Results 71 to 80 of about 114,954,330 (168)
Automatic Workout Mortgage and Housing Consumption Choice
ABSTRACT This paper further develops the Automatic Workout Mortgage (AWM) which embeds an insurance put option to reduce negative equity, systemic risk and promote economic recovery. We introduce a mathematical model showing that AWM raises household utility and increases housing demand.
Robert J. Shiller +3 more
wiley +1 more source
Advances in analysis, probability and mathematical physics: contributions of nonstandard analysis
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called 'Nonstandard analysis'. 'Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of ...
Luxemburg, Wilhelm A. J. +8 more
core +1 more source
ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
wiley +1 more source
Students' perspectives on the nature of mathematics [PDF]
This paper reports on one small component of a much larger study that explored the perspectives of students towards mathematics learning. Students were asked “What do you think maths is all about?” Some students responded in terms of mathematical content.
Taylor, Merilyn +3 more
core +1 more source
Aggregation and the Structure of Value
ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
wiley +1 more source
Maori preservice primary teachers’ responses to mathematics investigations [PDF]
There has been concern for some years about the low mathematics achievement of Maori students in New Zealand. This case study reports on the responses of 18 Maori preservice teachers to investigative approaches to learning mathematics during their ...
Hāwera, Ngārewa
core +1 more source
Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets
ABSTRACT In this work, we are motivated by a recent variant of the nonlinear Schrödinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of uncovering diverse stationary solutions in such NLS models.
Sun Lee +2 more
wiley +1 more source
Hyperordinals and nonstandard alpha-models
In this paper we extend the traditional set-theoretic notion of standard models and nonstandard models going up to alpha levels in the cumulative hierarchy, alpha any given limit ordinal.
DI NASSO, MAURO
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The Distribution of Addition and Subtraction Word Problems in Bruneian Elementary Mathematics Texts [PDF]
Mathematics textbooks and workbooks are an integral part of teaching and learning mathematics in Brunei Darussalam. Textbooks are written to closely reflect the contents of the Brunei Primary Mathematics Curriculum.
Harkirat S Dhindsa, . +5 more
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SEQUENTIAL ENDS AND NONSTANDARD INFINITE BOUNDARIES OF COARSE SPACES (Research Trends on General Topology and its Related Fields) [PDF]
This paper is an addendum to the author's previous paper ["A nonstandard invariant of coarse spaces, " The Graduate Journal of Mathematics, vol. 5, no. 1, pp. 1-8, 2020.]. Miller et al. [B. Miller, L. Stibich, and J. Moore, "An invariant of metric spaces
IMAMURA, TAKUMA
core

