Provided are details for the dissymmetrically-perturbed PIB method (Sections 1.1-1.3, pp S1-S4), nanoparticle structurerelated information (Section 2.1.1, p S-5), the achiral perturbation test case (Section 2.1.2, p. S-5), an example of the distance-dependent CD and effect on chiral image charges by separating the adsorbates from the core (Section 2.1.3, p. S6). In addition we list the Extended...

Assignment: Section 1-1: 1.1, 1.4, 1.8, 1.12 Section 1-2: 2.3, 2.6 Section 1-3: 3.1, 3.2, 3.3, 3.6(b), 3.8 Section 1-1 1.1 Prove ∑n j=0 j 2 = 1 6n(n + 1)(2n + 1) for all natural numbers n. Proof. Let P(n) say ∑n j=0 j 2 = 6n(n + 1)(2n + 1). Then P(n) is a predicate in the variable n. (1) P(0) says ∑0 j=0 j 2 = 6 [0(0 + 1)(2 · 0 + 1)]. This is true since both sides evaluate to 0. (2) Let n ∈ N, ...

chestnut-leaved oak (quercus castaneifolia) is one of the most important industrial species of the northern forests of iran. regeneration of this valuable species is limited due to several problems such us pests and the fungal diseases. in order to isolate and identify the fungi associated with oak seed, sampling was carried out during 2007 in shast-kalate forest at gorgan. collected seeds were...

The k-dimensional skeleton of a d-polytope P is the set of all faces of the polytope of dimension at most k. The 1-skeleton of P is called the graph of P and denoted by G(P ). G(P ) can be regarded as an abstract graph whose vertices are the vertices of P , with two vertices adjacent if they form the endpoints of an edge of P . In this chapter, we will describe results and problems concerning g...

We report the results of an improved Bayesian neural network (BNN) analysis of 0.9 fb−1 of DØ data. The observed excess of events over background has a p-value of 0.081%, assuming the background-only hypothesis, which corresponds to a significance of 3.1 standard deviations for a Gaussian density. The p-value computed using the Standard Model (SM) single top production cross section of 2.9 pb i...

Species belonging to different sections of the genus Polygonum L. were studied micro-morphologically. For this purpose, digital images were obtained from all species and lower taxa belonging to sections Persicaria, Bistorta, Tiniaria and Pleuropterus. Since section Polygonum is much diverse, pollens of three representative species Polygonum luzuloides, P. olivascens and P. setosum were photogra...