Re: [EXTERNAL] Re: 1-button calcula tor ~ "all elementary fns from a single operator"

Obviously, Google was confused.

Q: If z = exp(x)-log(y), then  x = log(z + log(y)) might look a tad better ?  Is this log(z+log(y)) function universal in the same sense as eml() ?

Q: if we have a 1BC expression for f(x)=y, can we then trivially compute x=f^-1(y) ?

Q: The 1BC paper seems to want to rely on functions defined over the reals; I suspect that functions defined over the complex numbers might give additional 1BC results that might be prettier ?  Perhaps the constant %pi*%i might work to force things into the complex plane ?

Q: I've always had a fondness for asinh(x), as it is bijective onto the reals, and has many of the same properties/characteristics as "gradual underflow" floating point numbers.  I'm wondering if it could be part of a universal 1BC function ?

-----Original Message-----
From: Przemek Klosowski via Maxima-discuss <[email protected]>
Sent: May 1, 2026 9:24 AM
To: <[email protected]>
Subject: Re: [Maxima-discuss] [EXTERNAL] Re: 1-button calculator ~ "all elementary fns from a single operator"

> BTW, Google just told me that the obvious differential equation for > eml(x,y) is
>
> dy/dx = y*exp(x)

(%i1) eq:'diff(y,x)=y*exp(x);
                                  dy     x
(%o1)                             ── = %e  y
                                  dx
(%i2) ode2(eq,y,x);
                                         x
                                       %e
(%o2)                            y = %e    %c

what am I missing?



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