It is orificial now
 

See the entry "failure function" in the maths encyclopedia of PlanetMath.org.

The relevant paper "A Theorem a la Ramanujan" is also on PM.


A.K.Devaraj:smile:

Does not seem universally accepted...
BTW, \in must of course go inside the $...$ !!

[QUOTE=m_f_h;132156]Does not seem universally accepted...
BTW, \in must of course go inside the $...$ !![/QUOTE]


The real question should be:

When the OP says "it is official", what is "it"??

The only real thing that is official is that the OP has
proven himself an authentic loon.

[quote=devarajkandadai;132120]See the entry "failure function" in the maths encyclopedia of PlanetMath.org.[/quote]I did ([URL]http://planetmath.org/encyclopedia/FailureFunctions.html[/URL]). In the default view style (HTML with images), there's a message

[quote=PlanetMath.Org][SIZE=4][COLOR=#ff0000]This entry is broken! Please report this to the author ([/COLOR][/SIZE][URL="http://planetmath.org/?op=getuser&id=13230"][SIZE=4]akdevaraj[/SIZE][/URL][SIZE=4][COLOR=#ff0000]) by [/COLOR][/SIZE][URL="http://planetmath.org/?op=correct&from=objects&id=10345"][SIZE=4]filing a correction[/SIZE][/URL][SIZE=4][COLOR=#ff0000]. In the meantime, you can see if another rendering mode works.[/COLOR][/SIZE][/quote].

However, selecting view style "TeX source" gets one to a readable entry.

Is there any way to change that view style default?

[QUOTE=cheesehead;132179]I did ([URL]http://planetmath.org/encyclopedia/FailureFunctions.html[/URL]). In the default view style (HTML with images), there's a message

.

However, selecting view style "TeX source" gets one to a readable entry.

Is there any way to change that view style default?[/QUOTE]

It is irrelevant. Even in the proper style, what was written is nonsense.
Indeed, it "isn't even wrong".

As written:

The function psi is undefined, the variable x is used to mean two different
things in two different places, and the conclusion is meaningless since
psi(x) is undefined. And if psi(x) is a polynomial, then the result
is false. Finally, the post fails to give a definition of N. There is no
universal definition. Sometimes it means Z+, and other times it means
{0, Z+}.

Finding polynomial functions that are composite and positive for every
element in their domain is *trivial*. Take any polynomial with no real roots
and non-zero content.

The OP is just another clueless crank.

[QUOTE=R.D. Silverman;132290]

Finding polynomial functions that are composite and positive for every
element in their domain is *trivial*. Take any polynomial with no real roots
and non-zero content.

The OP is just another clueless crank.[/QUOTE]

I should have added: polynomial with positive coefficients.