Fixed various errors in the Latex2,Latex3 and Latex6 scripts.

3 files changed, 77 insertions, 78 deletions

diff --git a/Latex/Latex2/latex_intro_script.rst b/Latex/Latex2/latex_intro_script.rst
index 67a4eaf..964a7b6 100644
--- a/Latex/Latex2/latex_intro_script.rst
+++ b/Latex/Latex2/latex_intro_script.rst
@@ -136,7 +136,7 @@ of the document.
 
 .. R8
 
-Some of the disadvantages of using LaTeX approach to typesetting is 
+Some of the disadvantages of using LaTeX approach to typesetting are 
 (1) Designing a whole new layout is difficult.
 (2) LaTeX is not a word processor, that is the document author is not expected
 to worry about presentation details like the size of font, for example.
@@ -181,9 +181,7 @@ command and ends with an end command.
 
 So, as expected LaTeX ignores anything that is written after the \end{document}
 command. Essentially, anything written after the \end{document} command turns 
-out to be a comment. But, how do we write comments with in the document. % is
-the character to indicate comments. Anything written after a % symbol in a 
-line, is ignored.
+out to be a comment.
 
 .. L11
 
@@ -191,11 +189,14 @@ line, is ignored.
 
 .. R11
 
+But, how do we write comments with in the document. % is
+the character to indicate comments. Anything written after a % symbol in a
+line, is ignored.
 But what if we wanted to insert the % symbol in the document? We can do so by
 escaping it with a \ (backslash). % is one of the many special characters in
-LaTeX. The others are, ~ # $ ^ & _ { } \. All of them, except the \ itself, can
-be inserted by escaping it with a \. To insert a \ in our document, we use the
-command \textbackslash.
+LaTeX. The others are shown on the screen. All of them, except the \ itself, 
+can be inserted by escaping it with a \. To insert a \ in our document, we use
+the command \textbackslash.
 
 What would happen if we escape a \ with a \? 
 A double backslash is actually another command. It inserts a new line in the
@@ -234,8 +235,7 @@ file temp.tex into a DVI file, we use the following command
 
 latex temp.tex. 
 
-The output file would be temp.dvi.On Gnu/Linux use a program like xdvi to view
-the output file.
+The output file would be temp.dvi.
 
 .. L14
 
@@ -249,9 +249,6 @@ file temp.tex into a PDF file, we use the following command
 
 pdflatex temp.tex
 
-The output file would be temp.pdf.On Gnu/Linux use a program like evince to 
-view the output file.
-
 Please note that, throughout this course we shall be using pdflatex to compile 
 our documents.
 
diff --git a/Latex/Latex3/latex_basics_and_structure_script.rst b/Latex/Latex3/latex_basics_and_structure_script.rst
index 9d8f6c6..90067c7 100644
--- a/Latex/Latex3/latex_basics_and_structure_script.rst
+++ b/Latex/Latex3/latex_basics_and_structure_script.rst
@@ -117,7 +117,7 @@ The supported classes have a few differences, in how the content of the document
 We now look at a hypothetical documentclass command.
 The command being shown on the screen, instructs LaTeX to 
 Create a new document of class report. The available classes are article, proc,
-report, book, slides, letter.
+report, book, slides and letter.
 12 pt: sets the font size of main font. Other are relatively adjusted. 10pt is
 the default. 
 a4paper: specifies the paper size
@@ -144,7 +144,7 @@ the texdoc command for accessing package documentation.
 
 We add the title, the author and the date to the document before the 
 \begin{document} directive. We compile the document to see if the details 
-appear in the document, but they donot.
+appear in the document, but they do not.
 
 .. L10
 
@@ -153,8 +153,10 @@ appear in the document, but they donot.
 .. R10
 
 The command \maketitle adds title, authors name and date to the output file.
-Of these only the date is optional. If date command is specified, then the given
-date is used else today's date is used. 
+Of these only the date is optional. The date command can be called with an 
+optional parameter. If the optional parameter is not provided, the date of 
+compilation of the LaTeX document is used. The parameter, if specified is used 
+to override this value.
 
 .. L11
 
@@ -162,10 +164,10 @@ date is used else today's date is used.
 
 .. R11
 
-The abstract command is used to insert abstract of a document, into the output
-file.Place it in the location, where you want your abstract to present in
-the document. It is available for the document classes article and report, but
-not book
+The abstract command is used to insert the abstract of a document, into the 
+output file.Place it in the location, where you want your abstract to present 
+in the document. It is available for the document classes article and report, 
+but not for the book class.
 
