# Tonelli

Last updated

Tonelli is a surname, and may refer to:

## Contents

Annalena Tonelli was an Italian lawyer and social activist. She worked for 33 years in East Africa, where she focused on tuberculosis and HIV/AIDS prevention and treatment, campaigns for eradication of female genital mutilation, and special schools for hearing-impaired, blind and disabled children. In June 2003, Tonelli was awarded the Nansen Refugee Award, which is given annually by the UNHCR to recognize outstanding service to the cause of refugees. In October 2003, she was killed inside her hospital by two gunmen. Her murder remains unsolved.

Gilles Tonelli is a Monegasque engineer, diplomat and politician.

John A. Tonelli is a Canadian retired professional ice hockey forward. He was a four-time Stanley Cup champion with the New York Islanders, and also played with the Calgary Flames, Los Angeles Kings, Chicago Blackhawks, and the Quebec Nordiques of the National Hockey League.

## Science

In mathematics, Tonelli's theorem in functional analysis is a fundamental result on the weak lower semicontinuity of nonlinear functionals on Lp spaces. As such, it has major implications for functional analysis and the calculus of variations. Roughly, it shows that weak lower semicontinuity for integral functionals is equivalent to convexity of the integral kernel. The result is attributed to the Italian mathematician Leonida Tonelli.

The Tonelli–Shanks algorithm is used in modular arithmetic to solve for r in a congruence of the form r2n, where p is a prime: that is, to find a square root of n modulo p.

In mathematics, the Tonelli–Hobson test gives sufficient criteria for a function ƒ on R2 to be an integrable function. It is often used to establish that Fubini's theorem may be applied to ƒ. It is named for Leonida Tonelli and E. W. Hobson.

## Related Research Articles

In mathematical analysis Fubini's theorem, introduced by Guido Fubini in 1907, is a result that gives conditions under which it is possible to compute a double integral by using iterated integral. One may switch the order of integration if the double integral yields a finite answer when the integrand is replaced by its absolute value.

Little Italy is a neighborhood in Lower Manhattan, New York City, once known for its large population of Italian Americans. Today the neighborhood consists of only a few Italian stores and restaurants. It is bounded on the west by Tribeca and Soho, on the south by Chinatown, on the east by the Bowery and Lower East Side, and on the north by Nolita.

Cesare Arzelà was an Italian mathematician who taught at the University of Bologna and is recognized for his contributions in the theory of functions, particularly for his characterization of sequences of continuous functions, generalizing the one given earlier by Giulio Ascoli in the Arzelà-Ascoli theorem.

In measure theory, an area of mathematics, Egorov's theorem establishes a condition for the uniform convergence of a pointwise convergent sequence of measurable functions. It is also named Severini–Egoroff theorem or Severini–Egorov theorem, after Carlo Severini, an Italian mathematician, and Dmitri Egorov, a Russian physicist and geometer, who published independent proofs respectively in 1910 and 1911.

Leonida is a given name and a surname which may refer to:

Dmitri Fyodorovich Egorov was a Russian and Soviet mathematician known for significant contributions to the areas of differential geometry and mathematical analysis. He was President of the Moscow Mathematical Society (1923–1930).

Mark Lyndon Tonelli, whose birth name was Mark Lyndon Leembruggen, is an Australian former backstroke, butterfly, and freestyle swimmer of the 1970s and 1980s, who won a gold in the 4×100-metre medley relay at the 1980 Moscow Olympics as a makeshift butterfly swimmer in the self-named Quietly Confident Quartet. Tonelli unofficially led the relay team and was an athletes' spokesperson who fought for the right of Australian Olympians to compete in the face of a government call for a boycott to protest against the Soviet invasion of Afghanistan.

Robert Tonelli Jr., known as Bobby Tonelli is an American actor and television host who has appeared in several Hollywood films including Cages, Running Red, No Tomorrow, and The Darwin Conspiracy, as well as numerous Singapore television series.

Leonida Tonelli was an Italian mathematician, noted for creating Tonelli's theorem, a variation of Fubini's theorem, and for introducing semicontinuity methods as a common tool for the direct method in the calculus of variations.

Mauro Picone was an Italian mathematician. He is known for the Picone identity, the Sturm-Picone comparison theorem and being the founder of the Istituto per le Applicazioni del Calcolo, presently named after him, the first applied mathematics institute ever founded. He was also an outstanding teacher of mathematical analysis: some of the best Italian mathematicians were among his pupils.

Carlo Severini was an Italian mathematician: he was born in Arcevia and died in Pesaro. Severini, independently from Dmitri Fyodorovich Egorov, proved and published earlier a proof of the theorem now known as Egorov's theorem.

Lorenzo Tonelli is an Italian footballer who plays as a central defender for Serie A club Sampdoria on loan from S.S.C. Napoli.

Balsamus, l'uomo di Satana is a 1970 Italian film. It is the debut film of director Pupi Avati.

Simone Tonelli is an Italian footballer who plays as a midfielder or forward.

Tonelli is a 1943 German drama film directed by Victor Tourjansky and starring Ferdinand Marian, Winnie Markus and Mady Rahl.

I, His Father is a 1939 Italian sports comedy film directed by Mario Bonnard and starring Erminio Spalla, Mariella Lotti and Clara Calamai.