answers to questions and problems

... Rosen, Handbook of Discrete and Combinatorial Mathematics, CRC Press, Boca Raton, FL, 2000 10 J ORourke and J E Goodman, Handbook of Discrete and Computational Geometry, CRC Press, Boca Raton, FL, ... Synge and A Schild, Tensor Calculus, University of Toronto Press, Toronto, 1949 D Zwillinger, Handbook of Differential Equations, 3rd ed., Academic Press, New York, 1997 10 D Zwillinger, Handbook ... 237247, 1990 Military Standard 105 D, U.S Government Printing Of ce, Washington, D.C., 1963 S K Park and K W Miller, Random number generators: good ones are hard to nd, Comm ACM, October 1988, 31, 10,...

Ngày tải lên: 31/03/2014, 16:28

... processing, problems in geophysics, problems in electricity and magnetism, hereditary phenomena in physics and biology, problems in population growth and industrial replacement, radiation problems, ... replacement, radiation problems, optimization, and automatic control systems, communication theory, stochastic problems, and mathematical economics and financial phenomena Professor Magin in his ... dynamics and solutions is a task to be fulfilled On the other hand, it is an open issue to analyze the relation of the different fractionalizations at the discrete and the continuous levels iii The standard...

Ngày tải lên: 21/06/2014, 05:20

... the Black-Scholes formula Wealth of an investor An investor begins with nonrandom initial wealth X0 and at each time t, holds
t shares of stock Stock is modelled by a geometric Brownian motion: ... vx , and we are seeking to cause X to agree with v Making these substitutions, we obtain vt + Svx + 2S 2vxx = rv + vx  , rS; (where v = v t; S t and S = S t) which simplifies to vt ... Formula o 171
t can be random, but must be adapted lending at interest rate r The investor finances his investing by borrowing or Let X t denote the wealth of the investor at time t Then dX t...

Ngày tải lên: 18/10/2013, 03:20

Ngày tải lên: 14/03/2014, 19:33

... (1.2) and (1.1), namely d + instead of d + 1, is discussed in Remarks 2.5 and 4.10 We believe that a result similar to Theorem 2.3 holds for the continuous Anderson Hamiltonian, which is a random ... Energy EF —see Definition 3.3 and Theorem 3.4 It is customary to decompose σEF (η, ν) into its real and imaginary parts: (2.10) in σEF (η, ν) := Re σEF (η, ν) out and σEF (η, ν) := Im σEF (η, ... dcconductivity is known to exist and to be equal to zero for the Anderson model in the region of complete localization [N, Th 1.1], [BoGKS, Cor 5.12] Linear response theory and the conductivity...

Ngày tải lên: 15/03/2014, 09:20

... tabs/month and 72 per year 15.C Male Hormones TIER TIER testosterone cypionate PAR Androderm® PAR except Endocrinology and Urology, Restricted to male patients only Androgel® PAR except endocrinology and ... 27 ketoconazole 2% shampoo 12 ketoconazole cream 12 ketoconazole tabs 17 33 ketoprofen 23 ketorolac 23 ketorolac tromethamine ophth soln 0.4% and ... urology, restricted to male patients Android® + Androxy® + Methitest® + Striant® PAR except Endocrinology and Urology Testim® PAR except Endocrinology and Urology Limited to males only Testred®...

Ngày tải lên: 16/03/2014, 05:20

Ngày tải lên: 17/03/2014, 13:45

... to make midwifery services more widely available by training midwives and posting them to villages throughout Indonesia (Handayani et al 1997; Kosen and Gunawan 1996; MOH 1994) Between 1990 and ... diarrheal and respiratory diseases and thus may limit the weight loss associated with such illnesses Because of the midwife’s years of health training and her ability to offer an array of curative and ... supervision of posyandus (neighborhood health posts), within the villages and townships in their catchment area The posyandu is held monthly and is attended by children under five and their mothers...

Ngày tải lên: 28/03/2014, 12:20

... needs to be studied to understand CQ and its implications for all of us Faculty, students, and industry leaders from many countries are working together to learn how CQ can best be applied To date, ... research was examined to understand its relevance to the intercultural work and relationships It’s important to understand what they were looking at here as it relates to intelligence When you ... way to talk about a particular topic, but many have little, if any, connection to the technical definition of intelligence—mental, motivational, and behavioral capabilities to understand and...

Ngày tải lên: 30/03/2014, 18:20

... literature, and the results are not always presented in such form as to be suited to the requirements of the engineer To bring together as much of this material as is likely to prove generally useful and ... multiplication factors for conversions from SI to USCU are simply the reciprocals of the given multiplication factors TABLE 1.3 Multiplication factors to convert from USCU units to SI units To convert ... Stress & Strain It is an honor and quite gratifying to correspond with the many individuals who call attention to errors and= or convey useful and practical suggestions to incorporate in future editions...

