GSEB Class 12 Solutions Chapter 12 Publishing Documents using LaTeX

Question 1. Compare LaTeX with word processors. List the strengths and weaknesses of both.
Answer: Both LaTeX and word processors are tools for creating documents, but they work on very different ideas, leading to distinct advantages and disadvantages. LaTeX is a markup language system, while word processors like Microsoft Word or LibreOffice Writer are What You See Is What You Get (WYSIWYG) editors.

Word Processors:

Strengths:
• User-Friendly: They offer an easy-to-use graphical interface, making them simple for new users to learn and operate.
• WYSIWYG: Users view the document exactly as it will print or show, giving instant visual feedback.
• Versatile: Good for general documents, letters, resumes, and basic reports.
• Collaboration: Modern word processors have strong features for real-time teamwork and tracking changes.
• Image Handling: It is easy to insert, resize, and place images directly.

Weaknesses:
• Complex Formatting: They often struggle with difficult mathematical formulas, large documents, or precise text control, frequently causing formatting issues.
• Inconsistency: Keeping consistent formatting across big documents or multiple writers can be tough.
• File Size: Output files can sometimes be larger and harder to move compared to plain text or PDF files from LaTeX.
• Lack of Control: Users have less control over the underlying document layout and look compared to markup languages.

LaTeX:

Strengths:
• High-Quality Output: It creates professional-quality documents, especially excellent for scientific papers, theses, and books that have complicated mathematical equations.
• Consistency: It makes sure formatting stays the same throughout large and complex documents by using predefined styles and commands.
• Mathematical Typesetting: It has unmatched abilities for arranging complex mathematical expressions and symbols.
• References and Citations: It automatically handles cross-references, bibliographies, indexes, and tables of contents, saving a lot of manual work.
• Portability: Source files are simple text, making them very easy to move and track with version control. The output is often PDF, which is also widely readable.
• Open Source & Extendable: A large group of people creates many free packages to boost its features for various needs.
• LaTeX can create output in different file types, and you need suitable viewer software depending on the output file format.
• It offers built-in ways to format document elements in a pleasing, professional manner.
• LaTeX now has a command called `pdflatex` that produces the well-known PDF (Portable Document Format) files.
• PDF files can be viewed on screen or printed, and the printout looks exactly the same as the display.
• You can customize the document further using built-in styles or by defining your own styles.

Weaknesses:
• Steep Learning Curve: It needs users to learn specific commands and a markup language approach, which can be challenging for new users.
• Not WYSIWYG: Users write code and then compile it to see the final output. This edit-compile-view cycle can be slower for quick visual changes.
• Setup Complexity: You need to install a LaTeX distribution and potentially a text editor, which can be more involved than simply opening a word processor.
• To use LaTeX, you need a LaTeX distribution (software). Most distributions include TeX and other additional software.
• When typing the document, one sees it as plain unformatted text with commands written as part of the content.
• The document is then compiled (processed) using the LaTeX system, and an output file is created.
• Every time you make a change in the source text, you must compile it again to see the effect of the change in the output document.
• There is also a need for a plain text editor and software to view the output file.
• To use SciTE with `pdflatex`, you need to change its configuration file.

Conclusion: The choice between LaTeX and word processors depends on the document's type and the user's needs. Word processors are great for general documents and ease of use, while LaTeX is the better option for academic, scientific, and technical documents that require precise control over formatting and complex elements.

Exam Tip: When comparing, always start with a brief introduction defining each tool, then use clear headings or bullet points for strengths and weaknesses of both, concluding with advice on when to use each.

Question 2. List key reasons for the popularity of LaTeX.
Answer: LaTeX has several advantages, which make it popular:
• Just as TeX was expanded to LaTeX, LaTeX itself can also be extended.
• Anyone can make more packages to improve the features provided in LaTeX, adding new functions or offering alternative ways to do things.
• Thousands of such packages have been developed by LaTeX users globally to meet different requirements.
• Most of these packages are free to use.
• These packages are hosted on the CTAN (The Comprehensive TeX Archive Network) website at www.ctan.org.
• LaTeX is extremely good at arranging complex mathematical formulas in a well-structured and proper way.
• Because of this, it is quite popular among authors and publishers in mathematics, engineering, computer science, and other technical fields.
• Since it is open source, it is very systematic and developed in the academic spirit of knowledge sharing and teamwork.
• It is becoming popular among university teachers and researchers.
• People in these fields use LaTeX, share their ideas and experiences, help each other, and share new packages, driving its further growth.
• LaTeX has built-in features to automatically update numbering and references, and to create tables of contents, indexes, and other such necessary items, taking a big load off the author's mind.
In simple words: LaTeX is popular because it's good at math, makes documents look professional, helps with big projects, and a lot of people share free tools for it. It saves authors a lot of time by doing many things automatically.

