A note on the four-point property
نویسندگان
چکیده
منابع مشابه
A 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 Properties That Imply the Fixed Point Property
A Banach space X is said to satisfy the weak fixed point property (fpp) if every nonempty weakly compact convex subsetC, and every nonexpansivemapping T : C→ C (i.e., ‖Tx− Ty‖ ≤ ‖x− y‖ for every x, y ∈ C) has a fixed point, that is, there exists x ∈ C such that T(x) = x. Many properties have been shown to imply fpp. The most recent one is the uniform nonsquareness which is proved by Mazcuñán [2...
متن کاملSupermetric Search with the Four-Point Property
Metric indexing research is concerned with the efficient evaluation of queries in metric spaces. In general, a large space of objects is arranged in such a way that, when a further object is presented as a query, those objects most similar to the query can be efficiently found. Most such mechanisms rely upon the triangle inequality property of the metric governing the space. The triangle inequa...
متن کاملA Note on the Ramsey Property
An elementary setting of the classical Ramsey property is given, which leads to simple proofs of the relevant theorems of Galvin-Prikry and Silver.
متن کاملA note on verifying the APN property
We show that for an arbitrary mapping F on F2 to verify that it is APN, it is enough to consider the difference mappings of F defined by elements from an hyperplane.
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: Bulletin of the American Mathematical Society
سال: 1933
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1933-05654-9