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Mathematical Models of Hysteresis

Physical Review Letters, 1986
A new approach to Preisach's hysteresis model, which emphasizes its phenomenological nature and mathematical generality, is briefly described. Then the theorem which gives the necessary and sufficient conditions for the representation of actual hysteresis nonlinearities by Preisach's model is proven.
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Models and Mathematics

JAMA, 1965
Scientific investigation is a particular search for a comprehensive view of nature; it is, in effect, a matter of proposing questions concerning phenomena and then searching for the answers in a systematic manner. An important aspect of this investigation, therefore, is the separation of the currently answerable from the unanswerable questions.
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Mathematical Modeling: A Structured Process.

, 2015
A task about locating a lost cell phone illustrates the Common Core elements of mathematical modeling.
C. Anhalt, R. Cortez
semanticscholar   +1 more source

Mathematical models for positioning

1992
The code pseudorange at an epoch t can be modeled, cf. Eq. (6.2), by $$R_{i}^{j}(t) = \varrho _{i}^{j}(t) + c\Delta \delta _{i}^{j}(t).$$ (8.1) Here, R i j (t) is the measured code pseudorange between the observing site i and the satellite j, ϱ i j is the geometric distance between the satellite and the observing point, and c is the speed of ...
Herbert Lichtenegger   +2 more
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Mathematical modelling of metabolism

Current Opinion in Plant Biology, 2000
Modelling of metabolism attempts to improve our understanding of metabolic regulation by quantifying essential parts or aspects of the metabolic system. Three areas in which modelling has recently made considerable contributions toward this aim can be identified.
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Electrocochleography by mathematical modelling

International Journal of Bio-Medical Computing, 1976
The aim of this work is to critically review some of the classical electrocochleographic methods in accordance with the systems theory: (a) in describing, by means of mathematical models, the different parts of the auditory system concerned in the generation of stimulus-evoked signals; and: (b) in comparing the outputs of these models with the ...
Emanuele Biondi, Ferdinando Grandori
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Mathematical Modeling and Pure Mathematics

Mathematics Teaching in the Middle School, 2015
Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics.
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Mathematical Modeling in Mathematics Education: Basic Concepts and Approaches.

, 2014
Mathematical modeling and its role in mathematics education have been receiving increasing attention in Turkey, as in many other countries. The growing body of literature on this topic reveals a variety of approaches to mathematical modeling and related ...

semanticscholar   +1 more source

The Mathematical Model

2016
In this chapter we derive the system characterizing the stationary oscillations of thin elastic plates with transverse shear deformation proposed in [56]. We assume that the body forces have a time-harmonic form, which we substitute into the full classical three-dimensional elasticity model to obtain a time-independent system.
William Hamill   +2 more
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Models and mathematics

The Arithmetic Teacher, 1972
Although there is reasonable agreement about which mathematical ideas should be taught in the elementary school (Begle 1966) and that these ideas should be taught meaningfully (Dawson and Rud-dell [a] 1955), there is little agreement on how learning environments should be structured to facilitate this learning.
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