Scilab
Inttrap(x,y),
x , y , x.
, :
x =2:0.01:5.3 y =2*x./(sin(x)+1.5) integral = inttrap(x,y)disp(integral) | 30.436962 |
Integrate(fun, x, a, b,,er1,er2),
fun , x , a, b , er1,er2 ( ).
, :
z=integrate('2*x./(sin(x)+1.5)', 'x', 2, 5.3)disp(z) | 30.437056 |
:
[integral,err]=intg(a, b, name,er1,er2),
a, b , name ( ), er1,er2 ( ). intg (integral) (err).
deff (' = ()', ' ') , deff('y=F(x)', 'y=2*x./(sin(x)+1.5)').
function = (- )
,
endfunction , function y=f(t) y=t^2/sqrt(3+sin(t)) endfunction function y=f(t),y=t^2/sqrt(3+sin(t)),endfunction.
function y=f(x) y=2*x./(sin(x)+1.5)endfunctionz=intg(2,5.3,f), disp(z) | 30.437056 |
Scilab
Fsolve(x0,f),
x0 , f , f(x)=0.
, :
deff('y=F(x)', 'y=sin(2*x)-cos(3*x.^2)-sin(3*x)')root=fsolve(7,F)disp(root) | 6.9755674 |
roots(a),
n+1(n ).
n.
.
v=[3 1 -10 -8]R=roots(v)disp(R) | 2. - 1.3333333 - 1. |
.
v=[3 1 -10 8]R=roots(v)disp(R) | - 2.2935835 0.9801251 + 0.4494650i 0.9801251 - 0.4494650i |
|
|
roots , poly :
Poly(a, x, f1),
a , x - , f1 , 'c' 'r' ( roots coeff ).
, ,
p=poly([3 -2 1 0 4],'x','c')disp(p) |
:
p=poly([-8 -10 1 3],'x','c')R=roots(p)disp(R) | 2. - 1.3333333 - 1. |
Scilab :
- ;
- .
:
AX=B,
, , :
= \ B
, :
X=inv(A)*B
,
:
A=[3 1;-3 5]; B=[-4;36]; X=inv(A)*B, disp(X) X1=A\B, disp(X1) | - 3.1111111 5.3333333 |
Fsolve(x0,f),
x0 , f ,
, :
function [y]=fun(x) y(1)=2*x(1)+x(2)-6 y(2)=x(1)^2+x(2)^2-14endfunctionX0=[1;1]R=fsolve(X0,fun)disp(R) | 1.2338096 3.5323808 |
1.
. , intg.
1. X, 2,1 4,3 0.01.
2. Y, .
3. inttrap(X, Y).
4. integrate, .
5. deff function
6. , disp.
X =2.1:0.01:4.3 Y =sin(X)/1.5 integral_1 = inttrap(X,Y)integral_2=integrate('sin(x)/1.5', 'x', 2.1, 4.3)disp(integral_1)disp(integral_2) | - 0.0693640 - 0.0693646 |
deff('y=F(x)','y=sin(x)/1.5'); integral_3=intg(2.1,4.3,F)function y= f (x) y=sin(x)/1.5endfunctionintegral_4=intg(2.1,4.3, f)disp(integral_3)disp(integral_4) | - 0.0693646 - 0.0693646 |
3.4.
3.4
2. ,
. . .
1. deff function
|
|
2. fsolve, .
3. , disp.
4. . , . plot. y=0 , , , .
deff('y=F(x)', 'y=sin(x)-cos(x.^2)-sin(2*x)')root=fsolve(1,F)disp(root)x=0.5:0.01:2.5 plot (x,F(x),'-b',root,F(root),'xr',x,0,'-k') | 1.1695683 |
3.5
3.5
1. | ||
2. | ||
3. | ||
4. | ||
5. | ||
6. | ||
7. | ||
8. | ||
9. | ||
10. | ||
11. | ||
12. | ||
13. | ||
14. | ||
15. |
3. ,
. . .
1. ( poly)
2. roots.
3. , disp.
4. . , . plot. y=0 , , , .
v=[2 0 4 -6 -3]R=roots(v)disp(R)root=R(3)x=0.5:0.01:2y=2*x.^4+4*x.^2-6*x-3F_root=2*root^4+4*root^2-6*root-3plot(x,y,'-b',root,F_root,'xr',x,0,'-k') | - 0.4129576 + 1.7282075i - 0.4129576 - 1.7282075i 1.2164706 - 0.3905555 |
3.6.
3.6
1. | |
2. | |
3. | |
4. | |
5. | |
6. | |
7. | |
8. | |
9. | |
10. | |
11. | |
12. | |
13. | |
14. | |
15. |
4.
. .
1.
2. .
3. , , ( ).
4. , disp.
A=[3 1 1;-3 5 6;1 -4 -2]; B=[-4;36;-19]; X=inv(A)*B disp(X) | - 3. 3. 2. |
3.7.
3.7
1. | 2. | ||
3. | 4. | ||
5. | 6. | ||
7. | 8. | ||
9. | 10. | ||
11. | 12. | ||
13. | 14. | ||
15. | 16. |