|
Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
|
Buy Now
Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume V) (Hardcover)
Loot Price: R4,342
Discovery Miles 43 420
|
|
|
Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume V) (Hardcover)
Series: World Scientific Series on Nonlinear Science Series A, 80
Expected to ship within 12 - 17 working days
|
This penultimate volume contains numerous original, elegant, and
surprising results in 1-dimensional cellular automata. Perhaps the
most exciting, if not shocking, new result is the discovery that
only 82 local rules, out of 256, suffice to predict the time
evolution of any of the remaining 174 local rules from an arbitrary
initial bit-string configuration. This is contrary to the
well-known folklore that 256 local rules are necessary, leading to
the new concept of quasi-global equivalence.Another surprising
result is the introduction of a simple, yet explicit, infinite bit
string called the super string S, which contains all random bit
strings of finite length as sub-strings. As an illustration of the
mathematical subtlety of this amazing discrete testing signal, the
super string S is used to prove mathematically, in a trivial and
transparent way, that rule 170 is as chaotic as a coin toss.Yet
another unexpected new result, among many others, is the derivation
of an explicit basin tree generation formula which provides an
analytical relationship between the basin trees of
globally-equivalent local rules. This formula allows the symbolic,
rather than numerical, generation of the time evolution of any
local rule corresponding to any initial bit-string configuration,
from one of the 88 globally-equivalent local rules.But perhaps the
most provocative idea is the proposal for adopting rule 137, over
its three globally-equivalent siblings, including the heretofore
more well-known rule 110, as the prototypical universal Turing
machine.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
