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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.
Click the down-pointing arrow at the right of this box to display other groups; click on the appropriate group to select it. When the cursor is passed over a special-character link, the link is underlined; clicking on the underlined link enters that character at the current cursor position in the edit window. Figure 2.
[2] [3] The right-pointing triangle was adopted to indicate the direction of tape movement during playback. This design choice was straightforward: the arrow pointed in the direction the tape advanced. Over time, this symbol became standardized across various media devices, from cassette players to CD players, and eventually digital interfaces. [4]
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.
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"). The meaning or interpretation of, or response to the individual control-codes is not prescribed by the caret notation.
Most keyboard shortcuts require the user to press a single key or a sequence of keys one after the other. Other keyboard shortcuts require pressing and holding several keys simultaneously (indicated in the tables below by the + sign). Keyboard shortcuts may depend on the keyboard layout.
↑, 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.
A pointing stick (or trackpoint, also referred to generically as a nub or nipple) is a small analog stick used as a pointing device typically mounted centrally in a computer keyboard. Like other pointing devices such as mice , touchpads or trackballs , operating system software translates manipulation of the device into movements of the pointer ...