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Dominic Michaelis's user avatar
Dominic Michaelis's user avatar
Dominic Michaelis's user avatar
Dominic Michaelis
  • Member for 11 years, 5 months
  • Last seen more than a week ago
4 votes
Accepted

Why if unity is not an eigeinvalue of A then (I - A) is nonsingular?

4 votes

linear algebra, show B is a basis for $\mathbb{R}^3$

4 votes

Integration by parts : $\int 2x \cos(x^2 + 1) dx$

4 votes

Calculate the limit of a sequence

4 votes

$(\frac1{n^{\sqrt n}})^{\frac1n}=(n^{-\frac{\sqrt n}{n}})^{}$

4 votes
Accepted

Problem showing a certain series converges

4 votes

Find the shortest distance between $9x^2+9y^2-30y+16=0$ and $y^2=x^3$

4 votes
Accepted

Prove the sequence $x_n = \frac{x_{n-1}}{2}+\frac{A}{2x_{n-1}} \rightarrow \sqrt{A}$ as $n \to \infty$

4 votes
Accepted

if $x\le a,x\le f(x)\le a$ and $x_{n+1}=f(x_n)$ then $\lim x_n=a$?

4 votes
Accepted

Proof by contradiction: $ S \subseteq \emptyset \rightarrow S= \emptyset $

4 votes

Prove that $\lim_{x\to 2}x^2=4$ using $\epsilon-\delta$ definition.

4 votes
Accepted

Solve for $X$ in a simple equation system.

4 votes
Accepted

Specific question about the consequence of composing power series

4 votes
Accepted

How can I find out the coefficient of a polynomial by knowing certain coordinates?

4 votes

Does $\|z\|=(\sqrt{|x|}+\sqrt{|y|})^{\frac{1}{2}}$ define a norm on $\mathbb R^2$

4 votes

Minimum of $x^2 + 3x - 1$ on $[0,1]$ and $[-2,2]$

4 votes
Accepted

$f^{(133)}(0)$ where $f(x)=x^3\sin(x)$

4 votes

Let $ P $ be a non-constant polynomial in z. Show that $ P(z) \rightarrow \infty $ as $ z \rightarrow \infty $

4 votes
Accepted

Let $N$ be a $2× 2$ complex matrix such that $N^2=0$. how could I show $N=0$, or $N$ is similar over the matrix.

4 votes

Determine whether each of the relations $f=\{(a,b), (c,d), (e,f), (g,h), (i,j)\}$ is a function with domain $\{1,2,3,4\}$

4 votes

Existence of a continuous function which does not achieve a maximum.

4 votes

if $U$ is compact, how show that $[U]_+$ is compact?

4 votes
Accepted

Uniformly continuous function in any segment of interval

4 votes

How does one determine the $\sigma$-algebra of $\mu^{*}$-measurable subsets for the following $\mu^{*}$?

4 votes
Accepted

The transform of a Hermitian matrix by a unitary matrix is Hermitian

4 votes
Accepted

Solve $z^5 + 16\bar z = 0$ for $z\in \mathbb{C}$

4 votes
Accepted

What series test would you use on these and why?

4 votes

Trigonometrical limit $\lim\limits_{ x\to 0 } \frac{\sin x - x\cos x}{x^3}?$

4 votes
Accepted

Evaluating particular sums

4 votes

prove two matrices are similar

1 2 3
4
5
17