14 1 solution of the differential equation for forced harmonic motion

... | 3. 81 × 10 −6 3.30 × 10 −5 1. 13 × 10 −4 2.69 × 10 −4 5.24 × 10 −4 8.85 × 10 −4 1. 30 × 10 −3 1. 52 × 10 −3 j 17 |z3 ti − z ti | 1. 03 × 10 −6 8.42 × 10 −6 2.85 × 10 −5 6.76 × 10 −5 1. 31 × 10 −4 2. 21 × 10 −4 ... × 10 −4 1. 95 × 10 −3 2.92 × 10 −3 3.90 × 10 −3 4.87 × 10 −3 5.83 × 10 −3 6.77 × 10 −3 7.68 × 10 −3 j 17 |z2 ti − z ti | 2.44 × 10 −4 4.88 × 10 −4 7.32 × 10 −4 9.75 × 10 −4 1. 21 × 10 −3 1. 45 × 10 −3 1. 69 × 10 −3 ... 3.23 × 10 −4 3.75 × 10 −4 j 33 |z3 ti − z ti | 2.63 × 10 −7 2 .11 × 10 −6 7 .14 × 10 −6 1. 69 × 10 −5 3.28 × 10 −5 5.53 × 10 −5 8.07 × 10 −5 9.36 × 10 −5 Table 2: Absolute errors for Example 4.2 ti 0 .12 5 0.250...

Ngày tải lên: 21/06/2014, 10:20

... positive solutions {xn }∞ 1 of 1. 1 are bounded Then we have the following theorem n Theorem 3.6 S ∞ n Qn ∪ ∞ n Pn ⊂ A1 ∪ A2 ∪ { x, x } Proof Let {xn }∞ 1 be a positive solution of 1. 1 with the ... that q 1 qx 1 − p2 − q ≥ 2pq x 1 − p − q − − 4pq q − − p x 1 2.23 qx 1 − p2 − q Finally we have x 1 q − ≥ x 1 − p q − − p pqx 1 q 1 p 1 qx 1 − p2 − q qx 1 − p2 − q − 1 qx 1 − p2 − q q 1 p qx 1 − ... 2.7 The proof of Lemma 2.3 is completed Main Results In this section, we investigate the boundedness of solutions of 1. 1 Let q > p > 1, and let {xn }∞ 1 be a positive solution of 1. 1 with the...

Ngày tải lên: 21/06/2014, 20:20

... which is the array of weights used to combine the pixels from the long and the short image In the case of these combined images the error (ERR) array contains the standard deviations of the weighted ... intentionally overexpose the core of the Balmer lines from the central star in the long exposure in order to obtain greater signal in the wings of the lines and the fainter parts of the surrounding nebula ... Account For All Possible Errors The values in the error (ERR) array are the theoretical statistical errors for each corresponding pixel calculated by the method outlined on page 12 of the CALSTIS...

Ngày tải lên: 07/03/2014, 14:20

... doi :10 .10 88/0266-5 611 /23/6/ 011 20 Yurko, VA: Inverse problems for the matrix Sturm-Liouville equation on a finite intervl Inverse Probl 22, 11 39– 11 49 (2006) doi :10 .10 88/0266-5 611 /22/4/002 doi :10 .11 86 /16 87-2770-2 011 -40 ... 239-240 (1) , 10 3 14 5 (2002) doi :10 .10 02 /15 22-2 616 (200206)239 :13 .0.CO;2-F 15 Jodeit, M, Levitan, BM: The isospectrality problem for the classical Sturm-Liouville equation Adv Differ Equ 22, 297– 318 (19 97) ... Hill’s equation Inverse Probl 16 (3), 749–783 (2000) doi :10 .10 88/ 0266-5 611 /16 /3/ 313 18 Shen, C-L: Some inverse spectral problems for vectorial Sturm-Liouville equations Inverse Probl 17 (5), 12 53 12 94...

