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MAIN DIAGONAL

  • Main diagonal
  • Entries of a matrix for which the row and column indices are equal

    linear algebra, the main diagonal (sometimes principal diagonal, primary diagonal, leading diagonal, major diagonal, or good diagonal) of a matrix A {\displaystyle

    Main diagonal

    Main_diagonal

  • Diagonal matrix
  • Matrix whose only nonzero elements are on its main diagonal

    In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term usually refers to square matrices

    Diagonal matrix

    Diagonal_matrix

  • Square matrix
  • Matrix with the same number of rows and columns

    The entries a i i {\displaystyle a_{ii}} (i = 1, ..., n) form the main diagonal of a square matrix. They lie on the imaginary line which runs from the

    Square matrix

    Square matrix

    Square_matrix

  • Tridiagonal matrix
  • Matrix with nonzero elements on the main diagonal and the diagonals above and below it

    on the main diagonal, the subdiagonal/lower diagonal (the first diagonal below this), and the supradiagonal/upper diagonal (the first diagonal above the

    Tridiagonal matrix

    Tridiagonal_matrix

  • Block matrix
  • Matrix defined using smaller matrices called blocks

    like the block diagonal matrix a square matrix, having square matrices (blocks) in the lower diagonal, main diagonal and upper diagonal, with all other

    Block matrix

    Block matrix

    Block_matrix

  • Matrix (mathematics)
  • Array of numbers

    of A below the main diagonal are zero, A is called an upper triangular matrix. Similarly, if all entries of A above the main diagonal are zero, A is called

    Matrix (mathematics)

    Matrix (mathematics)

    Matrix_(mathematics)

  • LU decomposition
  • Type of matrix factorization

    matrix all elements above the main diagonal are zero, in the upper triangular matrix, all the elements below the diagonal are zero. For example, for a

    LU decomposition

    LU_decomposition

  • Hermitian matrix
  • Matrix equal to its conjugate-transpose

    zero. Only the main diagonal entries are necessarily real; a Hermitian matrix can have arbitrary complex-valued entries as its off-diagonal elements, as

    Hermitian matrix

    Hermitian_matrix

  • Triangular matrix
  • Special kind of square matrix

    entries above the main diagonal are zero. Similarly, a square matrix is called upper triangular if all the entries below the main diagonal are zero. Because

    Triangular matrix

    Triangular_matrix

  • Trace (linear algebra)
  • Sum of elements on the main diagonal

    matrix A, denoted tr(A), is defined as a sum of the elements on its main diagonal, a 11 + a 22 + ⋯ + a n n {\displaystyle a_{11}+a_{22}+\dots +a_{nn}}

    Trace (linear algebra)

    Trace_(linear_algebra)

  • Anti-diagonal matrix
  • Matrix whose only nonzero entries lie on the lower-left-to-upper-right diagonal

    known as the anti-diagonal (sometimes Harrison diagonal, secondary diagonal, trailing diagonal, minor diagonal, off diagonal or bad diagonal). An n-by-n matrix

    Anti-diagonal matrix

    Anti-diagonal_matrix

  • Covariance matrix
  • Measure of covariance of components of a random vector

    Any covariance matrix is symmetric and positive semi-definite and its main diagonal contains variances (i.e., the covariance of each element with itself)

    Covariance matrix

    Covariance matrix

    Covariance_matrix

  • Identity matrix
  • Square matrix with ones on the main diagonal and zeros elsewhere

    the n × n {\displaystyle n\times n} square matrix with ones on the main diagonal and zeros elsewhere. It has unique properties; for example when the

    Identity matrix

    Identity matrix

    Identity_matrix

  • Linear algebra
  • Branch of mathematics

    this basis has a very simple structure: it is a diagonal matrix such that the entries on the main diagonal are eigenvalues, and the other entries are zero

    Linear algebra

    Linear algebra

    Linear_algebra

  • Symmetric matrix
  • Matrix equal to its transpose

    The entries of a symmetric matrix are symmetric with respect to the main diagonal. So if a i j {\displaystyle a_{ij}} denotes the entry in the i {\displaystyle

    Symmetric matrix

    Symmetric matrix

    Symmetric_matrix

  • List of named matrices
  • matrices with the same number of columns and rows. The main diagonal of a square matrix is the diagonal joining the upper left corner and the lower right one

