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Tiberiu Popoviciu | |
---|---|

Born | |

Died | October 29, 1975 69) | (aged

Nationality | Romanian |

Alma mater | Paris-Sorbonne University, University of Bucharest |

Known for | Popoviciu's inequality Popoviciu's inequality on variances |

Scientific career | |

Fields | Mathematics |

Doctoral advisor | Paul Montel |

Doctoral students | Elena Moldovan Popoviciu |

**Tiberiu Popoviciu** (1906–1975) was a Romanian mathematician^{ [1] } and the namesake of Popoviciu's inequality and Popoviciu's inequality on variances.

**Romania** is a country located at the crossroads of Central, Eastern, and Southeastern Europe. It borders the Black Sea to the southeast, Bulgaria to the south, Ukraine to the north, Hungary to the west, Serbia to the southwest, and Moldova to the east. It has a predominantly temperate-continental climate. With a total area of 238,397 square kilometres (92,046 sq mi), Romania is the 12th largest country and also the 7th most populous member state of the European Union, having almost 20 million inhabitants. Its capital and largest city is Bucharest, and other major urban areas include Cluj-Napoca, Timișoara, Iași, Constanța, Craiova, and Brașov.

In convex analysis, **Popoviciu's inequality** is an inequality about convex functions. It is similar to Jensen's inequality and was found in 1965 by Tiberiu Popoviciu, a Romanian mathematician.

In probability theory, **Popoviciu's inequality**, named after Tiberiu Popoviciu, is an upper bound on the variance *σ²* of any bounded probability distribution. Let *M* and *m* be upper and lower bounds on the values of any random variable with a particular probability distribution. Then Popoviciu's inequality states:

The Tiberiu Popoviciu High School of Computer Science in Cluj-Napoca is named after him.^{ [2] }

**Tiberiu Popoviciu High School of Computer Science** from Cluj-Napoca, Romania is a Romanian high school founded in 1971, together with three other similar high schools in Bucharest, Iaşi and Timişoara. From 1993 it holds the name of mathematician Tiberiu Popoviciu (1906–1975), known for establishing the academic field of computer science in Romania.

**Cluj-Napoca**, commonly known as **Cluj**, is the fourth most populous city in Romania, and the seat of Cluj County in the northwestern part of the country. Geographically, it is roughly equidistant from Bucharest, Budapest and Belgrade. Located in the Someșul Mic river valley, the city is considered the unofficial capital to the historical province of Transylvania. From 1790 to 1848 and from 1861 to 1867, it was the official capital of the Grand Principality of Transylvania.

In 1951 he founded a research institute which now bears his name: Tiberiu Popoviciu Institute of Numerical Analysis.

In Romanian: Institutul de Calcul “Tiberiu Popoviciu” (ICTP)

He attended high school in Arad, the school which is now the Moise Nicoara National College. He graduated from the University of Bucharest, and got his doctorate in 1933 under Paul Montel from Paris-Sorbonne University.^{ [3] }

**Arad** is the capital city of Arad County, historically situated in the region of Crișana, and having extended into the neighboring Banat region in the 20th century. Arad is the third largest city in Western Romania, behind Timișoara and Oradea, and the 12th largest in Romania, with a population of 159,704.

The **University of Bucharest**, commonly known after its abbreviation **UB** in Romania, is a public university founded in 1864 by decree of Prince Alexandru Ioan Cuza to convert the former Saint Sava Academy into the current University of Bucharest, making it the second oldest modern university in Romania. It is one of the five members of the *Universitaria Consortium*.

**Paul Antoine Aristide Montel** was a French mathematician. He was born in Nice, France and died in Paris, France. He researched mostly on holomorphic functions in complex analysis.

Popoviciu was a lecturer at the Universities of Czernowitz, Bucharest and Iasi. In 1946 he was appointed professor at the University of Cluj. On June 4, 1937 Popoviciu was elected member of the Romanian Academy. In November 1948 he was elected corresponding member of the Academy. He became full member of the mathematical sciences section of the Academy on March 20, 1963.

The **Alexandru Ioan Cuza University** is a public university located in Iași, Romania. Founded one year after the establishment of the Romanian state, by an 1860 decree of Prince Alexandru Ioan Cuza, under whom the former Academia Mihăileană was converted to a university, the **University of Iași**, as it was named at first, is the oldest university of Romania, and one of its advanced research and education institutions. It is one of the five members of the *Universitaria Consortium*.

The **Babeș-Bolyai University**, commonly known by its abbreviation, **UBB**, is a public university in Cluj-Napoca, Romania. With more than **41,000** students in 2015, it is the largest university in the country. The Babeș-Bolyai University offers study programmes in *Romanian*, *Hungarian*, *German*, *English*, and *French*. The university was named after two prominent scientists from Transylvania, the Romanian bacteriologist Victor Babeș and the Hungarian mathematician János Bolyai. It is one of the five members of the **Universitaria Consortium**.

