summaryrefslogtreecommitdiff
path: root/getting-started-with-arrays
diff options
context:
space:
mode:
authorPuneeth Chaganti2010-12-01 16:51:35 +0530
committerPuneeth Chaganti2010-12-01 16:51:35 +0530
commitf3a34dfb4e879f3eb7274704f44546aac4add88f (patch)
tree1cb0a8cc5dbd5ee2b374350915ed2addfa0fb447 /getting-started-with-arrays
parent347866ed0d29db61ee062563b1e1616cfb85588c (diff)
downloadst-scripts-f3a34dfb4e879f3eb7274704f44546aac4add88f.tar.gz
st-scripts-f3a34dfb4e879f3eb7274704f44546aac4add88f.tar.bz2
st-scripts-f3a34dfb4e879f3eb7274704f44546aac4add88f.zip
Renamed all LOs to match with their names in progress.org.
Diffstat (limited to 'getting-started-with-arrays')
-rw-r--r--getting-started-with-arrays/quickref.tex14
-rw-r--r--getting-started-with-arrays/script.rst343
-rw-r--r--getting-started-with-arrays/slides.org135
-rw-r--r--getting-started-with-arrays/slides.tex284
4 files changed, 0 insertions, 776 deletions
diff --git a/getting-started-with-arrays/quickref.tex b/getting-started-with-arrays/quickref.tex
deleted file mode 100644
index 10714c4..0000000
--- a/getting-started-with-arrays/quickref.tex
+++ /dev/null
@@ -1,14 +0,0 @@
-Creating an array:\\
-{\ex \lstinline| a = array([[1,2,3,4],[5,6,7,8]])|}
-
-Finding shape of array:\\
-{\ex \lstinline| a.shape|}
-
-Reshape an array:\\
-{\ex \lstinline| a.reshape(4,2)|}
-
-Creating identity matrix:\\
-{\ex \lstinline| identity(3)|}
-
-Creating matrix with all zeros:\\
-{\ex \lstinline| z = zeros((4,2))|}
diff --git a/getting-started-with-arrays/script.rst b/getting-started-with-arrays/script.rst
deleted file mode 100644
index 65a9f93..0000000
--- a/getting-started-with-arrays/script.rst
+++ /dev/null
@@ -1,343 +0,0 @@
-.. Objectives
-.. ----------
-
-.. At the end of this tutorial, you will be able to
-
-.. 1. Create arrays using data
-.. #. Create arrays from lists
-.. #. Basic array operations
-.. #. Creating identity matrix using ``identity()`` function.
-.. #. Learn about ``zeros()``, ``zeros_like()``, ``ones()``,
- ``ones_like()`` functions.
-
-.. Prerequisites
-.. -------------
-
-.. 1. should have ``ipython`` and ``pylab`` installed.
-.. #. getting started with ``ipython``.
-.. #. getting started with lists.
-
-.. Author: Anoop Jacob Thomas <anoop@fossee.in>
- Internal Reviewer : Puneeth
- External Reviewer :
- Language Reviewer : Bhanukiran
- Checklist OK? : <11-11-2010,Anand, OK > [2010-10-05]
-
-===========================
-Getting started with Arrays
-===========================
-
-.. #[Puneeth: Prerequisites and Objectives are missing. Fill them in]
-
-{{{ show the welcome slide }}}
-
-Welcome to the spoken tutorial on getting started with arrays.
-
-{{{ switch to next slide, outline slide }}}
-
-In this tutorial, we will learn about the data structure called an array, how to convert
-a list into an array, operations on arrays and also why an array is preferred
-to lists.
-
-.. #[Puneeth: Fix the grammar above.]
-
-{{{ switch to next slide on overview of array }}}
-
-Arrays are homogeneous data structures. Unlike lists, arrays cannot have
-heterogeneous data elements, that is, they can have only one type of data
-as their entries, be them all integers, strings, or maybe floats, but not a mix.
-
-.. #[Puneeth: Use multiple short sentences, rather than one long sentence
- I would've written something like this.
-
- Unlike lists, arrays are homogeneous data structures. They can have only
- type of data, ....]
-
-Arrays of a given length are comparatively much faster in mathematical
-operations than lists of the same length, because of the fact that they are
-homogeneous data structures.
-
-.. #[Puneeth: For what size of an array is that the comparison?
