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Counting Your Way to the Sum of Squares Formula
Counting Your Way to the Sum of Squares Formula

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Inequalities and Absolute Value

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... With this in mind, we should need only about n pigeons. Given two subsets whose elements give equivalent remainders, we might adjust one set based on the other - we could use set subtraction if one set contained the other. Additionally, since the size of the subset T is not specified, it makes sense ...
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... that the 1729 number of a taxi ridden by his friend Hardy: “is a very interesting number; it is the smallest integer expressible as a sum of two different cubes in two different ways”. What is the smallest integer (not necessarily a square) that is expressible as the sum of two distinct squares in t ...
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... Vocabulary, definitions and conventions. An expression comprising constants, variables and powers / indices. The powers can only be positive integers : x2 − 4x + 7 is a polynomial, but x2 − 4/x + 7x is not. The degree or order of the polynomial is given by the highest power of the variable, so; CO ...
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5. operations with natural numbers.

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EE2420 – Digital Logic Spring 2011 - Computer Science

... By far the most common method people use for representing numbers is the Hindu-Arabic positional notation based on integer powers-of-ten, commonly referred to as a decimal system. This is certainly not the only system in use, and there are many examples in our everyday lives showing the historical i ...
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Classwork 6. 10/30/2016

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File - Mrs. Hille`s FunZone

< 1 ... 226 227 228 229 230 231 232 233 234 ... 456 >

Location arithmetic

Location arithmetic (Latin arithmeticæ localis) is the additive (non-positional) binary numeral systems, which John Napier explored as a computation technique in his treatise Rabdology (1617), both symbolically and on a chessboard-like grid.Napier's terminology, derived from using the positions of counters on the board to represent numbers, is potentially misleading in current vocabulary because the numbering system is non-positional.During Napier's time, most of the computations were made on boards with tally-marks or jetons. So, unlike it may be seen by modern reader, his goal was not to use moves of counters on a board to multiply, divide and find square roots, but rather to find a way to compute symbolically.However, when reproduced on the board, this new technique did not require mental trial-and-error computations nor complex carry memorization (unlike base 10 computations). He was so pleased by his discovery that he said in his preface ... it might be well described as more of a lark than a labor, for it carries out addition, subtraction, multiplication, division and the extraction of square roots purely by moving counters from place to place.
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