Exam Tip: Focus on LaTeX's key strengths for academic and technical writing, such as math typesetting, automated formatting, and its open-source nature, as these are its primary appeals.

Question 3. List the reserved characters and characters that cannot be used directly in LaTeX.
Answer: The following characters are reserved characters in LaTeX and hold special meanings; therefore, they cannot be used directly in the text:
`# $ % & _ { } ^ ~ \`
If these characters are to be used in any text, then the following forms must be used:
`\# \$ \% & \_ \{ \} \^{} \~{} \textbackslash{}`
You should note the special ways to use the last three characters.
The symbols < and > print very differently by default, except when used in math mode.
Hence, they must be written as `\textless` and `\textgreater`.
The `(grave accent or backquote)` and `' (apostrophe or straight quote)` are used around text to put it in single quotes, like 'Book Code'.
Double quotes are made by repeating them twice, like "Book Code" (these are two straight quotes, not a single double quote).
In simple words: Certain symbols like #, $, %, &, _, {, }, ^, ~, and \ have special jobs in LaTeX. You can't just type them normally. To use them as regular text, you need to put a backslash \ before them. For example, to type a dollar sign, you write `\$`.

Exam Tip: Remember the list of reserved characters and their escape sequences. A common mistake is forgetting to escape the backslash itself `(\textbackslash{})` or the tilde `(\~{})` and caret `(\^{})` which require curly braces.

Question 4. Explain the structure of a LaTeX document.
Answer: The structure of a LaTeX document typically has two main parts, the preamble and the content.
• The preamble holds metadata, which is data about the document itself. This includes details like the document type, author, creation date, and instructions on how LaTeX should process the document.
• The actual content of the document is always written inside the document environment, between `\begin{document}` and `\end{document}` commands.
• A book document environment is further split into three main parts: the front matter (`\frontmatter`), the main matter (`\mainmatter`), and the back matter (`\backmatter`).
• The main content of a book has a hierarchical structure, divided into parts, chapters, sections, subsections, sub-subsections, and paragraphs.
• These divisions are marked using commands like `\part`, `\chapter`, `\section`, `\subsection`, `\subsubsection`, and `\paragraph` respectively, each accepting a compulsory argument for its title.
In simple words: A LaTeX document has two main parts: the beginning (preamble) where you set up rules like document type and author, and the main part (content) where you actually write your text. For bigger documents like books, there are extra sections like front, main, and back parts, and chapters inside those.

Exam Tip: Clearly differentiate between the preamble and the document body. Mentioning `\documentclass` and `\begin{document}/\end{document}` is crucial for full marks.

Question 5. Explain the \frac command and its nesting inside another \frac command with an example.
Answer: LaTeX offers great support for a large number of mathematical operators. Fractions are created using the command `\frac{numerator}{denominator}`. This command takes two mandatory arguments: the numerator (the top part of the fraction) and the denominator (the bottom part).
These mathematical operators, including `\frac`, can be nested one inside another. This means you can have a fraction within the numerator or denominator of another fraction, or even within a square root of a fraction, and so on. The structure allows for complex mathematical expressions to be built up in a clear and logical way, with LaTeX handling the correct sizing and placement of all elements.
Here is an example demonstrating the nesting of the `\frac` command:
\[ \frac{\frac{1}{3}+\frac{3}{2}}{\frac{2}{3}+\frac{1}{2}} \]
In this example, the main fraction has `\frac{1}{3}+\frac{3}{2}` as its numerator and `\frac{2}{3}+\frac{1}{2}` as its denominator. Inside both the main numerator and denominator, there are further nested `\frac` commands that create smaller fractions like \( \frac{1}{3} \) and \( \frac{3}{2} \).
In simple words: The `\frac` command helps you write fractions, with one part on top and one on the bottom. You can put a `\frac` command inside another `\frac` command, like a fraction within a fraction. This helps you write very complex math equations, and LaTeX will make sure it looks correct and neat.

