DonAntonio

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2,090 Answers

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6
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 $
6
How to prove that $n^2(2^n) / n! \to 0$ as $n \to \infty$
6
A divisible abelian group is not finitely generated: group theoretical proof
6
Does the $\sum_{n=1}^\infty \frac{1}{n\sqrt[n]{n}}$ converge?
6
Show that there are no nonzero solutions to the equation $x^2=3y^2+3z^2$
6
are there any “deep” reasons for representing linear systems as $Ax=b$ instead of $xA=b$?
6
Coming up with an example, a function that is continuous but not uniformly continuous
6
Prove $|\frac{1}{n} - \frac{1}{x}| \le \frac{1}{n^2}$
6
Maximal ideals in $K[X_1,\cdots,X_n]$
6
Number of solutions for sixth order equation
6
Show that every group $G$ of order $175$ is abelian and list all isomorphism types of these groups
6
How to show the circle group $\mathbb{T}$ is isomorphic to $\mathbb{C}^*/\mathbb{R}^+$?
6
For which values of $x,y$ does $x^2+y^2$ take the minimum?
6
Why do we say that two vectors in $R^3$ cannot span $R^2$?
6
Determinant of a $4\times4$ invertible matrix
6
What is an example of a situation where AB is not subgroup of G, when A, B are subgroups of G?
6
Without integration, explain the following equation
6
Classify all groups of order 1225
6
simple induction, why does it go this way?
6
Abelian Groups of order 2000
6
There does not exist a group $G$ such that $|G/Z(G)|=pq$ for $p,q$ prime.
6
$16^{18}+16^{18}+16^{18}+16^{18}+16^{18}=4^x$ without a calculator
6
Easy math question
6
How to integrate $\int_0^1x^a(1-x)^bdx$
6
Calculus proof for the area of a circle
6
Finding the divisor of an unknown
6
How to see that the shift $x \mapsto (x-c)$ is an automorphism of $R[x]$?
6
Michael Spivak in “Calculus” asserts that $\sqrt2$ cannot be proven to exist, and that such a proof is impossible. What does he mean by “exist”?
6
Evaluating $\int_{0}^{1} \frac{x^{2} + 1}{x^{4} + 1 } \ dx$
6
Calculate $\ln(2)$ using Riemann sum.
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