strength prediction equations and their application

... Differential Algebras and Their Applications ∗ (Chapter of “Computational Differen tiation: Techniques, Applications, and Tools”, Martin Berz, Christian Bischof, George Corli ss, and Andreas Griewank, ... Hoffstatter, and W Wan, COSY INFINITY and its applications to nonlinear dynamics, in Computational Differentiation: Techniques, Applications, and Tools, M Berz, C Bischof, G Corliss, and A Griewank, ... Griewank and G F Corliss, eds., Automatic Differentiation of Algorithms: Theory, Implementation, and Application, ... Michigan State University, 5 Remainder Differential Algebras and Applications

Ngày tải lên: 12/01/2014, 22:06

... | T | and |W | represent the cardinal of the sets T and W 118 Recent Advances on Meta-Heuristics and Their Application to Real Scenarios 10 Recent Advances on Meta-Heuristics and Their Application ... Meta-Heuristics and Their Application to Real Scenarios 14 Recent Advances on Meta-Heuristics and Their Application to Real Scenarios Figure Details on the method designed to mix EGT and PSO A Two-Step ... Meta-Heuristics and Their Application to Real Scenarios 16 Recent Advances on Meta-Heuristics and Their Application to Real Scenarios Figure Representation of a possible initialisation of trajectory and

Ngày tải lên: 29/03/2014, 21:20

... differential equations or Hamiltonian systems and their corresponding Riccati differential equations Applications in Sturmian Theory In 1, Sections 5.3 and 5.6 , several Sturmian comparison and separation ... Mathematical Analysis and Applications, vol 325, no 1, pp 333–341, 2007 s ´ 10 O Doˇ ly and W Kratz, “Oscillation theorems for symplectic difference systems,” Journal of Difference Equations and Applications, ... particular, the Riccati equations and inequalities, and the oscillation and Sturmian theorems including multiplicities of focal points for the symmetric three-term recurrence equations T The paper

Ngày tải lên: 21/06/2014, 16:20

... one, and of course for the uplink and the downlink Therefore the formulation explained previously, and the value R p , has to be applied for each service i and each direction (Uplink (UL) and ... Implementation, Application, and Real Cases 5.1 Implementation and Application The proposed algorithms are implemented in a software tool for the strategic design of hybrid 2G and 3G networks ... both with their expertise and funding References [1] T Ojanperă and R Prasad, Wideband CDMA for Third a Generation Mobile Communications, Artech House, Norwood, Mass, USA, 1988 [2] D Hong and S S

Ngày tải lên: 21/06/2014, 23:20

... Quispel, J A G Roberts, and C J Thompson, Integrable mappings and soliton equations II, Physica... 11 [4] J Hietarinta and C Viallet, Singularity confinement and chaos in discrete systems, ... to be assessed for each case at hand. In this paper we will concentrate on two recently discovered discrete Painlev ´ e equations and show that they are one and the same equation. Moreover we ... 1+a   x/  p   q  . (3.3) We now solve (3.2)and(3.3)forx and   x and use (3.1b) in order to obtain an equation involving just y, w  ,and    w:  w   y −1/(pq) w   y/(pq) −1 

Ngày tải lên: 22/06/2014, 22:20

... RESEA R C H Open Access Statistical methods for detecting and comparing periodic data and their application to the nycthemeral rhythm of bodily harm: A population based study ... residuals of d6andd7 against standard normal quantiles (black cross). The gray line joins the first and the third quartile. The absence of large deviations between the black crosses and the gray ... offenders, fire setters, and healthy volunteers. Arch Gen Psychiatry 1994, 51:20-7. 48. Sivarajasingam V, Matthews K, Shepherd J: Price of beer and violence- related injury in England and Wales. Injury

Ngày tải lên: 10/08/2014, 09:20

... of the coefficients of the system (2.1) (i.e., b, h, a, and 3(z) - z) and their derivatives. Therefore using assumptions (H1) and (H4), and noting that supt IZ(k)(t)l <_ sup Is (k)} < ... 1 Here W is an n-dimensional standard Brownian motion, b, a, h and g take values in IRn, ~n• IR and IR, respectively Also, X, Y and Z take values in R~, ~ and IRn, respectively In what ... of (2 .5) and its partial derivatives 8(t,x), Ot(t,x), O~(t,x) and O~(t,x)... C[p[, V(t,x,y,p) E [0, T] • R ~ • R "~ x R m• Now, we see that (2.6) and (2.8) follow from (A1) and (A2);

