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Beyond + and -
#21
(05/28/2014, 04:33 PM)JmsNxn Wrote: I used to think about trying to generalize arithmetic operations like negation and addition. I never came to three but I did come up with the following operator that I thought was very interesting:

which is holo in and by doing a little calculus that I'm too lazy to do atm ^_^.

It has the cool property

and

Then we define a nice metric:



so that


Now we see we can start talking about calculus even because this operator is continuous.

I always liked the box derivative:







and general box analysis ^_^

This may be a little off topic, this thread just reminded me of this.

Notice this is just the generalized distributive property with r = -1 :

http://math.eretrandre.org/tetrationforu...hp?tid=520

And also the box derivative is known to me.
Reminds me of the " q-derivative ".

regards

tommy1729
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Messages In This Thread
Beyond + and - - by Benny - 08/16/2012, 05:35 PM
RE: Beyond + and - - by JmsNxn - 08/17/2012, 01:25 AM
RE: Beyond + and - - by Benny - 08/17/2012, 11:58 AM
RE: Beyond + and - - by tommy1729 - 08/17/2012, 03:18 PM
RE: Beyond + and - - by Benny - 08/19/2012, 05:24 PM
RE: Beyond + and - - by tommy1729 - 08/21/2012, 11:04 PM
RE: Beyond + and - - by tommy1729 - 08/22/2012, 11:04 AM
RE: Beyond + and - - by Benny - 08/22/2012, 12:09 PM
RE: Beyond + and - - by tommy1729 - 08/22/2012, 02:05 PM
RE: Beyond + and - - by Benny - 08/22/2012, 06:34 PM
RE: Beyond + and - - by tommy1729 - 08/22/2012, 10:07 PM
RE: Beyond + and - - by tommy1729 - 08/22/2012, 10:20 PM
RE: Beyond + and - - by Benny - 08/23/2012, 12:08 PM
RE: Beyond + and - - by tommy1729 - 08/23/2012, 02:12 PM
RE: Beyond + and - - by Benny - 08/23/2012, 03:33 PM
RE: Beyond + and - - by tommy1729 - 08/23/2012, 04:12 PM
RE: Beyond + and - - by Benny - 08/23/2012, 07:41 PM
RE: Beyond + and - - by hixidom - 05/28/2014, 01:40 AM
RE: Beyond + and - - by JmsNxn - 05/28/2014, 04:33 PM
RE: Beyond + and - - by hixidom - 05/28/2014, 04:46 PM
RE: Beyond + and - - by tommy1729 - 05/28/2014, 10:44 PM



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