Question

The minimum value of $E(\mathbf{w})$ ("Pattern Recognition and Machine Learning" by Christopher M. Bishop)

score 77 · Answer 1 · 2026-04-13 16:49:18

77

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The minimum value of $E(\mathbf{w})$ ("Pattern Recognition and Machine Learning" by Christopher M. Bishop)

Published on 13 Apr 2026 - 16:49

score 92 · Answer 2 · 2026-04-12 03:00:38

92

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Replacing "dense" with "maximal antichain" in definition of M-generic

Published on 12 Apr 2026 - 3:00

score 227 · Answer 3 · 2026-04-14 23:34:29

227

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The limit $\lim\limits_{n\to\infty}\frac{x^n}{n!}$

Published on 14 Apr 2026 - 23:34

score 43 · Answer 4 · 2026-04-13 23:15:17

43

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Basis for the quotient space.

Published on 13 Apr 2026 - 23:15

score 122 · Answer 5 · 2026-04-12 07:49:08

122

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Weak derivative of a step function

Published on 12 Apr 2026 - 7:49

score 37 · Answer 6 · 2026-04-14 15:02:36

37

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$\mathfrak{F}$ contains an even number of subsets of $\Omega$

Published on 14 Apr 2026 - 15:02

score 93 · Answer 7 · 2026-04-14 22:07:15

93

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Dimension of the quotient ring $k[x,y,z]/(xyz,y^2)$

Published on 14 Apr 2026 - 22:07

score 62 · Answer 8 · 2026-04-15 17:50:59

62

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Every open set in a separable space $X$ contains infinitely many points from the countable dense subset of $X$

Published on 15 Apr 2026 - 17:50

score 68 · Answer 9 · 2026-04-16 17:59:50

68

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Let $M$ be a continuous martingale, $r >0$, and $\tau := \inf \{t \ge 0 : \langle M \rangle_t \ge r \}$. Then $M_\tau$ is square-integrable

Published on 16 Apr 2026 - 17:59

score 94 · Answer 10 · 2026-04-16 06:55:32

94

Views

$f$ has countably many fixed points .Yes/No

Published on 16 Apr 2026 - 6:55

score 80 · Answer 11 · 2026-04-14 15:59:39

80

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Soln Verification: the space of bounded sequences converging to 0 is complete with metric $d([x_n],[y_n]) = \sup(|x_{ni}-y_{ni}|)$.

Published on 14 Apr 2026 - 15:59

score 27 · Answer 12 · 2026-04-12 22:25:08

27

Views

Proof verification: Herstein's Abstract Algebra, Problem 28 from Sec 4.5

Published on 12 Apr 2026 - 22:25

score 39 · Answer 13 · 2026-04-16 00:46:59

39

Views

Proving cone(S) = lin(S) ⇔ ∀ x ∈ S : − x ∈ cone(S \ {x})

Published on 16 Apr 2026 - 0:46

score 80 · Answer 14 · 2026-04-14 09:30:58

80

Views

Using Mass distribution principle to provide lower bound for the Hausdorff dimension of Cantor set

Published on 14 Apr 2026 - 9:30

score 72 · Answer 15 · 2026-04-13 03:03:16

72

Views

Does division by 0 really have anything to do with $\lim_{x \to 0} \frac{1}{x}$?

Published on 13 Apr 2026 - 3:03

List Question

The minimum value of $E(\mathbf{w})$ ("Pattern Recognition and Machine Learning" by Christopher M. Bishop)

Replacing "dense" with "maximal antichain" in definition of M-generic

The limit $\lim\limits_{n\to\infty}\frac{x^n}{n!}$

Basis for the quotient space.

Weak derivative of a step function

$\mathfrak{F}$ contains an even number of subsets of $\Omega$

Dimension of the quotient ring $k[x,y,z]/(xyz,y^2)$

Every open set in a separable space $X$ contains infinitely many points from the countable dense subset of $X$

Let $M$ be a continuous martingale, $r >0$, and $\tau := \inf \{t \ge 0 : \langle M \rangle_t \ge r \}$. Then $M_\tau$ is square-integrable

$f$ has countably many fixed points .Yes/No

Soln Verification: the space of bounded sequences converging to 0 is complete with metric $d([x_n],[y_n]) = \sup(|x_{ni}-y_{ni}|)$.

Proof verification: Herstein's Abstract Algebra, Problem 28 from Sec 4.5

Proving cone(S) = lin(S) ⇔ ∀ x ∈ S : − x ∈ cone(S \ {x})

Using Mass distribution principle to provide lower bound for the Hausdorff dimension of Cantor set

Does division by 0 really have anything to do with $\lim_{x \to 0} \frac{1}{x}$?

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