Ngày tải lên: 10/08/2014, 20:20

... T]) for suitable choice of 5 and Co. Again, we let L be the common Lipschitz constant for b, a, h and g. We will choose 5 and Co so that w Some solvable FBSDEs 153 and (3.25) d(t) + KIc(t)l ... (5.30) and (5.32), we must have (5. 29) Hence,... obtain (5.25) This shows that a strong bridge ~(t) has been constructed with K, 5 and s being given by (5. 19) and (5.28), respectively, and ... implies m _> n and (3.17)' implies m ~ n. Hence, (M) and (M)' overlaps only for the case m = n. We now prove the following. Proposition 3.4. Let T > 0 and F - (b, or, h, g)

Ngày tải lên: 10/08/2014, 20:20

... solving linear equations. There are many generaliza- tions of the ideas of this chapter, and we intend this material as only a brief introduction. 202 5. Nonlinear Equations and Their Solution ... solution with respect to the right hand side. From T (u 1 )=b 1 and T (u 2 )=b 2 , we obtain T (u 1 ) − T (u 2 )=b 1 − b 2 . 206 5. Nonlinear Equations and Their Solution by Iteration Then (T ... For applications to the solution of discretizations of Laplace’s equation and some other elliptic partial differential equations, it is useful to write A = D + L + U, 210 5. Nonlinear Equations and

Ngày tải lên: 16/02/2015, 19:32

... providing trainings and guidance for utilizing the technical facilities. Finally, I am deeply indebted to my parents for their unconditional love and to my husband for his endless support and loving care. ... photovoltaic devices fabrication. She helped and taught me how to fabricate and characterize polymer photovoltaic devices and generously shared tips on the design and conduction of experiments. I would ... goes first and foremost to Assistant Professor Ouyang Jianyong, my supervisor, for his invaluable guidance and encouragement during my candidature. Due to his abundant academic experience and insightful

Ngày tải lên: 10/09/2015, 15:49

... Rylander and A. Bondeson, “Application of stable FEM-FDTD Hybrid to scattering problems”, IEEE Transactions on antennas and propagation, vol.50, no.2, pp. 141-144, February 2002. [10] T. Rylander ... Siew Choo, Ms Guo Lin, Mr. Neo Hong Keem, Mr Jalul and Mr. Chan for their very professional help in fabrication, measurement and other technical, and administrative support. In addition, all my ... overcome these limitations and expand the scope of PSTD’s applications, two novel hybrid pseudo-spectral time domain methods are proposed. They are the hybrid method of PSTD and Time-Domain Finite-Element

Ngày tải lên: 11/09/2015, 09:00

... characterizing dynamic MEMS and their applications in MEMS testing 7 CHAPTER 2 REVIEW OF TECHNOLOGIES FOR CHARACTERIZING DYNAMIC MEMS DEVICES AND THEIR APPLICATIONS 2.1 Introduction ... characterizing dynamic MEMS and their applications in MEMS testing 13 2.3 Optical microscopy and optical stroboscopy techniques Optical microscopy and optical stroboscopy techniques ... imaging and electrical measurements Laser-based techniques and optical methods have proven to be popular Chapter 2 Review of technologies for characterizing dynamic MEMS and their applications

Ngày tải lên: 11/09/2015, 09:58

... special thanks to my parents for their support and encouragement I thank my husband for his love and understanding I also thank my baby for giving me courage and happiness CONTENTS iii Contents ... other members and staff of the department for their help in various ways and providing such a pleasant working environment, especially to Ms Yvonne Chow and Mr Zhang Rong for the advice and assistance ... Bishop, M and Cannings, C (2001) Handbook of Statistical Genetics, John Wiley and Sons, New York Benjamini, Y and Hochberg, Y (1995) Controlling the false discovery rate: a practical and powerful

Ngày tải lên: 11/09/2015, 16:05

... Milan Paris Singapore Tokyo Jin Ma JiongminYong Forward-Backward Stochastic Differential Equations and Their Applications Springer Authors Jin Ma Department of Mathematics Purdue University West ... Bibliothek - CIP-Einheitsaufnahme Ma, Jin: Foreward b a c k w a r d stochastic differential equations and their applications / Jin M a ; J i o n g m i n Yong - B e r l i n , Heidelberg ; N e w York ... differential equations (PDE, for short), in the spirit of the well-known Feynman-Kac formula After this, extensive study of BSDEs was initiated, and potential for its application was found in applied and...

