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In what way knowing that $f$ is increasing helps me here?

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#analysis #solution-verification #proof-explanation #convex-analysis #monotone-functions
38
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Why doesn't Euclid prove uniqueness of a chord from the fact that length is strictly decreasing?

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#geometry #euclidean-geometry #monotone-functions
39
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Name for functions over metric VS that preserve scalar product inequalities?

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#vector-spaces #soft-question #monotone-functions
84
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Is the set of non-decreasing functions from $[0,1]$ to a compact subset of $\mathbb{R}$ compact and first countable?

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#general-topology #functional-analysis #monotone-functions
146
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Name of this monotone-like property of a function

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#terminology #monotone-functions
129
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Positive definiteness of a cross-derivative equivalent condition

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#multivariable-calculus #positive-definite #monotone-functions
199
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Monotonicity of a multivariate function

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#multivariable-calculus #derivatives #monotone-functions #hessian-matrix
283
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How to prove that $f(x)=\frac{ \cot(\frac{\pi}{x+1}) }{ \cot(\frac{\pi}{x}) }\cdot\frac{x}{x+1}$ is strictly deceasing for $x>2$?

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#calculus #derivatives #inequality #monotone-functions
28
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Monotonicity of a function involving Normal cdf

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#derivatives #normal-distribution #monotone-functions
179
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Dirichlet's test with unimodal coefficients

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#real-analysis #sequences-and-series #reference-request #upper-lower-bounds #monotone-functions
110
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Monotonicity of Convex Conjugate Divided by Quadratic

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#real-analysis #convex-analysis #monotone-functions
113
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Equivalent condition for the following monotone-like condition for multivariate function

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#multivariable-calculus #functions #monotone-functions
14
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Monotonic family of monotonic functions

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#monotone-functions
59
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Proving that this sigmoid sequence converges

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#sequences-and-series #convergence-divergence #upper-lower-bounds #monotone-functions
44
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Question regarding monotone relations

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#operator-theory #relations #monotone-functions #monotone-operator-theory

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