English-Wörter für 'a square matrix whose determinant is not zero'
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noun
- (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
- (linear algebra) A scalar λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear transformation A is equal to the image of x under multiplication by λ; i.e. Ax=λx.
noun
- (mathematics) A determinant of a square matrix obtained by deleting one or more rows and columns.
- (entomology) A leaf-cutter worker ant intermediate in size between a minim and a media.
- (Canada, US, education) A formally recognized secondary area of undergraduate study, requiring fewer course credits than the equivalent major.
- (campanology) Changes rung on six bells.
- (rugby, historical) Ellipsis of minor point (“a lesser score formerly gained by certain actions”).
- (law) A child, a person who has not reached the age of majority, consent, etc. and is legally subject to fewer responsibilities and less accountability and entitled to fewer legal rights and privileges.
- (Canada, US, education, uncommon) A person who is completing or has completed such a course of study.
- (Australian football) Synonym of behind: a one-point kick.
- (Catholicism) Alternative letter-case form of Minor: a Franciscan friar, a Clarist nun.
- (baseball) Ellipsis of minor league (“the lower level of teams”).
- (entomology) Any of various noctuid moths in Europe and Asia, chiefly in the Oligia and Mesoligia genera.
- (logic) Ellipsis of minor term or minor premise.
- (ice hockey) Ellipsis of minor penalty (“a penalty requiring a player to leave the ice for 2 minutes unless the opposing team scores”).
- (bridge) Ellipsis of minor suit, a card of a minor suit.
- (music) Ellipsis of minor interval, minor scale, minor mode, minor key, minor chord, or minor triad.
- (graph theory) Short for graph minor
- A lesser person or thing, a person, group, or thing of minor rank or in the minor leagues.
- a young person of either sex
adj
- (music, historical) Of or related to the relationship between the longa and the breve in a score.
- (law) Underage, not having reached legal majority.
- (music, historical) Having semibreves twice as long as a minim.
- (mathematics) Of or related to a minor, a determinate obtained by deleting one or more rows and columns from a matrix.
- (music) Smaller by a diatonic semitone than the equivalent major interval.
- (graph theory) Including both directed and undirected edges.
- Lesser, smaller in importance, size, degree, seriousness, or significance compared to another option, particularly:
- (Canada, US, education) Of or related to a minor, a secondary area of undergraduate study.
- (medicine, sometimes figurative) Not serious, not involving risk of death, permanent injury, dangerous surgery, or extended hospitalization.
- (music) Incorporating a minor third interval above the (in scales) tonic or (in chords) root note, (also figurative) tending to produce a dark, discordant, sad, or pensive effect.
- Having little worth or ability; paltry; mean.
- (logic) Acting as the subject of the second premise of a categorical syllogism, which then also acts as the subject of its conclusion.
- (of a scale or mode) having half steps between the second and third degrees, and (usually) the fifth and sixth degrees, and the seventh and eighth degrees
- of the younger of two boys with the same family name
- relatively moderate, limited, or small
- warranting only temporal punishment
- inferior in number or size or amount
- not of legal age
- of lesser seriousness or danger
- lesser in scope or effect
- of lesser importance or stature or rank
- of your secondary field of academic concentration or specialization
verb
noun
- (linear algebra) The sum of the diagonal elements of a square matrix.
- (engineering) A connecting bar or rod, pivoted at each end to the end of another piece, for transmitting motion, especially from one plane to another; specifically, such a piece in an organ stop action to transmit motion from the trundle to the lever actuating the stop slider.
- An enquiry sent out for a missing article, such as a letter or an express package.
- A mark left as a sign of passage of a person or animal.
- An act of tracing.
- (meteorology) A small amount of rain, not enough to be measured.
- (semiotics) A signifier approximated in the absence of stable signified.
- A very small amount, often residual, of some substance or material.
- An informal road or prominent path in an arid area.
- (programming) A sequence of instructions, including branches but not loops, that is executed for some input data.
- (electronics) A current-carrying conductive pathway on a printed circuit board.
- (fortification) The ground plan of a work or works.
- (grammar) An empty category occupying a position in the syntactic structure from which something has been moved, used to explain constructions such as wh-movement and the passive.
- (geometry) The intersection of a plane of projection, or an original plane, with a coordinate plane.
- One of two straps, chains, or ropes of a harness, extending from the collar or breastplate to a whippletree attached to a vehicle or thing to be drawn; a tug.