Ngày tải lên: 08/04/2014, 11:25

... vegetable can be used There is no cleaning waste and little shrinkage SWEET GRAPE BABY TOMATOES SWEET GRAPE BABY TOMATOES Very tiny red and yellow tomatoes have come on the market Often the stems ... from red to pale white They are very sweet Season: Available year-round Pack: 4½- to 5-lb (2- to 2.2-kg) carton Count: 24 bunches per case, to baby carrots to a bunch Serving size: to pieces ... strengthened my understanding of ethnic ingredients and the need to add as many such products as practical to this book It was a challenge to select the information most likely to be useful to readers In...

Ngày tải lên: 01/06/2014, 07:57

... episodes of seizure referred to the clinic, but not yet on anticonvulsants); surgical clinic (n = 11, children prior to or after herniotomy, post appendicectomy); and ear, nose and throat clinic (n = ... using age, sex, study group and body mass index (BMI) as independent variables to avoid colinearity between BMI and weight and height Differences, correlations (Spearman’s) and regression coefficient ... University of Lagos and Lagos University Teaching Hospital, Idi-Araba, Lagos State, Nigeria Laboratory and Genomic Medicine, Department of Pathology and Immunology, Washington University School...

Ngày tải lên: 20/06/2014, 08:20

... A function j(r) is said to belong to the class K if j Î C[(0,r),ℝ+], j(0) = 0, and j(r) is strictly monotone increasing in r It is said to belong to class K∞ if r = ∞ and j (r) ® ∞ as r ® ∞ Definition ... in the Caputo’s sense, we have the relations among the Caputo, RiemannLiouville and Grünwald-Letnikov fractional derivatives, and the initial conditions are specified according to Caputo’s suggestion ... comparison theorem and boundedness criteria and Lagrange stability for initial time difference, we need to introduce the following definitions of ITD boundedness and Lagrange stability and Lyapunov-like...

Ngày tải lên: 20/06/2014, 22:20

... solution 22 Boundary Value Problems Acknowledgments The authors would like to thank the editor and the reviewers for their valuable comments and suggestions which helped to significantly improve ... no 3, pp 1277–1287, 2009 S K Ntouyas, Y G Sficas, and P Ch Tsamatos, “Boundary value problems for functional-differential equations,” Journal of Mathematical Analysis and Applications, vol 199, no ... of positive solutions of BVP 3.1 into a fixed point problem of operator 3.13 Lemma 3.3 Consider that Φ K ⊂ K Proof If t ∈ −τ, and t H1 yields Φy T 1, Φy t αΦ η and Φy T Φy t max t∈ −τ,T Φy Φy t...

Ngày tải lên: 21/06/2014, 11:20

... Agarwal and P J Y Wong, Advanced Topics in Difference Equations, Mathematics and Its Applications, vol 404, Kluwer Academic, Dordrecht, 1997 [3] E Camouzis and G Papaschinopoulos, Global asymptotic ... Let I = [c,d] and J = [α,β] be intervals of real numbers Assume that f ∈ C(J × I,I) and g ∈ C(I × J,J) satisfy the following properties: (i) f (u,v) and g(u,v) are decreasing in u and increasing ... equilibrium (S,T) and every solution of (2.15) with the initial values x−s ,x−s+1 , ,x0 ∈ I and y− p , y− p+1 , , y0 ∈ J converges to (S,T) Proof Let m0 = c, m0 = α, M1 = d, M2 = β, (2.16) and for i...

Ngày tải lên: 22/06/2014, 22:20

... to be positive and the initial conditions x−1 , x0 are arbitrary positive real numbers In [7], the second author and Ladas obtained both local and global stability results for (1.2), (1.3), and ... to the positive equilibrium, and since this equilibrium is locally asymptotically stable, it is also globally asymptotically stable Now, we will establish results on the rate of convergence to ... theorem and e statement (ii) follows as a consequence of Theorem 1.5 Conditions (4.11) and (4.14) are actually conditions for the characteristic equation (4.5) to have two real distinct roots and to...

Ngày tải lên: 23/06/2014, 00:20

... make the text too wide, as it becomes monotonous to read from a single line to the next because too much head and eye movement is required The headline must be catchy and interesting and should ... imagined feeling and motivates your customer to translate that feeling into reality Power phrases increase a customer's longing for your product or service and cause an emotional decision to buy Creating ... and informal parlance, to make it more user-friendly You might have to break certain grammar rules You might need to begin sentences with "and" or "but." You might have to use abbreviations and...

Ngày tải lên: 27/06/2014, 23:20

Ngày tải lên: 05/08/2014, 15:20

... with vertices Z × Z and arcs from (j, k) to (j + 1, k) and from (j, k) to (j, k + 1) for all j, k), where Pi starts at (−i, 1) and ends at (λi − i, N ), and where no two paths Pi and Pj have a lattice ... the colours are exchanged) and change colours For an illustration, read Figures and from right to left So what is left to prove is surjectivity: To this end, it suffices to prove that if we apply ... It is easy to see that the simultaneous application of πj to the “green object” and of i µj to the “blue object” amounts to interchanging colours of the leftmost point in blue block i and of the...

Ngày tải lên: 07/08/2014, 06:22