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Upward arrows are often used to indicate an increase in a numerical value, and downward arrows indicate a decrease. In mathematical logic, a right-facing arrow indicates material conditional, and a left-right (bidirectional) arrow indicates if and only if, an upwards arrow indicates the NAND operator (negation of conjunction), an downwards arrow indicates the NOR operator (negation of ...
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
↑, upwards arrow, a Unicode arrow symbol; ↑, ↑, a HTML or XML character entity ↑, codepoint 8A (hex) in EBCDIC Code page 293, used for writing APL; ↑, the glyph for character 94 (decimal) in ASCII until 1967, when it was replaced by the caret (^).
The Arrows block contains eight emoji: U+2194–U+2199 and U+21A9–U+21AA. [3] [4]The block has sixteen standardized variants defined to specify emoji-style (U+FE0F VS16) or text presentation (U+FE0E VS15) for the eight emoji, all of which default to a text presentation.
Miscellaneous Symbols and Arrows (Unicode block) includes more geometric shapes; Miscellaneous Symbols and Pictographs (Unicode block) includes several geometric shapes of different colors; Mathematical operators and symbols in Unicode; Symbols for Legacy Computing
In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976. [ 1 ] In his 1947 paper, [ 2 ] R. L. Goodstein introduced the specific sequence of operations that are now called hyperoperations .
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The use of the caret for exponentiation can be traced back to ALGOL 60, [citation needed] which expressed the exponentiation operator as an upward-pointing arrow, intended to evoke the superscript notation common in mathematics. The upward-pointing arrow is now used to signify hyperoperations in Knuth's up-arrow notation.