-
-{{{ switch to the next slide, creating arrays }}}
-
-Now let us see how to create arrays.
-
-Run your IPython interpreter with ``-pylab`` option, to load the required
-modules to work with arrays.
-{{{ take terminal and run the following command }}}
-::
-
- ipython -pylab
-
-.. #[Puneeth: 'I am assuming' doesn't sound right. Ask them to open if it
-.. is not open?]
-
-To create an array we will use the function ``array()`` as,
-
-::
-
- a1 = array([1,2,3,4])
-
-Notice that we created a one dimensional array here. Also notice the object
-we passed to create an array. We passed a list to create an array.
-
-Now let us see how to create a two dimensional array. Pause here and try to
-do it yourself before looking at the solution.
-
-{{{ switch to next slide, creating two dimensional arrays }}}
-
-.. #[Puneeth: I don't think this question can be solved by an average
-.. viewer. Questions during the tutorial, should generally be to re-iterate
-.. concepts learnt? ]
-
-.. #[Puneeth: Also, you didn't even point out that we are converting a
-.. list, using the ``array`` function. Bring the later section about
-.. converting a list, here. A separate section is not necessary, IMHO.]
-
-We create two dimensional array by converting a list of lists to an array
-as,
-
-::
-
- a2 = array([[1,2,3,4],[5,6,7,8]])
-
-.. #[Puneeth: Again, you could explain a bit about the fact that we are
-.. converting a list of lists.]
-
-Now let us use ``arange()`` function to create the same array as before.
-
-::
-
- ar = arange(1,9)
-
-.. #[Puneeth: say, creating the same array as before. for some time I got
-.. confused .]
-
-And we obtained a one dimensional array with elements from 1 to 8.
-
-::
-
- print ar
-
-.. #[Puneeth: be consistent with voice. say, we obtained... or something.]
-
-And how can we make it a two dimensional array of order 2 by 4? Pause here
-and try to do it yourself, try ``ar.tab`` and find a suitable method for
-that.
-
-{{{ switch to next slide, reshape() method }}}
-
-We can use the function ``reshape()`` for that purpose and it can be done
-as,
-
-::
-
- ar.reshape(2,4)
- ar.reshape(4,2)
- ar = ar.reshape(2,4)
-
-{{{ switch to next slide, creating array from list}}}
-
-Now, let us see how to convert a list object to an array. As you have
-already seen, in both of the previous statements we have passed a list, so
-creating an array can be done so, first let us create a list ``l1``
-
-::
-
- l1 = [1,2,3,4]
-
-Now we can convert the list to an array as,
-
-::
-
- a3 = array(l1)
-
-
-{{{ switch to the next slide, problem statement of unsolved exercise 1 }}}
-
-Create a three dimensional array of the shape (2,2,4).
-
-.. #[Puneeth: s/order/shape or size ?]
-
-{{{ switch to the next slide, shape of an array }}}
-
-To find the shape of an array we can use the method ``.shape``, let us
-check the shape of the arrays we have created so far,
-
-.. #[Puneeth: s/object/method ?]
-
-::
-
- a2.shape
-
-``a2.shape`` object is a tuple, and it returned a tuple (2, 4).
-
-.. #[Puneeth: first show a 2D array, so that it becomes easier to explain.
-.. Also, the word ``tuple`` need not be mentioned. ]
-
-{{{ switch to the next slide, unsolved exercise 2 }}}
-
-Find out the shape of the other arrays that we have created.
-
-.. #[Puneeth: solution missing.]
-
-It can be done as,
-::
-
- a1.shape
- a3.shape
- ar.shape
-
-{{{ Array can have only a single type of data }}}
-
-.. #[Puneeth: I guess, this whole section can be skipped. If you want to
-.. keep this, just briefly mention that arrays are homogeneous in the
-.. intro, don't explain it there.]
-
-Now let us try to create a new array with a mix of elements and see what
-will happen,
-
-::
-
- a4 = array([1,2,3,'a string'])
-
-Well, we would expect an error as it has been previously mentioned that arrays handle
-elements with the same datatype, but it didn't raise an error. Let us check the values
-in the new array created. In your IPython terminal type,
-::
-
- a4
-
-Did you notice it,
-
-{{{ switch to next slide, implicit type casting }}}
-
-.. #[Puneeth: typecasting may be unnecessary. (Also too advanced?) an
-.. average guy wouldn't use arrays with strings.]
