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A Course in Pure and Applied Mathematics [PDF]
H. J. Halstead, Douglas Harris
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Mathematics, word problems, common sense, and artificial intelligence [PDF]
The paper discusses the capacities and limitations of current artificial intelligence (AI) technology to solve word problems that combine elementary mathematics with commonsense reasoning. No existing AI systems can solve these reliably.
E. Davis
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In this work we argue that there is no strong demarcation between pure and applied mathematics. We show this first by stressing non-deductive components within pure mathematics, like axiomatization and theory-building in general.
José Antonio Pérez-Escobar+1 more
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Mathematical Modeling of Wax Deposition in Field-Scale Crude Oil Pipeline Systems
The formation of solid wax crystals, which interlock and form a gel-like layer on the inner wall of the crude oil pipeline, influences the transportation of waxy crude oil. The deposited layer grows continuously and hardens during the oil transportation,
Francis Oketch Ochieng+3 more
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Hydromagnetic Non-Newtonian Fluid Flow in a Convergent Conduit
In the present study, a hydromagnetic non-Newtonian (dilatant) fluid flow in a convergent conduit, in the presence of a variable transverse magnetic field, has been investigated.
Njue Caroline Wawira+2 more
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Computing some Laplacian Coefficients of Forests
Let G be a finite simple graph with Laplacian polynomial ψG,λ=∑k=0n−1n−kckλk. In an earlier paper, the coefficients cn−4 and cn−5 for forests with respect to some degree-based graph invariants were computed. The aim of this paper is to continue this work
Ali Ghalavand, Ali Reza Ashrafi
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Advancing mathematics by guiding human intuition with AI
The practice of mathematics involves discovering patterns and using these to formulate and prove conjectures, resulting in theorems. Since the 1960s, mathematicians have used computers to assist in the discovery of patterns and formulation of ...
A. Davies+13 more
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Metric Dimension Threshold of Graphs
Let G be a connected graph. A subset S of vertices of G is said to be a resolving set of G, if for any two vertices u and v of G there is at least a member w of S such that du,w≠dv,w.
Meysam Korivand+2 more
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hα-Open Sets in Topological Spaces [PDF]
In our work we introduced a new type of open sets is defined as follows: If for each set that is not empty M in X, M≠X and M ∈τ^∝such that A ⊆ int(A∪M). then A in (X,τ) is named h∝-open set. We also go through the relationship between h∝- open sets and a
Baedaa Abdullah+2 more
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