Middendorf, On physical mapping and the consecutive ones property for sparse matrices, Discrete Appl. Math. 71 (1-3) (1996) 23-40.Atkins, J., Middendorf, M.: On physical mapping and the consecutive ones property for sparse matrices. Discrete Applied Mathematics 71, 23–40 (1996) MATH ...
Applied Mathematics & Humanities DepartmentScientific ResearchAmerican Journal of Operations ResearchGupta, S., Dalal, U.D. and Mishra, V.N. (2014) Novel Analytical Approach of Non Conventional Mapping Scheme with Discrete Hartley Transform in OFDM System. American Journal of Operations Research, 4,...
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Injectivity radius 摘要 We reflect upon an analogue of the cut locus, a notion classically studied in Differential Geometry, for finite graphs. The cut locus C(x) of a vertex x shall be the graph induced by the set of all vertices y with the property that no shortest path between x and...
Single-cell genomic technologies enable the multimodal profiling of millions of cells across temporal and spatial dimensions. However, experimental limitations hinder the comprehensive measurement of cells under native temporal dynamics and in their nati
When restricted to the set of irrationals, which is a subspace of the Euclidean space R, the continued fraction mapping is a homeomorphism onto the product space NN, where N is a discrete space. In this short note, we examine the continuity of the continued fraction mapping, addressing both...
ChatGPT’s rather pathetic skills at basic mathematics in February 2023 — Credit: OpenAI Today, for mathematics at least, ChatGPT looks like it’s started to pay a little more attention at school: Credit: OpenAI But what about geography? Has ChatGPT — or any other so called ‘AI’ ...
In this paper, we are concerned with finding an analytical representation of a self-consistent Hamiltonian operator \(\hat{H}=-\frac{1}{2}{\nabla }^{2}+{V}_{{{\rm{eff}}}\) in discrete basis representation. Hamiltonians for extended materials in atomic orbital basis representation To ac...
LetOandYbe compact, connected, orientable surfaces, whereYis further assumed to be closed. For eachd≥2, writeYdfor the surface that results from removingd+1open disks fromY. From this data, we construct a non-compact surfaceCd(O,Y)by gluing copies ofYdtoOin a tree-like manner; see ...
The System can optimize the path of the drone utilizing intelligent CNC cutter-path mathematics to define the path of a data collection drone to most efficiently calculate needed information for a variety of layers in a variety of spectrum. This will allow, the maintenance a constant data ...