The Order of Prince Henry the Navigator (Portuguese: Ordem do Infante Dom Henrique) is a Portuguese National Order of Knighthood created on June 2, 1960, to commemorate the fifth centenary of the death of the Infante Henry the Navigator (known in Portuguese as Henrique), fifth son of King John I of Portugal and his queen, Philippa of Lancaster. Minor reforms of the constitution of the Order occurred in 1962 and 1980.

It is a five-tier order, whose titles are awarded for relevant services to Portugal and for services in the expansion of the Portuguese culture, its history and its values (with a particular focus on its maritime history). The number of members in each grade is restricted by its constitution, and titles are attributed by special decree by the Grand Master of the Order, i.e. the President of the Republic of Portugal.

The order includes several classes; in decreasing order of seniority, these are:

There is also a Silver Medal (Medalha de Prata - MedPIH) and a Gold Medal (Medalha de Ouro - MedOIH).

In mathematics, big O notation is used to describe the limiting behavior of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions. It is a member of a larger family of notations that is called Landau notation, Bachmann–Landau notation (after Edmund Landau and Paul Bachmann), or asymptotic notation. In computer science, big O notation is used to classify algorithms by how they respond (e.g., in their processing time or working space requirements) to changes in input size.

Big O notation characterizes functions according to their growth rates: different functions with the same growth rate may be represented using the same O notation. A description of a function in terms of big O notation usually only provides an upper bound on the growth rate of the function. Associated with big O notation are several related notations, using the symbols o, Ω, ω, and Θ, to describe other kinds of bounds on asymptotic growth rates.

Big O notation is also used in many other fields to provide similar estimates.

José Hermano Baptista Saraiva (born 3 October 1919 in Leiria), is a Portuguese historian and jurist. He is most known as a television personality in Portugal, having been the author and presenter of several documentary series of historical divulgation in the last decades.

Hermano Saraiva was a professor of law and business management. He was Minister of Education of Portugal between 1968 and 1970 and ambassador to Brazil between 1972 and 1974. He lectured in the Instituto Superior de Ciências Sociais e Política Ultramarina at the Universidade Técnica de Lisboa, and in private teaching institutes.

Saraiva is most famous in Portugal, but also among Portuguese communities around the world, on account of his television programs on the History of Portugal, broadcast by RTP. He is a member of the Sciences Academy of Lisbon, Portuguese Academy of History and São Paulo Historical Institute in Brazil.

Hermano Saraiva was distinguished with the Grã-Cruz da Ordem da Instrução Pública, the Grã-Cruz da Ordem do Barão do Rio Branco of Brazil, the Grã-Cruz da Ordem do Mérito do Trabalho and the Comendador da Real Ordem de Nossa Senhora da Conceição de Vila Viçosa.

Cristiano Ronaldo dos Santos Aveiro,OIH, (born 5 February 1985), commonly known as Cristiano Ronaldo, is a Portuguese footballer who plays as a winger or striker for Spanish La Liga club Real Madrid and is the captain of the Portuguese national team. Ronaldo became the most expensive footballer in history after moving from Manchester United to Real Madrid in a transfer worth £80 million (€93.9 million/$131.6 million). In addition, his contract with Real Madrid, in which he is paid €12 million per year, makes him one of the highest-paid footballers in the world, and his buyout clause is valued at €1 billion as per his contract.

Ronaldo began his career as a youth player for Andorinha, where he played for two years, before moving to C.D. Nacional. In 1997, he made a move to Portuguese giants Sporting Clube de Portugal. Ronaldo's precocious talent caught the attention of Manchester United manager Alex Ferguson, who signed him for £12.24 million (€15 million) in 2003. The following season, Ronaldo won his first club honour, the FA Cup. He also played at Euro 2004 with Portugal and scored his first international goal in the opening game of the tournament against Greece, in addition to helping Portugal reach the final. He was featured in the UEFA Euro All-Star Team of this competition.

Hermann Joseph von Krippahl, known as Herman José (born 19 March 1954 in Lisbon, Portugal), is a well-known Portuguese comedian, though virtually unknown abroad. His career has focused on television.

His mother is Portuguese and his father was German. He is in fact a German citizen: he never acquired dual citizenship, first so he could avoid conscription and the Portuguese Colonial War (1961–1974) and secondly because he said he was not interested^{[citation needed]}. He went to Lisbon's German school Deutsche Schule Lissabon for all his schooling and is fluent in Portuguese, German, English, French, and Spanish^{[citation needed]}. He lives in Azeitão, Setúbal, and keeps houses in Lisbon and Vilamoura, Algarve.

Herman José's professional career started in 1973–4 doing studio choruses (mostly on protest songs spun by the Carnation Revolution of April 1974) and acting in revues. His first leap to national fame was in 1975, invited by comedian Nicolau Breyner on to his TV show "Nicolau no País das Maravilhas", where he performed opposite the host in a weekly skit called "Sr. Feliz e Sr. Contente" ("Mr. Happy and Mr. Content"). His first big success as an author and performer was with O Tal Canal ("That Channel"), where he played several characters appearing on a fictitious TV channel. With this show, Herman José was attempting to shape the sense of humour of the Portuguese in the wake of the revolution that had ended almost fifty years of totalitarianism under the Estado Novo regime.