-
-.. #[Puneeth: You may want to mention that float is the default dtype.]
-
-{{{ highlight all the array elements one by one using mouse movements }}}
-
-all the elements have been implicitly type casted as strings, though our
-first three elements were meant to be integers.
-
-.. #[Puneeth: when I type a4 it says some ``dtype`` etc. I don't understand
-.. what it is, can you explain? ;)]
-
-{{{ switch to the next slide, identity & zeros methods }}}
-
-.. #[Puneeth: something needs to motivate this. why are we suddenly talking
-.. of an identity matrix?]
-
-Now let us see how to create an identity matrix of a given size, that is a
-two-dimensional array in which all the diagonal elements are ones and rest of the
-elements are zeros. We can create an identity matrix using the function
-``identity()``.
-
-The function ``identity()`` takes an integer argument which specifies the
-size of the desired matrix,
-
-::
-
- identity(3)
-
-As you can see the identity function returned a three by three square matrix
-with all the diagonal elements as ones and the rest of the elements as zeros.
-
-.. #[Puneeth: You say array here, matrix there -- it's a bit messed up.
-.. Clarify, explicitly.]
-
-``zeros()`` function accepts a tuple, which is the order of the array that we
-want to create, and it generates an array with all elements as zeros.
-
-{{{ switch to the next slide, problem statement of solved exercise 1 }}}
-
-Let us creates an array of the order four by five with all the elements
-zero. We can do it using the method zeros, ::
-
- zeros((4,5))
-
-Notice that we passed a tuple to the function zeros.
-
-{{{ switch to next slide, learning exercise }}}
-
-We learned two functions ``identity()`` and ``zeros()``, find out more
-about the functions ``zeros_like()``, ``ones()``, ``ones_like()``.
-
-{{{ switch to next slide, array operations }}}
-
-Try the following, first check the value of a1,
-::
-
- a1
-
-``a1`` is a single dimensional array, and now try,
-::
-
- a1 * 2
-
-It returned a new array with all the elements multiplied by 2.
-::
-
- a1
-
-note that the value of a1 still remains the same.
-
-Similarly with addition,
-::
-
- a1 + 2
-
-it returns a new array, with all the elements summed with two. But
-again notice that the value of a1 has not been changed.
-::
-
- a1
-
-You may change the value of a1 by simply assigning the newly returned
-array as,
-::
-
- a1 += 2
-
-Notice the change in elements of a,
-::
-
- a
-
-We can use all the mathematical operations with arrays, Now let us try this
-::
-
- a1 = array([1,2,3,4])
- a2 = array([1,2,3,4])
- a1 + a2
-
-Returns an array with element by element addition,
-::
-
- a1 * a2
-
-Returns an array with element by element multiplication, notice that it
-does not perform matrix multiplication.
-
-{{{ switch to next slide, summary slide }}}
-
-So this brings us to the end of this tutorial, in this tutorial we covered
-basics of arrays, learned how to create an array, saw how to convert a list
-to an array, and basic array operations etc.
-
-.. #[Puneeth: s/how to create an array/creating an array]
-
-{{{ switch to next slide, thank you }}}
-
-Thank you!
-
-..
