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Two to the power of n, written as 2 n, is the number of values in which the bits in a binary word of length n can be set, where each bit is either of two values. A word, interpreted as representing an integer in a range starting at zero, referred to as an "unsigned integer", can represent values from 0 (000...000 2) to 2 n − 1 (111...111 2) inclusively.
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.
In the last section of the Disquisitiones [50] [51] Gauss proves [52] that a regular n-gon can be constructed with straightedge and compass if φ(n) is a power of 2. If n is a power of an odd prime number the formula for the totient says its totient can be a power of two only if n is a first power and n − 1 is a power of 2. The primes that ...
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In logic, the symbol ⊨, ⊧ or is called the double turnstile.It is often read as "entails", "models", "is a semantic consequence of" or "is stronger than". [1]It is closely related to the turnstile symbol , which has a single bar across the middle, and which denotes syntactic consequence (in contrast to semantic).
The symbol is also supported (at code point 148) in a modified variant of the HP Roman-8 character set used by other HP calculators. On the Casio fx-92 Collège 2D and fx-92+ Spéciale Collège calculators, [ 13 ] the symbol represents the modulo operator; entering 5 ⊢ 2 {\displaystyle 5\vdash 2} will produce an answer of Q = 2 ; R = 1 ...
The primitive model register machine is, in effect, a multitape 2-symbol Post–Turing machine with its behaviour restricted so its tapes act like simple "counters". By the time of Melzak, Lambek, and Minsky the notion of a "computer program" produced a different type of simple machine with many left-ended tapes cut from a Post–Turing tape.
Jevons' Logic Piano in the Sydney Powerhouse Museum in 2006. A logical machine or logical abacus is a tool containing a set of parts that uses energy to perform formal logic operations through the use of truth tables. Early logical machines were mechanical devices that performed basic operations in Boolean logic.