Exam Tip: When explaining `\frac`, clearly state its purpose and arguments. For nesting, provide a simple, concrete example that clearly shows one `\frac` embedded within another, and ensure all math is correctly wrapped in `\(...\)` or `\[...\]`.

Question 6. Choose the most appropriate option from those given below :
1) Modern word processing software operates in which of the following mode ?
(A) WIGIW1S
(B) WISYWIG
(C) WYSIWYG
(D) WISYWYG
Answer: (C) WYSIWYG
In simple words: Modern word processors let you see exactly how your document will look while you are creating it. This is known as "What You See Is What You Get" or WYSIWYG.

Exam Tip: Understand the acronym WYSIWYG and its meaning in the context of graphical user interfaces for document creation.

Question 6. 2) Which of the following is not a reserved character in LaTeX ?
(A) @
(B) %
(C) $
(D) A
Answer: (A) @
In simple words: In LaTeX, many characters have special roles and cannot be used normally unless you use a backslash before them. The '@' symbol does not have such a special role by default and can be typed directly.

Exam Tip: Memorize the list of common reserved characters in LaTeX (`# $ % & _ { } ^ ~ \`) to easily identify those that are not reserved.

Question 6. 3) Which of the following begins with \begin{name} and ends with end{name}?
(A) group
(B) section
(C) environment
(D) preamble
Answer: (C) environment
In simple words: In LaTeX, a section of code that starts with `\begin{...}` and ends with `\end{...}` is called an environment. This setup helps to apply certain formatting or rules to the content inside it.

Exam Tip: Recognize the `\begin` and `\end` command pair as the defining characteristic of an "environment" in LaTeX, used for applying consistent formatting or features to a block of content.

Question 6. 4) Which of the following character is used to mark a comment in LaTeX ?
(A) $
(B) %
(C) #
(D) &
Answer: (B) %
In simple words: In LaTeX, when you want to add notes to your code that won't show up in the final document, you use the percent sign `%`. Everything after the `%` on that line is treated as a comment.

Exam Tip: Remember that the percent sign (`%`) is crucial for adding comments in LaTeX code, which helps explain the code without affecting the output.

Question 6. 5) Which of the following part of the LaTeX document contains the metadata ?
(A) preface
(B) TOC
(C) preamble
(D) environment
Answer: (C) preamble
In simple words: The "preamble" is the first part of your LaTeX document where you put all the setup information, like the document type, title, and author. This is like the document's basic information before the actual content begins.

Exam Tip: Understand that the preamble is located before `\begin{document}` and is used to define global settings, document class, packages, and metadata like title and author.

Question 6. Which of the following web site hosts the LaTeX packages?
(A) CTAN
(B) CLAN
(C) CTEN
(D) CLEN
Answer: (A) CTAN
In simple words: The CTAN website is where you can find and get many LaTeX packages.

Exam Tip: Remember CTAN (Comprehensive TeX Archive Network) is the central repository for LaTeX packages.

Question 7. Which of the following will not be automatically numbered?
(A) \section
(B) \subsection
(C) \chapter*
(D) \part
Answer: (C) \chapter*
In simple words: When you add an asterisk (*) to a command like `\chapter*`, it means that particular section will not get an automatic number.

Exam Tip: Commands with an asterisk (`*`) typically suppress automatic numbering in LaTeX, useful for unnumbered introductory pages like acknowledgements.

Question 8. Which of these environments displays mathematical content inline with the text?
(A) displaymath
(B) math
(C) equation
(D) text
Answer: (B) math
In simple words: The `math` environment lets you put math formulas right inside your normal sentence text.

Exam Tip: Distinguish between `math` (inline) and `displaymath` or `equation` (standalone, displayed) environments for mathematical content.

Question 9. Which of the following commands generate the set union symbol?
(A) \cup
(B) \setunion
(C) \cap
(D) \union
Answer: (A) \cup
In simple words: To get the union symbol \( \cup \) in LaTeX, you use the `\cup` command.

