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This essay surveys the different types of infinity that occur in pure and applied mathematics, with emphasis on: 1. the contrast between potential infinity and actual infinity; 2.
Fletcher, P
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HOW APPLIED MATHEMATICS BECAME PURE [PDF]
This paper traces the evolution of thinking on how mathematics relates to the world—from the ancients, through the beginnings of mathematized science in Galileo and Newton, to the rise of pure mathematics in the nineteenth century. The goal is to better understand the role of mathematics in contemporary science.
openaire +2 more sources
Contexts for ‘pure’ mathematics: a framework for analysing A-level mathematics papers
The use of context in mathematics test items is now accepted practice in many forms of national assessment in the UK. Yet research suggests that such use of context is not straightforward and that children may apply a variety of interpretations to ...
Jones, Keith, Little, Chris
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Models involving four species with prey refuge and type I responses have been studied with recommendations on their extension to include either type II or type III responses.
Odhiambo Francis +3 more
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h-Almost Ricci solitons with concurrent potential fields
In this paper, we will focus our attention on the structure of h-almost Ricci solitons. A complete classification of h-almost Ricci solitons with concurrent potential vector fields is given.
Hamed Faraji +2 more
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On Edge H-Irregularity Strength of Hexagonal and Octagonal Grid Graphs
The edge H-irregularity strength, ehsΓ,H, of a graph Γ is the smallest integer k, such that Γ has an H-irregular edge k-labeling. In this study, we compute the exact value of edge H-irregularity strength of hexagonal and octagonal grid graphs.
Muhammad Ibrahim +3 more
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This study reports the fabrication of trabecular bioactive glass scaffolds (composition “1d”: 46.1SiO2‐28.7CaO‐8.8MgO‐6.2P2O5‐5.7CaF2‐4.5Na2O wt%) through vat photopolymerization and the relevant results from mechanical testing and in vivo implantation procedures in rabbit femora, showing great promise for bone tissue engineering applications.
Dilshat Tulyaganov +8 more
wiley +1 more source
Two-Player Tower of Hanoi [PDF]
The Tower of Hanoi game is a classical puzzle in recreational mathematics (Lucas 1883) which also has a strong record in pure mathematics. In a borderland between these two areas we find the characterization of the minimal number of moves, which is $2^n ...
Chappelon, Jonathan +2 more
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In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart +3 more
wiley +1 more source
Principal Intuitionistic Fuzzy Ideals and Filters on a Lattice
In this paper, we generalize the notion of principal ideal (resp. filter) on a lattice to the setting of intuitionistic fuzzy sets and investigate their various characterizations and properties.
Boudaoud Sarra +2 more
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