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In statistics, fractional factorial designs are experimental designs consisting of a carefully chosen subset (fraction) of the experimental runs of a full factorial design. [1] The subset is chosen so as to exploit the sparsity-of-effects principle to expose information about the most important features of the problem studied, while using a ...
A fraction 3 / y requires three terms in its greedy expansion if and only if y ≡ 1 (mod 6), for then −y mod x = 2 and y(y + 2) / 3 is odd, so the fraction remaining after a single step of the greedy expansion, () ⌈ ⌉ = (+) is in simplest terms. The simplest fraction 3 / y with a three-term expansion is 3 / 7.
An Egyptian fraction is a finite sum of distinct unit fractions, such as. That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other. The value of an expression of this type is a positive rational number ; for instance the Egyptian fraction ...
Zazzle. Zazzle is an American online marketplace that allows designers and customers to create their own products with independent manufacturers (clothing, posters, etc.), as well as use images from participating companies. Zazzle has partnered with many brands to amass a collection of digital images from companies like Disney, Warner Brothers ...
It is known that ζ(3) is irrational (Apéry's theorem) and that infinitely many of the numbers ζ(2n + 1) : n ∈ , are irrational. There are also results on the irrationality of values of the Riemann zeta function at the elements of certain subsets of the positive odd integers; for example, at least one of ζ (5), ζ (7), ζ (9), or ζ (11 ...
The fixes range from literal code changes — changing name: String, to name: {type: String}, — to suggestions for code that might be actually missing in function calls. It’s an interesting ...
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