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Why is independent condition needed in $Pr(X=Y)=0$

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#probability #statistics #measure-theory #proof-verification #fake-proofs
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Proving the Borel-Cantelli Lemma

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#real-analysis #measure-theory #proof-verification
733
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Strong and weak limits in a dense set for a sequence of bounded operators

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#functional-analysis #proof-verification #weak-convergence
221
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Let $N$ be the set of positive integers and define $m \leq n$ to mean that $m$ divides $n$. Is $N$ a lattice?

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#combinatorics #proof-verification
89
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Proof-verification: Show that there exists an exact sequence

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#abstract-algebra #proof-verification #modules #exact-sequence
190
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Problem 4 part (a) from Stein's Real Analysis

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#real-analysis #measure-theory #proof-verification
62
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2-vertex-connected Graph must contain a cycle

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#proof-verification #graph-theory
2.1k
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Transforming a Plane

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#matrices #proof-verification
140
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Abstract algebra subgroup proof verification

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#abstract-algebra #group-theory #proof-verification #proof-writing #finite-groups
34
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Rudin functional analysis, Definition 3.26

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#integration #functional-analysis #proof-verification #topological-vector-spaces
4.2k
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Which positive integers can NOT be written as a sum of consecutive positive integers

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#number-theory #elementary-number-theory #proof-verification #prime-numbers #contest-math
1k
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Number of Vertices in a Self-Complementary Graph

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#proof-verification #graph-theory
87
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Prove: If $p=p^*+e_1$ and $q=q^*+e_2$, then the relative error...

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#proof-verification #numerical-methods
29
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Linear dependency - Alternative way to prove this statement

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#linear-algebra #proof-verification #vector-spaces
82
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Evaluate Infinite Series Summation of 1/(k(k+c))

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#real-analysis #sequences-and-series #limits #proof-verification

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