Ngày tải lên: 20/06/2014, 22:20

... lim 1/ p p/q−p p→∞ m1 M2 q → M1 1/ p lim 1/ p 1 p→∞ m1 q → M1 q/p M1 q m1 M2 −M1 m2 m1 /M1 p 1/ q M1 m1 2 .10 Let p → ∞, q → in 2.6 , then we obtain n m1 k bk ≤ n k ak bk ≤ M1 n bk k 2 .11 Journal of ... 1, pp 11 8 12 3, 19 97 15 C.-H Lee, “On the upper and lower bounds of the solution for the continuous Riccati matrix equation, ” International Journal of Control, vol 66, no 1, pp 10 5 11 8, 19 97 16 ... ∞ p,q q 1 lim p→∞ q 1 1≤k≤n q p q M1 M2 − m m q 1/ p q p M1 m2 M2 − m1 M2 m2 p p→∞ 1/ p q → M1 p q m1 M2 M1 − M1 m2 m1 p lim max {ak }, an q 1/ q q M1 M2 − m1 /M1 p m2 q q p m2 M2 − m1 /M1 M2 m2...

Ngày tải lên: 22/06/2014, 03:20

... a 2-periodic solution Proof of Theorem 1. 1 In this section, we will prove Theorem 1. 1 Without loss of generality, we may assume l < 2k the proof for the case l > 2k is similar ; then {l, 2l, ... j ∈ {1, 3, , 2k − 1} 2 .18 By 1. 1 and 2 .18 , we have xtβ −2k l 1 f xtβ −2k l 1 −l , xtβ −2kl < f M − ε, g M − ε g M−ε 2 .19 Also 1. 1 , 2 .18 , and 2 .19 imply that xtβ −2k l 1 f xtβ −2k l 1 −l ... m 2.7 g M The proof is complete Proof of Theorem 1. 1 Let {xn }∞ −α be a positive solution of 1. 1 with the initial conditions n x0 , x 1 , , x−α ∈ 0, ∞ It follows from Lemma 2 .1 that a

Ngày tải lên: 22/06/2014, 06:20

... a 2-periodic solution Proof of Theorem 1. 1 In this section, we will prove Theorem 1. 1 Without loss of generality, we may assume l < 2k the proof for the case l > 2k is similar ; then {l, 2l, ... j ∈ {1, 3, , 2k − 1} 2 .18 By 1. 1 and 2 .18 , we have xtβ −2k l 1 f xtβ −2k l 1 −l , xtβ −2kl < f M − ε, g M − ε g M−ε 2 .19 Also 1. 1 , 2 .18 , and 2 .19 imply that xtβ −2k l 1 f xtβ −2k l 1 −l ... m 2.7 g M The proof is complete Proof of Theorem 1. 1 Let {xn }∞ −α be a positive solution of 1. 1 with the initial conditions n x0 , x 1 , , x−α ∈ 0, ∞ It follows from Lemma 2 .1 that a

Ngày tải lên: 22/06/2014, 19:20

... n 10 11 12 13 14 15 16 17 18 19 20 30 40 50 60 70 80 90 10 0 Fixed-point iteration av it > 84 it > 300 86.02 41 89.52 43 92.28 47 84.25 44 10 0 .15 53 10 1. 51 57 11 0. 31 56 10 8.76 64 10 0.59 61 111 .42 ... set of test examples n 10 11 12 13 14 15 16 17 18 19 20 30 40 50 60 Fixed-point iteration av it > 84 it > 300 56. 01 16 69. 31 27 55 .13 12 60.88 14 55.85 14 54.83 51. 93 12 48.97 48.40 51. 55 10 45.62 ... 61 111 .42 64 11 7. 01 71 117 .40 65 11 1.33 70 12 2.62 68 10 2.92 82 11 8.40 74 12 5.37 76 15 4.33 90 15 8.60 90 16 5.62 92 15 9. 71 97 16 7.62 98 17 5.44 98 18 6.52 99 SDA av 6. 01 6.06 6.08 5.97 6 .17 6.34 6.30...

Ngày tải lên: 22/06/2014, 19:20

... (2,j +1, 2) (1, j+3 ,1) A E B (1, j 1, 1) (1, j +1, 1) (1, j+2,2) FB (1, j,2) BA EF (2,j+4 ,1) (2,j+3,2) (2,j+2 ,1) (2,j 1, 0) D (1, j+4,0) B (2,j +1, 2) (2,j ,1) BD (1, j+3 ,1) F E (1, j 1, 1) E (1, j,2) (1, j+2,2) (1, j +1, 3) ... in terms of the indicated boundary values (blue vertices): T1,0 ,1 = a1 T1 ,1, 0 = b1 T1,2 ,1 = c1 T1,3,2 = d1 T1,4 ,1 = e1 T1,5,0 = f1 T1,6 ,1 = g1 T2,0,0 = a2 T2 ,1, 1 = b2 T2,2,2 = c2 T2,3 ,1 = d2 T2,4,0 ... + 1, j1 = j + n − Defining ǫ = − (k mod 2) and θ = j1 mod 2, we get: ˜ R1,n+m1 = T1,ǫ,k = T1,θ,k1 (Um Um )n 1 ˜ = R1,m1 +1 (Um Um ) n 1 1 ,1 1 ,1 ˜ = R1,m1 (Um Um )n 1, 1 ˜ by use of (Um )1, x = 1, x...

