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9
Math.TechQA.Club
2026-04-15 05:22:36
230
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Is $\int_0^{\pi/2}\Re\left\{\ln^a(1\pm e^{2ix})\right\}dx=0$ a new result?
Published on
15 Apr 2026 - 5:22
#integration
#sequences-and-series
#complex-analysis
#induction
#alternative-proof
363
Views
$\lim_{n \to \infty} (a_n - \sqrt{2n})$ if $ a_1 = 1$ and $a_{n+1} = a_n +\frac{1}{a_n}$.
Published on
17 Apr 2026 - 7:01
#calculus
#sequences-and-series
#limits
#convergence-divergence
#alternative-proof
94
Views
Exercise 9, Section 5.B of Linear Algebra Done Right
Published on
14 Apr 2026 - 19:06
#linear-algebra
#solution-verification
#proof-writing
#eigenvalues-eigenvectors
#alternative-proof
103
Views
Exercise 2, Section 6.6 of Hoffman’s Linear Algebra
Published on
10 Apr 2026 - 18:14
#linear-algebra
#solution-verification
#proof-writing
#alternative-proof
#direct-sum
189
Views
Intuition for proofs of Minkowski Inequality
Published on
12 Apr 2026 - 6:54
#inequality
#soft-question
#intuition
#alternative-proof
#holder-inequality
578
Views
Evaluating $\int_0^{\frac{\pi}{2}}x^2 \cot x\ln(1-\sin x)\mathrm{d}x$
Published on
15 Apr 2026 - 6:06
#integration
#sequences-and-series
#special-functions
#alternative-proof
#harmonic-numbers
240
Views
Prove that the two straight lines $(x²+y²)(\cos²θ\sin²α+\sin²θ)=(x\tanα–y\sinθ)²$ include an angle $2α$
Published on
16 Apr 2026 - 8:43
#solution-verification
#analytic-geometry
#coordinate-systems
#alternative-proof
79
Views
Intuition for use of parallelogram identity to prove existence of closest point in a closed convex set of a Hilbert space
Published on
17 Apr 2026 - 11:36
#functional-analysis
#soft-question
#hilbert-spaces
#intuition
#alternative-proof
132
Views
Proof that $(x+y)^n = x^n + y^n$ iff. $x = 0 \lor y = 0 \lor x = -y$ for $n$ odd and $\geq 3$
Published on
02 May 2026 - 15:07
#discrete-mathematics
#induction
#binomial-coefficients
#exponentiation
#alternative-proof
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