 .. L12
 
@@ -176,9 +178,9 @@ not book
 Titles chapters and sections are used to help the user find his or her way
 through your work. The following commands are available in the article class:
 section, subsection, subsubsection,  paragraph and sub paragraph. The default
-behavior is to use numbered sections. We can use un-numbered sections appending
-* to section command. If you want to split your document without influencing the
-section or chapter numbering use the part command.
+behavior is to use numbered sections. We can use un-numbered sections by 
+appending * to section command. If you want to split your document without 
+influencing the section or chapter numbering, use the part command.
 
 .. L13
 
@@ -196,8 +198,8 @@ file shown in the slide we notice that subsections are not numbered.
 
 .. R14
 
-We can change this behavior with the command setcounter , calling it as shown
-in the slide. 
+We can change this behavior with the setcounter command, calling it with 
+parameters shown on the slide.
 
 .. L15
 
@@ -205,12 +207,13 @@ in the slide.
 
 .. R15
 
-Appendix can be added to the document using \appendix command. any content after
-\appendix will be added to the appendix. In the report or book class, we have to
-use \chapter to indicate that the chapters are to be numbered as appendices.
+Appendix can be added to the document using \appendix command. Any content 
+after the \appendix command will be added to the appendix. In the report or 
+book class, we have to use \chapter command to indicate that the chapters are 
+to be numbered as appendices.
 
-similarly for the article class we have to use the section command to indicate
-that sections are to be numbered as appendices.
+Similarly for the article class, we have to use the \section command to indicate
+the sections that are to be numbered as appendices.
 
 .. L16
 
@@ -218,19 +221,15 @@ that sections are to be numbered as appendices.
 
 .. R16
 
-Lets add a Table of content to the document. The LaTeX command to add a TOC to a
-document is using \tableofcontents command and is placed at the point at which
-the table of content is to be placed. 
-
-Now, compile the document and look at the output document. It does not have the table of contents!
-
-We compile our LaTeX file as usual. On the first compilation only the "Contents"
-heading appears in the document, but the actual table does not appear. You will
-need to compile your document once more, for the actual table to appear in your
-document. On the first run, LaTeX has gone through your document and generated
-a temporary file (.toc), with the entries that should go into the table of 
-contents. These entries are made, when you compile your document for the second
-time.
+We use the \tableofcontents command to add a TOC to a document is and is placed
+at the point at which the table of content is to be placed. It must be noted 
+that \tableofcontents command requires the LaTeX input file to be compiled 
+twice. On the first compilation only the "Contents" heading appears in the 
+document, but the actual table does not appear. LaTeX has now gone through 
+the input document and generated a temporary file (.toc), with the entries that
+should go into the table of contents. When the input document is compiled for 
+the second time, these entries are made and the actual table will appear in 
+your output document. 
 
 Note that any section/block that has been numbered automatically appears in the
 table of contents. It is possible to get un-numbered sections, for instance a
@@ -243,9 +242,9 @@ Preface or a Foreword section to appear in the Table of Contents.
 .. R17
 
 Un-numbered sections are added to TOC using \addcontentsline command.
-For example we use the command
-\addcontentsline{toc}{section}{Intro}
-where "Intro" is the text that you want to appear in the Table of contents.
+For example we use the addcontentsline command called with the parameters
+"{toc}{section}{Intro}", for the text "Intro" to appear in the Table of 
+contents.
 
 .. L18
 
diff --git a/Latex/Latex6/latex_math_biblo_beamer_script.rst b/Latex/Latex6/latex_math_biblo_beamer_script.rst
index de88c6a..cedf88d 100644
--- a/Latex/Latex6/latex_math_biblo_beamer_script.rst
+++ b/Latex/Latex6/latex_math_biblo_beamer_script.rst
@@ -67,19 +67,20 @@ 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
@@ -89,8 +90,8 @@ from equation family.
 .. 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
@@ -102,7 +103,7 @@ and its allied environments are defined by the amsmath package.
 
 .. 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
@@ -118,11 +119,11 @@ Please pause the tutorial and go through the example shown on the screen.
 .. 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
 
@@ -130,10 +131,10 @@ and closing curly brackets.
 
 .. 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
 
@@ -141,12 +142,12 @@ the sum and int command are specified using the carat and underscore characters
 
 .. 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).
 
@@ -174,11 +175,12 @@ ampersand symbol.
 
 .. 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
@@ -210,13 +212,13 @@ 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
 
@@ -226,9 +228,9 @@ the bibliography environment with an parameter, whose value is 9.
 .. 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.
 
@@ -253,7 +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.