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THE SUM-OF-DIGITS FUNCTION FOR COMPLEX BASES
THE SUM-OF-DIGITS FUNCTION FOR COMPLEX BASES

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bhp billiton — university of melbourne school mathematics

... 17, we may take abc = 3 × 11 × 5 = 165 and cba = 3 × 11 × 17 = 561. As we can see, the numbers 165 and 561 are indeed mirror numbers and their product is 92565. 2. Some positive integers may be written as sums involving all the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 exactly once. For example 180 = 0 + ...
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Ezio Fornero, Infinity in Mathematics. A Brief Introduction
Ezio Fornero, Infinity in Mathematics. A Brief Introduction

... But this hypothesis is contradicted by determining at least one real number which cannot belong to this list. Indeed, by succeeding in finding even only one real number not belonging to the list, we prove this numbering isn’t complete. We can construct a real number different from each number of th ...
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Positional notation

Positional notation or place-value notation is a method of representing or encoding numbers. Positional notation is distinguished from other notations (such as Roman numerals) for its use of the same symbol for the different orders of magnitude (for example, the ""ones place"", ""tens place"", ""hundreds place""). This greatly simplified arithmetic leading to the rapid spread of the notation across the world.With the use of a radix point (decimal point in base-10), the notation can be extended to include fractions and the numeric expansions of real numbers. The Babylonian numeral system, base-60, was the first positional system developed, and is still used today to count time and angles. The Hindu–Arabic numeral system, base-10, is the most commonly used system in the world today for most calculations.
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