# komya

## 587 days ago by komakale

sin(y)
 Traceback (click to the left of this block for traceback) ... NameError: name 'y' is not defined Traceback (most recent call last): File "", line 1, in File "_sage_input_2.py", line 10, in exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("c2luKHkp"),globals())+"\\n"); execfile(os.path.abspath("___code___.py")) File "", line 1, in File "/tmp/tmpLisdQD/___code___.py", line 2, in exec compile(u'sin(y) File "", line 1, in NameError: name 'y' is not defined
var('y')
 y y
sin(y)
 sin(y) sin(y)
var('x,alpha,y,beta') x^2/alpha^2+y^2/beta^2
 x^2/alpha^2 + y^2/beta^2 x^2/alpha^2 + y^2/beta^2
var('theta') sin(theta)*sin(theta)+cos(theta)*cos(theta)
 cos(theta)^2 + sin(theta)^2 cos(theta)^2 + sin(theta)^2
n(pi) n(e) n(oo)
 +infinity +infinity
n(pi,digits=20)
 3.1415926535897932385 3.1415926535897932385
sin(pi/2)
 1 1
arctan(00)
 0 0
n(pi^2,digits=6)
 9.86961 9.86961
var('x') h(x)=x^2 g(x)=1 f=piecewise([[(0,1),h(x)],[(1,2),g(x)]],x) f
 Piecewise defined function with 2 parts, [[(0, 1), x |--> x^2], [(1, 2), x |--> 1]] Piecewise defined function with 2 parts, [[(0, 1), x |--> x^2], [(1, 2), x |--> 1]]
phi=var('phi') find_root(cos(phi)==sin(phi),0,pi/2)
 0.7853981633974484 0.7853981633974484
var('x,y,z') a=matrix([[x,0,1],[y,1,0],[z,0,y]]) a
 [x 0 1] [y 1 0] [z 0 y] [x 0 1] [y 1 0] [z 0 y]
a.inverse()
 [ 1/x + z/(x^2*(y - z/x)) 0 -1/(x*(y - z/x))] [-y/x - y*z/(x^2*(y - z/x)) 1 y/(x*(y - z/x))] [ -z/(x*(y - z/x)) 0 1/(y - z/x)] [ 1/x + z/(x^2*(y - z/x)) 0 -1/(x*(y - z/x))] [-y/x - y*z/(x^2*(y - z/x)) 1 y/(x*(y - z/x))] [ -z/(x*(y - z/x)) 0 1/(y - z/x)]
t=varG=Graph({0:[1,2,3],2:[4]}) G.show()
t=var('t') p1=plot(e^(-t)*sin(2*t),(t,0,15show(p1)
@interact def plot_damped(n=(1..10)): t= var('t') p1=plot(e^(-t/n)* sin(2*t), (t,0,20)) show(p1)

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