báo cáo hóa học:" On approximation of asymmetric separators of the n-cube" doc

... allow approximation of connected symmetric separators of the n-sphere and n-cube. The symmetric separators arise in the context of the Borsuk-Ulam antipodal theorem and a theorem of Dyson for the 2-sphere ... making use of the fact that the symmetric component of f −1 (0) is the separating component, when f is odd. Therefore, if a subcollection of the tri...

Ngày tải lên: 21/06/2014, 17:20

... BQ p J k N −k 0 p ]=p Then the formula of the unique solution is Y k = Q p J k−k 0 p C where C is the solution of the equation (AQ p + BQ p J k N −k 0 p )C = D Other type of boundary conditions Assume that the ... formula of the unique solution is Y k = Q p J k−k 0 p C where C is the solution of the equation [AQ p + BQ p J k−k 0 p ]C = D (24) Proof. Let the boundar...

Ngày tải lên: 20/06/2014, 22:20

... connecting the centers of the boundary layer cells with the origin. To con- struct the boundary layer of the cylinder Ω + ×[0, T], we put M = 10. To calculate the coefficients F k (x j ) of the linear ... view of (2.34), we get the for mula (2.21). To prove the last sentence of the theorem, we use the known fact that the operator Ᏸ maps surjectively the space...

Ngày tải lên: 22/06/2014, 22:20

... bounded subsets of Δ. Theorem 3.1. Let (A 1 )–(A 4 )hold.Then(1.2)hasasolutionon[0,∞). Proof of Theorem 3.1. The proof consists of Steps 1–4. Step 1. In X, we consider the equation x(t) =q(t)+ ... that   G(t,s,x)   ≤ ω 3 (t,s)+ω 4 (t,s)|x|, ∀(t,s) ∈Δ. (4.2) Then, by Theorem 3.1,(1.2) has a solution on (0, ∞). On the other hand, if x is a solution of (1.2)then,asStep 1 o...

Ngày tải lên: 22/06/2014, 22:20

... Foundations of the KKM theory on generalized convex spaces, Journal of Mathematical Analysis and Applications 209 (1997), no. 2, 551–571. [13] G. X Z. Yuan, KKM Theory and Applications in Nonlinear ... (2.8) Proof. Taking μ(x, y) = F 1 (x) − F 2 (y)andΓ A = co A in Theorem 2.1,wegettheproof.  As an application of Theorem 2.2, we obtain the following result of existence of alm...

Ngày tải lên: 22/06/2014, 22:20

... mean, one of the jewels of the classical analysis, connects iteration of means to special functions and integrability of difference equations. Most of the literature related to compounding of means ... lim p→0+ exp  ln   k i =1 λ i x p i  p  = lim p→0+ exp   k i =1 λ i x p i ln   x i   k i =1 λ i x p i  = exp  k  i=1 λ i ln   x i   = k  i=1 x λ i i . (3...

Ngày tải lên: 22/06/2014, 22:20

... approximate rational expressions for the MGF of the Weibull RV based on the knowledge of its moments. We then use these expressions to evaluate the performance of linear digital modulations over flat ... m/2, γ) is the MGF of the SNR per branch,  is a properly chosen constant in the region of convergence in the complex s-plane, and SNR MRC is the total SNR, which...

Ngày tải lên: 22/06/2014, 22:20

... the proof of the first part of Theorem 3.6 is complete. The proof of the second part is similar. Note that the condition c ∈ (1/2, ∞), d ≥ c/(2c −1) of Lemma 2.11 is equivalent to the condition ... distribution, and reproduction in any medium, provided the original work is properly cited. 11 4.2. Proof of Theorem 1.4. The assertion of this theorem is a consequence...

Ngày tải lên: 18/06/2014, 15:20

... long-term chronic condition diagnosed by a health care professional. No chronic condition (n = 2,957) One or more selected chronic conditions 1 (n = 19,475) One or more other chronic conditions 2 ... least one of the chronic conditions that were considered in our study, 8% had a chronic condition other than the ones that were considered in our study, and 13% had no chronic condi-...

Ngày tải lên: 18/06/2014, 22:20

... community concerning the benefit of various types of physical therapies. Evolution of physical rehabilitation Historically, the management of stroke survivors involved bed-rest and convalescence, ... function when compared to no treat- ment or control [4]. Yet importantly, superiority of one type of therapy over another could not be distinguished, and therefore that the spec...

Ngày tải lên: 19/06/2014, 08:20