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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 is a well-known example of an undecidable problem. If A {\displaystyle A} is a finite set of generators for G {\displaystyle G} , then the word problem is the membership problem for the formal language of all words in A {\displaystyle A} and a formal set of inverses that map to the identity under the natural map from the free ...
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]
In the Arabic, Syriac, Latin, and Cyrillic scripts, many or all letters in a word are connected (while others must not), sometimes making a word one single complex stroke. In Hebrew cursive and Roman cursive, the letters are not connected. In Maharashtra, there was a cursive alphabet, known as the 'Modi' script, used to write the Marathi language.
The scripts spread naturally to Southeast Asia, at ports on trading routes. [2] At these trading posts, ancient inscriptions have been found in Sanskrit, using scripts that originated in India. At first, inscriptions were made in Indian languages, but later the scripts were used to write the local Southeast Asian languages.
Roman numerals, the Brahmi and Chinese numerals for one through three (一 二 三), and rod numerals were derived from tally marks, as possibly was the ogham script. [7] Base 1 arithmetic notation system is a unary positional system similar to tally marks. It is rarely used as a practical base for counting due to its difficult readability.
A constructed writing system or a neography is a writing system specifically created by an individual or group, rather than having evolved as part of a language or culture like a natural script. Some are designed for use with constructed languages , although several of them are used in linguistic experimentation or for other more practical ends ...
The Great Mathematical Problems [note 1] is a 2013 book by Ian Stewart. It discusses fourteen [ 1 ] mathematical problems and is written for laypersons. [ 2 ] The book has received positive reviews.
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