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Proof-verification
New post in Proof-verification
Prove number of handshakes between $n$ people is $\tfrac{n(n−1)}{2}$ by induction
August 1st, 2022
discrete-mathematics
induction
proof-writing
proof-verification
If T(S) is linearly independent, show S is linearly independent
April 17th, 2020
proof-verification
linear-algebra
Show that following subset of $\mathbb R^2$ is compact
November 26th, 2020
proof-verification
compactness
Proof of a closure of S is itself a closed set
August 1st, 2022
general-topology
proof-verification
real-analysis
Proof that a function is bounded
April 9th, 2020
calculus
limits-without-lhopital
proof-verification
limits
Problem with three coins, two flips
August 1st, 2022
proof-verification
probability
Prove that the product of a constant and a continuous function is continuous.
August 1st, 2022
proof-verification
limits
epsilon-delta
Show that there is no rational number $x$ such that $x^2=12$.
August 1st, 2022
proof-verification
proof-writing
real-analysis
What is the proof that adding an edge to a spanning tree creates a cycle?
August 1st, 2022
proof-verification
graph-theory
Is my proof of the identity $|e^{iy}|=1$ logically valid?
September 15th, 2020
complex-analysis
proof-verification
complex-numbers
proof-writing
proof-explanation
Show that no non-trivial open set in $\mathbb{R}^n$ has measure zero in $\mathbb{R}^n$
December 7th, 2020
general-topology
proof-verification
integration
Show that Col(A)=Col(AB). A and B are square matrices of the same size, B is invertible
January 6th, 2022
matrices
proof-verification
linear-algebra
If X and Y are two sets of vectors in a vector space V, and if X $\subset$ Y, then is span X $\subset$ span Y?
September 23rd, 2020
span
linear-algebra
vector-spaces
proof-verification
Poles of $\frac{\sin z}{z}$
April 16th, 2020
complex-analysis
limits
proof-verification
$\sin x + \sin2x + \sin3x = \cos x + \cos2x + \cos3x$
May 29th, 2020
proof-verification
trigonometry
Proof that G is Abelian given $xy=zx\implies y=z$ for $x,y,z \in G$
September 13th, 2020
group-theory
proof-verification
Let A and B be sets. Prove that A = B iff the power set of A is equal to the power set of B.
February 16th, 2020
proof-writing
elementary-set-theory
proof-verification
Prove that closed and bounded subsets of metric spaces are compact
August 1st, 2022
real-analysis
general-topology
proof-verification
metric-spaces
proof-writing
Proof by contradiction for: Prove that there do not exist positive integers $m$ and $n$ such that $m^2 - n^2 = 1$
August 1st, 2022
proof-verification
proof-explanation
alternative-proof
Proof verification: If $xy=x^{-1}y^{-1}$ for all $x,y\in G$, then $G$ is abelian.
August 1st, 2022
abstract-algebra
abelian-groups
proof-verification
group-theory
Prove that if $m$ and $n$ are natural numbers and $n|m$, then $n \leq m$?
August 1st, 2022
proof-verification
elementary-number-theory
inequality
How to prove that if $a,b > 1$ then $1+ab > a+b$?
January 8th, 2020
algebra-precalculus
proof-explanation
proof-verification
If $g \circ f$ is one-to-one, is $g$ one-to-one?
August 1st, 2022
functions
discrete-mathematics
proof-verification
elementary-set-theory
Prove or disprove: For every integer a, if a is not congruent to 0 (mod 3), the a^2 is congruent to 1 (mod 3)
February 25th, 2020
proof-verification
elementary-number-theory
Prove an eigenvector for two matrices is also the eigenvector for the product of those matrices.
August 1st, 2022
linear-algebra
proof-verification
If true, prove that 2 real numbers satisfy $a<b$ iff $a<b+ \epsilon$ $\forall \epsilon >0$
January 31st, 2020
proof-verification
real-analysis
Prove $(A-B) \cap (B-A) = \emptyset$
June 4th, 2020
proof-verification
elementary-set-theory
W1 + W3 = W2 + W3. Then W1 = W2
November 26th, 2020
proof-verification
elementary-set-theory
vector-spaces
alternative-proof
Maximum and minimum values of probabilities
August 8th, 2020
proof-verification
probability
If $gf$ is 1-1, is $g$ 1-1?
August 1st, 2022
proof-verification
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