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All questions asked by user47106

List all solved & unsolved questions asked by user47106

error after an upgrade of MikTex (interfaces and pgfkeys)

1   TeX - LaTeX Asked on 01/09/2021

errors  interfaces  pgfkeys 

Question on cardinality of a set

0   Mathematics Asked on 11/06/2021

cardinals  convergence divergence  functional analysis  real analysis 

$X$ is a random variable with PDF $f$, with $f$ continuous at $x=a$. Then $lim_{varepsilonto0^-}frac{1}{varepsilon}P(Xin(a,a+varepsilon))=f(a)$

0   Mathematics Asked on 11/06/2021

probability theory  real analysis  solution verification 

Suppose that $N$ and $r$ are positive integers. Prove or disprove that if $N$ is an even integer and $r$ is odd, then $binom{N}{r}$ is even.

3   Mathematics Asked on 11/02/2021

binomial coefficients  combinatorics  elementary number theory 

Confusions about the proof of representations of isometries as products of reflections.

1   Mathematics Asked on 11/02/2021

euclidean geometry  geometry  isometry  linear algebra 

Combinatorics doubts

1   Mathematics Asked on 11/02/2021

combinatorics  discrete mathematics  probability 

$limlimits_{n rightarrow infty} e^{-2n}sum_{k=0}^n frac{(2n)^k}{k!}$

2   Mathematics Asked on 11/02/2021

real analysis  sequences and series 

Why is $[1,2]$ relatively open in $[1,2] cup [3,4]$?

1   Mathematics Asked on 11/02/2021

general topology  metric spaces  real analysis 

Algebra - How can I graph this function and work with exponential function with base $a$?

1   Mathematics Asked on 11/02/2021

algebra precalculus 

Best approximation of sum of unit vectors by a smaller subset

2   Mathematics Asked on 11/02/2021

combinatorics  discrete optimization  integer programming  linear algebra  optimization 

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