2531.sagews

a=5

a

5

2==2

True

2>3

False

money=10000

years=0

while money<20000

Traceback (most recent call last): File "<stdin>", line 1, in <module> File "_sage_input_18.py", line 10, in <module> exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("d2hpbGUgbW9uZXk8MjAwMDA="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single') File "", line 1, in <module> File "/tmp/tmpaIt9QS/___code___.py", line 3 while money<_sage_const_20000 ^ SyntaxError: invalid syntax

years=years+1

money=money*1.069

years

1

money

10690.0000000000

x=y=z=123

x

123

y

123

z

123

n=var('n')

a_n=(1+1/n)**n

a_n.limit(n=00)

1

limit(sin(n*pi/3),n=00)

0

x=var('x')

diff(sin(x),x)

cos(x)

diff(sin(x),x,2)

-sin(x)

x,y=var('x,y')

f=sin(x*y)

taylor(f,(x,0),(y,-1),4)

-1/2*(y + 1)*x^3 + 1/6*x^3 + (y + 1)*x - x

plot(sin,(0,2*pi),color='red')

p=plot(sin(x),color=hue(1.0))

for a in range(2,8+1):

Traceback (most recent call last): File "<stdin>", line 1, in <module> File "_sage_input_50.py", line 10, in <module> exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("Zm9yIGEgaW4gcmFuZ2UoMiw4KzEpOg=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single') File "", line 1, in <module> File "/tmp/tmpZIslj7/___code___.py", line 4 ^ IndentationError: expected an indented block

p+=plot(sin(a*x),color=hue(1.0/a))

p.show(xmin=-1,xmax=1,ymin=-1,ymax=1)

var('x,y')

(x, y)

plot3d(x^2/16-y^2/9,(x,-10,10),(y,-10,10))

m1=matrix(ZZ,[[1,2,3,],[4,5,6]])

m1.parent()

Full MatrixSpace of 2 by 3 dense matrices over Integer Ring

m1

[1 2 3] [4 5 6]

m1/2

[1/2 1 3/2] [ 2 5/2 3]

m2=matrix(QQ,[[1,2,3,],[4,5,6]])

m2.parent()

Full MatrixSpace of 2 by 3 dense matrices over Rational Field

m2

[1 2 3] [4 5 6]

m2/2

[1/2 1 3/2] [ 2 5/2 3]

m3=matrix(RR,[[1,2,3,],[4,5,6]])

m3.parent()

Full MatrixSpace of 2 by 3 dense matrices over Real Field with 53 bits of precision

m3

[1.00000000000000 2.00000000000000 3.00000000000000] [4.00000000000000 5.00000000000000 6.00000000000000]

m3/2

[0.500000000000000 1.00000000000000 1.50000000000000] [ 2.00000000000000 2.50000000000000 3.00000000000000]

A=matrix(QQ,3,range(9));A

[0 1 2] [3 4 5] [6 7 8]

b=matrix(QQ,3,1,[1,2,3]);b

[1] [2] [3]

(8*a)*b.transpose()

[ 40 80 120]

8*(a*transpose(b))

[ 40 80 120]

x=P1.gen()

759

759

y=matrix(RR,[[1,2],[3,4]]);y

[1.00000000000000 2.00000000000000] [3.00000000000000 4.00000000000000]

p(y)

Traceback (most recent call last): File "<stdin>", line 1, in <module> File "_sage_input_88.py", line 10, in <module> exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("cCh5KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single') File "", line 1, in <module> File "/tmp/tmpcWlbNQ/___code___.py", line 2, in <module> exec compile(u'p(y)' + '\n', '', 'single') File "", line 1, in <module> TypeError: 'Graphics' object is not callable

lam=2

var('x')

x

p1=plot(lam*e^(-lam*x),(x,0,10))

p2=plot(1-e^(-lam*x),(x,0,10),linestyle="-.")

p=p1+p2

p.show()