Breastfeeding is the ideal and most natural way of nurturing infants. The importance of breastfeeding has been proved unequivocally, and UNICEF and WHO have issued guidelines to ensure breastfeeding. More than 14 centuries is that in Islamic teachings with the most comprehensive, most beautiful and most powerful motivation, is raised important points in the form of advice and education about br...

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We investigate improvements to the algorithm for the computation of ideal class groups described by Jacobson in the imaginary quadratic case. These improvements rely on the large prime strategy and a new method for performing the linear algebra phase. We achieve a significant speed-up and are able to compute ideal class groups with discriminants of 110 decimal digits in less than a week.

which is impossible since the right side is even. The proof that (2, 1− √ −5) 6= (1) is similar. For another proof, complex conjugation is an operation on ideals, a 7→ a := {α : α ∈ a} which respects addition and multiplication of ideals, and (α, β) = (α, β). In particular, the conjugate of (2, 1 + √ −5) is (2, 1− √ −5), so if (2, 1 + √ −5) = (1) then (2, 1− √ −5) = (1), so the product (2, 1 + ...