, linear algebra, mathematical analysis, of a matrix or operator) Whose inverse is equal to its adjoint.
- Having the quality of oneness.
- (mathematics, of an algebra) That contains an identity element.
- (government, of a system of government or administration) That concentrates power in a single body, rather than sharing it with more local bodies.
- characterized by or constituting a form of government in which power is held by one central authority
- of or pertaining to or involving the use of units
- relating to or characterized by or aiming toward unity
- having the indivisible character of a unit
noun
- a generalization of the concept of a vector
- (engineering, computing) A multidimensional array with (at least) two dimensions.
- any of several muscles that cause an attached structure to become tense or firm
- (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
- (computing) A two-dimensional array.
- (archaeology, paleontology) The sediment surrounding and including the artifacts, features, and other materials at a site.
- The cavity or mold in which anything is formed.
- (biology) Part of the mitochondrion.
- (analytical chemistry) The environment from which a given sample is taken.
- The metaphorical place where something is made, formed, or given birth.
- (electronics) A grid-like arrangement of electronic components, especially one intended for information coding, decoding or storage.
- (slang, figurative, science fiction) Alternative letter-case form of Matrix; a controlled environment or situation in which people behave in ways that conform to pre-determined roles.
- A table of data.
- (linguistics) Matrix clause is a clause that has another (subordinate) clause embedded within it.
- (dyeing) The five simple colours (black, white, blue, red, and yellow) from which all the others are formed.
- (material science) A binding agent of composite materials, e.g. resin in fibreglass.
- (mathematics) A rectangular arrangement of numbers or terms having various uses such as transforming coordinates in geometry, solving systems of linear equations in linear algebra and representing graphs in graph theory.
- (geology) A geological matrix.
- (biology) An extracellular matrix, the material or tissue between the cells of animals or plants.
- (biology) The material or tissue in which more specialized structures are embedded.
- (biology) The medium in which bacteria are cultured.
- (printing, historical) In printmaking, the plate or block used, with ink, to hold the image that makes up the print.
- (printing, historical) In hot metal typesetting, a mold for casting a letter.
- the body substance in which tissue cells are embedded
- the formative tissue at the base of a nail
- an enclosure within which something originates or develops
- (mathematics) a rectangular array of quantities or expressions set out by rows and columns; treated as a single element and manipulated according to rules
- (geology) a mass of fine-grained rock in which fossils, crystals, or gems are embedded
- mold used in the production of phonograph records, type, or other relief surface
noun
- a matrix formed by interchanging the rows and columns of a given matrix
- (linear algebra) The matrix derived from performing a transpose operation on a given matrix.
- (graph theory) A graph whose every edge has had its direction reversed.
- (linear algebra) The process of rearranging elements in a matrix, by interchanging their respective row and column positional indicators.
adj
verb
- (transitive, linear algebra) To rearrange elements in a matrix, by interchanging their respective row and column positional indicators.
- put (a piece of music) into another key
- cause to change places
- change the order or arrangement of
- transfer a quantity from one side of an equation to the other side reversing its sign, in order to maintain equality
- transfer from one place or period to another
- change key
- exchange positions without a change in value
- (transitive, algebra) To move (a term) from one side of an algebraic equation to the other, reversing the sign of the term.
- (transitive, graph theory) To reverse the direction of every edge of (a graph).
- (transitive, law, chiefly of the European Union) To give force to a directive by passing appropriate implementation measures.
- (intransitive, chess) To reach a position that may also be obtained from a different move order.
- (transitive, music) To rewrite or perform (a piece) in another key.
- (transitive) To reverse or change the order of (two or more things); to swap or interchange.
adj
- (mathematics, of a square matrix) Which performs a row or column operation on another matrix when the two are multiplied; see Elementary matrix on Wikipedia.Wikipedia (Such matrices are called "elementary" because they generate the general linear group).
- (sciences) Fundamental: serving as a building block for more complicated structures or processes.
- (mathematics, of an argument or proof) Straightforward, employing only basic techniques; not requiring substantial knowledge (of some particular domain, object, etc.).
- (mathematics, of a symmetric polynomial) Arising from Vieta's formulas; see Elementary symmetric polynomial on Wikipedia.Wikipedia
- Relating to the basic, essential or fundamental part of something.
- (chemistry, of a reaction) Involving only a single reaction step and transition state.
- Relating to an elementary school.
- (number theory, of an argument or proof, mostly historical outside the phrase "Elementary number theory") Making no use of complex analysis.
- (physics) Relating to a subatomic particle.
- Very simple.
- of or pertaining to or characteristic of elementary school or elementary education
- of or being the essential or basic part
- easy and not involved or complicated
noun
adj
- (mathematics, linear algebra) Of two square matrices; being such that a conjugation sends one matrix to the other.
- (mathematics) Having the same shape, in particular, having corresponding angles equal and corresponding line segments proportional.
- Having traits or characteristics in common; alike, allied, comparable.
- capable of replacing or changing places with something else; permitting mutual substitution without loss of function or suitability
- marked by correspondence or resemblance
- (of words) expressing closely related meanings
- having the same or similar characteristics
- resembling or similar; having the same or some of the same characteristics; often used in combination
noun
noun
- a matrix formed by interchanging the rows and columns of a given matrix
- (linear algebra) The matrix derived from performing a transpose operation on a given matrix.
- (graph theory) A graph whose every edge has had its direction reversed.
- (linear algebra) The process of rearranging elements in a matrix, by interchanging their respective row and column positional indicators.
adj
verb
- (transitive, linear algebra) To rearrange elements in a matrix, by interchanging their respective row and column positional indicators.
- put (a piece of music) into another key
- cause to change places
- change the order or arrangement of
- transfer a quantity from one side of an equation to the other side reversing its sign, in order to maintain equality
- transfer from one place or period to another
- change key
- exchange positions without a change in value
- (transitive, algebra) To move (a term) from one side of an algebraic equation to the other, reversing the sign of the term.
- (transitive, graph theory) To reverse the direction of every edge of (a graph).
- (transitive, law, chiefly of the European Union) To give force to a directive by passing appropriate implementation measures.
- (intransitive, chess) To reach a position that may also be obtained from a different move order.
- (transitive, music) To rewrite or perform (a piece) in another key.
- (transitive) To reverse or change the order of (two or more things); to swap or interchange.
adj
- Of a square matrix: such that its transpose is equal to its inverse.
- Of a pair of vectors: having a zero inner product; perpendicular.
- (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