- Local Variables:
- mode: rst
- indent-tabs-mode: nil
- sentence-end-double-space: nil
- fill-column: 75
- End:
diff --git a/getting-started-with-arrays/slides.org b/getting-started-with-arrays/slides.org
deleted file mode 100644
index a5b315f..0000000
--- a/getting-started-with-arrays/slides.org
+++ /dev/null
@@ -1,135 +0,0 @@
-#+LaTeX_CLASS: beamer
-#+LaTeX_CLASS_OPTIONS: [presentation]
-#+BEAMER_FRAME_LEVEL: 1
-
-#+BEAMER_HEADER_EXTRA: \usetheme{Warsaw}\usecolortheme{default}\useoutertheme{infolines}\setbeamercovered{transparent}
-#+COLUMNS: %45ITEM %10BEAMER_env(Env) %10BEAMER_envargs(Env Args) %4BEAMER_col(Col) %8BEAMER_extra(Extra)
-#+PROPERTY: BEAMER_col_ALL 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 :ETC
-
-#+LaTeX_CLASS: beamer
-#+LaTeX_CLASS_OPTIONS: [presentation]
-
-#+LaTeX_HEADER: \usepackage[english]{babel} \usepackage{ae,aecompl}
-#+LaTeX_HEADER: \usepackage{mathpazo,courier,euler} \usepackage[scaled=.95]{helvet}
-
-#+LaTeX_HEADER: \usepackage{listings}
-
-#+LaTeX_HEADER:\lstset{language=Python, basicstyle=\ttfamily\bfseries,
-#+LaTeX_HEADER: commentstyle=\color{red}\itshape, stringstyle=\color{darkgreen},
-#+LaTeX_HEADER: showstringspaces=false, keywordstyle=\color{blue}\bfseries}
-
-#+TITLE: Getting started with arrays
-#+AUTHOR: FOSSEE
-#+EMAIL: info@fossee.in
-#+DATE:
-
-#+DESCRIPTION:
-#+KEYWORDS:
-#+LANGUAGE: en
-#+OPTIONS: H:3 num:nil toc:nil \n:nil @:t ::t |:t ^:t -:t f:t *:t <:t
-#+OPTIONS: TeX:t LaTeX:nil skip:nil d:nil todo:nil pri:nil tags:not-in-toc
-
-* Outline
- - Arrays
- - why arrays over lists
- - Creating arrays
- - Array operations
-
-* Overview of Arrays
- - Arrays are homogeneous data structures.
- - elements have to the same data type
- - Arrays are faster compared to lists
- - at least /80-100 times/ faster than lists
-
-* Creating Arrays
- - Creating a 1-dimensional array
- : In []: a1 = array([1, 2, 3, 4])
- ~[1, 2, 3, 4]~ is a list.
-* Creating two-dimensional array
- - Creating a 2-dimensional array
- : In []: a2 = array([[1,2,3,4],[5,6,7,8]])
- here we convert a list of lists to an array making a 2-d array.
- - Using ~arange()~ function
- : In []: ar = arange(1,9)
-* ~reshape()~ method
- - To reshape an array
- : In []: ar.reshape(2, 4)
- : In []: ar.reshape(4, 2)
- : In []: ar = ar.reshape(2, 4)
-
-* Creating ~array~ from ~list~.
- - ~array()~ method accepts list as argument
- - Creating a list
- : In []: l1 = [1, 2, 3, 4]
- - Creating an array
- : In []: a3 = array(l1)
-
-* Exercise 1
- Create a 3-dimensional array of the order (2, 2, 4).
-
-* ~.shape~ of array
- - ~.shape~
- To find the shape of the array
- : In []: a2.shape
- - ~.shape~
- returns a tuple of shape
-* Exercise 2
- Find out the shape of the other arrays(a1, a3, ar) that we have created.
-* Homogeneous data
- - All elements in array should be of same type
- : In []: a4 = array([1,2,3,'a string'])
-* Implicit type casting
- : In []: a4
- All elements are type casted to string type
-* ~identity()~, ~zeros()~ methods
- - ~identity(n)~
- Creates an identity matrix, a square matrix of order (n, n) with diagonal elements 1 and others 0.
- - ~zeros((m, n))~
- Creates an ~m X n~ matrix with all elements 0.
-
-* Learning exercise
- - Find out about
- - ~zeros_like()~
- - ~ones()~
- - ~ones_like()~
-
-* Array operations
- - ~a1 * 2~
- returns a new array with all elements of ~a1~ multiplied by ~2~.
- - Similarly ~+~, ~-~ \& ~/~.
- - ~a1 + 2~
- returns a new array with all elements of ~a1~ summed with ~2~.
- - ~a1 += 2~
- adds ~2~ to all elements of array ~a1~.
- - Similarly ~-=~, ~*=~ \& ~/=~.
- - ~a1 + a2~
- does elements-wise addition.
- - Similarly ~-~, ~*~ \& ~/~.
- - ~a1 * a2~
- does element-wise multiplication
-
- *Note* - array(A) * array(B) does element wise multiplication and not matrix multiplication
-
-* Summary
- In this tutorial we covered,
- - Basics of arrays
- - Creating arrays
- - Arrays from lists
- - Basic array operations
-
-* Thank you!
