منابع مشابه
Combinatorial Properties of Systems of Sets
A family of sets {A k } is called a strong d system if the intersection of any two of its members is the same, i .e ., if A kI n a = A ka n A ka . It is called a weak d system if I A k= rn A k . 1 is the same for any two sets of our family . J systems have recently been studied in several papers . f (n, r) is the smallest integer for which any family of f (n, r) sets A k , I < k < f (n, r) of s...
متن کاملCombinatorial properties of convex sets Lecture 5 — 23 / 01 / 2015
i=1 αif(vi), where x = ∑d+1 i=1 αivi ∈ ∂X and for i = 1, ..., d+1 αi ≥ 0 and ∑d+1 i=1 α = 1. For every i = 1, ..., d+1, vi ∈ {−ei, ei}. By the Borsuk-Ulam theorem, there exists x ∈ ∂X s.t. f(x) = f(−x). Hence, there exist α1, ..., αd+1, v1, ..., vd+1 s.t. ∑d+1 i=1 αif(vi) = ∑d+1 i=1 αif(−vi). By definition the two simplices conv(f(v1), ..., f(vd+1)) and conv(f(−v1), ..., f(−vd+1)) cover each co...
متن کاملCombinatorial Properties for Families of H-convex Sets
Intersection results for families of H-convex sets in H-spaces are given. These extend known results concerning families of convex sets in topological vector spaces, such as the Berge-Klee intersection theorem and a previous result of the author. MSC 2000. 52A01, 14E20.
متن کاملA convex combinatorial property of compact sets in the plane and its roots in lattice theory
K. Adaricheva and M. Bolat have recently proved that if $,mathcal U_0$ and $,mathcal U_1$ are circles in a triangle with vertices $A_0,A_1,A_2$, then there exist $jin {0,1,2}$ and $kin{0,1}$ such that $,mathcal U_{1-k}$ is included in the convex hull of $,mathcal U_kcup({A_0,A_1, A_2}setminus{A_j})$. One could say disks instead of circles.Here we prove the existence of such a $j$ and $k$ ...
متن کاملcontrol of the optical properties of nanoparticles by laser fields
در این پایان نامه، درهمتنیدگی بین یک سیستم نقطه کوانتومی دوگانه(مولکول نقطه کوانتومی) و میدان مورد مطالعه قرار گرفته است. از آنتروپی ون نیومن به عنوان ابزاری برای بررسی درهمتنیدگی بین اتم و میدان استفاده شده و تاثیر پارامترهای مختلف، نظیر تونل زنی(که توسط تغییر ولتاژ ایجاد می شود)، شدت میدان و نسبت دو گسیل خودبخودی بر رفتار درجه درهمتنیدگی سیستم بررسی شده اشت.با تغییر هر یک از این پارامترها، در...
15 صفحه اولذخیره 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: Israel Journal of Mathematics
سال: 2017
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-017-1520-0