초등수학

2020 days 전, whwnqjq119 작성

p1=plot(x*sin(3/x), x, -0.5,0, color='blue') p2=plot(x*sin(3/x), x, 0,0.5, color='red') show(p1+p2, ymax=0.3, ymin=-0.3, aspect_ratio=1) 
       
plot(Piecewise([[(0,1),x^2+2*x],[(1,2),3],[(2,3),x^2+2]])) 
       
limit(x*sin(3/x), x=0) 
       
0
0
1/2 in ZZ 
       
False
False
1 in ZZ 
       
True
True
show(solve(3*x+5==-5-3*x, x)) 
       
1 in CC 
       
True
True
not True 
       
False
False
not False 
       
True
True
False and False 
       
False
False
True or True 
       
True
True
1 != 1 
       
False
False
5^3 < 2^9 
       
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 
       
False
False
x > 1/2 
       
x > (1/2)
x > (1/2)
s=14 s+24 
       
38
38
t=24 
       
       
24
24
t+2 
       
26
26
t,s,y = 25, 53, 64 
       
24*t + 23*s + 34*y 
       
3098
3098
14 // 7 
       
2
2
14 % 7 
       
0
0
A = Set([2,3,3,3,2,1,8,6,3]) 
       
       
{8, 1, 2, 3, 6}
{8, 1, 2, 3, 6}
A.cardinality() 
       
5
5
9*2 
       
18
18
p1=plot(x*sin(3/x), x, -.5,0, color='gold') p2=plot(x*sin(3/x), x, 0,.5, color='olivedrab') show(p1+p2, ymax=0.5, ymin=-0.5, aspect_ratio=1) 
       
956 // 98 
       
9
9
956 % 98 
       
74
74
3.divides(2345878) 
       
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]
491.is_prime() 
       
True
True
44647684687436534183465795426138544384359487254.is_prime() 
       
False
False
[0, pi/4..pi] 
       
[0, 1/4*pi, 1/2*pi, 3/4*pi, pi]
[0, 1/4*pi, 1/2*pi, 3/4*pi, pi]
show(108 / 72) 
       
divmod(245,42) 
       
(5, 35)
(5, 35)
44647684687436534183465795426138544384359487254.divisors() 
       
[1, 2, 37, 74, 603347090370763975452240478731601951139993071,
1206694180741527950904480957463203902279986142,
22323842343718267091732897713069272192179743627,
44647684687436534183465795426138544384359487254]
[1, 2, 37, 74, 603347090370763975452240478731601951139993071, 1206694180741527950904480957463203902279986142, 22323842343718267091732897713069272192179743627, 44647684687436534183465795426138544384359487254]
lcm(543854,5874354) 
       
1597395460158
1597395460158
factor(62) 
       
2 * 31
2 * 31
gcd(2,5) 
       
1
1
gcd(4,10) 
       
2
2
gcd(18,51) 
       
3
3
lcm(2,5) 
       
10
10
lcm(4,10) 
       
20
20
lcm(18,51) 
       
306
306
divmod(956,98) 
       
(9, 74)
(9, 74)
abs(-10-425) 
       
435
435