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Scilab Help >> Polynomials > rational

# rational

Scilab objects, rational in Scilab

### Description

A rational `r` is a quotient of two polynomials `r=num/den`. The internal representation of a rational is a list. `r=tlist(['r','num','den','dt'],num,den,[])` is the same as `r=num/den`. A rational matrix can be defined with the usual syntax e.g. `[r11,r12;r21,r22]` is a 2x2 matrix where `rij` are 1x1 rationals. A rational matrix can also be defined as above as a list `rlist(num,den,[])` with `num` and `den` polynomial matrices.

### Examples

```s=poly(0,'s');
W=[1/s,1/(s+1)]
W'*W
Num=[s,s+2;1,s];Den=[s*s,s;s,s*s];
rlist(Num,Den,[])
H=Num./Den
syslin('c',Num,Den)
syslin('c',H)
[Num1,Den1]=simp(Num,Den)```

• poly — polynomial definition
• syslin — linear system definition
• simp — rational simplification