... 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 in ... 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 ... is easy to see that d=(m1 , , mk s, M − s + 2, , M )∈ Y and this follows that IS(d) ∪ Y is also a segment Thus, It is clear that IS(d) ∪ X =IS(d) ∪ Y is a segment as required In the case nk s+ 1...
... n,q In this paper we study the weighted q-Bernstein polynomials to express the fermionic q-integral on ℤp and investigate some new identities onthe weighted q-Euler numbers related to the weighted ... polynomials Adv Stud Contemp Math 16, 161–170 (2008) Kim, T: Some identities onthe q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp Russ J Math phys ... http://www.journalofinequalitiesandapplications.com/content/2011/1/64 Author details Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Korea 2Department of Mathematics, Hannam University,...
... their powers with the emphasis laid on indicating classes of matrices were considered by several authors [7-9] The results on matrix partial orderings and reverse order law were considered by ... R(D*) ⊆ R(A*), then A D ≤∗ B D and D A ≤∗ D B Next, we usesome examples to illustrate the above results The case (1) shows that the condition R(C) ⊆ R(A) is sufficient but not necessary For example, ... In the previous section, we study the star ordering of block matrix A similar consequence onthe minus ordering is established as below ¯ ¯ Theorem Let A, C Î Cm×n, and B, D Î Cm×k be minus ordered...
... Acknowledgments The authors express their gratitude to The referees for their valuable suggestions and comments This paper was supported by the research grant of Kwangwoon University in 2010 References T ... we present a systemic study of some families of multiple Carlitz s type q-Bernoulli numbers and polynomials by using the integral equations of p-adic q-integrals on Zp First, we derive some interesting ... Onthe Generalized Higher-Order q-Bernoulli Numbers and Polynomials In this section, we assume that q ∈ Cp with |1 − q|p < We first consider the q-extension of Bernoulli polynomials as follows:...
... be confused by the human labellers, the closer they are in this arrangement The quality of the NMDS result is given in Figure 1; it is assessed using Kruskal s stress function S and the squared ... states 6 EURASIP Journal on Audio, Speech, and Music Processing Table 3: Statistics of the various subsets of the FAU Aibo Emotion Corpus: training onthe balanced subsets of Ohm, testing onthe ... matrices are used in contrast to most systems based on continuous HMMs We use BaumWelch reestimation for training and Viterbi decoding As language model we use back-off bi-grams Table displays the size...
... by Vogt [5] This paper is organized as follows Beside the introduction the paper contains three sections In the second section we recall some backgrounds concerning Lf (α, ∞)-spaces and D3 (f ) ... properties Some results of Apiola in [1] are presented also in this section The third one is devoted to prove some auxiliary results which are used for the proof of Main Theorem The proof of Main Theorem ... Auxiliary Results Proposition 3.1 Let −→ ∞ T (I)⊗Π Lf (α, ∞) −→ E −→ F −→ be an exact sequence of Frechet spaces and continuous linear maps If F ∈ D3 (f ) then the sequence splits Proof Since Lf...
... from the hypothesis there exists < r < such that f is continuous on Bn(0, r) Again by [10] f is holomorphic on Bn(0, r) Hence f is of C ∞-class on Bn(0, r) By shringking r we may assume that f is ... Basic Definitions In this section we recall some notions and fix some notations 2.1 Let D be a domain in Cn and ϕ : D → [−∞, +∞) ϕ is called plurisubharmonic on D if ϕ is upper semi-continuous ... semi-continuous and the restriction of ϕ to the intersection of D with every complex line is subharmonic The cone of plurisubharmonic functions on D is denoted by P SH(D) A set E of Cn is called pluripolar...
... case q = is usually omitted After a brief discussion of the Plotkin bound in Hamming spaces, the paper considers this bound in Lee spaces Hamming Spaces Plotkin [6] introduced his bound in case ... is not determined in all these cases The final theorem gives at least a lower bound on PqL (u) According to Theorem 5, it is sufficent to consider only odd values of q The following convention is ... (ii) Let u = and use (2) If q is even then 3d ≤ qn follows again If q is odd then the stronger condition 6d ≤ (2q − 1)n follows In both cases, an improvement by (1) is impossible (iii) Let u = Inequality...
