Numerical Methods in Engineering with Python Phần 8 pot

... consensus in the first instance, risking the kind of obstructionism we encountered with Iraq, but can operate independently in the latter case. The advantage of co-coordination is that we can garner the ... persuaded as to either view, the cautious electorate of the nation’s midsection (the old Midwest) – which now holds the balance of political power in the co...

Ngày tải lên: 05/08/2014, 13:21

... LU = ⎡ ⎢ ⎣ 200 12 0 1 11 ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ 4 − 31 04−3 002 ⎤ ⎥ ⎦ P1: PHB CUUS884-Kiusalaas CUUS884- 01 978 0 5 21 1 913 2 6 December 16 , 2009 15 :4 3 1. 2 Core Python for k in range(n -1, -1, -1) : b[k] = (b[k] ... ones((2,2)) [[ 1. 1. ] [ 1. 1. ]] P1: PHB CUUS884-Kiusalaas CUUS884-FM 978 0 5 21 1 913 2 6 December 16 , 2009 15 :4 ii P1: PHB CUUS884-Kiusalaas CUUS884-02 978...

Ngày tải lên: 07/08/2014, 04:20

... in Eq. (2. 16) we obtain ⎡ ⎢ ⎣ 4 22 22 −4 2 −411 ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ L 2 11 L 11 L 21 L 11 L 31 L 11 L 21 L 2 21 + L 2 22 L 21 L 31 + L 22 L 32 L 11 L 31 L 21 L 31 + L 22 L 32 L 2 31 + L 2 32 + L 2 33 ⎤ ⎥ ⎦ Equating ... L 2 33 ⎤ ⎥ ⎦ Equating the elements in the lower (or upper) triangular portions yields L 11 = √ 4 = 2 L 21 = 2/ L 11 = 2/ 2 =−1 L 31 = 2/...

Ngày tải lên: 07/08/2014, 04:20

... 10 ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ 1.1 23 32 4. 236 92 −1.848 28 ⎤ ⎥ ⎦ β 0 =− r T 1 As 0 s T 0 As 0 =− 1.1 23 32(54) + 4. 236 92(−26) −1.848 28 (34 ) 12(54) +(−1)(−26) +5 (34 ) = 0. 133 107 s 1 = r 1 + β 0 s 0 = ⎡ ⎢ ⎣ 1.1 23 32 4. 236 92 −1.848 ... (pivoting is recommended). Run the program with n = 2, 3, and 4 and comment on the results. 20.  3m /s 3 2 m /s 3 4 m /s 3 2 m /s 3 4 m /s 3 2 m /s...

Ngày tải lên: 07/08/2014, 04:20

... range(m+1): for j in range(m+1): a[i,j] = s[i+j] return gaussPivot(a,b) P1: PHB CUUS8 84- Kiusalaas CUUS8 84- 04 978 0 521 19132 6 December 16, 2009 15 :4 149 4. 4 Methods Based on Linear Interpolation Second ... the denominator in Eq. (3.15) are zero, so that σ is indeterminate. Fitting a Straight Line Fitting a straight line f (x) = a +bx (3.16) to data is also known as linear reg...

Ngày tải lên: 07/08/2014, 04:20

... the root-finding methods in Chapter 2. This was done with α = 0 ◦ ,5 ◦ ,10 ◦ , ,30 ◦ ,the results being α (deg) 0 5 10 15 20 25 30 β (rad) 1. 659 5 1 .54 34 1.4186 1.29 25 1.1712 1. 058 5 0. 956 1 If link ABrotates ... 0. 05 0.10 0. 15 0.20 0. 25 F (N) 0 37 71 104 134 161 x (m) 0.30 0. 35 0.40 0. 45 0 .50 F (N) 1 85 207 2 25 239 250 P1: PHB CUUS884-Kiusalaas CUUS884- 05...

