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Pascal has two forms of the while loop, while and repeat. While repeats one statement (unless enclosed in a begin-end block) as long as the condition is true. The repeat statement repetitively executes a block of one or more statements through an until statement and continues repeating unless the condition is false. The main difference between ...
PHP and MySQL Programming/Print version - Wikibooks, open books for an open world; Author: hbossot: Image title: File change date and time: 22:12, 9 September 2016: Date and time of digitizing: 22:12, 9 September 2016: Software used: PDFCreator 2.2.2.0: Conversion program: PDFCreator 2.2.2.0: Encrypted: no: Page size: 595 x 842 pts (A4) Version ...
For 8-bit integers the table of quarter squares will have 2 9 −1=511 entries (one entry for the full range 0..510 of possible sums, the differences using only the first 256 entries in range 0..255) or 2 9 −1=511 entries (using for negative differences the technique of 2-complements and 9-bit masking, which avoids testing the sign of ...
The oldest known multiplication tables were used by the Babylonians about 4000 years ago. [2] However, they used a base of 60. [2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period. [2] "Table of Pythagoras" on Napier's bones [3]
While the above algorithm is correct, it is slower than multiplication in the standard representation because of the need to multiply by R′ and divide by N. Montgomery reduction , also known as REDC, is an algorithm that simultaneously computes the product by R ′ and reduces modulo N more quickly than the naïve method.
Graphs of functions commonly used in the analysis of algorithms, showing the number of operations versus input size for each function. The following tables list the computational complexity of various algorithms for common mathematical operations.
The definition of matrix multiplication is that if C = AB for an n × m matrix A and an m × p matrix B, then C is an n × p matrix with entries = =. From this, a simple algorithm can be constructed which loops over the indices i from 1 through n and j from 1 through p, computing the above using a nested loop: