919 reputation
1719
bio website wolfram.com
location United States
age 37
visits member for 3 years, 6 months
seen Apr 11 at 1:11

The gravatar was made with Mathematica, and inspired by this.

The contents of my posts are my own opinion, and do not reflect the opinions of my employer.


Apr
7
asked Under what conditions is integrating over a series expansion valid for an improper integral?
Mar
30
comment Solving 12 equations with 13 variables
I think you mean underconstrained (or, underdetermined) since he has more variables then equations.
Mar
30
comment Does repeated activity increase the probability of a specific event happening?
It is interesting to me how often this question comes up in different contexts.
Mar
29
revised Euler-Lagrange, Gradient Descent, Heat Equation and Image Denoising
added references per OP request
Mar
29
answered Euler-Lagrange, Gradient Descent, Heat Equation and Image Denoising
Mar
10
answered Matrix Inverses and Eigenvalues
Mar
10
comment Is $dy/dx$ not a ratio?
As a physicist, I prefer Leibniz notation simply because it is dimensionally correct regardless of whether it is derived from the limit or from nonstandard analysis. With Newtonian notation, you cannot automatically tell what the units of $y'$ are.
Mar
9
comment Help with Implicit Differentation and Trigonometry
I'd like to mention that $\frac{dy}{dx}$ can be treated just like any other term. So, if you did end up with two terms containing the derivative, it can be factored out like: $$a \frac{dy}{dx} + b \frac{dy}{dx} = (a+b)\frac{dy}{dx}$$. You just have to remember that for the most part $\frac{dy}{dx}$ is a single term, like $\cos(x)$ is.
Mar
8
comment How may I solve this Cubic Equation?
@bala, the fundamental theorem of algebra states that a cubic equation has 3 roots. Any imaginary root must be accompanied by its complex conjugate, so a cubic either has 3 real roots or 1 real root and two complex roots.
Mar
8
revised dA in polar coordinates?
added formulas
Mar
8
answered dA in polar coordinates?
Mar
4
comment Checking if a number is a Fibonacci or not?
@Bill, thanks. It will take me a while to get through it, though.
Mar
4
answered Inner Product, definite positive?
Mar
3
comment Checking if a number is a Fibonacci or not?
@Bill, my knowledge of continued fractions is very limited, can you point to a reference, or give a proof, that describes this property? thanks.
Oct
19
answered Simple Solution to Diffusion equation
Oct
13
awarded  Teacher
Oct
13
awarded  Editor
Oct
13
revised Laplace transformations for dummies
corrected based on comments.
Oct
13
comment Laplace transformations for dummies
You're right, in this case $K^-1 \neq K^\dagger$. Edited my answer to reflect this.
Oct
13
answered Laplace transformations for dummies