substitution of simultaneous equations

Ngày tải lên: 22/06/2014, 19:20

Ngày tải lên: 17/12/2013, 15:17

... where 3 is the space of definition of b. The simplicity of the representation (2.8) often belies *the major analytic difficulties that are involved in the practical execution of this step.4 These ... values of j and are reported in James (1964). These can be conveniently expressed in terms of the elementary symmetric functions of the latent roots of S [Constantine (1963)] or in terms of the ... (1969)] it follows that the tails of the distribution of +ZsLs will be thicker than those of +LIMr_. We notice that this feature of the finite sample distributions of the two statistics is consonant...

Ngày tải lên: 25/01/2014, 07:20

... equal to I. The proof of uniqueness is complete. To prove the existence we note, first of all, that it suffices to provide a proof if one of the κ i ’s is equal to ±1 and one of the δ j ’s is equal ... ALEXEI BORODIN Most of the results of the present paper can be carried over to the case of q-difference equations of the form Y (qz)=A(z)Y (z). The q-difference Schlesinger equations are, cf. (3)–(6), (3q) (4q) (5q) (6q) B i ( ... deformations of two types: continuous ones, when x i move in the complex plane and B i = B i (x) form a solution of a sys- tem of partial differential equations called Schlesinger equations, and...

Ngày tải lên: 14/02/2014, 17:20

... mode of oscillation of the rotor of the machine relative to the electrical angular velocity of the electrical system (the infi nite bus in the case of studies made in Chapter 5 ). This mode of ... either of the above-described methods of linearization is employed to (8.2-1)–(8.2-3) , the linear differential equations of an induction machine become 306 ALTERNATIVE FORMS OF MACHINE EQUATIONS frequency ... Asymptotic behavior of all elements of the matrix occurs whenever all of the roots of the characteristic equation of A have negative real parts where the characteristic equation of A is defi ned ...

Ngày tải lên: 16/02/2014, 18:47

... nt sequence of the open reading frame (ORF) of their cDNAs and the corresponding aa sequences, in Table 1. Summary of the purification of DNases I from the pancreases of three species of snake. ... thermally stable characteristics of vertebrate DNases I, substitution of Ile130Leu in snakes and insertion of Ser205 in amphibia. It is interesting that DNases I of warm-blooded vertebrates, such ... Comparison of the three pri- mary structures of deoxyribonuclease isolated from bovine, ovine, and porcine pancreas. Derivation of the amino acid sequence of ovine DNase and revision of the previously...

Ngày tải lên: 20/02/2014, 23:20

... function of the impurity numbers. We note that the presence of an odd number of dopants (1 or 3) already brings the FE to higher values. Instead, the presence of an even, compensated number of B ... that the band-gap of the codoped Si-nc is reduced with respect to the gap of the pure ones showing the possibility of an impurity-based engineering of the optical properties of Si-nc. Here, we ... position 2 of Fig. 11), approaching asymptotically the value of the band-gap of the undoped Si-nw. This is another indication of how doping can modify the electronic and optical properties of the...

Ngày tải lên: 16/03/2014, 15:15

... Growth Relationship Using the Simultaneous Equations JEL Classification: F34, C32, H63 List Of Keywords: Turkey, External Debt, Economic Growth Simultaneous Equations ERDAL KARAGOL UNIVERSITY OF BALIKESIR E ... which is applied to all the equations of the model at the same time and gives estimates of all the parameters simultaneously. It contains the application of the method of least squares in three ... sign. Most of the results conform with the theoretical analysis. Moreover, the total effect of the 3SLS equations model is larger than the corresponding direct effect of reduced form equations. ...

Ngày tải lên: 17/03/2014, 08:20

... hinder substitution. The report includes case studies of substitution to obtain insight into the typical development of a substitution case over time, from the early stages of initial awareness of ... definition of substitution as given in the terms of reference of the service contract: Substitution should be understood as an active choice between and including combinations of chemical ... Figure 10 Assignment of PBT criteria to levels of concern 41 Figure 11 Assignment of “in principle” measures on the basis of level of concern 41 Figure 12 Schematic draw of the Risk Benefit...

Ngày tải lên: 23/03/2014, 08:21

... Containing a Sum of Trigonometric Functions 9.7-4. Equations Whose Kernels Contain Combinations of Various Functions 9.8. Reduction of Volterra Equations of the 2nd Kind to Volterra Equations of the 1st ... Integral Equations of the First Kind 10.1-2. Integral Equations of the First Kind With Weak Singularity 10.1-3. Integral Equations of Convolution Type 10.1-4. Dual Integral Equations of the First ... Fredholm Equations of the Second Kind 11.18-2. Construction of the Eigenfunctions 11.18-3. Specific Features of the Application of Quadrature Formulas 11.19. Systems of Fredholm Integral Equations of...

