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Stanisław Krystyn Zaremba (mathematician)
Stanisław Krystyn Zaremba (August 15, 1903, in Cracow – January 14, 1990, in Aberystwyth, Wales) was a Polish climber, mountaineer and mathematician. He was the son of Stanisław Zaremba (1863–1942), also a mathematician. Zaremba is known for his contributions to low-discrepancy sequences, low-discrepancy sets of points, and their application to Quasi-Monte Carlo methods for numerical integration. He is one of the namesakes of the Hlawka–Zaremba formula in the theory of low-discrepancy sequences. Education and career Zaremba studied mathematics at the Jagiellonian University (1921-1924, 1926-1929) and in Paris (1924–26). After his studies he was an assistant at Vilnius University and since 1936 he was an associate professor at Jagiellonian University. He then worked as a lecturer in Stalinabad (nowadays Dushanbe in Tajikistan), England, Wales, United States and Canada, eventually settling in Wales, where he died in 1990. He visited Poland well into his old age, lectur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stanisław Zaremba (mathematician)
Stanisław Zaremba (3 October 1863 – 23 November 1942) was a Polish mathematician and engineer.. His research in partial differential equations, applied mathematics and classical analysis, particularly on harmonic functions, gained him a wide recognition. He was one of the mathematicians who contributed to the success of the Polish School of Mathematics through his teaching and organizational skills as well as through his research. Apart from his research works, Zaremba wrote many university textbooks and monographies. He was a professor of the Jagiellonian University (since 1900), member of Academy of Learning (since 1903), co-founder and president of the Polish Mathematical Society (1919). He should not be confused with his son Stanisław Krystyn Zaremba, also a mathematician. Biography Zaremba was born on 3 October 1863 in Romanówka, present-day Ukraine. The son of an engineer, he was educated at a grammar school in Saint Petersburg and studied at the Institute of Techn ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
United States
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territories, nine Minor Outlying Islands, and 326 Indian reservations. The United States is also in free association with three Pacific Island sovereign states: the Federated States of Micronesia, the Marshall Islands, and the Republic of Palau. It is the world's third-largest country by both land and total area. It shares land borders with Canada to its north and with Mexico to its south and has maritime borders with the Bahamas, Cuba, Russia, and other nations. With a population of over 333 million, it is the most populous country in the Americas and the third most populous in the world. The national capital of the United States is Washington, D.C. and its most populous city and principal financial center is New York City. Paleo-Americ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wrocław's Dwarfs
Wrocław’s gnomes ( pl, krasnale) are small figurines (20-30 cm) that first appeared in the streets of Wrocław, Poland in 2005. Since then, their numbers have been continually growing, and today they are considered a tourist attraction: those who would like to combine sight-seeing in Wrocław with "Hunting for dwarfs" are offered special brochures with a map and mobile application software for smartphones. In April 2019, there were already 600 dwarfs in the city. Six are located outside the city at the LG plant in Biskupice Podgórne. History In 2001, to commemorate the Orange Alternative (Polish anti-communist movement), a monument of a gnome (the movement’s symbol) was officially placed on Świdnicka Street, where the group’s gatherings used to take place. In 2003, the Mayor of Wrocław, in an attempt to continue the new tradition, unveiled a small plaque on the door of The Dwarves’ Museum. It can be found at the height of human knees on the wall of a historic ten ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Iran
Iran, officially the Islamic Republic of Iran, and also called Persia, is a country located in Western Asia. It is bordered by Iraq and Turkey to the west, by Azerbaijan and Armenia to the northwest, by the Caspian Sea and Turkmenistan to the north, by Afghanistan and Pakistan to the east, and by the Gulf of Oman and the Persian Gulf to the south. It covers an area of , making it the 17th-largest country. Iran has a population of 86 million, making it the 17th-most populous country in the world, and the second-largest in the Middle East. Its largest cities, in descending order, are the capital Tehran, Mashhad, Isfahan, Karaj, Shiraz, and Tabriz. The country is home to one of the world's oldest civilizations, beginning with the formation of the Elamite kingdoms in the fourth millennium BC. It was first unified by the Medes, an ancient Iranian people, in the seventh century BC, and reached its territorial height in the sixth century BC, when Cyrus the Great fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lebanon
Lebanon ( , ar, لُبْنَان, translit=lubnān, ), officially the Republic of Lebanon () or the Lebanese Republic, is a country in Western Asia. It is located between Syria to the north and east and Israel to the south, while Cyprus lies to its west across the Mediterranean Sea; its location at the crossroads of the Mediterranean Basin and the Arabian hinterland has contributed to its rich history and shaped a cultural identity of religious diversity. It is part of the Levant region of the Middle East. Lebanon is home to roughly six million people and covers an area of , making it the second smallest country in continental Asia. The official language of the state is Arabic, while French is also formally recognized; the Lebanese dialect of Arabic is used alongside Modern Standard Arabic throughout the country. The earliest evidence of civilization in Lebanon dates back over 7000 years, predating recorded history. Modern-day Lebanon was home to the Phoenicians, a m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pyrenees
The Pyrenees (; es, Pirineos ; french: Pyrénées ; ca, Pirineu ; eu, Pirinioak ; oc, Pirenèus ; an, Pirineus) is a mountain range straddling the border of France and Spain. It extends nearly from its union with the Cantabrian Mountains to Cap de Creus on the Mediterranean Sea, Mediterranean coast. It reaches a maximum altitude of at the peak of Aneto. For the most part, the main crest forms a divide between Spain and France, with the microstate of Andorra sandwiched in between. Historically, the Crown of Aragon and the Kingdom of Navarre extended on both sides of the mountain range. Etymology In Greek mythology, Pyrene (mythology), Pyrene is a princess who eponym, gave her name to the Pyrenees. The Greek historiography, Greek historian Herodotus says Pyrene is the name of a town in Celts, Celtic Europe. According to Silius Italicus, she was the virgin daughter of Bebryx, a king in Narbonensis, Mediterranean Gaul by whom the hero Hercules was given hospitality during his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alps
