Further applications of a general rate conservation law

The Most General Conservation Law for a Cellular Automaton

We study the group-valued and semigroup-valued conservation laws in cellular automata (CA). We provide examples to distinguish between semigroup-valued, group-valued and real-valued conservation laws. We prove that, even in one-dimensional case, it is undecidable if a CA has any non-trivial conservation law of each type. For a fixed range, each CA has a most general (group-valued or semigroup-v...

Strong Equivilence Principle and Conservation Law Implicated in General Relativity

After brief review of the quality of stress tensor for matter and the pseudotensor for gravitavity, a formulation the same as the mechanics conservation law in the classic mechanics is obtained using the post-newtonion approxy method. This makes one know that the gravity energy-momentum should be non-local quantity and also makes the the early hypothesis of Einstein on strong equivilence has it...

Applications of a group in general fuzzy automata

 ‎Let $tilde{F}=(Q,S,tilde{R},Z,omega,tilde{delta},‎ F_1,F_2)$‎ ‎be a general fuzzy automaton and the set of its states be a group.‎ ‎The aim of this paper is the study of applications of a group in a‎ ‎general fuzzy automaton‎. ‎For this purpose‎, ‎we define the concepts‎ ‎of fuzzy normal kernel of a general fuzzy automaton‎, ‎fuzzy kernel‎ ‎of a general fuzzy automaton‎, ‎adjustable‎, ‎multip...

The Conservation Law

The General Distributional Little's Law and its Applications

We generalize the well-known Little's law E[L] = AE([W to a distributional form: L No(W), where N (t) is the number of renewals up to time t for the equilibrium arrival process, L is the number in the system (or in the queue) and W the time spent in the system (or in the queue) under FCFS. We provide two proofs of the result. In the process we generalize a well known theorem of Burke on the equ...