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If $\varphi: V \to W$ is a $F$-linear mapping, then for every $U \subset V$ it is true that $\dim_F(\varphi(U)) \leq \dim_F(U)$

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#linear-algebra #vector-spaces #self-learning
40
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Showing Two Random Variables are Indendent Based on their PDF

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#statistics #random-variables #self-learning
491
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Making progress in learning hard math?

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#soft-question #self-learning #education
100
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An application of the Dominated Convergence Theorem

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#integration #measure-theory #self-learning #lebesgue-integral #lebesgue-measure
265
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Borel Sets and Borel Functions

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#measure-theory #derivatives #self-learning #lebesgue-measure
1k
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gallian's contemporary abstract Algebra exercises

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#group-theory #soft-question #self-learning
528
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Exponential Families defined by Radon-Nikodym Theorem

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#measure-theory #probability-theory #self-learning
1k
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Inner Product of a Dual Space

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#linear-algebra #self-learning
125
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Help with a Proof of exercise 7.3 Apostol on two different definitions of the Riemann integral.

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#real-analysis #integration #proof-verification #self-learning
49
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For finite dimensional $F$-Vectorspaces $V$ it is true that $\forall U \subset V: U = \bigcap_{\lambda \in U^0}\ker ( \lambda)$

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#linear-algebra #vector-spaces #self-learning
347
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Expected value for random walk

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#probability #self-learning
43
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How to take this exponentials

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#sequences-and-series #probability-theory #self-learning #exponential-function
1.1k
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Expansion of cumulant transform

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#sequences-and-series #probability-theory #asymptotics #self-learning #taylor-expansion
4.1k
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Exponential Tilting

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#statistics #probability-theory #self-learning
191
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A Better Approximation of $e$

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#real-analysis #analysis #self-learning #approximation

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