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2411 days 전, se19un 작성

i^3 
        
-I
-I
I in CC 
        
True
True
RR(sqrt(2)) 
        
1.41421356237310
1.41421356237310
not True 
        
False
False
(True or False) and False 
        
False
False
1 != 0 
        
True
True
not (True or False) == (False and True) 
        
True
True
1 >= 1 
        
True
True
1 + i >= 2 - i 
        
(I + 1) >= (-I + 2)
(I + 1) >= (-I + 2)
((3/2) > 1) or (2/3 < 1) 
        
True
True
((3/2) > 1) ^^ (2/3 < 1) 
        
False
False
x > 1/2 
        
x > (1/2)
x > (1/2)
s=12 
       
s 
        
12
12
s+30 
        
60
60
a,b=1,2 
       
a=1,b=2 
        
Traceback (click to the left of this block for traceback)
...
TypeError: 'sage.rings.integer.Integer' object is not iterable
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_20.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("YT0xLGI9Mg=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpXEhRR4/___code___.py", line 3, in <module>
    exec compile(u'a=_sage_const_1 ,b=_sage_const_2 
  File "", line 1, in <module>
    
TypeError: 'sage.rings.integer.Integer' object is not iterable
a = b = 1 a,b 
        
(1, 1)
(1, 1)
f(x) = x^2 + 4x + 3 
        
Traceback (click to the left of this block for traceback)
...
SyntaxError: invalid syntax
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_40.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("Zih4KSA9IHheMiArIDR4ICsgMw=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpJI75Pq/___code___.py", line 3
    __tmp__=var("x"); f = symbolic_expression(x**_sage_const_2  + 4x + _sage_const_3 ).function(x)
                                                                   ^
SyntaxError: invalid syntax
f(3) 
        
13
13
show(f(x)) 
       
f 
        
x |--> x^2 + x + 1
x |--> x^2 + x + 1
[6,28,496,8128] 
        
[6, 28, 496, 8128]
[6, 28, 496, 8128]
[1..37] 
        
[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]
[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]
[2,4..20] 
        
[2, 4, 6, 8, 10, 12, 14, 16, 18, 20]
[2, 4, 6, 8, 10, 12, 14, 16, 18, 20]
[1,4..13] 
        
[1, 4, 7, 10, 13]
[1, 4, 7, 10, 13]
[1,11..35] 
        
[1, 11, 21, 31]
[1, 11, 21, 31]
[pi,4*pi..32] 
        
[pi, 4*pi, 7*pi, 10*pi]
[pi, 4*pi, 7*pi, 10*pi]
x^2 + x + 1 
        
x^2 + x + 1
x^2 + x + 1
show(f) 
       
f = x^(x^2) + 8*x + 15 
       
show(f) 
       
f = x^(t + 1) + x + 1 
        
Traceback (click to the left of this block for traceback)
...
NameError: name 't' is not defined
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_64.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZiA9IHheKHQgKyAxKSArIHggKyAx"),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpHyFqzC/___code___.py", line 3, in <module>
    exec compile(u'f = x**(t + _sage_const_1 ) + x + _sage_const_1 
  File "", line 1, in <module>
    
NameError: name 't' is not defined
f = 8*x^3+3*x^2+3*x+1 
       
show(f) 
       
ev 
        
Traceback (click to the left of this block for traceback)
...
NameError: name 'ev' is not defined
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_69.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZXY="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpLnnKyS/___code___.py", line 2, in <module>
    exec compile(u'ev
  File "", line 1, in <module>
    
NameError: name 'ev' is not defined
A = Set([2,3,3,3,2,1,8,6,3]) 
       
A.cardinality() 
        
5
5
8 in A 
        
True
True
Set([8,6,17,-4,20, -2 ]) 
        
{17, 20, 6, 8, -4, -2}
{17, 20, 6, 8, -4, -2}
po A.intersection(B) 교집합 
        
Traceback (click to the left of this block for traceback)
...
SyntaxError: invalid syntax
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_75.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("cG8gQS5pbnRlcnNlY3Rpb24oQikg6rWQ7KeR7ZWp"),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmp0CxnFE/___code___.py", line 2
    po A.intersection(B) 교집합
       ^
SyntaxError: invalid syntax
pi(0) 
        
Traceback (click to the left of this block for traceback)
...
ValueError: the number of arguments must be less than or equal to 0
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_77.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("cGkoMCk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpdng1h7/___code___.py", line 3, in <module>
    exec compile(u'pi(_sage_const_0 )
  File "", line 1, in <module>
    
  File "expression.pyx", line 4231, in sage.symbolic.expression.Expression.__call__ (sage/symbolic/expression.cpp:20634)
  File "ring.pyx", line 683, in sage.symbolic.ring.SymbolicRing._call_element_ (sage/symbolic/ring.cpp:7633)
ValueError: the number of arguments must be less than or equal to 0
tan(x) 
        
tan(x)
tan(x)
tan(pi/4) 
        
1
1
tan(pi/2) 
        
Infinity
Infinity
tan(3*pi/4) 
        
-1
-1
tan(pi) 
        
0
0
 
        
{18, 3, 6, 9, 12, 15}
{18, 3, 6, 9, 12, 15}
M.subsets(). powA 
        
Traceback (click to the left of this block for traceback)
...
AttributeError: 'Subsets_s_with_category' object has no attribute 'powA'
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_112.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("TS5zdWJzZXRzKCkuIHBvd0E="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpvIv24Y/___code___.py", line 2, in <module>
    exec compile(u'M.subsets(). powA
  File "", line 1, in <module>
    
  File "parent.pyx", line 765, in sage.structure.parent.Parent.__getattr__ (sage/structure/parent.c:6900)
  File "misc.pyx", line 251, in sage.structure.misc.getattr_from_other_class (sage/structure/misc.c:1606)
AttributeError: 'Subsets_s_with_category' object has no attribute 'powA'
A.subsets(); powA 
        
Subsets of {18, 3, 6, 9, 12, 15}
Traceback (click to the left of this block for traceback)
...
NameError: name 'powM' is not defined
Subsets of {18, 3, 6, 9, 12, 15}
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_96.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("TS5zdWJzZXRzKCk7IHBvd00="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmp3mOYaq/___code___.py", line 2, in <module>
    exec compile(u'M.subsets(); powM
  File "", line 1, in <module>
    
NameError: name 'powM' is not defined
M.subsets(); powM 
        
Subsets of {18, 3, 6, 9, 12, 15}
Traceback (click to the left of this block for traceback)
...
NameError: name 'powM' is not defined
Subsets of {18, 3, 6, 9, 12, 15}
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_97.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("TS5zdWJzZXRzKCk7IHBvd00="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpyspcEy/___code___.py", line 2, in <module>
    exec compile(u'M.subsets(); powM
  File "", line 1, in <module>
    
NameError: name 'powM' is not defined
powM.list() 
        
Traceback (click to the left of this block for traceback)
...
NameError: name 'powM' is not defined
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_98.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("cG93TS5saXN0KCk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpfcuizl/___code___.py", line 2, in <module>
    exec compile(u'powM.list()
  File "", line 1, in <module>
    
NameError: name 'powM' is not defined
M.subsets(). cardinality() 
        
64
64
[tan(x) for x in [0,pi/4]] 
        
[0, 1]
[0, 1]
[sin(x) for x in [0, pi/4]] 
        
[0, 1/2*sqrt(2)]
[0, 1/2*sqrt(2)]
956//98 
        
9
9
956%98 
        
74
74