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Is it possible to find $\eta>0$ such that $\forall x\in (\alpha-\eta,\alpha+\eta),\qquad \dfrac{f''(x)}{f'(x)}<1$

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#analysis #numerical-methods
228
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How to integrate $\int{\frac{x^2+5}{x^3+3x}}dx$

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#real-analysis #integration #analysis #partial-fractions
32
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Is this a good imagination of $f$ (4.1 Remark; Rduin)

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#real-analysis #analysis #continuity
53
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Subtracting 1 from a generic low pass filter

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#analysis #fourier-analysis #convolution #signal-processing #computer-vision
37
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A few notations about Taylor Expansion in Empirical Likelihood by Owen.

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#analysis #probability-theory #taylor-expansion
85
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check if $\sum_{k=1}^{\infty}{ \left( \frac{7k-2}{8k-3 \sqrt{k}}\right)}^k$ converges

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#real-analysis #sequences-and-series #analysis #limits
69
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Question about area calculation

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#analysis #conic-sections #area #polar-coordinates
49
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Understanding the definition of a limit using neighborhoods in $R^1$ (Rudin)

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#real-analysis #analysis #limits
437
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Marsden Analysis

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#calculus #real-analysis #analysis
37
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Uniform Boundedness for Non Linear Operators

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#functional-analysis #analysis
64
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Understanding a proof related to mollifiers

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#analysis #partial-differential-equations #sobolev-spaces
78
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Proofs Involving the Triangle Inequality

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#geometry #analysis #inequality #proof-explanation
3.5k
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Understanding the Stone-Weierstrass Theorem in Rudin's Principle of Mathematical Analysis

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#real-analysis #analysis #uniform-convergence #weierstrass-approximation
53
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Solve a second order non-linear ODE

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#ordinary-differential-equations #analysis
704
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Is an integral itself a function or a constant?

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#real-analysis #analysis

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