Analysis

# 30 Questions

3
2
48
views

3
6
86
views

1
2
2
32
views

2
2
55
views

1
vote
2
38
views

1
vote
2
36
views

1
vote
1
24
views

1
vote
1
33
views

1
1
vote
1
51
views

1
vote
0
21
views

### Showing equivalences (functions, injective)

Apr 23 at 19:43 Analysis 107

0
3
47
views

0
2
33
views

0
3
42
views

0
0
31
views

### Is $p\neq 0$, then there are $x_+, x_- \in \mathbb{C}$ with $x_\pm ^2=p$.

May 17 at 14:49 Analysis 107
2
0
2
59
views

0
2
38
views

0
1
43
views

0
1
20
views

0
2
25
views

0
3
30
views

0
1
41
views

0
0
16
views

### Proof via induction: Show $kn\in \mathbb{N}$ for all $k,n \in \mathbb{N}$

May 5 at 14:07 Analysis 107

0
1
25
views

0
2
23
views

0
2
32
views

0
0
16
views

### $f(A)\cap f(B)=\emptyset$ for every $A,B ⊂ X$ with $A\cap B=\emptyset$ $\Longleftrightarrow$ f is injective. [duplicate]

Apr 24 at 16:06 Analysis 107

0
0
12
views

### How to prove $f(A\cap B)=f(A)\cap f(B) \quad \text{for every} \quad A,B⊂X$ when $f: X\rightarrow Y$ is injective? [duplicate]

Apr 23 at 21:36 Analysis 107

0
2
63
views

-1
1
30
views

-1