... classicalgroups of unbounded degree in which every nonidentity element has unbounded(natural) degree. The attendant stretching of elements and groups can be putto good use; see [30].PERIODIC SIMPLE GROUPS ... G,the degrees of g in S are the degrees degQigNi, for those i ∈ I with g ∈ Gi.(2.11) Corollary ([13, Th. (3.3)]). A locally finite simple group G thathas a sectional cover in which the degrees ... sectional cover S the degree of every element g =1is unbounded. Inparticular, the degrees of S are unbounded.From the point of view of classification theory for locally finite simple groups, the...
... state the de nition of vertical and horizontal derivatives forsemibasic tensor fields. We recommend Chapter 3 of [Sh] for more details.Let Trs(M) denote the bundle of tensor fields of degree ... distancerigid; that is, dgdetermines g uniquely up to an isometry which is the identityon the boundary. This is known for simple subspaces of Euclidean space (see[Gr]), simple subspaces of an ... geodesic γ(x, ξ, t), (x, ξ) ∈Ω(˙N) intersects the boundary ∂N transversally. Then the map φ, de ned by(4.1) is a fold with fold ∂0Ω(M).First we recall the de nition of a Whitney fold. De nition...
... The type of a simple closed geodesic γ isdetermined by the topology of Sg,n(γ), the surface that we get by cutting Sg,nalong γ. We fix a simple closed geodesic γ on X and consider more generallythe ... geodesic laminationis a geodesic lamination that carries a transverse invariant measure. Namely,a compactly supported measured geodesic lamination λ ∈MLg,nconsists of a SIMPLE CLOSED GEODESICS ... number c(γ)isindependent of the metric (§6).The frequency c(γ) ∈ Q of a given simple closed curve can be described ina purely topological way as follows ([Mirz1]). For any connected simple closedcurve...
... G called the normalizer of S in G.• ‘Ideal’ means ‘two-sided ideal’. Simple algebra’ means algebra witha nonzero multiplication and without proper ideals. ‘Algebraic group’ means‘linear algebraic ... SL(U)-module de nedover k and let L be a nonzero trivial SL(U )-module de ned over k. Then(i) T(U )+contains a submodule de ned over k and k-isomorphic to M;1046 NIKOLAI L. GORDEEV AND VLADIMIR ... DIMENSIONAL SIMPLE ALGEBRAS 1063 de ned over k.Now we remark that, according to what is already proved, as Nis a submodule of T(U )+ de ned over k, there is an injection N⊕m→ T(U)+ de ned over...
... of two determinants,χλ(x)=|xai+r−ij||xr−ij|=SλD,where Sλdenotes the determinant appearing in the numerator and D thestandard Vandermonde determinant appearing in the denominator. ... zi. For any index i, letE(i)={j | λj= λi}.To show the linear independence, we have to show that for any index i,wehavej∈E(i)zj=0.Dividing bynl=1Sλlon both sides and equating, ... characters can be expanded asVandermonde determinants and we have,Sµ=i<j(xa+1i− xa+1j)and Sλ=i<j(xb+1i− xb+1j).Thus we see that Sµdivides Sλif (a +1)|(b +...
... ηx(t); η0(0)ρdenote the time dependent correlation functions in equilibrium with density ρ.The compressibilityχ = χ(ρ)=xηx; η0ρ=xSρ(x, t)is time independent and χ(ρ)=ρ(1 ... thesystem. The simplicity of the model has made it the default stochastic modelfor transport phenomena. Furthermore, it is also a basic component for models[5], [12] with incompressible Navier-Stokes ... the hard core conditionDenote by C = C(ρ) the space of νρ-mean-zero-cylinder functions. For afinite subset Λ of Zd, denote by ξΛthe mean zero cylinder function de ned byξΛ=x∈Λξx,ξx=ηx−...
... generally needed to provide ergodic actions.In the work of [Joh] one can find a complete characterization of the semisimple946 RAUL QUIROGA-BARRANCOThe following result can be considered as an ... satisfied and such result implies that H is semisimple, and so L = G × His semisimple as well.In what follows, for every connected semisimple Lie group F we denotewith Fisthe minimal connected closed ... transforms the curvature and its covariant derivatives (up to a fixedorder) at x into those at y. Under our assumptions, this condition is satisfiedonly on a dense subset S of X. However, for an arbitrary...
