scholarly journals Oscillators: Phenomenological mappings and analogies: First part: Mathematical analogy and chains

2015 ◽  
Vol 65 (3) ◽  
pp. 27-38 ◽  
Author(s):  
Katica Stevanović-Hedrih ◽  
Ana Ivanović-Šašić ◽  
Julijana Simonović ◽  
Ljiljana Kolar-Anić ◽  
Zeljko Čupić
Keyword(s):  
Mathematical Analogy

Proportional Thinking in Kepler’s Science of Light

2017 ◽  
Author(s):  
Judith H. Anderson
Keyword(s):  
Geometric Optics ◽  
Light Effects ◽  
Mathematical Analogy

Light is at the center of Kepler’s optics, astronomy, and cosmology. Verbal and mathematical analogy, whether as concept, proportion, or both, is crucial to his methodology and his habits of thought. Kepler is an intellectual hybrid who combines Neoplatonic and perspectivist ideas about light with mathematical and physical discoveries anticipating those of Descartes and Newton. Kepler is strikingly engaged with the interface of the immaterial with the material that light effects, as well as with correspondences and other connections between the celestial and terrestrial realms. Analogy, the salient means of linking the known with the unknown, the abstract with the sensible, is conspicuous throughout his work. This chapter focuses on Kepler’s study of light, geometric optics, and their bearing on the observation of astronomical phenomena. Both Donne and Milton were acquainted with Kepler’s ideas (as with Spenser’s).

scholarly journals Collaborative interviewing in mathematical analogy technique (part III): adherence to CBT and duration of treatment

2006 ◽  
Vol 5 (S1) ◽  
Author(s):  
Lefteris Konstandinidis ◽  
Yiota Goga ◽  
Thomai Lioura ◽  
Dimitra Goga
Keyword(s):  
Duration Of Treatment ◽  
Mathematical Analogy

La distinction rousseauiste entre volonté de tous et volonté générale : une reconstruction mathématique et ses implications pour la théorie démocratique

2009 ◽  
Vol 42 (2) ◽  
pp. 467-490 ◽  
Author(s):  
Radu Dobrescu
Keyword(s):  
Democratic Theory ◽  
General Will ◽  
Mathematical Argument ◽  
Mathematical Analogy

Résumé. Se situant à mi-chemin entre l'exégèse rousseauiste et la théorie démocratique, cet article vise à éclairer l'analogie mathématique mobilisée par Rousseau pour illustrer la distinction entre volonté de tous et volonté générale et à réévaluer, à la lumière de cette analogie, les débats contemporains autour de la démocratie (libérale, épistémique, délibérative). Il s'agit de régler trois problèmes qui subsistent après la restitution par Philonenko de cet argument mathématique jugé irrécupérable et de montrer que la distinction rousseauiste ainsi reconstruite peut impulser significativement les tentatives actuelles de dépasser la volonté de tous libérale pour retrouver une volonté générale épistémique ou/et délibérative.Abstract. Halfway between Rousseauian exegesis and democratic theory, this article aims at clarifying the mathematical analogy that Rousseau used to illustrate the distinction between will of all and general will, and at reassessing in the light of this analogy the contemporary debates on democracy (liberal, epistemic, deliberative). Three problems that remain after Philonenko's restitution of this mathematical argument considered unrecoverable are solved herein. It is argued that the Rousseauian distinction thus reconstructed can give significant new impetus to current attempts to go beyond the liberal will of all in order to reach an epistemic or/and deliberative general will.

A Mathematical Analogy in Theological Reasoning

The Monist ◽  
1905 ◽  
Vol 15 (4) ◽  
pp. 626-628
Author(s):  
R. W. McFarland ◽  
Keyword(s):  
Mathematical Analogy

scholarly journals Addendum to ‘Coherent Lagrangian vortices: the black holes of turbulence’

2014 ◽  
Vol 755 ◽  
Author(s):  
G. Haller ◽  
F. J. Beron-Vera
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Variational Principle ◽  
Strain Tensor ◽  
Null Geodesics ◽  
Lorentzian Metric ◽  
Lagrange Strain ◽  
Mathematical Analogy

AbstractIn Haller & Beron-Vera (J. Fluid Mech., vol. 731, 2013, R4) we developed a variational principle for the detection of coherent Lagrangian vortex boundaries. The solutions of this variational principle turn out to be closed null geodesics of the Lorentzian metric induced by a generalized Green–Lagrange strain tensor family. This metric interpretation implies a mathematical analogy between coherent Lagrangian vortex boundaries and photon spheres in general relativity. Here, we give an improved discussion of this analogy.

