plot

README.rst

@@ -24,25 +24,11 @@ A python package to generate a set of orthogonal functions.
 * `API Reference <https://ameli.github.io/ortho/api.html>`_
 * `Github <https://ameli.github.io/ortho>`_
 
----------------------
-Build and Test Status
----------------------
-
-|codecov-devel| 
-
-==============  ==================  ===============
-Platform        Python versions     Build status
-==============  ==================  ===============
-Linux (Ubuntu)  3.6, 3.7, 3.8, 3.9  |build-linux|
-macOS           3.6, 3.7, 3.8, 3.9  |build-macos|
-Windows         3.6, 3.7, 3.8, 3.9  |build-windows|
-==============  ==================  ===============
-
 -----------
 Description
 -----------
 
-This package generates a set of orthonormal functions, called |image01|, based on the set of non-orthonormal functions |image02| defined by
+This package generates a set of orthonormal functions, called |image01|, based on the set of non-orthonormal functions |image02| defined by the inverse-monomials
 
 |image11|
 
@@ -56,6 +42,20 @@ The functions |image01| are orthonormal in the interval |image03| with respect t
 
 where |image05| is the Kronecker delta function. The orthogonal functions are generated by `Gram-Schmidt orthogonalization process <https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process>`__. This script produces the symbolic functions using `Sympy <https://www.sympy.org>`__, a Python computer algebraic package. An application of these orthogonal functions can be found in [Ameli-2022]_.
 
+---------------------
+Build and Test Status
+---------------------
+
+|codecov-devel| 
+
+==============  ==================  ===============
+Platform        Python versions     Build status
+==============  ==================  ===============
+Linux (Ubuntu)  3.6, 3.7, 3.8, 3.9  |build-linux|
+macOS           3.6, 3.7, 3.8, 3.9  |build-macos|
+Windows         3.6, 3.7, 3.8, 3.9  |build-windows|
+==============  ==================  ===============
+
 -------
 Install
 -------
@@ -325,7 +325,7 @@ Output
 
 -  Plots the set of functions (using option ``-p``) and saves the plot in the current directory. An example of a generated plot is shown below.
 
-.. image:: https://raw.githubusercontent.com/ameli/ortho/main/docs/source/images/ortho.svg
+.. image:: https://raw.githubusercontent.com/ameli/ortho/main/docs/source/images/orthogona_functions.svg
     :align: center
 
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