By Krassimir T Atanassov
A research of Fibonacci sequences and the well known Fibonacci numbers. it's going to be of curiosity to analyze mathematicians wishing to boost the tips themselves, and to leisure mathematicians, who should still benefit from the a number of visible methods and the issues inherent in them. there's a carrying on with emphasis on diagrams, either geometric and combinatorial, which is helping to tie disparate issues jointly, weaving round the unifying topics of the golden suggest and numerous generalizations of the Fibonacci recurrence relation. little or no previous mathematical wisdom is believed, except the rudiments of algebra and geometry, so the textual content can be used as a resource of enrichment fabric and undertaking paintings for college kids. A bankruptcy on video games utilizing goldpoint tiles is integrated on the finish, and it seeks to supply a lot fabric for exciting mathematical actions regarding geometric puzzles of a combinatoric nature
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Extra resources for Applications of Generalized Nets
0 From the construction of the above proof follows the validity of THEOREM 1. 3. 3: Every ordinary GN (or a GN-PCF) can be represented by a reduced GN with a global memory but without the set of initial characteristics and ons. the characteristic functi Chapter 2: SOME APPLICATIONS OF GENERALIZED NETS IN SCIENCE In this chapter different results are included ted to the application of the GHs in some areas applied mathematics, artificial intelligence and illustrations ntfiicb are rela of science scientometrix.
Proc. of the 14-th Generalized Methods of Operations Research, Symposium on Operations Research. Ulm, Sept. 1989, 417-423.  K. Atanassov, L. Atanassova, E. Dimitrov, ski, M. Marinov and S. Petkov, tems. IV. Proc. of the G. Gargov, I. Kazalar- Generalized nets and expert XIX Spring Conf. of sys the Union of Bulg. Math. , Sunny Beach, April 1990, 155-161.  L. Hadjyisky and K. Atanassov, A generalized net, representing the elements of one neuron network set, AMSE Review Vol. 14, No. 4, 1990, 55-59.
The relations among the places are given by the conditions: 1 11 11 r = 4 where - "F - 1", W 10 w 11 = nW , 10 1 12 12 l 1 i w 10 I 10 lO W w 11 1 I W 13 I 10 W 11 l I w 14 I lO w 11 56 CHAPTER 2 1 13 13 r = 5 5 1 14 14 1 | W 13 I 12 13 I 12 W 13 13 1 I W 14 12 14 I I 12 W 13 13 where W = "F = 1", 12 - IV W 13 , 12 where the parameters R and F have the following values: 1, if C d, old = C, d d, old