Search Results: Antidiagonal

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Main diagonal
Sabtu, 2025-06-14 13:47:54

bottom-left diagonal is sometimes described as the minor diagonal or antidiagonal. The off-diagonal entries are those not on the main diagonal. A diagonal...

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Lindelöf space
Senin, 2025-08-25 02:11:28

y ) {\displaystyle (x,y)} is on the antidiagonal. The thing to notice here is that each point on the antidiagonal is contained in exactly one set of the...

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Velella
Senin, 2026-06-01 09:22:53

The individual colonies are asymmetrical, being either 'diagonal' or 'antidiagonal' (effectively, 'left-handed' or 'right-handed'; mirror images of each...

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1000 (number)
Jumat, 2026-05-29 21:50:43

Foundation. Sloane, N. J. A. (ed.). "Sequence A332307 (Array read by antidiagonals: T(m,n) is the number of (undirected) Hamiltonian paths in the m X n...

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Monge array
Rabu, 2026-03-11 02:08:27

equal to the sum of the lower-left and upper-right elements (on the antidiagonal). This matrix is a Monge array: [ 10 17 13 28 23 17 22 16 29 23 24 28...

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Exchange matrix
Jumat, 2026-01-02 08:57:09

special cases of permutation matrices, where the 1 elements reside on the antidiagonal and all other elements are zero. In other words, they are 'row-reversed'...

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Power dividers and directional couplers
Kamis, 2026-01-01 08:33:34

port is not reflected back to that same port. The zeroes on the matrix antidiagonal are a consequence of perfect isolation between the input and isolated...

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Alternating permutation
Senin, 2026-03-16 13:22:46

OEIS: A155585. The absolute values of the increasing antidiagonals are OEIS: A008280. The sum of the antidiagonals is −OEIS: A163747 (n + 1). 2. The second column...

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Square matrix
Senin, 2026-03-30 15:36:46

square matrix from the top right to the bottom left corner is called antidiagonal or counterdiagonal. If all entries outside the main diagonal are zero...

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Permutation matrix
Rabu, 2026-04-15 06:46:29

permutation matrix in which there is at most one entry in each diagonal and antidiagonal Alternating sign matrix Exchange matrix Generalized permutation matrix...

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300 (number)
Jumat, 2026-06-05 02:35:07

Foundation. Sloane, N. J. A. (ed.). "Sequence A084192 (Array read by antidiagonals: T(n,k) = solution to postage stamp problem with n stamps and k denominations...

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Evaluation of binary classifiers
Minggu, 2026-02-22 16:01:43

+ FiC = 1, or (FP + FN)/(TP + TN + FP + FN) – this is the sum of the antidiagonal, divided by the total population. Cost-weighted fractions incorrect could...

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Bernoulli number
Minggu, 2026-05-17 12:01:57

OEIS: A155585. The absolute values of the increasing antidiagonals are OEIS: A008280. The sum of the antidiagonals is −OEIS: A163747 (n + 1). 2. The second column...

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Parameter word
Minggu, 2026-02-01 12:28:45

tic-tac-toe game is missing from this set of combinatorial lines: the antidiagonal line { 13 , 22 , 31 } {\displaystyle \{13,22,31\}} . It is possible to...

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Centrosymmetric matrix
Selasa, 2025-12-23 11:06:17

Alternatively, if J denotes the n × n exchange matrix with 1 on the antidiagonal and 0 elsewhere: J i , j = { 1 , i + j = n + 1 0 , i + j ≠ n + 1 {\displaystyle...

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Wigner quasiprobability distribution
Rabu, 2026-05-27 20:59:25

principle. The Wigner transformation is simply the Fourier transform of the antidiagonals of the density matrix, when that matrix is expressed in a position basis...

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FOIL method
Kamis, 2026-04-09 01:22:22

b)(cx + d), the terms of a given degree are found by adding along the antidiagonals: × c x d a x a c x 2 a d x b b c x b d {\displaystyle {\begin{array}{c|cc}\times...

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Unit fraction
Minggu, 2026-02-22 23:08:21

a square matrix in which the elements on the i {\displaystyle i} th antidiagonal all equal the unit fraction 1 / i {\displaystyle 1/i} . That is, it has...

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Rearrangement inequality
Sabtu, 2025-09-27 07:38:47

area of your selection by taking the rectangles on the diagonal or the antidiagonal. The lower bound and the corresponding discussion of equality follow...

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Hafnian
Rabu, 2026-06-03 16:31:29

z_{m})\\{\textrm {diag}}(z_{1},z_{2},\ldots ,z_{m})&0\end{pmatrix}}} be an antidiagonal block matrix composed of entries z j {\displaystyle z_{j}} (each one...

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Linear complex structure
Sabtu, 2026-04-25 07:18:29

ie_{1},ie_{2},\dots ,ie_{n}\right\}} , then the matrix for J is block-antidiagonal: J 2 n = [ 0 − I n I n 0 ] . {\displaystyle J_{2n}={\begin{bmatrix}0...

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Complexification (Lie group)
Minggu, 2026-05-17 09:57:33

automorphisms of SL(n,C). For Sp(n,C), let J be the n × n matrix with 1's on the antidiagonal and 0's elsewhere and set A = ( 0 J − J 0 ) . {\displaystyle \displaystyle...

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Delannoy number
Senin, 2025-11-10 05:43:40

A008288 (Square array of Delannoy numbers D(i,j) (i >= 0, j >= 0) read by antidiagonals)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Alladi...

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Graham–Rothschild theorem
Rabu, 2026-04-01 06:52:40

related by a group action that swaps the 1 and 3 characters (for the antidiagonal). The set of all combinatorial cubes of dimension d {\displaystyle d}...

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Hermitian symmetric space
Minggu, 2026-05-17 06:48:29

fixed points of involutions. Let J be the n × n matrix with 1's on the antidiagonal and 0's elsewhere and set A = ( 0 J − J 0 ) . {\displaystyle \displaystyle...

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Walsh matrix
Senin, 2025-10-13 08:20:09

binary Walsh matrices read as reverse binary numbers OEIS: A197818 – antidiagonals of the negated binary Walsh matrix read as binary numbers Kanjilal,...

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David P. Robbins Prize
Senin, 2026-04-13 13:28:43

Ilse Fischer and Matjaž Konvalinka for their paper "Diagonally and antidiagonally symmetric alternating sign matrices of odd order", Advances in Mathematics...

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