Updated github documentation

README.md

@@ -41,9 +41,9 @@ This app is not only for students. Anyone who enjoys mathematics or requires mor
 For more screenshots, see directory images/screenshots.
 
 ## Documentation
-* [Supported Functions Overview](http://htmlpreview.github.io/?https://github.com/mkulesh/microMathematics/blob/master/doc/html/functions_overview.html)
-* [Supported Units Overview](http://htmlpreview.github.io/?https://github.com/mkulesh/microMathematics/blob/master/doc/html/units_overview.html)
-* [Supported Units Of Information](http://htmlpreview.github.io/?https://github.com/mkulesh/microMathematics/blob/master/doc/html/units_of_information.html)
+* [Supported Functions Overview](https://htmlpreview.github.io/?https://github.com/mkulesh/microMathematics/blob/master/doc/html/functions_overview.html)
+* [Supported Units Overview](https://htmlpreview.github.io/?https://github.com/mkulesh/microMathematics/blob/master/doc/html/units_overview.html)
+* [Supported Units Of Information](https://htmlpreview.github.io/?https://github.com/mkulesh/microMathematics/blob/master/doc/html/units_of_information.html)
 * [The latest PDF version of the User Manual](https://docs.google.com/viewer?url=https://github.com/mkulesh/microMathematics/raw/supplement/doc/microMathematics-v2.22.1.pdf)
 
 ## Posts on Habr (in Russian)
@@ -54,11 +54,10 @@ For more screenshots, see directory images/screenshots.
 
 ## Reviews and publications:
 
-* [Press Release: Introducing microMathematics: the First Spreadsheet Oriented Mathematical Calculator for Android](http://www.androidappsreview.com/2014/09/29/micro-mathematics-press-release/)
-* [Advanced calculator to solve the most complex mathematical equations smart phone](http://mn1professional.blogspot.de/2015/12/advanced-calculator-to-solve-most.html)
-* [«Микро-математика»: формулы — это просто (in Russian)](http://4pda.ru/2015/09/01/241701/)
+* [Advanced calculator to solve the most complex mathematical equations smart phone](https://mn1professional.blogspot.de/2015/12/advanced-calculator-to-solve-most.html)
+* [«Микро-математика»: формулы — это просто (in Russian)](https://4pda.to/2015/09/01/241701/)
 * [microMathematics — отличный научный калькулятор и графопостроитель на Android (in Russian)](https://lifehacker.ru/2015/10/21/micro-mathematics/)
-* [MathCAD для Android..? (In Russian)](http://svchushki.blogspot.de/2017/04/mathcad-android.html)
+* [MathCAD для Android..? (In Russian)](https://svchushki.blogspot.de/2017/04/mathcad-android.html)
 * [Micro Mathematics : Android Math Book Demo (Video)](https://www.youtube.com/watch?v=eUzF1gXd6rc&feature=player_embedded)
 * [How to Use microMathematics (Video)](https://www.youtube.com/watch?v=-gS3lz6Ijdc&feature=player_embedded)
 

app/src/main/java/com/mkulesh/micromath/io/ExportToMathJax.java

@@ -64,7 +64,7 @@ public void write(FormulaList formulas) throws Exception
         writer.append("  MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$']]}});\n");
         writer.append("</script>\n");
         writer.append("<script type=\"text/javascript\"\n");
-        writer.append("  src=\"http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML\">\n");
+        writer.append("  src=\"https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML\">\n");
         writer.append("</script>\n");
         writer.append("<style>\n");
         writer.append("  td { margin: 0px; padding: 0px 10px 0px 10px; }\n");

doc/html/functions_overview.html

@@ -546,26 +546,80 @@ <h4>12 Arrays</h4>
   <td>$$G2_{n,\, m}  = \begin{bmatrix}0.042&0.063&0.084&0.105&0.125&0.146&\dots&-0.876\\0.063&0.084&0.105&0.125&0.146&0.167&\dots&-0.886\\0.084&0.105&0.125&0.146&0.167&0.187&\dots&-0.896\\0.105&0.125&0.146&0.167&0.187&0.208&\dots&-0.905\\0.125&0.146&0.167&0.187&0.208&0.228&\dots&-0.914\\0.146&0.167&0.187&0.208&0.228&0.249&\dots&-0.922\\\dots&\dots&\dots&\dots&\dots&\dots&\dots&\dots\\0.855&0.844&0.833&0.821&0.809&0.797&\dots&0.0\\\end{bmatrix}$$</td>
 </tr></table><br>
 
-<p>Get count of rows and columns</p>
+<p>Define an array as vector or matrix, use
+object properties to change the array size:</p>
 
