1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
|
\begin{patch}{UXANNAExPatch1}
\begin{paste}{UXANNAExFull1}{UXANNAExEmpty1}
\pastebutton{UXANNAExFull1}{\hidepaste}
\tab{5}\spadcommand{ans := integrate((exp(-X^3)+exp(-3*X^2))/sqrt(X),0.0..\%plusInfinity)\bound{ans }}
\indentrel{3}\begin{verbatim}
(1)
[d01ajfAnnaTypeAnswer: Result, abserr: DoubleFloat,
method: Result, result: DoubleFloat,
explanations: List(String), attributes: List(Any),
d01apfAnnaTypeAnswer: Result]
Type: Result
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{UXANNAExEmpty1}
\begin{paste}{UXANNAExEmpty1}{UXANNAExPatch1}
\pastebutton{UXANNAExEmpty1}{\showpaste}
\tab{5}\spadcommand{ans := integrate((exp(-X^3)+exp(-3*X^2))/sqrt(X),0.0..\%plusInfinity)\bound{ans }}
\end{paste}\end{patch}
\begin{patch}{UXANNAExPatch2}
\begin{paste}{UXANNAExFull2}{UXANNAExEmpty2}
\pastebutton{UXANNAExFull2}{\hidepaste}
\tab{5}\spadcommand{ans . 'result\free{ans }}
\indentrel{3}\begin{verbatim}
(2) 3.23287256251958
Type: DoubleFloat
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{UXANNAExEmpty2}
\begin{paste}{UXANNAExEmpty2}{UXANNAExPatch2}
\pastebutton{UXANNAExEmpty2}{\showpaste}
\tab{5}\spadcommand{ans . 'result\free{ans }}
\end{paste}\end{patch}
\begin{patch}{UXANNAExPatch3}
\begin{paste}{UXANNAExFull3}{UXANNAExEmpty3}
\pastebutton{UXANNAExFull3}{\hidepaste}
\tab{5}\spadcommand{ans . 'abserr\free{ans }}
\indentrel{3}\begin{verbatim}
(3) 2.69960156338737e-08
Type: DoubleFloat
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{UXANNAExEmpty3}
\begin{paste}{UXANNAExEmpty3}{UXANNAExPatch3}
\pastebutton{UXANNAExEmpty3}{\showpaste}
\tab{5}\spadcommand{ans . 'abserr\free{ans }}
\end{paste}\end{patch}
\begin{patch}{UXANNAEx2Patch1}
\begin{paste}{UXANNAEx2Full1}{UXANNAEx2Empty1}
\pastebutton{UXANNAEx2Full1}{\hidepaste}
\tab{5}\spadcommand{ans2 := solve([Y[2],-1001*Y[2]-1000*Y[1]], 0.0, 10.0, [1.0,-1.0], [2,4,6,8], 1.0e-4)\bound{ans2 }}
\indentrel{3}\begin{verbatim}
(1)
[ifail: Integer, intensityFunctions: List(String),
tol: DoubleFloat, result: Matrix(DoubleFloat),
y: Matrix(DoubleFloat), method: Result,
explanations: List(String), x: DoubleFloat]
Type: Result
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{UXANNAEx2Empty1}
\begin{paste}{UXANNAEx2Empty1}{UXANNAEx2Patch1}
\pastebutton{UXANNAEx2Empty1}{\showpaste}
\tab{5}\spadcommand{ans2 := solve([Y[2],-1001*Y[2]-1000*Y[1]], 0.0, 10.0, [1.0,-1.0], [2,4,6,8], 1.0e-4)\bound{ans2 }}
\end{paste}\end{patch}
\begin{patch}{UXANNAEx2Patch2}
\begin{paste}{UXANNAEx2Full2}{UXANNAEx2Empty2}
\pastebutton{UXANNAEx2Full2}{\hidepaste}
\tab{5}\spadcommand{ans2 . 'result\free{ans2 }}
\indentrel{3}\begin{verbatim}
� 1.0 - 1.0 �
� �
� 0.135329965475963 - 0.135329965475963 �
� �
(2) � 0.018315370486087 - 0.0183153704860871 �
� �
�0.00247869592278824 - 0.00247869592278825 �
� �
�0.000335497710871914 - 0.000335497710871913�
Type: Matrix DoubleFloat
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{UXANNAEx2Empty2}
\begin{paste}{UXANNAEx2Empty2}{UXANNAEx2Patch2}
\pastebutton{UXANNAEx2Empty2}{\showpaste}
\tab{5}\spadcommand{ans2 . 'result\free{ans2 }}
\end{paste}\end{patch}
\begin{patch}{UXANNAEx2Patch3}
\begin{paste}{UXANNAEx2Full3}{UXANNAEx2Empty3}
\pastebutton{UXANNAEx2Full3}{\hidepaste}
\tab{5}\spadcommand{ans2 . 'y\free{ans2 }}
\indentrel{3}\begin{verbatim}
(3) [4.54002176643708e-05 - 4.54002176643708e-05]
Type: Matrix DoubleFloat
