User Sam OT

10 votes

1 answer

3k views

lim sup and lim infs of Brownian Motion: $B_t/\sqrt{t}$ as $t \to \infty$ or as $t \to 0$.

asked Nov 28, 2015 at 12:46

6 votes

3 answers

246 views

Show $y = \sum_{k=1}^\infty \frac{k^{k-1}}{k!} x^k$ satisfies $ye^{-y} = x$.

sequences-and-series summation random-graphs

asked Mar 6, 2017 at 15:11

6 votes

2 answers

164 views

Apparent Contradiction by WolframAlpha in Calcuation of $\sum_{k=1}^\infty k^{k-1} e^{-k} / k!$

proof-verification summation fake-proofs

asked Mar 21, 2017 at 14:29

6 votes

2 answers

268 views

Distribution at First Time a Sum Reaches a Threshold

probability probability-theory probability-distributions recreational-mathematics martingales

asked Feb 5, 2019 at 15:15

5 votes

1 answer

190 views

Opportunities for Mathematicians to Work in Biological/Disease Areas

soft-question advice career-development biology

asked Jan 31, 2015 at 14:27

5 votes

1 answer

636 views

Functional Lifting in Optimisation - Reference Request

reference-request optimization convex-optimization

asked Jun 24, 2015 at 9:45

5 votes

1 answer

4k views

Weierstrass Approximation Theorem for $\Bbb C$

complex-analysis approximation

asked Mar 6, 2014 at 21:33

5 votes

1 answer

3k views

Show that $ z \sin(z) = 1 $ has only real solutions.

complex-analysis roots

asked Mar 12, 2014 at 16:03

5 votes

2 answers

1k views

Showing that $ \int_0^1 x^{2n}f(x) dx = 0 $ implies $f = 0$

real-analysis integration analysis functional-analysis orthogonality

asked Nov 6, 2014 at 14:51

5 votes

1 answer

751 views

An inner product space and its proper closed subspace with trivial orthogonal complement

functional-analysis inner-products orthogonality

asked Nov 15, 2014 at 16:40

4 votes

0 answers

224 views

Calculation of Conditional Expectation $\Bbb E[f(X)\mid Y]$

probability-theory random-variables expectation conditional-expectation

asked Jan 22, 2015 at 22:11

4 votes

0 answers

474 views

Mathematical Writing, Punctuation: Starting a Sentence with a Display Equation

soft-question article-writing

asked Dec 7, 2017 at 16:15

3 votes

1 answer

69 views

Coppersmith-Tetali-Winkler Identity for Hitting Times in a Reversible Markov Chain

probability-distributions markov-chains

asked Sep 30, 2016 at 8:32

3 votes

1 answer

398 views

Strong Markov Property Brownian Motion for Non-Stopping Time

probability-theory brownian-motion stopping-times

asked Apr 30, 2016 at 16:30

3 votes

1 answer

75 views

Calculating a (Forward Measure) Martingale

probability-theory martingales conditional-expectation bayes-theorem

asked Dec 28, 2015 at 14:45

3 votes

1 answer

248 views

Countability of Collection of All Finite Subsets of a Countable Set

elementary-set-theory proof-verification cardinals

asked Jan 24, 2016 at 10:50

3 votes

1 answer

70 views

Density Function of Random Variable Related to Brownian Motion

probability-theory probability-distributions stochastic-processes brownian-motion

asked May 28, 2015 at 18:42

3 votes

1 answer

98 views

Calculating Expectation of Exponential with Indicator Functions (Continuous Time Martingales)

probability probability-theory martingales

asked Nov 14, 2015 at 16:53

3 votes

1 answer

210 views

Determining Degeneracies of Operator (Quantum Mechanics / Linear Algebra)

linear-algebra quantum-mechanics

asked Aug 1, 2014 at 21:25

3 votes

1 answer

214 views

Implication of Statements "When" and "Just When"

