Re: series expansion : a question

denis wrote:

(and did no math whatsowever rather insulted as usual)

tommy1729 a écrit :
In article

<33119411.1186861057132.JavaMail.jakarta@xxxxxxxxxxxxx
forum.org> tommy1729 <tommy1729@xxxxxxxxx> writes:
> considering series expansion ..
>
> a power series is taylor
> an nth derivate series is taylor

You are doing things the wrong way. A Taylor
series
exists for a function
that is analytical in a circle around the origin.
In
that case the Taylor
series is convergent within that circle. When a
Taylor series does exist
we can get the n-th derivative of it by taking the
n-th derivative of the
terms, constructing a new Taylor series. And we
can
integrate the function
by integrating the terms (where we have to insert
suitable constant terms).
A function for which the n-th derivative does not
exist at x = 0 does not
have a Taylor series expansion at all. (An
example
is x^3.|x|, which has
first, second, third and fourth derivatives, but
for
which the fifth
derivative at x = 0 does not exist, so it is not
analytical in x = 0 and
so does not have a Taylor series expansion.)

> what is the analogue for an integral ??
wich series can be expressed in the nth integral
l ??

See above. Although I do not understand the
second
question.
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amsterdam, nederland, +31205924131
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once agian i am misunderstood ...


once again, you obfuscated issues, then complained

i understand taylor series perfectly ...

Certainly not . You are a troll. Dont expect any
further serious help
for us now.

radius of convergeance too...

thats NOT the issue here !!!

If you say so...


considering f(x+a) = f(a)+f'(a)x +...

(taylor ) it is clear that taylor is a power series
( infinite polynomial of x )

and a series of nth derivates ( f^n(a))

i am looking for the analogue of nth integrals ...

tommy1729

Keep looking. Remember Taylor series are unique.
Perhaps you are looking
for something like Euler-MacLaurin smomation formula?
But I strongly
doubt it. You are just trolling as usual

no , just as usual you dont understand the math i am describing...

i am better at math then you are


want a second opinion ??

ask quasi about my factoring tricks for instance

or look up sequences called after me

i won a math olympiad too

i have at least one operator and two constants named after me

....

you remind me of bit188

you have a lot of nerve for a newbie...

you dont even know about the math i have done in the past

you were not even here ...

and i guess you were not present at the math olympiad either ...

it is YOU WHO HAS TO CONVINCE US THAT YOU ARE NOT A TROLL

SINCE YOU ONLY INSULT PEOPLE HERE

rather than to ask questions , let alone do math...

i have seen lots of critics towards me ...

the only reason you can react like that is because this forum is unmoderated !!

NOT because you are a genius...

you could not even compute an average remember ???

now what kind of mathematician cant compute an average ;

yet claims to understand calculus ??

denis and denis only ...


there is a pattern in critics towards me

1) they insult me

2) they dont do math

3) they leave , realising they misjudged me , and/or they cant do math...

(usually both)


your faith will be the same as bit188...
(or any other)

she considered me a crank too...

till some people here pointed out the level of my postings

( especially the ones she did not read )

she refused to read them...

finally she apologized

promised to do some math

and then left ...

and time will repeat itself ...

notice how most people on my cranklist have left

they were all critics of mine ...

and those are only the recent ones ...

so they all had to go ...

realizing they made a fool out of themselves doubting me ...

go ahead

look for my factoring tricks ...

ask quasi about it if you dont believe me ...

dont expect JSH type factoring tricks , mine are much more advanced !!!

go ahead , look it up

or ask quasi

or ask timothy golden

or ask neilist

or even robert israel will remember that

or do you consider those guys cranks too ??

time will repeat itself...

you probably think this does not apply to you ; that your different ...

think again ...

----------------------------------------------------------

"dimensionality is resolved !! "
tommy1729 about perelmanns proof
.