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... Thus, the first occurrence of an integer x+1 in f is due to the appending tuple hx+1, 1i or an appending tuple hx0 , yi with x0 < x+1 and x0 +y > x+1. In the first case, the appending tuple hx+1, 1i is processed after hx, 1i, which appends x to the output. In the second case, the processing of an ap ...
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§ 1-1 Functions

... progression and the second is arithmetic. To multiply 16 times 64 from the left column they would add 4 and 6 from the right column to get 10 and look up the corresponding number 1024 on the left ...
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< 1 ... 57 58 59 60 61 62 63 64 65 ... 434 >

Arithmetic



Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, ""number"") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.
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