The Symmetric Traveling Salesman Polytope Sn for a fixed number n of cities is a face of the corresponding Graphical Traveling Salesman Polyhedron Pn. This has been used to study facets of Sn using Pn as a tool. In this paper, we study the operation of “rotating” (or “lifting”) valid inequalities for Sn to obtain a valid inequalities for Pn. As an application, we describe a surprising relations...

We derive sufficient conditions for a family (Sn, ρn,Pn) of metric probability spaces to have the measure concentration property. Specifically, if the sequence {Pn} of probability measures satisfies a strong mixing condition (which we call η-mixing) and the sequence of metrics {ρn} is what we call Ψ-dominated, we show that (Sn, ρn,Pn) is a normal Lévy family. We establish these properties for s...

Let M be a compact surface without boundary, and n≥2. We analyse the quotient group Bn(M)/Γ2(Pn(M)) of braid Bn(M) by commutator subgroup Γ2(Pn(M)) pure Pn(M). If is different from 2-sphere S2, we prove that Bn(M)/Γ2(Pn(M))≅Pn(M)/Γ2(Pn(M))⋊φSn, crystallographic if only orientable. orientable, number results regarding structure Bn(M)/Γ2(Pn(M)). characterise finite-order elements this group, dete...

شور و داوم اه : ،یبرجت همین قیقحت نیا رد 28 نیماتیو ،نیرمت ،لرتنک هورگ راهچ هب یفداصت روط هب و باختنا قاچ رتخد C یبیکرت و دندش میسقت . نیرمت تدش اب يزاوه 50 ات 70 ،رثکادح بلق نابرض دصرد 3 تدم هب و هتفه رد هسلج 8 هتفه دش ماجنا . هورگ ياه نیماتیو C و صرق یبیکرت 500 یلیم نیماتیو یمرگ C ار 3 فرصم هتفه رد راب دندومن . هنومن و لبق اتشان ینوخ ياه 48 هلخادم نیرخآ زا سپ تعاس اه عم...

(1.1) Notation. Let Pn denote the set of all partitions of n ∈ N0. For λ ∈ Pn let l(λ) ∈ N0 be its length, i. e. the number of its non-zero parts λ1 ≥ λ2 ≥ . . . ≥ λl(λ) > 0. Furthermore, let s(λ) := n− l(λ) ∈ N0 be its generalized sign, thus we have sgn(λ) = (−1). We also write λ = [11, . . . , nn], where ai(λ) ∈ N0. Let Sn denote the symmetric group on n ∈ N0 letters. For λ ∈ Pn let Cλ ⊆ Sn d...

Given a continuous map f : Sn−1 → Rm and n − m + 1 points p1, . . . , pn−m+1 ∈ Sn−1, does there exist a rotation % ∈ SO(n) such that f(%(p1)) = . . . = f(%(pn−m+1))? We give a negative answer to this question for m = 1 if n ∈ {61, 63, 65} or n ≥ 67 and for m = 2 if n ≥ 5.

We prove that the following three conditions together imply the concavity of the sequence Pn iˆ0 aibi= Pn iˆ0 ai : concavity of fbng, log-concavity of fang and nonincreasing of f…bn ÿ bnÿ1†=…anÿ1=an ÿ anÿ2=anÿ1†g. As a consequence we get necessary and sufficient conditions for the concavity of the sequences fSnÿ1…x†=Sn…x†g and fSn…x†=Sn…x†g for any nonnegative x, where Sn…x† is the nth partial ...

تاسياقلما فلتخم ىلع ءوضلا ضعب ءاقلإ تم ةعجارلما هذه يف دضتسلماب دضلا تلاعافت ىلع دمتعت يتلا ةموسولما ةيعانلما ةيعانلما و ،ةيقلأتلا ةيعانلما تاسايقلما لمشت يتلاو Ag-Ab هذه فيرعت تم .)EIA, ELISA( ةييمزنلإا ةيعانلما و ،ةيعاعشلا و تلاعافتلا أدبلم رصتخم فصو عم لًاوأ ةثلاثلا تاسياقلما اهروطت حيضوتل يخيراتلا جردتلا بسح تشقون مث ،تاقيبطتلا امك .لماك لكشب ةيلآ ةينقت ىلإ ةياهنلا يف داق يذلا يجيردتلا ةخطلل...

We study in detail the algebra Sn in the title which is an algebra obtained from a polynomial algebra Pn in n variables by adding commuting, left (but not two-sided) inverses of the canonical generators of Pn. The algebra Sn is non-commutative and neither left nor right Noetherian but the set of its ideals satisfies the a.c.c., and the ideals commute. It is proved that the classical Krull dimen...

Address: Department of Gynecology and Obstetrics, Montasariya Infertility Center, Mashhad University of Medical Sciences, Mashhad, Iran Tel: +98 511 8534021 Email: [email protected] همدقم : ناـمز رد نز بارطـضا حطـس لـثم يرـيغتم لـماوع هب هتسباو دناوت يم يروراب كمك نامرد تيقفوم دشاب نامرد . راب نانز بارطضا و يگدرسفا ريثات يبايزرا يارب هعلاطم نيا يروراـب كـمك ناـمرد دمايپ رب رو تسا هدش يحارط ...