lncollect(ln(x)+2*ln(y)) returns ln(x*y^2)
powexpand
Rewrites an expression containing a power that is a sum or product as a product of powers. Applies a^(b
+c)=(a^b)*(a^c).
powexpand(Expr)
Example:
powexpand(2^(x+y)) yields (2^x)*(2^y)
texpand
Expands a transcendental expression.
texpand(Expr)
Example:
texpand(sin(2*x)+exp(x+y)) returns exp(x)*exp(y)+ 2*cos(x)*sin(x))
Rewrite – Exp & Ln
e
y*lnx
→ x
y
Returns an expression of the form e
n*ln(x)
rewritten as a power of x. Applies e
n*ln(x)
=x
n
.
exp2pow(Expr)
Example:
exp2pow(exp(3*ln(x))) gives x^3
x
y
→e
y*lnx
Returns an expression with powers rewritten as an exponential. Essentially the inverse of exp2pow.
pow2exp(Expr)
Example:
pow2exp(a^b) gives exp(b*ln(a))
exp2trig
Returns an expression with complex exponentials rewritten in terms of sine and cosine.
exp2trig(Expr)
Example:
exp2trig(exp(i*x)) gives cos(x)+(i)*sin(x)
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