|
Bernoulli Family
The Bernoulli family ( ; ; ) of Basel was a Patrician (post-Roman Europe), patrician family, notable for having produced eight mathematically gifted academics who, among them, contributed substantially to the development of mathematics and physics during the Early Modern Switzerland, early modern period. History Originally from Antwerp, a branch of the family relocated to Basel in 1620. While their origin in Antwerp is certain, proposed earlier connections with the Dutch family of Italian ancestry called ''Bornouilla'' (''Bernoullie''), or with the Castilian family ''de Bernuy'' (''Bernoille'', ''Bernouille''), are uncertain. The first known member of the family was Leon Bernoulli (d. 1561), a doctor in Antwerp, at that time part of the Spanish Netherlands. His son, Jacob, emigrated to Frankfurt am Main in 1570 to escape from the Inquisition in the Netherlands, Spanish persecution of the Protestants. Jacob's grandson, a spice trader, also named Jacob, moved to Basel, Switzerlan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Basel
Basel ( ; ), also known as Basle ( ), ; ; ; . is a city in northwestern Switzerland on the river Rhine (at the transition from the High Rhine, High to the Upper Rhine). Basel is Switzerland's List of cities in Switzerland, third-most-populous city (after Zurich and Geneva), with 177,595 inhabitants within the city municipality limits. The official language of Basel is Swiss Standard German and the main spoken language is the local Basel German dialect. Basel is commonly considered to be the cultural capital of Switzerland and the city is famous for its many Museums in Basel, museums, including the Kunstmuseum Basel, Kunstmuseum, which is the first collection of art accessible to the public in the world (1661) and the largest museum of Swiss art, art in Switzerland, the Fondation Beyeler (located in Riehen), the Museum Tinguely and the Museum of Contemporary Art (Basel), Museum of Contemporary Art, which is the first public museum of contemporary art in Europe. Forty museums ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Physics
Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." It is one of the most fundamental scientific disciplines. "Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alderman
An alderman is a member of a Municipal government, municipal assembly or council in many jurisdictions founded upon English law with similar officials existing in the Netherlands (wethouder) and Belgium (schepen). The term may be titular, denoting a high-ranking member of a borough or county council, a council member chosen by the elected members themselves rather than by Direct election, popular vote, or a council member elected by voters. Etymology The title is derived from the Old English title of ''ealdorman'', which literally means "elder person", and which was used by the chief nobles presiding over shires. Similar titles exist in other Germanic languages, such as ' in Swedish language, Swedish, ' in Norwegian language, Norwegian, ' in Danish language, Danish and Low German, ' in West Frisian language, West Frisian, ' in Dutch language, Dutch, and ' in German language, German. Finnish language, Finnish also has ', which was borrowed from Swedish. All of these words mean "eld ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ars Conjectandi
(Latin for "The Art of Conjecturing") is a book on combinatorics and mathematical probability written by Jacob Bernoulli and published in 1713, eight years after his death, by his nephew, Nicolaus I Bernoulli. The seminal work consolidated, apart from many combinatorial topics, many central ideas in probability theory, such as the very first version of the law of large numbers: indeed, it is widely regarded as the founding work of that subject. It also addressed problems that today are classified in the twelvefold way and added to the subjects; consequently, it has been dubbed an important historical landmark in not only probability but all combinatorics by a plethora of mathematical historians. The importance of this early work had a large impact on both contemporary and later mathematicians; for example, Abraham de Moivre. Bernoulli wrote the text between 1684 and 1689, including the work of mathematicians such as Christiaan Huygens, Gerolamo Cardano, Pierre de Fermat, and B ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bernoulli Numbers
In mathematics, the Bernoulli numbers are a sequence of rational numbers which occur frequently in analysis. The Bernoulli numbers appear in (and can be defined by) the Taylor series expansions of the tangent and hyperbolic tangent functions, in Faulhaber's formula for the sum of ''m''-th powers of the first ''n'' positive integers, in the Euler–Maclaurin formula, and in expressions for certain values of the Riemann zeta function. The values of the first 20 Bernoulli numbers are given in the adjacent table. Two conventions are used in the literature, denoted here by B^_n and B^_n; they differ only for , where B^_1=-1/2 and B^_1=+1/2. For every odd , . For every even , is negative if is divisible by 4 and positive otherwise. The Bernoulli numbers are special values of the Bernoulli polynomials B_n(x), with B^_n=B_n(0) and B^+_n=B_n(1). The Bernoulli numbers were discovered around the same time by the Swiss mathematician Jacob Bernoulli, after whom they are named, and ind ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Protestant
