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New posts in solution-verification
Is the unit sphere in a preHilbert space a total set?
solution-verification
hilbert-spaces
normed-spaces
orthogonality
Where i am wrong? A question on uniformly continuous function in functional analysis.
real-analysis
functional-analysis
metric-spaces
solution-verification
proof-explanation
Given $2^{n-1}$ subsets of a set with $n$ elements with the property that any three have nonempty intersection, prove that ....
linear-algebra
combinatorics
solution-verification
contest-math
extremal-combinatorics
Prove : Let A be a set. Then there is a set B such that B /∈ A.
proof-writing
solution-verification
set-theory
How can we verify this limit via $\epsilon-\delta$ method?
calculus
limits
analysis
solution-verification
epsilon-delta
All non abelian groups of order $56$, when $\mathbb Z_7\triangleleft G$
abstract-algebra
finite-groups
solution-verification
sylow-theory
semidirect-product
Prove that $\lim_{n\to\infty}n^2\int_0^{\frac{1}{n}}x^{x+1}dx=\frac{1}{2}.$
real-analysis
integration
definite-integrals
solution-verification
Let $H$ be a subgroup of $G$ and $x,y \in G$. Show that $x(Hy)=(xH)y.$
abstract-algebra
group-theory
solution-verification
Verification for proof by strong induction of $a^n - 1 = (a - 1)(a^{n-1} + a^{n-2} + a^{n-3}+···+a + 1)$
algebra-precalculus
solution-verification
induction
Compactness and ordinals.
general-topology
solution-verification
proof-explanation
a covering map is open?
general-topology
solution-verification
covering-spaces
open-map
Alternative proof for soundness and completeness of standard semantics for conjunction-only fragment of classical propositional calculus
logic
solution-verification
propositional-calculus
alternative-proof
Prove that there exists $c\in[0,1]$ such that $\int_0^cf(t)dt=f(c)^3.$
real-analysis
solution-verification
Graphing $f(2-x)$
functions
linear-transformations
solution-verification
graphing-functions
transformation
Pythagoras Theorem Proof
geometry
solution-verification
euclidean-geometry
An inequation $(\mu-m)^2\leq\sigma^2$ involving expectation, median and variance [duplicate]
probability
probability-theory
solution-verification
Prove that $inf\ \{|x_n|, n \in \mathbb{N}\}=0$
sequences-and-series
solution-verification
supremum-and-infimum
Lebesgue - Radon - Nikodym Theorem: Question about $\sigma$-finite case
real-analysis
measure-theory
proof-writing
solution-verification
If $\displaystyle \lim_{x \to \infty} f(x)=L$ and $\displaystyle \lim_{x \to \infty} f'(x)$ exists, then $\displaystyle \lim_{x \to \infty}f'(x)=0$
calculus
solution-verification
$\{(x,f(x)): x\in E\}$ is compact in $\mathbb R^2 \implies f:E\to\mathbb R$ is continuous
real-analysis
analysis
solution-verification
proof-explanation
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