Layout parameter analysis in Shannon expansion theorem based on 32 bit adder circuit
The 1-bit adder circuits are schematized using pass transistor logic (PTL) technique, that’s optimized by the Shannon expansion theorem. The proposed 32 bit carry increment adder (CIA) circuit is designed by bit slice method.
C. Senthilpari +3 more
doaj +4 more sources
Analysis of physical expansion and sprawl growth factors of Sari city using Shannon and Heldern entropy models [PDF]
Population growth and rapid urbanization growth in recent decades have not only led to unbalanced physical expansion of cities, but also contributed to growth and development of cities.
Mohammad Mehdi Nasiri Khalili +5 more
doaj +3 more sources
Logical optimization of Boolean nets using Shannon expansion
A synthesis of logical circuits, comprising functional combination blocks of very large scale integration circuits, is one of the most important tasks of computer-aided design.
P. N. Bibilo, Yu. Y. Lankevich
doaj +2 more sources
GENERALIZATION OF THE SHANNON EXPANSION FOR INCOMPLETELY SPECIFIED FUNCTIONS: THEORY AND APPLICATION
The well known Shannon expansion is not applicable to incompletely specified functions. We propose a theory that merges Boolean and partial algebras and provides creation of new representations and expansions of partially specified functions.
A. A. Prikhozhy
doaj +3 more sources
In the systems of digital VLSI design (Very Large Integrated Circuits), the BDD (Binary Decision Diagram) is used for VLSI verification, as well as for technologically independent optimization as the first stage in the synthesis of logic circuits in ...
P. N. Bibilo, V. I. Romanov
doaj +2 more sources
Pricing Early-Exercise and Discrete Barrier Options by Shannon Wavelet Expansions [PDF]
We present a pricing method based on Shannon wavelet expansions for early-exercise and discretely-monitored barrier options under exponential Lévy asset dynamics. Shannon wavelets are smooth, and thus approximate the densities that occur in finance well, resulting in exponential convergence. Application of the Fast Fourier Transform yields an efficient
S. C. Maree +2 more
openalex +4 more sources
A non-negative expansion for small Jensen-Shannon Divergences [PDF]
In this report, we derive a non-negative series expansion for the Jensen-Shannon divergence (JSD) between two probability distributions. This series expansion is shown to be useful for numerical calculations of the JSD, when the probability distributions are nearly equal, and for which, consequently, small numerical errors dominate evaluation.
A Daniel Raj, Chris H. Wiggins
openalex +3 more sources
Network Analysis via Pseudo-Boolean Functions and Boole-Shannon Expansion
This paper shows the significant simplicities that can be realized for network analysis when the edge capacity is big enough to allow a large value of flow. We use a network decomposition method, which substantially simplifies network analysis. The pseudo-Boolean functions are repeatedly subjected to Boole-Shannon expansion about appropriate keystone ...
Omar Mutab Alsalami +1 more
openalex +3 more sources
Generalization of Boole-Shannon expansion, consistency of Boolean equations and elimination by orthonormal expansion [PDF]
The well known Boole-Shannon expansion of Boolean functions in several variables (with co-efficients in a Boolean algebra $B$) is also known in more general form in terms of expansion in a set $ $ of orthonormal functions. However, unlike the one variable step of this expansion an analogous elimination theorem and consistency is not well known.
Virendra Sule
openalex +3 more sources
Effects of Veratrum nigrum expansion on soil microbial community structure in inner Mongolian mountain steppe [PDF]
BackgroundsThe expansion of poisonous weeds can significantly affect soil microbial communities and their ecosystem functions. In this regard, the poisonous weed Veratrum nigrum has impacted vast regions of Inner Mongolia, with potential impacts on the ...
Bo Pang +7 more
doaj +2 more sources