    List of named matrices

    List of named matrices

    List_of_named_matrices

  • Sudoku
  • Logic-based number-placement puzzle

    extra "dimension"; the most common is to require the numbers in the main diagonals of the grid to also be unique. The aforementioned "Number Place Challenger"

    Sudoku

    Sudoku

    Sudoku

  • Jordan normal form
  • Form of a matrix indicating its eigenvalues and their algebraic multiplicities

    Each Jordan block contains one number λi on its main diagonal, and 1s directly above the main diagonal. The λis are the eigenvalues of the matrix; they

    Jordan normal form

    Jordan_normal_form

  • Eigenvalues and eigenvectors
  • Concepts from linear algebra

    with entries only along the main diagonal are called diagonal matrices. The eigenvalues of a diagonal matrix are the diagonal elements themselves. Consider

    Eigenvalues and eigenvectors

    Eigenvalues_and_eigenvectors

  • Two-dimensional correlation analysis
  • Mathematical technique in spectroscopic analysis

    these main diagonal peaks are also called autopeaks and the main diagonal signal is referred to as autocorrelation signal. The off-diagonal cross-peaks

    Two-dimensional correlation analysis

    Two-dimensional_correlation_analysis

  • Adjugate matrix
  • For a square matrix, the transpose of the cofactor matrix

    of a matrix with its adjugate gives a diagonal matrix (entries not on the main diagonal are zero) whose diagonal entries are the determinant of the original

    Adjugate matrix

    Adjugate_matrix

  • Sparse matrix
  • Matrix in which most of the elements are zero

    efficiently by storing just the entries in the main diagonal as a one-dimensional array, so a diagonal n × n matrix requires only n entries in memory

    Sparse matrix

    Sparse matrix

    Sparse_matrix

  • Band matrix
  • Matrix with non-zero elements only in a diagonal band

    whose non-zero entries are confined to a diagonal band, comprising the main diagonal and zero or more diagonals on either side. Formally, consider an n×n

    Band matrix

    Band_matrix

  • Matrix multiplication
  • Mathematical operation in linear algebra

    square matrices whose entries are zero outside of the main diagonal and 1 on the main diagonal) are identity elements of the matrix product. It follows

    Matrix multiplication

    Matrix multiplication

    Matrix_multiplication

  • Transpose
  • Matrix operation which flips a matrix over its diagonal

    be constructed by any of the following methods: Reflect A over its main diagonal (which runs from the top left to the bottom right) to obtain AT Write

    Transpose

    Transpose

    Transpose

  • Sequence alignment
  • Process in bioinformatics that identifies equivalent sites within molecular sequences

    closely related sequences will appear as a single line along the matrix's main diagonal. Problems with dot plots as an information display technique include:

    Sequence alignment

    Sequence alignment

    Sequence_alignment

  • Diagonalization
  • Topics referred to by the same term

    a construction of a diagonal matrix (with nonzero entries only on the main diagonal) that is similar to a given matrix Diagonal argument (disambiguation)

    Diagonalization

    Diagonalization

  • Marching tetrahedra
  • Computer graphics rendering algorithm

    we now have nineteen edges: the original twelve, six face diagonals, and the main diagonal. Just like in marching cubes, the intersections of these edges

    Marching tetrahedra

    Marching tetrahedra

    Marching_tetrahedra

  • Identity
  • Topics referred to by the same term

    that leaves its argument unchanged Identity matrix, with ones on the main diagonal, zeros elsewhere Digital identity, information used by computer systems

    Identity

    Identity

  • Bernoulli number
  • Rational number sequence

    main diagonal is zeroes = OEIS: A000004, the autosequence is of the first kind. Example: OEIS: A000045, the Fibonacci numbers. If the main diagonal is

    Bernoulli number

    Bernoulli_number

  • Laplacian matrix
  • Matrix representation of a graph

    Graph self-loops, manifesting themselves by non-zero entries on the main diagonal of the adjacency matrix, are allowed but do not affect the graph Laplacian

    Laplacian matrix

    Laplacian_matrix

  • Damm algorithm
  • Check digit algorithm

    Verhoeff scheme. A table of inverses can also be dispensed with when all main diagonal entries of the operation table are zero. The Damm algorithm generates

    Damm algorithm

    Damm_algorithm

  • Bidiagonal matrix
  • entries along the main diagonal and either the diagonal above or the diagonal below. This means there are exactly two non-zero diagonals in the matrix. When

    Bidiagonal matrix

    Bidiagonal_matrix

  • Markov chain
  • Random process independent of past history

    where I is the identity matrix and diag(Q) is the diagonal matrix formed by selecting the main diagonal from the matrix Q and setting all other elements

