Search Results: Antidiagonal
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Main diagonal
Sabtu, 2025-06-14 13:47:54bottom-left diagonal is sometimes described as the minor diagonal or antidiagonal. The off-diagonal entries are those not on the main diagonal. A diagonal...
Click to read more »Lindelöf space
Senin, 2025-08-25 02:11:28y ) {\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...
Click to read more »Velella
Senin, 2026-06-01 09:22:53The individual colonies are asymmetrical, being either 'diagonal' or 'antidiagonal' (effectively, 'left-handed' or 'right-handed'; mirror images of each...
Click to read more »1000 (number)
Jumat, 2026-05-29 21:50:43Foundation. 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...
Click to read more »Monge array
Rabu, 2026-03-11 02:08:27equal 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...
Click to read more »Exchange matrix
Jumat, 2026-01-02 08:57:09special 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'...
Click to read more »Power dividers and directional couplers
Kamis, 2026-01-01 08:33:34port 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...
Click to read more »Alternating permutation
Senin, 2026-03-16 13:22:46OEIS: 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...
Click to read more »Square matrix
Senin, 2026-03-30 15:36:46square matrix from the top right to the bottom left corner is called antidiagonal or counterdiagonal. If all entries outside the main diagonal are zero...
Click to read more »Permutation matrix
Rabu, 2026-04-15 06:46:29permutation matrix in which there is at most one entry in each diagonal and antidiagonal Alternating sign matrix Exchange matrix Generalized permutation matrix...
Click to read more »300 (number)
Jumat, 2026-06-05 02:35:07Foundation. 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...
Click to read more »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...
Click to read more »Bernoulli number
Minggu, 2026-05-17 12:01:57OEIS: 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...
Click to read more »Parameter word
Minggu, 2026-02-01 12:28:45tic-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...
Click to read more »Centrosymmetric matrix
Selasa, 2025-12-23 11:06:17Alternatively, 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...
Click to read more »Wigner quasiprobability distribution
Rabu, 2026-05-27 20:59:25principle. The Wigner transformation is simply the Fourier transform of the antidiagonals of the density matrix, when that matrix is expressed in a position basis...
Click to read more »FOIL method
Kamis, 2026-04-09 01:22:22b)(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...
Click to read more »Unit fraction
Minggu, 2026-02-22 23:08:21a 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...
Click to read more »Rearrangement inequality
Sabtu, 2025-09-27 07:38:47area of your selection by taking the rectangles on the diagonal or the antidiagonal. The lower bound and the corresponding discussion of equality follow...
Click to read more »Hafnian
Rabu, 2026-06-03 16:31:29z_{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...
Click to read more »Linear complex structure
Sabtu, 2026-04-25 07:18:29ie_{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...
Click to read more »Complexification (Lie group)
Minggu, 2026-05-17 09:57:33automorphisms 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...
Click to read more »Delannoy number
Senin, 2025-11-10 05:43:40A008288 (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...
Click to read more »Graham–Rothschild theorem
Rabu, 2026-04-01 06:52:40related 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}...
Click to read more »Hermitian symmetric space
Minggu, 2026-05-17 06:48:29fixed 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...
Click to read more »Walsh matrix
Senin, 2025-10-13 08:20:09binary Walsh matrices read as reverse binary numbers OEIS: A197818 – antidiagonals of the negated binary Walsh matrix read as binary numbers Kanjilal,...
Click to read more »David P. Robbins Prize
Senin, 2026-04-13 13:28:43Ilse Fischer and Matjaž Konvalinka for their paper "Diagonally and antidiagonally symmetric alternating sign matrices of odd order", Advances in Mathematics...
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