Numerical Methods in Engineering with Python Phần 5 pps
Numerical Methods in Engineering with Python Phần 1 docx
... LU =
⎡
⎢
⎣
200
12 0
1 11
⎤
⎥
⎦
⎡
⎢
⎣
4 − 31
04−3
002
⎤
⎥
⎦
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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...
Numerical Methods in Engineering with Python Phần 2 potx
... 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/...
Numerical Methods in Engineering with Python Phần 3 ppsx
... 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...
Numerical Methods in Engineering with Python Phần 4 pps
... range(m+1):
for j in range(m+1):
a[i,j] = s[i+j]
return gaussPivot(a,b)
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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...
Numerical Methods in Engineering with Python Phần 5 pps
... 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...
Numerical Methods in Engineering with Python Phần 6 pps
... 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,’’...
Numerical Methods in Engineering with Python Phần 7 pdf
... 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...
Numerical Methods in Engineering with Python Phần 8 pot
... 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...
Numerical Methods in Engineering with Python Phần 9 ppt
... 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...
Numerical Methods in Engineering with Python Phần 10 docx
... 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...
Natural Language Processing with Python Phần 1 docx
... political parties; State governments;
20 | Chapter 1: Language Processing and Python
3 .10 Summary 12 1
3 .11 Further Reading 12 2
3 .12 Exercises 12 3
4. Writing Structured Programs . . . . . . . . ... ix
1. Language Processing and Python . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1 .1 Computing with Language: Texts and Words...
Natural Language Processing with Python Phần 2 ppsx
...
4 21 26 austen-emma.txt
4 23 16 austen-persuasion.txt
4 24 22 austen-sense.txt
4 33 79 bible-kjv.txt
4 18 5 blake-poems.txt
4 17 14 bryant-stories.txt
4 17 12 burgess-busterbrown.txt
4 16 12 ... (McEnery, 20 06), (Meyer, 20 02) ,
(Sampson & McCarthy, 20 05), and (Scott & Tribble, 20 06). Further readings in quan-
titative data analysis in linguistics are: (Baayen, 20 08),...
Natural Language Processing with Python Phần 4 ppsx
... len(file)
for word in nltk.word_tokenize(text):
4. 5 Doing More with Functions | 153
>>> extract_property(len)
[4, 4, 2, 3, 5, 1, 3, 3, 6, 4, 4, 4, 2, 10, 1]
>>> def last_letter(word):
... replaced with the function’s result:
>>> repeat(monty(), 3)
'Monty Python Monty Python Monty Python& apos;
>>> repeat('Monty Python& apos;, 3...
Natural Language Processing with Python Phần 5 pptx
... in Figure 5- 2.
Figure 5- 2. List lookup: We access the contents of a Python list with the help of an integer index.
5. 3 Mapping Words to Properties Using Python Dictionaries | 189
5. 10 Exercises
1. ... classifier.pseudocode(depth=4)
if endswith(,) == True: return ','
if endswith(,) == False:
if endswith(the) == True: return 'AT'
if endswith(the) == False:...
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