Exam Tip: Learn common LaTeX commands for set theory symbols like union (`\cup`) and intersection (`\cap`).

Question 10. Which of the following operator is used to denote a subscript or an index?
(A)_ (underscore)
(B) \( \wedge \) (caret)
Answer: (A)_ (underscore)
In simple words: The underscore symbol `_` is used to make something appear as a subscript, like `x_1` means \( x_1 \).

Exam Tip: Remember that underscore (`_`) is for subscripts, and the caret (`^`) is for superscripts in LaTeX math mode.

Question 11. Which of the following refer to the very first line in the preamble?
(A) \usepackage
(B) \title
(C) \maketitle
(D) \documentclass
Answer: (D) \documentclass
In simple words: The very first command you normally see in a LaTeX document's preamble is `\documentclass`. It tells LaTeX what type of document you are creating.

Exam Tip: The `\documentclass` command is fundamental; it defines the overall structure and type of your LaTeX document.

The Preamble

• As LaTeX helps create many different kinds of documents with varied features and designs, it needs to understand what type of document is being used as a source file.
• The very first part in the preamble must be `\documentclass{document-class-name}`, which specifies the document type.
• Some standard document classes are shown in the table below.
• Many document classes also have options.
• The table below lists some standard options.

Some Common Options of Document Classes

• The document class declaration is followed by an optional package declaration.
• While the LaTeX system itself offers many standard typesetting requirements, it also understands that it cannot provide everything users might need.
• Hence, LaTeX allows users to write packages that offer additional functionality.
• There is a large group of LaTeX users who develop new LaTeX packages or improve existing ones to meet their own needs, then share them with others through the Comprehensive TeX Archive Network (CTAN).
• LaTeX distributions usually include many such packages preinstalled.

• To use one or more packages in our document, we need to declare them in the preamble as `\usepackage{package-name}`.
• Some packages can also have options to customize their behavior.
• If the user is not using options for any packages, multiple package names can be declared in a single `\usepackage` command, separated by commas.
• The table below shows only a few of the commonly used packages.

• Three more pieces of information are usually provided. They are mentioned below: `\title{the-title-of-the-document}` `\author{author(s) of the document}` `\date{date of creation / last update of the document, in any format}`
• It is necessary to provide the title and the author if LaTeX is to create an automatic title.
• Providing the date is optional; if it is not included, the date of compilation is used in the title.
• These pieces of information can be supplied in the preamble or as the first item in the document environment.

The Document Environment

• The document environments for articles and slides will only have a title, followed by the main content of the document.
• A title is automatically generated by LaTeX when it encounters the `\maketitle` command.
• The `\title`, `\author`, and `\date` commands must appear before the `\maketitle` command because their information is used to create the title.
• A book can have a much more detailed structure, though most elements are optional.
• The document environment of a book is divided into three main parts:
  1. The front matter
  2. The main matter
  3. Back matter
• These three parts are denoted by the following commands respectively:
  1. `\frontmatter`
  2. `\mainmatter`
  3. `\backmatter`
• This structure, including elements like the title, table of contents, and preface in the front matter, the bibliography, index, and references in the back matter, and the primary content (chapters, sections, and subsections) in the main matter.
• The main contents of a book have a hierarchical structure, where a book is divided into parts, parts into chapters, chapters into sections, sections into subsections, subsections into sub-subsections, and these into paragraphs, which are then divided into subparagraphs.
• These are marked with the commands `\part`, `\chapter`, `\section`, `\subsection`, `\subsubsection`, `\paragraph`, and `\subparagraph` respectively.
• Each takes one mandatory argument, the title, and one optional argument. The title must be displayed in the table of contents.
• They start a new part, chapter, or section respectively.
• The title to be displayed in the main text can be longer and can have internal formatting (like boldface or italics applied to part of the title).
• The title to be displayed in the table of contents is expected to be short and without any special formatting to keep a consistent appearance.

