In this paper, we determine all the imaginary abelian number fields with class number one. There exist exactly 172 imaginary abelian number fields with class number one. The maximal conductor of these fields is 10921 = 67 • 163 , which is the conductor of the biquadratic number field Q(\/-67, v'—163).

The objective of this study is to find the temperature distribution of a slab as it moves through the pusher-type preheat furnaces. First, the imaginary planes method (IPM) as a new and applicable method for calculation of radiation heat transfer in industrial furnaces is studied, and the two-dimensional form of this method is used to calculate heat flux and temperature distribution in the furn...

This thesis considers two topics in the area of linear stochastic systems. The first topic is the construction of approximate finite dimensional linear time invariant (LTI) models for classical wide sense stationary stochastic signals with a non-coercive and non-rational spectral density, utilizing the recently developed theory of degree constrained rational interpolation. Non-coercive means th...

We present a framework for incorporating perception-induced beliefs into the knowledge base of a rational agent. Normally, the agent accepts the propositional content of perception and other propositions that follow from it. Given the fallibility of perception, this may result in contradictory beliefs. Hence, we model high-level perception as belief revision. Adopting a classical AGM-style beli...

Children may treat an invisible entity as a live and thinking entity, known as an imaginary companion (IC). Some researchers suggest that this is simply pretend play, but it is possible that children experience agency in their interactions with ICs. Given the literature on cognitive science and social brain research, we hypothesize that young children may have an agent-perception system that re...

The main goal of this study is obtaining analytical solutions for (3+1)-dimensional Jimbo-Miwa Equation which the second equation in well-known KP hierarchy integrable systems. For (3+1DJM) equation, hyperbolic, trigonometric, complex trigonometric and rational traveling wave have been constructed by applying (G'/G,1/G)-expansion method. Then, real imaginary graphics are presented giving specia...

A finite group $G$ is called rational if all its irreducible complex characters are rational valued. In this paper we discuss about rational groups with Sylow 2-subgroups of nilpotency class at most 2 by imposing the solvability and nonsolvability assumption on $G$ and also via nilpotency and nonnilpotency assumption of $G$.

Humans are capable of making inferences about other individuals' intentions and goals by evaluating their actions in relation to the constraints imposed by the environment. This capacity enables humans to go beyond the surface appearance of behavior to draw inferences about an individual's mental states. Presently unclear is whether this capacity is uniquely human or is shared with other animal...

Consider the time-periodic flow of an incompressible viscous fluid past a body performing rigid motion with non-zero translational and rotational velocity. We introduce framework homogeneous Sobolev spaces that renders resolvent problem associated linear well posed on whole imaginary axis. In contrast to cases without translation or rotation, estimates are merely uniform under additional restri...