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1
Given a line segment. Construct an equilateral triangle with one side the given line segment.
3
Finding a vector $v_3$ such that $\{v_1, v_2, v_3\}$ is a basis of $ℝ^3$
2
Group Homomorphism: Kernel, Image, quotient group
0
one-, to-one, and onto functions
0
well defined function question
1
Let $G$ a finite group. And let $\varphi : G→S(G):g↦λ_g$. If $|G|=nm$ and $|x|=n$, then $\varphi(g)$ is the product of $m$ disjoint $n$ cycles.
6
Infinite sets don't exist!?
0
A sequel for Elementary Analysis by Ross?
0
Examples of the dihedral group $D_4$ acting on sets
0
Let $G$ be the subgroup of $S_5$ generated by the cycle $(12345)$ and the element $(15)(24)$. Prove that $G \cong D_5$.
0
Let $x,y$ in a group G with uneven order. Let $x^2=y^2$. Show that $x=y$.
0
Construct a complete system of representatives for the left cosets of $H_2$ in $G$.
3
Mathematical Habit
1
Making up for wasted high school years - where should I begin?
2
May a group have two disjoint subgroups?
5
Let $H_1,H_2$ be two subgroups of $G$. Show that $ G=H_1 \cup H_2 \implies G=H_1 \lor G=H_2 $
10
How do I rewrite -100+1/2 as the mixed number -99 1/2?
0
How do I prove that a function is well defined?
4
Function notation terminology
1
Integrability doesn't change if we remove one point
0
Uniformly continuous and differentiable.
0
Short proof using continuous and differentiable.
0
Showing continuity of $f(x)=\frac{\sin(x)}{x}$
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