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New posts in proof-verification
Prove that $2^n$ does not divide $n!$
elementary-number-theory
proof-verification
proof-writing
divisibility
Show that the closure of a set A is the smallest closed set containing A.
general-topology
proof-verification
proof-writing
If $S = x_1 + x_2 + .. + x_n$, Prove that $ (1+x_1)(1+x_2)..(1+x_n) \le 1 + S + \frac{S^2}{2!} + .. + \frac{S^n}{n!}$ [duplicate]
inequality
proof-verification
contest-math
Showing AB=0 does not imply either A,B=0, but that singular
linear-algebra
matrices
proof-verification
Show that $\sqrt{4+2\sqrt{3}}-\sqrt{3}$ is rational using the rational zeros theorem
analysis
proof-verification
Proof verification: $V \otimes V^* \cong \mathscr{L}(V,V)$
linear-algebra
proof-verification
tensor-products
multilinear-algebra
Show that every local homeomorphism is continuous and open therefore bijective local homeomorphism is a homeomorphism
general-topology
functions
proof-verification
proof-writing
proof-explanation
Probs. 12 & 13 , Sec. 2.3, in Herstein's TOPICS IN ALGEBRA, 2nd ed: Existence of only right-sided identity and right-sided inverses suffice
abstract-algebra
group-theory
proof-verification
semigroups
Number Theory : Infinitude Of Primes - a different proof
number-theory
elementary-number-theory
proof-verification
prime-numbers
Proving every infinite set $S$ contains a denumerable subset
real-analysis
elementary-set-theory
proof-verification
proof-writing
proof-explanation
Show that two matrices with the same eigenvalues are similar
linear-algebra
proof-verification
Given $f(x+T) = f(x) + a$, prove that $f(x) = \varphi(x) + {a \over T}x$, where $\varphi(x)$ is periodic with period $T$
algebra-precalculus
proof-verification
periodic-functions
Are there more even numbers than odd numbers?
recreational-mathematics
proof-verification
Let $a$ be an element of order $n$ in a group $G$. If $a^m$ has order $n$, then $m$ and $n$ are relatively prime.
abstract-algebra
group-theory
finite-groups
proof-verification
Continuity defined for rational and irrational numbers
real-analysis
proof-verification
combinatorial answer using inclusion exclusion principles
combinatorics
discrete-mathematics
proof-verification
inclusion-exclusion
Show $\max{\{a,b\}}=\frac1{2}(a+b+|a-b|)$
real-analysis
algebra-precalculus
proof-verification
absolute-value
Prove that there is no smallest positive real number
proof-verification
proof-writing
alternative-proof
Prove that if $w \in \mathbb{Z}[\sqrt{3}]$ and $N(w)$ is a prime, then $w$ is prime also
proof-verification
prime-numbers
algebraic-number-theory
proof-explanation
Where is the mistake in my reasoning?
algebra-precalculus
proof-verification
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