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15
Math.TechQA.Club
2020-11-08 00:23:46
43
Views
Which of these ways is correct to find $a$ and $b$ in $a+b=13$ in which they are in the golden ratio?
Published on
08 Nov 2020 - 0:23
#systems-of-equations
#golden-ratio
64
Views
Can the Fibonacci sum $\sum_{i=0}^N x^i F_{a+ib}$, for integers $x$, $a$, $b$, be determined by a direct formula or generating function?
Published on
13 Nov 2020 - 11:25
#sequences-and-series
#summation
#generating-functions
#fibonacci-numbers
#golden-ratio
116
Views
How to find the angles in a bisected golden rectangle?
Published on
15 Nov 2020 - 0:25
#trigonometry
#irrational-numbers
#transcendental-numbers
#golden-ratio
121
Views
Where did the Wikipedia solution to the Snub Dodecahedron originate?
Published on
18 Nov 2020 - 22:05
#polynomials
#recreational-mathematics
#problem-solving
#plane-geometry
#golden-ratio
193
Views
Asymptotic expansion of the inverse of $x\mapsto x+x^\phi$ near zero
Published on
13 Dec 2020 - 5:41
#real-analysis
#sequences-and-series
#asymptotics
#inverse-function
#golden-ratio
174
Views
Show that : $\int_{0}^{\infty}\arctan\left(\frac{2}{x^2+1}\right)dx=\pi\sqrt{\phi^{-1}}$
Published on
16 Dec 2020 - 11:22
#improper-integrals
#alternative-proof
#complex-integration
#pi
#golden-ratio
99
Views
Golden ratio, cyclic infinite nested square roots of 2 and and Geometric progression and cosine value
Published on
19 Dec 2020 - 18:55
#trigonometry
#modular-arithmetic
#integers
#nested-radicals
#golden-ratio
355
Views
Showing that the maximum value of $\sin x+\sin y\sin z$, where $x+y+z=\pi$, is the golden ratio
Published on
21 Dec 2020 - 21:30
#multivariable-calculus
#trigonometry
#lagrange-multiplier
#golden-ratio
107
Views
Nested radicals, Golden ratio, number series
Published on
09 Jan 2021 - 13:25
#trigonometry
#nested-radicals
#golden-ratio
737
Views
$\pi$ & $\phi$ (Golden ratio), Pentagon inscribed in unit circle
Published on
13 Jan 2021 - 14:41
#intuition
#pi
#nested-radicals
#golden-ratio
#infinitesimals
639
Views
golden section search algorithm: why are there two 'update' equations?
Published on
15 Jan 2021 - 5:36
#optimization
#numerical-methods
#algorithms
#golden-ratio
97
Views
Prove that $\left \lfloor \frac{1+\lfloor na+1/a\rfloor}{a} \right \rfloor=n$
Published on
31 Jan 2021 - 10:01
#algebra-precalculus
#ceiling-and-floor-functions
#golden-ratio
68
Views
Why is the intersections between $f(x)=x^{2}+x^{-2}-3$ and the x-axis resembles $\varphi$?
Published on
03 Feb 2021 - 18:25
#functions
#reference-request
#golden-ratio
80
Views
Approximation to the sum of reciprocals of prime numbers squared involving $\phi$, the golden ratio
Published on
16 Feb 2021 - 15:30
#prime-numbers
#approximation
#golden-ratio
289
Views
Prove that : $ \int_{0}^{2\ln{\varphi}}{\theta\ln{\left(2\sinh{\frac{\theta}{2}}\right)}\,\mathrm{d}\theta}=-\frac{1}{5}\zeta\left(3\right) $
Published on
19 Feb 2021 - 19:05
#integration
#riemann-zeta
#golden-ratio
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