-I -I |
True True |
1.41421356237310 1.41421356237310 |
False False |
False False |
True True |
True True |
True True |
(I + 1) >= (-I + 2) (I + 1) >= (-I + 2) |
True True |
False False |
x > (1/2) x > (1/2) |
|
12 12 |
60 60 |
|
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 |
(1, 1) (1, 1) |
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 |
13 13 |
|
x |--> x^2 + x + 1 x |--> x^2 + x + 1 |
[6, 28, 496, 8128] [6, 28, 496, 8128] |
[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, 6, 8, 10, 12, 14, 16, 18, 20] [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] |
[1, 4, 7, 10, 13] [1, 4, 7, 10, 13] |
[1, 11, 21, 31] [1, 11, 21, 31] |
[pi, 4*pi, 7*pi, 10*pi] [pi, 4*pi, 7*pi, 10*pi] |
x^2 + x + 1 x^2 + 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 |
|
|
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 |
|
5 5 |
True True |
{17, 20, 6, 8, -4, -2} {17, 20, 6, 8, -4, -2} |
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 |
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) |
1 1 |
Infinity Infinity |
-1 -1 |
0 0 |
{18, 3, 6, 9, 12, 15} {18, 3, 6, 9, 12, 15} |
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' |
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 |
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 |
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 |
64 64 |
[0, 1] [0, 1] |
[0, 1/2*sqrt(2)] [0, 1/2*sqrt(2)] |
9 9 |
74 74 |
|