The article deals with the problem of improving shooting evaluating system air gun results in Olympic disciplines. A total 45 competition finals were analysed, which 164 shooters from 35 countries took part. guns disciplines at international competitions such as World, European and Asian Championships, World Cups ISSF Grand Prix among men women individual, mixed pairs team events analysed. Base...

Let G be a group given by the presentation 〈a1, . . . , ak , b1, . . . bk | ai = ui(b̄), bi = vi(ā) for 1 ≤ i ≤ k〉, where k ≥ 2 and where the ui ∈ F (b1, . . . , bk) and wi ∈ F (a1, . . . , ak) are random words. Generically such a group is a small cancellation group and it is clear that (a1, . . . , ak) and (b1, . . . , bk) are generating n-tuples for G. We prove for generic choices of u1, . . ....

Consider the constitutive law for an isotropic elastic solid with the strain-energy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stress-strain relation can then be inverted to give the strain in terms of the stress with a view to considering the incompressible limit. For this purpose, use of the logarithmic strain tensor is of pa...

Let P and Q denote processes. Then • P | Q denotes a process composed of P and Q running in parallel. • a(x).P denotes a process that waits to read a value x from the channel a and then, having received it, behaves like P. • ā〈x〉.P denotes a process that first waits to send the value x along the channel a and then, after x has been accepted by some input process, behaves like P. • (νa)P ensures...

This article provides an explanation for the single and puzzling Tocharian B gloss śaiṣṣe ‘world’ (instead of A ārkiśoṣi) Sanskrit jagat- on a fragment SHT 4438 with all other glosses in A. Based detailed study Chinese texts, ārkiśoṣi is very likely loan translation sā̆bhāloka(dhātu)- ‘a world radiance’, which preserved translations by Kumārajīva translators connected Kucha. In Kucha area, first...

Michael Gronau, 2 Dan Pirjol, Amarjit Soni, and Jure Zupan 6 Physics Department, Technion–Israel Institute of Technology 32000 Haifa, Israel Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94309 Center for Theoretical Physics, Massachusetts Institute for Technology, Cambridge, MA 02139 Physics Department, Brookhaven National Laboratory, Upton, New York 11973 5 Department o...

If X is a Tychonoff space, C(X) its ring of real-valued continuous functions. In this paper, we study non-essential ideals in C(X). Let a be a infinite cardinal, then X is called a-Kasch (resp. ā-Kasch) space if given any ideal (resp. z-ideal) I with gen (I) < a then I is a non-essential ideal. We show that X is an א0-Kasch space if and only if X is an almost P -space and X is an א1-Kasch space...

A linear program is typically specified by a matrix A together with two vectors b and c, where A is an n-by-d matrix, b is an n-vector and c is a d-vector. There are several canonical forms for defining a linear program using (A, b, c). One commonly used canonical form is: max cx s.t. Ax ≤ b and its dual min by s.t A y = c, y ≥ 0. In [Ren95b, Ren95a, Ren94], Renegar defined the condition number...

1.1. Linear Algebra. Let F = R or F = C and let V be a vector space over F. A finite dimensional vector space over R (C) is isomorphic to Rn (Cn) for some n, where Rn = {x = (x1, . . . , xn)} for xi ∈ R and Cn = {z = (z1, . . . , zn)} for zi ∈ Cn. On Rn, the standard Euclidean inner product is given by 〈x, y〉 = ∑ xiyi and the Euclidean norm is given by ||x|| = 〈x, x〉 2 . On Cn the standard Herm...

D. Dobrotă, Department of Engineering and Management of Technological Systems, Engineering Faculty, University “Constantin Brâncuşi” Târgu-Jiu, Romania Using metal construction made of St 52.3 steel is very large and in these conditions an area of interest to use them is represented by the equipments which w ork in diffi cult conditions. Due to the heavy conditions of such w elded structures, a...