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}}}##
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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}##
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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} } }##
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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} ##
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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...