Question

Problem about Growing a Linearly Independent Set

score 66 · Answer 1 · 2026-04-08 04:44:37

66

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Problem about Growing a Linearly Independent Set

Published on 08 Apr 2026 - 4:44

score 85 · Answer 2 · 2026-04-17 03:49:30

85

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Example 2.55 on p.42 in section 2C in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok or not?

Published on 17 Apr 2026 - 3:49

score 50 · Answer 3 · 2026-04-11 01:01:07

50

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What is a direct method for finding the supremum of the following inductively defined sequence?

Published on 11 Apr 2026 - 1:01

score 105 · Answer 4 · 2026-04-12 05:02:33

105

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Showing that $k(x)$ is an algebraic extension of $k(a)$.

Published on 12 Apr 2026 - 5:02

score 86 · Answer 5 · 2026-04-12 23:46:45

86

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Is my solution ok or not? Exercise 10 on p.46 in Exercises 2C in "Measure, Integration & Real Analysis" by Sheldon Axler.

Published on 12 Apr 2026 - 23:46

score 58 · Answer 6 · 2026-04-13 19:12:01

58

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Typo in Proposition $1.18$ of Heat Kernels and Dirac Operators?

Published on 13 Apr 2026 - 19:12

score 177 · Answer 7 · 2026-04-16 05:05:33

177

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Show that $f(x) = 2x \ln(x) - x^2$ has a point of inflection at $x=1$

Published on 16 Apr 2026 - 5:05

score 80 · Answer 8 · 2026-04-12 18:40:29

80

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Equilibrium in a tug-of-war game: What's the error in my solution?

Published on 12 Apr 2026 - 18:40

score 78 · Answer 9 · 2026-04-15 01:27:23

Proof: Let $A \in \mathbb{R}^{m \times n}$ a matrix. If $Ax=0$ has infinite solutions then exists $b$ such that $A^Ty=b$ do not have any solutions

score 113 · Answer 10 · 2026-04-17 11:40:50

Let $F_m$ be the $mth$ Fibonacci number given by $F_1=F_2=1$ and $F_{m+2}=F_m+F_{m+1}$ for all $m\geq 1.$ Show that $\sum\binom nk=F_{m+1},$

score 183 · Answer 11 · 2026-04-15 00:09:05

183

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Using the binomial theorem to show that $[n]$ has $2^{n-1}$ odd sized subsets

Published on 15 Apr 2026 - 0:09

score 199 · Answer 12 · 2026-04-12 00:52:09

199

Views

Is my solution ok? Exercise 3 on p.45 in Exercises 2C in "Measure, Integration & Real Analysis" by Sheldon Axler.

Published on 12 Apr 2026 - 0:52

score 45 · Answer 13 · 2026-04-17 06:11:53

45

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Constructing homeomorphism with certain properties

Published on 17 Apr 2026 - 6:11

score 92 · Answer 14 · 2026-04-14 08:41:16

92

Views

Doubt about the validity of a question's answers in MathSE - set of all sets with a given cardinality

Published on 14 Apr 2026 - 8:41

score 45 · Answer 15 · 2026-04-12 10:47:37

45

Views

$C(\overline{\Omega})$ is a closed subspace of $L^\infty(\Omega)$

Published on 12 Apr 2026 - 10:47

List Question

Problem about Growing a Linearly Independent Set

Example 2.55 on p.42 in section 2C in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok or not?

What is a direct method for finding the supremum of the following inductively defined sequence?

Showing that $k(x)$ is an algebraic extension of $k(a)$.

Is my solution ok or not? Exercise 10 on p.46 in Exercises 2C in "Measure, Integration & Real Analysis" by Sheldon Axler.

Typo in Proposition $1.18$ of Heat Kernels and Dirac Operators?

Show that $f(x) = 2x \ln(x) - x^2$ has a point of inflection at $x=1$

Equilibrium in a tug-of-war game: What's the error in my solution?

Proof: Let $A \in \mathbb{R}^{m \times n}$ a matrix. If $Ax=0$ has infinite solutions then exists $b$ such that $A^Ty=b$ do not have any solutions

Let $F_m$ be the $mth$ Fibonacci number given by $F_1=F_2=1$ and $F_{m+2}=F_m+F_{m+1}$ for all $m\geq 1.$ Show that $\sum\binom nk=F_{m+1},$

Using the binomial theorem to show that $[n]$ has $2^{n-1}$ odd sized subsets

Is my solution ok? Exercise 3 on p.45 in Exercises 2C in "Measure, Integration & Real Analysis" by Sheldon Axler.

Constructing homeomorphism with certain properties

Doubt about the validity of a question's answers in MathSE - set of all sets with a given cardinality

$C(\overline{\Omega})$ is a closed subspace of $L^\infty(\Omega)$

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