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{UXANNAEx2Empty3}
\begin{paste}{UXANNAEx2Empty3}{UXANNAEx2Patch3}
\pastebutton{UXANNAEx2Empty3}{\showpaste}
\tab{5}\spadcommand{ans2 . 'y\free{ans2 }}
\end{paste}\end{patch}
\begin{patch}{UXANNAEx3Patch1}
\begin{paste}{UXANNAEx3Full1}{UXANNAEx3Empty1}
\pastebutton{UXANNAEx3Full1}{\hidepaste}
\tab{5}\spadcommand{ans3 := optimize((X[1]+10*X[2])**2 + 5*(X[3]-X[4])**2 + (X[2]-2*X[3])**4 + 10*(X[1]-X[4])**4, [3,-1,0,1], [1,-2,\%minusInfinity,1], [3,0,\%plusInfinity,3])\bound{ans3 }}
\indentrel{3}\begin{verbatim}
(1)
[ifail: Integer, bl: Matrix(DoubleFloat),
bu: Matrix(DoubleFloat), method: Result,
attributes: List(String), explanations: List(String),
x: Matrix(DoubleFloat), objf: DoubleFloat]
Type: Result
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{UXANNAEx3Empty1}
\begin{paste}{UXANNAEx3Empty1}{UXANNAEx3Patch1}
\pastebutton{UXANNAEx3Empty1}{\showpaste}
\tab{5}\spadcommand{ans3 := optimize((X[1]+10*X[2])**2 + 5*(X[3]-X[4])**2 + (X[2]-2*X[3])**4 + 10*(X[1]-X[4])**4, [3,-1,0,1], [1,-2,\%minusInfinity,1], [3,0,\%plusInfinity,3])\bound{ans3 }}
\end{paste}\end{patch}
\begin{patch}{UXANNAEx3Patch2}
\begin{paste}{UXANNAEx3Full2}{UXANNAEx3Empty2}
\pastebutton{UXANNAEx3Full2}{\hidepaste}
\tab{5}\spadcommand{ans3 . objf\free{ans3 }}
\indentrel{3}\begin{verbatim}
(2) 2.43378751212073
Type: DoubleFloat
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{UXANNAEx3Empty2}
\begin{paste}{UXANNAEx3Empty2}{UXANNAEx3Patch2}
\pastebutton{UXANNAEx3Empty2}{\showpaste}
\tab{5}\spadcommand{ans3 . objf\free{ans3 }}
\end{paste}\end{patch}
\begin{patch}{UXANNAEx3Patch3}
\begin{paste}{UXANNAEx3Full3}{UXANNAEx3Empty3}
\pastebutton{UXANNAEx3Full3}{\hidepaste}
\tab{5}\spadcommand{ans3 . x\free{ans3 }}
\indentrel{3}\begin{verbatim}
(3)
[1.0 - 0.0852325900999037 0.409303588204477 1.0]
Type: Matrix DoubleFloat
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{UXANNAEx3Empty3}
\begin{paste}{UXANNAEx3Empty3}{UXANNAEx3Patch3}
\pastebutton{UXANNAEx3Empty3}{\showpaste}
\tab{5}\spadcommand{ans3 . x\free{ans3 }}
\end{paste}\end{patch}
\begin{patch}{UXANNAEx3Patch4}
\begin{paste}{UXANNAEx3Full4}{UXANNAEx3Empty4}
\pastebutton{UXANNAEx3Full4}{\hidepaste}
\tab{5}\spadcommand{ans3 . attributes\free{ans3 }}
\indentrel{3}\begin{verbatim}
(4)
["The object function is non-linear",
"There are simple bounds on the variables",
"There are no constraint functions"]
Type: List String
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{UXANNAEx3Empty4}
\begin{paste}{UXANNAEx3Empty4}{UXANNAEx3Patch4}
\pastebutton{UXANNAEx3Empty4}{\showpaste}
\tab{5}\spadcommand{ans3 . attributes\free{ans3 }}
\end{paste}\end{patch}
\begin{patch}{UXANNAAgentPatch1}
\begin{paste}{UXANNAAgentFull1}{UXANNAAgentEmpty1}
\pastebutton{UXANNAAgentFull1}{\hidepaste}
\tab{5}\spadcommand{s := singularitiesOf(tan x,[x],0..12*\%pi)$ESCONT\free{lib3 }}
\indentrel{3}\begin{verbatim}
(1)
[1.5707963267948966, 4.7123889803846897,
7.8539816339744828, 10.995574287564276,
14.137166941154069, 17.27875959474386,
20.420352248333657, 23.561944901923447,
26.703537555513243, 29.845130209103033, ...]
Type: Stream DoubleFloat
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{UXANNAAgentEmpty1}
\begin{paste}{UXANNAAgentEmpty1}{UXANNAAgentPatch1}
\pastebutton{UXANNAAgentEmpty1}{\showpaste}
\tab{5}\spadcommand{s := singularitiesOf(tan x,[x],0..12*\%pi)$ESCONT\free{lib3 }}
\end{paste}\end{patch}
|
