on the problem of the evolution of the vertebrate afferent systems

... | They ask if the L1 -norm of a vector α can be replaced by a function which depends only on k, i.e., if f (α, p) > c(k) log p? ¯ In the note we settle the above problem in the affirmative (Theorem ... p) < ¯ + 3ε log(2k − 1) the electronic journal of combinatorics 14 (2007), #N23 log p + 3 Proof Our construction of a set A is a straightforward generalization of the one presented in [2] Put ... since the cardinality of T is at most l(|A| − 1) + 1, f (α, p) + = |A| ≥ ¯ log p + 1, l log 2k completing the proof of Theorem Since l ≤ k as an immediate consequence of Theorem we get the following...

Ngày tải lên: 07/08/2014, 15:22

... realizations of all lists in the case of primes p ≤ 13 suggests that, roughly, the larger the number of non-zero frequencies of distances and the more uniform their distribution, the larger the number ... necessity of conditions in Theorem 4.1 Note also that in the Conjecture, if J = [1, k] then the above condition will read k i=1 ≥ q − It is not difficult to see that for k = the above conditions reduce ... that the problem is even the electronic journal of combinatorics 16 (2009), #R20 12 more difficult than the original Buratti’s conjecture The following theorem is an extension of Theorem 3.2 Theorem...

Ngày tải lên: 07/08/2014, 21:21

... Foundation of Nanjing University of Information Science and Technology no 20070049 References V I Arnold, “Proof of a theorem of A N Kolmogorov on the preservation of conditionally periodic motions ... 2.30 hold Convergence of the Iteration limj → ∞ Ψj In Now, we prove convergence of the KAM iteration Let Π∗ j≥0 Πj and Ψ the same way as in 4, 13 , we have the convergence Ψj to Ψ on D s/2, r/2 ... On conservation of conditionally periodic motions for a small change in Hamilton’s function,” Doklady Akademii Nauk SSSR, vol 98, pp 527–530, 1954 J Poschel, “A lecture on the classical KAM theorem,”...

Ngày tải lên: 21/06/2014, 11:20

... dimension In Section 3, we prove the maximal sequences, it is used to find the lower local dimension The proof of the Main Theorem will be given in the last section The formula for calculating the ... dimention of the self - similar sets with overlaps,J London Math Soc ( to appear) 11 Le Xuan Son, Pham Quang Trinh and Vu Hong Thanh Local Dimension of Fractal Measure associated with the (0,1,a) -Problem, ... John Wiley & Sons, 1997 K J Falconer, Fractal Geometry, Mathematical Foundations and Applications,John Wiley & Sons, 1993 50Truong Thi Thuy Duong, Le Xuan Son, Pham Quang Trinh, Vu Hong Thanh A...

Ngày tải lên: 13/02/2014, 04:20

... not others Hence, the question of the evolution of aesthetic preference becomes the question of the evolutionary history of those components, their neural bases, and their interaction A consequence ... serve as constraints on) hypotheses about the evolution of art and aesthetic appreciation In this attempt, we will focus most of our attention on the possible evolution of the brain regions that ... implications of these pieces for hypotheses concerning the evolution of aesthetic preference, as if we were laying down some of the side pieces of a jigsaw puzzle without knowing many of details of the...

Ngày tải lên: 19/02/2014, 17:20

... that the segment [d;b] satisfys conditions of corollary 2.2, we now imitate the above proof to finish the corollary Certaintly, the last corollary is a solution for our key questions, in the case ... index from the element in A .The conception about the shadow of a set was used efficiently by many mathematicians as: Sperner, Kruskal, Katona, Clement, ? We shall study here the shadow of segments ... IS(c)} to be the union of two consecutive segments Therefore,it is a segment In the case nk−1 < M − 1, apply the corollary 2.1 ( if nk−1 = M − 2) or the corollary 2.3 (if nk−1 < M − ) to the segment...

Ngày tải lên: 22/03/2014, 11:20

... discusses the results of the consumer testing and the final evolution of the prototype We continue to identify consumer issues ƒ Chapter 12 Conclusion synthesizes findings into meta-themes that ... information, and vague words and phrases In fact, when faced with complex information, they often won’t even bother to read Our evolution of the prototype focused on minimizing burden on the consumer ... the specific sharing practices of their bank and compare them to other institutions Consumers need the context of both the whole and part to understand the critical details Without context, they...

Ngày tải lên: 29/03/2014, 18:20

... English words, their place in the sentence, and the grammatical information given in the dictionary are analyzed with a view to the determination of both the grammatical form of the corresponding Russian ... words and their place in the Russian sentence The resulting information is recorded by means of indices, thereby permitting passage to the second part of the program -"Synthesis of the Russian ... characteristic of the analyzed word In checking, only two answers are possible, either positive or negative Each of these answers admits either a final conclusion and the development of the corresponding...

Ngày tải lên: 30/03/2014, 17:20

... used only in the proof of Step Hence, as in the proof of the previous Theorem 2.4, we now provide only the proof of Step 1, the rest being the same ν At the beginning of the proof, without loss of ... validity of the analogous condition with g > 1, assumed in [11] (see condition (8)) But, on the other hand, taking g > one can lose the summability of the function KC required in assumption (7) of ... Theorem 2.5, by the same proof of Theorem 3.1 Theorem 3.3 Consider F(y) = |y|p-2y, p > 1, and let all the assumptions of Theorem 3.1 be satisfied with the exception of (2.2) and condition (3.5) replaced...

Ngày tải lên: 20/06/2014, 22:20

... (r) ≡ because of the continuity of the function qn1j on (0, R) In such a case, the ˜ n satisfy the equation ln (qn2j ) = For the same ˜ elements of the second row of matrix Q ˜ reason as above, ... |m|≤n The terms r R n (k) m anm Hn (ω) |m|≤n of the series on the right-hand side of (29) are harmonic functions in ∑R Since these series converge uniformly on the sphere SR, they also converge ... in the opposite case The uniqueness of the solutions of both the problems D1 and D2 yields the following lemma Lemma Let v = (v1, v2, , vs) be a solution of problem D1 or problem D2 with the...

Ngày tải lên: 21/06/2014, 00:20

... where C is a constant independent of u and f Proof From the assumptions on the regularities of the coefficients apq and of the function f it follows that the solution (cN (t))N of the system (3.5), ... prove the main theorems of this section Theorem 3.3 Let h be a nonnegative integer Assume that all the coefficients apq together with their derivatives with respect to t are bounded on Q Then there ... basis of Hm(Ω) which is orthonormal in L2(Ω) Put k=1 N uN (x, t) = cN (t)ϕk (x), k k=1 where (cN (t))N are the solution of the system of the following ordinary differential k k=1 equations of second...

Ngày tải lên: 21/06/2014, 00:20

... suggestions and comments The first and second authors were supported financially by the National Natural Science Foundation of China 11071141, 10771117 and the Natural Science Foundation of Shandong ... intervals,” Journal of Mathematical Analysis and Applications, vol 147, no 1, pp 122–133, 1990 20 M Zima, On positive solutions of boundary value problems on the half-line,” Journal of Mathematical Analysis ... unbounded solution of BVP 1.1 Existence and Uniqueness of Positive Solution In this section, we restrict the nonlinearity f ≥ and discuss the existence and uniqueness of positive solution for BVP...

Ngày tải lên: 21/06/2014, 11:20

... present a sufficient condition on the nonexistence of nontrivial solutions of BVP 1.5 Finally, in Section 4, we provide various sets of sufficient conditions on the existence of solutions of BVP 1.5 when ... distinct pairs of nontrivial solutions, where l is the dimension of the space spanned by the eigenvectors corresponding to the positive eigenvalues of M Proof From the proof of Theorem 4.2, it ... nonexistence of solutions of discrete boundary value problems are scarce Hence Theorem 3.1 complements existing ones Existence of Solutions Theorem 3.1 gives a set of sufficient conditions on the nonexistence...

