| Version: | 1.0.0 |
| Date: | 2022-07-20 |
| Title: | Normalize Hadamard Matrix |
| Author: | Baidya Nath Mandal [aut, cre] |
| Maintainer: | Baidya Nath Mandal <mandal.stat@gmail.com> |
| Depends: | R (≥ 4.2.0) |
| Suggests: | HadamardR |
| Description: | Normalize a given Hadamard matrix. A Hadamard matrix is said to be normalized when its first row and first column entries are all 1, see Hedayat, A. and Wallis, W. D. (1978) "Hadamard matrices and their applications. The Annals of Statistics, 1184-1238." <doi:10.1214/aos/1176344370>. |
| License: | GPL-2 | GPL-3 [expanded from: GPL (≥ 2)] |
| NeedsCompilation: | no |
| Packaged: | 2022-07-20 05:27:10 UTC; b |
| Repository: | CRAN |
| Date/Publication: | 2022-07-21 12:30:02 UTC |
How many elements are TRUE in a logical vector
Description
This function finds number of elements which are TRUE in a logical vector
Usage
how.many(x)Arguments
x |
A logical vector |
Value
A non-negative integer of length 1.
Author(s)
Baidya Nath Mandal <mandal.stat@gmail.com>
Examples
x <- c(1,-1,1,-1,1,-1)
how.many(x == -1)
how.many(seq(1,7,2) == 3)
Normalized Hadamard Matrix
Description
Checks whether a Hadamard matrix is normalized or not.
Usage
is.normalized(H)Arguments
H |
A Hadamard matrix |
Value
Returns TRUE when the Hadamard matrix is normalized, otherwise returns FALSE.
Author(s)
Baidya Nath Mandal <mandal.stat@gmail.com>
Examples
h2 <- matrix(c(1,1,1,-1),nrow = 2)
is.normalized(h2)
h4 <-h2
is.normalized(h4)
h2 <- matrix(c(1,-1,1,1),nrow = 2)
is.normalized(h2)Normalized Hadamard Matrix
Description
Converts a given Hadamard matrix to its normalized form
Usage
normalizeH(H)Arguments
H |
A Hadamard matrix |
Value
A normalize Hadamard matrix of same dimension as the input matrix.
Author(s)
Baidya Nath Mandal <mandal.stat@gmail.com>
Examples
H = matrix(c(1,1,1,-1),nrow = 2)
normalizeH(H)
require(HadamardR)
h8 <- Hadamard_Matrix(8)
normalizeH(h8)