Ngày tải lên: 07/08/2014, 04:20

... 0.3 86 875 0.314 020 0.245 317 0.5 56 165 0.190 435 0.538 65 7 0.142 009 0.848 982 (−1)0.392 255 0.7 56 9 16 (−1)0.554 5 46 0.922 66 9 (−1)0.101 69 0 Table 6. 6 Multiply numbers by 10 k ,wherek is given in ... prints every nth step. freq = 0 prints initial and final values only. ’’’ def printSoln(X,Y,freq): def printHead(n): print ’’\n x ’’, for i in range (n): print ’’ y[’’,i,’’...

Ngày tải lên: 07/08/2014, 04:20

... 15:4 292 Two-Point Boundary Value Problems  linInterp Here is the algorithm we use for linear interpolation: ## module linInterp ’’’ root = linInterp(f,x1,x2). Finds the zero of the linear function ... 1.3848e+000 4.0000e-001 5.4 170 e-001 1. 074 3e+000 6.0000e-001 7. 2187e-001 7. 3287e-001 8.0000e-001 8.3944e-001 4. 575 2e-001 1.0000e+000 9.1082e-001 2 .70 13e-001 1.2000e+000 9.5227e-001...

Ngày tải lên: 07/08/2014, 04:20

... 9.7152e-001 7.0 683 e-001 -1 .86 66e-001 -4.4722e-001 -2 .88 96e-001 9.7627e-001 9 .88 85e-001 -3.2061e-001 -4 .89 68e-001 -1.1144e-002 9. 984 8e-001 1.0000e+000 -3.2607e-001 -4 .89 75e-001 -6.7428e-011 1.0000e+000 x 0.00 ... = ( −0.535 18 )( 0 .88 1 68 ) =−0.471 86 τ = s 1 +c = −0.47 186 1 +0 .88 1 68 =−0.250 77 We obtain the changes in the transformation matrix P from Eqs. (9.20). R...

Ngày tải lên: 07/08/2014, 04:20

... 0.26726603 0.7 291 0002 0.505 791 64] [-0.74142854 0.41 391 448 -0.31882387] [-0.05017271 -0.4 298 6 39 0.52077788] [ 0. 594 91453 0.0 695 5611 -0.60 290 543] [-0.1 497 0633 -0.32782151 -0.0884 398 5]] PROBLEM SET 9. 2 1. ... PHB CUUS884-Kiusalaas CUUS884- 09 978 0 521 191 32 6 December 16, 20 09 15:4 357 9. 4 Householder Reduction to Tridiagonal Form QA  Q = ⎡ ⎢ ⎣ 10.642 −0.1388 9. 1 2...

Ngày tải lên: 07/08/2014, 04:20

... linear regression, 128–129 polynomial interpolation, 99 107 Lagrange’s method, 99 101 limits of, 106 107 Neville’s method, 104 106 Newton’s method, 101 103 rational function interpolation, 110 112 interval ... 244–246 Input/output printing, 12–13 reading, 13–14 writing, 14 integration order, 229 interpolation, derivatives by, 185–186 cubic spline interpolant, 186 polynomial interpolan...

Ngày tải lên: 07/08/2014, 04:20

... object stored at location 31 33 (which is itself a series of pointers to other locations holding strings). When we assign bar = foo, it is just the object reference 31 33 that gets copied. This ... method for searching tokenized text described in Section 3. 5. The post is at http://itre.cis.upenn.edu/~myl/languagelog/archives/002 733 .html. 36 . ◑ Study the lolcat version of the book of...

Ngày tải lên: 07/08/2014, 04:20

... it into various other special-purpose languages. In fact, most serious attempts to query databases via natural language have used this methodology. Natural Language, Semantics, and Logic We started ... logic-based approaches to natural language semantics focus on those aspects of natural language that guide our judgments of consistency and inconsistency. The syntax of a logical...

Ngày tải lên: 07/08/2014, 04:20

... closures, 100 L lambda expressions, 150, 386–390 example, 152 lambda operator (λ), 386 Lancaster stemmer, 107 language codes, 65 language output, generating, 29 language processing, symbol processing versus, ... to the notion of language as a formal system amenable to automatic processing. Three later developments laid the foundation for natural language processing. The fi...

Ngày tải lên: 07/08/2014, 04:20