Vreleksá

Zearen Wover · Joined: 09 Apr 2009 Posts: 42

I wasn't sure where to but this, but decided the dirty version was more of a rewriting then a new math. The clean version, which is not yet completed, is certainly alien enough to our mathematics, that I'd classify it under conlang. It's based on recursion of functions, starting with only two functions and an inversion marker, o, c and c. . Alas I have a lot of math to work out with this version, thus I will demonstrate DV (Dirty Version)

An overview of the script using the actual glyphs can be found here: fig. 1

This script has the advantage that variable numbers and numbers are always strait lines and dots where variable functions and functions are lines and at least one curve.

However, it can still be written with Latin characters, using Arabic numerals. The main idea is that everything is a function. c is the addition function, adding one to the given value. All functions have an inferred open parentheses, close parentheses is '|'. Eg.

c1|=2
c2|=3

o is technically a recursion marker, fzox| meaning 'take f(x) of itself z times'. Eg, f3ox| = f(f(f(x))). In FV (Formal Version), f0ox| = x for all f. A function followed by a dot means invert the function in FV, though it's used rather loosely in DV.

italics indicate standard notation or SN
cx|=x+1
czox|=x+z
c.x|=-x *In FV, this is x-1, one must write cxo0| for -x
c.zox|=x-z *Note that the arguments are reversed!

FV bases all other functions off c. DV however explicitly defines each function based on SN. Look at fig.1 to see the rest of the DV definitions. Note that exponentiation is e in latin, so:

ezox|=x^z *Notice how this is also backwards.

If one wants to add or multiply more than two numbers, one must use multiple functions, Ie

x+z+v=cvoczox||

Here are some more examples: fig. 2

What do you guys think, or do any of you have a conmath?
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Kiri · Joined: 13 Jun 2009 Posts: 471 Location: Latvia/Italy

I'm sorry, but the only way of me possibly understanding what you just said would be face-to-face in Latvian Very Happy

I don't know about conmath as a whole, but some here have non-decimal number systems, if you're interested in that.

Aert · Joined: 03 Jul 2008 Posts: 354

I developed a simple Chemistry notation that's helpful for biochem and basically anything with rings, if you're interested.

The letters are all the normal elements, but you could change them to whatever.

Tolkien_Freak · Posted: Fri Sep 25, 2009 9:29 pm Post subject:

I like the idea of conmath a lot. I'm just not enough of a math person to develop my own (though I might in the future, to give more depth to my conworld).

I think I understand what you're saying, but I'm not knowledgeable enough to comment on it.

Serali · Posted: Sat Sep 26, 2009 8:33 am Post subject:

Well math is not my subject but I have to say I find this fascinating indeed. I love the scripts.

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Tobo deu ne lenito sugu? - You kissed a frog?!

Dhanus · Admin Joined: 06 Jul 2007 Posts: 192

This is very interesting. I look forward to seeing more.

Kiri · Joined: 13 Jun 2009 Posts: 471 Location: Latvia/Italy

Actually, can anyone tell me the concept of a conmath, as itself? I mean, 2+2=4, and nothing can change that. Or am I wrong?

Zearen Wover · Joined: 09 Apr 2009 Posts: 42

Kiri · Joined: 13 Jun 2009 Posts: 471 Location: Latvia/Italy

Tolkien_Freak · Posted: Wed Sep 30, 2009 9:15 pm Post subject:

"Base" as in 'how many numbers do you count until you rewrite it one-zero'.

So base 10 is 1 2 3 4 5 6 7 8 9 10.

Emitare uses base 8, which is 1 2 3 4 5 6 7 10. (10 = what in English is called 'eight')

So for base 4 you have 1 2 3 10, and base 3 is 1 2 10.

Yeah, two plus two equals four, but you might end up writing that four as one-zero or one-one.

Kiri · Joined: 13 Jun 2009 Posts: 471 Location: Latvia/Italy

Yes all that is true, but what I'm saying is that two plus two equals four no matter if you write it as 8, 10, 14 or 98.

Tolkien_Freak · Posted: Thu Oct 01, 2009 11:23 am Post subject:

Yes.

So a conmath is merely a different way to write numbers, not different numbers.

Kiri · Joined: 13 Jun 2009 Posts: 471 Location: Latvia/Italy

Thank you, that's what I wanted to know Smile

Hemicomputer · Joined: 04 Feb 2008 Posts: 610 Location: Calgary, Alberta

Having learned much more math since when you first posted this, I think I get it now (though 'translating' the notated equations is still a mental workout).

So, some questions: You provide a differentiation function and an anti-differentiation function as the inverse of that; how would you write a definite integral? How would you write a limit? What contexts are the dirty/clean versions used in?

Also,

Tolkien_Freak · Posted: Sat Jan 22, 2011 12:45 pm Post subject:

achemel · Joined: 29 Mar 2009 Posts: 556 Location: up for debate

Hemicomputer · Joined: 04 Feb 2008 Posts: 610 Location: Calgary, Alberta

eldin raigmore · Posted: Sun Jan 23, 2011 10:20 am Post subject:

Zearen Wover · Joined: 09 Apr 2009 Posts: 42

eldin raigmore · Posted: Fri Feb 11, 2011 9:12 pm Post subject:

I need to look at this better when I have more time.
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