    Markov chain

    Markov chain

    Markov_chain

  • Vectorization (mathematics)
  • Conversion of a matrix or a tensor to a vector

    Kronecker product ∗ {\textstyle \ast } (see Khatri-Rao product) and the main diagonal b = [ b 1 , … , b n ] T {\textstyle b={\begin{bmatrix}b_{1},\dots

    Vectorization (mathematics)

    Vectorization_(mathematics)

  • Hadamard product (matrices)
  • Elementwise product of two matrices

    For vectors x and y and corresponding diagonal matrices Dx and Dy with these vectors as their main diagonals, the following identity holds: x ∗ ( A ⊙

    Hadamard product (matrices)

    Hadamard product (matrices)

    Hadamard_product_(matrices)

  • Hexagon
  • Shape with six sides

    {3}}}} times the apothem (radius of the inscribed circle). The longest diagonals of a regular hexagon, connecting diametrically opposite vertices, are

    Hexagon

    Hexagon

    Hexagon

  • Salsa20
  • Stream ciphers

    QR(0, 5, 10, 15) // diagonal 1 (main diagonal) QR(1, 6, 11, 12) // diagonal 2 QR(2, 7, 8, 13) // diagonal 3 QR(3, 4, 9, 14) // diagonal 4 ChaCha20 uses 10

    Salsa20

    Salsa20

    Salsa20

  • Skew-symmetric matrix
  • Form of a matrix

    {\textstyle {\frac {1}{2}}n(n-1)} scalars (the number of entries above the main diagonal); a symmetric matrix is determined by 1 2 n ( n + 1 ) {\textstyle {\frac

    Skew-symmetric matrix

    Skew-symmetric_matrix

  • Tridiagonal matrix algorithm
  • Improved reduction for specific matrices

    ..., X - 1] a[] = subdiagonal, indexed from [1, ..., X - 1] b[] = main diagonal, indexed from [0, ..., X - 1] c[] = superdiagonal, indexed from [0,

    Tridiagonal matrix algorithm

    Tridiagonal_matrix_algorithm

  • Unit
  • Topics referred to by the same term

    interval, an interval of distance 1 Unit matrix, a diagonal matrix such that all elements on the main diagonal are 1 and all the others are zero Unit round-off

    Unit

    Unit

  • Dot plot (bioinformatics)
  • Graphical plot

    obviously have a diagonal line in the center of the matrix. Insertions and deletions between sequences give rise to disruptions in this diagonal. Regions of

    Dot plot (bioinformatics)

    Dot plot (bioinformatics)

    Dot_plot_(bioinformatics)

  • Frobenius matrix
  • properties:[citation needed] all entries on the main diagonal are ones the entries below the main diagonal of at most one column are arbitrary every other

    Frobenius matrix

    Frobenius_matrix

  • Cantor's theorem
  • Every set is smaller than its power set

    x\in y} . Given the order chosen for the row and column labels, the main diagonal D {\displaystyle D} of this table thus records whether x ∈ f ( x ) {\displaystyle

    Cantor's theorem

    Cantor's theorem

    Cantor's_theorem

  • OpenSimplex noise
  • N-dimensional gradient noise function

    simplex noise starts with a hypercubic honeycomb and squashes it down the main diagonal in order to form its grid structure, OpenSimplex noise instead swaps

    OpenSimplex noise

    OpenSimplex noise

    OpenSimplex_noise

  • Padé table
  • Array in complex analysis

    continued fractions and Padé tables with normal approximants along the main diagonal: the "stairstep" sequence of Padé approximants R0,0, R1,0, R1,1, R2

    Padé table

    Padé table

    Padé_table

  • Integer partition
  • Decomposition of an integer as a sum of positive integers

    restrictions. If we flip the diagram of the partition 6 + 4 + 3 + 1 along its main diagonal, we obtain another partition of 14: By turning the rows into columns

    Integer partition

    Integer partition

    Integer_partition

  • Modal matrix
  • where D {\displaystyle D} is an n × n diagonal matrix with the eigenvalues of A {\displaystyle A} on the main diagonal of D {\displaystyle D} and zeros elsewhere

    Modal matrix

    Modal_matrix

  • Diagonal (disambiguation)
  • Topics referred to by the same term

    pitch Main diagonal, the entries of a matrix whose row and column indices are the same Diagonal matrix, a matrix whose entries off the main diagonal are

