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Dividing the numerator and denominator of a fraction by the same non-zero number yields an equivalent fraction: if the numerator and the denominator of a fraction are both divisible by a number (called a factor) greater than 1, then the fraction can be reduced to an equivalent fraction with a smaller numerator and a smaller denominator.
The fraction 1/10,000 used for a local map is much larger than the 1/100,000,000 used for a global map. There is no fixed dividing line between small and large scales.) A scale model is a representation or copy of an object that is larger or smaller than the actual size of the object being represented.
Unit prefixes that are much larger or smaller than encountered in practice are seldom used, albeit valid combinations. In most contexts only a few, the most common, combinations are established. For example, prefixes for multiples greater than one thousand are rarely applied to the gram or metre.
A unit fraction is a positive fraction with one as its numerator, 1/ n. ... it can be helpful to round each item size up to the next larger unit fraction, and then ...
so that even the intermediate values of z (except when z ≈ −k −1) are mapped into an arbitrarily small neighborhood of x, the value of the continued fraction, as n gets larger and larger. Intuitively, it is almost as if the convergent continued fraction maps the entire extended complex plane into a single point. [15]
Julian Havil ends a discussion of continued fraction approximations of π with the result, describing it as "impossible to resist mentioning" in that context. [2] The purpose of the proof is not primarily to convince its readers that 22 / 7 (or 3 + 1 / 7 ) is indeed bigger than π; systematic methods of computing the value of π ...
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1. Means "greater than or equal to". That is, whatever A and B are, A ≥ B is equivalent to A > B or A = B. 2. Between two groups, may mean that the second one is a subgroup of the first one. 1. Means "much less than" and "much greater than".
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