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replaced TeX formulas by HTML formulas 

git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@729770 13f79535-47bb-0310-9956-ffa450edef68
This commit is contained in:
Luc Maisonobe 2008-12-28 20:21:27 +00:00
parent dff725b2e8
commit ed35ae3dee
2 changed files with 10 additions and 10 deletions
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4
src/java/org/apache/commons/math/transform/FastCosineTransformer.java
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@ -90,7 +90,7 @@ public class FastCosineTransformer implements RealTransformer {
/**
* Transform the given real data set.
* <p>
* The formula is F<sub>n</sub> = \sqrt{1/2N} [f<sub>0</sub> + (-1)<sup>n</sup> f<sub>N</sub>] +
* The formula is F<sub>n</sub> = &radic;(1/2N) [f<sub>0</sub> + (-1)<sup>n</sup> f<sub>N</sub>] +
* &radic;(2/N) &sum;<sub>k=1</sub><sup>N-1</sup> f<sub>k</sub> cos(&pi; nk/N)
* </p>
*
@ -107,7 +107,7 @@ public class FastCosineTransformer implements RealTransformer {
/**
* Transform the given real function, sampled on the given interval.
* <p>
* The formula is F<sub>n</sub> = \sqrt{1/2N} [f<sub>0</sub> + (-1)<sup>n</sup> f<sub>N</sub>] +
* The formula is F<sub>n</sub> = &radic;(1/2N) [f<sub>0</sub> + (-1)<sup>n</sup> f<sub>N</sub>] +
* &radic;(2/N) &sum;<sub>k=1</sub><sup>N-1</sup> f<sub>k</sub> cos(&pi; nk/N)
*
* </p>

16
src/java/org/apache/commons/math/transform/FastSineTransformer.java
View File

@ -52,7 +52,7 @@ public class FastSineTransformer implements RealTransformer {
/**
* Transform the given real data set.
* <p>
* The formula is $ F_n = \Sigma_{k=0}^{N-1} f_k \sin(\pi nk/N) $
* The formula is F<sub>n</sub> = &sum;<sub>k=0</sub><sup>N-1</sup> f<sub>k</sub> sin(&pi; nk/N)
* </p>
*
* @param f the real data array to be transformed
@ -67,7 +67,7 @@ public class FastSineTransformer implements RealTransformer {
/**
* Transform the given real function, sampled on the given interval.
* <p>
* The formula is $ F_n = \Sigma_{k=0}^{N-1} f_k \sin(\pi nk/N) $
* The formula is F<sub>n</sub> = &sum;<sub>k=0</sub><sup>N-1</sup> f<sub>k</sub> sin(&pi; nk/N)
* </p>
*
* @param f the function to be sampled and transformed
@ -91,7 +91,7 @@ public class FastSineTransformer implements RealTransformer {
/**
* Transform the given real data set.
* <p>
* The formula is $ F_n = \sqrt{2/N} \Sigma_{k=0}^{N-1} f_k \sin(\pi nk/N) $
* The formula is F<sub>n</sub> = &radic;(2/N) &sum;<sub>k=0</sub><sup>N-1</sup> f<sub>k</sub> sin(&pi; nk/N)
* </p>
*
* @param f the real data array to be transformed
@ -107,7 +107,7 @@ public class FastSineTransformer implements RealTransformer {
/**
* Transform the given real function, sampled on the given interval.
* <p>
* The formula is $ F_n = \sqrt{2/N} \Sigma_{k=0}^{N-1} f_k \sin(\pi nk/N) $
* The formula is F<sub>n</sub> = &radic;(2/N) &sum;<sub>k=0</sub><sup>N-1</sup> f<sub>k</sub> sin(&pi; nk/N)
* </p>
*
* @param f the function to be sampled and transformed
@ -132,7 +132,7 @@ public class FastSineTransformer implements RealTransformer {
/**
* Inversely transform the given real data set.
* <p>
* The formula is $ f_k = (2/N) \Sigma_{n=0}^{N-1} F_n \sin(\pi nk/N) $
* The formula is f<sub>k</sub> = (2/N) &sum;<sub>n=0</sub><sup>N-1</sup> F<sub>n</sub> sin(&pi; nk/N)
* </p>
*
* @param f the real data array to be inversely transformed
@ -148,7 +148,7 @@ public class FastSineTransformer implements RealTransformer {
/**
* Inversely transform the given real function, sampled on the given interval.
* <p>
* The formula is $ f_k = (2/N) \Sigma_{n=0}^{N-1} F_n \sin(\pi nk/N) $
* The formula is f<sub>k</sub> = (2/N) &sum;<sub>n=0</sub><sup>N-1</sup> F<sub>n</sub> sin(&pi; nk/N)
* </p>
*
* @param f the function to be sampled and inversely transformed
@ -172,7 +172,7 @@ public class FastSineTransformer implements RealTransformer {
/**
* Inversely transform the given real data set.
* <p>
* The formula is $ f_k = \sqrt{2/N} \Sigma_{n=0}^{N-1} F_n \sin(\pi nk/N) $
* The formula is f<sub>k</sub> = &radic;(2/N) &sum;<sub>n=0</sub><sup>N-1</sup> F<sub>n</sub> sin(&pi; nk/N)
* </p>
*
* @param f the real data array to be inversely transformed
@ -187,7 +187,7 @@ public class FastSineTransformer implements RealTransformer {
/**
* Inversely transform the given real function, sampled on the given interval.
* <p>
* The formula is $ f_k = \sqrt{2/N} \Sigma_{n=0}^{N-1} F_n \sin(\pi nk/N) $
* The formula is f<sub>k</sub> = &radic;(2/N) &sum;<sub>n=0</sub><sup>N-1</sup> F<sub>n</sub> sin(&pi; nk/N)
* </p>
*
* @param f the function to be sampled and inversely transformed