plot(Piecewise([[(0,1),x^2],[(1,2),1],[(2,3),x^2-3]]))
|
|
1 in ZZ
True True |
sqrt(2) in QQ
False False |
i^2
-1 -1 |
QQ(.5)
1/2 1/2 |
not True
False False |
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) # ^^ xor 배타적 논리합
False False |
x > 1/2
x > (1/2) x > (1/2) |
s=12
|
|
s
12 12 |
t=7
|
|
t=t+1
|
|
t
8 8 |
a,b=1,2
|
|
a
1 1 |
b
2 2 |
c,d,e=2,3,5
|
|
c,d,e
(2, 3, 5) (2, 3, 5) |
x^2 + x + 1
13 13 |
[6,28,496,8128]
[6, 28, 496, 8128] [6, 28, 496, 8128] |
[1..7]
[1, 2, 3, 4, 5, 6, 7] [1, 2, 3, 4, 5, 6, 7] |
[1,4..13]
[1, 4, 7, 10, 13] [1, 4, 7, 10, 13] |
[1,11..31]
[1, 11, 21, 31] [1, 11, 21, 31] |
A
{8, 1, 2, 3, 6}
{8, 1, 2, 3, 6}
|
A = Set([2,3,3,3,2,1,8,6,3])
|
|
A
{8, 1, 2, 3, 6}
{8, 1, 2, 3, 6}
|
A.cardinality()
5 5 |
8 in A
True True |
10 in A
False False |
B = Set([8,6,17,-4,20, -2 ])
|
|
A.union(B)
{1, 2, 3, 6, 8, 17, 20, -4, -2}
{1, 2, 3, 6, 8, 17, 20, -4, -2}
|
A.intersection(B)
{8, 6}
{8, 6}
|
A.difference(B)
{1, 2, 3}
{1, 2, 3}
|
A.symmetric_differenc
Traceback (click to the left of this block for traceback) ... AttributeError: 'Set_object_enumerated_with_category' object has no attribute 'symmetric_differenc' Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "_sage_input_45.py", line 10, in <module>
exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("QS5zeW1tZXRyaWNfZGlmZmVyZW5j"),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
File "", line 1, in <module>
File "/tmp/tmpbDKl0X/___code___.py", line 2, in <module>
exec compile(u'A.symmetric_differenc
File "", line 1, in <module>
File "parent.pyx", line 761, in sage.structure.parent.Parent.__getattr__ (sage/structure/parent.c:6823)
File "misc.pyx", line 251, in sage.structure.misc.getattr_from_other_class (sage/structure/misc.c:1606)
AttributeError: 'Set_object_enumerated_with_category' object has no attribute 'symmetric_differenc'
|
[tan(x) for x in[0, pi/4..pi]]
[0, 1, Infinity, -1, 0] [0, 1, Infinity, -1, 0] |
|
|
divmod(14,4)
(3, 2) (3, 2) |
3.divides(15)
True True |
12.divisors()
[1, 2, 3, 4, 6, 12] [1, 2, 3, 4, 6, 12] |
(2^19-1).is_prime()
True True |
153.is_prime()
False False |
63.factor()
3^2 * 7 3^2 * 7 |
divmod(956,98)
(9, 74) (9, 74) |
3.divides(234878)
False False |
134.divisors()
[1, 2, 67, 134] [1, 2, 67, 134] |
491.divisors()
[1, 491] [1, 491] |
422.divisors()
[1, 2, 211, 422] [1, 2, 211, 422] |
1002.divisors()
[1, 2, 3, 6, 167, 334, 501, 1002] [1, 2, 3, 6, 167, 334, 501, 1002] |
134.prime_divisors()
[2, 67] [2, 67] |
491.prime_divisors()
[491] [491] |
422.prime_divisors()
[2, 211] [2, 211] |
1002.prime_divisors()
[2, 3, 167] [2, 3, 167] |
g=gcd(18, 51)
|
|
l=lcm(18,51)
|
|
g*l==18*51
True True |
min(1/2,1/3)
1/3 1/3 |
abs(-10)
10 10 |
abs(4)
4 4 |
|
|