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The Unicode Standard encodes almost all standard characters used in mathematics. [1] Unicode Technical Report #25 provides comprehensive information about the character repertoire, their properties, and guidelines for implementation. [1] Mathematical operators and symbols are in multiple Unicode blocks. Some of these blocks are dedicated to, or ...
Thus "H₂O" (using a subscript 2 character) is supposed to be identical to "H 2 O" (with subscript markup). In reality, many fonts that include these characters ignore the Unicode definition, and instead design the digits for mathematical numerator and denominator glyphs, [3] [4] which are aligned with the cap line and the baseline, respectively.
4 Line feed is used for "end of line" in text files on Unix / Linux systems. 5 Carriage Return (accompanied by line feed) is used as "end of line" character by Windows, DOS, and most minicomputers other than Unix- / Linux-based systems 6 Control-O has been the "discard output" key. Output is not sent to the terminal, but discarded, until ...
Introduced in Python 2.2 as an optional feature and finalized in version 2.3, generators are Python's mechanism for lazy evaluation of a function that would otherwise return a space-prohibitive or computationally intensive list. This is an example to lazily generate the prime numbers:
There are thus no zero objects in Ord. The categorical product in Ord is given by the product order on the cartesian product. We have a forgetful functor Ord → Set that assigns to each preordered set the underlying set, and to each order-preserving function the underlying function. This functor is faithful, and therefore Ord is a concrete ...
To decode a message, You apply the same substitution rules, but this time on the ROT13 encrypted text. (Any other character, for example numbers, symbols, punctuation or whitespace, are left unchanged.) Because there are 26 letters in the Latin alphabet and 26 = 2 × 13, the ROT13 function is its own inverse: [2]
In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective , and if it exists, is denoted by f − 1 . {\displaystyle f^{-1}.}
That is, if each character in the alphabet of a regular language is substituted by another regular language, the result is still a regular language. [2] Similarly, context-free languages are closed under string substitution. [3] [note 1] A simple example is the conversion f uc (.) to uppercase, which may be defined e.g. as follows: