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Jan 22, 2023, 8:33:04 AMJan 22

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Maple and Sage (per GIAC, I assume) get certain integrals involving

FLOOR(x) wrong, whereas Derive 6.10 does not:

INT(FLOOR(x)^2, x) = - 2*FLOOR(x)^3/3 + (x - 1/2)*FLOOR(x)^2 +

FLOOR(x)/6

INT(2*FLOOR(x), x) = (2*x - 1)*FLOOR(x) - FLOOR(x)^2

The integrands are from a complaint on sage-devel at Google Groups.

Martin.

Jan 22, 2023, 12:03:06 PMJan 22

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"clicl...@freenet.de" schrieb:

INT(2^FLOOR(x), x) = 2^FLOOR(x)*(x + 1) - 2^FLOOR(x)*FLOOR(x)

Martin.

Jan 22, 2023, 10:28:48 PMJan 22

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Mathematica 13 returns Integrate[Floor[x], x] unevaluated, even when assuming x is real.

Derive 6.10 is 20 years old and its mathematical engine was implemented by two people. Wonder how many people worked on Maple and Mathematica over the past 20 years.

Albert

Derive 6.10 is 20 years old and its mathematical engine was implemented by two people. Wonder how many people worked on Maple and Mathematica over the past 20 years.

Albert

Apr 19, 2023, 7:57:00 AMApr 19

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Albert Rich:

> Mathematica 13 returns Integrate[Floor[x], x] unevaluated, even when assuming x is real.

> Derive 6.10 is 20 years old and its mathematical engine was implemented by two people. Wonder how many people worked on Maple and Mathematica over the past 20 years.

That may not have been meant as an explanation, but maybe it is the explanation.

> Mathematica 13 returns Integrate[Floor[x], x] unevaluated, even when assuming x is real.

> Derive 6.10 is 20 years old and its mathematical engine was implemented by two people. Wonder how many people worked on Maple and Mathematica over the past 20 years.

Apr 20, 2023, 5:08:20 AMApr 20

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Peter Luschny schrieb:

Martin.

PS: The integrals involving floor(x) were discussed on sage-devel at

Google Groups, the initial post is archived under:

<https://www.mail-archive.com/sage-...@googlegroups.com/msg105858.html>

Apr 20, 2023, 11:10:25 AMApr 20

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> > > Derive 6.10 is 20 years old and its mathematical engine was

> > > implemented by two people. Wonder how many people worked on Maple

> > > and Mathematica over the past 20 years.

> > That may not have been meant as an explanation, but maybe it is the

> > explanation.

> Your remark seems to require an explanation.

Well, if you insist. But I wanted to know if at least ChatGPT understands me.
> > > implemented by two people. Wonder how many people worked on Maple

> > > and Mathematica over the past 20 years.

> > That may not have been meant as an explanation, but maybe it is the

> > explanation.

> Your remark seems to require an explanation.

Here is its answer:

"Generally speaking, as complexity increases, so does the potential

for error rate. This is because complexity introduces more potential

points of failure or sources of error.

"In other words, the more complex a system, process, or task is,

the more difficult it may be to manage, monitor, and control,

and the greater the likelihood that mistakes will be made.

"For example, if a software program has many lines of code,

there are more opportunities for bugs or errors to be introduced.

"Similarly, if a manufacturing process involves many different

components or steps, there are more chances for something to

go wrong. On the other hand, a simpler system or process may

have fewer potential sources of error and may therefore be more reliable."

As I am writing this I read the news: "Maiden flight of

SpaceX's Starship rocket ends in explosion."

May 7, 2023, 9:57:06 AMMay 7

to

In fact I did that Albert; even more than your 20 years ago and I am not a masochist :)

I began using Maple at the beginning of the '90 (Maple V.2) and Mathematica in 1990

(release 1.1.a).

And I still use them.

I am not a CS guy/geek at all , I am a retired mathematician and I do enjoy playing

with that 2 softwares.

Moreover the "Personal/Home" editions are pretty cheap.

Kind regards to all,

JMC (Jean-Michel)

PS: Don't take care of the so-called email you see regarding me, this is a fake.

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