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Question: RE: Rewriting an expression

Question:RE: Rewriting an expression

pik1432 245 Maple
substitution algsubs
June 21 2020
2

Hello all, 

Would you please tell me how to rewrite the expression 'Is_square' like 'Is_square2'?

The way how the first expression is re-written is that both numerator and denominator were divided by 'sigma^2*omega[rK]^2': 

One attempt I made was to use 'algsub' command using the subexpression ''sigma^2*omega[rK]'', but somehow it missed the term in the denominator. 


 

> 

restart;
> 

Is_square := M[dmax]*(sigma^2*omega[rK]^2 + omega[r]^2)*L[sigma]/(3*p*omega[r]*omega[rK]*L[mu]^2*sigma^2);

(1/3)*M[dmax]*(sigma^2*omega[rK]^2+omega[r]^2)*L[sigma]/(p*omega[r]*omega[rK]*L[mu]^2*sigma^2)

 (1)
> 

Is_square2 := M[dmax]*(1 + omega[r]^2/(sigma^2*omega[rK]^2))*L[sigma]/(3*p*omega[r]*L[mu]^2/omega[rK]);

(1/3)*M[dmax]*(1+omega[r]^2/(sigma^2*omega[rK]^2))*L[sigma]*omega[rK]/(p*omega[r]*L[mu]^2)

 (2)
> 

algsubs(omega[rK]*sigma^2=tt, Is_square);

(1/3)*M[dmax]*L[sigma]*(tt*omega[rK]+omega[r]^2)/(p*omega[r]*L[mu]^2*omega[rK]*sigma^2)

 (3)
> 

 


 

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