... number s as follows s = min{t : mk−t ≤ M − t} We close this section with the following theorem: 22 4 Tran Huyen, Le Cao Tu / VNU Journal of Science, Mathematics - Physics 23 (20 07) 22 1 -22 4 Theorem 2.2 ... 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 ... 22 2 Tran Huyen, Le Cao Tu / VNU Journal of Science, Mathematics - Physics 23 (20 07) 22 1 -22 4 ∆a = {x ∈ B(n, k−1) : x ≤N a f or some a ∈ A}.Thus the shadow of A contain all the elements a∈A...
... (22 ) Therefore, by (21 ) and (22 ), we obtain the following theorem Theorem Let s Î N with s ≥ For n1, n2, , ns, k Î ℤ+ with n1 + + ns > sk, we have n1 +···+ns −sk (−1)l l=0 n1 + · · · + ns − sk ... http://www.journalofinequalitiesandapplications.com/content /20 11/1/64 Page of By comparing the coefficients onthe both sides of (19) and (20 ), we obtain the following theorem Theorem Let n1, n2, k Î ℤ+ with n1 + n2 >2k Then we ... 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 q-Bernstein polynomials q-Euler numbers...
... 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, ... Press, Beijing (1996) doi:10.1186/1 029 -24 2X -20 11-54 Cite this article as: Liu and Yang: Some results onthe partial orderings of block matrices Journal of Inequalities and Applications 20 11 20 11:54...
... 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 ... Y Simsek, “Remarks on q-Bernoulli numbers associated with Daehee numbers,” Advanced Studies in Contemporary Mathematics, vol 18, no 1, pp 41–48, 20 09 16 Y Simsek, “Generating functions of the ... twisted Bernoulli numbers and polynomials associated with their interpolation functions,” Advanced Studies in Contemporary Mathematics, vol 16, no 2, pp 25 1– 27 8, 20 08 Journal of Inequalities...
... likely the classes are to 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 ... Music Processing Table 3: Statistics of the various subsets of the FAU Aibo Emotion Corpus: training onthe balanced subsets of Ohm, testing onthe unbalanced subsets of Mont Number of chunks Avg ... whereas the positive state Motherese is onthe right side In Section it is shown that the Sammon transformation of the acoustic features (average MFCC features per speaker and emotion) leads to a similar...
... 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 ... Thus (i) is completely proved (ii) It remains to prove the necessity Assume that E ∈ D4 (f ), as in [2] there exists the canonical resolution σ −→ E −→ Ek → k Ek −→ (10) k where Ek denotes the...
... is called plurisubharmonic on D if ϕ is upper semi-continuous and the restriction of ϕ to the intersection of D with every complex line is subharmonic The cone of plurisubharmonic functions on ... are continuous on D2 and fz1 |A2 = fz1 |A2 Onthe other hand, E2 = D2 \ A2 is pluripolar Hence fz1 = fz1 on D2 Thus f = f on D1 × D2 and the proof for the case N = is completed Now we assume ... Beside the introduction, the paper contains three sections In the second one we recall some well-known facts in the pluripotential theory The third section is devoted to present holomorphic graphs...
... imply the condition 3d ≤ qn Theorem shows that inequality (1) cannot improve this condition (ii) Let u = and use (2) If q is even then 3d ≤ qn follows again If q is odd then the stronger condition ... 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 ... 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 used Extending 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 ... needs at most 2 n edges, apart from the at most 2 n edges which Breaker claimed to join u and v to their ≤A -smallest non-neighbors in A By our assumptions on ε and q, Breaker uses at most q...
... 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 ... user is highlighted The thesis will assess the satisfaction of the General Statistics Office s staff on its service Based onthe theoretical basis and practices of data dissemination, I chose the...
... 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: ... in Section 2. 1 and investigated in detail for an important class of regression models in Sections 2.2 and 2. 3 Section 2. 4 discusses the LoRP for model selection in the classification framework Some ... 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...
... (¯ u2 )] 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 ... x1 x 32 x73 + 2 x1 x2 x23 x24 x55 + other terms ≡ This relation implies γ1 = 2 = 0, hence h = The proposition is proved From Propositions 3 .2. 1, 3 .2. 2 and 3 .2. 5, we get (F2 ⊗A P5 )GL 2s+ 2 −5 ... a basis consisting of all the classes represented by the following admissible monomials: a1 = x3 x24 x45 , a2 = x2 x24 x45 , a3 = x2 x23 x45 , a4 = x2 x23 x44 , a5 = x1 x24 x45 , a6 = x1 x23 x45...
... directions according to a map 2.2 .2. 6 .2 Guessing games Students can guessing activities in pairs or groups There are many variations For example, one student chooses a famous person, and the others ... 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 ... 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...
... 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 (1 926 ) proposed ... discussed in Sections 2. 6 .2 and 2. 6.3 2. 6 .2 Notch Stress-Sfrain Estimation The cornparison of the fatigue damage at the notch of a component and in the smooth specimen used to generate the test ... messes Deviatoric stress, i = 1 ,2, 3 (Equation 2- 19) Fatigue strength coefficient (Equation 2- 9) Principal stresses Hydrostatic stress tensor Stress tensor Deviatoric stress tensor Prefixes: A...
... 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 20 11 Author ... polynomials Russ J Math Phys 18, 133–143 (20 11) doi:10.1134 /S1 061 920 811 020 014 doi:10.1186/1 029 -24 2X -20 11- 52 Cite this article as: Jang et al.: Some new identities onthe twisted carlitz s q-bernoulli ... integration Russ J Math Phys 9, 28 8 29 9 (20 02) 10 Kim, T, Choi, J, Kim, Y-H: Some identities onthe q-Bernstein polynomials, q-Stirling numbers and q-Bernoulli numbers Adv Stud Contemp Math 20 , 335–341...
... Thematic analysis using a realist method was used to generate themes onthe acceptance and use of mRDTs among respondents This process started with the manual transcription of all the qualitative ... willingness to test and re-test with mRDTs; belief in the test result; and the HWs decisions on healthcare, following a blood test for malaria Discussions with interviewees were guided by questions seeking ... weeks, supervision occurred at two-week intervals Subsequently, supervision took place once a month A pre-designed mRDT supervision checklist was used alongside the national routine technical supervision...