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subexpr - Rewrite symbolic expression in terms of common subexpressions

Syntax

[Y, SIGMA] = subexpr(X, SIGMA)
[Y, SIGMA] = subexpr(X, 'SIGMA')

Description

[Y, SIGMA] = subexpr(X, SIGMA) or [Y, SIGMA] = subexpr(X, 'SIGMA') rewrites the symbolic expression X in terms of its common subexpressions.

Examples

The statements

h = solve('a*x^3+b*x^2+c*x+d = 0');
[r,s] = subexpr(h,'s')

return the rewritten expression for t in r in terms of a common subexpression, which is returned in s:

r = 
                                   s^(1/3) - b/(3*a) - (c/(3*a) - b^2/(9*a^2))/s^(1/3)
 (c/(3*a) - b^2/(9*a^2))/(2*s^(1/3)) - s^(1/3)/2 - b/(3*a) - (3^(1/2)*i*(s^(1/3) + ...
     (c/(3*a) - b^2/(9*a^2))/s^(1/3)))/2
 (c/(3*a) - b^2/(9*a^2))/(2*s^(1/3)) - s^(1/3)/2 - b/(3*a) + (3^(1/2)*i*(s^(1/3) + ...
     (c/(3*a) - b^2/(9*a^2))/s^(1/3)))/2
 
s = 
((d/(2*a) + b^3/(27*a^3) - (b*c)/(6*a^2))^2 + (c/(3*a) - b^2/(9*a^2))^3)^(1/2) - ...
 b^3/(27*a^3) - d/(2*a) + (b*c)/(6*a^2)

See Also

pretty, simple, subs

  


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