# hadamard matrix sentence in Hindi

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- :Given an Hadamard matrix of order 4 " a " in standardized form, remove the first row and first column and convert every " 1 to a 0.
- This construction is reversible, and the incidence matrix of a symmetric 2-design with these parameters can be used to form an Hadamard matrix of size 4 " a ".
- This construction is reversible, and the incidence matrix of a symmetric 2-design with these parameters can be used to form an Hadamard matrix of order 4 " a ".
- An Hadamard matrix can be put into " standardized form " ( that is, converted to an equivalent Hadamard matrix ) where the first row and first column entries are all + 1.
- An Hadamard matrix can be put into " standardized form " ( that is, converted to an equivalent Hadamard matrix ) where the first row and first column entries are all + 1.
- Now, we need to show that the matrix \ mathit { E _ c } whose rows are the nonzero codewords, constitutes a cyclic core for some complex Hadamard matrix \ mathit { H }.
- It is a 2 & times; 2 Hadamard matrix, and its rows form the basis of a diagonal square lattice consisting of the integer points whose coordinates both have the same body-centered cubic lattice.
- *PM : proof that Hadamard matrix has order 1 or 2 or 4n, id = 9095 new !-- WP guess : proof that Hadamard matrix has order 1 or 2 or 4n-- Status:
- *PM : proof that Hadamard matrix has order 1 or 2 or 4n, id = 9095 new !-- WP guess : proof that Hadamard matrix has order 1 or 2 or 4n-- Status:
- Reid and Brown in 1972 showed that there exists a " doubly regular tournament of order " n " " if and only if there exists a skew Hadamard matrix of order " n " + 1.
- This is stuck in directly between " This suggests using a . . . " and " . . . resolvent cubic whose roots may be variously described as a discrete Fourier transform or a Hadamard matrix transform . . ."
- To get the punctured Hadamard code above with n = 2 ^ { k-1 }, the chosen Hadamard matrix " H " has to be of Sylvester type, which gives rise to a message length of \ log _ 2 ( 2n ) = k.
- A generalization of Sylvester's construction proves that if H _ n and H _ m are Hadamard matrices of orders " n " and " m " respectively, then H _ n \ otimes H _ m is a Hadamard matrix of order " nm ".
- Note that any complex Hadamard matrix H can be made into a unitary matrix by multiplying it by \ frac { 1 } { \ sqrt { N } }; conversely, any unitary matrix whose entries all have modulus \ frac { 1 } { \ sqrt { N } } becomes a complex Hadamard upon multiplication by \ sqrt { N }.
- In 1933, Raymond Paley discovered the Paley construction, which produces a Hadamard matrix of order " q " + 1 when " q " is any congruent to 3 modulo 4 and that produces a Hadamard matrix of order 2 ( " q " + 1 ) when " q " is a prime power that is congruent to 1 modulo 4.
- In 1933, Raymond Paley discovered the Paley construction, which produces a Hadamard matrix of order " q " + 1 when " q " is any congruent to 3 modulo 4 and that produces a Hadamard matrix of order 2 ( " q " + 1 ) when " q " is a prime power that is congruent to 1 modulo 4.

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