Ngày tải lên: 08/08/2014, 12:22

... generation ( 31. 0% of 3.2 PWh) avoids the emission of 990 to 12 70 million tonnes of CO2 every year, while all the renewable energy sourcess together (14 . 7% of 3.2 PWh) save less than half as much The nuclear ... been the subjects of many detailed studies The sustainable development scenario of the IEA/OECD study [14 ] predicts the progression shown in Fig in Gtoe (1 Gtoe = Gigatonne of oil equivalent = 11 .63 ... supply the energy needs of future generations In Europe, about one third of the energy produced comes in the form of electric energy, 31. 0% of which is produced by nuclear power plants and 14 . 7%...

Ngày tải lên: 08/08/2014, 15:21

... traits These predicted missing values influence the right-hand side of the RAM equations, which after canonical transformation is of the form: After each solution of the reduced system of equations, ... corresponding to the fixed effects on the one hand and to the random on the other The off-diagonal blocks are moved to the right-hand side after the current solutions of the effects part, the system ... and Quaas, 19 76; Foulley et al, 19 82; Quaas, 19 84; Schaeffer, 19 84) The inclusion of the known relationship between traits in a joint analysis of these traits increases the amount of information...

Ngày tải lên: 09/08/2014, 18:22

... foreword foreword 3 .1. 1.2 program communication 3 .1. 1.3 representation 3 .1. 2 overview 3 .1. 2 .1 storage 16 7 16 9 17 0 17 0 17 1 17 4 18 0 18 2 3 .1. 2.2 back-approximation and lag evaluation 18 8 3 .1. 2.3 secondary ... Y m1F1 1. E1 1k1 11 11 11 Y i = f2 (t ' Y n 21 Yr; = fn ( t , Yn n1 — Yn - Yn 2k2 nkn Ym ''m Y ("Y))) (a— m272 21 (aiii ( " Y)) — 21 nl ( a (t,Y)) - Ym ( aiT (t,Y))) nl nkn nFn m2k2 (10 ) for ... representation (10 ) yi f l (t, y n y n 11 Y i = f2(t' ye Y n 21 2k2 Y n = fn(t' Yn nl — , 'm1 1k1 11 Yn nk2 'm 21 21 ' Ym nl (t,y)) 11 21 (ain nl (t1Y)) — ( " )) — Y m ( aE 4))) 1F 11 y (t,y)))...

Ngày tải lên: 11/10/2014, 04:02

... -0 C -1 -4.c LI 00 n4 -14 . 1 0404 C 04.- U -4 o 14 01 111 - 01 011 .1 4 014 4 4-I O 14 01 44 g • 14 - 1 Al CI 4 -1 4r 4 01 U 41 al O 14 14 01 01 14 In 01 014 )4 34 M 04 14 0 I 11 14 0 .0 •0 13 A U > 11 / CO ... 0 .14 la B>,>, 14 4 -I 3" ) 0 )4 E 11 ) 44 o At 61 44 -4 000 11 40 1c0 000 41 oX o 0 Cr m Z 14 - I -I fe 40 14 07 41 was 14 -0 el 14 0, -1 WU 14 xi 14 _ C14 14 la 13 14 M o 1: 1 c o c 010 1 0/ .1. 00 11 14 ... >10 CO E In 0 10 `- al Ca >11 0 14 -I 1 11 4 11 14 000 - .1. 4 -0 V - C X -1 C 0 41 11 0 n Z 1- 1 - Ill U 41 11 0 - 11 0. 41 4) A 63 > .)4 • C1 -1 1 .1 4,0 V ( 711 -0 41 0 WO 11 ) /4 4 11 4 41 W +1 44 1. 4...