He married his former student, Elena Moldovan Popoviciu, in 1964; she also became a notable functional analyst.^{ [4] }

**Elena Moldovan Popoviciu** (1924–2009) was a Romanian mathematician known for her work in functional analysis and specializing in generalizations of the concept of a convex function. She was a winner of the Simion Stoilow Prize in mathematics.

**Lucian Blaga** was a Romanian philosopher, poet, playwright and novelist.

**Octav Onicescu** was a Romanian mathematician, member of the Romanian Academy, and founder of the Romanian school of probability theory and statistics.

**Politehnica University of Bucharest** is a technical university in Bucharest, Romania. It was founded in 1818 as "Academic School for Philosophy, Mathematical Sciences and Surveying Engineers". Later the technical superior school was renamed few times, in 1864 as *School of Bridges and Roads, Mines and Architecture*, and the name "Politehnica" was introduced in 1920 when the university was renamed *Polytechnic School of Bucharest*. Politehnica University is classified by the Ministry of Education as an *advanced research and education university*. Teaching is conducted in Romanian and at the Faculty of Engineering in Foreign Languages teaching is conducted in one of the languages: English, French and German.

**Nicolae Popescu**, Ph.D., D.Phil. was a Romanian mathematician and professor at the University of Bucharest. He also held a research position at the Institute of Mathematics of the Romanian Academy, and was elected a Member of the Romanian Academy in 1992.

**Grigore Constantin Moisil** was a Romanian mathematician, computer pioneer, and member of the Romanian Academy. His research was mainly in the fields of mathematical logic,, algebraic logic, MV-algebra, and differential equations. He is viewed as the father of computer science in Romania.

**Alexandru Ghika** was a Romanian mathematician, founder of the Romanian school of functional analysis.

**Zoia Ceaușescu** was a Romanian mathematician, the daughter of Communist leader Nicolae Ceaușescu and his wife, Elena.

**Miron Nicolescu** was a Romanian mathematician.

**Sorin Lerescu** was born in Craiova and is a Romanian composer who studied at the National University of Music in Bucharest.

**Daniel**, born **Dan Ilie Ciobotea**, is the Patriarch of the Romanian Orthodox Church. The elections took place on 12 September 2007. Daniel won with a majority of 95 votes out of 161. He was officially enthroned on 30 September 2007 in the Patriarchal Cathedral in Bucharest. As such, his official title is "Archbishop of Bucharest, Metropolitan of Muntenia and Dobrogea, Locum tenens of the throne of Caesarea of Cappadocia, Patriarch of Romania".

**Păun Ion Otiman** is a Romanian agricultural and economical scientist, University Professor, member of the Romanian Academy, Romanian Senator and former Rector of the Banat University of Agronomical Sciences and Veterinary Medicine (USABTM).

**Ghenadie Ciobanu** is a composer and politician from the Republic of Moldova, who served as the Minister of Culture of the Republic of Moldova (1997-2001) and served as a deputy in the Parliament of the Republic of Moldova in the Party faction Liberal Democrats from Moldova between 2010 and 2014. She composed symphonies, written works for chamber ensembles (instrumental), choral creations, theater and film music, etc.

The **Tudor Vianu National High School of Computer Science**, often referred to as **"CNITV"** of Bucharest can trace its roots back to 1928 and enjoys nowadays a very good reputation in Romania and even in the world, due to its students that won many International Competitions in physics, mathematics, computer science and chemistry.

**Andrian Candu** is a Moldovan politician and a member of the Moldovan Parliament since December 2014. Since 23 January 2015 he has served as the President of the Parliament of the Republic of Moldova, though his claim to the office has been disputed by Zinaida Greceanîi since 8 June 2019, as was part of the constitutional crisis. Before that, Candu was a Deputy Prime Minister, Minister of Economy of the Republic of Moldova since 3 July 2014, and served as Deputy Speaker of the Parliament of the Republic of Moldova. He was member of the Parliament of Republic of Moldova between December 2010, and July 2014.

**CIFA** is the acronym for "Calculatorul Institutului de Fizică Atomică".

**Alexandru Rosetti** was a Romanian linguist, editor and memoirist.

- ↑ Breckner, Wolfgang,
*Profesor Tiberiu Popoviciu*, Babeș-Bolyai University, Faculty of Mathematics and Informatics, retrieved 2015-04-19. - ↑ Istoric, Tiberiu Popoviciu High School of Computer Science (in Romanian), retrieved 2015-04-19.
- ↑ Tiberiu Popoviciu at the Mathematics Genealogy Project
- ↑ O'Connor, John J.; Robertson, Edmund F., "Elena Moldovan Popoviciu",
*MacTutor History of Mathematics archive*, University of St Andrews .

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