On the Iota-Delta Function: Universality in Cellular Automata's Representation
نویسندگان
چکیده
Universality has always played a major role in every branch of science. Since the advent of cellular automata (CAs), this type of model has been widely applicable to the modeling of physical phenomena. On the other hand, the way the evolution rules were described lacked a unified formulation in terms of mathematical functions. In the present paper, a general formulation that is able to describe every elementary CA is derived. The new representation is given in terms of a new function hereby defined: the iota-delta function.
منابع مشابه
On the Iota-Delta Function: Mathematical Representation of Two-Dimensional Cellular Automata
Even though the patterns appearing in the evolution of two-dimensional cellular automata have been deeply studied, the evolution rules themselves have not received the same amount of attention. In the present paper, the evolution rules of totalistic and outer totalistic two-dimensional cellular automata for a set of neighborhood templates have been expressed in terms of the iota-delta function....
متن کاملCloning of Clostridium perfringens iota toxin gene in Escherichia coli
Iota toxin is produced by Clostridium perfringens type E. This toxin causes antibiotic-associated enterotoxemia in lambs and calves. Iota toxin is a binary toxin that has two components including Ia (the enzyme component) and Ib (the binding component). Ib binds to the surface receptor of target cells and translocate Ia into the cytosol of cells. The aim of this study was to clone toxigenic epi...
متن کامل$(A)_ {Delta}$ - double Sequence Spaces of fuzzy numbers via Orlicz Function
The aim of this paper is to introduce and study a new concept ofstrong double $(A)_ {Delta}$-convergent sequence offuzzy numbers with respect to an Orlicz function and also someproperties of the resulting sequence spaces of fuzzy numbers areexamined. In addition, we define the double$(A,Delta)$-statistical convergence of fuzzy numbers andestablish some connections between the spaces of stron...
متن کاملOn Character Space of the Algebra of BSE-functions
Suppose that $A$ is a semi-simple and commutative Banach algebra. In this paper we try to characterize the character space of the Banach algebra $C_{rm{BSE}}(Delta(A))$ consisting of all BSE-functions on $Delta(A)$ where $Delta(A)$ denotes the character space of $A$. Indeed, in the case that $A=C_0(X)$ where $X$ is a non-empty locally compact Hausdroff space, we give a complete characterizatio...
متن کاملCellular uptake of the Clostridium perfringens binary iota-toxin.
The binary iota-toxin is produced by Clostridium perfringens type E strains and consists of two separate proteins, the binding component iota b (98 kDa) and an actin-ADP-ribosylating enzyme component iota a (47 kDa). Iota b binds to the cell surface receptor and mediates the translocation of iota a into the cytosol. Here we studied the cellular uptake of iota-toxin into Vero cells. Bafilomycin ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Complex Systems
دوره 21 شماره
صفحات -
تاریخ انتشار 2013