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Part of proving Schroder-Bernstein Thm.

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#functions #elementary-set-theory
328
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The joint density of X and Y is given by...

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#functions #independence #variance #density-function
294
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Solving $\frac{\sqrt{r+1}-\sqrt{r-1}}{\sqrt{r+1}+\sqrt{r-1}}=\log_2\left(|x-2|+|x+2|\right)-\frac{11}{9}$, where $r=\frac{1+x^2}{2x}$

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#algebra-precalculus #functions #logarithms
61
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Counting zeros of parametrical functions.

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#calculus #real-analysis #functions
3.1k
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How to understand the function $o(h) + o(h) = o(h)$?

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#limits #functions
55
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How do I find range of this function?

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#algebra-precalculus #functions
280
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Why application of Sharkovskii's Theorem to Collatz is wrong?

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#functions #dynamical-systems #fixed-point-theorems #collatz-conjecture
281
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Solving the functional equation $f(f(x))=3x$ over the naturals.

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#functions #functional-equations
69
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Local minimum of a polynomial

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#real-analysis #functional-analysis #functions #polynomials
96
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Can a quotient of polynomials be simplified before been analyzed?

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#real-analysis #functions #roots
1.4k
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Why is the domain of $x^x$ positive real numbers?

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#functions #exponential-function #graphing-functions
128
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Difference between a function and polynomial

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#functions #polynomials #finite-fields
33
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constant rate of drain + constant rate of fill

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#functions
1.6k
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Visual representation of the domain and range of a function?

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#functions #graphing-functions
1.3k
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Number of points of discontinuity of $f(x)=\text{sgn}(\sin^2 x-\sin x-1)$ in $x\in(0,4\pi)$

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#functions

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