Analysis of Composite Materials—A Survey

1983 ◽  
Vol 50 (3) ◽  
pp. 481-505 ◽  
Author(s):  
Z. Hashin
Keyword(s):  
Thermal Expansion ◽  
Composite Materials ◽  
Fatigue Failure ◽  
Static Strength ◽  
Point Of View ◽  
Engineering Science ◽  
Applied Mechanics ◽  
Present Survey ◽  
And Diffusion ◽  
Mathematical Analogy

The purpose of the present survey is to review the analysis of composite materials from the applied mechanics and engineering science point of view. The subjects under consideration will be analysis of the following properties of various kinds of composite materials: elasticity, thermal expansion, moisture swelling, viscoelasticity, conductivity (which includes, by mathematical analogy, dielectrics, magnetics, and diffusion) static strength, and fatigue failure.

scholarly journals Analysis of Improving Mathematical Analogy Ability in Snow Cube Throwing Based on Exploration Learning

2021 ◽  
Vol 4 (2) ◽  
pp. 139
Author(s):  
Nenden Mutiara Sari ◽  
Hanhan Subhan Munawar
Keyword(s):  
Experimental Study ◽  
Control Group ◽  
Exploratory Learning ◽  
Research Subjects ◽  
Control Group Design ◽  
Group Design ◽  
Quasi Experimental ◽  
Class Viii ◽  
Better Than ◽  
Mathematical Analogy

<p><em>The snow cube throwing learning was developed to find patterns, make hypotheses, and draw conclusions based on their findings in problem-solving. Students are given five types of teaching materials with similar problems to improve students' mathematical analogy skills. This study aims to analyze the differences in the improvement of mathematical analogy abilities that received snow cube throwing based on exploration (SCTBE), exploratory and expository learning reviewed as a whole, and by school category. This study is a quasi-experimental study with a non-equivalent pretest and posttest control-group design. The research subjects were students of class VIII from three schools in Cimahi City. Overall, the results showed that students who received SCTBE and expository learning improved mathematical analogy abilities and were better than students who received exploratory learning. Reviewed by school category, SCTBE learning is more suitable for middle category schools with active and independent characteristics</em>.</p>

Mathematical Analogy between Non-Uniform Torsion and Transverse Bending of Thin-Walled Open Section Beams

2015 ◽  
Vol 725-726 ◽  
pp. 746-751 ◽  
Author(s):  
Vladimir Rybakov ◽  
Alexander Sergey
Keyword(s):  
Bending Moment ◽  
Maximum Deviation ◽  
Bending Moments ◽  
Distributed Load ◽  
Transverse Bending ◽  
Open Section ◽  
Uniformly Distributed Load ◽  
Thin Walled ◽  
And Function ◽  
Mathematical Analogy

The objective of this work is to identify and make an analysis of correlation between functions of bimoments and function of bending moments arising in the beams under the same loads. This article shows the possibility of using a diagram of bending moment multiplied by a factor as a diagram of bimoment. The maximum deviation between diagram of bending moment and diagram of bimoment made up 3.6 % of maximum bending moment in case of uniformly distributed load on one side of fixed supported beam.

scholarly journals Asosiasi Antara Kemampuan Analogi Dengan Komunikasi Matematik Siswa SMP

2017 ◽  
Vol 8 (1) ◽  
pp. 91 ◽  
Author(s):  
Memen Permata Azmi
Keyword(s):  
Junior High School ◽  
Quantitative Research ◽  
Mathematical Communication ◽  
Chi Square ◽  
Cross Sectional ◽  
Contingency Coefficient ◽  
Chi Square Test ◽  
Cross Sectional Design ◽  
Degree Of Association ◽  
Mathematical Analogy

This research is a quantitative research with cross-sectional design that aims to examine the association between students 'mathematical analogy abilities with students' mathematical communication abilities. The subject of this research is 33 students of class VII in one of Junior High School of Kampar Regency of Riau Province. The instrument used is a essay test about the problem of mathematical analogy and mathematical communication. Data analysis techniques to test the association of both capabilities based on the category of contingency association test (Pearson Chi Square test and contingency coefficient). The results showed that this study was an association between students' mathematical analogy abilities with students' mathematical communication abilities. The degree of association between students 'mathematical analogy abilities with students 'mathematical communication abilities is high.

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