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How would you write incremental power of tens in mathematical terms

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#sequences-and-series #formal-power-series
592
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Finding the coefficients of the reciprocal of a function using Cauchy Product

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#generating-functions #formal-power-series
266
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Finding the first three coefficients of the reciprocal of a function using Cauchy Product

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#generating-functions #formal-power-series
52
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Representing a series in terms of another

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#sequences-and-series #power-series #formal-power-series
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How to prove an expression of log-sum-exp type is convex in DCP?

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#convex-optimization #generating-functions #python #formal-power-series #cvxpy
36
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Inverse transformation formal series

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#inverse #change-of-variable #formal-power-series
413
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Is $K[X]\hookrightarrow K[[X]]$ an epimorphism?

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#abstract-algebra #polynomials #commutative-algebra #formal-power-series
922
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$p$-adic logarithm is a homomorphism, formal power series proof

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#p-adic-number-theory #formal-power-series
706
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Definition of $p$-adic $(1+x)^\alpha$ via binomial series and log/exp

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#p-adic-number-theory #formal-power-series
227
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Indices Question | Find the value of n.

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#algebra-precalculus #exponential-function #formal-power-series
324
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Existence of closed form function for every power series

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#power-series #closed-form #analytic-functions #formal-power-series
111
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On finite generation of extended submodules in formal power series module

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#ring-theory #commutative-algebra #modules #maximal-and-prime-ideals #formal-power-series
59
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Find a power series representation of $\frac{8 - x}{x^2 + x + 1}.$

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#power-series #formal-power-series
60
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Solutions of the linear equation $a_1Y_1 + \cdots+ a_mY_m = 0$

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#linear-algebra #abstract-algebra #commutative-algebra #formal-power-series
30
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Value of $a_k$ in the power serie representation of $\frac{\ln{x}}{x^3-9x}= \sum_{k=0}^{\infty} a_k (2x-3)^k$

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#sequences-and-series #power-series #formal-power-series

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