Manuals/calci/hadamard - Revision history

Devika: /* See Also */

2019-04-09T18:47:26Z

Devika: /* Examples */

2018-04-09T19:37:38Z

Examples

Devika at 19:56, 6 June 2017

2017-06-06T19:56:07Z

Devika: Created page with "
'''MATRIX("HADAMARD",order)'''

* $order$ is the order of the hadamard matrix. ==Description== *This function gives the matrix..."

2017-06-06T19:42:18Z

Created page with "<div style="font-size:30px">'''MATRIX("HADAMARD",order)'''</div><br/> *<math>order</math> is the order of the hadamard matrix. ==Description== *This function gives the matrix..."

New page

<div style="font-size:30px">'''MATRIX("HADAMARD",order)'''</div><br/>
*<math>order</math> is the order of the hadamard matrix.

==Description==
*This function gives the matrix satisfying the property of Hadamard.
*A Hadamard matrix is the square matrix with the entries of 1 and -1.
*Also the rows of that matrix are orthogonal.
*So H be a Hadamard matrix of order 2n.
*The transpose of H is closely related to its inverse.
*The equivalent definition for hadamard matrix is:
<math>H H^{T} = n I_{n}</math>
where <math>I_{n}</math> is the n × n identity matrix and <math>H^T</math> is the transpose of H.
*So the possible order of the matrix is 1,2 or positive multiple of 4.
*The few examples of hadamard matrices are:
*<math>H_1=\begin{bmatrix}
1 \\
\end{bmatrix}</math>
*<math>H_2 = \begin{bmatrix}
1 & 1 \\
1 & -1 \\
\end{bmatrix}</math>
*<math>H_3 =\begin{bmatrix}
1 & 1 & 1 & 1 \\
1 & -1 & 1 & -1\\
1 & 1 & -1 & -1 \\
1 & -1 & -1 & 1\\
\end{bmatrix}</math>

@@ Line 60: / Line 60: @@
 |1 || -1 || -1||  1 ||	-1||1||	1||-1
 |}
 ==See Also==

@@ Line 29: / Line 29: @@
 ==Examples==
 . HADAMARD(1) = 1
 . HADAMARD(3)
 {| class="wikitable"

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''MATRIX("HADAMARD",order)'''</div><br/>
+<div style="font-size:30px">'''HADAMARD(Number)'''</div><br/>
-*<math>order</math> is the order of the hadamard matrix.
+*<math>Number</math> is the order of the hadamard matrix.
 ==Description==
@@ Line 26: / Line 26: @@
 & -1 & -1 & 1\\
 \end{bmatrix}</math>

Manuals/calci/hadamard - Revision history

Devika: /* See Also */

Devika: /* Examples */

Devika at 19:56, 6 June 2017

Devika: Created page with "'''MATRIX("HADAMARD",order)''' *order is the order of the hadamard matrix. ==Description== *This function gives the matrix..."

Devika: Created page with "
'''MATRIX("HADAMARD",order)'''

* $order$ is the order of the hadamard matrix. ==Description== *This function gives the matrix..."