intersections of algebraic differential manifolds
Báo cáo toán học: " Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations" docx
Ngày tải lên :
20/06/2014, 20:20
... solutions of algebraic differential equations Acta Math Sci (in press, in Chinese) 17 [11] Gu, RM, Ding, JJ, Yuan, WJ: On the estimate of growth order of solutions of a class of systems of algebraic ... Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Qi Jianming1,3 , Li Yezhou2 and Yuan Wenjun∗3 Department of Mathematics and ... certain algebraic differential equations of higher order In 2009, Yuan et al [9], improved their results and gave a general estimate of order of w(z), which depends on the degrees of coefficients of...
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báo cáo hóa học:" Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations" ppt
Ngày tải lên :
21/06/2014, 17:20
... solutions of algebraic differential equations Acta Math Sci (in press, in Chinese) 17 [11] Gu, RM, Ding, JJ, Yuan, WJ: On the estimate of growth order of solutions of a class of systems of algebraic ... Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Qi Jianming1,3 , Li Yezhou2 and Yuan Wenjun∗3 Department of Mathematics and ... certain algebraic differential equations of higher order In 2009, Yuan et al [9], improved their results and gave a general estimate of order of w(z), which depends on the degrees of coefficients of...
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Tài liệu Integration of Ordinary Differential Equations part 1 doc
Ngày tải lên :
15/12/2013, 04:15
... subject of stiff equations, relevant both to ordinary differential equations and also to partial differential equations (Chapter 19) Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC ... have certain numerical values, or as complicated as a set of nonlinear algebraic equations among the variables Usually, it is the nature of the boundary conditions that determines which numerical ... one “stepsize” ∆x In the limit of making the stepsize very small, a good approximation to the underlying differential equation is achieved Literal implementation of this procedure results in Euler’s...
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Tài liệu Integration of Ordinary Differential Equations part 2 pptx
Ngày tải lên :
15/12/2013, 04:15
... sequence of steps in identical manner Prior behavior of a solution is not used in its propagation This is mathematically proper, since any point along the trajectory of an ordinary differential ... is the routine for carrying out one classical Runge-Kutta step on a set of n differential equations You input the values of the independent variables, and you get out new values which are stepped ... a graph of the function Then all you need may be a simple driver program that goes from an initial xs to a final xf in a specified number of steps To check accuracy, double the number of steps,...
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Tài liệu Integration of Ordinary Differential Equations part 3 doc
Ngày tải lên :
24/12/2013, 12:16
... generally useful stepper routine is this: One of the arguments of the routine will of course be the vector of dependent variables at the beginning of a proposed step Call that y[1 n] Let us require ... steps (see Figure 16.2.1) How much overhead is this, say in terms of the number of evaluations of the right-hand sides? Each of the three separate Runge-Kutta steps in the procedure requires ... y2 (2 steps each of size h) Since the basic method is fourth order, the true solution and the two numerical approximations are related by 716 Chapter 16 Integration of Ordinary Differential Equations...
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Tài liệu Integration of Ordinary Differential Equations part 4 ppt
Ngày tải lên :
24/12/2013, 12:16
... even powers of h, 724 Chapter 16 Integration of Ordinary Differential Equations } CITED REFERENCES AND FURTHER READING: Gear, C.W 1971, Numerical Initial Value Problems in Ordinary Differential ... method does an excellent job of feeling its way through rocky or discontinuous terrain It is also an excellent choice for quick-and-dirty, low-accuracy solution of a set of equations A second warning ... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software Permission...
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Tài liệu Integration of Ordinary Differential Equations part 5 pdf
Ngày tải lên :
24/12/2013, 12:16
... the method a degree of robustness for problems with discontinuities Let us remind you once again that scaling of the variables is often crucial for successful integration of differential equations ... row k of the extrapolation tableau, so Ak+1 is the work to obtain column k We will assume the work is dominated by the cost of evaluating the functions defining the right-hand sides of the differential ... number of n’s to be tried is called KMAXX For reasons described below we usually take this equal to 8; the 8th value of the sequence (16.4.2) is 16, so this is the maximum number of subdivisions of...
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Tài liệu Integration of Ordinary Differential Equations part 6 pdf
Ngày tải lên :
24/12/2013, 12:16
... 16 Integration of Ordinary Differential Equations Note that for compatibility with bsstep the arrays y and d2y are of length 2n for a system of n second-order equations The values of y are stored ... Review, vol 27, pp 505–535 16.6 Stiff Sets of Equations As soon as one deals with more than one first-order differential equation, the possibility of a stiff set of equations arises Stiffness occurs ... neqns=nv/2; Number of equations for (i=1;i
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Tài liệu Integration of Ordinary Differential Equations part 7 pptx
Ngày tải lên :
24/12/2013, 12:16
... classes of higher-order methods for stiff systems: • Generalizations of the Runge-Kutta method, of which the most useful are the Rosenbrock methods The first practical implementation of these ... email to trade@cup.cam.ac.uk (outside North America) x 736 Chapter 16 Integration of Ordinary Differential Equations Of course, we give up accuracy in following the evolution towards equilibrium ... (16.6.13) or If the eigenvalues of C are λ, then the eigenvalues of (1 + Ch)−1 are (1 + λh)−1 , which has magnitude less than one for all h (Recall that all the eigenvalues of a positive definite matrix...
