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Proof-verification
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Proving $a^2$ is even $\implies$ $a$ is even by contradiction
September 15th, 2020
proof-verification
Union of connected subspaces $A$ and $B$ of $X$ such that $A\cap \overline{B} \ne \varnothing$ is connected
August 1st, 2022
alternative-proof
general-topology
proof-verification
Using Induction To Prove that...
October 27th, 2020
discrete-mathematics
induction
proof-verification
Proof for the union of two finite sets being finite
October 22nd, 2020
proof-verification
elementary-set-theory
If $ghg^{-1}\in H$ for all $g\in G$ and $h\in H$, prove that $gH=Hg$ for $g\in G$.
February 27th, 2020
proof-verification
group-theory
Hölder continuous functions are uniformly continuous
April 24th, 2020
proof-writing
uniform-continuity
holder-spaces
real-analysis
proof-verification
Finding all subgroups of $\mathbb{Z_n}$
August 1st, 2022
proof-verification
abstract-algebra
$\gcd(a,b) = \gcd(a, a+2b)$ where $a$ is an odd integer
October 24th, 2020
integers
gcd-and-lcm
proof-verification
discrete-mathematics
elementary-number-theory
Three cards are randomly chosen without replacement from an ordinary deck of 52 playing cards.
July 18th, 2020
proof-verification
probability
Supremum of a set of rationals
August 1st, 2022
real-analysis
proof-verification
proof-writing
supremum-and-infimum
Proof verification: convergent series with a finite number of negative terms is Absolutely Convergent
August 1st, 2022
real-analysis
sequences-and-series
limits
proof-verification
Show that $E[1/X] = 1/E[X]$ using Jensen's inequality
June 26th, 2020
proof-verification
jensen-inequality
Discuss the solution to 5x ≡ 8(mod 10)
February 8th, 2020
proof-verification
elementary-number-theory
modular-arithmetic
Proof verification: There exists a positive real number $x$ such that $x^2=2$
May 3rd, 2020
real-analysis
proof-verification
Proving a list is linearly independent.
February 5th, 2020
linear-algebra
proof-verification
Showing continuity of a max function
April 9th, 2020
proof-writing
epsilon-delta
real-analysis
proof-verification
continuity
Prove that if a sequence $x_n$ tends to infinity, then $\frac{1}{x_n}$ converges to zero.
May 12th, 2020
real-analysis
proof-verification
epsilon-delta
convergence-divergence
If $a>0$, then $b<0 \implies ab < 0 $?
August 1st, 2022
proof-verification
inequality
proof-writing
Check my proof of showing that diam$(A)=$ diam$(\bar{A})$
October 29th, 2020
metric-spaces
proof-writing
alternative-proof
proof-verification
Is this a valid proof of "For all integers m and n, if mn is even, then m is even, or n is even"?
August 1st, 2022
proof-verification
discrete-mathematics
What is the probability of getting NO PAIRS in a $13$-card poker game?
August 1st, 2022
combinatorics
proof-verification
poker
probability
Expectation of non-negative random variable
August 1st, 2022
proof-verification
expected-value
probability
integration
$y '' + y = \cos^2x$ using variation of parameters.
April 1st, 2020
proof-verification
ordinary-differential-equations
calculus
trigonometry
Find the number of vertices n of the tree?
August 1st, 2022
graph-theory
proof-verification
For a, b ∈ N, let A and B be the sets of all integer multiples of a and b. Prove that for all a,b ∈ N, a = b iff A = B.
August 1st, 2022
elementary-set-theory
proof-writing
proof-verification
Proof by induction: Matrices
August 1st, 2022
proof-verification
induction
linear-algebra
matrices
proof-writing
$Rank(A+B)\leq Rank(A)+Rank(B)$
August 17th, 2020
linear-algebra
proof-verification
Prove that the set of all binary sequences is uncountable
November 26th, 2020
proof-writing
binary
proof-verification
Solving $y'-y=2\cos 5t$ using the Laplace Transform
April 4th, 2020
laplace-transform
proof-verification
ordinary-differential-equations
Prove that inverse of matrix A is symmetric
August 1st, 2022
symmetric-matrices
inverse
proof-verification
matrices
linear-algebra
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