# All Questions

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### Is there a generalization of the Lagrange polynomial to 3D?

What is a way to construct a smooth polynomial surface ($\mathbb{R}^2 \rightarrow \mathbb{R}$) with Lagrange-polynomial properties in every partial derivative? I want to try this for image ...
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### Compact Lie group with non discrete center?

Could someone please give me an example of a compact Lie group with non discrete center which is not just a product of a group with a torus?
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### SOCP with a norm constraint

Is it possible to convert this optimization problem into a SOCP: \begin{eqnarray} \min && c^T x \\ s.t. && \|A_ix + b_i \|_2 \le c_i^T x + d_i \\ && \| Dx \|_2 = g ...
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### How to solve $\left \lfloor x^2 - x - 2 \right \rfloor = \left \lfloor x \right \rfloor$

I need some help to solve the next equation: $$\left \lfloor x^2 - x - 2 \right \rfloor = \left \lfloor x \right \rfloor$$ Where $\left \lfloor \cdot \right \rfloor$ is the floor function. What ...
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### If 10 is not a solitary number, what properties would a friend of 10 have

It is of course an unsolved problem if 10 is solitary or not, but it is conjectured that it is. (See definition of friendly and solitary number on wiki: http://en.wikipedia.org/wiki/Friendly_number) ...
Fourier expansion for a function: $$f(x)=\frac{1}{2\pi}\int_{-\infty}^{+\infty} e^{- i \omega x}\int_{-\infty}^{+\infty}e^{i\omega t}f(t)dt \, d\omega$$ Newton series expansion of a function: ...