Most pages on the World Wide Web are written in computer languages (such as HTML) that allow Web authors to structure text, add multimedia content, and specify what appearance, or style, the result should have.

As for every language, these have their own grammar, vocabulary and syntax, and every document written with these computer languages are supposed to follow these rules. The (X)HTML languages, for all versions up to XHTML 1.1, are using machine-readable grammars called DTDs, a mechanism inherited from SGML.

However, Just as texts in a natural language can include spelling or grammar errors, documents using Markup languages may (for various reasons) not be following these rules. The process of verifying whether a document actually follows the rules for the language(s) it uses is called validation, and the tool used for that is a validator. A document that passes this process with success is called valid.

As for every language, these have their own grammar, vocabulary and syntax, and every document written with these computer languages are supposed to follow these rules. The (X)HTML languages, for all versions up to XHTML 1.1, are using machine-readable grammars called DTDs, a mechanism inherited from SGML.

However, Just as texts in a natural language can include spelling or grammar errors, documents using Markup languages may (for various reasons) not be following these rules. The process of verifying whether a document actually follows the rules for the language(s) it uses is called validation, and the tool used for that is a validator. A document that passes this process with success is called valid.

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from Wikipedia

Arithmetic or arithmetics is the oldest and most elementary branch of mathematics.
It consists of the study of numbers, especially the properties of the traditional operations between themâ€”addition,
subtraction, multiplication and division.

Arithmetic is an elementary part of number theory, and number theory is considered to be one of the
top-level divisions of modern mathematics, along with algebra, geometry, and analysis.
The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number
theory and are sometimes still used to refer to a wider part of number theory.

Khan Academy offers practice exercises,
instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and
outside of the classroom.

We tackle math, science, computer programming, history, art history, economics, and more.

Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology
that identifies strengths and learning gaps.

We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of
Sciences, and MIT to offer specialized content.

Lists of mathematics topics

This article itemizes the various lists of mathematics topics.
Some of these lists link to hundreds of articles; some link only to a few.
This article brings together the same content organized in a manner better suited for browsing.

The purpose of this list is not similar to that of the Mathematics Subject Classification formulated by the
American Mathematical Society.
Many mathematics journals ask authors of research papers and expository articles to list subject codes from the
Mathematics Subject Classification in their papers.

The subject codes so listed are used by the two major reviewing databases, Mathematical Reviews and
Zentralblatt MATH.
This list has some items that would not fit in such a classification, such as list of exponential topics and list of
factorial and binomial topics, which may surprise the reader with the diversity of their coverage.

Portal:Mathematics

Mathematics is the study of numbers, quantity, space, structure, and change.
Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering,
medicine, and the social sciences.

Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other
fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new
mathematical disciplines, such as statistics and game theory.

Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any
application in mind.
There is no clear line separating pure and applied mathematics, and practical applications for what began as
pure mathematics are often discovered.

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