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Proof-explanation
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Determinant of a transposed matrix
August 1st, 2022
matrices
transpose
determinant
proof-explanation
15 Puzzle question - trying to understand reasoning here
July 20th, 2020
proof-explanation
discrete-mathematics
alternative-proof
Show that if $xu - yv = 1$ and $xv + yu = 0$ then $u$ and $v$ have unique solutions iff $x^2 + y^2 \neq 0$.
June 28th, 2020
alternative-proof
proof-verification
proof-writing
proof-explanation
Induction Proof The sum of the first n odd squares
August 1st, 2022
proof-explanation
discrete-mathematics
proof-writing
induction
$r = \frac{m}{n} = \frac{p}{q} \Rightarrow (b^m)^{1/n} = (b^p)^{1/q}$; help with proof
August 1st, 2022
proof-explanation
real-numbers
real-analysis
Prove the sqrt of 4 is irrational, where did I go wrong?
August 1st, 2022
proof-verification
fake-proofs
proof-explanation
elementary-number-theory
Tricky induction proof: pile of stones split into n groups
August 1st, 2022
discrete-mathematics
proof-explanation
Proof by induction that $n^2 - 1$ is divisible by 8 with $n \in \mathbb {2N+1}$
August 1st, 2022
divisibility
proof-explanation
proof-writing
induction
proof-verification
Proving the complement of sets
September 24th, 2020
proof-explanation
proof-verification
How does Munkres prove that lower limit topology is finer than the standard topology on $\mathbb{R}$
April 19th, 2020
proof-explanation
general-topology
Delta-Epsilon why is delta*c less than or equal to eplison*c
August 1st, 2022
epsilon-delta
proof-writing
proof-explanation
$\{a_1, a_2, a_3, ...\}$ is a non-constant arithmetic sequence, while both $a_1, a_2, a_6$ and $a_1, a_4$, an are finite geometric sequences. Find $n$
August 1st, 2022
proof-explanation
sequences-and-series
Greedy algorithm for coloring verticies proof explanation and alternative proofs
September 24th, 2020
graph-theory
proof-writing
algorithms
proof-explanation
coloring
Proof that $E[SS_E] = (n-2)\sigma^2$
August 11th, 2020
proof-explanation
probability
statistics
Sequence Lemma explanation
October 23rd, 2020
general-topology
real-analysis
proof-explanation
Prove that if $a<b$, then $-b<-a$
March 28th, 2021
proof-verification
proof-explanation
Show by induction that 2^n > n for all integers n > 0
August 1st, 2022
proof-explanation
discrete-mathematics
induction
Proof that Gale-Shapley is man optimal
August 1st, 2022
proof-explanation
algorithms
prove that if x is a real number, then $\lfloor2x\rfloor=\lfloor x\rfloor+\lfloor x + \frac{1}{2}\rfloor$
August 1st, 2022
proof-explanation
ceiling-and-floor-functions
Proof of Gibbs' inequality
August 29th, 2020
entropy
proof-explanation
inequality
Proving a bijective correspondence between a set of equivalence classes $A^*$ and a set $B$
August 1st, 2022
proof-explanation
proof-writing
elementary-set-theory
functions
real-analysis
If two matrices have the same column space and null space, are they the same matrix?
August 1st, 2022
linear-algebra
proof-explanation
matrices
Show that $n^2 \mod 5$ equals $0,1$, or $4$ for every integer $n$.
August 1st, 2022
proof-explanation
proof-writing
If $a,b, c \in \mathbb{Z}$, then $c ·\gcd(a,b) ≤ gcd(ca, cb)$.
August 1st, 2022
inequality
discrete-mathematics
gcd-and-lcm
proof-explanation
Show that the countable union of countable sets is countable - conceptualisation help
February 24th, 2020
elementary-set-theory
proof-explanation
real-analysis
Least-Upper-Bound Property $\implies$ Greatest-Lower Bound Property (Rudin)
August 1st, 2022
real-analysis
supremum-and-infimum
proof-explanation
If $n$ is divisible by 6, then $n$ is divisible by 3
August 1st, 2022
proof-verification
proof-explanation
Proof- difference of absolute values and absolute value difference
August 1st, 2022
proof-verification
real-analysis
proof-explanation
Estimate of n factorial: $n^{\frac{n}{2}} \le n! \le \left(\frac{n+1}{2}\right)^{n}$
January 27th, 2020
factorial
proof-explanation
inequality
Solving Simple Partial Differential Equation
September 4th, 2020
partial-derivative
ordinary-differential-equations
partial-differential-equations
proof-writing
proof-explanation
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