07/07/2014, 11:56 PM

A few comments

sexp(z+wave(z)) has derivative

sexp ' (z+wave(z)) (1 + wave'(z))

Therefore the techniques from the first few posts relate the solution of TPID 4 to the boundedness conjecture under some condition :

CONDITION => If sexp(z) is bounded then so is sexp ' (z) in the relevant strip.

That condition is a conjecture that needs to be proven !!

A related thing

Let CP be the continuum product.

Is it NECC true that

IF

sexp ' (z) = CP [sexp(z)]

THEN

sexp ' (z + wave(z)) = ( CP [sexp(z)] ) (1 + wave ' (z)) = CP[sexp(z+wave(z))]

And how do these concepts of continuum product , derivative , boundedness etc " really " relate ?

Ok that last is a vague question , but still.

regards

tommy1729

sexp(z+wave(z)) has derivative

sexp ' (z+wave(z)) (1 + wave'(z))

Therefore the techniques from the first few posts relate the solution of TPID 4 to the boundedness conjecture under some condition :

CONDITION => If sexp(z) is bounded then so is sexp ' (z) in the relevant strip.

That condition is a conjecture that needs to be proven !!

A related thing

Let CP be the continuum product.

Is it NECC true that

IF

sexp ' (z) = CP [sexp(z)]

THEN

sexp ' (z + wave(z)) = ( CP [sexp(z)] ) (1 + wave ' (z)) = CP[sexp(z+wave(z))]

And how do these concepts of continuum product , derivative , boundedness etc " really " relate ?

Ok that last is a vague question , but still.

regards

tommy1729