It usually takes a great deal of effort to get molecular components to join up with one another and form discrete structures
such as rings.
The successive discrete structures
generated by a sequential algorithm from random input constitute a Markov chain that may exhibit long term dependence on its first few input values.
The prerequisites are the equivalent of undergraduate-level courses in either set theory, abstract algebra, or discrete structures
, but the text contains all the other mathematical background necessary.
For graduate or advanced undergraduate mathematics students who have completed an initial course in discrete mathematics or graph theory, Brown (mathematics, Dalhousie U.) introduces a number of discrete structures
that most graduate students in combinatorics seldom experience.
Finally, and on a broader perspective, the study of wave propagation and its application in physically pre-defined, inherently discrete structures
(and not discretized continuous structure) is gaining importance since these types of structures/networks offer a wide range of--e.g., synthesizing new materials--within the metamaterial framework.
This book presents methods for solving counting problems and other problems that involve discrete structures
. Using examples, problems, theorems, and proofs, Erickson (Mathematics, Truman State University) illustrates the relationship of discrete structures
to algebra, geometry, number theory, and combinatorics.
It aims to unite research projects of scholars from Russia, Kyrgyzstan, Kazakhstan and Uzbekistan through sharing experiences and passing knowledge to young scholars.The international school-seminar has several sections: engineering networks, automation of production, optimization of discrete structures
, transport and other technical systems.
It will require global powertrains and unique applications and options, common electronic architectures and distinctive plug-and-play systems, and mix-and-match components that can be combined to create discrete structures
There is some precedent for the vibration-induced formation of long-lived, discrete structures
in a material that usually flows.
The elucidation of the hierarchical discrete structures
in the utilization of space is of primary importance for further structuring of space.
The organizational structure of the hypothalamus of teleosts comprises functional nuclei as discrete structures
distributed along the longitudinal axis of the brain, in a medial--ventral localization.