منابع مشابه
A brief historical perspective of the Wiener–Hopf technique
It is a little over 75 years since two of the most important mathematicians of the 20th century collaborated on finding the exact solution of a particular equation with semi-infinite convolution type integral operator. The elegance and analytical sophistication of the method, now called the Wiener–Hopf technique, impress all who use it. Its applicability to almost all branches of engineering, m...
متن کاملWiener Matrix Sequence, Hyper-Wiener Vector, Wiener Polynomial Sequence and Hyper-Wiener Polynomial of Bi-phenylene
The Wiener matrix and the hyper-Wiener number of a tree (acyclic structure), higher Wiener numbers of a tree that can be represented by a Wiener number sequence W, W,W.... whereW = W is the Wiener index, and R W k K ,.... 2 , 1 is the hyper-Wiener number. The concepts of the Wiener vector and hyper-Wiener vector of a graph are introduced for the molecular graph of bi-phenylene. Moreover, ...
متن کاملComputing Wiener and hyper–Wiener indices of unitary Cayley graphs
The unitary Cayley graph Xn has vertex set Zn = {0, 1,…, n-1} and vertices u and v are adjacent, if gcd(uv, n) = 1. In [A. Ilić, The energy of unitary Cayley graphs, Linear Algebra Appl. 431 (2009) 1881–1889], the energy of unitary Cayley graphs is computed. In this paper the Wiener and hyperWiener index of Xn is computed.
متن کاملWiener Way to Dimensionality
This note introduces a new general conjecture correlating the dimensionality dT of an infinite lattice with N nodes to the asymptotic value of its Wiener Index W(N). In the limit of large N the general asymptotic behavior W(N)≈Ns is proposed, where the exponent s and dT are related by the conjectured formula s=2+1/dT allowing a new definition of dimensionality dW=(s-2)-1. Being related to the t...
متن کاملNorbert Wiener
T hrough the week of October 8–14, 1994, a conference entitled “The Legacy of Norbert Wiener: A Centennial Symposium” was held at the Massachusetts Institute of Technology. The idea, of course, was to honor Norbert Wiener on this occasion and to review his contributions to mathematics, science, and engineering, but a deeper purpose was to bring out the significance of the interactions among the...
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ژورنال
عنوان ژورنال: DMW - Deutsche Medizinische Wochenschrift
سال: 1894
ISSN: 0012-0472,1439-4413
DOI: 10.1055/s-0029-1205638