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diff --git a/Latex/Latex6/latex_math_biblo_beamer_script.rst b/Latex/Latex6/latex_math_biblo_beamer_script.rst
index b98a750..a1de297 100644
--- a/Latex/Latex6/latex_math_biblo_beamer_script.rst
+++ b/Latex/Latex6/latex_math_biblo_beamer_script.rst
@@ -11,8 +11,7 @@
.. Prerequisites
.. -------------
-.. 1. Introduction to LaTeX.
-.. #. Basics of LaTeX and its document structure.
+.. 1. Basics of LaTeX and its document structure.
.. #. Typesetting LaTeX text.
.. 1. latex_intro
@@ -41,12 +40,12 @@ formulae, bibliography and presentations, using LaTeX.
.. R2
-.. At the end of this tutorial, you will be able to
+At the end of this tutorial, you will be able to
-.. 1. Write simple mathematical formulae in LaTeX.
-.. #. Typeset simple mathematical formulae in LaTeX.
-.. #. Write bibliography for a LaTeX document.
-.. #. Make presentations in LaTeX, using beamer.
+1. Write simple mathematical formulae in LaTeX.
+#. Typeset simple mathematical formulae in LaTeX.
+#. Write bibliography for a LaTeX document.
+#. Make presentations in LaTeX, using beamer.
.. L3
@@ -55,39 +54,44 @@ formulae, bibliography and presentations, using LaTeX.
.. R3
Before beginning this tutorial, it is recommended to complete the tutorials
-given in the prerequisite.
+titled "Basics of LaTeX and its document structure" and "Typesetting LaTeX
+text".
.. L4
+{{{ Show the "LaTeX & Mathematics : An Introduction" slide }}}
+
.. R4
In general, it is advisable to use the AMS-LaTeX bundle to typeset mathematics
in LaTeX. AMS-LaTeX is a collection of packages and classes for mathematical
typesetting.
-We can load amsmath by issuing the \usepackage{amsmath} in the preamble.It must
+We can load amsmath by issuing the \usepackage{amsmath} in the preamble.It must
be noted that amsmath is included in the base distribution of LaTex, in atleast
the most recent versions.
-Math formulae can be embedded in two ways,
- “inline” or “text style ” method, which is done by enclosing the
- required command and text within two dollar signs or between an backslash
- opening bracket and backslash closing bracket.
+Math formulae can be embedded in one of two ways. The first is, “inline” or
+“text style ” method, which is done by enclosing the required commands and
+text within two dollar signs or between an backslash opening bracket and
+backslash closing bracket.
- By enclosing them in a dedicated environment respectively/displayed style.
+The second method is by enclosing them in a dedicated environment respectively,
+this is also called displayed style.
The most common LaTeX environment used to typeset mathematical formulae is
-from equation family.
+from the equation family.
.. L5
+{{{ Show the "Matrices" slide }}}
.. R5
An environment like bmatrix for example, is used to render a matrix. The syntax
-for specifying a matrix is similar to that used in the tabular environment. The
-& symbol is used for demarcating columns and \\ is used to demarcate rows.
+for specifying a matrix is similar to that used for the tabular environment.
+The & symbol is used for demarcating columns and \\ is used to demarcate rows.
There are 5 other matrix environments and each have different/no type of
delimiters. A table showing the data is being shown on the screen. The matrix
@@ -95,10 +99,11 @@ and its allied environments are defined by the amsmath package.
.. L6
+{{{ Show the "Matrices ..." slide }}}
.. R6
-The screen shows the an example, that renders different types of matrices using
+The screen shows the example, that renders different types of matrices using
LaTeX.
It also shows the two ways in which mathmatical formulae can be embedded into
@@ -109,42 +114,46 @@ Please pause the tutorial and go through the example shown on the screen.
.. L7
{{{continue from paused state}}}
+{{{ Show the "Superscripts & Subscripts" slide }}}
.. R7
To typeset superscripts in LaTeX, the carat character is used. The carat
-operator just acts on the next character.
+operator just acts on the immediate next character.
To typeset subscripts in LaTeX, the underscore character is used. The carat
-operator just acts on the next character.
-Multiple characters and ambiguity is resolved by grouping them using opening
-and closing curly brackets.
+operator just acts on the immediate next character.
+Multi character grouping and ambiguity is resolved by grouping them using
+opening and closing curly brackets.
.. L8
+{{{ Show the "Summation & integration" slide }}}
.. R8
-To typeset the summation symbol, use the sum command. Similarly, the integral
-symbol is obtained using the int command. The upper and lower limits, for both
-the sum and int command are specified using the carat and underscore characters
-, respectively.
+To typeset the summation symbol, we use the sum command. Similarly, the
+integral symbol is obtained using the int command.
+The upper and lower limits, for both the sum and int command are specified
+using the carat and underscore characters, respectively.
