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y:=x->x^2;
y(2);
f:=(x,y)->x^3-3*x*y^2;
s:=x-> if x<1 then -1 elif x=1 then 0 else 1 fi;
s:=x->piecewise(x<1,-1,x=1,0,x>1,1);
vzorec:=(b^2*x^2*sin(b*x)-2*sin(b*x)+2*b*x*cos(b*x)*a*t)/b^3:
F:=unapply(vzorec, x, t);
map(x->x^2, a+b+c);
eqn:=(x-1)*(x^2+x+1);
sol:=solve(eqn, x);
eval(eqn, x=sol[1]);expand(eval(eqn, x=sol[2]));
solve({x+2*y=3, y+1/x=1}, {x,y});
solve(x^3+4*x^2+2*x-1>0, {x});
r:=x^7-2*x^6-4*x^5-x^3+x^2+6*x+4;
fsolve(r);
fsolve(r, x,complex):
fsolve(r,x,0..2);
1.167303978
fsolve(sin(x), x=3);
3.141592654
y(x)=x ^2; y(x) ; y (2)
x2
4
f (x , y)=x^3 -3*x*y ^2; f (x , y)
x3
− 3 xy2
def s (x) :
i f x<1: return -1
e l i f (x==1) : return 0
e l s e : return 1
s=piecewise ( [ [ ( - i n f i n i t y , 1 ) , - 1 ] , [ [ 1 , 1 ] , 0 ] , [ ( 1 , i n f i n i t y ) , 1 ] ] , var=x)
var ( 'a , b , t ') ; vzorec=(b^2*x^2* sin (b*x) -2* sin (b*x)+2*b*x* cos (b*x) *a* t ) /b^3
(a, b, t)
F(x , t )=vzorec ;F(x , t )
2 abtx cos (bx) + b2x2 sin (bx) − 2 sin (bx)
b3
var ( 'c') ; f (x)=x ^2;map( f , [ a , b , c ] )
c
[a2
, b2
, c2
]
eqn=(x -1) *(x^2+x+1) ; s o l=solve ( eqn , x) ; s o l
[x = −
1
2
i
√
3 −
1
2
, x =
1
2
i
√
3 −
1
2
, x = 1]
eqn . subs (x=s o l [ 0 ] . rhs () ) . s i m p l i f y _ f u l l () ; eqn . subs (x=s o l [ 1 ] . rhs () ) . s i m p l i f y _ f u l l \
() ;
0
0
solve ( [ x+2*y==3, y+1/x==1], x , y)
[[x = (−1), y = 2], [x = 2, y =
(
1
2
)
]]
r=x^7 -2*x^6 -4*x^5 -x^3+x^2+6*x+4; r
x7
− 2 x6
− 4 x5
− x3
+ x2
+ 6 x + 4
solve ( r , x , to_poly_solve=' f o r c e ')
[x = 1.1673040153, x = −
√
5+1, x =
√
5+1, x = (0.18123244447 − 1.08395410132i), x = (−0.764884433601 − 0.3524
x = (−0.764884433601 + 0.352471546032i), x = (0.18123244447 + 1.08395410132i)]
r . roots ( ring=RR)
[(−1.23606797749979, 1), (1.16730397826142, 1), (3.23606797749979, 1)]
r . roots ( ring=CC)
[(−1.23606797749979, 1), (1.16730397826142, 1), (3.23606797749979, 1), (−0.764884433600585−0.352471546031726i,
1), (−0.764884433600585+0.352471546031726i, 1), (0.181232444469875−1.08395410131771i, 1), (0.181232444469875+
1.08395410131771i, 1)]
find_root ( r , 0 , 2 )
1.16730397826
find_root ( sin (x) ,2 ,4)
3.14159265359