Ngày tải lên: 21/06/2014, 20:20

... approximation even for systems with only a few antennas 5.2 Conclusion From the results we may conclude the following: (1) The decision on the resolution of channel quantization and the amount of resources ... As a consequence, (10) is necessary and sufficient for the existence of the solution The original constraint optimization problem (1) is, therefore, essentially reduced to the unconstrained problem ... practical communication systems For instance, in the process of standardization of future wireless communication systems, the proposed solution may provide valuable input for the discussion about how...

Ngày tải lên: 21/06/2014, 22:20

... not difficult to see that the function u ∈ W2 (DT ,ST ) is the strong generalized solution of problem (2.1)-(2.2) if and only if u is the solution of the functional equation u = L−1 − λ|u| p u + ... remains only to note that by virtue of (3.10), the function u is the solution of (3.12), and according to the unique solvability of that equation, u = v ≥ in the domain DT Thus the proof of Lemma ... ), and F ≥ Then if u ∈ C (DT ) is the classical solution of problem (2.1)-(2.2), then u ≥ in the domain DT ◦ Proof If u ∈ C (DT ) is the classical solution of problem (2.1)-(2.2), then u ∈ C...

Ngày tải lên: 23/06/2014, 00:20

... The function ϕ1 u = (1−ϕ0 )u equals in some neighborhood of the conical point We can apply theorems on the smoothness of solutions of elliptic problems in a 2m+l smooth domain to this function ... For j = we obtain the statement Propostion 2.2 is proved We can now state our theorem on the smoothness of generalized solutions of the problem (2.1) - (2.3) in the whole domain Theorem 2.2 Let ... t ∈ [0, ∞), the function x → u(x, t) belongs to H m (Ω) On the other hand, since the principal coefficients apq are continuous in x ∈ Ω uniformly with respect to t ∈ [0, ∞) and the constant a0 in...

Ngày tải lên: 06/08/2014, 05:20

... Although the contribution of livestock to the GDP of the Luong Son district is not high, it is the main food supply for people here In Luong Son, AI appeared in the years of 2003 and 2004 at 2/3 of the ... prevent the spread dangerous of AI and FMD CONCLUSIONS In Luong Son, Hoa Binh province, the knowledge of livestock holders about disease was still limited All of them contributed to the difficulties ... clinical symptoms 3.6 Behaviors of local people to the outbreak of diseases 115 Investigation of some social factors on the evolution of Avian Influenza (AI) follow up the command to destroy your...

Ngày tải lên: 06/08/2014, 19:20

... based on the quasi-constant rate of molecular evolution, have been extensively used in evolutionary biology to estimate the age of origin of taxa However, the scarcity of fossil data for many taxonomic ... population remains in contact with the surface population, limiting genetic divergence of the two Climatic oscillations cause local extinction of surface populations, whereas surviving populations ... http://jbiol.com/content/9/3/17 evidence of multiple colonization of the subterranean habitat [8] The study of Ribera et al [5] focuses on a monophyletic beetle lineage that is composed primarily of subterranean...

Ngày tải lên: 06/08/2014, 19:21

... conflicts of the problem between target and normal tissue objectives, the structure of the subspace of high curvature around them is universal Together with the universality of the subspace of ... hard constraint for the maximum dose to the target For the target, the objective was to maximize EUD under the given constraints The sum of these constituent objective functions, together with their ... but not diagonal matrix, while the inner second derivative of the objective function with respect to the local dose is diagonal by definition Commonly, the vast majority of eigenvalues of this matrix...

Ngày tải lên: 09/08/2014, 10:21

... the size of the samples in this study does not allow us to draw definitive conclusions regarding this issue Conclusion We failed to demonstrate any advantage of combination therapy over monotherapy ... patients receiving antibiotics, among others If this study failed to demonstrate any advantage of combination therapy over monotherapy, the use of empirical combination therapy remains probably relevant ... al a priori hypothesis is that synergistic action of combination therapy will accelerate the resolution of inflammation Table Modified clinical pulmonary infection score Number of points Temperature...

Ngày tải lên: 12/08/2014, 23:23