Ngày tải lên: 11/10/2014, 04:03

... pentamer with the dimethyl -1, 2,4,5-tetrazine-3,6- O C N NHC14H17N2O2S N HN N SO2N2C14H17HN O C N NHC14H17N2O2S N HN N SO2N2C14H17HN C O C O CO N H2N OC O C OC N H N N SO2N2C14H17HN O C N NHC14H17N2O2S ... HN N SO2N2C14H17HN C O C O N O C O C N H N O C OC NHC14H17N2O2S NH N N N H N N SO2N2C14H17HN OC O C O C N H N CO2H NHC14H17N2O2S NH N C O 14 Figure elucidates the product of 14 after the complete ... growing field of the theranostics [34] Conflict of Interest The authors have declared that no conflict of interest exists References 10 11 12 13 14 15 16 17 18 19 Bachmann WE, Chemerda JM The Diels...

Ngày tải lên: 25/10/2012, 11:00

... /min -1/ 2 ) (between any two consecutive points) (%) 15 00 14 5 1 14 0 8 13 54 13 04 12 48 11 97 11 43 10 93 - - - 0.274 0.254 0.284 0.259 0.274 - 0.269 4.55 - - - 15 16 15 04 15 28 15 03 15 21 - 1 514 ... 2. 017 2.090 2.220 1. 674 1. 717 1. 780 1. 7 91 1.806 1. 864 1. 911 2. 018 2.092 2.220 21. 1 20 .1 18.7 18 .4 18 .1 17.0 16 .2 - - - d0 (25.4 x 10 -4 mm) settlement EOP δ ti δ pi Coefficient of consolidation ... 1 514 0.72 Time (min) 20.25 25 30.25 36 42.25 60 10 0 200 400 14 4 0 Dial Reading (x 10 -4 in) in = 25.4 mm 10 43 999 956 922 892 830 765 722 693 642 1. 2 01 1. 313 1. 422 1. 509 1. 585 1. 742 1. 908 2. 017 ...

Ngày tải lên: 21/03/2013, 14:09

... Mixing ratio of the raw materials (-) 60 5.7 5 .1 1 91 455 19 9 12 5 3 51 4:2 :1 60 6.6 5.3 18 5 4 41 166 293 5 51 3:2 :1 60 10 .4 5.2 18 6 443 18 1 252 393 3 :1: 1 Experimental apparatus and procedure The schematic ... approximately 10 :1 The solid particles were reduced to a uniform size of about to mm and were well mixed before the use The pH of the DF and its moisture content (MC) were 5 .1 and 8.4%, respectively The ... [kcal･m-2･hr -1 °C -1] by the preliminary experiment It was difficult to determine the real enthalpy of the composting reaction, ∆Η , due to a lack of data Therefore, the nutritional energy of the DF...

Ngày tải lên: 05/09/2013, 08:40

... the same way in the situation described? (E) Why are the separate parts of the self the same for all subjects? Questions 13 -14 are based on the following 23 The program to control the entry of ... denationalization 13 E comparing the long-term effects of the crash on the purchasing power of the currency of Country T to the immediate, more severe short-term effects of the crash on the purchasing power of ... areas for the native species of fish (C) The lowest recorded temperature of the Emerald River before the dam was built was 34 degrees, whereas the lowest recorded temperature of the river after the...

Ngày tải lên: 17/10/2013, 15:15

... need the following materials: Microsoft PowerPoint® file 212 4C_ 01. ppt Module 1, “Overview of the Microsoft NET Platform” Preparation Tasks To prepare for this module, you should: Read all of the ... Describe the NET Platform List the main elements of the NET Platform Describe the NET Framework and its components Explain the language support in the NET Framework 2 Module 1: Overview of the Microsoft ... all of the materials for this module Read the instructor notes and the margin notes for the module iv Module 1: Overview of the Microsoft NET Platform Module Strategy Use the following strategy...

Ngày tải lên: 18/10/2013, 18:15

Ngày tải lên: 15/02/2014, 13:20

... the coverage of the formal financial system It is further observed that 58% of the labourers and 20% of salary earners prefer to keep their saving at home The survey has observed the saving of ... investment decisions According to the findings of the survey, for meeting unforeseen expenses, over 81% of the Landless form 40% of the total households From the above findings it is apparent ... in remote areas Number of post offices in rural areas at 13 912 0 (89.5% of the total post offices) far exceeded those in the urban areas 16 396 (10 .5%) Indian post offices offer various small savings...

Ngày tải lên: 16/02/2014, 11:20