-#+begin_latex
- \begin{block}{}
- \begin{center}
- This spoken tutorial has been produced by the
- \textcolor{blue}{FOSSEE} team, which is funded by the
- \end{center}
- \begin{center}
- \textcolor{blue}{National Mission on Education through \\
- Information \& Communication Technology \\
- MHRD, Govt. of India}.
- \end{center}
- \end{block}
-#+end_latex
-
-
diff --git a/getting-started-with-arrays/slides.tex b/getting-started-with-arrays/slides.tex
deleted file mode 100644
index 7273c59..0000000
--- a/getting-started-with-arrays/slides.tex
+++ /dev/null
@@ -1,284 +0,0 @@
-% Created 2010-11-07 Sun 15:18
-\documentclass[presentation]{beamer}
-\usepackage[latin1]{inputenc}
-\usepackage[T1]{fontenc}
-\usepackage{fixltx2e}
-\usepackage{graphicx}
-\usepackage{longtable}
-\usepackage{float}
-\usepackage{wrapfig}
-\usepackage{soul}
-\usepackage{t1enc}
-\usepackage{textcomp}
-\usepackage{marvosym}
-\usepackage{wasysym}
-\usepackage{latexsym}
-\usepackage{amssymb}
-\usepackage{hyperref}
-\tolerance=1000
-\usepackage[english]{babel} \usepackage{ae,aecompl}
-\usepackage{mathpazo,courier,euler} \usepackage[scaled=.95]{helvet}
-\usepackage{listings}
-\lstset{language=Python, basicstyle=\ttfamily\bfseries,
-commentstyle=\color{red}\itshape, stringstyle=\color{darkgreen},
-showstringspaces=false, keywordstyle=\color{blue}\bfseries}
-\providecommand{\alert}[1]{\textbf{#1}}
-
-\title{Getting started with arrays}
-\author{FOSSEE}
-\date{}
-
-\usetheme{Warsaw}\usecolortheme{default}\useoutertheme{infolines}\setbeamercovered{transparent}
-\begin{document}
-
-\maketitle
-
-
-
-
-
-
-
-
-
-\begin{frame}
-\frametitle{Outline}
-\label{sec-1}
-
-\begin{itemize}
-\item Arrays
-
-\begin{itemize}
-\item why arrays over lists
-\end{itemize}
-
-\item Creating arrays
-\item Array operations
-\end{itemize}
-\end{frame}
-\begin{frame}
-\frametitle{Overview of Arrays}
-\label{sec-2}
-
-\begin{itemize}
-\item Arrays are homogeneous data structures.
-
-\begin{itemize}
-\item elements have to the same data type
-\end{itemize}
-
-\item Arrays are faster compared to lists
-
-\begin{itemize}
-\item at least \emph{80-100 times} faster than lists
-\end{itemize}
-
-\end{itemize}
-\end{frame}
-\begin{frame}[fragile]
-\frametitle{Creating Arrays}
-\label{sec-3}
-
-\begin{itemize}
-\item Creating a 1-dimensional array
-\end{itemize}
-
-\begin{verbatim}
- In []: a1 = array([1, 2, 3, 4])
-\end{verbatim}
-
- \texttt{[1, 2, 3, 4]} is a list.
-\end{frame}
-\begin{frame}[fragile]
-\frametitle{Creating two-dimensional array}
-\label{sec-4}
-
-\begin{itemize}
-\item Creating a 2-dimensional array
-\end{itemize}
-
-\begin{verbatim}
- In []: a2 = array([[1,2,3,4],[5,6,7,8]])
-\end{verbatim}
-
- here we convert a list of lists to an array making a 2-d array.
-\begin{itemize}
-\item Easier method of creating array with consecutive elements.
-\end{itemize}
-
-\begin{verbatim}
- In []: ar = arange(1,9)
-\end{verbatim}
-\end{frame}
-\begin{frame}[fragile]
-\frametitle{\texttt{reshape()} method}
-\label{sec-5}
-
-\begin{itemize}
-\item To reshape an array
-\end{itemize}
-
-\begin{verbatim}
- In []: ar.reshape(2, 4)
- In []: ar.reshape(4, 2)
- In []: ar = ar.reshape(2, 4)
-\end{verbatim}
-\end{frame}
-\begin{frame}[fragile]
-\frametitle{Creating \texttt{array} from \texttt{list}.}
-\label{sec-6}
-
-\begin{itemize}
-\item \texttt{array()} method accepts list as argument
-\item Creating a list
-\begin{verbatim}
- In []: l1 = [1, 2, 3, 4]
-\end{verbatim}
-
-\item Creating an array
-\begin{verbatim}
- In []: a3 = array(l1)
-\end{verbatim}
-
-\end{itemize}
-\end{frame}
-\begin{frame}
-\frametitle{Exercise 1}
-\label{sec-7}
-
- Create a 3-dimensional array of the order (2, 2, 4).
