Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Jean-Claude Falmagne"'
Autor:
Jean-Claude Falmagne
This book presents the basic concepts of classical psychophysics, derived from Gustav Fechner, as seen from the perspective of modern measurement theory. The theoretical discussion is elucidated with examples and numerous problems, and solutions to o
Publikováno v:
Choice, Decision, and Measurement: Essays in Honor of R. Duncan Luce ISBN: 9781315789408
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0fd5b905e00005a692613c84a9cf1e04
https://doi.org/10.4324/9781315789408-8
https://doi.org/10.4324/9781315789408-8
Publikováno v:
Journal of Mathematical Psychology. 75:59-67
In 1959, Duncan Luce published the famous paper entitled “On the possible psychophysical laws.” The results presented here were inspired by that paper and by the ensuing controversy centered on the invariance concept of “meaningfulness.” We g
Autor:
Jean-Claude Falmagne
Publikováno v:
Aequationes mathematicae. 89:393-435
A scientific law can be a faithful representation of the physical world only if its form is invariant with respect to changes in the unit or units. This is referred to as the ‘meaningfulness condition.’ This condition is powerful. If we require i
The authors describe systematic methods for uncovering scientific laws a priori, on the basis of intuition, or “Gedanken Experiments”. Mathematical expressions of scientific laws are, by convention, constrained by the rule that their form must be
Publikováno v:
Falmagne, Jean-Claude; & Doignon, Jean-Paul. (2010). Axiomatic derivation of the Doppler factor and related relativistic laws. Aequationes mathematicae, 80(1), pp 85-99. doi: 10.1007/s00010-010-0035-0. Retrieved from: http://www.escholarship.org/uc/item/04z08618
Aequationes mathematicae, 80 (1
Aequationes mathematicae, 80 (1
In the context of the relativistic Doppler effect [DE] and the Lorentz-Fitzgerald contraction [LF], we investigate the consequences of two abstract axioms [R] and [M] expressed in terms of an operation generalizing the addition of velocities and a fu
Autor:
Jean-Claude Falmagne
Publikováno v:
Journal of Mathematical Psychology. 51:45-52
Autor:
Jean-Claude Falmagne
A learning space is a family of sets satisfying certain conditions. The sets are called knowledge states. In the most common application of these concepts, a knowledge state is a set of items of knowledge, such as all the concepts mastered by a stude
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::69cd1607d676935dfffd6568bbe141eb
https://doi.org/10.1016/b978-0-08-097086-8.43056-4
https://doi.org/10.1016/b978-0-08-097086-8.43056-4
Publikováno v:
On Meaningful Scientific Laws ISBN: 9783662460979
The notion of invariance is a fundamental one in mathematics and the sciences. This chapter is a brief introduction to two of its subtopics, dimensional invariance and dimensional analysis, which are relevant to the subject of this book. Specifically
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f9fa902ba964e6a5b2900dbf3f29dcc
https://doi.org/10.1007/978-3-662-46098-6_9
https://doi.org/10.1007/978-3-662-46098-6_9
Publikováno v:
On Meaningful Scientific Laws ISBN: 9783662460979
In this chapter, which recalls some results of Falmagne (2015), we derive some exemplary consequences of the meaningfulness condition paired with some abstract axioms, in particular: associativity, quasi-permutability, bisymmetry, translatability, an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52d3b45fc61fcbc102a8a929576eabaf
https://doi.org/10.1007/978-3-662-46098-6_7
https://doi.org/10.1007/978-3-662-46098-6_7