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Alim Teacher
  • Member for 9 years, 9 months
  • Last seen more than 2 years ago
  • Roskilde University, Denmark
31 votes
4 answers
72k views

Show that the eigenvalues of a unitary matrix have modulus $1$

9 votes
0 answers
12k views

Show that $1^k+2^k+...+n^k$ is $O (n^{k+1})$.

5 votes
3 answers
18k views

solve $y'=ay+b$ [duplicate]

3 votes
2 answers
7k views

Show that $\neg$ and $\wedge$ form a functionally complete collection of logical operators.

3 votes
1 answer
717 views

What is the set of propositional formulas?

3 votes
4 answers
8k views

show that $f(x)=-3x+4$ is bijective

3 votes
1 answer
297 views

Prenex normal form of $\neg \big(\forall x \ P(x) \vee \forall x \ Q(x) \big)$

3 votes
2 answers
817 views

If $A$ is a real symmetric matrix, then $A$ has real eigenvalues.

2 votes
2 answers
479 views

Show that a function is differentiable

2 votes
2 answers
908 views

The general solution for inhomogeneous differential equation

2 votes
1 answer
78 views

Verify that $\| T(x) \| = \| x \|$

2 votes
3 answers
6k views

Let $A_i= \left \{...,-2,-1,0,1,...,i \right\}$. Find $\bigcup_{i=1}^{n} A_i$ and $\bigcap_{i=1}^{n} A_i$

2 votes
4 answers
111 views

Evaluate the integral $\int_{0}^{4}\sqrt{9t^2+t^4}dt$

2 votes
3 answers
84 views

Find the tangen to $\cos(\pi \cdot x)$

2 votes
2 answers
81 views

Given two series $ x_n $ and $ y_n $

2 votes
1 answer
446 views

Understanding why $(a^{-1})^{-1} = a$ in a group

1 vote
3 answers
125 views

Showing continuity of a function by epsilon delta

1 vote
1 answer
73 views

Given a sequence of a function $f_n({x})$

1 vote
1 answer
2k views

A urine test, the VMA test

1 vote
2 answers
43 views

Given an expression

1 vote
1 answer
92 views

Find the derivatives to $f(x)=4/x^2$ and $g(t)=(t-5)/(1+\sqrt{t}\,)$

1 vote
2 answers
60 views

How can the equation $e^{-x^{2}}-2x^2e^{-x^{2}}=0$ be solved

1 vote
1 answer
1k views

Statements in prenex normal form.

1 vote
1 answer
111 views

Proof by contradiction that $P \rightarrow Q$ is true

1 vote
1 answer
2k views

Show that $f$ is one-to-one if and only if it is onto.

1 vote
1 answer
53 views

First-Order Linear Differential Equations

1 vote
3 answers
58 views

Differential equation $y'+10t=0$

1 vote
1 answer
338 views

Let $\tau$ be a closed tableau. Prove that $\tau$ is not satisfiable.

1 vote
3 answers
3k views

Show that if $A$ and $B$ are sets, then $(A\cap B) \cup (A\cap \overline{B})=A$.

1 vote
1 answer
57 views

Consider $g(p)=xf(p)$ and linearity and construct the matrix for the transformation.