Mathematical Musings, Memorabilia and Personalities

[mfgoode]

Originally Posted by ATH

You are missing a digit 3 :)

3,141 592 653 589 793 238 46

good observation ATH.
Thanks Paul for the 10 digit word to represent 0. Excellent!

Heres a mnemonic of 31 digits. The 32nd is 0

"How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics. One is yes, adequate even enough to induce some fun and pleasure for an instant miserably brief."

[ 3.141 592 653 589 793 238 462 643 383 279 5 0 ]


Mally

[mfgoode]

Originally Posted by segmtfault

http://membres.lycos.fr/villemingera...oTe/Phrase.htm

Thank you segmtfault.
To make it understandable for the rest of us I suggest you write it down straight for those members who may not know French.
For example as these 10 digits of the 1st line of a 29 digit mnemonic in French
"Que j'aime a' faire apprendre un nombre utile aux sages!"
[3.1415926535 ] Pardon my french!
Its not the meaning that counts provided it makes sense. Its the matter of counting the letters of the rhyme/phrase, if recorded, as an aid to remember the digits.

Mally

[segmtfault]

Ok Copy-pasted from the linked page :

FRENCH
(Short version)
Que j'aime à faire connaître ce nombre utile aux sages!

(Long version)
Que j'aime à faire apprendre un nombre utile aux sages !
Immortel Archimède, artiste ingénieur
Qui de ton jugement peut priser la valeur?
Pour moi ton problème eut de sérieux avantages

(Alternate long version)
Que j'aime à faire apprendre un nombre utile aux sages !
Glorieux Archimède, artiste ingénieux,
Toi de qui Syracuse aime encore la gloire
Soit ton nom conservé par de savants grimoires!


ENGLISH

(Version 1)
May I have a large container of coffee?
or of orange juice ?

(Version 2)
How I wish I could recollect of Circle Round
The exact relation Archimede unwound

(Version 3)
How I want a drink, alcoholic of course,
after the heavy lectures involving quantum mechanics


GERMAN

(Short version)
Dir,o Held,o Alter Philosoph, du Reisen-Genie!

(Long version)
Dir,o Held,o Alter Philosoph, du Reisen-Genie!
Wie, viele Tausende bewundern Geister
Himmlisch wie du und Göttlish!

[smh]

Originally Posted by xilman

Sir, I bear a rhyme excelling
In mystic force and magic spelling.
Celestial sprites elucidate
All my striving can't relate.


That gives 20 places and is, of course, an old favourite. I used to know the second verse which added another twenty or so places but can no longer remember it.

......
Or locate they who can cogitate
And so finally terminate.
Finis.

[mfgoode]

Originally Posted by segmtfault

Ok Copy-pasted from the linked page :

FRENCH
(Short version)
Que j'aime à faire connaître ce nombre utile aux sages!



GERMAN

(Short version)
Dir,o Held,o Alter Philosoph, du Reisen-Genie!

(Long version)
Dir,o Held,o Alter Philosoph, du Reisen-Genie!
Wie, viele Tausende bewundern Geister
Himmlisch wie du und Göttlish!

-----
-(Addition to Long version)-- from 18th to 30th decimal digit

'Noch reiner in Aeonen
Wird das uns strahlen
Wie im lichten Morgenrot!'

Mally

[mfgoode]

I got no comments on this post. No matter!
For anyone interested to know more on the 'divine proportion', cryptography,
anagrams all combined in one in a thrilling and mistyfying murder story and the quest of the 'Holy Grail' I would with absolute surety recommended the paper back by Dan Brown on the best seller list of the NYT. titled
'The Da Vinci Code'. Included is a verbal tour (authentic) of Paris.
I leave the choice to you.

Mally.
P.S. This is not an advertisement but a recommendation or book review!

[synergy]

Yes, I find phi (sometimes called tau) fascinating. In fact, I have two programs on my calculator which take a total (say money) and divide it to two groups (say kids and grand-kids) such that:
First program: total of first group is phi times total of second group
second program: each individual in first group obtains value on phi times the value obtained by each individual in second group
I have never used these programs for a specific application, but I think someone may choose to use them for inheritance, or who knows where they could come in handy.
Incidentally, if you know that the ratio of consecutive fibonacci #s approaches phi, did you know that the fastest converging such (integer) sequence begins 1,3,4,7,11 instead of 1,1,2,3,5,8? And if you start such a sequence with 1,phi,1+phi,1+phi+phi,... this is the same sequence as 1,phi,phi^2,phi^3,phi^4...?
Aaron(synergy)

[mfgoode]

Thank you Synergy (Aaron) for your reply to the above thread.

Possibly you have missed out on my thread "The Golden Section" of May 4th
2004. So please refer to it in the math forum.

Some more details I have given in my post to 'Erasmus' whose thread is entitled "A proposal for searching of recurring series pimes" of 22th april 04.
In my post to him I have given some details on 'Tribonacci/Tetranacci' numbers on 26th April 2004. I also have given the generalised FiB. series and its limit. You may find it interesting in the work/research you are doing.

The second series you mention viz; 1 ,3 , 4 , 7 , 11 , is known as the 'Lucas series' As a matter of fact if you start with any two nos. and as it goes on ,the limit will tend to be 1.618 -------

The dates I have given may not be so accurate.


Could you please show a derivation of the general Fib. Equation from which the results you have given will follow, for the benefit of those who are interested. Your final result was excellent!

If not then the onus of explanation falls on me!.

I was a member of The Fibonacci Association, Santa Clara Univ. California. U.S.A. for a few years. And with time I increased my knowledge on these types of series. There are many 'Theorems' linking Fib and Lucas series.

Please feel free to ask me any of your doubts and I remain open for enquiry.


Thanks,

Mally

[T.Rex]

In his book: "The Road Ahead" page 265 , Bill Gates said:

"The obvious mathematical breakthrough would be development of an easy way to factor large prime numbers."

Funny. It appears page 49 of Williams Stein' book:
"A Brief Introduction To Classical And Adelic Algebraic Number Theory"
http://modular.fas.harvard.edu/edu/Spring2004/129/ant/


By the way, I've found a VERY interesting book :
"Algorithms for programmers"
http://www.jjj.de/joerg.html

Tony

It's funny you mention this...
I have spoken with a few developers at microsoft, that are very interested in what goes on in here. I'm sure, big brother "Bill" has parsed once or twice.

[xilman]

Originally Posted by TTn

It's funny you mention this...
I have spoken with a few developers at microsoft, that are very interested in what goes on in here. I'm sure, big brother "Bill" has parsed once or twice.

Two things.

1) Bill meant to say "factor into prime numbers". He is well aware of what integer factorization means.

2) Until recently I worked for Microsoft Research in Cambridge. There is no doubt that some parts of Microsoft are very definitely interested in integer factorization or, more widely, computational number theory or, more widely still, cryptanalytic attacks on fielded cryptosystems.

Paul