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 Feb7 awarded Yearling Sep30 awarded Explainer Aug15 revised 'Canonical' form of permutations, product of transpositions I added definition/description; deleted 128 characters in body Aug15 asked 'Canonical' form of permutations, product of transpositions May1 answered Use logarithmic differentiation to find the derivative of $y = (1 +\frac1x)^{2x}$ Mar30 comment Let $0\,^{\circ}\mathrm{} < A < 45\,^{\circ}\mathrm{}$ . If $420(\tan A + \cot A) = 841$ then ﬁnd the value of $(116 \cos A − 58 \sin A)$. @labbhattacharjee Ouch, yes. :) Mar30 comment Let $0\,^{\circ}\mathrm{} < A < 45\,^{\circ}\mathrm{}$ . If $420(\tan A + \cot A) = 841$ then ﬁnd the value of $(116 \cos A − 58 \sin A)$. $\tan A+\frac1{\tan A}=\frac{841}{420} \iff420\tan^2A-841\tan A+240=0$ Mar30 comment Adding two vectors such that the resulting vector is perpendicular to a third vector $(b+tc)\cdot a=0\\ (1+2t, 4+t, -4-3t)\cdot(-3, 3, 1)=0\\ (1+2t)\cdot(-3)+(4+t)\cdot 3+(-4-3t)\cdot 1=0\\ t=\frac{5}{6}$ Mar30 revised What is wrong in my “solution”?(task about multiple root,parameter) Formatting fixes Mar30 suggested approved edit on What is wrong in my “solution”?(task about multiple root,parameter) Feb7 awarded Yearling Oct7 comment Approximation of $26!$ 26!/2^88 ~ 4/3. It's really approximate and is, imho, simply coincidence. Sep16 revised How much weight is on each person in a human pyramid? edited body Sep15 revised How much weight is on each person in a human pyramid? I simplified solution a little bit. Sep15 comment How much weight is on each person in a human pyramid? I believe there's no closed-form expression. Sep15 revised How much weight is on each person in a human pyramid? Fixed minor mistake Sep15 revised How much weight is on each person in a human pyramid? Wrote binomials in the way that's more popular Sep15 revised How much weight is on each person in a human pyramid? Second part added Sep15 revised How much weight is on each person in a human pyramid? Added first part of explanation Sep14 revised How much weight is on each person in a human pyramid? added 20 characters in body