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Nonmonotone functions in compact convex space

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#real-analysis #monotone-functions #multivalued-functions #monotone-class-theorem
316
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If $f:R→R, g:R→R$ are continuous bijective, then prove/disprove $h(x)=f(x)−g(x)$ is a bijection function.

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#real-analysis #continuity #monotone-functions
63
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Prove: If a continuous function is monotonic in $(a, b) $ then it is monotonic in $[a, b] $

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#calculus #algebra-precalculus #continuity #monotone-functions
500
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Why $g$ is not monotonic in any neighborhood of $0?$

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#real-analysis #derivatives #monotone-functions
3.6k
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Convex + Monotone =? Convex

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#convex-analysis #convex-optimization #monotone-functions
450
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Proving inverse function inequalities.

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#calculus #algebra-precalculus #derivatives #inverse-function #monotone-functions
233
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Let be $f:\mathbb R \to \mathbb R$ be a function satisfying $f(x+y)=f(x).f(y)$. Which one of the following are correct?

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#real-analysis #limits #functions #monotone-functions
20
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Monotonicity finding based on given releationships

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#monotone-functions
907
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integral of monotonic increasing function

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#integration #analysis #limits #fourier-series #monotone-functions
276
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Example of a continuous, atomless and strictly increasing density over an unbounded support

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#probability-distributions #random-variables #density-function #monotone-functions
50
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Does $f(x)=x(2^{\frac{1}{x}}-1)$ decrease with $x\in[0,\infty)$?

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#calculus #monotone-functions
70
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Positive semi-definiteness of the Jacobian of the partial derivatives of distinct convex functions

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#derivatives #convex-analysis #monotone-functions #jacobian #hessian-matrix
26
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Probability and locally monotone functions

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#probability #monotone-functions
55
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Correction needed: Sequences

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#sequences-and-series #monotone-functions #upper-lower-bounds
861
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Monotonicity at a Point - How is it checked?

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#calculus #functions #derivatives #monotone-functions

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