## 607 Reputation

19 years, 290 days

## Algolib...

It is in the maple-12-wish-list,

http://www.mapleprimes.com/blog/jacquesc/maple-12-wish-list#comment-8640

Sandor

## Taylor series expansion of...

It is very nice!

Here S_n=sum(2^k/k, k=1..n).

I tried to calculate the Taylor series of   log(1-2*x)  / (x-1)   using

convert( log(1-2*x)  / (x-1) , FormalPowerSeries)

but Maple's answer is     log(1-2*x)  / (x-1) .

However S_n  involves LerchPhi a 2F1 hypergeometric function, so I think, in principle, the FormalPowerSeries method should give the desired answer.

Sandor

## Taylor series expansion of...

It is very nice!

Here S_n=sum(2^k/k, k=1..n).

I tried to calculate the Taylor series of   log(1-2*x)  / (x-1)   using

convert( log(1-2*x)  / (x-1) , FormalPowerSeries)

but Maple's answer is     log(1-2*x)  / (x-1) .

However S_n  involves LerchPhi a 2F1 hypergeometric function, so I think, in principle, the FormalPowerSeries method should give the desired answer.

Sandor

It is usual to approximate a sum by integral, but what can you say about the error?

It is usual to approximate a sum by integral, but what can you say about the error?

## Book title...

There are many books on numerical methods, I don't know this one. Could you give (approximately or exactly) the title of this book?

Thanks,   Sandor

## online refereed journal...

It's a good idea. I think it would be similar to arxiv.org in principle. Instead of refereeing a community verified and updated method probably would be a good choice, similarly to some type of wikipedia. Very recently I read about a plan about a wikipedia where community can edit but there is an editorial board (above 500 leaves?, and/or phd degree?)  which makes controll on the content.

Concerning the math typing problems, I use a firefox add-on, textheworld, http://thewe.net/tex/  which instantly transforms latex to image. It works on internet based emails also, so for example I can send formulas easily in my gmail letters.

Sandor

## Laplace convolution...

Thanks. The improper integral is (by Maple)  arctan(2).

It's interesting that Maple does not try to determine the inverse using convolution theorem.

Or, would be an  option=conv , helping to find the inverse.

Sandor

## Laplace convolution...

Thanks. The improper integral is (by Maple)  arctan(2).

It's interesting that Maple does not try to determine the inverse using convolution theorem.

Or, would be an  option=conv , helping to find the inverse.

Sandor

## Laplace convolution...

Could you post your hand-solution? It's only my personal mathematical interest.

Thanks,   Sandor

## Laplace convolution...

Could you post your hand-solution? It's only my personal mathematical interest.

Thanks,   Sandor

## Inv Laplace...

It's a problem, but you can obtain something maybe useful.

Since the final result is real, you can use this fact, but probably the final result is not an elementary function.

Sandor

## Inv Laplace...

It's a problem, but you can obtain something maybe useful.

Since the final result is real, you can use this fact, but probably the final result is not an elementary function.

Sandor

## Laplace int trans...

Theory says: when the right hand side is a piecewise function then it is worth to try using the Laplace integral transformation.

Fortunately the dsolve has a  method=laplace  option.

Good luck!

Sandor

## Laplace int trans...

Theory says: when the right hand side is a piecewise function then it is worth to try using the Laplace integral transformation.

Fortunately the dsolve has a  method=laplace  option.

Good luck!

Sandor

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