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Certainly, the cross-multiplication one members is composed by the multiplication of the bigger numerator of a fraction by the minor denominator of the other fraction, and the other member is composed by the multiplication of the minor numerator by the bigger denominator.
If the denominator is a perfect square, the square root is found by taking the square root of the numerator and denominator separately.
The formula holds because the number of individuals in the sibling sample is simply givent by the denominator (mothers times number of ofspring) and the (k-1) in the numerator comes from each of the k children having k − 1 siblings.
50 𝑒𝑛𝑒𝑟𝑔𝑦) + (𝑡𝑖𝑚𝑒 ̅̅̅̅̅̅ 𝑝𝑒𝑟 𝑐𝑦𝑐𝑙𝑒 𝑠𝑝𝑒𝑛𝑡 𝑤𝑖𝑡ℎ ≥ 50 𝑒𝑛𝑒𝑟𝑔𝑦) (𝑡𝑖𝑚𝑒 (the denominator is also just equal to the total time of a cycle) Next, notice that: