User Noble Mushtak

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Integer Division Solutions

answered Jan 23, 2016 at 23:29

5 votes

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Solve the following equation: $z^4+z^3+z^2+z+1=0$

answered Jan 31, 2016 at 16:33

5 votes

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Integer multiplication vs. "multiple" notation in abstract algebra

answered Mar 26, 2016 at 21:16

5 votes

Prove that for any diagonalizable matrix $A$, $A^n$ is diagonalizable and also $aA^m+bA^n$

answered Jun 24, 2016 at 14:51

5 votes

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What is the meaning of $\Bbb{Q}[x]/f(x)$?

answered Jun 23, 2016 at 18:04

5 votes

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Smallest positive element of $ \{ax + by: x,y \in \mathbb{Z}\}$ is $\gcd(a,b)$

answered Jun 22, 2016 at 3:44

5 votes

Solve $10^x+11^x+12^x = 13^x+14^x$

answered Dec 27, 2016 at 22:29

5 votes

Factorize $x^4+16x-12$ over reals

answered Dec 25, 2016 at 20:16

5 votes

What actually "forces" us to define the operations on $\mathbb{Q}$ the way they are?

answered Dec 30, 2016 at 22:16

5 votes

Curvature of curve: equivalence between tangent vector and angle definitions

answered Dec 27, 2018 at 0:28

5 votes

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Difficulty regarding understanding a proof of multiplication of infinite series

answered Dec 27, 2018 at 14:59

4 votes

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Represent $\frac{2}{5}$ in quarternary form.

answered Jun 19, 2016 at 21:52

4 votes

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What is the correct negation of the Statement "For every rational number $x$, $x \lt x + 1$ "

answered Jun 19, 2016 at 21:14

4 votes

A subring of $\Bbb{Z}[X]/(X^2)$ that is a integral domain?

answered May 9, 2016 at 19:12

4 votes

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In the proof of the existence of $n^{\text{th}}$ roots (Rudin, Theorem 1.21), why is $y-k$ an upper bound of $E$?

answered May 10, 2016 at 0:44

4 votes

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Why is $f(4)$ the area under $f'(x)$ specifically from $0$ to $4$ and not for ex from $1$ to $4$ or $2$ to $4$?

answered May 12, 2016 at 23:21

4 votes

Primes of the form $(2p)^{2}+1$, $p$ prime, have $h^{2}+1$ as a prime divisor?

answered Apr 18, 2016 at 23:25

4 votes

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Finite groups and prime divisors. Understanding how to deduce a claim from a certain proof.

answered Jun 12, 2016 at 19:13

4 votes

Find the number which the given equation is true

answered Jun 18, 2016 at 13:54

4 votes

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How to find the value of $\sin24^\circ$

answered Jun 13, 2016 at 3:35

4 votes

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Naming convention for matrix that is not inverted

answered Dec 30, 2018 at 20:11

4 votes

If $-1\leq x, y \leq 1$ and $x\sqrt{1-y^2} + y\sqrt{1-x^2} = 1$, find $x^2+y^2$

answered Dec 31, 2018 at 3:29

4 votes

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Solving : $2n^{\frac{1}{2}}-1.5n^{\frac{1}{3}}+n^{\frac{1}{6}}=y$ for $n$ in terms of $y$

answered Dec 30, 2018 at 3:44

4 votes

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Describe the smallest ideal (x, y) in k[x, y] containging both x and y.

answered Apr 18, 2016 at 0:34

4 votes

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$f$ is divisible by a square of non-constant polynomial iff $f,f'$ are not relatively prime

answered Feb 7, 2016 at 2:47

4 votes

Find all $z$ such that $e^z=6i$

answered Feb 13, 2016 at 0:40

4 votes

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Proof for Theorem of Upper and Lower Bounds On Zeroes of Polynomials

answered Jan 31, 2016 at 0:08

4 votes

Find the value of K for which the given matrix has rank 2

answered Oct 31, 2016 at 0:17

4 votes

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Let $H = \langle x \rangle$. Assume $\lvert x \rvert = \infty$. Then $H = \langle x^a \rangle$ iff $a = \pm 1$

answered Oct 31, 2016 at 0:26

4 votes

$f(x+a)$ irreducibility means $f(x)$ irreducibility

answered Jun 26, 2016 at 19:40

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580 Answers

Integer Division Solutions

Solve the following equation: $z^4+z^3+z^2+z+1=0$

Integer multiplication vs. "multiple" notation in abstract algebra

Prove that for any diagonalizable matrix $A$, $A^n$ is diagonalizable and also $aA^m+bA^n$

What is the meaning of $\Bbb{Q}[x]/f(x)$?

Smallest positive element of $ \{ax + by: x,y \in \mathbb{Z}\}$ is $\gcd(a,b)$

Solve $10^x+11^x+12^x = 13^x+14^x$

Factorize $x^4+16x-12$ over reals

What actually "forces" us to define the operations on $\mathbb{Q}$ the way they are?

Curvature of curve: equivalence between tangent vector and angle definitions

Difficulty regarding understanding a proof of multiplication of infinite series

Represent $\frac{2}{5}$ in quarternary form.

What is the correct negation of the Statement "For every rational number $x$, $x \lt x + 1$ "

A subring of $\Bbb{Z}[X]/(X^2)$ that is a integral domain?

In the proof of the existence of $n^{\text{th}}$ roots (Rudin, Theorem 1.21), why is $y-k$ an upper bound of $E$?

Why is $f(4)$ the area under $f'(x)$ specifically from $0$ to $4$ and not for ex from $1$ to $4$ or $2$ to $4$?

Primes of the form $(2p)^{2}+1$, $p$ prime, have $h^{2}+1$ as a prime divisor?

Finite groups and prime divisors. Understanding how to deduce a claim from a certain proof.

Find the number which the given equation is true

How to find the value of $\sin24^\circ$

Naming convention for matrix that is not inverted

If $-1\leq x, y \leq 1$ and $x\sqrt{1-y^2} + y\sqrt{1-x^2} = 1$, find $x^2+y^2$

Solving : $2n^{\frac{1}{2}}-1.5n^{\frac{1}{3}}+n^{\frac{1}{6}}=y$ for $n$ in terms of $y$

Describe the smallest ideal (x, y) in k[x, y] containging both x and y.

$f$ is divisible by a square of non-constant polynomial iff $f,f'$ are not relatively prime

Find all $z$ such that $e^z=6i$

Proof for Theorem of Upper and Lower Bounds On Zeroes of Polynomials

Find the value of K for which the given matrix has rank 2

Let $H = \langle x \rangle$. Assume $\lvert x \rvert = \infty$. Then $H = \langle x^a \rangle$ iff $a = \pm 1$

$f(x+a)$ irreducibility means $f(x)$ irreducibility