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Tài liệu Integration of Ordinary Differential Equations part 8 pdf
Ngày tải lên :
24/12/2013, 12:16
... number of iterations in advance, then the final value of yn+1 can be written as some complicated function of known quantities Thus fixed iteration PC methods lose the strong stability properties of ... Chapter 16 Integration of Ordinary Differential Equations For multivalue methods the basic data available to the integrator are the first few terms of the Taylor series expansion of the solution at ... The second of the equations in (16.7.9) is 752 Chapter 16 Integration of Ordinary Differential Equations you suspect that your problem is suitable for this treatment, we recommend use of a canned...
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Tài liệu Đề tài " On the complexity of algebraic numbers I. Expansions in integer bases " ppt
Ngày tải lên :
16/02/2014, 06:20
... problem to decide whether every element of Q(β) ∩ (0, 1) has an eventually periodic β-expansion Proofs of Theorems to We begin by a short proof of Theorem Proof of Theorem Let a = (ak )k≥1 be a non-eventually ... transcendental: this is a consequence of deep transcendence results proved in [10] and in [17], concerning the values of theta series at algebraic points The proofs of Theorems to are given in Section ... proof of Theorem 5, we quote a version of the Schmidt Subspace Theorem, as formulated by Evertse [18] We normalize absolute values and heights as follows Let K be an algebraic number field of...
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Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf
Ngày tải lên :
19/02/2014, 22:20
... collection of events, sigma-algebra A filtration E(X) expectation of X E(X | A) conditional expectation of X under A P (A) probability of A P (A | B) probability of A conditioned on B ∈ element of ∈ ... context of derivative pricing The book does not claim to be a complete account of the state of the art of the subject Rather it attempts to provide a systematic framework for an understanding of the ... approximation of continuous solutions of SDEs The discrete time approximation of SDEs with jumps represents the focus of the monograph The reader learns about powerful numerical methods for the solution of...
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Đề tài " Geometric Langlands duality and representations of algebraic groups over commutative rings " pptx
Ngày tải lên :
06/03/2014, 08:21
... fields (of positive characteristic) We not know how to argue the case of fields of positive characteristic directly One of the key technical points of this paper is the construction of certain algebraic ... naturally equivalent We give a proof of this proposition in appendix 14; the proof makes use of results of Section Let us write Aut(O) for the group of automorphisms of the formal disc Spec(O) The ... proof of this theorem we discuss it briefly from the point of view of representation theory We can view the theorem as giving us a ˇ geometric interpretation of representation theory of G First of...
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Báo cáo "On the asymptotic behavior of delay differential equations and its relationship with C0 - semigoup " potx
Ngày tải lên :
22/03/2014, 11:20
... Asymptotic equivalence of systems of differential equations, Results of mathematic science 40 (1985) 245 (Russian) [4] M Svec, Itegral and asymptotic equivelence of two systems of diffrential equations, ... solution x(t) ≡ of Eq.(4) is uniformly stable (2) If limt→∞ T (t) = 0, then the null solution x(t) ≡ of Eq.(4) is uniformly exponential stable Proof Throughout this paper in proof of theorems, we ... / VNU Journal of Science, Mathematics - Physics 23 (2007) 63-69 Main results 2.1 The uniformly stable of null solution of delay differential equations Let us consider the delay differential equations...
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Intersections of Mathematical, Cognitive, and Aesthetic Theories of Mind pptx
Ngày tải lên :
30/03/2014, 16:20
... relations of these emotional contents to aesthetic perception of art; and meaning -of- life judgments versus perception of the beautiful The proposed theory of psychological and cognitive foundations of ... meaningfulness of our existence The beauty of a flower is a perceived possibility of improving ourselves, improving the inner concept models of our purposiveness toward the aim that is hidden from us as of ... clear the fundamental instinctual nature of this mechanism All mathematical algorithms capable of learning (tens of thousands of publications) use some form of this mechanism To satisfy bodily needs,...
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galois theory of linear differential equations - m. van der put, m. singer
Ngày tải lên :
31/03/2014, 15:56
... isomorphism translates into ZL = (ra,b )GL A proof of Lemma 1.29 finishes the proof of the theorem Proof of lemma 1.29 The proof is rather similar to the one of lemma 1.23 The only thing that we have ... field LG of G-invariant elements of L is equal to k Proof An intuitive proof of (1) and (2) L is the field of fractions of R := k[Xi,j , det ]/q, where q is a maximal differential ideal Using 1.26 ... that an algebraic Lie subalgebra of the Lie algebra Mn (C) of GLn (C) is the Lie algebra of an algebraic subgroup of GLn (C) Assume that k is a C1 -field and that the differential Galois group of y...
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the mit press information arts intersections of art science and technology nov 2001
Ngày tải lên :
11/06/2014, 16:32
... Arts: Intersections of Art, Science, and Technology is the first comprehensive international survey of artists working at the frontiers of scientific inquiry and emerging technologies The scope of ... and the arts They are part of the cultural core of our era and must become part of general discourse in a profound way Many artists have begun to engage the world of technological and scientific ... technologists should be zealous to know of artistic experimentation The future will be enriched if this expansion of zones of interest becomes a part of the definition of art and science Scientific and...
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Báo cáo hóa học: " New criteria for stability of neutral differential equations with variable delays by fixed points method" docx
Ngày tải lên :
20/06/2014, 22:20
... results on stability of the zero solution of Equation Then, we generalized the results of the stability to Equation Consider the first-order delay neutral differential equation of the form x (t) ... x(t, s, ψ ) of (1) defined on [s, ∞) Similarly, the solution of (2) can be defined Next, we state some definitions of the stability Definition 2.1 For any ψ C(s) The zero solution of (1) is said ... s, and the zero solution of (8) is stable Thus, the zero solution of (8) is asymptotically stable, and hence the zero solution of (1) is asymptotically stable The proof is complete □ Remark Let...
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