Báo cáo toán học: " he Local Theorem for Monotypic Tilings" ppsx

... (that is, locally). In a sense, the new theorem sits between the Local Theorem for Tilings and the so- called Extension Theorem; the latter, in turn, is based on the Local Theorem for Tilings and ... so there can only be a finite number of proper ascents in (2.2). 3 The Local Theorem for Monotypic Tilings The following Local Theorem for Monotypic Tilings is a com...

Ngày tải lên: 07/08/2014, 08:22

... to me whether his Theorem 1 is related to the result treated here. It is also worth mentioning here that the numbers tabulated in [6] are not entirely correct; for n = 10 and m = 4, the correct ... T(m,n) for all m. It is worth remarking that the reciprocity theorem satisfied by the Laurent polynomials M( (m,n)) is a bit more complicated than the reciprocity theorem satisfied by the n...

Ngày tải lên: 07/08/2014, 06:22

... in [14-19] and the references cited therein. For example, in 2003, Chidume et al. [16] introduced the following modified Mann iteration process and got the conver- gence theorems for asymptotically ... technique of the modulus of convexity and a new demiclosed principle for nonself-maps of Kazor [24], we establish the we ak con- vergence theorem of the three-step iterative scheme in a...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:20

... theory.  Applying Theorem 2.4 for the imbedded chain {(Z n ,ρ n ),n ≥ 1} we obtain the following theorem. Theorem 3.2. (Central limit theorem for the imbedded chain) Assume that the following conditions ... Theor em for Functional of Jump Markov Processes 447 with Var (u k |F k−1 )=[E(u ik u jk |F k−1 ),i,j =1, 2, ···,m]. We shall prove the following theorem. Theorem 2.4. (Ce...

Ngày tải lên: 06/08/2014, 05:20

... Z 0 ). Proof repeats the proof of Theorem 5.1 of [7]. We use the induction on the number of parts of I. The statement is obvious for r = 1. Suppose that our statement is true for the composition (i 2 , . ... i r . The invco de is a bijection. Therefore, no two words γ may have the same code. In particular, the first i 1 values will be different if γ runs through the elements of id i 1 ∪σ....

Ngày tải lên: 08/08/2014, 12:22

... among which the hydrophobic one was at the top and the hydrophilic one, at the bottom [10, 11]. These C-PSRFs have been used to manipulate the movement of liquid droplets [10] and local heating ... that was the result of the linear increasing thickness of the optical structure layer and the easier photonic diffraction when the peak wavelength increased. As to the same reason why the FWH...

Ngày tải lên: 20/06/2014, 20:20

... channel. In their study, they prove that the average throughput of the system is maximized when the BS grants access to the user with the highest channel gain. The same results apply to the forward ... evident when comparing the cases where the users perform the full algorithm with the cases where only interference cancelation (“IC only” cases) is used. In the latter case, we remind the reade...

Ngày tải lên: 20/06/2014, 20:20

... 1), where λ j (r) is the j-th eigenvalue of (ϕ r (u ′ (t))) ′ + λϕ r (u(t)) = 0 and u(0) = u(1) = 0. By the aid of this theorem, we can prove the following existence result of solutions. Theorem ... {v ′ n } is uniformly bounded. Therefore, by the Arzela-Ascoli Theorem, {v n } has a uniformly convergent subsequence in C[0, 1]. Without loss of generality, let v n → v. Moreover, using the f...

Ngày tải lên: 20/06/2014, 20:20