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Series algorithm changed between Mathematica 11.0.0.0 and 11.1.0.0

Posted 8 years ago
9 Replies
POSTED BY: Daniel Lichtblau
POSTED BY: Michael Rogers
POSTED BY: Frank Kampas

Do you have an actual, specific proposal? I've yet to see anything concrete, not even in answer to specific questions I raised. This is the sort of thing that typically gets removed by moderators.

POSTED BY: Daniel Lichtblau

Given that Taylor series are taught in first-year calculus courses, it seems to me that having a function to do them is a no-brainer.

POSTED BY: Frank Kampas

This feature, does it have a specification beyond "implement multivariate series"? What might that spec be? For example what would be a sample input and output? What would be the restrictions on inputs? Holomorphic functions in some region? Something else? Would the result use order terms?

What I'm getting at is I don't see this as in any way a part of the current Series function. A TaylorPolynomial function might be useful. But it would be a different function. I see no way this could be construed as feature missing from Series.

Will such a function show up in a future release? I'm not sure. There is an ongoing project to extend multivariate capabilities in some areas related to this, so it would not surprise me. But I do not have definite knowledge one way or the other.

POSTED BY: Daniel Lichtblau

You're right. I'm talking about a feature that should have gone into Series when it was first introduced (or a separate function created), not the changes in the most recent version.

POSTED BY: Frank Kampas

(1) Multivariate series mean different things to different people. The iterated form supported makes perfect sense and works in a way that requires no departure from univariate.

(2) If what is wanted is a total degree series, the method to do this is fairly well known. It requires introduction of a new variable. I have to wonder how that would fit into the framework of Series? (Short answer: Quite poorly.)

(3) This would appear to be a case of hijacking a thread. It has naught to do with the Series changes that went into 11.1.

POSTED BY: Daniel Lichtblau

It would be nice if there were an option to Series so that it would give a correct Taylor series expansion when the expansion is done on more than one variable.

POSTED BY: Frank Kampas
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