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propositional logic, Boolean algebra, first-order logic. ⊥ {\displaystyle \bot } denotes a proposition that is always false. The symbol ⊥ may also refer to perpendicular lines. The proposition. ⊥ ∧ P {\displaystyle \bot \wedge P} is always false since at least one of the two is unconditionally false. ∀.
The summation of an explicit sequence is denoted as a succession of additions. For example, summation of [1, 2, 4, 2] is denoted 1 + 2 + 4 + 2, and results in 9, that is, 1 + 2 + 4 + 2 = 9. Because addition is associative and commutative, there is no need for parentheses, and the result is the same irrespective of the order of the summands ...
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md5sum. md5sum is a computer program that calculates and verifies 128-bit MD5 hashes, as described in RFC 1321. The MD5 hash functions as a compact digital fingerprint of a file. As with all such hashing algorithms, there is theoretically an unlimited number of files that will have any given MD5 hash. However, it is very unlikely that any two ...
B4X is a suite of rapid application development IDEs and proprietary programming language that allows the creation of applications on the following platforms: Google Android, Apple iOS, Java, Raspberry Pi and Arduino. Although the B4X syntax is very similar to BASIC, it is an entirely new language. [ 2]
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Empty sum. In mathematics, an empty sum, or nullary sum, [ 1] is a summation where the number of terms is zero. The natural way to extend non-empty sums [ 2] is to let the empty sum be the additive identity . Let , , , ... be a sequence of numbers, and let. be the sum of the first m terms of the sequence. This satisfies the recurrence.
Summation by parts. In mathematics, summation by parts transforms the summation of products of sequences into other summations, often simplifying the computation or (especially) estimation of certain types of sums. It is also called Abel's lemma or Abel transformation, named after Niels Henrik Abel who introduced it in 1826.