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‘I'm going to give you the whole picture: how to work with both integers and fractions in other bases.’
‘Marshall Hall showed talent for mathematics at a young age when he constructed a seven-place table of logarithms for the positive integers up to 1000.’
‘When talking about modular arithmetic it is important to remember that we are only allowed to use integers, that is whole numbers.’
‘What about those integers in the continued fraction forms of the powers?’
‘Clearly, most integers are not squares of whole numbers.’
‘Whole numbers or integers are often the subject of such pursuits.’
‘By contrast, which is sometimes overlooked, in the arithmetical Books 7-9 multiplication of integers themselves occurs as usual.’
‘A second work is the Book of the Number which describes the decimal system for integers with place values from left to right.’
‘A perfect number is a whole number, an integer greater than zero; and when you add up all of the factors less than that number, you get that number.’
‘Here are the whole numbers/natural numbers/positive integers up to 700, in binary columns.’
‘The floor function rounds down by taking a non-integer value to the next integer below it.’
‘Fibonacci proves that the root of the equation is neither an integer nor a fraction, nor the square root of a fraction.’
‘In the continued fraction of the square root of an integer the same denominators recur periodically.’
‘In other words, a number is rational if we can write it as a fraction where the numerator and denominator are both integers.’
‘Possibly as a consequence of that, the Greek mathematicians thought of fractions in terms of ratios of integers, rather than numbers.’
‘The row of numerators starts with the pair of integers 0,1.’
2A thing complete in itself.
Origin
Early 16th century (as an adjective meaning ‘entire, whole’): from Latin, ‘intact, whole’, from in- (expressing negation) + the root of tangere ‘to touch’. Compare with entire, also with integral, integrate, and integrity.