Question

Prove that $cl_{f}(A)= \bigcap\{C:A\subseteq C \subseteq B \text{ and } C \text{ is closed under } f\}$

score 67 · Answer 1 · 2026-03-22 13:12:29

67

Views

Prove that $cl_{f}(A)= \bigcap\{C:A\subseteq C \subseteq B \text{ and } C \text{ is closed under } f\}$

Published on 22 Mar 2026 - 13:12

score 238 · Answer 2 · 2026-03-23 13:26:36

238

Views

Use the definition to prove for all natural number m, 4m+ 7 odd.

Published on 23 Mar 2026 - 13:26

score 58 · Answer 3 · 2026-03-20 06:26:36

58

Views

Homotopic maps between pointed sets induce same group homomorphism

Published on 20 Mar 2026 - 6:26

score 397 · Answer 4 · 2018-01-31 04:47:58

397

Views

Proof Verification: No finite set spans $P$, the set of all polynomial functions.

Published on 31 Jan 2018 - 4:47

score 641 · Answer 5 · 2018-01-31 04:56:55

641

Views

If $Y$ is a compact subset of $X$, and $Z\subset Y$, then $Z$ is compact if and only if $Z$ is closed.

Published on 31 Jan 2018 - 4:56

score 244 · Answer 6 · 2018-01-31 06:18:00

244

Views

If $Y_1,...,Y_n$ are a finite collection of compact subsets of $X$, then their union $Y_1\cup....\cup Y_n$ are also compact.

Published on 31 Jan 2018 - 6:18

score 54 · Answer 7 · 2018-01-31 06:57:10

54

Views

Not satisfied with outcome of continuity proof

Published on 31 Jan 2018 - 6:57

score 398 · Answer 8 · 2018-01-31 07:38:30

398

Views

Show that the set of polynomials divisible by $x-1$ cannot span $P$, the set of all polynomials.

Published on 31 Jan 2018 - 7:38

score 38 · Answer 9 · 2018-01-31 07:51:00

38

Views

$\{x: 2x^2\cos(1/x) \le 1\} \cup \{0\}$ is complete.

Published on 31 Jan 2018 - 7:51

score 81 · Answer 10 · 2026-03-22 13:05:44

81

Views

Linearly independent eigenvector

Published on 22 Mar 2026 - 13:05

score 618 · Answer 11 · 2026-03-22 21:10:55

618

Views

Use combinatorial arguments to prove the following binomial identities

Published on 22 Mar 2026 - 21:10

score 97 · Answer 12 · 2026-03-25 15:42:17

97

Views

Beckenbach Introduction to Inequalities Chapter 2: Show $(a+b)/2 \le ( (a^2 + b^2 )/2)^{1/2}$

Published on 25 Mar 2026 - 15:42

score 2.7k · Answer 13 · 2018-02-01 00:39:08

2.7k

Views

Why is this proof false? $\sqrt 2 + \sqrt 6 < \sqrt 15$

Published on 01 Feb 2018 - 0:39

score 141 · Answer 14 · 2018-02-01 01:44:06

141

Views

Unique Solutions w/ Probabilities

Published on 01 Feb 2018 - 1:44

score 162 · Answer 15 · 2018-02-01 02:32:19

162

Views

Conditional probability exercise about cancer population.

Published on 01 Feb 2018 - 2:32

List Question

Prove that $cl_{f}(A)= \bigcap\{C:A\subseteq C \subseteq B \text{ and } C \text{ is closed under } f\}$

Use the definition to prove for all natural number m, 4m+ 7 odd.

Homotopic maps between pointed sets induce same group homomorphism

Proof Verification: No finite set spans $P$, the set of all polynomial functions.

If $Y$ is a compact subset of $X$, and $Z\subset Y$, then $Z$ is compact if and only if $Z$ is closed.

If $Y_1,...,Y_n$ are a finite collection of compact subsets of $X$, then their union $Y_1\cup....\cup Y_n$ are also compact.

Not satisfied with outcome of continuity proof

Show that the set of polynomials divisible by $x-1$ cannot span $P$, the set of all polynomials.

$\{x: 2x^2\cos(1/x) \le 1\} \cup \{0\}$ is complete.

Linearly independent eigenvector

Use combinatorial arguments to prove the following binomial identities

Beckenbach Introduction to Inequalities Chapter 2: Show $(a+b)/2 \le ( (a^2 + b^2 )/2)^{1/2}$

Why is this proof false? $\sqrt 2 + \sqrt 6 < \sqrt 15$

Unique Solutions w/ Probabilities

Conditional probability exercise about cancer population.

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