Einstein’s Italian Mathematicians

2018 ◽  
Author(s):  
Judith Goodstein
Keyword(s):  
Italian Mathematicians

Measurement, Scale, and Theater Arts

2004 ◽  
Vol 9 (8) ◽  
pp. 412-417
Author(s):  
David Johnston
Keyword(s):  
Measurement Scale ◽  
Small Scale ◽  
Theater Arts ◽  
Musical Scale ◽  
Local Competition ◽  
Algebra Students ◽  
Italian Mathematicians ◽  
Scale Models ◽  
Theater Directors ◽  
The One

Greek mathematicians developed the musical scale; Italian mathematicians inspired the Renaissance by introducing perspective and proportion in their artwork; and a group of eighth-grade algebra students earned the applause of middle school theater directors through the practical application of scale, measurement, geometry, and problem solving. These young mathematicians designed small-scale models of play sets and presented them to theater directors at a local competition called the One-Act Play.

scholarly journals Development of the Theory of the Functions of Real Variables in the First Decades of the Twentieth Century

2020 ◽  
Author(s):  
Loredana Biacino
Keyword(s):  
Twentieth Century ◽  
Calculus Of Variations ◽  
Real Function ◽  
Measure Theory ◽  
Real Variable ◽  
Italian Mathematicians ◽  
Lebesgue Theorem

In (Biacino 2018) the evolution of the concept of a real function of a real variable at the beginning of the twentieth century is outlined, reporting the discussions and the polemics, in which some young French mathematicians of those years as Baire, Borel and Lebesgue were involved, about what had to be considered a genuine real function. In this paper a technical survey of the arising function and measure theory is given with a particular regard to the contribution of the Italian mathematicians Vitali, Beppo Levi, Fubini, Severini, Tonelli etc … and also with the purpose of exposing the intermediate steps before the final formulation of Radom-Nicodym-Lebesgue Theorem and the Italian method of calculus of variations.

Tartaglia—The Stammerer

1930 ◽  
Vol 23 (6) ◽  
pp. 385
Keyword(s):  
16Th Century ◽  
Italian Mathematicians ◽  
The Face

Nicolo Tartaglia, whose portrait appears as the frontispiece in this issue, was born in Brescia and was one of the greatest Italian mathematicians of the 16th Century. A saber cut in the face which he received as a child when Brescia was stormed by Gaston de Foix (1512) resulted in an imperfection in his speech. This defect caused him to be given the nickname of Tartaglia ("the stammerer") "which name he formerly used in all his published works."*

From the Italian-Austrian front: selected writings by Italian mathematicians at war

2015 ◽  
Vol 3 (1-2) ◽  
pp. 73-84 ◽  
Author(s):  
Laurent Mazliak ◽  
Rossana Tazzioli
Keyword(s):  
Italian Mathematicians

scholarly journals The Concept of Function at the Beginning of the 20th Century: A Historiographical Approach

2018 ◽  
pp. 171
Author(s):  
Loredana Biacino
Keyword(s):  
Large Class ◽  
20Th Century ◽  
Modern Theory ◽  
Discontinuous Functions ◽  
Italian Mathematicians ◽  
Real Functions ◽  
Concept Of Function ◽  
And Function ◽  
Class Of Functions

The evolution of the concept of function at the beginning of the 20th century in France after the definitions by Dirichlet and Riemann and the introduction of several pathological functions is studied. Some young mathematicians of those years (Baire, known for his classification of discontinuous functions, Borel and Lebesgue famous for their new theories on measure and integration) made several attempts to propose a large class of functions as “accessible” objects. Their discussions, their purposes and polemics are reported often by their own words supported by a large bibliography. The contribution of some Italian mathematicians, as Vitali, is also underlined.  Some of such discussions are linked to the growth of measure and function theories, others will find mathematical answers in the modern theory of computability for real functions.

scholarly journals Early Models Describing the Fire Insurance Risk

1979 ◽  
Vol 10 (3) ◽  
pp. 330-334 ◽  
Author(s):  
Paul Johansen
Keyword(s):  
Risk Premium ◽  
Fire Risk ◽  
Insurance Companies ◽  
Practical Case ◽  
Insurance Risk ◽  
Life Assurance ◽  
Fire Insurance ◽  
Italian Mathematicians ◽  
Risk Rate ◽  
Image Position

It has been known for generations that the fire risk rate increases with the size of the insured object in a similar way as the death rate increases with the age.Professor d'Addario and other Italian mathematicians have shown that statistical data often can be graduated by the formulas where S denotes the sum insured:In 1940, d'Addario) in a practical case found the values α = 0.78, β = 0.44. In 1956, Blandin and Depoid have used the same formulas. Although these formulas in practical cases often lead to good approximations, one can hardly say that a proper mathematical or physical model describing the behaviour of fires lies behind.About 1950, I worked with the statistics of a group of Danish fire insurance companies, in particular covering farm buildings. This investigation was organized by Gunnar Benktander. Our data confirmed the increase of the fire risk rate with the size of the buildings.In one special group: Farm houses with thatched roofs, this increase was so important that the risk premium was approximately proportionate to the square of the sum insured. The statistics fully justified the tariffing and we tried to construct a model describing and explaining the observed facts.The risk group in question was characterized by the overwhelming importance of total or practically total losses. Only a few per cent of the damages went to minor fires. When a fire breaks out in such a building, and reaches a certain slight extent, then it is not possible to save the building from total destruction. With sufficient approximation, we may say that only total losses occur (as in life assurance).

‘To each according to his trade’: Italian mathematicians at war

2015 ◽  
Vol 3 (1-2) ◽  
pp. 3-15 ◽  
Author(s):  
Laurent Mazliak ◽  
Rossana Tazzioli
Keyword(s):  
Italian Mathematicians
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