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 Jan 20 accepted Asymptotic Expansion of a Multiscale Partial Differential Equation Jan 19 accepted Taylor Series for functions $f:R^n\rightarrow R^n$ Jan 19 answered Asymptotic Expansion of a Multiscale Partial Differential Equation Jan 19 asked Asymptotic Expansion of a Multiscale Partial Differential Equation Jan 15 comment Taylor Series for functions $f:R^n\rightarrow R^n$ @GiuseppeNegro: What form does it take then? Jan 15 asked Taylor Series for functions $f:R^n\rightarrow R^n$ Jan 15 awarded Yearling Jan 9 accepted Determining the effective coefficient in a boundary value problem. Jan 9 comment Determining the effective coefficient in a boundary value problem. Oh, I see now... It was staring at me in my face and I didn't even realize it. So, using the derived formula, I can simply apply the condition $u(1)=1$ into the formula and solve for $-q_0$. I can't believe it was that simple! Thanks, PavelM. Jan 9 revised Determining the effective coefficient in a boundary value problem. added relevant tags Jan 8 asked Determining the effective coefficient in a boundary value problem. Dec 11 asked What is the proper topological term for a region with a single hole? Sep 23 awarded Disciplined Sep 23 awarded Peer Pressure Sep 15 comment Understanding the notation of the gradient of a vector function Is the product in the notation $A\cdot B$ called a "tensor product" or a "tensor dot product"? Is there a special name for this product? Sep 15 comment Understanding the notation of the gradient of a vector function So then, $\nabla v$ is equivalent to the jacobian of v! That's cool! Sep 15 comment Understanding the notation of the gradient of a vector function Awesome! Thank you, @enzotib! :) Sep 15 accepted Understanding the notation of the gradient of a vector function Sep 15 comment Understanding the notation of the gradient of a vector function According to the book, the final result $\sigma\cdot\nabla v^T$ is supposed to be a scalar quantity. Your final result seems to be a vector, if I'm not mistaken... Sep 15 comment Understanding the notation of the gradient of a vector function So the gradient of a vector is a matrix then, right?