We present the results of a study of surface wave dispersion across the Arctic region (>60◦N) and compare the estimating group velocity maps with new maps of the body wave phases Pn and Sn. Data recorded at about 250 broadband digital stations from several global and regional networks were used to obtain Rayleigh and Love wave group velocity measurements following more than 1100 events with mag...

A set V of nondegenerate convex polygons P in R, or polyhedra P in R, will be called normal if the intersection of any two of the P's of V is a face (in the case of polyhedra), an edge, a vertex, or empty. V is called strongly normal (SN) if it is normal and, for all P, Pi,..., Pn, if each P; intersects P and / = Px f) ... f~l Pn is nonempty, then I intersects P. The union of the Pt€ V that int...

We consider weak convergence of a sequence of asset price models (Sn) to a limiting asset price model S. A typical case for this situation is the convergence of a sequence of binomial models to the Black-Scholes model, as studied by Cox, Ross, and Rubinstein. We put emphasis on two di erent aspects of this convergence: rstly we consider convergence with respect to the given "physical" probabili...

Goal: Describe the image of the cone Sn ≥� of positive semidefinite quadratic forms under the projection πG . Sn ≥�: convex cone of quadratic forms∑i , j ai jxix j such that∑i , j ai jpi p j ≥ � for all (p�, . . . , pn) ∈ Rn. Theorem (Diagonalization ofQuadratic Forms). Aquadratic form q ∈ R[x�, . . . , xn] is positive semidefinite if and only if it is a sum of squares of linear forms after a c...

إ ةيرهجملا جماربلا لمشي اذهو ،ةيرورملا ةآرحلا ةاآاحم جمارب روطت يف مهاس ةيتامولعملا ايجولونكتلا يف ريبكلا مدقتلا ن ) Microscopic ( ، نلا ىلع بلطلا ةاآاحم اًضيأ لمشي نايحلأا ضعب يفو ، تاعطاقتو قرط نم اهيف امب لقنلا ةموظنم ةاآاحمب حمسيل يللآا بساحلا تاقيبطت قاطنو لق . ةيرهجملا ةيرورملا ةآرحلا ةاآاحم جمارب نيب نراقتو عجارت ةقرولا هذهو ) Microscopic ( ةيلومشلاو ) Macroscopic ( فلاتخلاا هجوأ ىلع ةزآر...

Let X1; : : : ;Xn be n independent, symmetric random variables supported on the interval [-1,1] and let Sn = Pn i=1Xi be their sum. We show that the di erential entropy of Sn is maximized when X1; : : : ;Xn 1 are Bernoulli taking on +1 or -1 with equal probability and Xn is uniformly distributed. This entropy maximization problem is due to Shlomo Shamai [1] who also conjectured the solution1.

عوامل متعددی بر روند تاثیرگذاری نگاره های ایران شبه قاره هند در دوران حکومت مغولان موثر بوده است. موضوع این پژوهش بررسی نگارگری دوره با منابع کتابخانه ای و بکارگیری روش توصيفی- تحليلی رویکرد تاریخی، آثار از منظر شیوه پیدایش، ساختار، خصایص صوری تاثیرپذیری هنر ایرانی مورد قرار گرفته ‏است. اساس نتایج پژوهش، عصر مغولان، به گونه چشم گیر معرف نفوذ طور کلی، گرایش هنرمندان مغول هنرهای تصویری ایران‏ قوا...

The Dirac operators Ly = i 1 0 0 −1 dy dx + v(x)y, y = y1 y2 , x ∈ [0, π], with L 2-potentials v(x) = 0 P (x) Q(x) 0 , P,Q ∈ L 2 ([0, π]), considered on [0, π] with periodic, antiperiodic or Dirichlet boundary conditions (bc), have discrete spectra, and the Riesz projections SN = 1 2πi |z|=N− 1 2 (z − L bc) −1 dz, Pn = 1 2πi |z−n|= 1 2 (z − L bc) −1 dz are well-defined for |n| ≥ N if N is suffi...

Mazhar (1971) gave the characterization for the series ∑ an n to be summable |N,pn|whenever ∑ an is summable |C,α|k, α≥ 0, k≥ 1. Here we prove two theorems, the first concerns the sufficient conditions and the second the necessary conditions satisfied by { n } in order to have ∑ an n summable |N̄,pn|k whenever ∑ an is summable |C,α|k, k≥ 1. 2000 Mathematics Subject Classification. Primary 40G. L...

The classical Poisson theorem says that if ξ 1 , ξ 2 , ... are i.i.d. 0– 1 Bernoulli random variables taking on 1 with probability pn ≡ λ/n then the sum Sn = n i=1 ξ i is asymptotically in n Poisson distributed with the parameter λ. It turns out that this result can be extended to sums of the form Sn = n i=1 ξ q 1 (i) · · · ξ q ℓ (i) where now pn ≡ (λ/n) 1/ℓ and 1 ≤ q 1 (i) < · · · < q ℓ (i) ar...