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Mathematics
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Simon M's user avatar
Simon M's user avatar
Simon M
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6
Proving $f(x-y)+f(\frac{2xy+y^2}{x+y})+f(-\frac{2xy+x^2}{x+y})=2f(\frac{x^2+xy+y^2}{x+y})∀(x,y)\in\mathbb{C}^2 \iff f(x)\in${$ax^2+bx^4:(a,b)\inℂ^2$}
Jun 7
5
Given a smooth map Φ:M→M , does there always exist a proper submanifold S such that Φ(S)=S?
Jul 14, 2023
3
Why does Wolfram say this symmetric matrix has complex eigenvalues?
Jun 29, 2023
3
The shape of parabola in a 1-point perspective drawing with the vanishing point at the parabola's point at infinity
Jun 15
3
Size of the set of all $f:${$1,2,3,4,5,6$} $\rightarrow$ {$1,2,3,4,5,6$} s.t. $\forall n \in${$1,2,3,4,5,6$} $f(n) \neq n$ and $f(f(f(f(f(f(n))))))=n$
Jun 13
3
Why does $y^2=(x^2-1)(x^2-4)(x^2-9)$ have genus 2? Why not genus 10? Isn't it nonsingular?
Jan 16
3
On what intervals does $\;a\sin[f(x)]+b\cos[g(x)]\;$ equal $\sqrt{a^2+b^2+2ab\sin(f(x)-g(x))}\sin\left(\frac{f(x)+g(x)}{2}+\arctan M\right)\;?$
Oct 20, 2023
2
Stokes' Theorem and perimeter
Jun 26, 2023
2
When the average value of $f(x,y)$ over a circle of radius $R$ centered at $(x_0,y_0)$ differs from $f(x_0,y_0)$ by $\frac{R^2}{4}\nabla^2 f(x_0,y_0)$
Jul 13
2
Given two nonzero 3-vectors $\vec{u}$ and $\vec{v}$ of equal length, does there always exist a 3x3 matrix M such that $\vec{u}=M\vec{v}$ of this form?
Aug 1, 2023
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When should a question that requires only algebraic manipulation to answer use the algebra-precalculus tag?