some properties of trigonometric functions

... instead of preventing, promotes the aggregation of ADH This is probably a result of the formation of insoluble complexes of Hsp20 and denatured ADH Indeed, as shown in Figs 8E,F, incubation of ADH ... summation of the elution profiles of the isolated 3D mutant of Hsp27 and isolated wild-type Hsp20 is presented on curve Experimental elution profiles of the mixture of the 3D mutant of Hsp27 and ... concentration of 0.25 mgÆmL)1 The mixture was incubated at 40 °C and the reaction started by addition of a water solution of dithiothreitol up to a final concentration of 20 mM Reduction of the disulfide...

Ngày tải lên: 07/03/2014, 15:20

... stages of partial parsing For the purpose of the present paper, we need to mostly be concerned with the level of analysis of core noun phrases and verb phrases By core phrases, we mean the kind of ... data) Properties of Attachments to Try In order to understand how our technique handles the attachments that follow this pattern, it is helpful to consider the properties of this class of attachments ... components Our model of noun groups also includes an extension of the so-called named entities familiar to the information extraction community (Def, 1995) These consist of names of persons and organizations,...

Ngày tải lên: 23/03/2014, 19:20

... Parvatham, R: Properties of a class of functions with bounded boundary rotation Ann Polon Math 31, 311–323 (1975) [3] Noor, KI: On radii of convexity and starlikeness of some classes of analytic functions ... new family of integral operator using famous convolution technique We also apply this newly defined operator for investigating some interesting mapping properties of certain subclasses of analytic ... Malik, B: On some integral operators for certain classes of P-valent functions Int J Math Math Sci 2011, Article ID 783084, 10 (2011) [9] Frasin, BA: Order of convexity and univalency of general...

Ngày tải lên: 20/06/2014, 21:20

... − Au du − Bu uλ/ 1−μ −1 This evidently completes the proof of Theorem 2.1 In view of 1.19 , by similarly applying the method of proof of Theorem 2.1, we get the following result Corollary 2.2 ... 1−μ uλ/ 1−μ −1 du u z −→ −1 2.36 The proof of Theorem 2.4 is evidently completed With the aid of 1.19 , by applying the similar method of the proof of Theorem 2.4, we obtain the following result ... |z| 1.27 In the present paper, we aim at proving some inequality properties and convolution properties of the integral operator Qλ α,β Journal of Inequalities and Applications Main Results Our...

Ngày tải lên: 21/06/2014, 06:20

... space of finite dimension through the rest proofs of this paper The extension of the results to the general case is immediate, depending only on the formula E (X) = sup E (Y ) : Y subspace of X, ... X contains an isometric copy of with < p ≤ If the (p, p ) p p )2/ p and f (X ∗ ) = 2(1 + p )2/ p Clarkson inequality holds, then E (X) = 2(1 + Geometric properties The concepts of uniform convexity ... x − y, we get an equivalent form of Clarkson’s inequality (2.10), that is, x+y p + x−y p 1/ p ≥ 21/ p x p + y p 1/ p (2.12) The rest proof is similar to that of (2.2) The inequality (2.9) is...

Ngày tải lên: 21/06/2014, 22:20

... 2.23 Proof In view of 1.26 and Theorem 2.3, and by similarly applying the method of proof of Theorem 2.2, we conclude that the assertion of Theorem 2.4 holds A Set of Integral-Preserving Properties ... 2.12 of Theorem 2.3 holds α,β By virtue of 1.22 and 2.1 , making use of the similar arguments of the details above, we deduce that MCλ η, δ; φ, ψ ⊂ MCλ α,β α 1,β η, δ; φ, ψ 2.22 The proof of Theorem ... applying the λ similar method of proof of the first part, we get g ≺ φ, that is f ∈ MSα 1,β η; φ Therefore, the second part of Theorem 2.1 also holds The proof of Theorem 2.1 is evidently completed...

Ngày tải lên: 22/06/2014, 02:20

... The proof of Lemma 2.7 is complete q Upper estimate of Bernstein n-width Following some ideas of Buslaev , Tikhomirov , Chen and Li , and Chen , the proofs of our main results are based on some ... Therefore, we obtain p b2n−1 Bp ; L ≤ λn p, p, G The proof of Lemma 3.5 is complete Proof of theorem Now, we consider the proof of Theorem 1.3 Proof By Lemma 3.5, if G is B-kernel, for each p ∈ 1, ... number of zeros of f on a period, counting multiplicities, is denoted by Zc f Clearly, Sc f denotes the number of sign changes of f on a period, and Zc f denotes the number of zeros of f on...

