Recent content by dromarand
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Undergrad Open problems in continued fractions
## \sqrt{3} = 1+\frac{\sqrt{2}}{1+\frac{\sqrt{2+\sqrt{2}}}{1+\frac{\sqrt{2+\sqrt{2+\sqrt{2}}}}{\ddots}}}##- dromarand
- Post #8
- Forum: General Math
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Proving the binomial identity with n-2 terms
Please this: ##2^{p-1}\left(2^{p}-1\right)=\sum_{k=0}^{n=\left\lfloor\frac{p-1}{4}\right\rfloor}\binom{2p+2}{4k+p-4n-1}##- dromarand
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Open problems in continued fractions
##\frac{2}{ \pi } = 1\cdot \frac{1}{2\cdot \frac{2}{3\cdot \frac{3}{\ddots} } }##- dromarand
- Post #7
- Forum: General Math
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Undergrad Is Riemann's Zeta at 2 Related to Pi through Prime Numbers?
## \prod_{p \ prime}{} \frac{p^{2}+1}{p^{2}-1} = \frac{5}{2} ## ## \prod_{p \ prime}{} \frac{p^{4}+1}{p^{4}-1} = \frac{7}{6} ##- dromarand
- Post #58
- Forum: General Math
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Graduate An interesting series - what does it converge to?
##\pi = 6 - \sum_{n=1}^\infty \frac{1}{\left(n+\frac{1}{2}\right)\left(n-\frac{1}{2}\right)} + \frac{1}{2\left(n+\frac{1}{4}\right)\left(n-\frac{1}{4}\right)}## ##\phi = \sqrt{2+\frac{1}{\sqrt{2+\frac{1}{\sqrt{2+...}}}}}## -
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Graduate An interesting series - what does it converge to?
\pi = 6 - \sum_{n=1}^{ \infty } \frac{1}{\left( n+ \frac{1}{2} \right)\left( n- \frac{1}{2} \right) } + \frac{1}{2\left( n+ \frac{1}{4} \right)\left( n- \frac{1}{4} \right) } \phi = \sqrt{2+ \frac{1}{ \sqrt{2+ \frac{1}{ \sqrt{2+...} } } } } -
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High School Meaning of Multiplication and Division in Physics
The ideal model of the discussed experiment assumes that the first falling snowflakes (constant vertical precipitation velocity, constant density) touch the ground at the moment of starting the measurement of the dozer movement (horizontal, uniform rectilinear motion). Which dozer, under the...- dromarand
- Post #66
- Forum: Other Physics Topics