
From:  Raymond Rogers 
Subject:  Re: [Axiomdeveloper] Bernoulli puzzle 
Date:  Tue, 21 Oct 2014 12:25:45 0400 
Useragent:  Mozilla/5.0 (X11; Linux x86_64; rv:31.0) Gecko/20100101 Thunderbird/31.2.0 
Tim, Yes I learned some time ago that maintenance can be devastating. I am a little at odds with your theory but not too much; and I will try to conform to your styles. Along that vein: can you point me to the current tools you recommend and examples of how you are currently doing documentation? They seem to have drifted a little over the years. BTW: my ideal is "The Elements of Programming Style," by Kernighan and Plauger. After a particularlly upsetting run in, with myself, regarding "clever" coding I found this to be an exceptional guide. Clarity is typically more important than cleverness or one or two machine cycles. "although YOU understand the code you write, nobody else does. " Even when I was younger and clever that wasn't true after six months :):) I guess I might be schizoid but after six months and then looking at some "clever" math or programing I typically have to start from scratch (really sad). Ray On 10/20/2014 06:20 PM,
address@hidden wrote:
Ray,A little off topic; but I have developed an alternate way of dealing with polynomial sequences like Bernoulli polynomials that are generated by generating functions. It involves casting the sequences in matrices and apply Pascal Matrices and Umbral calculus. It makes some known relations obvious and casts a different viewpoint on others. It might allow some kind of Polynomial sequence algebra or some such. It does have the advantage of automatically converting some (actually most) sequences to others by symbolic/parametrized methods. If anybody is interested let me know and I will write up the application to Bernoulli polynomials as a special case.That would be an interesting generalization. Axiom implements several number theory algorithms with generating functions. If they were all just "cover calls" to a common method it would be useful. If you were to write something like that I'm begging you to write a fair amount of natural language explanation. I lost a whole weekend trying to reverseengineer the bernoulli code so I can document it. Without Waldek's help I'd still be struggling. Please consider that, although YOU understand the code you write, nobody else does. Few people, myself included, have heard of Unbral calculus. Tim  The primary use of conversation is to satisfy the impulse to talk George Santanyana 
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