Gossage

325 days ago by zigong

vector(list(e^(-k/4) for k in (0..15))) 
        
\left(1,{e}^{-\frac{1}{4}} ,\frac{1}{\sqrt{ e }},{e}^{-\frac{3}{4}} ,{e}^{-1} ,{e}^{-\frac{5}{4}} ,{e}^{-\frac{3}{2}} ,{e}^{-\frac{7}{4}} ,{e}^{-2} ,{e}^{-\frac{9}{4}} ,{e}^{-\frac{5}{2}} ,{e}^{-\frac{11}{4}} ,{e}^{-3} ,{e}^{-\frac{13}{4}} ,{e}^{-\frac{7}{2}} ,{e}^{-\frac{15}{4}} \right)
e^2 
        
{e}^{2}
ln(e) 
        
1
ln(e^10) 
        
10
v=vector(list(k^2 for k in (0..10))) 
       
v 
        
\left(0,1,4,9,16,25,36,49,64,81,100\right)
v[2] 
        
4
v[9] 
        
81
v[0] 
        
0
plot(v) 
       
w=vector([0,1,0,0,2,1,0,0,1]) 
       
w 
        
\left(0,1,0,0,2,1,0,0,1\right)
plot(w) 
       
sin(pi) # ceci est un commentaire 
        
0
sum(k for k in (1..3)) 
        
6
sum(e^(2*pi*i*k/3) for k in (0..2)) 
        
0
sum(2*k-1 for k in (1..2)) 
        
4
list(2*k-1 for k in (1..10)) 
        
\left[1, 
 3, 
 5, 
 7, 
 9, 
 11, 
 13, 
 15, 
 17, 
 19\right]
list(sum(2*k-1 for k in (1..n)) for n in (1..10)) 
        
\left[1, 
 4, 
 9, 
 16, 
 25, 
 36, 
 49, 
 64, 
 81, 
 100\right]
f(x)=x^2 
       
map(f, [1,2,3,4]) 
        
\left[1, 
 4, 
 9, 
 16\right]
pi 
        
\pi
sqrt(-1) 
        
i
1/0 
        
Traceback (click to the left of this block for traceback)
...
ZeroDivisionError: Rational division by zero
1+(3+2 
        
line 4
    _sage_const_1 +(_sage_const_3 +_sage_const_2
                                               
^
SyntaxError: invalid syntax
list( k/10 for k in (0..9)) 
        
\begin{array}{l}[0,\\
\frac{1}{10},\\
\frac{1}{5},\\
\frac{3}{10},\\
\frac{2}{5},\\
\frac{1}{2},\\
\frac{3}{5},\\
\frac{7}{10},\\
\frac{4}{5},\\
\frac{9}{10}]\end{array}
v1=vector([2,3]) 
       
v1 
        
\left(2,3\right)
v2=vector([-2,1]) 
       
v2 
        
\left(-2,1\right)
v1+v2 
        
\left(0,4\right)
2*v1 
        
\left(4,6\right)
v1*v2 
        
-1
plot(v1)+plot(v2) 
       
B=[ vector([1,0]), vector([0,1])] 
       
B 
        
\left[\left(1,0\right), 
 \left(0,1\right)\right]
B[0] 
        
\left(1,0\right)
B[1] 
        
\left(0,1\right)
B[0]*B[1] 
        
0
B[0]*B[0] 
        
1
v=vector([3,-4]) 
       
v 
        
\left(3,-4\right)
3*B[0]+(-4)*B[1] 
        
\left(3,-4\right)
v*B[1]/abs(B[1]) 
        
-4
v1=vector([i,1]) 
       
abs(v1) 
        
0
v1*v1 
        
0
scalar 
       
def conj(v): return vector(map(lambda z:z.conjugate(),v)) # Definition du conjugé d'un vecteur complexe 
       
def produit_scalaire(v,w): return v*conj(w) # Definition du produit scalaire de vecteurs complexes 
       
v=vector([i,0,0]) 
       
w=vector([0,1,1]) 
       
u=vector([1,1,1]) 
       
produit_scalaire(v,vector([3,-1,2])) 
        
{3 i}
[1,2]+[3,4] 
        
\left[1, 
 2, 
 3, 
 4\right]
 
        
Traceback (click to the left of this block for traceback)
...
IndexError: list index out of range