... behalf of his principal;2. To indicate that a person shares some of the characteristics of a class of persons;3. To indicate that a person symbolizes the identity or qualities of a class of persons.Starting ... (2000) makes a similar type of argument, but spends more time diagnosing the ailment than recommending a course of treatment.Deliberating in the Real World Problemsof Legitimacy in Deliberative ... results of a micro-deliberativeprocess recommending one course of action, and a petition of 150,000 signatories demanding another.The question of methods of choice is bound up with the question of...
... Advances in Difference Equations 2011, 2011:58http://www.advancesindifferenceequations.com/content/2011/1/58Page 3 of 12RESEARCH Open AccessPolynomial solutions ofdifferential equations H Azad*, ... polynomial solutions of a class of linear differentialequationsof the second order. Bull A M S. 36,77–84 (1930). doi:10.1090/S0002-9904-1930-04888-0Azad et al. Advances in Difference Equations 2011, ... Advances in Difference Equations 2011, 2011:58http://www.advancesindifferenceequations.com/content/2011/1/58Page 6 of 123 Canonical forms of self-adjoint second-order equations with polynomialcoefficientsLet...
... solu-tions of a delay differential equation, while in the second example, we will obtain thebound of the solutions of an integral equation.For the sake of proving the global existence of solutions of ... t)ds]}}1p−q,(2)Zheng and Feng Journal of Inequalities and Applications 2011, 2011:20http://www.journalofinequalitiesandapplications.com/content/2011/1/20Page 3 of 15uniqueness of solutions cannot be guaranteed. ... the solutions of (46) are global.Zheng and Feng Journal of Inequalities and Applications 2011, 2011:20http://www.journalofinequalitiesandapplications.com/content/2011/1/20Page 13 of 15Sod(t...
... literature.Transformation of Differential Equations into Phase Space 1771−8 −6 −4 −20 2 4 6 8 10t (s)−2−1.5−1−0.500.511.52×10−3x(t)Figure 1: Solution of (6), real part of x(t). The parameters ... CorporationNonlinear Transformation of Differential Equations into Phase SpaceLeon CohenDepartment of Physics and Astronomy, Hunter College, City University of New York, 695 Park Avenue, New ... (s)−0.015−0.01−0.00500.0050.010.015x(t)Figure 7: Solution of (6), real part of x(t), for a sinusoidal fre-quency modulated forcing term: f (t) = A exp[iα sinω2t].seventy years in the field of time-frequency analysis in...
... 17), the rate of MACE ranged from 3.1%,to 12.8%, at the end of the two-year period. In our trial, however, the incidence of MACE in the ZES treated group was 10% at the end of the two year ... long-term safety of DESs remains in question (10-11). Despite the results of meta-analyses of randomized studies refuting these concerns (12), late stent throm-bosis remains a limitation of DES technology. ... kinetics. The longer-term outcomes of Turkish patients treated with ZES versus PES in realworld practice are not well reported. Furthermore, with the advent of new DES systems, it is important...
... Integration of Ordinary Differential Equations 16.0 Introduction Problems involving ordinary differentialequations (ODEs) can always bereduced to the study of sets of first-order differential equations. ... auxiliary variables.The generic problem in ordinary differentialequations is thus reduced to thestudy of a set of N coupled first-order differentialequations for the functionsyi,i=1,2, ,N, having ... 708Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright...
... 710Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright ... 1973,Computational Methods in Ordinary Differential Equations (New York: Wiley).Lapidus, L., and Seinfeld, J. 1971,Numerical Solution of Ordinary Differential Equations (NewYork: Academic Press).16.1 ... below).Consider, however, the use of a step like (16.1.1) to take a “trial” step to themidpoint of the interval. Then use the value of both x and y at that midpointto compute the real step across the...
... securi-ties trades.14THE REALWORLDOF FINANCE22THE REALWORLDOF FINANCEbusiness segments. Before we discuss whether there is a betterway, let’s focus on inherent problems with ledger accounting.MANAGED ... of Corporations, 5th ed., by Arthur S.Dewing (New York: Ronald Press Co., 1953).■Rosemary Loffredo, assistant treasurer of InternationalPaper, who was my copresenter of an early version of ... range of experience. Results lying outside of the interquartile range were considered as unacceptable andworthy of corrective action. For example, a current ratio of lessthan 1.0 was often...
... generally useful stepperroutine 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].Letus require ... 1971,Numerical Initial Value Problems in Ordinary Differential Equations (EnglewoodCliffs, NJ: Prentice-Hall). [1]Cash, J.R., and Karp, A.H. 1990,ACM Transactions on Mathematical Software, vol. 16, ... ,n−1y(x+H)≈yn≡12[zn+zn−1+hf(x + H, zn)](16.3.2)714Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright...