Giuseppe Peano


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Peano, Giuseppe

 

Born Aug. 27, 1858, in Cuneo; died Apr. 20, 1932, in Turin. Italian mathematician.

Peano became a professor at the University of Turin in 1890. His interests included the formal logical foundations of mathematics and also the basic concepts and facts of analysis—for example, the question of the broadest possible existence conditions for solutions of differential equations and the definition and scope of the concept of a curve. His set of postulates for defining the natural numbers has entered into general use. Peano is also known for an example of a continuous (Jordan) curve that entirely fills a square.

WORKS

Arithmetices principia, nova methodo exposita. Turin, 1889.
Lezioni di analisi infinitesimale, vols. 1–2. Turin, 1893.
References in periodicals archive ?
In [18], a two-layer microstrip antenna with novel square and Giuseppe Peano fractal geometries covering the GPS (1.575 GHz), HiperLA[N.sup.2] (2.12-2.32 GHz), IEEE802.11b/g (2.4-2.484 GHz), and WLAN and IMT (4.6-5.2GHz) bands is proposed.
Hedayati, "Circularly polarized multiband microstrip antenna using the square and Giuseppe Peano fractals," IEEE Transactions on Antennas and Propagation, vol.
In 1888, Giuseppe Peano established the axiomatization of mathematics (an axiom is an empirical rule established in certain fields, and used without exceptions universally).
A multi-layered Giuseppe Peano fractal antenna with an electromagnetic coupled microstrip feeder was proposed to realize triple-band CP operation in [19].
In 1889 an Italian mathematician, Giuseppe Peano (1858-1932), published A Logical Exposition of the Principles of Geometry, in which he applied symbolic logic to the fundamentals of mathematics.
In this work, a novel microstrip antenna array, which employs a two-layer stacked structure and Giuseppe Peano fractal shaped patches for realizing both wideband and high gain properties, is proposed, analyzed, and measured.
The Giuseppe Peano fractal is a class of fractal geometries.
As depicted in Figure 2, when the Giuseppe Peano fractal is applied to the edges of the square patch, this fractal patch with different sections resonates at different frequencies which together to form a wide working frequency band.
On the top surface of the radiation layer, some Giuseppe Peano fractal shaped patches are etched periodically.
Novel Giuseppe Peano fractal geometry is discussed in [8] for miniaturization purposes and its results are compared with Tee type, Sierpinski and Koch fractal geometries.
Hedayati, "Miniaturization of microstrip antennas by the novel application of the Giuseppe Peano fractal geometries," IEEE Transactions on Antennas and Propagation, Vol.