Re: [FRIAM] stygmergy, CA's, and [biological] development

> > On Sun, Oct 24, 2021 at 5:00 PM Frank Wimberly > wrote: > I want to clarify what a dual space is. The domain of dual.space can be mapped to any other domain :-) ___ stephen.gue...@simtable.com CEO, Simtable http://www.s

[FRIAM] Thread Bust: WAS: stygmergy, CA's, and [biological] development

Hey, Ed, Perhaps you are the person to answer this question: I have snared both of my grandchildren in CA #30, the -son because he is interested in pattern formation in regenerating planaria and the -daughter because she likes really neat stuff. I would like to give them simple programs s

Re: [FRIAM] stygmergy, CA's, and [biological] development

In an affine space (vector space + point), an ant’s position is a point and a path or trail can be described by vectors. __ Ed Angel Founding Director, Art, Research, Technology and Science Laboratory (ARTS Lab) Professor Emeritus of Computer Science, University of New Mexico 1017 Sier

Re: [FRIAM] stygmergy, CA's, and [biological] development

Focusing the application of ant foraging, what is the scalar product of an ant? What is the sum of two ants. Same questions for pheromone trails. If the answer is that scalar product and sum are not general enough. What are the homomorphisms of ants and pheromone trails? --- Frank C. Wimberly 1

Re: [FRIAM] In Case Those Links Didn't Work

A skill that many never seem to outgrow. On Sun, Oct 24, 2021 at 1:26 PM Frank Wimberly wrote: > Yeah, among other things they can all put their feet in their mouths. > > --- > Frank C. Wimberly > 140 Calle Ojo Feliz, >

Re: [FRIAM] stygmergy, CA's, and [biological] development

I want to clarify what a dual space is. I think it is much more general than Frank thinks it is: https://en.wikipedia.org/wiki/Adjoint_functors .-- .- -. - / .- -.-. - .. --- -. ..--.. / -.-. --- -. .--- ..- --. .- - . FRIAM Applied Complexity Group listserv Zoom Fridays 9:30a-12p Mtn UTC-6 bit.

Re: [FRIAM] stygmergy, CA's, and [biological] development

I want to clarify what a dual space is. I think it is much more specific than Jon thinks it is. A vector space is a linear space which consists of vectors for which addition and scalar multiplication are defined. Scalars are usually real numbers but may elements of other fields such a complex n

Re: [FRIAM] stygmergy, CA's, and [biological] development

""" The problem for me with this view is that I don't understand how seeing pheromone as 'organizing itself in space' is intuitively useful. """ I suppose that even if I didn't find this view *useful*, which I do and will attempt to explain momentarily, I continue to find that it offers a theoreti

Re: [FRIAM] In Case Those Links Didn't Work

Yeah, among other things they can all put their feet in their mouths. --- Frank C. Wimberly 140 Calle Ojo Feliz, Santa Fe, NM 87505 505 670-9918 Santa Fe, NM On Sun, Oct 24, 2021, 9:49 AM wrote: > Frank, > > > > In this photo I noticed something I had never noticed before about > sleeping babi

Re: [FRIAM] In Case Those Links Didn't Work

Frank, In this photo I noticed something I had never noticed before about sleeping babies. Notice how even in sleep some learning is apparently going on. Notice all the ways in which the limbs bridge and touch each other providing information about the relation between them. Fascina