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Adolf Zsigmondy
Dr. Adolf Zsigmondy, aka Adolph Zsigmondy (24 April 1816 in Pozsony (german: Pressburg), Kingdom of Hungary – 23 June 1880 in Vienna, Austria-Hungary) was a dentist of Hungarian origin who lived in Vienna. He is best known for inventing the idea of charting teeth on the Zsigmondy-cross (named after him). This is the basis of the presently used marking method recommended by the FDI. He was also the first to describe the contact and wear of the approximal side of the teeth. He continued to develop the cohesive gold fillings. His eldest son, Ottó Zsigmondy, was also a dentist. His more limited professional field of research was the preserving dentistry. He used sodium-superoxide for widening the root canal and he made permanent fillings of black hard gutta percha. On the basis of observations carried out on himself he described the two-phase or temporal mastication called after him. He was also much engaged with professional politics, in his publications he strove for recogni ...
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Pozsony
Bratislava (, also ; ; german: Preßburg/Pressburg ; hu, Pozsony) is the capital and largest city of Slovakia. Officially, the population of the city is about 475,000; however, it is estimated to be more than 660,000 — approximately 140% of the official figures. Bratislava is in southwestern Slovakia at the foot of the Little Carpathians, occupying both banks of the River Danube and the left bank of the River Morava. Bordering Austria and Hungary, it is the only national capital that borders two sovereign states. The city's history has been influenced by people of many nations and religions, including Austrians, Bulgarians, Croats, Czechs, Germans, Hungarians, Jews, Romani, Serbs and Slovaks. It was the coronation site and legislative center and capital of the Kingdom of Hungary from 1536 to 1783; eleven Hungarian kings and eight queens were crowned in St Martin's Cathedral. Most Hungarian parliament assemblies were held here from the 17th century until the Hungarian Re ...
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Nobel Prize In Chemistry
) , image = Nobel Prize.png , alt = A golden medallion with an embossed image of a bearded man facing left in profile. To the left of the man is the text "ALFR•" then "NOBEL", and on the right, the text (smaller) "NAT•" then "MDCCCXXXIII" above, followed by (smaller) "OB•" then "MDCCCXCVI" below. , awarded_for = Outstanding contributions in chemistry , presenter = Royal Swedish Academy of Sciences , location = Stockholm, Sweden , reward = 9 million SEK (2017) , year = 1901 , holder = Carolyn R. Bertozzi, Morten P. Meldal and Karl Barry Sharpless (2022) , most_awards = Frederick Sanger and Karl Barry Sharpless (2) , website nobelprize.org, previous = 2021 , year2=2022, main=2022, next=2023 The Nobel Prize in Chemistry is awarded annually by the Royal Swedish Academy of Sciences to scientists in the various fields of chemistry. It is one of the five Nobel Prizes established by the will of Alfred Nobel in 1895, awarde ...
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People From Bratislava
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of ...
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Austro-Hungarian Inventors
Austria-Hungary, often referred to as the Austro-Hungarian Empire,, the Dual Monarchy, or Austria, was a constitutional monarchy and great power in Central Europe between 1867 and 1918. It was formed with the Austro-Hungarian Compromise of 1867 in the aftermath of the Austro-Prussian War and was dissolved shortly after its defeat in the First World War. Austria-Hungary was ruled by the House of Habsburg and constituted the last phase in the constitutional evolution of the Habsburg monarchy. It was a multinational state and one of Europe's major powers at the time. Austria-Hungary was geographically the second-largest country in Europe after the Russian Empire, at and the third-most populous (after Russia and the German Empire). The Empire built up the fourth-largest machine building industry in the world, after the United States, Germany and the United Kingdom. Austria-Hungary also became the world's third-largest manufacturer and exporter of electric home appliances, el ...
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Hungarian Inventors
Hungarian may refer to: * Hungary, a country in Central Europe * Kingdom of Hungary, state of Hungary, existing between 1000 and 1946 * Hungarians, ethnic groups in Hungary * Hungarian algorithm, a polynomial time algorithm for solving the assignment problem * Hungarian language Hungarian () is an Uralic language spoken in Hungary and parts of several neighbouring countries. It is the official language of Hungary and one of the 24 official languages of the European Union. Outside Hungary, it is also spoken by Hungarian ..., a Finno-Ugric language spoken in Hungary and all neighbouring countries * Hungarian notation, a naming convention in computer programming * Hungarian cuisine, the cuisine of Hungary and the Hungarians See also * * {{disambiguation Language and nationality disambiguation pages ...
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Hungarian Dentists
Hungarian may refer to: * Hungary, a country in Central Europe * Kingdom of Hungary, state of Hungary, existing between 1000 and 1946 * Hungarians, ethnic groups in Hungary * Hungarian algorithm, a polynomial time algorithm for solving the assignment problem * Hungarian language Hungarian () is an Uralic language spoken in Hungary and parts of several neighbouring countries. It is the official language of Hungary and one of the 24 official languages of the European Union. Outside Hungary, it is also spoken by Hungarian ..., a Finno-Ugric language spoken in Hungary and all neighbouring countries * Hungarian notation, a naming convention in computer programming * Hungarian cuisine, the cuisine of Hungary and the Hungarians See also * * {{disambiguation Language and nationality disambiguation pages ...
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Austrian Dentists
Austrian may refer to: * Austrians, someone from Austria or of Austrian descent ** Someone who is considered an Austrian citizen, see Austrian nationality law * Austrian German dialect * Something associated with the country Austria, for example: ** Austria-Hungary ** Austrian Airlines (AUA) ** Austrian cuisine ** Austrian Empire ** Austrian monarchy ** Austrian German (language/dialects) ** Austrian literature ** Austrian nationality law ** Austrian Service Abroad ** Music of Austria ** Austrian School of Economics * Economists of the Austrian school of economic thought * The Austrian Attack variation of the Pirc Defence chess opening. See also * * * Austria (other) * Australian (other) * L'Autrichienne (other) is the feminine form of the French word , meaning "The Austrian". It may refer to: *A derogatory nickname for Queen Marie Antoinette of France *L'Autrichienne (film), ''L'Autrichienne'' (film), a 1990 French film on Marie Antoinette wit ...
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1880 Deaths
Year 188 (CLXXXVIII) was a leap year starting on Monday of the Julian calendar. At the time, it was known in the Roman Empire as the Year of the Consulship of Fuscianus and Silanus (or, less frequently, year 941 ''Ab urbe condita''). The denomination 188 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Publius Helvius Pertinax becomes pro-consul of Africa from 188 to 189. Japan * Queen Himiko (or Shingi Waō) begins her reign in Japan (until 248). Births * April 4 – Caracalla (or Antoninus), Roman emperor (d. 217) * Lu Ji (or Gongji), Chinese official and politician (d. 219) * Sun Shao, Chinese general of the Eastern Wu state (d. 241) Deaths * March 17 – Julian, pope and patriarch of Alexandria * Fa Zhen (or Gaoqing), Chinese scholar (b. AD 100) * Lucius Antistius Burrus, Roman politician (executed) * Ma Xiang, C ...
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1816 Births
This year was known as the ''Year Without a Summer'', because of low temperatures in the Northern Hemisphere, possibly the result of the Mount Tambora volcanic eruption in Indonesia in 1815, causing severe global cooling, catastrophic in some locations. Events January–March * December 25 1815–January 6 – Tsar Alexander I of Russia signs an order, expelling the Jesuits from St. Petersburg and Moscow. * January 9 – Sir Humphry Davy's Davy lamp is first tested underground as a coal mining safety lamp, at Hebburn Colliery in northeast England. * January 17 – Fire nearly destroys the city of St. John's, Newfoundland. * February 10 – Friedrich Karl Ludwig, Duke of Schleswig-Holstein-Sonderburg-Beck, dies and is succeeded by Friedrich Wilhelm, his son and founder of the House of Glücksburg. * February 20 – Gioachino Rossini's opera buffa ''The Barber of Seville'' premières at the Teatro Argentina in Rome. * March 1 – Th ...
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Zsigmondy's Theorem
In number theory, Zsigmondy's theorem, named after Karl Zsigmondy, states that if a>b>0 are coprime integers, then for any integer n \ge 1, there is a prime number ''p'' (called a ''primitive prime divisor'') that divides a^n-b^n and does not divide a^k-b^k for any positive integer k1 and n is not equal to 6, then 2^n-1 has a prime divisor not dividing any 2^k-1 with k. Similarly, a^n+b^n has at least one primitive prime divisor with the exception 2^3+1^3=9. Zsigmondy's theorem is often useful, especially in group theory, where it is used to prove that various groups have distinct orders except when they are known to be the same.


