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What does $\sum_{(a_1,a_2,...,a_n)\in\{1,x\}^n} a_1a_2\cdot\cdot\cdot a_n$ mean?

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#summation #notation
971
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Find the sum of the series: $\cos^3 \alpha +\cos^3 {3\alpha} + \cos^3 {5\alpha}+....+\cos^3 {(2n-1)\alpha}$.

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#summation #trigonometric-series #telescopic-series
768
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Evaluating the limit of a sum using integration

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#real-analysis #integration #number-theory #limits #summation
1k
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sigma notation without elements and upper bound

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#summation #notation #algorithms
181
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What does the summation mean in the general Leibniz rule for 3 functions?

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#derivatives #summation #notation
132
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Finding the exact sum of this power series

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#real-analysis #sequences-and-series #summation #power-series
37
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Add the positive multiples of 2 that are less than or equal to 300.

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#sequences-and-series #summation
382
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Evaluating a particular sum of products of exponential functions

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#sequences-and-series #summation #numerical-methods #closed-form #convergence-acceleration
40
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What is a good estimate for this log sum?

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#sequences-and-series #summation #logarithms #asymptotics #approximation
61
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Summation of a Progression

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#summation #arithmetic-progressions
143
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Radius of Convergence of the 'product' of two power series of the same radius of convergence

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#real-analysis #convergence-divergence #summation #power-series
92
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Is there an analytical solution to this equation?

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#analysis #summation
95
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Closed form for the sum?

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#sequences-and-series #summation #closed-form #riemann-zeta
282
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Series that evaluates to different values

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#real-analysis #sequences-and-series #summation
150
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Trigonometric Summation $\sum_{r=0}^∞ \frac {\sin(r θ)}{3^r}$

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#trigonometry #summation #trigonometric-series

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