... transformation, we first expand (5) to obtain r1 [k] = f1 c1 [k] + f2 c2 [k] + n1 [k], r2 [k] = f1 c2 [k] + f2 c1 [k] + n2 [k] (1 /2) E f1 c1 [k] + f2 c2 [k] (1 /2) E n1 [k] 2 = , N0 (9) where E{·} is ... row/column sum of Vn , can be expressed as xn = 12 Vn 1T /2 or as xn = 12 Um Vk 1T /2, where 12 = [1, 1] 2 is an all-one row vector of length two However, we can also deduce that 12 Um = ym 12 and Vk ... sample r2 [k] Next, we introduce the new variables p1 [k] = r1 [k] + r2 [k] = g1 b[k] + w1 [k], ∗ ∗ p2 [k] = r1 [k] − r2 [k] = g2 b[k] + w2 [k], (10) where g1 ≡ f1 + f2 , g2 ≡ f1∗ − f2∗ (11)...
... equation I satisfy the range of values • ADJ of X which would satisfy this equation -for the equation for a straight line • PHRASES a side of the equation the numbers on the right-hand side of ... an/the- the number of people living on the estate I - of an estate of 20 000acres • PHRASES an heir to an estate The young prince is the • VERB • PREP conservative, low I think 15 000will turn out ... prospect of a new job - of the excitement of meeting new people o PHRASES an air of excitement There was an air of excitement about the place a feeling/sense of excitement, a fever /state of excitement...
... equation I satisfy the range of values • ADJ of X which would satisfy this equation -for the equation for a straight line • PHRASES a side of the equation the numbers on the right-hand side of ... an/the- the number of people living on the estate I - of an estate of 20 000acres • PHRASES an heir to an estate The young prince is the • VERB • PREP conservative, low I think 15 000will turn out ... prospect of a new job - of the excitement of meeting new people o PHRASES an air of excitement There was an air of excitement about the place a feeling/sense of excitement, a fever /state of excitement...
... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0- 52 1 -43108 -5) Copyright (C) 1988-19 92 by Cambridge University Press.Programs Copyright (C) 1988-19 92 by Numerical Recipes Software Permission ... http://www.nr.com or call 1-800-8 72- 7 423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America) x2 x1 7 12 Chapter 16 Integration of Ordinary Differential Equations yn yn + Figure ... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0- 52 1 -43108 -5) Copyright (C) 1988-19 92 by Cambridge University Press.Programs Copyright (C) 1988-19 92 by Numerical Recipes Software Permission...
... vol 41, pp 399– 422 [2] Deuflhard, P 19 85, SIAM Review, vol 27 , pp 50 5 53 5 [3] 16 .5 Second-Order Conservative Equations Usually when you have a system of high-order differential equations to solve ... 1-800-8 72- 7 423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America) y x ⊗ steps 726 Chapter 16 Integration of Ordinary Differential Equations n = 2, 4, 6, 8, 12, 16, 24 , ... 8, 12, 16, 24 , 32, 48, 64, 96, , [nj = 2nj 2 ], (16.4.1) More recent work by Deuflhard [2, 3] suggests that the sequence n = 2, 4, 6, 8, 10, 12, 14, , [nj = 2j], (16.4 .2) is usually more...
... remove this law 22 2 law the law of averages the probability that you will get one result about the same number of times as another if you something often enough • By the law of averages we can't ... the lie of the land British & Australian the lay of the land American & Australian It's always a good idea tofind out the lie of the land before applying to a company land-office a land-office ... poorer parts of the world still look on the States as the land of milk and honey be in the land of nod old-fashioned to be sleeping « Joe's in the land of nod at last be in the land of the living...
... makes us a lots of homework She makes us a lot of homework She makes us lots of homework a lot of (WITH a): 'I bet she's got a lot of money.' lots of (WITHOUT a): 'I bet she's got lots of money.' ... kind of is not a good way of reducing these kinds of kind/sort/type of + singular form: 'this kind of envelope' kinds/sorts/types of + singular or plural form: 'these kinds of envelope/s' Note that ... www.verypdf.com to remove this wate 20 0 lighted x / It was one of the happiest days in my life It was one of the happiest days of my life superlative ('happies!') + noun + of your life (NOT in): 'She...
... and adding rules G2m-s as follows: The affixed string that G2* generates as the representationof the structural description of E2 with respect to G2 is given in E2* (G2) e' (E2*) NP D the N N ... > v (sP) ({Pe2, ~) m NP • NP PP2 n PP1 • PI N P o PP2 • P2 N P p E2* can be interpreted as the structural description of E2 with respect to G2 by the rules in R, with the addition of a rule to ... ([PP2*, C*}) m NP* ~ N P * PP2* NP n PPI* -> o PP2* > (G2*) e' p VP* ~ PP1PI* NP ~ PP2 P2* NP* (E4) a the student saw the teacher in the house VP* {A*, PP2*} VP q A* P r PI* • P1 o f s F2* -~...