User William

49 votes

4 answers

9k views

What exactly is a matrix?

asked May 15, 2018 at 19:16

25 votes

6 answers

850 views

How "same" are two isomorphic groups?

group-theory group-isomorphism

asked Dec 27, 2021 at 16:38

19 votes

6 answers

3k views

What does using "Euclidean" before anything mean in Mathematics? [closed]

terminology definition

asked Aug 13, 2020 at 11:20

14 votes

3 answers

2k views

Why is $\sin : \mathbb{R} \to [-5,5] $ different from $\sin : \mathbb{R} \to \mathbb{R}$? [duplicate]

functions

asked Jul 30, 2018 at 11:15

12 votes

11 answers

786 views

What is the logical flaw in this reasoning? Abusing $T \equiv T \vee F$.

logic first-order-logic predicate-logic

asked Aug 22, 2021 at 10:40

11 votes

5 answers

828 views

Why do we eventually end up with $0$ in Euclidean Algorithm?

elementary-number-theory

asked Oct 13, 2018 at 16:34

9 votes

2 answers

207 views

Why doesn't L'hopitals Rule work for $\lim\limits_{x \to \infty} \frac{x+ \sin x}{x+ 2 \sin x}$? [duplicate]

limits

asked Dec 27, 2018 at 13:44

9 votes

7 answers

6k views

If the order in a set doesn’t matter, can we change order of, say, $\Bbb{N}$?

elementary-set-theory natural-numbers

asked Aug 15, 2018 at 12:11

9 votes

2 answers

185 views

What are the functions that make composite functions called?

terminology

asked Jul 11, 2018 at 13:10

7 votes

1 answer

178 views

Finding number of permutations of order $k$ in $S_n$

group-theory discrete-mathematics permutations symmetric-groups permutation-cycles

asked Nov 16, 2021 at 11:46

6 votes

3 answers

726 views

How do I start this integral problem: $\int_0^1 \frac{\ln^3 u}{1-u} du = -\frac{\pi^4}{15} $? [closed]

integration definite-integrals riemann-integration pi

asked May 26, 2018 at 7:42

6 votes

1 answer

119 views

Solution verification of $\lim\limits_{n \to \infty} \sum\limits_{r=1}^{n}\dfrac{1}{(n+r)^p}$?

real-analysis calculus sequences-and-series limits solution-verification

asked Jun 18, 2021 at 10:17

5 votes

2 answers

739 views

Why are integer GCDs positive? [unit normalization of GCDs]

abstract-algebra elementary-number-theory gcd-and-lcm

asked Oct 2, 2018 at 10:12

5 votes

2 answers

343 views

How do I solve this algebra problem

algebra-precalculus systems-of-equations nonlinear-system

asked Jul 28, 2018 at 17:45

4 votes

2 answers

203 views

What is $\int\frac{x^4}{1+ e^x} dx$?

calculus integration indefinite-integrals

asked Jul 20, 2018 at 19:55

4 votes

2 answers

1k views

Does changing the order of sigma notation matter?

summation

asked Aug 12, 2018 at 11:48

4 votes

5 answers

6k views

What does $f(x,y)$ mean?

functions

asked Aug 19, 2018 at 15:31

4 votes

3 answers

176 views

Proving trigonometric problem from given trigonometric equations [duplicate]

trigonometry

asked Jun 17, 2018 at 20:35

4 votes

2 answers

120 views

What exactly does argument of a function mean?

functions terminology

asked Jun 20, 2018 at 10:26

4 votes

3 answers

235 views

Does $\dfrac{d}{dx} f(x) = 0 \Rightarrow f(x)$ is a constant function?

calculus limits

asked Sep 26, 2018 at 10:57

4 votes

2 answers

710 views

Why does a finitely oscillating sequence always has at least $2$ limit points?

real-analysis sequences-and-series

asked Oct 25, 2018 at 16:46

4 votes

2 answers

1k views

Is polynomial in general the same as polynomial function?

functions polynomials definition

asked Nov 17, 2018 at 8:26

4 votes

3 answers

965 views

How or why are implicit functions actually functions?

functions implicit-differentiation implicit-function

asked Jan 23, 2019 at 18:47

4 votes

2 answers

209 views

Can a group be thought of as some kind of "rule book" telling how symmetries interact with each other?

abstract-algebra group-theory intuition

asked Jan 28, 2021 at 10:22

4 votes

2 answers

126 views

Is $xSx^{-1} \subseteq S$ equivalent to $xSx^{-1} =S$ in a group?

abstract-algebra group-theory

asked Jan 11 at 22:31

3 votes

2 answers

120 views

Does $y = f(x)$ and $y=g(x)$ imply $f(x)=g(x)$?

calculus algebra-precalculus functions

asked Jan 15 at 13:11

3 votes

2 answers

126 views

Intuition for Bolzano-Weierstrass Theorem

real-analysis sequences-and-series

asked Jun 11, 2021 at 9:47

3 votes

1 answer

113 views

Proving a sequence is convergent using subsequences.

real-analysis sequences-and-series

asked Jul 8, 2021 at 13:25

3 votes

1 answer

134 views

Powers of $i$ in Complex Numbers.

complex-numbers

asked Mar 30, 2019 at 10:05

3 votes

3 answers

111 views

How do I find the value of $\sqrt{0+\sqrt{0+ \ ...}}$?

algebra-precalculus

asked Apr 8, 2019 at 12:21

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173 Questions

What exactly is a matrix?

How "same" are two isomorphic groups?

What does using "Euclidean" before anything mean in Mathematics? [closed]

Why is $\sin : \mathbb{R} \to [-5,5] $ different from $\sin : \mathbb{R} \to \mathbb{R}$? [duplicate]

What is the logical flaw in this reasoning? Abusing $T \equiv T \vee F$.

Why do we eventually end up with $0$ in Euclidean Algorithm?

Why doesn't L'hopitals Rule work for $\lim\limits_{x \to \infty} \frac{x+ \sin x}{x+ 2 \sin x}$? [duplicate]

If the order in a set doesn’t matter, can we change order of, say, $\Bbb{N}$?

What are the functions that make composite functions called?

Finding number of permutations of order $k$ in $S_n$

How do I start this integral problem: $\int_0^1 \frac{\ln^3 u}{1-u} du = -\frac{\pi^4}{15} $? [closed]

Solution verification of $\lim\limits_{n \to \infty} \sum\limits_{r=1}^{n}\dfrac{1}{(n+r)^p}$?

Why are integer GCDs positive? [unit normalization of GCDs]

How do I solve this algebra problem

What is $\int\frac{x^4}{1+ e^x} dx$?

Does changing the order of sigma notation matter?

What does $f(x,y)$ mean?

Proving trigonometric problem from given trigonometric equations [duplicate]

What exactly does argument of a function mean?

Does $\dfrac{d}{dx} f(x) = 0 \Rightarrow f(x)$ is a constant function?

Why does a finitely oscillating sequence always has at least $2$ limit points?

Is polynomial in general the same as polynomial function?

How or why are implicit functions actually functions?

Can a group be thought of as some kind of "rule book" telling how symmetries interact with each other?

Is $xSx^{-1} \subseteq S$ equivalent to $xSx^{-1} =S$ in a group?

Does $y = f(x)$ and $y=g(x)$ imply $f(x)=g(x)$?

Intuition for Bolzano-Weierstrass Theorem

Proving a sequence is convergent using subsequences.

Powers of $i$ in Complex Numbers.

How do I find the value of $\sqrt{0+\sqrt{0+ \ ...}}$?