logic propositional-calculus predicate-logic logic-translation

asked Mar 13, 2014 at 22:45

3 votes

1 answer

1k views

Constant Speed of Geodesics

differential-geometry calculus-of-variations geodesic

asked Mar 6, 2014 at 23:00

3 votes

1 answer

3k views

Orthogonality of Lagrange Polynomials in Hermite Inner Product

numerical-methods inner-products orthogonal-polynomials

asked May 6, 2014 at 8:30

3 votes

1 answer

345 views

Markov Chains Queueing Theory: Sojourn Time for $M/M/1$

probability probability-theory markov-chains queueing-theory

asked Nov 7, 2017 at 10:15

2 votes

1 answer

67 views

Representation theory: terminology

representation-theory harmonic-analysis terminology

asked Feb 20, 2020 at 11:16

2 votes

1 answer

649 views

Hitting Times for Brownian Motion - Levy Process?

probability-theory stochastic-processes brownian-motion levy-processes

asked Apr 27, 2016 at 10:46

2 votes

0 answers

2k views

Laurent Series and Taylor Expansion of $ 1 / (e^z - 1) $

complex-analysis taylor-expansion exponential-function laurent-series

asked Apr 7, 2014 at 22:12

2 votes

0 answers

88 views

Integral of Difference of Logs

integration complex-analysis logarithms laurent-series

asked Apr 9, 2014 at 15:58

2 votes

2 answers

435 views

Dual Mapping Preserves Linear Independence if and only if Original Mapping is Surjective

real-analysis analysis duality-theorems

asked Apr 13, 2014 at 21:29

2 votes

2 answers

446 views

Continuity and Inverse Preservation of Boundedness Implies Preservation of Closed Sets

real-analysis analysis continuity bounded-variation field-theory

asked Apr 26, 2014 at 9:57

2 votes

1 answer

136 views

Relation Between Free Quotients and Modules

abstract-algebra commutative-algebra modules quotient-spaces

asked Apr 1, 2014 at 11:45

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81 Questions

lim sup and lim infs of Brownian Motion: $B_t/\sqrt{t}$ as $t \to \infty$ or as $t \to 0$.

Show $y = \sum_{k=1}^\infty \frac{k^{k-1}}{k!} x^k$ satisfies $ye^{-y} = x$.

Apparent Contradiction by WolframAlpha in Calcuation of $\sum_{k=1}^\infty k^{k-1} e^{-k} / k!$

Distribution at First Time a Sum Reaches a Threshold

Opportunities for Mathematicians to Work in Biological/Disease Areas

Functional Lifting in Optimisation - Reference Request

Weierstrass Approximation Theorem for $\Bbb C$

Show that $ z \sin(z) = 1 $ has only real solutions.

Showing that $ \int_0^1 x^{2n}f(x) dx = 0 $ implies $f = 0$

An inner product space and its proper closed subspace with trivial orthogonal complement

Calculation of Conditional Expectation $\Bbb E[f(X)\mid Y]$

Mathematical Writing, Punctuation: Starting a Sentence with a Display Equation

Coppersmith-Tetali-Winkler Identity for Hitting Times in a Reversible Markov Chain

Strong Markov Property Brownian Motion for Non-Stopping Time

Calculating a (Forward Measure) Martingale

Countability of Collection of All Finite Subsets of a Countable Set

Density Function of Random Variable Related to Brownian Motion

Calculating Expectation of Exponential with Indicator Functions (Continuous Time Martingales)

Determining Degeneracies of Operator (Quantum Mechanics / Linear Algebra)

Implication of Statements "When" and "Just When"

Constant Speed of Geodesics

Orthogonality of Lagrange Polynomials in Hermite Inner Product

Markov Chains Queueing Theory: Sojourn Time for $M/M/1$

Representation theory: terminology

Hitting Times for Brownian Motion - Levy Process?

Laurent Series and Taylor Expansion of $ 1 / (e^z - 1) $

Integral of Difference of Logs

Dual Mapping Preserves Linear Independence if and only if Original Mapping is Surjective

Continuity and Inverse Preservation of Boundedness Implies Preservation of Closed Sets

Relation Between Free Quotients and Modules