User anankElpis

9 votes

An easy method to solve this definite integral?

answered Aug 23, 2021 at 14:46

7 votes

Accepted

Is there anything wrong with this approach to proving the Fundamental Theorem of Algebra?

answered Jul 1, 2021 at 10:25

7 votes

Accepted

Show that $n^2$ divides $(n+1)^n -1$

answered Jul 7, 2021 at 17:03

6 votes

How does prime factorization fail for "nice" non-Dedekind Domains like $\mathbb Z[x]$?

answered Aug 8 at 11:17

4 votes

Finding all $x+y+z$ for positive integers satisfying $\frac{13}{x^2}+\frac{28}{y^2}=\frac{z}{85}$

answered Aug 4 at 14:22

4 votes

Accepted

Show that $\mathbb{Z}/(m_1) \otimes_{\mathbb{Z}/(n)} \mathbb{Z}/(m_2) \cong \mathbb{Z}/(m_1,m_2)$

answered Sep 10, 2021 at 20:56

3 votes

Accepted

Solve for x: $\lfloor x\rfloor \{\sqrt{x}\}=1$ where $\{x\}=x-\lfloor x\rfloor$

answered May 14, 2022 at 14:43

3 votes

Accepted

Find a recursion formula for combinatorial problem

answered Jul 13, 2021 at 8:07

3 votes

Accepted

Is there an easy way to algebraically manipulate a large exponential value with a base other than 10 into a base of 10 to be more tangible? IE: 3^3778

answered Jul 7, 2021 at 16:35

3 votes

Accepted

Can the elements of this recursive sequence be calculated individually?

answered Jul 19 at 21:44

3 votes

Very interesting Gibonacci covering problem for the set of integers $1$ to $n$

answered Jul 25 at 19:50

3 votes

Accepted

Powers of 2 among the terms of a linear recurrence sequence

answered Jul 31 at 8:02

3 votes

Accepted

A property of the convergents of the continued fraction expansion of a rational number

answered Aug 2, 2022 at 12:53

3 votes

Finding a polynomial function for alternating m numbers of odds and even numbers in sequences

answered Jun 15 at 23:27

2 votes

Accepted

Is it possible to find the i'th largest number using only min and max functions?

answered Jul 13, 2021 at 8:29

2 votes

Accepted

Continuity of integrand required or sufficient condition for differentiability of the integral

answered Jul 5, 2021 at 15:24

2 votes

Accepted

Let $G = \langle a\rangle$ be a group of order $n$. If $H$ is a subgroup of $G$ and $|H|=m$ divides $n$, then $H = \langle a^\frac{n}{m}\rangle$.

answered Jan 29, 2022 at 17:49

2 votes

Accepted

Rewriting the characteristic polynomial of a matrix

answered Jan 30, 2022 at 17:41

2 votes

Terminology - domain, codomain, image, and why no "pre-image".

answered Jan 5 at 2:42

2 votes

Accepted

Find the isomorphic ring with $\mathbb{Z_6}[x] / \langle x^3-x \rangle$ (Chinese remainder thm)

answered Feb 11, 2022 at 13:14

2 votes

Accepted

Proof of a property of the inner rank of a matrix.

answered Feb 13, 2022 at 13:37

2 votes

Accepted

Expected size of cookie that is halved 50% of the time someone passes by it

answered Feb 15, 2022 at 13:59

1 vote

Given the composition of function $f(g(x))$ and $g(x)$, what is the domain of $f(x)$?

answered Jan 29, 2022 at 16:23

1 vote

Accepted

Constructive proof of: If $\lim_{x \to a}(f \cdot g) (x) = L$ and $\lim_{x \to a}f (x) = \frac{L}{K}$ for $K \neq 0$, then $\lim_{x \to a}g (x)=K$.

answered Aug 24, 2021 at 9:17

1 vote

Finding the sum of the floor function of $a,(b-1)/2,c$ given two symmetric sums

answered Aug 4 at 15:30

1 vote

Prove that the sequence is monotonically decreasing

answered Jun 13 at 2:50

1 vote

Square with irrational side partitioned into rectangles

answered Jun 13 at 23:07

1 vote

Number of solutions to underdetermined system of equations in modular arithmetic vs real or complex valued equations

answered Jun 15 at 18:24

1 vote

Accepted

Prove the associativity of $(\Bbb Z_7,\oplus)$.

answered Feb 9, 2022 at 16:33

1 vote

Accepted

why $m(K + r) = m(K) \implies m(K)=0?$

answered Jul 7, 2021 at 12:58

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50 Answers

An easy method to solve this definite integral?

Is there anything wrong with this approach to proving the Fundamental Theorem of Algebra?

Show that $n^2$ divides $(n+1)^n -1$

How does prime factorization fail for "nice" non-Dedekind Domains like $\mathbb Z[x]$?

Finding all $x+y+z$ for positive integers satisfying $\frac{13}{x^2}+\frac{28}{y^2}=\frac{z}{85}$

Show that $\mathbb{Z}/(m_1) \otimes_{\mathbb{Z}/(n)} \mathbb{Z}/(m_2) \cong \mathbb{Z}/(m_1,m_2)$

Solve for x: $\lfloor x\rfloor \{\sqrt{x}\}=1$ where $\{x\}=x-\lfloor x\rfloor$

Find a recursion formula for combinatorial problem

Is there an easy way to algebraically manipulate a large exponential value with a base other than 10 into a base of 10 to be more tangible? IE: 3^3778

Can the elements of this recursive sequence be calculated individually?

Very interesting Gibonacci covering problem for the set of integers $1$ to $n$

Powers of 2 among the terms of a linear recurrence sequence

A property of the convergents of the continued fraction expansion of a rational number

Finding a polynomial function for alternating m numbers of odds and even numbers in sequences

Is it possible to find the i'th largest number using only min and max functions?

Continuity of integrand required or sufficient condition for differentiability of the integral

Let $G = \langle a\rangle$ be a group of order $n$. If $H$ is a subgroup of $G$ and $|H|=m$ divides $n$, then $H = \langle a^\frac{n}{m}\rangle$.

Rewriting the characteristic polynomial of a matrix

Terminology - domain, codomain, image, and why no "pre-image".

Find the isomorphic ring with $\mathbb{Z_6}[x] / \langle x^3-x \rangle$ (Chinese remainder thm)

Proof of a property of the inner rank of a matrix.

Expected size of cookie that is halved 50% of the time someone passes by it

Given the composition of function $f(g(x))$ and $g(x)$, what is the domain of $f(x)$?

Constructive proof of: If $\lim_{x \to a}(f \cdot g) (x) = L$ and $\lim_{x \to a}f (x) = \frac{L}{K}$ for $K \neq 0$, then $\lim_{x \to a}g (x)=K$.

Finding the sum of the floor function of $a,(b-1)/2,c$ given two symmetric sums

Prove that the sequence is monotonically decreasing

Square with irrational side partitioned into rectangles

Number of solutions to underdetermined system of equations in modular arithmetic vs real or complex valued equations

Prove the associativity of $(\Bbb Z_7,\oplus)$.

why $m(K + r) = m(K) \implies m(K)=0?$