- a just detectable amount
- a visible mark (as a footprint) left by the passage of person or animal or vehicle
- either of two lines that connect a horse's harness to a wagon or other vehicle or to a whiffletree
- a drawing created by superimposing a semitransparent sheet of paper on the original image and copying on it the lines of the original image
- an indication that something has been present
- a suggestion of some quality
adj
verb
- (transitive) To draw or sketch lightly or with care.
- (computing, transitive) To follow the execution of the program by making it to stop after every instruction, or by making it print a message after every step.
- (transitive) To follow the trail of.
- To follow the history of.
- (transitive) To copy onto a sheet of paper superimposed over the original, by drawing over its lines.
- make a mark or lines on a surface
- pursue or chase relentlessly
- follow, discover, or ascertain the course of development of something
- make one's course or travel along a path; travel or pass over, around, or along
- copy by following the lines of the original drawing on a transparent sheet placed upon it; make a tracing of
- read with difficulty
- to go back over again
- discover traces of
noun
adj
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
adj
- (linear algebra) Said of a real, square matrix: that the product of it with a column vector on its right side and the transpose of that column vector on its left side is greater or equal to zero, only equaling zero if the vector itself is zero.
- (linear algebra) Said of a quadratic form: that the application of it to a tuple is greater or equal to zero, only equaling zero if the tuple itself is zero.
noun
- (linear algebra) The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant.
- (mathematics) A polynomial P(r) corresponding to a homogeneous, linear, ordinary differential equation P(D) y = 0 where D is a differential operator (with respect to a variable t, if y is a function of t).
noun
- (linear algebra) For a given square matrix M over some field K, the smallest-degree monic polynomial over K which, when applied to M, yields the zero matrix.
- (field theory) Given an algebraic element α of a given extension field of some field K, the monic polynomial of smallest degree of which α is a root.
noun
- changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal)
- (mathematics) An argument used in proof by contradiction by constructing a supposedly exhaustive list of all members of a class, and then subsequently constructing a new member which differs from each existing member in at least one place and therefore cannot belong to the list.
- (mathematics) In matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix.
adj
- (linear algebra, of transformation) Having the property that the matrix of coefficients of the new variables has a determinant equal to zero.
- (linear algebra, of matrix) Having no inverse.
- Being the only one of the kind; unique.
- Being only one of a larger population; single, individual.
- (set theory, of a cardinal number) Not equal to its own cofinality.
- Distinguished by superiority: peerless, unmatched, eminent, exceptional, extraordinary.
- (chiefly law) Each; individual.
- (grammar) Referring to only one thing or person.
- Out of the ordinary; curious.
- unusual or striking
- the single one of its kind
- being a single and separate person or thing
- beyond or deviating from the usual or expected
- grammatical number category referring to a single item or unit
- composed of one member, set, or kind
noun
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
- (linear algebra) A block diagonal matrix interpreted as having its non-zero blocks (which are square matrices) as summands.
- (mathematics) coproduct in some categories, like abelian groups, topological spaces or modules
- (linear algebra) A linear sum in which the intersection of the summands has dimension zero. Equivalently, a linear sum of two subspaces, any vector of which can be expressed uniquely as a sum of two vectors: one vector belonging to the first subspace, and the other vector belonging to the second subspace.
- a union of two disjoint sets in which every element is the sum of an element from each of the disjoint sets
noun
- a square matrix used to solve simultaneous equations
- the site on the surface of an antigen molecule to which an antibody attaches itself
- a determining or causal element or factor
- (linear algebra) A scalar that encodes certain characteristics of a given transformation matrix; the unique scalar function over square matrices which is distributive over matrix multiplication, multilinear in the rows and columns, and takes the value 1 for the unit matrix; abbreviated as: det.
- (biology) A substance that causes a cell to adopt a particular fate.
- (genetics) Something that causes a nuclease to cut at a specified point
- A determining factor; an element that determines the nature of something.
adj
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
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
- (linear algebra, combinatorics) Given an n×n matrix a_ij,, the sum over all permutations π, of ∏ᵢ₌₁ⁿa_iπ(i).
- (collectible card games) A card whose effects persist beyond the turn on which it is played.
- A chemical hair treatment imparting or removing curliness, whose effects typically last for a period of weeks; a perm.
- a series of waves in the hair made by applying heat and chemicals
adj
adj
noun
- A level or rank in an organization, profession, or society.
- (military) A formation of troops, ships, aircraft, etc., in diagonal parallel rows.
- (cycling) A line of riders seeking maximum drafting in a crosswind, resulting in a diagonal line across the road.