• These 7 elements nest inside one another and have an integer level assigned to them, with part having a level of 1, chapter a level of 0, section a level of 1, and so on.
• The parts, chapters, and sections are numbered automatically by LaTeX.
• The author can also move chapters, sections, and subsections without needing to remember numbering.
• The parts are numbered in Roman numerals (I, II, III, and so on), while the chapters, sections, subsections, etc., are numbered in Arabic numerals (1, 2, 3, and so on).
• All chapters after the special `\appendix` command (to be used only once) are treated as appendices and get uppercase alphabetic numbering (A, B, C, and so on).
• Pages in the front matter are numbered using Roman numerals, while the pages in the main matter and back matter are numbered in Arabic numerals, with the numbering restarting from 1. While both the front matter and back matter can have chapters (like a preface, acknowledgements, or bibliography), those chapters usually do not have sections or other sub-elements.
• The commands defining different elements of the document also have their starred equivalents that are not numbered.
• For example, `\section*` can be used to create a section that is not automatically numbered.
• By default, elements are assigned a number up to level 2, which covers subsections. Sub-subsections and further divisions are not assigned numbers.
• This can be changed by modifying one of the built-in counters of LaTeX in the preamble.
• For example, the command `\setcounter{secnumdepth}{3}` ensures that elements up to level 3 (subsubsection) are assigned numbers.
• Elements are assigned a number formed by appending a period (.) and the element number to the number of the parent element.
• Chapters are an exception, as their assigned number does not have a part number and period in front of them.
• Chapters are assigned simple Arabic numeral numbers.
• If part II of a book has chapter 5, which, in turn, has section 4, which has subsection 1, then the subsection would be numbered 5.4.1.
• A well-formatted table of contents (TOC) is generated automatically from the element titles by LaTeX when it encounters the `\tableofcontents` command.
• Again, by default, a TOC has entries up to level 2 (subsection), but this can be changed by altering the value of another built-in counter `tocdepth`.

• There is one important point to be noted. LaTeX processes the source file sequentially from beginning to end in a single pass.
• It produces the output file also sequentially.
• It cannot move back and forth in either of the file. This creates a problem.
• The TOC appears early in the document and must output the entries for chapters or sections along with their page numbers.
• However, at that point, LaTeX has no knowledge about chapters or sections that would follow.
• In this kind of situation, LaTeX must be run multiple times.
• In the first run, LaTeX gathers information about the document structure and saves it in supplementary files.
• The TOC in the output files would be empty at this point or might have information from older supplementary files.
• In the second run, it will collect the correct information from the supplementary files at the beginning to produce the right TOC.
• Just like the TOC, LaTeX can also maintain a list of figures, a list of tables, cross-references, a bibliography, and a glossary or index automatically.
• This greatly reduces the author's workload and is a major reason for LaTeX's popularity.

Example:

• To understand how LaTeX formats books, a source file can be created and its output viewed.
• Use a SciTE editor with LaTeX to work on the example.
• Create a new file in SciTE using the File \( \rightarrow \) New menu option.
• Type the content shown in the Listing below into a SciTE editor.

\documentclass[12pt]{book}
\usepackage{amsmath}
\title{\huge Mathematics \\[3\baselineskip]
\Large Standard 12}
\author{Gujarat State Board of School Textbooks}
\date{2013}
\setcounter{secnumdepth}{2}
\setcounter{tocdepth}{1}
\begin{document}
\frontmatter
\maketitle
\chapter{\MakeUppercase{Fundamental Duties}}
\tableofcontents
\chapter{\MakeUppercase{About This Textbook...}}
\mainmatter
\part{Semester I}
\chapter{Set Operations}
\section{Introduction}
\section*{Exercise 1.1}
\section{Properties of the Union Operation}
\subsection{Union is a Binary Operation}
\section{Properties of the Intersection Operation}
\subsection{Intersection is a Binary Operation} \
subsection{Associative Law}
\chapter{Number Systems}
\section{Introduction}
\section*{Exercise 2.1}
\section{Irrational Numbers}
\chapter{Polynomials}
\chapter{Coordinate Geometry}
\chapter{Some Primary Concepts in Geometry : 1}
\chapter*{answers}
\markboth{\MakeUppercase{Answers}}{}
\addcontentsline{toc}{chapter}{Answers}
\part{Semester II}
\chapter{Quadrilaterals}
\section{Introduction}
\section{Plane Quadrilateral}
\chapter{Areas of Parallelograms and Triangles}
\section{Introduction}
\section{Interior of a Triangle}
\chapter{Circle}
\chapter{Surface Area and Volume}
\chapter*{Answers}
\markboth{\MakeUppercase{Answers}}{}
\addcontentsline{toc}{chapter}{Answers}
\appendix
\chapter{Terminology}
\backmatter \end{document}

