User NL1992

5 votes

Accepted

if $\lim _{x\rightarrow \infty}{f'(x)}=0$ then does $\lim_{x \rightarrow \infty}{f(x)}$ exist in the broad sense

answered Jan 21, 2021 at 17:25

5 votes

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Prove that algebra is sigma-algebra

answered Jan 23, 2021 at 18:11

4 votes

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Need help understanding proof for probability of union for two events.

answered Dec 22, 2020 at 5:47

4 votes

Proving the continuity of the Cantor Function

answered Dec 1, 2018 at 23:18

4 votes

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Number of disjoint non-empty subsets [pigeonhole]

answered Jan 10, 2020 at 9:00

3 votes

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Expected value of a function in a probabilistic game

answered Oct 27, 2020 at 8:35

2 votes

Proving two sets are equal if the size of the intersection and union are equal

answered Nov 2, 2020 at 20:33

2 votes

Easy question about a closed set.

answered May 22, 2021 at 9:10

2 votes

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Simplify the following sum $\sum_{i=1}^n\frac1{n-(i-1)}$

answered Nov 11, 2020 at 20:06

1 vote

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Every ball in different urn

answered Dec 20, 2020 at 11:21

1 vote

Prove $\text {Dom}(f) \subseteq \text {Im} (g)$ for $g \circ f(x)=x$

answered Nov 1, 2020 at 19:50

1 vote

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There is a unique binary relation $<$ which turn the integral domain $(\mathbb{Z},+,\times)$ into an ordered integral domain.

answered Nov 2, 2020 at 20:06

1 vote

About some terminology and notation from elementary topology

answered May 18, 2021 at 18:46

1 vote

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Direct sum of kernel for polynomials of linear transformation

answered May 19, 2021 at 5:03

1 vote

Connected subset of a not connected set

answered May 19, 2021 at 6:17

1 vote

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Question about the equivalence relation of irreducible algebraic subset

answered May 22, 2021 at 7:18

1 vote

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Prove that, if L is regular, $P(L) = \{ w \in L\text{ } |\text{for any prefix } w' \text{ of w, } w' \in L\}$ is regular

answered Dec 25, 2020 at 11:38

1 vote

Prove that the odd polynomial equation $p(x)=0$ has at least one real solution (use intermediate value theorem)

answered Nov 2, 2020 at 21:08

1 vote

Accepted

Is there such a thing as "quadratic independence" (and higher generalizations of linear independence)?

answered Jul 29, 2021 at 13:51

1 vote

Counting The Number of Equivalence Relations on a Set

answered Nov 3, 2020 at 6:26

1 vote

Proving that the boundary set of $A=\{(x,y,z)\in\Bbb R^3:x+e^y<z^2\}$ is $\partial 𝐴 = \{ (x, y, z) \in \Bbb R^3 ∶ x + e^y = z^2 \}$.

answered Nov 3, 2020 at 7:42

1 vote

Show that $G_{u,v}$ is not decidable and not recognizable (nor is its complement)

answered Oct 27, 2020 at 8:12

1 vote

Way where $K$ elements (numbered $1$ to $K$) can be aligned in $N$ places where only one element is allowed to repeat?

answered Oct 31, 2020 at 19:14

1 vote

Proof of exponentiation law

answered Dec 1, 2018 at 23:22

1 vote

Field Extensions - Algebraic Extensions

answered Dec 2, 2018 at 1:26

1 vote

How to Show that $[2]_6$ and $[3]_9$ are disjoint

answered Dec 2, 2018 at 1:49

1 vote

Accepted

Compute the irreducible polynomials over Q for $a=\sqrt{2}+\sqrt{5}$ and $b=\sqrt[3]{2}+\sqrt{5}$

answered Dec 2, 2018 at 2:57

1 vote

Accepted

simple problem on divides

answered Dec 2, 2018 at 17:24

1 vote

proving that $a^6 \in L$ (tricky) (pumping lemma)

answered Dec 2, 2018 at 21:09

1 vote

How can I prove given language is not regular?

answered Dec 3, 2018 at 4:34

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40 Answers

if $\lim _{x\rightarrow \infty}{f'(x)}=0$ then does $\lim_{x \rightarrow \infty}{f(x)}$ exist in the broad sense

Prove that algebra is sigma-algebra

Need help understanding proof for probability of union for two events.

Proving the continuity of the Cantor Function

Number of disjoint non-empty subsets [pigeonhole]

Expected value of a function in a probabilistic game

Proving two sets are equal if the size of the intersection and union are equal

Easy question about a closed set.

Simplify the following sum $\sum_{i=1}^n\frac1{n-(i-1)}$

Every ball in different urn

Prove $\text {Dom}(f) \subseteq \text {Im} (g)$ for $g \circ f(x)=x$

There is a unique binary relation $<$ which turn the integral domain $(\mathbb{Z},+,\times)$ into an ordered integral domain.

About some terminology and notation from elementary topology

Direct sum of kernel for polynomials of linear transformation

Connected subset of a not connected set

Question about the equivalence relation of irreducible algebraic subset

Prove that, if L is regular, $P(L) = \{ w \in L\text{ } |\text{for any prefix } w' \text{ of w, } w' \in L\}$ is regular

Prove that the odd polynomial equation $p(x)=0$ has at least one real solution (use intermediate value theorem)

Is there such a thing as "quadratic independence" (and higher generalizations of linear independence)?

Counting The Number of Equivalence Relations on a Set

Proving that the boundary set of $A=\{(x,y,z)\in\Bbb R^3:x+e^y<z^2\}$ is $\partial 𝐴 = \{ (x, y, z) \in \Bbb R^3 ∶ x + e^y = z^2 \}$.

Show that $G_{u,v}$ is not decidable and not recognizable (nor is its complement)

Way where $K$ elements (numbered $1$ to $K$) can be aligned in $N$ places where only one element is allowed to repeat?

Proof of exponentiation law

Field Extensions - Algebraic Extensions

How to Show that $[2]_6$ and $[3]_9$ are disjoint

Compute the irreducible polynomials over Q for $a=\sqrt{2}+\sqrt{5}$ and $b=\sqrt[3]{2}+\sqrt{5}$

simple problem on divides

proving that $a^6 \in L$ (tricky) (pumping lemma)

How can I prove given language is not regular?