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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.
Often a control character can be typed on a keyboard by holding down the Ctrl and typing the character shown after the caret. The notation is often used to describe keyboard shortcuts even though the control character is not actually used (as in "type ^X to cut the text").
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 ...
Corner quotes, also called “Quine quotes”; for quasi-quotation, i.e. quoting specific context of unspecified (“variable”) expressions; [4] also used for denoting Gödel number; [5] for example “āGā” denotes the Gödel number of G. (Typographical note: although the quotes appears as a “pair” in unicode (231C and 231D), they ...
If the character set does not contain an up arrow, the caret (^) is used instead. The superscript notation a b {\displaystyle a^{b}} doesn't lend itself well to generalization, which explains why Knuth chose to work from the inline notation a ↑ b {\displaystyle a\uparrow b} instead.
Keyboard shortcuts make it easier and quicker to perform some simple tasks in your AOL Mail. Access all shortcuts by pressing shift+? on your keyboard. All shortcuts are formatted for Windows computers, but most will work on a Mac by substituting Cmd for Ctrl or Option for Alt. General keyboard shortcuts
Media controls on a multimedia keyboard. From top; left to right: skip backward, skip forward, stop, play/pause. Media control symbols are commonly found on both software and physical media players, remote controls, and multimedia keyboards. Their application is described in ISO/IEC 18035. [1]
↑, 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' "Increased" (and similar meanings), in medical notation; ↑, a chemical symbol for production of gas, which bubbles up.