User dustin

8 votes

4 answers

12k views

Complex Integration poles real axis

asked Nov 13, 2013 at 3:58

8 votes

3 answers

20k views

Defining the equation of an ellipse in the complex plane

geometry complex-numbers

asked Jan 30, 2015 at 4:59

6 votes

2 answers

6k views

Lagrange's identity in the complex form

complex-numbers summation

asked Jan 23, 2015 at 6:32

6 votes

3 answers

518 views

Deduce $\lvert ab\rvert = \lvert ba\rvert$ for all $a,b\in G$ where $G$ is a group.

abstract-algebra group-theory

asked Dec 31, 2014 at 0:27

5 votes

1 answer

252 views

Vector calculus and Frenet-Serret equations

differential-geometry

asked Aug 30, 2013 at 16:51

4 votes

2 answers

1k views

Kepler's First Law in 3D

3d polar-coordinates

asked Jul 15, 2013 at 16:59

4 votes

1 answer

321 views

Fourier transform of $f(x) = \chi\cos^n(\pi x)$

fourier-analysis transformation

asked Jan 14, 2015 at 7:08

4 votes

1 answer

956 views

Ahlfors method for partial fraction decomposition

complex-analysis polynomials partial-fractions

asked Feb 9, 2015 at 20:20

3 votes

2 answers

132 views

Show $\lvert\lambda_1a_1 + \lambda_2a_2 + \cdots + \lambda_na_n\rvert < 1$ when $\lvert a_i\rvert < 1$ and $\lambda_i\geq 0$

inequality complex-numbers

asked Jan 25, 2015 at 2:28

3 votes

1 answer

2k views

Using complex analysis to find the Inverse Laplace transform

complex-analysis laplace-transform residue-calculus

asked Nov 24, 2014 at 15:56

3 votes

1 answer

309 views

Laplace transform via complex analysis

complex-analysis laplace-transform contour-integration

asked Dec 2, 2014 at 0:16

2 votes

1 answer

341 views

Quadratic formula for $z^2 + (\alpha + \beta i)z + \gamma + i\delta = 0$ where $z\in\mathbb{C}$

complex-numbers

asked Dec 18, 2014 at 23:47

2 votes

1 answer

435 views

probability: continuous uniform distribution mean by symmetry

integration probability-theory expectation uniform-distribution

asked Nov 8, 2014 at 21:29

2 votes

1 answer

535 views

Is there an errata for Ahlfors Complex Analysis?

general-topology compactness

asked Mar 18, 2015 at 17:04

1 vote

1 answer

1k views

continuous probability: signal to noise ratio $\mu^2/\sigma^2$

probability probability-distributions uniform-distribution

asked Nov 9, 2014 at 1:43

1 vote

1 answer

1k views

continuous probability: average power of a Gaussian random variable $\mathcal{N}(0, \sigma^2)$

probability probability-theory

asked Nov 9, 2014 at 17:27

1 vote

1 answer

620 views

Finding conditional probability from the joint PMF

probability conditional-probability

asked Oct 20, 2014 at 0:05

1 vote

1 answer

279 views

Integral Equation-Volterra 2nd kind

ordinary-differential-equations integral-equations

asked Oct 30, 2013 at 19:52

1 vote

4 answers

220 views

Poisson Integral is equal to 1

complex-analysis complex-integration

asked Nov 4, 2014 at 0:43

1 vote

1 answer

91 views

probability: nonlinear best predictor $\hat{Y} = g(X)$

probability uniform-distribution

asked Nov 10, 2014 at 19:31

1 vote

2 answers

3k views

complex analysis: book suggestion after using Serge Lang's book

complex-analysis soft-question

asked Nov 14, 2014 at 19:40

1 vote

1 answer

3k views

Tensors: traction free planes

linear-algebra tensors

asked Nov 28, 2014 at 21:09

1 vote

1 answer

287 views

Tensors: Maxwell stress on an isotropic elastic material

linear-algebra tensors

asked Nov 29, 2014 at 14:03

1 vote

1 answer

391 views

Understanding block diagrams

laplace-transform control-theory

asked Dec 1, 2014 at 14:48

0 votes

1 answer

118 views

Probability: IID random process notation question.

probability random-variables

asked Dec 4, 2014 at 3:24

0 votes

1 answer

151 views

Probability: determine if $Z[n] = X[n] + Y[n]$ is WSS when $X[n]$ and $Y[n]$ are WSS

probability random-variables stationary-processes

asked Dec 4, 2014 at 17:50

0 votes

1 answer

1k views

Conditional Probability of two random variables

probability conditional-probability

asked Oct 19, 2014 at 20:04

0 votes

1 answer

218 views

Surface integral and the divergence theorem

integration physics

asked Sep 7, 2013 at 15:37

0 votes

2 answers

633 views

Application of Stoke's Theorem

physics

asked Sep 9, 2013 at 22:08

0 votes

1 answer

384 views

Covariance matrix of Y when we have the covariance matrix of X

linear-algebra probability matrices covariance

asked Oct 24, 2014 at 20:02

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38 Questions

Complex Integration poles real axis

Defining the equation of an ellipse in the complex plane

Lagrange's identity in the complex form

Deduce $\lvert ab\rvert = \lvert ba\rvert$ for all $a,b\in G$ where $G$ is a group.

Vector calculus and Frenet-Serret equations

Kepler's First Law in 3D

Fourier transform of $f(x) = \chi\cos^n(\pi x)$

Ahlfors method for partial fraction decomposition

Show $\lvert\lambda_1a_1 + \lambda_2a_2 + \cdots + \lambda_na_n\rvert < 1$ when $\lvert a_i\rvert < 1$ and $\lambda_i\geq 0$

Using complex analysis to find the Inverse Laplace transform

Laplace transform via complex analysis

Quadratic formula for $z^2 + (\alpha + \beta i)z + \gamma + i\delta = 0$ where $z\in\mathbb{C}$

probability: continuous uniform distribution mean by symmetry

Is there an errata for Ahlfors Complex Analysis?

continuous probability: signal to noise ratio $\mu^2/\sigma^2$

continuous probability: average power of a Gaussian random variable $\mathcal{N}(0, \sigma^2)$

Finding conditional probability from the joint PMF

Integral Equation-Volterra 2nd kind

Poisson Integral is equal to 1

probability: nonlinear best predictor $\hat{Y} = g(X)$

complex analysis: book suggestion after using Serge Lang's book

Tensors: traction free planes

Tensors: Maxwell stress on an isotropic elastic material

Understanding block diagrams

Probability: IID random process notation question.

Probability: determine if $Z[n] = X[n] + Y[n]$ is WSS when $X[n]$ and $Y[n]$ are WSS

Conditional Probability of two random variables

Surface integral and the divergence theorem

Application of Stoke's Theorem

Covariance matrix of Y when we have the covariance matrix of X