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This operation is undefined in arithmetic, and therefore deductions based on division by zero can be contradictory. If we assume that a non-zero answer n {\displaystyle n} exists when some non-zero number k {\displaystyle k} is divided by zero, then that would imply that k = n × 0 {\displaystyle k=n\times 0} .
This is an accepted version of this page This is the latest accepted revision, reviewed on 9 January 2025. Look up undefined in Wiktionary, the free dictionary. Undefined may refer to: Mathematics Undefined (mathematics), with several related meanings Indeterminate form, in calculus Computing Undefined behavior, computer code whose behavior is not specified under certain conditions Undefined ...
The latter two symbols were introduced by the Bourbaki group (specifically André Weil) in 1939, inspired by the letter Ø in the Danish and Norwegian alphabets (and not related in any way to the Greek letter Φ). [2] Empty sets are used in set operations. For example: = {,,,,} = {,,,}
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...
↑, a mathematical symbol for "undefined" ↑, a mathematical symbol for "approaching from below" ↑, a notation of Knuth's up-arrow notation for very large integers; ↑, a mathematical game theory position Up; ↑ or Sheffer stroke, the logical connective "not both" or NAND; ↑, the APL function 'take'
An undefined value must not be confused with empty string, Boolean "false" or other "empty" (but defined) values. Depending on circumstances, evaluation to an undefined value may lead to exception or undefined behaviour , but in some programming languages undefined values can occur during a normal, predictable course of program execution.
The replacement character (often displayed as a black rhombus with a white question mark) is a symbol found in the Unicode standard at code point U+FFFD in the Specials table. It is used to indicate problems when a system is unable to render a stream of data to correct symbols.
Typographical symbols and punctuation marks are marks and symbols used in typography with a variety of purposes such as to help with legibility and accessibility, or to identify special cases. This list gives those most commonly encountered with Latin script. For a far more comprehensive list of symbols and signs, see List of Unicode characters.