    Diagonal (disambiguation)

    Diagonal (disambiguation)

    Diagonal_(disambiguation)

  • Rotation matrix
  • Matrix representing a Euclidean rotation

    two-dimensional subspaces, at most ⁠n/2⁠ of them. The sum of the entries on the main diagonal of a matrix is called the trace; it does not change if we reorient the

    Rotation matrix

    Rotation_matrix

  • Tanzanian draughts
  • Board game variant from Tanzania

    draw if one player has three kings (with at least one controlling the main diagonal) and the opponent has one king. 12-Move Rule: In the scenario above

    Tanzanian draughts

    Tanzanian draughts

    Tanzanian_draughts

  • Generalized eigenvector
  • Vector satisfying some of the criteria of an eigenvector

    that is, immediately below the main diagonal instead of on the superdiagonal. The eigenvalues are still on the main diagonal. Every n × n matrix A {\displaystyle

    Generalized eigenvector

    Generalized_eigenvector

  • Hyperbolic sector
  • Region of the Cartesian plane bounded by a hyperbola and two radii

    triangles, projecting from a point on the hyperbola xy = 1 onto the main diagonal, in his article "Note on the addition theorem for hyperbolic functions"

    Hyperbolic sector

    Hyperbolic sector

    Hyperbolic_sector

  • Softmax function
  • Smooth approximation of one-hot arg max

    that all output sum to 1 meaning it lies on a hyperplane. Along the main diagonal ( x , x , … , x ) , {\displaystyle (x,\,x,\,\dots ,\,x),} softmax is

    Softmax function

    Softmax_function

  • Persymmetric matrix
  • Square matrix symmetric about its anti-diagonal

    northeast-to-southwest diagonal (anti-diagonal); or a square matrix such that the values on each line perpendicular to the main diagonal are the same for a

    Persymmetric matrix

    Persymmetric_matrix

  • Alternating permutation
  • Type of permutation

    autosequence of the first kind (the main diagonal is OEIS: A000004). The corresponding array is: The first two upper diagonals are −1 3 −24 402... = (−1)n +

    Alternating permutation

    Alternating_permutation

  • Definite matrix
  • Property of a mathematical matrix

    a real diagonal matrix whose main diagonal contains the corresponding eigenvalues. The matrix M {\displaystyle M} may be regarded as a diagonal matrix

    Definite matrix

    Definite_matrix

  • Fisher–Yates shuffle
  • Algorithm for shuffling a finite sequence

    for most elements, ending up in their original position (the matrix's main diagonal) has lowest probability, and moving one slot backwards has highest probability

    Fisher–Yates shuffle

    Fisher–Yates shuffle

    Fisher–Yates_shuffle

  • Standard deviation
  • Measure of variation in statistics

    x3) in R3. Consider the line L = {(r, r, r) : r ∈ R}. This is the "main diagonal" going through the origin. If our three given values were all equal

    Standard deviation

    Standard deviation

    Standard_deviation

  • Magic square
  • Square of numbers with equal row, column and diagonal totals

    integers, where the sums of the numbers in each row, each column, and both main diagonals are the same. The order of a magic square is the number of integers

    Magic square

    Magic square

    Magic_square

  • Dihedral group of order 8
  • Group of symmetries of the square

    can be seen from the table; the table is not symmetrical about the main diagonal. There are five different groups of order 8. Three of them are abelian:

    Dihedral group of order 8

    Dihedral_group_of_order_8

  • Checkers
  • Strategy board game

    jumps made by a single piece; the jumps do not need to be on the same diagonal direction and may "zigzag" (change direction). In American checkers and

    Checkers

    Checkers

    Checkers

  • Probability density function
  • Description of continuous random distribution

    n}\end{bmatrix}},} which is an upper triangular matrix with ones on the main diagonal, therefore its determinant is 1. Applying the change of variable theorem

    Probability density function

    Probability density function

    Probability_density_function

  • Simplex noise
  • Construction for n-dimensional noise functions

    arrangement of a hypercubic honeycomb that has been squashed along its main diagonal until the distance between the points (0, 0, ..., 0) and (1, 1, ...