.. L9
+{{{ Show the "displayed math" slide }}}
.. R9
-We now move onto using the equation environment to render mathematical formulae,
-which are numbered. Another environment called equation star environment renders
+We now move onto using the equation environment to render mathematical formulae
+which are numbered. Another allied environment called equation star renders
unnumbered equations.
-Backslash and opening square bracket and its counterpart the backslash
-closing square bracket is a short hand for equation star environment.
+Backslash opening square bracket and its counterpart the backslash closing
+square bracket is a short hand for equation star environment.
There is no similar shorthand for equation environment (i.e, the numbered
equation environment).
.. L10
+{{{ Show the "Groups of equations" slide }}}
.. R10
@@ -162,18 +171,22 @@ ampersand symbol.
.. L11
+{{{ Show the "Fractions & Surds" slide }}}
.. R11
-To typeset fractions use the frac command. To typeset surds, we use the sqrt
-command with the optional paramter of [n].
+To typeset fractions we use the frac command and to typeset surds, we use the
+sqrt command with the optional paramter of [n]. The optional parameter for the
+sqrt command is used to render roots not equal to 2.
-Please note that there is a special command dfrac, that can be used to render
-fractions as if its placed in display mode and is meant to be used even in
+Please note that there is a special command dfrac that can be used to render
+fractions, as if its placed in display mode and is meant to be used even in
inline mode.
.. L12
+{{{ Show the "Greek characters & Spacing in math environments" slide }}}
+
.. R12
Inserting Greek letters into LaTeX is simple. we use commands named alpha, beta,
@@ -187,6 +200,8 @@ to specify the spacing required.
.. L13
+{{{ Show the "Bibliography" slide }}}
+
.. R13
Writing bibliographies in LaTeX using the thebibliography environment is pretty
@@ -197,24 +212,25 @@ Each entry of the bibliography begins with the command bibitem. It takes an
optional parameter called label and a name for the entry.The label option
replaces the numbers from the auto enumeration with the labels given.
-The to cite the bibliography item within the document, we use the cite command,
+Then to cite the bibliography item within the document we use the cite command,
containing name as a parameter.
We start the bibliography environment with a numerical parameter. This defines
how much space is to be reserved for all the labels.
If for example, we have less than 10 items in the Bibliography we would begin
-the bibliography environment with an parameter, whose value is 9.
+the bibliography environment with a parameter, whose value is 9.
.. L14
{{{continue from paused state}}}
+{{{ Show the "Beamer" slide }}}
.. R14
It is highly recommended to use beamer to create presentations, especially when
-you are using LaTeX typesetting your report. This is mainly because, it would be
-really easy to reuse the LaTeX that you have used for the report/document for
-the presentation as well.
+you are using LaTeX typesetting your report. This is mainly because it would be
+really easy to reuse the LaTeX content that you have already used for the
+report/document for, the presentation as well.
We begin a beamer document with the documentclass being set to beamer.
@@ -223,6 +239,8 @@ that content is divided into slides.
.. L15
+{{{ Show the "Beamer ..." slide }}}
+
.. R15
The usetheme command is used to specify the theme to be used for the current
@@ -237,7 +255,8 @@ We must also note that the title page of the presentation can be set like any
other LaTeX document.
If we have to use fragile environemts like verbatim or lstlisting inside a
-slide, then we have to pass an additional parameter to begin frame, fragile.
+slide, then we have to pass an additional parameter to begin frame, namely
+fragile.
Overlays and simple animation can be achieved using the pause command.
@@ -246,6 +265,8 @@ this marvelous utility.
.. L16
+{{{ Show the "Beamer: An Example presentation" slide }}}
+
.. R16
This screen shows a very basic LaTeX presentation done using beamer. We use the
@@ -257,20 +278,20 @@ example shown on the screen.
.. L17
{{{continue from paused state}}}
-{{{ Show summary slide }}}
+{{{ Show the "Summary" slide }}}
.. R17
This brings us to the end of this tutorial. In this tutorial, we have,
-.. 1. Written simple mathematical formulae in LaTeX.
-.. #. Typeset simple mathematical formulae in LaTeX.
-.. #. Written bibliography for a LaTeX document.
-.. #. Made a sample presentations in LaTeX, using beamer.
+1. Written simple mathematical formulae in LaTeX.
+#. Typeset simple mathematical formulae in LaTeX.
+#. Written bibliography for a LaTeX document.
+#. Made a sample presentations in LaTeX, using beamer.
.. L18
-{{{Show self assessment questions slide}}}
+{{{ Show the "Self assessment questions" slide }}}
.. R18
@@ -284,7 +305,7 @@ remove the line.
.. L19
-{{{Show self assessment questions slide}}}
+{{{ Show the "Solutions" slide }}}
.. R19
@@ -300,7 +321,7 @@ package.
.. L20
-{{{ Show the thankyou slide }}}
+{{{ Show the "Thank you" slide }}}
.. R20