Ngày tải lên: 10/08/2014, 20:20

... suitable sizes, b, a, b and ~ are stochastic processes and g is a random variable We are looking for {gvt}t>0-adapted processes X(.), Y(-) and Z(-), valued in ]Rn, ]Rm and IR~, respectively, satisfying ... o n 3.2 Assume that b, a, h and ~ satisfy (2.6) Assume further that a and ~ are continuous in (t, x, y) uniformly in x, for each w E ~; and that g C C M C~(R~; R m) and is deterministic Suppose ... X, Y taking values in IRn and ]Rm, respectively Then, by Proposition 3.1, we see that for any duration T > and any dimensions n, m, ~ and d for the processes X, Y, Z and the Brownian motion W(t),...

Ngày tải lên: 10/08/2014, 20:20

... for all g C H if and only if (3.17) and (3.19) hold In this case, the adapted solution to (2.12) is unique (for any given g E H) Proof Theorems 3.2 and 3.3 tell us that (3.17) and (3.19) are necessary ... deterministic matrix-valued function and p : [0, T] • ~ + ]Rm is an {Svt)t>_0-adapted process We are going to derive the equations for P(.) and p(-) First of all, from (4.1) and the terminal condition ... hereafter in this chapter that 34 Chapter Linear Equations H = L r ( ~ ; ~ m ) and 7/ L~(0, T;~r~) (which are Hilbert spaces to which the final datum g and the process Z(.) belong, respectively)...

Ngày tải lên: 10/08/2014, 20:20

... L and T, and may change from line to line By (1.24) and (1.15), we obtain (1.25) E[Y~(T)I < EIg(X~(T)) I + ElY,(T) - g(X~(T)) I _< C(1 + Ixl) +E _< C(1 + Ixl) w Dynamic programming method and ... hold Then (i) ~ , ~ ( s , ~, y) and V ~,~(s, x, y) are continuous in (x, y) ~ " • ~ m , uniformly in s C [0, T] and 6, E >_ O; For fixed > and e > O, ~5,~ (s, x, y) and Va'~(s,x,y) are continuous ... similar to that of Proposition 3.1 and the proof of (ii) and (iii) are by now standard, which we omit here for simplicity of presentation (see Yong-Zhou [1] and Fleming-Soner [1], for details)...

Ngày tải lên: 10/08/2014, 20:20

... which are C in x and C in t with H51der continuous v , ~ s and vt of exponent a and a12, respectively Moreover, we have (3.54) IwR(t,x)l < M, (t,x) e [0,~) • BR, and for any Xo C ~ " and T > O, (0 ... between (1.1) and (2.12) holds for adapted strong and weak solutions, respectively On the other hand, from (2.13) we see easily that the group {A, B, a, b, c} satisfies (H)m if and only if {A, ... 8~(x)h < M h Dividing h and letting h + we derive lim~-~oo 8~(x) = Further, note that ~ - a ( x , ~ [ - b ( x , ) S x + h(x)8 - 1] T h e boundedness of 8, 8~, and 8xz~ exists and is continuous expansion...

Ngày tải lên: 10/08/2014, 20:20

... (H),~ if and only if {A,B,~d,b,c} satisfies (H),~, where ~ and b are given by (1.4) Thus, we have the exact statements as Theorems 2.1, 2.2 and 2.3 for BSPDE (1.5) with a and b replaced by ~ and b ... the Gelfand triple V r H = H' ~ +V' We denote the inner product and the induced norm of H by (-, ")0 and [-10, respectively The duality paring between V and V' is denoted by ( , ) , and the ... Gelfand triple H 1(~n) ~+ L 2(~n) ~_+H-1 (IRa) Here, H - I ( I R ~) is the dual space of H l ( ~ n ) , and the embeddings are dense and continuous We denote the duality paring between H (]Rn) and...

Ngày tải lên: 10/08/2014, 20:20

... (2.11) and working on (v,p) for the transformed equations [] Our main comparison result is the following T h e o r e m 6.2 Let (1.6), (2.2) and (H),~ hold for (6.2) and (6.3) Let (f,g) and (f,~) ... condition (2.2) and (H),~ (for some m _> 1) hold for (6.2) and (6.3) Then by Theorem 2.3, for any pairs (f, g) and (f, ~) satisfying (2.14), there exist unique adapted weak solutions (u, q) and (~, ~) ... the case that and ~ are not necessarily smooth enough, we may make approximation [] P r o p o s i t i o n 6.5 Let A, B, -5, b and -~ be independent of x Let f and be convex in x and nonnegative...

Ngày tải lên: 10/08/2014, 20:20