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New posts in solution-verification
Why is $\mathcal{P}(A\cup B) \not\subset \mathcal{P}(A)\cup\mathcal{P}(B)$?
elementary-set-theory
solution-verification
fake-proofs
Proof that the closure of $S$ is the set of all limits of convergent sequences in $S$
general-topology
metric-spaces
solution-verification
Prove for every three integers $a$, $b$ and $c$ that an even number of the integers $a + b$, $a + c $and $b + c$ are odd. [duplicate]
elementary-number-theory
proof-writing
solution-verification
Show $(a_1+···+a_n)^2 ≤ n(a^2_1+···+a^2_n).$ [duplicate]
real-analysis
solution-verification
The truth value of $(P):(\exists m \in \mathbb{Z}) (\forall y\in \mathbb{Q}) : my\in\mathbb{N}$
discrete-mathematics
logic
solution-verification
propositional-calculus
predicate-logic
Show that $x^3 - 6x^2 + 11x - 6$ is divisible by $3, \forall x \in \mathbb{Z}$.
proof-writing
solution-verification
modular-arithmetic
My proof that sum of convergent sequences converges to sum of limits
real-analysis
sequences-and-series
limits
solution-verification
Prove that when x approaches to 1, function 1/(x-1) doesn't have limit
limits
solution-verification
Family of Generalized Integrals ${I}(a,b,p)=\int_0^{ab} \left( \left\{\frac{x}{a}\right\}-p\right) \left( \left\{\frac{x}{b}\right\}-p\right) \; dx$
real-analysis
calculus
integration
definite-integrals
solution-verification
De-mystifying tricks in proof – If $\{x_n\}$ converges, then Cesaro Mean converges.
real-analysis
sequences-and-series
solution-verification
continuous function on weak topology
general-topology
solution-verification
weak-topology
A continuous function that maps closed unit square to the unit open square
real-analysis
general-topology
continuity
metric-spaces
solution-verification
Suppose $A \subseteq P(A)$. Prove that $P(A)\subseteq P(P(A))$
elementary-set-theory
solution-verification
Solution verification:$\lim_{x\to 2}\frac{\ln(x-1)}{3^{x-2}-5^{-x+2}}$
calculus
limits-without-lhopital
solution-verification
Derivative of a logarithm (chain rule)
derivatives
solution-verification
A set which is not isomorphic to it's proper subset is finite
elementary-set-theory
solution-verification
set-theory
The tangent space is well-defined
differential-geometry
solution-verification
smooth-manifolds
tangent-spaces
Prove that $a_n=(-1)^n$ does not converge
sequences-and-series
limits
solution-verification
Prove trig identity: $\tan(x) + \cot(x) = \sec(x) \csc(x)$ wherever defined
trigonometry
solution-verification
UPDATED: If $f(x + y) \leq yf(x) + f(f(x))$ for all real numbers $x$ and $y$, prove that $f(0) = 0.$
algebra-precalculus
inequality
proof-writing
contest-math
solution-verification
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