In this paper, we introduce a new operation on the species, the exponential composition of species, which is constructed based on the arithmetic product and the quotient species, and get a functional equation expressing the species of connected graphs as the exponential composition of the species of prime graphs with respect to the Cartesian multiplication.

Fuzzy control is one of the most important parts of fuzzy theory for which several approaches exist. Mamdani uses $alpha$-cuts and builds the union of the membership functions which is called the aggregated consequence function. The resulting function is the starting point of the defuzzification process. In this article, we define a more natural way to calculate the aggregated consequence funct...

In this work, the use of interval arithmetic is considered to increase robustness of geometric classification algorithms in B-Rep solid modeling systems. The classification algorithms, also known as incidence tests, are important to keep the consistency between topology and geometry in a solid model during the application of Boolean operations. An error in the incidence test has deep impact ove...

This paper presents a paradigm of real-time processing on the lowest level of computing systems: the arithmetic unit. The arithmetic unit based on this principle containing addition, subtraction, multiplication and division operations is described. The development of the computation model is based on the Soft Computing and the Imprecise Computation paradigms, combined with the MSBFirst and the ...

Functional neuroimaging data have pointed to the activation of a fronto-parietal network during calculation tasks, the activity of which is modulated by arithmetic operation and arithmetical competence. As the cortical brain regions of this network are distant, it is crucial to investigate the white matter connections between them and to examine how these connections are related to different ar...

The feasibility of Quantum Computer with Super Computing capability is addressed here. We describe a Arithmetic Logic Unit for Quantum Computer and show how the algebra is modified if the information is kept in phase for Radix-4 operation. We formulate Quaternary adder, subtractor, multiplier and divider circuits using basic quantum gates.

This paper describes the application of high radix redundant CORDIC algorithms to complex logarithmic number system arithmetic. It shows that a CLNS addition can be performed with approximately the same hardware as a high-radix CORDIC operation. A design example comparable to single precision floating point has been designed and simulated.

In design of complex arithmetic logic circuits, ground bounce noise, standby leakage current and leakage power are important and challenging issues in nanometer down scaling. In this paper, a low power, low complex and reduced ground bounce noise full adder design based on pass transistor logic (PTL) is proposed. Basically adder is vital part of complex arithmetic logic circuit in arithmetic op...