    Simplex noise

    Simplex noise

    Simplex_noise

  • Queen's graph
  • Mathematical graph relating to chess

    subgroup, there are also positions where the queens occupy squares on the main diagonal only (e.g. from a1 to h8), or all on a subdiagonal (e.g. from a2 to

    Queen's graph

    Queen's_graph

  • Metzler matrix
  • Square matrix whose off-diagonal entries are nonnegative

    nonnegative if all of its elements are non-negative except for those on the main diagonal, which are unconstrained. That is, a Metzler matrix is any matrix A

    Metzler matrix

    Metzler_matrix

  • Halting problem
  • Problem in computer science

    using f. The construction of the function g can be visualized using the main diagonal of this array. If the array has a 0 at position (i,i), then g(i) is

    Halting problem

    Halting_problem

  • Partial inverse of a matrix
  • {\displaystyle \mathrm {inv} _{k}} if restricted to blocks along the main diagonal, or by Y ^ k ℓ {\displaystyle {\hat {Y}}_{k\ell }} if considering the

    Partial inverse of a matrix

    Partial_inverse_of_a_matrix

  • Cayley table
  • Mathematical tool in group theory

    function for that symbol. (Note that e is in every position down the main diagonal, which gives us the identity matrix for 6x6 matrices in this case, as

    Cayley table

    Cayley_table

  • Constructions of magic squares
  • Methods of constructing magic squares

    arbitrarily placed in the main diagonal or the skew diagonal (and correspondingly along the skew diagonal or the main diagonal for the Latin squares), we

    Constructions of magic squares

    Constructions_of_magic_squares

  • Master equation
  • Equations governing time evolution of physical systems

    do not appear in the summation. This allows calculations even if the main diagonal of A {\displaystyle \mathbf {A} } is not defined or has been assigned

    Master equation

    Master_equation

  • Structural alignment
  • Aligning molecular sequences using sequence and structural information

    residues that are contiguous in sequence appear on the matrix's main diagonal; other diagonals in the matrix reflect spatial contacts between residues that

    Structural alignment

    Structural alignment

    Structural_alignment

  • Arrowhead matrix
  • containing zeros in all entries except for the first row, first column, and main diagonal, these entries can be any number. In other words, the matrix has the

    Arrowhead matrix

    Arrowhead_matrix

  • Covariance
  • Measure of the joint variability

    vectors whose covariance matrix is zero in every entry outside the main diagonal are also called uncorrelated. If X {\displaystyle X} and Y {\displaystyle

    Covariance

    Covariance

  • Cohen's kappa
  • Statistic measuring inter-rater agreement for categorical items

    and B are readers, data on the main diagonal of the matrix (a and d) count the number of agreements and off-diagonal data (b and c) count the number

    Cohen's kappa

    Cohen's_kappa

  • Monge array
  • Type of mathematical object

    property that the sum of the upper-left and lower-right elements (on the main diagonal) is less than or equal to the sum of the lower-left and upper-right

    Monge array

    Monge_array

  • Cross product
  • Mathematical operation on vectors in 3D space

    two diagonals of Sarrus's scheme (those containing i), or to remember the xyzzy sequence. Since the first diagonal in Sarrus's scheme is just the main diagonal

    Cross product

    Cross product

    Cross_product

  • Emilie Virginia Haynsworth
  • American mathematician

    doctorate in 1952. Her dissertation, Bounds for Determinants with Dominant Main Diagonal, was supervised by Alfred Brauer. In 1951, Haynsworth took a faculty

    Emilie Virginia Haynsworth

    Emilie_Virginia_Haynsworth

  • Trace
  • Topics referred to by the same term

    have occurred. Trace (linear algebra), the sum of the elements on the main diagonal of a square matrix or a linear transformation Field trace, a particular

    Trace

    Trace

  • Cholesky decomposition
  • Matrix decomposition method

    {C} ^{*}} of a positive definite matrix, if S is a diagonal matrix that contains the main diagonal of C {\textstyle \mathbf {C} } , then A can be decomposed

    Cholesky decomposition

    Cholesky_decomposition

  • Point accepted mutation
  • Type of similarity matrix in computational biology

    two amino acids involved. These counts were used as entries below the main diagonal of the matrix A {\displaystyle A} . Since the vast majority of protein

    Point accepted mutation

    Point accepted mutation

    Point_accepted_mutation

  • Idempotent matrix
  • Matrix that, squared, equals itself

    matrix. The trace of an idempotent matrix—the sum of the elements on its main diagonal—equals the rank of the matrix and thus is always an integer. This provides

    Idempotent matrix

    Idempotent_matrix

  • Bingo card
  • Game playing card

    Bingo" is completing any of the five rows, columns, or either of the main diagonals. In this case the possibility of multiple winning cards is unavoidable

