Question

Will $\sqrt{h \sum_{i =0}^{N-1} （1 - u_i^2)^2} < C_1$ imply there exist $C_2$ satisfies $\sqrt{h \sum_{i=0}^{N-1} u_i^2} < C_2$

score 24 · Answer 1 · 2026-03-25 04:43:31

24

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Will $\sqrt{h \sum_{i =0}^{N-1} （1 - u_i^2)^2} < C_1$ imply there exist $C_2$ satisfies $\sqrt{h \sum_{i=0}^{N-1} u_i^2} < C_2$

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38

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58

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93

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311

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70

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score 181 · Answer 15 · 2026-04-12 06:30:46

181

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List Question

Will $\sqrt{h \sum_{i =0}^{N-1} （1 - u_i^2)^2} < C_1$ imply there exist $C_2$ satisfies $\sqrt{h \sum_{i=0}^{N-1} u_i^2} < C_2$

Generalized norm defined in an infinite algebraic lattice

inequality in normed spaces

How to find all planar squares with respect to the taxicab norm or the uniform norm?

Norm with supremum

Bounded Linear Operator from $C_0([0,1])$ to $C([0,1])$

$A > B$ implies $1 > A^{-1} B$ for operators on Hilbert Spaces

A characterization of Hilbert spaces via duality mapping

Solving least squares with QR factorization

Prove that (orthogonal) projections $P_{L_1}x=P_{L_1}(P_{L_2}x)$ for closed subspaces $L_1\subset L_2\subset H $

Under what circumstances does $\lvert \lambda\rvert \lvert \lvert x \rvert \rvert = \lvert \lvert y \rvert \rvert $ imply $\lambda x = y$

Definitions of the operator norm of a matrix

Pythagorean inequality in l1 norm for projection onto simplex

How $N(2\zeta^{2n})=2^{p-1}$?

The operator norm $\|L\|$

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