 <table border = "0" cellspacing="0" cellpadding="0"><tr>
-  <td>$$rows \left( G2\right)  = 101.0$$</td>
-  <td>$$cols \left( G2\right)  = 201.0$$</td>
+  <td>$$E := \begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}$$</td>
+  <td>$$E = \begin{bmatrix}1.0&0.0&0.0\\0.0&1.0&0.0\\0.0&0.0&1.0\\\end{bmatrix}$$</td>
 </tr></table><br>
 
-<p>Define an array as vector or matrix, use object
-properties to change the array size:</p>
+<h4>13 Signal processing</h4>
+
+<p>Read a matrix fom an ASCII CSV file: </p>
 
 <table border = "0" cellspacing="0" cellpadding="0"><tr>
-  <td>$$E := \begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}$$</td>
-  <td>$$E = \begin{bmatrix}1.0&0.0&0.0\\0.0&1.0&0.0\\0.0&0.0&1.0\\\end{bmatrix}$$</td>
+  <td>$$F := read \left( asset:/examples/three\_component\_signal.dat\right) $$</td>
+</tr></table><br>
+
+<p>Get count of rows and columns:</p>
+
+<table border = "0" cellspacing="0" cellpadding="0"><tr>
+  <td>$$rows \left( F\right)  = 2000.0$$</td>
+  <td>$$cols \left( F\right)  = 4.0$$</td>
+</tr></table><br>
+
+<p>Extract and expand the second column to have
+a length equal power of 2:</p>
+
+<table border = "0" cellspacing="0" cellpadding="0"><tr>
+  <td>$$N := 2048$$</td>
+  <td>$$k := \left[ 0,\, 1 \,..\, N - 1 \right]$$</td>
+</tr></table><br>
+
+<table border = "0" cellspacing="0" cellpadding="0"><tr>
+  <td>$$D_{k}  := if \left( k < rows \left( F\right) ,\, F_{k,\, 1} ,\, 0\right) $$</td>
+</tr></table><br>
+
+<table border = "0" cellspacing="0" cellpadding="0"><tr>
+  <td><img src="functions_overview_fig3.png"alt="Image"></td>
+</tr></table><br>
+
+<p>Calculate the fast Fourier transform (when
+the given array has the length equal to
+power of 2) or a  continuous (slow) Fourier
+transform for other array length:</p>
+
+<table border = "0" cellspacing="0" cellpadding="0"><tr>
+  <td>$$FT := fft \left( D\right) $$</td>
 </tr></table><br>
 
-<h4>13 Output radix</h4>
+<table border = "0" cellspacing="0" cellpadding="0"><tr>
+  <td><img src="functions_overview_fig4.png"alt="Image"></td>
+</tr></table><br>
+
+<p>Calculate the fast inverse Fourier transform
+(when the given array has the length equal
+to power of 2) or a  continuous inverse
+Fourier transform for other array length:</p>
+
+<table border = "0" cellspacing="0" cellpadding="0"><tr>
+  <td>$$F := ifft \left( FT\right) $$</td>
+</tr></table><br>
+
+<table border = "0" cellspacing="0" cellpadding="0"><tr>
+  <td><img src="functions_overview_fig5.png"alt="Image"></td>
+</tr></table><br>
+
+<h4>14 Output format</h4>
+
+<p>Using result property dialog, it is possible
+to change the format of the result field: </p>
+
+<p>14.1 Radix</p>
 
-<p>Using result property dialog, it is possible to change
-the radix for integer results, for example use binary,
-octal or hexadecimal bases:</p>
+<p>Use a radix for integer results, for example
+use binary, octal or hexadecimal bases:</p>
 
 <table border = "0" cellspacing="0" cellpadding="0"><tr>
   <td>$$M := 254$$</td>
@@ -577,4 +631,22 @@ <h4>13 Output radix</h4>
   <td>$$M = fe$$</td>
 </tr></table><br>
 
+<p>14.1 Fraction</p>
+
+<p>Show a fraction for the floating results:</p>
+
+<table border = "0" cellspacing="0" cellpadding="0"><tr>
+  <td>$$F := 4 + 1 / 45$$</td>
+</tr></table><br>
+
+<table border = "0" cellspacing="0" cellpadding="0"><tr>
+  <td>As a "raw" number:</td>
+  <td>$$F = 4.02222$$</td>
+</tr></table><br>
+
+<table border = "0" cellspacing="0" cellpadding="0"><tr>
+  <td>As a fraction:</td>
+  <td>$$F = 4\ 1/45$$</td>
+</tr></table><br>
+
 </body></html>