Hi,
I am trying to solve the following equation:
sage: f(x)=((1-0.15)/(1-0.15+(0.15/(1-x*0.15)^22)))^3-x
sage: solve(f,x)
This gives me the following error, which doesn't make much sense to me.
---------------------------------------------------------------------------
TypeError Traceback (most recent call
last)
/Users/geg/<ipython console> in <module>()
/Applications/sage/local/lib/python2.6/site-packages/sage/symbolic/
relation.pyc in solve(f, *args, **kwds)
478 """
479 try:
--> 480 return f.solve(*args,**kwds)
481 except AttributeError:
482 from sage.symbolic.ring import is_SymbolicVariable
/Applications/sage/local/lib/python2.6/site-packages/sage/symbolic/
expression.so in sage.symbolic.expression.Expression.solve (sage/
symbolic/expression.cpp:22150)()
/Applications/sage/local/lib/python2.6/site-packages/sage/interfaces/
expect.pyc in __call__(self, *args, **kwds)
1380
1381 def __call__(self, *args, **kwds):
-> 1382 return self._obj.parent().function_call(self._name,
[self._obj] + list(args), kwds)
1383
1384 def help(self):
/Applications/sage/local/lib/python2.6/site-packages/sage/interfaces/
expect.pyc in function_call(self, function, args, kwds)
1288 [s.name() for s in
args],
1289 ['%s=%s'%
(key,value.name()) for key, value in kwds.items()])
-> 1290 return self.new(s)
1291
1292 def _function_call_string(self, function, args, kwds):
/Applications/sage/local/lib/python2.6/site-packages/sage/interfaces/
expect.pyc in new(self, code)
1084
1085 def new(self, code):
-> 1086 return self(code)
1087
1088
###################################################################
/Applications/sage/local/lib/python2.6/site-packages/sage/interfaces/
expect.pyc in __call__(self, x, name)
1019
1020 if isinstance(x, basestring):
-> 1021 return cls(self, x, name=name)
1022 try:
1023 return self._coerce_from_special_method(x)
/Applications/sage/local/lib/python2.6/site-packages/sage/interfaces/
expect.pyc in __init__(self, parent, value, is_name, name)
1423 except (TypeError, KeyboardInterrupt,
RuntimeError, ValueError), x:
1424 self._session_number = -1
-> 1425 raise TypeError, x
1426 self._session_number = parent._session_number
1427
TypeError: Error executing code in Maxima
CODE:
sage14 : to_poly_solve(sage10,sage13)$
Maxima ERROR:
Assuming that
2.572052771128644e
-55
*x
^
66
-1.131703219296603e
-52
*x
^
65
+
2.452023641809308e
-50
*x
^
64
-3.487322512795459e
-48
*x
^
63
+
3.661688638435233e
-46
*x
^
62
-3.02699594110646e
-44
*x
^
61
+
2.05163058230549e
-42
*x
^
60
-1.172360332745994e
-40
*x
^
59
+
5.764104969334469e
-39
*x
^
58
-2.476430283121475e
-37
*x
^
57
+
9.410435075861606e
-36
*x
^
56
-3.193844631807575e
-34
*x
^
55
+
9.758969708300927e
-33
*x
^
54
-2.702483919221794e
-31
*x
^
53
+
6.820554653274052e
-30
*x
^
52
-1.576305964312226e
-28
*x
^
51
+
3.34965017416348e
-27
*x
^
50
-6.567941517967608e
-26
*x
^
49
+
1.191959756964492e
-24
*x
^
48
-2.007511169624407e
-23
*x
^
47
+
3.145100832411571e
-22
*x
^
46
-4.592845660029597e
-21
*x
^
45
+
6.262971354585815e
-20
*x
^
44
-7.987557669616691e
-19
*x
^
43
+
9.540693883153281e
-18
*x
^
42
-1.068557714913174e
-16
*x
^
41
+
1.123355546447224e
-15
*x
^
40
-1.10948695945426e
-14
*x
^
39
+
1.030237890922699e
-13
*x
^
38
-8.999779277056846e
-13
*x
^
37
+
7.399818516783484e
-12
*x
^
36
-5.72889175516733e
-11
*x
^
35
+
4.177316905347902e
-10
*x
^
34
-2.8692681784864726e
-9
*x
^
33
+
1.8565852938761138e
-8
*x
^
32
-1.1316329440808763e
-7
*x
^
31
+
6.496411389445956e
-7
*x
^
30
-3.5115737808419006e
-6
*x
^
29
+
1.786590236047529e
-5*x^28-8.551201844988561e-5*x^27+3.848041527553564e-4*x^26-.
001626814924957227*x^25+.006455619830316614*x^24-.
02402094856854791*x^23+.08370962213783728*x^22-.2728329566931009*x^21+.
8303702781628282
*x
^
20
-2.355707893620063
*x
^
19
+
6.216678118439924
*x
^
18
-15.22550497577382
*x
^
17
+
34.51506024624435
*x
^
16
-72.20248123719546
*x
^
15
+
138.897086824694
*x
^
14
-244.7350019836468
*x
^
13
+
393.1470391342294
*x
^
12
-572.7129912818109
*x
^
11
+
751.8090164270538
*x
^
10
-882.7296150886173
*x
^
9
+
918.7738209313588
*x
^
8
-838.4801227519146
*x
^
7
+
661.7724868308338
*x
^
6
-443.7020662052342
*x^5+246.62875545*x^4-109.676271375*x^3+36.8577*x^2-8.415*x+1.0 # 0
`allroots': not a polynomial:
errexp1
#0: to_poly_solve(e=.6141249999999999/(0.15/(1-0.15*x)^22+0.85)^3-x =
0,vars=x)(topoly_solver.mac line 15)
I can solve this equation using Mathematica, but would prefer to use
sage. Any ideas ?
regards,
Geir Egeland
phone +47 906 40 507
email: geir.egel...@gmail.com
PhD Candidate
University of Stavanger
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