Ngày tải lên: 31/03/2014, 15:39

... Advances in Difference Equations 2011, 2011:58 http://www.advancesindifferenceequations.com/content/2011/1/58 Page 6 of 12 3 Canonical forms of self-adjoint second-order equations with polynomial coefficients Let ... Advances in Difference Equations 2011, 2011:58 http://www.advancesindifferenceequations.com/content/2011/1/58 Page 3 of 12 RESEARCH Open Access Polynomial solutions of differential equations H Azad * , ... polynomial solutions of a class of linear differential equations of the second order. Bull A M S. 36, 77–84 (1930). doi:10.1090/S0002-9904-1930-04888-0 Azad et al. Advances in Difference Equations 2011,...

Ngày tải lên: 20/06/2014, 22:20

... uniqueness of the solutions are obtained. Keywords: systems of elliptic equations, degenerate elliptic equations, boundary value problems, Dirichlet type problem 1 Introduction and statement of the ... stasys. rutkauskas@mii.vu.lt Institute of Mathematics and Informatics of Vilnius University, Akademijos str. 4, LT-08863, Vilnius, Lithuania Abstract A system of elliptic equations which are irregularly ... 2011:16 http://www.boundaryvalueproblems.com/content/2011/1/16 Page 5 of 11 RESEARC H Open Access On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at...

Ngày tải lên: 21/06/2014, 00:20

... directed to the study of spatial behavi or of solutions of partial differential equations and systems. The history and developmen t of this question is explained in the work of Horgan and Knowles ... Correspondence: tahamtani@shirazu.ac.ir Department of Mathematics, College of Sciences, Shiraz University, Shiraz, 71454, Iran Abstract This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations ... Parana Math. 27(2):23–43 (2009) 19. Ammari, K, Tucsnak, M: Stabilization of second order evolution equations by a class of unbounded feedbacks, ESIM: Control Optim. Calc Var. 6, 361–386 (2001) 20....

Ngày tải lên: 21/06/2014, 00:20

... second example, we will obtain the bound of the solutions of an integral equation. For the sake of proving the global existence of solutions of differential equations, we first recall some basic ... development of the theory of differential and integral equations, a lot of integral inequalities, for example [1-12], have been discovered, which play an important role in the research of boundedness, ... to illustrate the validity of the present integral inequalities. 2 Main results In the rest of the paper we denote the set of real numbers as R,andR + =[0,∞)isa subset of R. Dom(f)andIm(f) denote...

Ngày tải lên: 21/06/2014, 01:20

... in the theory of dynamics equations. Journal of Inequalities and Applications 2011 2011:29. Feng et al. Journal of Inequalities and Applications 2011, 2011:29 http://www.journalofinequalitiesandapplications.com/content/2011/1/29 Page ... dealing with the boundedness of solutions of certa in delay dynamic equations on time scales. Feng et al. Journal of Inequalities and Applications 2011, 2011:29 http://www.journalofinequalitiesandapplications.com/content/2011/1/29 Page ... denotes the set of integers. For two given sets G, H,wedenotethesetofmaps from G to H by (G, H). Feng et al. Journal of Inequalities and Applications 2011, 2011:29 http://www.journalofinequalitiesandapplications.com/content/2011/1/29 ©...

Ngày tải lên: 21/06/2014, 01:20

... study of boundedness, uniqueness, continuous dependence of solutions of certain difference equations. Feng et al. Advances in Difference Equations 2011, 2011:21 http://www.advancesindifferenceequations.com/content/2011/1/21 Page ... Difference Equations 2011, 2011:21 http://www.advancesindifferenceequations.com/content/2011/1/21 Page 3 of 17 where  H ,  f ,  w are defined in (21). Then following in a same manner as the proof of ... the usefulness of the established results by applying them to study the boundedness, uniqueness, and continuous depen- dence on initial data of solutions of certain difference equations. Throughout...

Ngày tải lên: 21/06/2014, 02:20

... to abstract Volterra equations, ” Journal of Evolution Equations, vol. 9, no. 4, pp. 661–674, 2009. 10 B. Jacob and J. R. Partington, “A resolvent test for admissibility of Volterra observation ... subspace of X × L p R  ,X. Thus, Pettis’s theorem shows that M is also reflexive. Hence, in view of Lemma 1.3,wegetb. This completes the proof. Corollary 2.3. Let A be the generator of a C 0 -semigroup ... countable, then Tt is asymptotically almost periodic. 2. Results and Proofs Asymptotic behaviors of solutions to the special case of at ≡ 0 have been studied systematically, see, for example, 3,...

Ngày tải lên: 21/06/2014, 05:20

Ngày tải lên: 21/06/2014, 05:20

Ngày tải lên: 21/06/2014, 11:20

Ngày tải lên: 21/06/2014, 11:20