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 Apr8 awarded Nice Question Apr8 revised Under what conditions is integrating over a series expansion valid for an improper integral? altered wording slightly Apr8 comment Under what conditions is integrating over a series expansion valid for an improper integral? the wikipedia page with Lebesque's theorem doesn't exist as such, did you mean? Apr7 awarded Commentator Apr7 asked Under what conditions is integrating over a series expansion valid for an improper integral? Mar30 comment Solving 12 equations with 13 variables I think you mean underconstrained (or, underdetermined) since he has more variables then equations. Mar30 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. Mar29 revised Euler-Lagrange, Gradient Descent, Heat Equation and Image Denoising added references per OP request Mar29 answered Euler-Lagrange, Gradient Descent, Heat Equation and Image Denoising Mar10 answered Matrix Inverses and Eigenvalues Mar10 comment Is $\frac{\textrm{d}y}{\textrm{d}x}$ 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. Mar9 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. Mar8 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. Mar8 revised dA in polar coordinates? added formulas Mar8 answered dA in polar coordinates? Mar4 comment Checking if a number is a Fibonacci or not? @Bill, thanks. It will take me a while to get through it, though. Mar4 answered Inner Product, definite positive? Mar3 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. Oct19 answered Simple Solution to Diffusion equation Oct13 awarded Teacher