# All Questions

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### Gauss Chebyshev formula [on hold]

Use Gauss Chebyshev formula with $n=3$ to approximate the value of the integral. $$\int \frac{x^4}{\sqrt{1-x^2}}dx$$ from -1 to 1. Also compare the result with true value, where the zeros and the ...
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### Existence of nice exhaustion - Rudin.

This is taken from Rudin's Complex Analysis/Real Analysis Can someone tell me why $K_n \subset \Omega$? I agree it is compact, but why does it follow that it is a subset of $\Omega$? WLOG, I ...
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### Matrix representation of a transformation

We have a linear transformation $T: M_{2\times 2}(F) \to F$ by $T(A) = tr(A)$. We want to compute the matrix representation $[T]$ from $\alpha$ to $\gamma$ coordinates. $M_{2\times 2}$ has the ...
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### Equality of a quadratic function

Let $f: \mathbb{R}\rightarrow \mathbb{R}$ an arbitrary function and $g: \mathbb{R}\rightarrow \mathbb{R}$ a quadratic function with the following property: For any $m$ and $n$ the equation ...
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### The derivative of $D_x$, the differential operator?

I was thinking about how the derivative could also be an operator and I came upon the question: What is the derivative of the differential operator? I'm very much interested in what the answer to the ...
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