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Mathematics
Toneri Otsutsuki's user avatar
Toneri Otsutsuki's user avatar
Toneri Otsutsuki's user avatar
Toneri Otsutsuki
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2
Find all fucntions such that $f:\Bbb R \to \Bbb R$ and $f(x^{2}+yf(x))=f(x+y)$
Feb 26, 2021
2
If $c \geq 0 $, show that $\sup(cA)=c\sup A$.
Jun 2, 2023
2
Pythagorean Theorem for inner product space
May 7
1
Is the set $S={\left\{ x \in \mathbb{Q}:-\sqrt2 < x < \sqrt2 \right\}}$ open in $\mathbb{R}$?
May 20, 2022
1
why is a (1,0) tensor field a contravariant vector field?
Dec 6, 2023
1
Hint for showing the identity $(\nabla\psi\cdot\nabla)\nabla\psi^*+(\nabla\psi^*\cdot\nabla)\nabla\psi=\nabla|\nabla \psi|^2$
Mar 15
1
Let $\mathcal{M}$ be any linear subset of a Hilbert space $\mathcal{H}$. Prove that $\mathcal{M}^{\perp}$ is a closed linear subspace .
May 11
1
Show that the simple functions are dense in $L^2[a,b]$
May 11
0
Use the Axiom of Completeness to prove the Cut Property.
Jun 3, 2023
0
If $s+\frac{1}{n}$ is an upper bound for A and $s-\frac{1}{n}$ is not an upper bound for $A$ then show $s = \sup A.$
Jun 4, 2023