The Alps () ; german: Alpen ; it, Alpi ; rm, Alps ; sl, Alpe . are the highest and most extensive mountain range system that lies entirely in Europe, stretching approximately across seven Alpine countries (from west to east): France, Switzerland, Italy, Liechtenstein, Austria, Germany, and Slovenia. The Alpine arch generally extends from Nice on the western Mediterranean to Trieste on the Adriatic and Vienna at the beginning of the Pannonian Basin. The mountains were formed over tens of millions of years as the African and Eurasian tectonic plates collided. Extreme shortening caused by the event resulted in marine sedimentary rocks rising by thrusting and folding into high mountain peaks such as Mont Blanc and the Matterhorn. Mont Blanc spans the French–Italian border, and at is the highest mountain in the Alps. The Alpine region area contains 128 peaks higher than . The altitude and size of the range affect the climate in Europe; in the mountains, precipitation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tatra Mountains
The Tatra Mountains (), Tatras, or Tatra (''Tatry'' either in Slovak language, Slovak () or in Polish language, Polish () - ''plurale tantum''), are a series of mountains within the Western Carpathians that form a natural border between Slovakia and Poland. They are the highest mountains the Carpathians. The Tatras are distinct from the Low Tatras ( sk, Nízke Tatry), a separate Slovak mountain range further south. The Tatra Mountains occupy an area of , of which about (77.7%) lie within Slovakia and about (22.3%) within Poland. The highest peak, called Gerlachovský štít, at 2,655 m (8710 ft), is located north of Poprad, entirely in Slovakia. The highest point in Poland, Rysy, at 2,499 m (8200 ft), is located south of Zakopane, on the border with Slovakia. The Tatras' length, measured from the eastern foothills of the ''Kobylí vrch'' (1109 m) to the southwestern foot of ''Ostrý vrch'' (1128 m), in a straight line, is (or according to some), and str ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Canada
Canada is a country in North America. Its ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, covering over , making it the world's second-largest country by total area. Its southern and western border with the United States, stretching , is the world's longest binational land border. Canada's capital is Ottawa, and its three largest metropolitan areas are Toronto, Montreal, and Vancouver. Indigenous peoples have continuously inhabited what is now Canada for thousands of years. Beginning in the 16th century, British and French expeditions explored and later settled along the Atlantic coast. As a consequence of various armed conflicts, France ceded nearly all of its colonies in North America in 1763. In 1867, with the union of three British North American colonies through Confederation, Canada was formed as a federal dominion of four provinces. This began an accretion of provinces an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wales
Wales ( cy, Cymru ) is a Countries of the United Kingdom, country that is part of the United Kingdom. It is bordered by England to the Wales–England border, east, the Irish Sea to the north and west, the Celtic Sea to the south west and the Bristol Channel to the south. It had a population in 2021 of 3,107,500 and has a total area of . Wales has over of coastline and is largely mountainous with its higher peaks in the north and central areas, including Snowdon (), its highest summit. The country lies within the Temperateness, north temperate zone and has a changeable, maritime climate. The capital and largest city is Cardiff. Welsh national identity emerged among the Celtic Britons after the Roman withdrawal from Britain in the 5th century, and Wales was formed as a Kingdom of Wales, kingdom under Gruffydd ap Llywelyn in 1055. Wales is regarded as one of the Celtic nations. The Conquest of Wales by Edward I, conquest of Wales by Edward I of England was completed by 1283, th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Low-discrepancy Sequence
In mathematics, a low-discrepancy sequence is a sequence with the property that for all values of ''N'', its subsequence ''x''1, ..., ''x''''N'' has a low discrepancy. Roughly speaking, the discrepancy of a sequence is low if the proportion of points in the sequence falling into an arbitrary set ''B'' is close to proportional to the measure of ''B'', as would happen on average (but not for particular samples) in the case of an equidistributed sequence. Specific definitions of discrepancy differ regarding the choice of ''B'' ( hyperspheres, hypercubes, etc.) and how the discrepancy for every B is computed (usually normalized) and combined (usually by taking the worst value). Low-discrepancy sequences are also called quasirandom sequences, due to their common use as a replacement of uniformly distributed random numbers. The "quasi" modifier is used to denote more clearly that the values of a low-discrepancy sequence are neither random nor pseudorandom, but such sequences share so ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
England
England is a country that is part of the United Kingdom. It shares land borders with Wales to its west and Scotland to its north. The Irish Sea lies northwest and the Celtic Sea to the southwest. It is separated from continental Europe by the North Sea to the east and the English Channel to the south. The country covers five-eighths of the island of Great Britain, which lies in the North Atlantic, and includes over 100 smaller islands, such as the Isles of Scilly and the Isle of Wight. The area now called England was first inhabited by modern humans during the Upper Paleolithic period, but takes its name from the Angles, a Germanic tribe deriving its name from the Anglia peninsula, who settled during the 5th and 6th centuries. England became a unified state in the 10th century and has had a significant cultural and legal impact on the wider world since the Age of Discovery, which began during the 15th century. The English language, the Anglican Church, and Engli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
_Wroclaw_dwarf_01.JPG "Click for more on -> Wrocław's Dwarfs")
