Intereting Posts

Line bundle over $S^2$
Terminology re: continuity of discrete $a\sin(t)$
Book recommendation for analysis problems
Must $f$ be measurable if each $f^{-1}(c)$ is?
Finding a prime number $p$ and $x, y, z\in \mathbb N$ such that $x^p+y^p=p^z$
Aronszajn Trees and König's Lemma
$\lim_{n\to \infty} {a^n-b^n\over a^n+b^n}.$
Need help with Lagrange Multipliers
Supercongruence for Binomial Coefficients
Algebraic closure for $\mathbb{Q}$ or $\mathbb{F}_p$ without Choice?
$\frac{1}{z}-\frac{1}{\sin z}$ at the origin – Classify singularities
Is there any number greater than 8 of the form $2^{2k+1}$ which is the sum of a prime and a safe prime?
What does “rigor” mean in mathematics?
What is the average rotation angle needed to change the color of a sphere?
Nilpotent elements of a non-commutative ring with trivial automorphism group form an ideal

Is this true?

Any compactly supported distribution $T\in \cal D’$ can be represented as finite sum of partial derivatives of functions.

- Is Plancherel's theorem true for tempered distribution?
- distribution with point support
- Convergence of test-functions is not induced by any metric.
- Convergence in $\mathcal{D}'(\mathbb{R})$
- weak derivative of a nondifferentiable function
- cutoff function vs mollifiers

- Properties of the solution of the schrodinger equation
- Proving that if $\sum\|f_n-e_n\|^2< 1$, $\{f_n\}$ is a complete sequence
- Spectrum of a product of operators on a Banach space
- How to show if $ \lambda$ is an eigenvalue of $AB^{-1}$, then $ \lambda$ is an eigenvalue of $ B^{-1}A$?
- Is the product rule true in a Banach algebra?
- Topology of the space $\mathcal{D}(\Omega)$ of test functions
- Characterisation of compact subsets of Banach spaces
- Extensions: Spectrum
- Any positive linear functional $\phi$ on $\ell^\infty$ is a bounded linear operator and has $\|\phi \| = \phi((1,1,…)) $
- pythagoras theorem for $L_p$ spaces

- Find $a,n\in \mathbb N^{+}:a!+\dfrac{n!}{a!}=x^2,x\in \mathbb N$
- Does π start with two identical decimal sequences?
- Triangular Numbers Modulo $k$ – Hit All Values?
- floating-point operations do not satisfy the well-known laws for arithmetic operations
- Divisibility question
- eigen decomposition of an interesting matrix
- Group of order $3^a\cdot5\cdot11$ has a normal Sylow 3-group
- What kind of rings have exactly three ideals?
- Is there a fundamental reason that $\int_b^a = -\int_a^b$
- Showing that two definitions of $\limsup$ are equivalent
- Why field of fractions is flat?
- Symmetrical and skew-symmetrical part of rotation matrix
- How to describe the Galois group of the compositum of all quadratic extensions of Q?
- Trying to solve the equation $\sum_{i=0}^{t}(-1)^i\binom{m}{i}\binom{n-m}{t-i}=0 $ for non-negative integers $m,n,t$
- Prove $$ and $(0, 1]$ are equinumerous by use of bijection