- a diffraction grating consisting of a pile of plates of equal thickness arranged stepwise with a constant offset
- status in a society or organization
- a body of troops arranged in a line
verb
noun
- (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
- (linear algebra) A scalar λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear transformation A is equal to the image of x under multiplication by λ; i.e. Ax=λx.
noun
- (mathematics) A determinant of a square matrix obtained by deleting one or more rows and columns.
- (entomology) A leaf-cutter worker ant intermediate in size between a minim and a media.
- (Canada, US, education) A formally recognized secondary area of undergraduate study, requiring fewer course credits than the equivalent major.
- (campanology) Changes rung on six bells.
- (rugby, historical) Ellipsis of minor point (“a lesser score formerly gained by certain actions”).
- (law) A child, a person who has not reached the age of majority, consent, etc. and is legally subject to fewer responsibilities and less accountability and entitled to fewer legal rights and privileges.
- (Canada, US, education, uncommon) A person who is completing or has completed such a course of study.
- (Australian football) Synonym of behind: a one-point kick.
- (Catholicism) Alternative letter-case form of Minor: a Franciscan friar, a Clarist nun.
- (baseball) Ellipsis of minor league (“the lower level of teams”).
- (entomology) Any of various noctuid moths in Europe and Asia, chiefly in the Oligia and Mesoligia genera.
- (logic) Ellipsis of minor term or minor premise.
- (ice hockey) Ellipsis of minor penalty (“a penalty requiring a player to leave the ice for 2 minutes unless the opposing team scores”).
- (bridge) Ellipsis of minor suit, a card of a minor suit.
- (music) Ellipsis of minor interval, minor scale, minor mode, minor key, minor chord, or minor triad.
- (graph theory) Short for graph minor
- A lesser person or thing, a person, group, or thing of minor rank or in the minor leagues.
- a young person of either sex
adj
- (music, historical) Of or related to the relationship between the longa and the breve in a score.
- (law) Underage, not having reached legal majority.
- (music, historical) Having semibreves twice as long as a minim.
- (mathematics) Of or related to a minor, a determinate obtained by deleting one or more rows and columns from a matrix.
- (music) Smaller by a diatonic semitone than the equivalent major interval.
- (graph theory) Including both directed and undirected edges.
- Lesser, smaller in importance, size, degree, seriousness, or significance compared to another option, particularly:
- (Canada, US, education) Of or related to a minor, a secondary area of undergraduate study.
- (medicine, sometimes figurative) Not serious, not involving risk of death, permanent injury, dangerous surgery, or extended hospitalization.
- (music) Incorporating a minor third interval above the (in scales) tonic or (in chords) root note, (also figurative) tending to produce a dark, discordant, sad, or pensive effect.
- Having little worth or ability; paltry; mean.
- (logic) Acting as the subject of the second premise of a categorical syllogism, which then also acts as the subject of its conclusion.
- (of a scale or mode) having half steps between the second and third degrees, and (usually) the fifth and sixth degrees, and the seventh and eighth degrees
- of the younger of two boys with the same family name
- relatively moderate, limited, or small
- warranting only temporal punishment
- inferior in number or size or amount
- not of legal age
- of lesser seriousness or danger
- lesser in scope or effect
- of lesser importance or stature or rank
- of your secondary field of academic concentration or specialization
verb
noun
- (linear algebra) The sum of the diagonal elements of a square matrix.
- (engineering) A connecting bar or rod, pivoted at each end to the end of another piece, for transmitting motion, especially from one plane to another; specifically, such a piece in an organ stop action to transmit motion from the trundle to the lever actuating the stop slider.
- An enquiry sent out for a missing article, such as a letter or an express package.
- A mark left as a sign of passage of a person or animal.
- An act of tracing.
- (meteorology) A small amount of rain, not enough to be measured.
- (semiotics) A signifier approximated in the absence of stable signified.
- A very small amount, often residual, of some substance or material.
- An informal road or prominent path in an arid area.
- (programming) A sequence of instructions, including branches but not loops, that is executed for some input data.
- (electronics) A current-carrying conductive pathway on a printed circuit board.
- (fortification) The ground plan of a work or works.
- (grammar) An empty category occupying a position in the syntactic structure from which something has been moved, used to explain constructions such as wh-movement and the passive.
- (geometry) The intersection of a plane of projection, or an original plane, with a coordinate plane.
- One of two straps, chains, or ropes of a harness, extending from the collar or breastplate to a whippletree attached to a vehicle or thing to be drawn; a tug.