Protestantism is a branch of Christianity that emphasizes Justification (theology), justification of sinners Sola fide, through faith alone, the teaching that Salvation in Christianity, salvation comes by unmerited Grace in Christianity, divine grace, the priesthood of all believers, and the Bible as the sole infallible source of authority for Christian faith and practice. The five solae, five ''solae'' summarize the basic theological beliefs of mainstream Protestantism. Protestants follow the theological tenets of the Reformation, Protestant Reformation, a movement that began in the 16th century with the goal of reforming the Catholic Church from perceived Criticism of the Catholic Church, errors, abuses, and discrepancies. The Reformation began in the Holy Roman Empire in 1517, when Martin Luther published his ''Ninety-five Theses'' as a reaction against abuses in the sale of indulgences by the Catholic Church, which purported to offer the remission of the Purgatory, temporal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inquisition In The Netherlands
The Inquisition in the Netherlands was an extension of the Papal Inquisition in the Netherlands, established during the reign of Charles V. Although it was widely believed at the time that the government intended to introduce the Spanish Inquisition into the Netherlands, the Inquisition in the Netherlands remained separate from that of Spain. On 23 April 1523, Charles V appointed Frans Van der Hulst the first inquisitor general of the Seventeen Provinces, an appointment ratified by Pope Adrian VI. He and his successors were empowered by the imperial edict to actively search out and rigorously punish all those guilty or even suspected of heresy, or of aiding a heretic in any way. He was appointed inquisitor for County of Flanders in 1545 and was in office until the operation of the inquisition was suspended in 1566. Between 1523 and 1566, more than 1,300 people were executed as heretics, far more relative to the overall population than, for instance, in France. Before the death ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Frankfurt Am Main
Frankfurt am Main () is the most populous city in the States of Germany, German state of Hesse. Its 773,068 inhabitants as of 2022 make it the List of cities in Germany by population, fifth-most populous city in Germany. Located in the foreland of the Taunus on its namesake Main (river), Main, it forms a continuous conurbation with Offenbach am Main; Frankfurt Rhein-Main Regional Authority, its urban area has a population of over 2.7 million. The city is the heart of the larger Rhine-Main metropolitan region, which has a population of more than 5.8 million and is Germany's Metropolitan regions in Germany, second-largest metropolitan region after the Rhine-Ruhr metropolitan region, Rhine-Ruhr region and the List of EU metropolitan regions by GDP#2021 ranking of top four German metropolitan regions, fourth largest metropolitan region by GDP in the European Union (EU). Frankfurt is one of the ''de facto'' four main capitals of the European Union (alongside Brussels, Luxembourg Cit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spanish Netherlands
The Spanish Netherlands (; ; ; ) (historically in Spanish: , the name "Flanders" was used as a '' pars pro toto'') was the Habsburg Netherlands ruled by the Spanish branch of the Habsburgs from 1556 to 1714. They were a collection of States of the Holy Roman Empire in the Low Countries held in personal union by the Spanish Crown. This region comprised most of the modern states of Belgium and Luxembourg, as well as parts of northern France, the southern Netherlands, and western Germany, with the capital being Brussels. The Army of Flanders was given the task of defending the territory. The Imperial fiefs of the former Burgundian Netherlands had been inherited by the Austrian House of Habsburg from the extinct House of Valois-Burgundy upon the death of Mary of Burgundy in 1482. The Seventeen Provinces formed the core of the Habsburg Netherlands, which passed to the Spanish Habsburgs upon the abdication of Emperor Charles V in 1556. When part of the Netherlands separated to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Early Modern Switzerland
The early modern history of the Old Swiss Confederacy ('' Eidgenossenschaft'', also known as the "Swiss Republic" or ''Republica Helvetiorum'') and its constituent Thirteen Cantons encompasses the time of the Thirty Years' War (1618–1648) until the French invasion of 1798. The early modern period was characterized by an increasingly aristocratic and oligarchic ruling class as well as frequent economic or religious revolts. This period came to be referred to as the ''Ancien Régime'' retrospectively, in post-Napoleonic Switzerland. The loosely organized Confederation remained generally disorganized and crippled by the religious divisions created by the Swiss Reformation. During this period the Confederation gained formal independence from the Holy Roman Empire with support from France, and had very close relations with France. The early modern period also saw the growth of French-Swiss literature, and notable authors of the Age of Enlightenment such as the mathematicia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Patrician (post-Roman Europe)
Patricianship, the quality of belonging to a patriciate, began in the ancient world, where cities such as Ancient Rome had a social class of Patrician (ancient Rome), patrician families, whose members were initially the only people allowed to exercise many political functions. In the rise of European towns in the 12th and 13th centuries, the patriciate, a limited group of families with a special constitutional position, in Henri Pirenne's view, was the motive force. In 19th century Central Europe, the term had become synonymous with the upper Bourgeoisie and cannot be interchanged with the Middle Ages, medieval patriciate in Central Europe. In the maritime republics of the Italian Peninsula as well as in Geographical distribution of German speakers#Europe, German-speaking parts of Europe, the patricians were as a matter of fact the ruling body of the medieval town. Particularly in Italy, they were part of the nobility. With the establishment of the medieval towns, Italian city-s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