    Bingo card

    Bingo card

    Bingo_card

  • Abelian group
  • Commutative group (mathematics)

    The group is abelian if and only if this table is symmetric about the main diagonal, which means that for all i , j = 1 , . . . , n {\displaystyle i,j=1

    Abelian group

    Abelian group

    Abelian_group

  • Alpha beta filter
  • Predictive filter

    is a square matrix of dimension 2, with all main diagonal terms equal to 1, and the first super-diagonal terms equal to ΔT. The observation equation matrix

    Alpha beta filter

    Alpha_beta_filter

  • Invertible matrix
  • Matrix with a multiplicative inverse

    size of A, and tr(A) is the trace of matrix A given by the sum of the main diagonal. The sum is taken over s and the sets of all k l ≥ 0 {\displaystyle

    Invertible matrix

    Invertible_matrix

  • Outline of linear algebra
  • Spectral theorem Perron–Frobenius theorem List of matrices Diagonal matrix, main diagonal Diagonalizable matrix Triangular matrix Tridiagonal matrix Block

    Outline of linear algebra

    Outline_of_linear_algebra

  • Multivariate kernel density estimation
  • Concept in statistics mathematics

    three main parametrisation classes (in increasing order of complexity) are S, the class of positive scalars times the identity matrix; D, diagonal matrices

    Multivariate kernel density estimation

    Multivariate_kernel_density_estimation

  • Octonion
  • Hypercomplex number system

    Most off-diagonal elements of the table are antisymmetric, making it almost a skew-symmetric matrix except for the elements on the main diagonal, as well

    Octonion

    Octonion

  • Salem–Spencer set
  • Progression-free set of numbers

    possible on the main diagonal of an n × n {\displaystyle n\times n} chessboard so that all squares of the board are attacked. The set of diagonal squares that

    Salem–Spencer set

    Salem–Spencer set

    Salem–Spencer_set

  • Laplace's equation
  • Second-order partial differential equation

    and tesseral harmonics are depicted along the left-most column, the main diagonal, and elsewhere, respectively. (The negative order harmonics Y ℓ − m

    Laplace's equation

    Laplace's equation

    Laplace's_equation

  • Main sequence
  • Continuous band of stars that appears on plots of stellar color versus brightness

    In astronomy, the main sequence is a classification of stars which appear on plots of stellar color versus brightness as a continuous and distinctive band

    Main sequence

    Main sequence

    Main_sequence

  • Multiplication table
  • Mathematical table

    commutative, a × b = b × a. Therefore, the table is symmetric across its main diagonal, and can be reduced to 45 entries by only showing entries a × b where

    Multiplication table

    Multiplication table

    Multiplication_table

  • Tensegrity
  • Structural design made of isolated members held in place by tension

    l)\rightarrow (d,l,0)\rightarrow (l,0,d)} ⁠ (rotational symmetry in the main diagonal of the cube). The distance s between any two neighboring vertices (0

    Tensegrity

    Tensegrity

    Tensegrity

  • Correlogram
  • Chart of correlation statistics

    h {\displaystyle h} th diagonal of Q {\displaystyle Q} . For example, the 0 {\displaystyle 0} th diagonal (the main diagonal) of Q {\displaystyle Q}

    Correlogram

    Correlogram

    Correlogram

  • Matrix exponential
  • Matrix operation generalizing exponentiation of scalar numbers

    evaluated at t = 1. When X is an n × n diagonal matrix then exp(X) will be an n × n diagonal matrix with each diagonal element equal to the ordinary exponential

    Matrix exponential

    Matrix_exponential

  • Perron–Frobenius theorem
  • Theorem in linear algebra

    O {\displaystyle O} denotes a zero matrix and the blocks along the main diagonal are square matrices. Collatz–Wielandt formula: for all non-negative

    Perron–Frobenius theorem

    Perron–Frobenius_theorem

  • Glossary of Sudoku
  • Additional 3×3 boxes are added within the main grid. Main diagonals unique – The cell values along both main diagonals must be unique, such as Sudoku X. Relative

    Glossary of Sudoku

    Glossary of Sudoku

    Glossary_of_Sudoku

  • Power dividers and directional couplers
  • Radio technology devices

    are complex, frequency dependent, numbers. The zeroes on the matrix main diagonal are a consequence of perfect matching – power input to any port is not

