Mathematics
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akm
  • Member for 3 years, 9 months
  • Last seen more than a month ago
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question
3
Prove that $(\{x\in \mathbb{R}^n\,: ||x||_1=1\}, d_2)$ and $(\{y\in \mathbb{R}^n\,: ||y||_2=1\}, d_2)$ are homeomorphic
May 9, 2020
question
3
Prove that $L_p[0, 1]$ is strictly normed for $1 < p < \infty$
Sep 17, 2020
question
2
Carothers Ch. 8 q. 32: equivalence of $\bigcap_{i=1}^\infty N_i \ne \emptyset$ for all closed/nested $N_i\subset M$ and covering compactness.
May 7, 2020
question
1
Carothers Chapter 4, Exercise 5
Feb 27, 2020
question
1
Show continuity of product metric (Carothers Chapter 5 Exercise 34)
Mar 9, 2020
question
1
Difference between sequential criteria for total boundedness (Carothers Lemma 7.3 and Theorem 7.5)
Mar 28, 2020
question
1
Proving existence of coefficients minimizing $\|y - a_1 x_1 - a_2 x_2 - \ldots - a_n x_n\|$
Sep 12, 2020
question
1
Proving that quotient space is pre-Hilbert and not separable
Jan 17, 2021
question
1
Clarification on Baby Rudin Chapter 2 Exercise 2
Feb 1, 2022
answer
1
Orthogonal vectors and complex numbers
Mar 27, 2020

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