Better than a computer.

Hi there.

I'm currently working on a program that produces a formula that tells you each number in the sequence. For example, if someone wrote a book, the formula tells you each letter in the book.

N:2468
P:1234

N is the number, p is the position.

The formula for the above is 2p. But should the program be able to produce a formula for ANY sequence, it could be useful for remembering things such as phone-numbers.

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The program was originally designed to predict the next number in a sequence: this could be useful for all sorts of things, from lottery results, to passports through an airport. However I have concluded that it is impossible to predict a number, until that number is presented.

For example, an all encompassing formula may not be able to predict the next number in the following two sequences, from the first number.

N:123456789
N:164256756
P:123456789

However, while prediction may be futile, a formula may be drawn for a complete sequence, such as a book, or phone number.

My question for theoretical mathematicians is the following: does ANY sequence always have a formula that follows it's position in the sequence?

P:123456789

 

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Hi again.

I've received some advice from a friend. It's along the lines of the following: there are only so many games of chess that may be played. Should we number each possible game, we may say which number was played (game six for example.)

We may do the same for a limited number of positions (a phone number, for example.) I.e. for a three digit number, I may conclude the following:

1:123
2:132
3:213
4:231
5:312
6:321

I may then successfully state which sequence may be applied. The problem with this method is that for longer positions, the number of the sequence being applied could be SO long, that the code is nob longer, "short-hand" for the sequence. The only solution I can see is for the code to be applied the the number's position in the sequence (p).

 

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Think you are way out of your league

Take your chess example

There Are More Games of Chess Possible Than Atoms In The Universe. ... Well, it's estimated that there are more possibleiterations of a game of chess than there are atoms in the known universe. In fact, the number of possible moves is so vast that no one has ever been able to calculate it exactly.Jun 16, 2016

https://curiosity.com/topics/there-...ossible-than-atoms-in-the-universe-curiosity/

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...there are more than that number of atoms in the universe.

 

Number of atoms in the known Universe

In layman’s terms, that works out to between ten quadrillion vigintillion and one-hundred thousand quadrillion vigintillion atoms

https://www.universetoday.com/36302/atoms-in-the-universe/

But but but it seems

There Are More Games of Chess Possible Than Atoms In The Universe. ... Well, it's estimated thatthere are more possible iterations of a game of chess than there are atoms in the known universe. In fact, the number of possible moves is so vast that no one has ever been able to calculate it exactly.Jun 16, 2016

https://curiosity.com/topics/there-...ossible-than-atoms-in-the-universe-curiosity/

My $10 calculator gave up

So I am as well

Coffee time

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Many games are named after the inventors of the game strategy.
Game six was the Ruy Lopez Opening (not)..... a very popular opening which can lead to many variations.....

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...is there anything the binary theory of mathematics CANNOT do...?

 

Good question. If binary function can solve all natural equations, that would be the model to beat, by Occams razor.

 

Needless to say, binary is not a function.

 

Can it make a decent cup of coffee?

 

https://en.wikipedia.org/wiki/Binary_function

I thought there were only "values and functions"
Zero (0) and One (1) are values, "binary processing is a function".....

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Sure, my coffee maker uses binary function to brew a delicious cup.....

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Does binary function froth up like full cream milk?

I might try it

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My binary theory of people says

• Some like to keep people in a single group
• Some like to divide people into two groups
• Others like to make three or more groupings

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Try a Keurig Coffeemaker. Makes a great and consistent cup of coffee in great variety............

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How's this:

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https://www.keurig.com/?cm_mmc=pdsc...reative_id]|pkw|keurig|pmt|e|pdv|c|product||&

I use the K-Select.

 

Perhaps this alludes to "binary opposition".

https://en.wikipedia.org/wiki/Binary_opposition

 

Actually I was referring to the truth theory that binary computing is based upon: the Boolean, "OR" operator.

Something is either true, or false. This relates to 0 (false) or 1 (true). Given that the two positions are polar opposites, the statement is true (1). Given that binary reveals truth, computing may be based upon this.

 

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Keurig® Milk Frother

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https://en.wikipedia.org/wiki/Computable_function