    Power dividers and directional couplers

    Power dividers and directional couplers

    Power_dividers_and_directional_couplers

  • Tangential polygon
  • Convex polygon that contains an inscribed circle

    vertices of the reference triangle. In a tangential hexagon ABCDEF, the main diagonals AD, BE, and CF are concurrent according to Brianchon's theorem. Circumgon

    Tangential polygon

    Tangential polygon

    Tangential_polygon

AI & ChatGPT searchs for online references containing MAIN DIAGONAL

MAIN DIAGONAL

AI search references containing MAIN DIAGONAL

MAIN DIAGONAL

  • MAIR
  • Female

    Welsh

    MAIR

    Welsh form of Greek Maria, MAIR means "obstinacy, rebelliousness" or "their rebellion."

    MAIR

  • Main
  • Boy/Male

    Arabic, Muslim

    Main

    Benefit

    Main

  • Dain
  • Surname or Lastname

    English

    Dain

    English : nickname from Middle English digne, deyne ‘worthy’, ‘honorable’, or alternatively, as Reaney suggests, from Middle English dain(e) ‘haughty’, ‘reserved’ (Burgundian French doigne).English : variant of Dean.English : variant of Dane.French : nickname from Old French dain ‘agile’, ‘nimble’.Jewish : variant of Dayan.

    Dain

  • Maia
  • Girl/Female

    French American Greek Hebrew Latin

    Maia

    May. In Roman mythology Maia: (source of the month May) was goddess of spring growth.

    Maia

  • Mazin
  • Boy/Male

    Muslim/Islamic

    Mazin

    Cloud that carries rain

    Mazin

  • MAIA
  • Female

    Greek

    MAIA

    (Μαία) Greek name MAIA means "nursing mother." In mythology, this is the name of the eldest of the Pleiades and mother of Hermês by Zeus. 

    MAIA

  • IAIN
  • Male

    Scottish

    IAIN

    Variant spelling of Scottish Gaelic Ian, IAIN means "God is gracious."

    IAIN

  • MAI
  • Female

    Japanese

    MAI

    (舞) Japanese name MAI means "dance." Compare with another form of Mai.

    MAI

  • MALIN
  • Female

    Swedish

    MALIN

    Swedish contracted form of Latin Magdalena, MALIN means "of Magdala."

    MALIN

  • RAIN
  • Female

    English

    RAIN

    Modern English name, either derived from from the vocabulary word, or a revival of the medieval English personal name Rayne, RAIN means "queen." Compare with masculine Rain.

    RAIN

  • MAI
  • Female

    Vietnamese

    MAI

     Vietnamese name MAI means "golden flower." Compare with another form of Mai.

    MAI

  • Mann
  • Surname or Lastname

    English, German, Dutch (De Mann), and Jewish (Ashkenazic)

    Mann

    English, German, Dutch (De Mann), and Jewish (Ashkenazic) : nickname for a fierce or strong man, or for a man contrasted with a boy, from Middle English, Middle High German, Middle Dutch man. In some cases it may have arisen as an occupational name for a servant, from the medieval use of the term to describe a person of inferior social status. The Jewish surname can be ornamental.English and German : from a Germanic personal name, found in Old English as Manna. This originated either as a byname or else as a short form of a compound name containing this element, such as Hermann.Jewish (Ashkenazic) : from the Yiddish male personal name Man (cognate with 1).Indian (Panjab) : Hindu (Jat) and Sikh name of unknown meaning.

    Mann

  • Mazin
  • Girl/Female

    Indian

    Mazin

    Proper name, Cloud that carries rain

    Mazin

  • MANI
  • Male

    Hebrew

    MANI

    (מָנִי) Pet form of Hebrew Menashsheh, MANI means "causing to forget" or "one who forgets." Compare with another form of Mani.

    MANI

  • Cain
  • Surname or Lastname

    Scottish

    Cain

    Scottish : Anglicized form of Gaelic Mac Iain, patronymic from Iain, one of the Gaelic forms of John. This name is found in many other spellings, including McCain, Kean, and McKean. In some cases it may also be a variant of Coyne.English : variant spelling of Cane.English (of Norman origin) : habitational name from Caen in Calvados, France, named with the Gaulish elements catu ‘battle’ + magos ‘field’, ‘plain’.French (Caïn) : from the Biblical name Cain (Hebrew Qayin), probably applied as a derogatory nickname for someone who was considered to be treacherous.Spanish (Caín) : habitational name from a place called Caín in León.

