Mathematica Asked by SciJewel on April 11, 2021
ftn1 = Sin[s]^2 + 3 t^2 + u^5
3 t^2 + u^5 + sin[s]^2
ftn2[s_, t_, u_] := ftn1
ftn2[2, 1, 2]
3 t^2 + u^5 + Sin[s]^2
Hi there,
In the above code, would somebody like to comment on how to redefine the output of ftn1 in the form ftn2[…] above. This is just a simple example, oftentimes there is a complicated output of ftn1 and one has to copy and paste for ftn2[….]. That’s quite cumbersome, though works well. I am wondering how to directly define ftn2 in terms of the output of ftn1 above so that to avoid copy and paste and also ftn2 works fine. As it can be seen from above "ftn2[2, 1, 2]" fails to work. Thanks!
ftn1 = Sin[s]^2 + 3 t^2 + u^5
ftn2[s_, t_, u_] = ftn1
a=ftn2[2, 1, 2]
N[a]
35 + Sin[2]^2
35.8268
If you prefer to used :=
then
ftn1 = Sin[s]^2 + 3 t^2 + u^5
ftn2[s_, t_, u_] := Evaluate[ftn1]
Answered by Sumit on April 11, 2021
Your function is defined as,
ftn1 = Sin[s]^2 + 3 t^2 + u^5
3 t^2 + u^5 + Sin[s]^2
If you use ReplaceAll (/.)
on ftn1
,
ftn1 /. {s -> 2, t -> 1, u -> 2}
35 + Sin[2]^2
You can use N[]
to numerically evaluate it,
N[ftn1 /. {s -> 2, t -> 1, u -> 2}]
35.8268
With this knowledge, define ftn2
as ftn2[s1_, t1_, u1_]
, where s1
, t1
and u1
are placeholders for s
, t
and u
respectively. Now we "replace all" variables so that ftn1
is evaluated inside the definition of ftn2
(Techinically, by using :=
, fnt1
is not evaluated inside the definition, it is evaluated in the function call of the fnt2
function. We use placeholders so that variables inside ftn2
is clearly separated from the internal variables in ftn1
:
ftn2[s1_, t1_, u1_] := ftn1 /. {s -> s1, t -> t1, u -> u1}
ftn2[2, 1, 2]
35 + Sin[2]^2
Suppose now, this is not enough and you need the numerical value, you can use N[]
in the definition of the function,
ftn3[s1_, t1_, u1_] := N[ftn1 /. {s -> s1, t -> t1, u -> u1}]
ftn3[2, 1, 2]
35.8268
This should solve your problem!
Answered by Kishore S Shenoy on April 11, 2021
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