-\end{frame}
-\begin{frame}[fragile]
-\frametitle{\texttt{.shape} of array}
-\label{sec-8}
-
-\begin{itemize}
-\item \texttt{.shape}
- To find the shape of the array
-\begin{verbatim}
- In []: a1.shape
-\end{verbatim}
-
-\item \texttt{.shape}
- returns a tuple of shape
-\end{itemize}
-\end{frame}
-\begin{frame}
-\frametitle{Exercise 2}
-\label{sec-9}
-
- Find out the shape of the other arrays(a2, a3, ar) that we have created.
-\end{frame}
-\begin{frame}[fragile]
-\frametitle{Homogeneous data}
-\label{sec-10}
-
-\begin{itemize}
-\item All elements in array should be of same type
-\begin{verbatim}
- In []: a4 = array([1,2,3,'a string'])
-\end{verbatim}
-
-\end{itemize}
-\end{frame}
-\begin{frame}[fragile]
-\frametitle{Implicit type casting}
-\label{sec-11}
-
-\begin{verbatim}
- In []: a4
-\end{verbatim}
-
- All elements are type casted to string type
-\end{frame}
-\begin{frame}
-\frametitle{\texttt{identity()}, \texttt{zeros()} methods}
-\label{sec-12}
-
-\begin{itemize}
-\item \texttt{identity(n)}
- Creates an identity matrix, a square matrix of order (n, n) with diagonal elements 1 and others 0.
-\item \texttt{zeros((m, n))}
- Creates an \texttt{m X n} matrix with all elements 0.
-\end{itemize}
-\end{frame}
-\begin{frame}
-\frametitle{Learning exercise}
-\label{sec-13}
-
-\begin{itemize}
-\item Find out about
-
-\begin{itemize}
-\item \texttt{zeros\_like()}
-\item \texttt{ones()}
-\item \texttt{ones\_like()}
-\end{itemize}
-
-\end{itemize}
-\end{frame}
-\begin{frame}
-\frametitle{Array operations}
-\label{sec-14}
-
-\begin{itemize}
-\item \texttt{a1 * 2}
- returns a new array with all elements of \texttt{a1} multiplied by \texttt{2}.
-
-\begin{itemize}
-\item Similarly \texttt{+}, \texttt{-} \& \texttt{/}.
-\end{itemize}
-
-\item \texttt{a1 + 2}
- returns a new array with all elements of \texttt{a1} summed with \texttt{2}.
-\item \texttt{a1 += 2}
- adds \texttt{2} to all elements of array \texttt{a1}.
-
-\begin{itemize}
-\item Similarly \texttt{-=}, \texttt{*=} \& \texttt{/=}.
-\end{itemize}
-
-\item \texttt{a1 + a2}
- does elements-wise addition.
-
-\begin{itemize}
-\item Similarly \texttt{-}, \texttt{*} \& \texttt{/}.
-\end{itemize}
-
-\item \texttt{a1 * a2}
- does element-wise multiplication
-\end{itemize}
-
-
- \textbf{Note} - array(A) * array(B) does element wise multiplication and not matrix multiplication
-\end{frame}
-\begin{frame}
-\frametitle{Summary}
-\label{sec-15}
-
- In this tutorial we covered,
-\begin{itemize}
-\item Basics of arrays
-\item Creating arrays
-\item Arrays from lists
-\item Basic array operations
-\end{itemize}
-\end{frame}
-\begin{frame}
-\frametitle{Thank you!}
-\label{sec-16}
-
- \begin{block}{}
- \begin{center}
- This spoken tutorial has been produced by the
- \textcolor{blue}{FOSSEE} team, which is funded by the
- \end{center}
- \begin{center}
- \textcolor{blue}{National Mission on Education through \\
- Information \& Communication Technology \\
- MHRD, Govt. of India}.
- \end{center}
- \end{block}
-\end{frame}
-
-\end{document}