History

The theorem was discovered by Zsigmondy working in from 1894 until 1925.


Generalizations

Let (a_n)_ be a sequence of nonzero integers. The Zs ...
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Charles Scribner's Sons
Charles Scribner's Sons, or simply Scribner's or Scribner, is an American publisher based in New York City, known for publishing American authors including Henry James, Ernest Hemingway, F. Scott Fitzgerald, Kurt Vonnegut, Marjorie Kinnan Rawlings, Stephen King, Robert A. Heinlein, Thomas Wolfe, George Santayana, John Clellon Holmes, Don DeLillo, and Edith Wharton. The firm published '' Scribner's Magazine'' for many years. More recently, several Scribner titles and authors have garnered Pulitzer Prizes, National Book Awards and other merits. In 1978 the company merged with Atheneum and became The Scribner Book Companies. In turn it merged into Macmillan in 1984. Simon & Schuster bought Macmillan in 1994. By this point only the trade book and reference book operations still bore the original family name. After the merger, the Macmillan and Atheneum adult lists were merged into Scribner's and the Scribner's children list was merged into Atheneum. The former imprint, no ...
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New York City
New York, often called New York City or NYC, is the most populous city in the United States. With a 2020 population of 8,804,190 distributed over , New York City is also the most densely populated major city in the United States, and is more than twice as populous as second-place Los Angeles. New York City lies at the southern tip of New York State, and constitutes the geographical and demographic center of both the Northeast megalopolis and the New York metropolitan area, the largest metropolitan area in the world by urban landmass. With over 20.1 million people in its metropolitan statistical area and 23.5 million in its combined statistical area as of 2020, New York is one of the world's most populous megacities, and over 58 million people live within of the city. New York City is a global cultural, financial, entertainment, and media center with a significant influence on commerce, health care and life sciences, research, technology, education, ...
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