Cos^2 π/6In today's blog, I show the proof that ∑ 1/n 2 = π 2 /6 For background on Basel's problem and Leonhard Euler's technique for arriving at the solution, see here In today's blog, I show a proof that Euler's solution is correct Most of the content in today's blog is taken from the Wikipedia article on the Basel Problem See referencesVienādība cosα = cosβ ir spēkā tad un tikai tad, ja α=β2πn vai α=β2πn, n∈Z; 14As volume of specimen remain constant, A 0 × L 0 = A1 × L1 2 π 2 π 2 L1 d d 0 × L 0 = d1 × L1 ∴ = 0 4 4 L 0 d1 2 d d ∴ ∈= log 0 d = 2 log 0 1 d1 ∈1 = true strain for first extension 9 ∴ 2 log = 0091 8 6 ∈2 = true strain for second extension d 9 = 2 log 0 = 2 log = d1 Applying Hollomon equation, n σ1 = K∈1 σ
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