Introducing Clifford algebra as the mathematical foundation, a unified spatio‐temporal data
model and hierarchical spatio‐temporal index are constructed by linking basic data objects …

Most contemporary quantum programming languages describe computation as circuits,
using a host classical counterpart to drive the execution of quantum programs. However, the …

Existing abstract models of quantum computation make reference to circuit elements, much
in contrast to their classical counterparts. Circuits, as a model of computation, substantially …

Clifford algebra is introduced as a theoretical foundation for network topology expression
and algorithm construction. Network nodes are coded with basis vectors in a vector space …

The paper is inspired by a spectral decomposition and fractal eigenvectors for a class of
piecewise linear maps due to Tasaki et al.[1994] and by an ad hoc explicit derivation of the …

Geometric or Clifford algebra (CA) is a powerful mathematical tool that offers a natural and
intuitive way to model geometric facts in a number of research fields, such as robotics …

Given a polynomial f with coefficients from a field F, is it easier to compute f over an
extension ring R than over F? We address this question, and show the following. For every …

The present study develops the Clifford algebra Cl 5, 0 within a dermatological task to
diagnose skin melanoma using images of skin lesions, which are modeled here by means of …

Nilpotent adjacency matrix methods are employed to count k-cycles in simple graphs on n
vertices for any k≤ n. The worst-case time complexity of counting k-cycles in an n-vertex …

Melanoma is a deadly skin disease. Availability of digital skin lesion datasets ease the
exploration of ample classification studies. Both theoretical and heuristics improvements are …