* Robert M. Fano, The MAC System: A Progress Report ( MIT Project MAC, 1964 ) describes the usage of CTSS

MIT would eventually be paid three million dollars a year by ARPA to develop time-sharing through Project MAC headed by Robert Fano with the involvement of Corbató, Dennis, and Minsky who would focus on Artificial Intelligence.

Licklider, who had previously been at MIT conducting research in RLE, and would later succeed Fano as director of Project MAC.

The early Project MAC community included Fano, Minsky, Licklider, Fernando J. Corbató, and a community of computer programmers and enthusiasts among others who drew their inspiration from former colleague John McCarthy.

Saint Basso in Cupramarittima was the stopping place for pilgrims coming from the south and the Blessed Virgin in Ponte Metauro in Fano was the stopping place for those coming from the north .” ( Cucco p 25 ) But these were merely roads that ran along the coast, whereas the interior of the country was networked with “ major arteries to Loreto and one should rather talk of a huge number of little roads that would end at Loreto from each valley, each hill and each village .” ( Ibid p26 )

** with constraint length more than 10, usually decoded using a Fano algorithm ( see Sequential decoder );

In the field of data compression, Shannon – Fano coding, named after Claude Shannon and Robert Fano, is a technique for constructing a prefix code based on a set of symbols and their probabilities ( estimated or measured ).

( See Feshbach – Fano partitioning method for the context where such operators appear in scattering theory ).

See Fano plane collineations for a complete list.

* Fano dei Cesari is held annually in July for a week.

* The Fano Jazz by the Sea festival is held annually for one week.

His Nummer 2 ( 1951 ) for 13 instruments is one of the contenders ( Delaere 1994, 13 ), as is his Nummer 1 ( 1950 ) Sonata for Two Pianos, and the Sonata for Two Pianos by Michel Fano ( 1950 ), depending on definitions of " total serialism " ( Toop 1974 ).

The exiles repaired to Tuscany, where they were favorably received by Duke Ferdinand dei Medici, who assigned to them the city of Pisa for residence, and by Duke Vincenzo Gonzaga, at whose court Joseph da Fano, a Jew, was a favorite.

The incidence matrix for the Fano plane looks like this:

The line-line matrix for the Fano plane is as follows:

The point-point matrix for the Fano plane is as follows:

There are other algorithms for decoding a convolutionally encoded stream ( for example, the Fano algorithm ).

A more general discussion of resonances and their taxonomies in molecular system can be found in the review article by Schulz ,; for the discovery of the Fano resonance line-shape and for the Majorana pioneering work in this field by Antonio Bianconi ; and for

This quantum interference in many body system has been described using quantum mechanics by Gregor Wentzel, for the interpretation of the Auger effect, by Ettore Majorana for the dissociation processes and quasi bound states, by Ugo Fano for the atomic auto-ionization states in the continuum of helium atomic spectrum and by Victor Frederick Weisskopf.

Plot of scattering cross-section versus normalized energy for various values of the parameter q illustrating the asymmetric Fano line-shape.

It is named after Italian physicist Ugo Fano who gave a theoretical explanation for the scattering line-shape of inelastic scattering of electrons off of helium.

** Battle of Fano — Aurelian defeats the Alemanni, who begin to retreat from Italy

A matroid is graphic if and only if its minors do not include any of five forbidden minors: the uniform matroid, the Fano plane or its dual, or the duals of and defined from the complete graph and the complete bipartite graph.

Neipperg's corps was still in pursuit and by 29 April, his advanced guard had arrived in Fano, just two days ' march away.

Little is known about his earliest years, but he must have had a thorough early musical training, and his succession of posts at various cathedrals in Italian towns is well documented: he served successively at Urbino, Pesaro, Fano, Ferrara, Casalmaggiore, Novara, and Lodi, eventually acquiring the prestigious post at Milan Cathedral in 1629, which he kept with one short break until his death.

* in 271, Roman Emperor Aurelian defeated in the Battle of Fano, fought near the river, the Alamanni, who had invaded the northern part of Italia the previous year.

The Basilica di Fano ( to give the building its Italian name ) has disappeared so completely that its very site is a matter of conjecture, although various attempts have been made to visualise it.

Due to the discovery of the Fano plane, a finite geometry in which the diagonal points of a complete quadrangle are collinear, some authors have augmented the axioms of projective geometry with Fano's axiom that the diagonal points are not collinear, while others have been less restrictive.

This particular projective plane is sometimes called the Fano plane.

The Fano plane is called the projective plane of order 2 because it is unique ( up to isomorphism ).

A permutation of the Fano plane's seven points that carries collinear points ( points on the same line ) to collinear points is called a collineation of the plane.

A permutation of the seven points of the Fano plane that carries collinear points ( points on the same line ) to collinear points ( in other words, it " preserves collinearity ") is called a " collineation ", " automorphism ", or " symmetry " of the plane.

When q = 2, the projective plane is called the Fano plane.

The authority of the Pope was now recognized throughout the papal territory, which then comprised the Exarchate of Ravenna, the March of Ancona, the Duchy of Spoleto, the County of Bertinoro, the Mathildian lands, and the Pentapolis, i. e., the cities of Rimini, Pesaro, Fano, Senigallia, and Ancona.

In Shannon – Fano coding, the symbols are arranged in order from most probable to least probable, and then divided into two sets whose total probabilities are as close as possible to being equal.

Starting from Rimini on the Adriatic coast the old road follows the coast south to Fano, then turns inland and goes up the Fiume Metauro to Ponti di Traiano, then up the Fiume Candigliano to Acqualagna, and by the Fiume Burano to Cagli ( ancient Cales ).

This then gives a representation of the Fano 3-space, PG ( 3, 2 ).

He mentions the Aesis River ( Esino ) north of there, Senagallia ( Sinigaglia ), Pisaurum ( Pesaro ) and then Fanum ( Fano ) at the mouth of the Metaurus ( Metauro ) River.

However in practice these are not as great as would be predicted due to the effect of the empirical Fano factor which reduces these fluctuations.

Longer constraint length codes are more practically decoded with any of several sequential decoding algorithms, of which the Fano algorithm is the best known.

There are many other projective planes, both infinite, such as the complex projective plane, and finite, such as the Fano plane.

The roll of honour of the school includes the following other Italians: Giacomo Albanese, Bertini, Campedelli, Oscar Chisini, Michele De Franchis, Pasquale del Pezzo, Beniamino Segre, Francesco Severi, Guido Zappa ( with contributions also from Gino Fano, Rosati, Torelli, Giuseppe Veronese ).

One can similarly construct projective planes over any other finite field, with the Fano plane being the smallest.

In other words, the points of the Fano plane correspond to the non-zero points of the finite vector space of dimension 3 over the finite field of order 2.

* There are 28 ways of selecting a point and a line that are not incident to each other, and six ways of permuting the Fano plane while keeping a configuration of this type fixed.

In mathematics, a del Pezzo surface or Fano surface is a two-dimensional Fano variety, in other words a non-singular projective algebraic surface with ample anticanonical divisor class.