User Elise9

4 votes

1 answer

64 views

$\lim\limits_{x\to 0} \dfrac{e^x-e^{x\cos x}}{x+\sin x}$ [duplicate]

asked Apr 16 at 20:36

2 votes

1 answer

56 views

What is the norm of an ideal $(2,1+\sqrt{-5})$ in $\mathbb Z[\sqrt{-5}]$?

asked May 15 at 20:45

2 votes

2 answers

215 views

Can infinite union of finite sets be finite? [duplicate]

asked Jul 5, 2023 at 15:40

1 vote

0 answers

48 views

Kernel of Function

asked Jan 13, 2022 at 7:35

1 vote

1 answer

105 views

Does there exist a linear functional $L$ on $l^{\infty}$ such that $L(x)=\lim_{n\to \infty} x_n$?

asked May 4, 2023 at 7:25

1 vote

2 answers

134 views

About Norm of an element $x$ and Norm of an element in its Dual

asked May 4, 2023 at 14:10

1 vote

1 answer

135 views

Two continuous function $f,g : [0,1] \to \mathbb R$ with $\max_{x\in [0,1]} f = \max_{x\in [0,1]} g$. Prove $\exists c \in [0,1]$ s.t $f(c)=g(c)$.

asked May 6, 2023 at 15:10

1 vote

1 answer

48 views

What is the structure of quotient ring $R/N$ where $N$ is primary ideal?

asked Aug 4 at 18:29

0 votes

0 answers

31 views

Finite product of commutative rings by prime ideals

asked Aug 4 at 19:19

0 votes

0 answers

74 views

Why the ideal $I=(2,1+\sqrt{-5})$ is not principal with respect to any norm

asked May 16 at 20:47

0 votes

1 answer

56 views

Is $K[[X^2,X^3]]$ a local ring where $K$ is field? [closed]

asked Jul 10 at 17:12

0 votes

1 answer

77 views

Is there a way to give a ring structure on symmetric group $S_n$?

asked Jul 30 at 16:46

0 votes

4 answers

358 views

Is a circle a function?

asked Jan 13, 2022 at 11:03

0 votes

1 answer

78 views

Question about Fourier series of derivative of $f$

asked Apr 6, 2023 at 12:37

0 votes

4 answers

423 views

Let function $f=u +iv$ is analytic on $D$ and for some $a,b,c \in \mathbb R$, $a^2+b^2 \neq 0$ and $au+bv=c$ on $D$. Prove that $f$ is constant on $D$

asked Sep 9, 2023 at 16:17

0 votes

1 answer

72 views

Is the Galois group of polynomial invariant under iterating?

asked Mar 19 at 16:18

0 votes

1 answer

82 views

What are the groups containing dihedral group $D_4$ of order $8$? [closed]

asked Mar 21 at 19:26

0 votes

0 answers

53 views

Why do we take finite sums when defining the product of ideals?

asked Mar 24 at 18:11

0 votes

2 answers

101 views

Why surjectivity implies isogeny is a finite map?

asked Apr 14 at 20:15

0 votes

1 answer

75 views

Is it okay to explain Projective line with lines through origin in $\mathbb R^2$?

asked Apr 15 at 20:28

Stack Exchange Network

20 Questions

$\lim\limits_{x\to 0} \dfrac{e^x-e^{x\cos x}}{x+\sin x}$ [duplicate]

What is the norm of an ideal $(2,1+\sqrt{-5})$ in $\mathbb Z[\sqrt{-5}]$?

Can infinite union of finite sets be finite? [duplicate]

Kernel of Function

Does there exist a linear functional $L$ on $l^{\infty}$ such that $L(x)=\lim_{n\to \infty} x_n$?

About Norm of an element $x$ and Norm of an element in its Dual

Two continuous function $f,g : [0,1] \to \mathbb R$ with $\max_{x\in [0,1]} f = \max_{x\in [0,1]} g$. Prove $\exists c \in [0,1]$ s.t $f(c)=g(c)$.

What is the structure of quotient ring $R/N$ where $N$ is primary ideal?

Finite product of commutative rings by prime ideals

Why the ideal $I=(2,1+\sqrt{-5})$ is not principal with respect to any norm

Is $K[[X^2,X^3]]$ a local ring where $K$ is field? [closed]

Is there a way to give a ring structure on symmetric group $S_n$?

Is a circle a function?

Question about Fourier series of derivative of $f$

Let function $f=u +iv$ is analytic on $D$ and for some $a,b,c \in \mathbb R$, $a^2+b^2 \neq 0$ and $au+bv=c$ on $D$. Prove that $f$ is constant on $D$

Is the Galois group of polynomial invariant under iterating?

What are the groups containing dihedral group $D_4$ of order $8$? [closed]

Why do we take finite sums when defining the product of ideals?

Why surjectivity implies isogeny is a finite map?

Is it okay to explain Projective line with lines through origin in $\mathbb R^2$?