- a just detectable amount
- a visible mark (as a footprint) left by the passage of person or animal or vehicle
- either of two lines that connect a horse's harness to a wagon or other vehicle or to a whiffletree
- a drawing created by superimposing a semitransparent sheet of paper on the original image and copying on it the lines of the original image
- an indication that something has been present
- a suggestion of some quality
adj
verb
- (transitive) To draw or sketch lightly or with care.
- (computing, transitive) To follow the execution of the program by making it to stop after every instruction, or by making it print a message after every step.
- (transitive) To follow the trail of.
- To follow the history of.
- (transitive) To copy onto a sheet of paper superimposed over the original, by drawing over its lines.
- make a mark or lines on a surface
- pursue or chase relentlessly
- follow, discover, or ascertain the course of development of something
- make one's course or travel along a path; travel or pass over, around, or along
- copy by following the lines of the original drawing on a transparent sheet placed upon it; make a tracing of
- read with difficulty
- to go back over again
- discover traces of
noun
adj
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
- (linear algebra) The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant.
- (mathematics) A polynomial P(r) corresponding to a homogeneous, linear, ordinary differential equation P(D) y = 0 where D is a differential operator (with respect to a variable t, if y is a function of t).
noun
- (linear algebra) For a given square matrix M over some field K, the smallest-degree monic polynomial over K which, when applied to M, yields the zero matrix.
- (field theory) Given an algebraic element α of a given extension field of some field K, the monic polynomial of smallest degree of which α is a root.
noun
- changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal)
- (mathematics) An argument used in proof by contradiction by constructing a supposedly exhaustive list of all members of a class, and then subsequently constructing a new member which differs from each existing member in at least one place and therefore cannot belong to the list.
- (mathematics) In matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix.
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
- (linear algebra) A block diagonal matrix interpreted as having its non-zero blocks (which are square matrices) as summands.
- (mathematics) coproduct in some categories, like abelian groups, topological spaces or modules
- (linear algebra) A linear sum in which the intersection of the summands has dimension zero. Equivalently, a linear sum of two subspaces, any vector of which can be expressed uniquely as a sum of two vectors: one vector belonging to the first subspace, and the other vector belonging to the second subspace.
- a union of two disjoint sets in which every element is the sum of an element from each of the disjoint sets
noun
- a square matrix used to solve simultaneous equations
- the site on the surface of an antigen molecule to which an antibody attaches itself
- a determining or causal element or factor
- (linear algebra) A scalar that encodes certain characteristics of a given transformation matrix; the unique scalar function over square matrices which is distributive over matrix multiplication, multilinear in the rows and columns, and takes the value 1 for the unit matrix; abbreviated as: det.
- (biology) A substance that causes a cell to adopt a particular fate.
- (genetics) Something that causes a nuclease to cut at a specified point
- A determining factor; an element that determines the nature of something.
adj
noun
- (linear algebra, combinatorics) Given an n×n matrix a_ij,, the sum over all permutations π, of ∏ᵢ₌₁ⁿa_iπ(i).
- (collectible card games) A card whose effects persist beyond the turn on which it is played.
- A chemical hair treatment imparting or removing curliness, whose effects typically last for a period of weeks; a perm.
- a series of waves in the hair made by applying heat and chemicals
adj
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adj
- (linear algebra) Said of a real, square matrix: that the product of it with a column vector on its right side and the transpose of that column vector on its left side is greater or equal to zero, only equaling zero if the vector itself is zero.
- (linear algebra) Said of a quadratic form: that the application of it to a tuple is greater or equal to zero, only equaling zero if the tuple itself is zero.
adj
- (linear algebra, of transformation) Having the property that the matrix of coefficients of the new variables has a determinant equal to zero.
- (linear algebra, of matrix) Having no inverse.
- Being the only one of the kind; unique.
- Being only one of a larger population; single, individual.
- (set theory, of a cardinal number) Not equal to its own cofinality.
- Distinguished by superiority: peerless, unmatched, eminent, exceptional, extraordinary.
- (chiefly law) Each; individual.
- (grammar) Referring to only one thing or person.
- Out of the ordinary; curious.
- unusual or striking
- the single one of its kind
- being a single and separate person or thing
- beyond or deviating from the usual or expected
- grammatical number category referring to a single item or unit
- composed of one member, set, or kind
noun
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
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
adj
noun
- A level or rank in an organization, profession, or society.
- (military) A formation of troops, ships, aircraft, etc., in diagonal parallel rows.
- (cycling) A line of riders seeking maximum drafting in a crosswind, resulting in a diagonal line across the road.
- a diffraction grating consisting of a pile of plates of equal thickness arranged stepwise with a constant offset
- status in a society or organization
- a body of troops arranged in a line