Note on a Limit-Point Criterion
نویسندگان
چکیده
منابع مشابه
A note on the realignment criterion
For a quantum state in a bipartite system represented as a density matrix, researchers used the realignment matrix and functions on its singular values to study the separability of the quantum state. We obtain bounds for elementary symmetric functions of singular values of realignment matrices. This answers some open problems proposed by Lupo, Aniello, and Scardicchio. As a consequence, we show...
متن کاملA Note on the Limit of Orbits
Theorem A, stated below, is established in a recent paper by D. W. Hall and the author. Various factors favoring a change in the point of view have enabled the writer to see a simpler proposition which contains Theorem A as a corollary. The purpose of this note is to prove this newer theorem and to point to its implications in the particular case shown by the example at the end. A single valued...
متن کاملA Note on the Four-point Property
x = niabcfghpqr, y = nigh(af) 2 p*, z = mca(bg) 2 q s , w = tnbf{ch) 2 r z , where the parameters m, • • • , r may be restricted by the G.CD. conditions 1 = (o,f) = (b,g) = (c,h), 1 = (afp, bcqr) = (bgq, hfrp) = (chr, agpq). The most immediate application of this is to the solution of # 3 +/(:y> £> «0 = 0> where ƒ (y, z, w) is any ternary cubic factorable into 3 linear, homogeneous factors whos...
متن کاملA note on the geometry of the multiresolution criterion
Several recent developments in nonparametric regression are based on the concept of data approximation: They aim at finding the simplest model that is an adequate approximation to the data. Approximations are regarded as adequate iff the residuals ’look like noise’. This is usually checked with the so-called multiresolution criterion. We show that this criterion is related to a special norm (th...
متن کاملA Note on Principal Point Estimability
We provide elementary geometric arguments to show that the principal point of cameras with small to moderate field of view cannot be reliably estimated from natural, noisy images (the problem is ill-posed). We also show that in robot navigation and other noisy geometric vision applications the exact location of the principal point is irrelevant in practice. In these cases satisfactory metric st...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1973
ISSN: 0002-9939
DOI: 10.2307/2038825