Ngày tải lên: 22/06/2014, 03:20

... Bernstein widths of Sobolev classes of periodic functions, ” Matematicheskie Zametki, vol 58, no 1, pp 139–143, 1995 Russian S I Novikov, “Exact values of widths for some classes of periodic functions, ” ... proof of the theorem 8 Journal of Inequalities and Applications Acknowledgments Project was supported by the Natural Science Foundation of China Grant no 10671019 and Scientific Research Fund of ... recovery of Sobolev classes of functions on a straight line,” Mathematics of the USSR Sbornik, vol 74, no 2, pp 381–403, 1993 A P Buslaev, G G Magaril-Il’yaev, and N T’en Nam, “Exact values of Bernstein...

Ngày tải lên: 22/06/2014, 03:20

... #R45 The multiplicity of zero as an eigenvalue of Xn is n − m If α(λ) is the multiplicity of the eigenvalue λ of Xn , then λα(λ) is a multiple of ϕ(n) ˜ Proof The number of terms in the resulting ... ϕ(m) Proof By the multiplicative properties of the Euler function ϕ(t) divides ϕ(n), if t is a divisor of n [13] Therefore, (9) implies that the nonzero eigenvalues of Xn are divisors of ϕ(n) ... results in a sequence S of length m which consists of all nonzero eigenvalues of Xn such that the number of appearences of an eigenvalue is its multiplicity the electronic journal of combinatorics 14...

Ngày tải lên: 07/08/2014, 15:22

... dependence of the amplitude of vibrations upon the parameter q in the case V = 3eo is presented in Fig The bold lines correspond to the stable regimes of vibrations With the increase of the parameter ... Since / i ( ,yO = ỳ then the zero solution a = fl2 of the system (2 ) is stable if q < Ý 2, q > \' 2, anj unstable if - |/2 < q < ị/ĩ y> ’ Some properties o f the generalized Van der Pol equation ... amplitude a a ị — - q For q2 > the damping of vibrations takes place [1] (Fig 3) Experimental Results The influence of the parameters q and V upon the amplitudes of stationary vibrations has been investigated...

Ngày tải lên: 08/04/2015, 15:33

... Common Logarithms of Trigonometric Functions (offset +10) ➙ 42°➙ TABLE Common Logarithms of Trigonometric Functions (offset +10) 620 TABLE Common Logarithms of Trigonometric Functions (offset +10) ... 55 56 57 58 59 60 TABLE Common Logarithms of Trigonometric Functions (offset +10) ➙ sin 600 4° ➙ TABLE Common Logarithms of Trigonometric Functions (offset +10) 84° 10.21066 21050 21033 21017 ... 58 59 60 Diff 1′ ➙ sin TABLE Common Logarithms of Trigonometric Functions (offset +10) ➙ 38°➙ TABLE Common Logarithms of Trigonometric Functions (offset +10) 50° 617 9.92381 92407 92433 92458...

Ngày tải lên: 09/05/2016, 08:52

... Page of 14 Figure The submatrix of the function HC(k, n, r) that covers one field of real degrees of freedom (k, n Î ℜ) The highlighted are the coordinates of six characteristic real cubical functions ... (k, n ∈ , r ∈ N) (2:1) where r is the half-edge of the hypercube These functions need to be the functions of three variables with two degrees of freedom k and n and the hypercube radius r With ... extreme of the contour HC functions 2.5 Contour graphics of HCs The graphics of the function and their derivatives may be simply obtained by computer analysis Each checking in sense of the analytical...

Ngày tải lên: 20/06/2014, 21:20

... of the logarithms of the concentration ratios for oxidized and reduced forms of the mediator versus that of recombinant avoredoxin Reduction titration of avoredoxin by NAD(P)H The reduction of ... both of which confer reduction of a avin by receiving electrons from NADH or NADPH; however, these activities of avoredoxin were much lower than those of A fulgidus FeR The FeR activity of A ... Figure shows the results of linear regression analysis of the logarithms for the redox ratio of the mediator versus that of recombinant avoredoxin The redox potential of oxidized avoredoxin reduced...