Listing: A Sample Book in LaTeX

• Save the file using File \( \rightarrow \) Save menu option. Note that the extension of the file should be `.tex`.
• Now select Tools \( \rightarrow \) Build menu option (shortcut key: F7) to compile your LaTeX file.
• The output window will show several messages. If the last line (in blue color) reads Exit code: 0, then compilation was successful. Otherwise, the error messages may point to the error(s), but often they are hard to understand.
• If the compilation is successful, then select Tools \( \rightarrow \) Go menu option (shortcut key: F5) to view the file in the default document viewer.
• Close the document viewer before returning to SciTE.

Text Formatting

• In LaTeX documents, a paragraph is typed in a continuous flow without pressing the ENTER key. LaTeX then adjusts the text automatically.
• It decides how much text should go in the first line, how much text should go in the second line, and so on, according to the page width, font size, and alignment option used.
• LaTeX usually avoids breaking a word in two parts.
• It has a hyphenation algorithm to decide the most appropriate way of breaking the word with a hyphen (-).
• For example, if the word formatting cannot fit on a single line, the first line may end with "formatt-" and the next line may begin with "ing".
• On the other hand, there are some situations where some text, even though technically forming multiple words, should not be split into multiple lines.
• For example, "up to" are two words, and yet, it is not ideal to have one line ending in "up" and the next line beginning with "to" because "up" is an independent word with a different meaning.
• So, the reader is surprised for a moment on seeing "to" on the next line.

• This is an obstacle to a smooth reading experience.
• To avoid it, both "up" and "to" should be on the same line, either the first line or the second.
• In LaTeX, this can be handled by inserting a non-breaking space between "up" and "to".
• LaTeX uses the `~` (tilde) character to denote a non-breaking space.
• LaTeX divides font families into three categories.
  1. Roman (also called serif) fonts have a tiny line or curve called a serif at the end of the strokes (lines).
  2. Sans serif fonts do not have serifs, while monospace fonts use equal width for all characters.
  3. Monospace fonts are typically used for computer code listings.
• The default fonts are Roman.
• These three types of fonts can be used for any text by employing the commands `\textrm{text}`, `\textsf{text}`, and `\texttt{text}` respectively.
• The difference between serif and sans serif fonts can be seen in the figure where the section titles are in the default serif fonts while the body text is in sans serif.
• The font size can be changed using the commands `\tiny`, `\scriptsize`, `\footnotesize`, `\small`, `\normalsize`, `\large`, `\Large`, `\LARGE`, `\huge`, and `\Huge`.
• Notice that the commands are case-sensitive.
• The commands `\textbf`, `\textit`, and `\emph` can be used to add bold, italic, and emphasis (generally same as italics) effect to the text.
• - `\textsc` provides small capital letters.
• Superscripts and subscripts can be created in text mode using the commands `\textsuperscript` and `\textsubscript` respectively from the package `fixltx2e`.

Paragraph Formatting

• In LaTeX, the `setspace` package provides the `singlespace`, `onehalfspace`, `doublespace`, and `spacing{amount-of-spacing}` environments for setting the line spacing.
• By default, body text is fully justified in LaTeX.
• To achieve left alignment, right alignment, or center alignment, one has to use the environments `flushleft`, `flushright`, and `center` respectively.
• The first line of a paragraph is indented, except for the paragraphs immediately following a heading.
• The `\indent` and `\noindent` commands can be used immediately before a paragraph to explicitly make the first line indented and unindented respectively.

• The `verbatim` environment outputs everything inside it (including special characters, spaces, newlines, and LaTeX commands) as it is, without any processing.
• The `moreverb` package provides a listing environment with one mandatory argument `line-number-of-first-line` for program code listing with line numbers.