... randomness The following statement quantifies the above discussion of this randomness versus degree trade-off Claim Suppose that a vertex v becomes large at time t Then there exists a λ′v ∈ [0, 1] such ... fairly simple expressions Below we briefly discuss possible improvements of the analysis that lead to a better bound on q The first improvement comes from observing that the argument we use in the ... Goal II is also satisfied √ Suppose that at the end of some round, the degree of some vertex v in GM √ exceeds ( + ε) n Since every time Maker increased the degree of v in GM from somethe electronic...
... To assess the satisfaction of statisticians onthe quality of statistics dissemination onthe website of the General Statistics Office, the thesis consists of five chapters and is presented as ... role of statisticians as the customers using the service The research will assess the level of satisfaction of statisticians on GSO s services Results of the research will enable GSO to further ... Van Hung Thesis Title:“Evaluation onthe satisfaction of GSO s statisticians onthe quality of data dissemination onthe GSO s website” This is to certify that the thesis submitted by the student...
... a model selection rule satisfying the first goal discussed above can also satisfy this second goal The second contribution of this thesis is the proposal of a method addressing this second goal: ... is in some cases, such as ridge regression and kNN regression/classification, not well defined The first contribution of the thesis is to develop a model selection procedure addressing this first ... improves onthe Lasso in the sense that adaptive shinkages are used for different coefficients We also discuss extensions for ordered and grouped variable selection We then consider a Bayes variational...
... Σ5 = The others can be proved by a similar computation From the result in [23], [Σ5 (¯ u2 )] is an F2 -vector space of dimension 20 with a basis consisting of all the classes represented by the ... + other terms ≡ This relation implies γj = for j The proposition is proved Combining the above results, we get (F2 ⊗A P5 )GL 3. 2s −5 = So, Theorem 1.3 is proved for the case r = 3.2 The case ... for i = 3, The others can be proved by a similar computation Note that dim [Σ5 (u3 )] = 10 with a basis consisting of all the classes represented by the following admissible monomials: a1 = x3...
... contains the set of the images of the edges of W This together with the choice of xs implies that x(W ) = xs (PW ), for each T -join W , and the theorem follows k-cuts In this section we consider the ... G, the cuts of G are in one-to-one correspondence with the eulerian subgraphs of its geometric dual G∗ This correspondence does not hold anymore for graphs embeddable on surfaces of genus greater ... Enumeration We will show now how the duality result proved in the previous section leads to interesting expressions for well-known polynomials studied in combinatorics We start by considering the...
... related to the study with specific instructions The students interest in speaking tasks Students evaluation of the effectiveness of speaking tasks at school Students desire for several types of speaking ... promised to send them the study results through their emails or addresses included in the survey 45 3.2 Type of research This study is a survey research because it used questionnaires to gather ... until the correct answer is found The teacher reveals the answer to only one students; the rest of the class must guess the answer by asking that student questions about the plot that can be answered...
... A s are the notch root stress and strain ranges respectively, Kt is the theoretical stress concentration factor, AS is the net-section nominal stress range, and E is the elastic modulus of the ... cornpanion samples or the incremental step test is used to calculate stress and strain amplitudes, whereas the hysteresis c u v e is used to calculate stress and strain ranges Massing (1926) proposed ... concentration factor? Kt This is expressed as follows: The stress concentration factor, GT the ratio of the notch root stress and the net-section is nominai stress: The strain concentration factor,...
... Acknowledgements The authors express their sincere gratitude to referees for their valuable suggestions and comments This paper was supported by the research grant Kwangwoon University in 2011 ... Then, the sequence Bn,q (f |x) converges uniformly to f on ℤ p (see [8]) If q is same version in (18), we cannot say that the sequence Bn,q (f |x) converges uniformly to f on ℤp Let s Î N with s ... derive some new identities for the twisted q-Bernoulli numbers and polynomials Final purpose of this paper is to give some relations between the twisted Carlitz s q-Bernoulli numbers and q-Bernstein...