Ngày tải lên: 07/03/2014, 02:20

... SDS/PAGE and MALDITOF MS of the whole protein Both purified and crude samples of recombinant kynureninase can be stored in the absence or presence of PLP for extended periods of time (> 12 months) ... al [19] in vivo, and this raises the possibility of the existence of two isoforms of the enzyme as discussed by Toma et al [8] The pH optimum of 8.25 is consistent with previously reported experimentally ... suspension cultures of 10 L containing a minimal amount of fetal calf serum (1–2%) until 10 mL of growing cells resulted in a confluent layer when placed in a small Petri dish Infection of the Sf9 cells...

Ngày tải lên: 08/03/2014, 22:20

... present A COMPARISION OF GPSG's,TAG's,PFG's,and LFG's WITH RESPECT TO SOME OF THEIR FORMAL PROPERTIES TABLE I lists (i) a set of languages reflecting different patterns of dependencies Chat can ... give some idea of the degree of freedom The language in in TABLE I is the extreme case where the a's, b's,and c's can he any order, as long as the number of a's =the number of b's=the number of ... terminal string of some initial tree and wg,l ~ i ~ m, the terminal string of the [-th auxiliary tree, assuming t h e r e are m auxiliary trees Thus w is a linear combination of the length of the terminal...

Ngày tải lên: 24/03/2014, 01:21

... Parliament The North-west of England data is used with kind permission of Prof C Dowrick, University of Liverpool Page of 11 (page number not for citation purposes) Health and Quality of Life Outcomes ... Anxiety In support of the construct validity of the Chinese version there was a number of expected relationships with gender, age and dental attendance Although this set of results was somewhat gratifying ... ability of this dental anxiety assessment to reflect commonly reported effects, a further confirmation of the measurement properties of the scale was achieved with the derived pattern of parameters...

Ngày tải lên: 18/06/2014, 22:20

... starlike univalent functions, ” Transactions of the American Mathematical Society, vol 135, pp 429–446, 1969 14 R J Libera, Some classes of regular univalent functions, ” Proceedings of the American ... transformation and p-valent functions, ” Transactions of the American Mathematical Society, vol 68, pp 204–223, 1950 M K Aouf, “On a class of p-valent close-to-convex functions of order β and type α,” ... space of analytic functions associated with certain one-parameter families of integral operators,” Journal of Mathematical Analysis and Applications, vol 176, no 1, pp 138–147, 1993 J.-L Liu, “Some...

Ngày tải lên: 21/06/2014, 07:20

... and K I Noor, Some properties of Noor integral operator,” Journal of Natural Geometry, vol 21, no 1-2, pp 81–90, 2002 11 K I Noor, “On new classes of integral operators,” Journal of Natural Geometry, ... inclusion properties of the classes MSλ η; φ , a,c λ η; φ , and MCa,c η; φ associated with the operator Lλ a, c defined by 1.9 Some Journal of Inequalities and Applications invariant properties ... 2.30 Thus the proof of Theorem 2.14 is completed The following results can be obtained by using the same techniques as in the proof of Theorem 2.14 and so we omit the detailed proofs involved Theorem...

Ngày tải lên: 21/06/2014, 20:20

... following, we will investigate some properties of the harmonic mean of the transition probability of nonhomogeneous Markov chains on the tree To First, we give the definition of nonhomogeneous Markov ... predecessor of t Let X A {Xt , t ∈ A}, and let xA be a realization of X A and denote by |A| the number of vertices of A Definition 1.1 Let G {1, 2, , N} and P z | y, x be nonnegative functions ... and Liu have studied a strong law of large numbers for the frequency of occurrence of states for Markov chains field on a homogeneous tree a particular case of tree-indexed Markov chains field...

Ngày tải lên: 22/06/2014, 02:20

... Lemma 2.6 follows from 2.23 – 2.25 and 2.33 – 2.36 Journal of Inequalities and Applications Proofs of Theorems 1.4 and 1.5 Proof of Theorem 1.4 Let G x, y G1 x, y − ln Γ x x2 ∂G x, y /∂x , then ... from Lemma 2.6 The proof of Theorem 1.5 is completed Acknowledgments This research is partly supported by 973 Project of China under grant 2006CB708304, N S Foundation of China under Grant 10771195, ... Taiwanese Journal of Mathematics, vol 7, no 2, pp 239–247, 2003 F Qi and B.-N Guo, “Monotonicity and convexity of ratio between gamma functions to different powers,” Journal of the Indonesian...

Ngày tải lên: 22/06/2014, 02:20