Page Layout

• In LaTeX, the `geometry` package can be used for page layout.
• The paper size and margins can be passed as optional arguments with the `\usepackage` command itself. An example of the command given below is: `\usepackage[a4paper, top=1in, bottom=2in,` `left=1.5in, right=1in]{geometry}`
• This sets the page size to A4, the top margin to 1", the bottom margin to 2", the left margin to 1.5", and the right margin to 1".
• Page sizes have been standardized internationally.
• The page sizes commonly used with regular printers are A4, letter, and legal.
• These can be specified by `a4paper`, `letterpaper`, and `legalpaper` respectively.
• The page orientation can also be specified using the `portrait` (default) and `landscape` options.
• Documents can be either one-sided or two-sided.
• Articles are by default one-sided, while books are two-sided.
• Two-sided documents differentiate between the left (even) and right (odd) pages and can have different margins for both, to take care of the amount of page space used up by the binding.
• There can also be rules like all chapters must start on an odd page.

Typesetting Mathematical Content in LaTeX

• The ability to automatically lay out complex mathematical content is a major strength of LaTeX.
• The most common way of laying out mathematical content in LaTeX is using the packages `amsmath`, `amssymb`, and `amsfonts`, created by the American Mathematical Society.
• The `amsmath` package defines several environments for mathematical content.
• There are two ways of typesetting formulas and equations.

• One can have them printed as part of the running text (inline) or they can be printed independently on their own lines (called display in LaTeX parlance).
• The former form can be obtained using the `math` environment, while the latter can be obtained using the `displaymath` environment.
• The `equation` environment is a display environment that automatically numbers equations.
• A convenient way of embedding the `math` environment in running text is to enclose the mathematical content between `$...$`.
• In mathematical environments, each letter is treated as a mathematical variable.
• Hence, they are different from the text environments.
• To understand these environments, create a text file by using the code in the listing.
• Create a new file in SciTE using File \( \rightarrow \) New menu option.
• Type the content shown in the Listing below into a SciTE editor.

\documentclass[12pt]{article}
\usepackage{amsmath}
\title{Introduction to \LaTeX}
\date{May 2013}
\begin{document}
\section*{math environment}
The quadratic equation, in its general form, is
\begin{math}
ax^2 + bx + c = 0
\end{math}
You learnt about them in class X.
The quadratic equation, in its general form, is $ax^2 + bx + c = 0$
\section*{displaymath environment}
The quadratic equation, in its general form, is
\begin{displaymath}
ax^2 + bx + c = 0
\end{displaymath}. You learnt about them in class X
\end{document}

Listing: Demonstration of the math environments

• Save the file using File \( \rightarrow \) Save menu option.
• Select the Tools Build menu option (shortcut key: F7) to compile the LaTeX file.
• If the compilation is successful, select the Tools \( \rightarrow \) Go option (shortcut key: F5) to view the file in the default document viewer.
• The figure shows the output of the file when viewed in the document viewer.

math environment

The quadratic equation, in its general form, is \( ax^2 + bx + c = 0 \). You learned about them in class X.

The quadratic equation, in its general form, is \( ax^2 + bx + c = 0 \). You learned about them in class X.

displaymath environment

The quadratic equation, in its general form, is \( ax^2 + bx + c = 0 \).

You learned about them in class X.

Figure: Part output of the TeX code in Listing

Using Mathematical Symbols

• Mathematics uses a large number of symbols.
• Letters of the Greek alphabet have their corresponding commands, like `\alpha`, `\beta`, `\gamma`, `\pi` that produce the lowercase letters.
• The same commands, when used with the first letter in uppercase (for example, `\Alpha`), produce capital Greek letters. There are commands for other mathematical symbols as well.
• The figures below show some LaTeX commands and the mathematical symbols produced by them using the AMS packages.
• The reason for providing commands for trigonometric functions like sin, cos, and others is that they need to be recognized as functions rather than as individual variables.

Figure 12.4: Some Mathematical symbols in LaTeX

Figure: Some more Mathematical symbols in LaTeX

Using Equations

• LaTeX offers a special equation environment for typesetting equations.
• Each equation must be enclosed in the equation environment, which cannot be embedded in a `math` environment.
• Equations are numbered automatically and are centered.
• The Listing shows an example of using the `equation` environment, while the figure shows a portion of the output.