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The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
Heading names of sections (including subsections) should be unique on a page. Using the same heading more than once on a page causes problems: An internal link (wikilink) to a section, in the form [[Article name#Section heading]], will link only to the first section on the page with that name, which may not be the intended target of the link.
Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
The word problem was one of the first examples of an unsolvable problem to be found not in mathematical logic or the theory of algorithms, but in one of the central branches of classical mathematics, algebra. As a result of its unsolvability, several other problems in combinatorial group theory have been shown to be unsolvable as well.
The dotted-decimal section-numbering scheme commonly used in scientific and technical documents [6] is defined by International Standard ISO 2145. [citation needed] A document may also be considered to be divided into sections by its headings and subheadings, which may be used for a table of contents.
An alphanumeric outline includes a prefix at the beginning of each topic as a reference aid. The prefix is in the form of Roman numerals for the top level, upper-case letters (in the alphabet of the language being used) for the next level, Arabic numerals for the next level, and then lowercase letters for the next level.
A form of unary notation called Church encoding is used to represent numbers within lambda calculus. Some email spam filters tag messages with a number of asterisks in an e-mail header such as X-Spam-Bar or X-SPAM-LEVEL. The larger the number, the more likely the email is considered spam. 10: Bijective base-10: To avoid zero: 26: Bijective base-26
Spaces between the equal signs in a heading and the text of the heading make no difference. The software that powers Wikipedia renders the page exactly the same, no matter what the number of spaces. But a blank space at the beginning of a heading, just like a blank space at the start of any line with text, is always wrong. It puts a blue dotted ...