# Tagged Questions

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### Lagrange's form of the remainder vs Cauchy's form

So far (while practicing exercises) I've used Lagrange's form of the remainder. Is there a situation when Cauchy's form comes in handy while Lagrange's form fails for some reason? Is there a rule of ...
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### Determining a value $c$ such that the function $f(c) = \displaystyle\sum_{i=1}^n \left|\frac{y_i-c}{y_i}\right|\times v_i$ is minimized

I'm trying to construct prediction model for a variable of interest, based on a set of input values. I have a set of validation data and their predictions (by my model) and now I need to asses whether ...
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### Fourier transform of $\operatorname{erfc}^3\left|x\right|$

(this is a follow-up on my another question) Could you please help me to find the Fourier transform of $$f(x)=\operatorname{erfc}^3\left|x\right|,$$ where $\operatorname{erfc}z$ denotes the the ...
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### Changing the limits of integration from $-\infty$ to $\infty$

Is it fair to change from $$\int_{-\infty}^{a} \exp \left( -t^2 \right) \mathrm dt$$ replacing $t$ with $-t$ $$\int_{-a}^{\infty} \exp \left( -t^2 \right) \mathrm dt$$ and thus gaining the ...
330 views