    Cain

  • MANN
  • Male

    German

    MANN

    German byname MANN means "a fierce strong man" or simply "man."

    MANN

  • MANI
  • Male

    Hindi/Indian

    MANI

    (मणि) Hindi name MANI means "jewel." Compare with another form of Mani.

    MANI

  • MARIN
  • Male

    French

    MARIN

    French form of Roman Latin Marinus, MARIN means "of the sea."

    MARIN

  • Mazin
  • Boy/Male

    Arabic, Hindu, Indian, Muslim, Sindhi

    Mazin

    Cloud that Carries Rain; Prophet Name; Rain Clouds

    Mazin

  • Mains
  • Surname or Lastname

    Scottish and northern English

    Mains

    Scottish and northern English : topographic name for a dweller at the chief farm (or home farm) on an estate, Scottish mains, or a habitational name from any of the various minor places named with this word (originally a shortened form of domain, later associated with the adjective main ‘principal’).English and Scottish : variant of Main 1–4.

    Mains

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MAIN DIAGONAL

Online names & meanings

  • Wais
  • Boy/Male

    Indian

    Wais

    King

  • AbdulBasit
  • Boy/Male

    Arabic

    AbdulBasit

    Servant of the Extender; Creator

  • Venkateswarlu
  • Boy/Male

    Hindu, Indian

    Venkateswarlu

    Lord Vishnu

  • Anbar
  • Girl/Female

    Indian

    Anbar

    Perfume, Ambergris

  • Sumler
  • Surname or Lastname

    English

    Sumler

    English : unexplained.

  • EIRA
  • Female

    Norse

    EIRA

     Variant form of Old Norse Eir, EIRA means "help, mercy." Compare with another form of Eira.

  • Mochni
  • Boy/Male

    Native American

    Mochni

    Talking bird.

  • Susmera | ஸுஸ்மேரா
  • Girl/Female

    Tamil

    Susmera | ஸுஸ்மேரா

    Full of smiles

  • Khan
  • Boy/Male

    Afghan, Arabic, German, Hebrew, Muslim, Vietnamese

    Khan

    With Raising Tone; Audience

  • Luda
  • Girl/Female

    Russian

    Luda

    Love of the people.

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AI searchs for Acronyms & meanings containing MAIN DIAGONAL

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Other words and meanings similar to

MAIN DIAGONAL

AI search in online dictionary sources & meanings containing MAIN DIAGONAL

MAIN DIAGONAL

  • Main
  • n.

    A main-hamper.

  • Vain
  • n.

    Vanity; emptiness; -- now used only in the phrase in vain.

  • Gain
  • n.

    To come off winner or victor in; to be successful in; to obtain by competition; as, to gain a battle; to gain a case at law; to gain a prize.

  • Maia
  • n.

    A genus of spider crabs, including the common European species (Maia squinado).

  • Gain
  • n.

    To reach; to attain to; to arrive at; as, to gain the top of a mountain; to gain a good harbor.

  • Gain
  • v. i.

    To have or receive advantage or profit; to acquire gain; to grow rich; to advance in interest, health, or happiness; to make progress; as, the sick man gains daily.

  • Maid
  • n.

    A man who has not had sexual intercourse.

  • Main
  • a.

    Very; extremely; as, main heavy.

  • Mail
  • v. t.

    To deliver into the custody of the postoffice officials, or place in a government letter box, for transmission by mail; to post; as, to mail a letter.

  • Maian
  • n.

    Any spider crab of the genus Maia, or family Maiadae.

  • Man
  • n.

    A married man; a husband; -- correlative to wife.

  • Mail
  • v. t.

    To arm with mail.

  • Rain
  • v. t.

    To pour or shower down from above, like rain from the clouds.

  • Vain
  • superl.

    Destitute of forge or efficacy; effecting no purpose; fruitless; ineffectual; as, vain toil; a vain attempt.

  • Maia
  • n.

    A beautiful American bombycid moth (Eucronia maia).

  • Mail
  • n.

    That which comes in the mail; letters, etc., received through the post office.

  • Main
  • v.

    The chief or principal part; the main or most important thing.

  • Rain
  • v. t.

    To bestow in a profuse or abundant manner; as, to rain favors upon a person.

  • Rain-tight
  • a.

    So tight as to exclude rain; as, a rain-tight roof.

  • Main
  • v.

    principal duct or pipe, as distinguished from lesser ones; esp. (Engin.), a principal pipe leading to or from a reservoir; as, a fire main.