... ApplicationsVolume 2011, Article ID 592840, 9 pagesdoi:10.1155/2011/592840Research Article Some New Double Sequence Spaces De ned byOrlicz Function in n-Normed SpaceEkrem Savas¸Department of Mathematics, ... ·, · denotes inner product. Let X, ·, ,· be an n-normed space of dimension d ≥n and {a1,a2, ,an} a linearly independent set in X. Then, the function ·, ·∞on Xn−1is de ned byx1,x2, ... coordinate vectors is bounded,” Canadian Journalof Mathematics. Journal Canadien de Math´ematiques, vol. 25, pp. 973–978, 1973.14 I. J. Maddox, “Sequence spaces de ned by a modulus,” Mathematical...
... σ2N,(1)where σ2Nis the variance of the thermal noise (independentof k and n): a constant noise power spectral density equal to−140 dBm/Hz will be considered in the numerical examplesthroughout the ... in Signal ProcessingVolume 2010, Article ID 454871, 14 pagesdoi:10.1155/2010/454871Research Article Simple Statistical Analysis of the Impact of Some Nonidealities inDownstream VDSL with ... implementation [12]. However, simple analyticalexpressions would be very useful for design engineers tohave a first idea of the achievable performance and correctlyaddress the design without resorting...
... everysimplex of Knis mapped onto some simplex of Lm.For a simplex S {p0, ,pn}∈Knby ∂S : {{p0, ,pi, ,pn} : i ∈ In}⊂Knwe denote the boundary of a simplex S and denotation ... Knbe an i-simplex of a complex Kn. Then the i-simplex S is a single i-simplex if there exists exactly one i 1-simplex T ∈ Knsuch that S ⊂ T, i ∈ In−1; compare4, De nition 2.60 ... called an n-simplex de ned on the set V , and a nonempty familyKn⊂ PnV of n-simplices de ned on V is called an n-complex de ned on the set V .A complex generated by an n-simplex S is...
... 1–9, Philadelphia, Pa, USA,2001.[10] D. R. Stinson, “Universal hashing and authentication codes,”Designs, Codes and Cryptography, vol. 4, no. 3, pp. 369–380,1994.[11] H. L. Van Trees, Detection, ... block-by-block transformations. The key ideais the translation of the statistical dependence between thevectors of the same user into the statistical dependencebetween passwords assigned to the ... has tomake only the rejection decision for the vectors bthat de nitely cannot be considered as corrupted versions of theoriginal biometrical vector. The final decision for the vectorsthat...
... pagesdoi:10.1155/2010/897279Research Article On The Frobenius Condition Number ofPositive De nite MatricesRamazan T¨urkmen and Z¨ubeyde Uluk¨okDepartment of Mathematics, Science Faculty, ... bounds for the Frobenius condition number of a positive de nite matrixdepending on trace, determinant, and Frobenius norm of a positive de nite matrix and comparethese results with other results. ... positive de nite matrices by consideringinequalities given for inner product space in this section.2. Main ResultsTheorem 2.1. Let A be positive de nite real matrix. Then2tr Adet A1/n−...
... ApplicationsVolume 2009, Article ID 807943, 12 pagesdoi:10.1155/2009/807943Research Article Univalence of Certain Linear Operators De ned byHypergeometric FunctionR. Aghalary and A. EbadianDepartment ... This is an open access article distributed underthe Creative Commons Attribution License, which permits unrestricted use, distribution, andreproduction in any medium, provided the original work ... functions is denoted by S∗: S∗0. For α<1, we de neS∗αf ∈A:Rezfzfz>α,z∈ D, 1.2and it is called the class of all starlike functions of order α. Clearly,...
... PRN code rateis higher than data symbol rate which divides the energy ofa data symbol to a wider bandwidth. The used PRN codesare unique to each transmitter and thus transmitter can beidentified ... during the following decade[4]. The GPS modernization program [5] introduces addi-tional signals with new codes and modulation. Realiza-tion of the new navigation s ystems and modernization ofGPS ... “International system providers meeting (ICG-3) reflects GNSS’s competing interest, cooperative objectives,”Inside GNSS, December 2008.[5] U. S. Airforce, “GPS Modernization Fact Sheet,” 2006,http://pnt.gov/public/docs/2006/modernization.pdf.[6]...
... and ApplicationsVolume 2008, Article ID 280183, 5 pagesdoi:10.1155/2008/280183Research Article The Radius of Starlikeness of the CertainClassesofp-ValentFunctionsDefinedbyMultiplier TransformationsMugur ... This is an open access article distributed under the CreativeCommons Attribution License, which permits unrestricted use, distribution, and reproduction inany medium, provided the original work ... Golusin, Geometrische Funktionentheorie,vol.31ofHochschulb¨ucher f¨ur Mathematik,VEBDeutscherVerlag der Wissenschaften, Berlin, Germany, 1957.2 Journal of Inequalities and ApplicationsIf...