TT

I have a bit of an obsession with Prime numbers, and wrote a program to 
list numbers and the number of divisors they had. It was quite illuminating.

My favourite number was the smallest number divisible by 1, 2 , 3, 4, 5, 6, 
7, 8,, 9 and 10

I would like to annotate each number with things learned about each number. 
Thus I think a way to take a function and use it to annotate numbers would 
be helpful, for example compute the Squares and flag each number tiddler 
with a field square=squareroot (Previous square).

Overtime one could accrue a great resource. If done to a standard people 
could share there functions.

Tiddlywiki also provides various ways to display or graph tiddlers.

Regards
Tony

On Sunday, 13 October 2019 23:32:12 UTC+11, @TiddlyTweeter wrote:
>
> TonyM
>
> Further to my last an obvious fact is that outside maths conversion 
> "standards" -- where for instance base-12 counts "... A, B, 10 ..."---a lot 
> of everyday usage is "dual based". For instance "10, 11, 12" inches. And 12 
> inches IS 1 foot.
>
> This actually corresponds to how most people have counted through history 
> where "the turn" is dual. And counting is in "cycles" that transfer 
> (optionally) to a different base at the "turns". So 3 feet IS 1 yard, but 
> remains 36 inches too etc. As such they are both "based" and "un-based". 
> And you could say "2 foot & 12 inches" and still be understood that its 1 
> yard.
>
> Just observations
> TT
>
> On Sunday, 13 October 2019 13:17:52 UTC+2, @TiddlyTweeter wrote:
>>
>> Ciao TonyM
>>
>> FYI I'm interested in the confluence of social (including historial) 
>> counting and calculation.
>>
>> I find some of the widespread European decimal based (metric) systems 
>> poor compared to the other base systems still widely used in UK & USA for 
>> measures. 
>> For instance ...
>>
>>    - inch (12=1) foot (3=1) yard (220=1) furlong
>>    - ounces (16=1) pound (14=1) stone
>>    - nautical miles / knot
>>    - Fahrenheit v Centigrade
>>
>> Historically there emerged all sorts of mixed-bases for practical 
>> calculation, many still in use.
>>
>> WHY so? is a very interesting question. But comes down to the fact the 
>> world is not divided into any particular system, rather the physical 
>> attributes of a social context fostered different bases of calculation 
>> matched to different ways of "carving it up" conceptually.
>>
>> Being able to think in different bases is particularly useful. 
>> Since programmers can often think in other than base-10 (binary, octal & 
>> hexadecimal are obvious cases) it might be interesting for them too to play 
>> the social aspect, where "formal" calculation hits social praxis?
>>
>> A good example is "a baker's dozen" (base-13). Its a case where needed 
>> utility built on from (base-12) maths. Another example is how nautical 
>> miles are related to longtitude & latitude.
>>
>> This is somewhat different than looking within math itself as a 
>> self-referential world with interesting patterns to find & enjoy for their 
>> own sake. Also of great merit.
>>
>> Just thoughts.
>> TT
>>
>> TonyM wrote:
>>
>>> Folks,
>>>
>>> Join our Collaborative Project -* Numbers*
>>>
>>> Recent collaborative discussions and illustrated some interesting 
>>> methods and challenges for our community. Words and Numbers.
>>> I thought I would initiate a couple to stimulate activity from the 
>>> community, join in and contribute if you can otherwise lurkers are fine.
>>>
>>> *AIM: *Develop and improve the ability for people to interrogate large 
>>> number lists with TiddlyWiki. Allow each number to be annotated with 
>>> relationships to other numbers.
>>>
>>> *Inspiration: *Whatever your relationship to numbers, every number 
>>> small or large has its own qualities, do you have a favorite number?, did 
>>> you know the difference between 0 and one is either 1 or infinity?, Do you 
>>> know about the beauty in the primes?, and that most of the common numbers 
>>> 12 in a dozen, 24 hours a day, sixty seconds/minutes in a minute/hour and 
>>> 360 degrees are all some of the most divisible numbers?
>>>
>>>    - Let us stick to the counting numbers - integers to start with.
>>>    - Let's have a way to annotate numbers with info we can share, 
>>>    manually, programmatically or by import 
>>>    - Learn more about numbers
>>>    - Build various number related algorithms in Tiddlywiki 
>>>       - Identify primes, Squares, special number sequences
>>>       - Find what sequences fit within other well known sequences
>>>    
>>> Large lists present possible performance issues, Numbers can stay in a 
>>> single data tiddler, or generated in a list until you make a single tiddler 
>>> once you wish to add information to a given number. Canned search strings 
>>> that may interest people would also be fun, like reoccuring palindromes..
>>>
>>> *Where do we start?*
>>>
>>>    - The best way to build a list of numbers and add annotations to 
>>>    each as desired
>>>    - How do we best generate them? Look them up?
>>>    - How do we annotate numbers (eg if a number has the field prime it 
>>>    is a prime number)
>>>    - What code would identify and flag which numbers are prime, can it 
>>>    restart without returning to 1 if you extend you number set further?
>>>    - Provide an easy to use way to list numbers with a shared nature, 
>>>    without necessarily re-computing
>>>    - How to we share new number annotations and relationships we can 
>>>    add to our own list in a non-destructive way
>>>
>>> Lets get started Numberphiles.
>>> *A person who is a lover of numbers.*
>>>
>>

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