We introduce the notions of complex-valued overlap, complex-valued 0-overlap, complex-valued 1-overlap, and general complex-valued overlap functions, which can be regarded as the generalizations of the concepts of overlap, 0-overlap, 1-overlap, and general overlap functions, respectively. We study some properties of these complex-valued overlap functions...
F-Rep represents shapes in n-D space as single real-valued functions f (x1,…,xn). By definition, points with a function result above zero are inside the object, a value equal to zero indicates the border, called isosurface; values below zero define the outside of the object. This ...
The prior inventories and scales on gaming motives had significant overlap with the motive factors and categories identified in the current study. The open-ended development of the MAP model thus appears to substantiate the factors of earlier models. However, in terms of model comprehensiveness, it ...
In the adult case, the high b-value DWI signal may fall below the Rician noise floor so the complex valued signal model seems advisable. In the neonatal case, we encounter a challenging acquisition protocol, where high spatial resolution DWI information has been acquired along four different PE...
Recall the notion of matrix valued Herglotz functions (often also called Nevanlinna functions). 2.1 Definition An analytic function \(M:{\mathbb {C}}\setminus {\mathbb {R}}\rightarrow {\mathbb {C}}^{n\times n}\) is called a (\(n\times n\)-matrix valued) Herglotz function, if (...
The general computation, however, is much more elusive than its bosonic counterpart, due to the complex structure of the space of fixed-point wave functions of onsite symmetries, denoted by Ψd(Gσ). This is further complicated by the fact that the stacking operation of fermionic wave ...
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It is another object of the present invention to provide a novel apparatus for performing complex, signed multiplication of serial data. These and other objects of the invention are achieved in a novel signed multiplication logic designed for multiplying two serial binary numbers to obtain a serial...
wherein each of the reducer circuits is part of one of the computing cores, and wherein each of the reducer circuits is configured to receive the output data from each of the coprocessors of the associated computing core, to apply one or more functions to the output data, and to provide...
cit. It uses somewhat less complex circuitry than Greenberger, but offers no significant advantage. Although the algorithm yields a straight forward structure which does not use any "multipliers", the gate count is prohibitively high, nearing that of a full multiplier filter structure. Thus it ...