Recent content by m4r35n357

Well I can at least thank you for that news! Unfortunately I cannot decide whether to buy the new version (my old paperback is disintegrating) as there is no information on what has been updated, and no online version to check for myself. Perhaps the author attempted to update the online text...

Yes, I know all this; my original question stands. If you are unwilling or unable to answer it please leave it to someone else. The author is not immortal, and I have no idea whether he is even still alive.

Yes. However, at some point the author will no longer care about anonymity! I am guessing from the path details that the person doing the restoration is not the author.

see https://www.mathpages.com/rr/rrtoc.htm Hovering over the links within reveals what looks like a failed data restoration (just hover over one to see) - other pages seem unaffected. Is anyone here capable of contacting the site operators?

Really?

I guess all Python devs know about PyCharm (commercial, but with a gratis (community) version) which has a really nice debugger built in. Perhaps you don't know about Eric. Eric is nice when you don't have an x86 based computer (Raspberry Pi), or an x86 not running one of the OSs supported by...

IMO learning by doing is the best way to approach this, so I'll give you some search terms. Most of these things involve systems of Ordinary Differential Equations (ODEs). Search for methods of solving them. Another related area is Hamiltonian Mechanics (also an ODE formulation), which is at...

Heh, I meant the third line of equations, so you got the right part! So if I get you the term just represents all the combinations requred to form the RHS. In that case I would agree it gets too big to handle (numerically) for large numbers of series. I am actually investigating whether there...

Hmm, not sure I understand. Are you saying that the term(s) within the product/sum ##\Pi \Sigma## on the third line do not represent a formula that I can implement myself, because that is my objective (I just don't know what the term means).

I'm sure there are degenerate/edge cases, but here is ##|x + 1|##: Yes there really are 12 derivatives here! Piecewise functions are fine as long as f() is defined at the jump (and derivatives set to zero - see next sentence!). However, this is nothing whatsoever to do with the order of...

Thanks for the feedback! ODEs are what got me involved with this method in the first place, and is the main reason I reverse-engineered the procedure for my own use. Turns out that the best way to verify the low level functions that I needed was to wrap them in Series objects and do those...

You bring up an interesting point, so make yourself comfortable ;) I am assuming that you use or have used RK4 for solving ODEs, which is by definition a finite difference approximation to a fourth order Taylor Series solver (because finding higher order derivatives is supposedly "difficult" or...

I am trying to make sense of the wikipedia article section regarding Cauchy product of several series. but am stuck right at the start because the notation used there is unfamiliar to me and not explained previously in the article. The commas in ##\Sigma a_1, k_1## etc. mean nothing to me. Am I...

Agreed, but as I mentioned above the "window" of intelligible output is finite. There is a subset of use cases for a CAS, where the symbolic output is translated to a more "familiar" language for execution. These are the use cases where my comparison is valid. Not because of the extra time...

Thought I would address this one separately. Here are the first twenty nineteen differentials of ##\exp (2.0)##: $ ipython3 Python 3.7.1 (default, Oct 22 2018, 11:21:55) Type 'copyright', 'credits' or 'license' for more information IPython 7.2.0 -- An enhanced Interactive Python. Type '?' for...