Results 11 to 20 of about 268,175 (305)
Holomorphicity of Slice-Regular Functions [PDF]
Slice-regular functions of a quaternionic variable have been studied extensively in the last 12 years, resulting, in many ways, quite close to classical holomorphic functions of a complex variable; indeed, there is a correspondence between slice-regular functions and a certain family of holomorphic maps from the complex plane to $\mathbb{C}^4$, as ...
Mongodi S.
openaire +6 more sources
Spherical Coefficients of Slice Regular Functions [PDF]
AbstractGiven a quaternionic slice regular function f, we give a direct and effective way to compute the coefficients of its spherical expansion at any point. Such coefficients are obtained in terms of spherical and slice derivatives of the function itself. Afterwards, we compare the coefficients of f with those of its slice derivative $$\partial _{c}f$
amedeo altavilla
openaire +5 more sources
$*$-exponential of slice-regular functions [PDF]
According to [5] we define the $*$-exponential of a slice-regular function, which can be seen as a generalization of the complex exponential to quaternions. Explicit formulas for $\exp_*(f)$ are provided, also in terms of suitable sine and cosine functions.
Altavilla A., de Fabritiis C.
openaire +4 more sources
The complexity of central slice functions
The k-slice of a Boolean function \(f(x_ 1,...,x_ n)\) is the function \(f_ k=(f\wedge T^ n_ k)\vee T^ n_{k+1}\), where \(T^ n_ k\) is the k-th threshold function. Berkowitz has shown that the nonmonotone combinational and monotone circuit complexities of any k-slice function differ by at most an additive term of O(n log\({}^ 2 n)\).
Dunne, Paul E.
openaire +2 more sources
More on the complexity of slice functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wegener, Ingo
openaire +2 more sources
Accelerating global left-ventricular function assessment in mice using reduced slice acquisition and three-dimensional guide-point modelling [PDF]
Background To investigate the utility of three-dimensional guide-point modeling (GPM) to reduce the time required for CMR evaluation of global cardiac function in mice, by reducing the number of image slices required for accurate quantification of left ...
Neubauer Stefan +4 more
doaj +2 more sources
Network Slice Robustness with Function Sets
Network slicing allows leveraging virtualization techniques for the creation of multiple, logically-isolated network instances over a shared infrastructure. In general, it is composed of a set of unique network functions with a specific physical capacity request.
Yellas, Nour-El-Houda +4 more
openaire +2 more sources
A New Approach to Slice Analysis Via Slice Topology [PDF]
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepen some of them by proving new results and discussing some examples. We then show, following Dou et al.
Sabadini I., Jin M., Ren G., Dou X.
core +1 more source
Systematic review of the clinical effectiveness and cost-effectiveness of 64-slice or higher computed tomography angiography as an alternative to invasive coronary angiography in the investigation of coronary artery disease [PDF]
Objectives: To assess the clinical effectiveness and cost-effectiveness, in different patient groups, of the use of 64-slice or higher computed tomography (CT) angiography, instead of invasive coronary angiography (CA), for diagnosing people with ...
Cummins, E. +21 more
core +1 more source
Precision cut liver slices represent an encouraging ex vivo method to understand the pathogenesis of liver disease alongside drug induced liver injury.
S J Chidlow, L E Randle, R A Kelly
doaj +1 more source

