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Is my understanding of discontinuity correct?

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#calculus #functions #definition #continuity
56
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How do I prove that the following function is increasing in $t\geq 1$ for any $1\leq y \leq t$?

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#functions #functional-calculus #provability
206
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How are $x$ and $\ln(\ln(x))$ related?

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#functions #logarithms #graphing-functions
257
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Equality of Ratio of Gamma Functions

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#real-analysis #functions #factorial #gamma-function #ratio
197
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Problem regarding convergence of second order

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#functions #convergence-divergence #numerical-methods #roots #newton-raphson
1.3k
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Are two functions $f$ and $g$ with linear independent derivatives neccessarily linearly independent and vice versa?

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#linear-algebra #ordinary-differential-equations #functions
94
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Integration and derivative together

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#integration #functions
287
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Compute the period of this function $f(x)=7+3\cos{(\pi x)}-8\sin{(\pi x)}+4\cos{(2\pi x)}-6\sin{(2\pi x)}$

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#functions #trigonometry #periodic-functions
267
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Find number of functions

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#combinatorics #functions #contest-math
111
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On a new definition of fractional derivative

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#calculus #real-analysis #functions #derivatives
82
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Manipulating a functional equation

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#functions #contest-math #functional-equations
1.2k
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Proof verification: lower semi continuous at x implies that the lim inf of every convergent sequence is bigger than f(x)

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#real-analysis #functions #proof-verification #continuity #proof-writing
97
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Proof of injectivity,

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#linear-algebra #functions #proof-explanation
29
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Relation between difference of values of an increasing function and difference of its arguments

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#calculus #real-analysis #functions
67
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Number of functions in $g(g(x))=g(x)$

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#functions #functional-equations

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