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András Sárközy
András Sárközy (born in Budapest) is a Hungarian mathematician, working in analytic and combinatorial number theory, although his first works were in the fields of geometry and classical analysis. He has the largest number of papers co-authored with Paul Erdős (a total of 62); he has an Erdős number of one. He proved the Furstenberg–Sárközy theorem that every sequence of natural numbers with positive upper density contains two members whose difference is a full square. He was elected a corresponding member (1998), and a full member (2004) of the Hungarian Academy of Sciences. He received the Széchenyi Prize The Széchenyi Prize (), named after István Széchenyi, is a prize given in Hungary by the state, replacing the former State Prize in 1990 in recognition of those who have made an outstanding contribution to academic life in Hungary. Recipients ... (2010). He is the father of the mathematician Gábor N. Sárközy. References * {{DEFAULTSORT:Sarkozy, Andr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Budapest
Budapest is the Capital city, capital and List of cities and towns of Hungary, most populous city of Hungary. It is the List of cities in the European Union by population within city limits, tenth-largest city in the European Union by population within city limits and the List of cities and towns on the river Danube, second-largest city on the river Danube. The estimated population of the city in 2025 is 1,782,240. This includes the city's population and surrounding suburban areas, over a land area of about . Budapest, which is both a List of cities and towns of Hungary, city and Counties of Hungary, municipality, forms the centre of the Budapest metropolitan area, which has an area of and a population of 3,019,479. It is a primate city, constituting 33% of the population of Hungary. The history of Budapest began when an early Celts, Celtic settlement transformed into the Ancient Rome, Roman town of Aquincum, the capital of Pannonia Inferior, Lower Pannonia. The Hungarian p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Natural Density
In number theory, natural density, also referred to as asymptotic density or arithmetic density, is one method to measure how "large" a subset of the set of natural numbers is. It relies chiefly on the probability of encountering members of the desired subset when combing through the interval as grows large. For example, it may seem intuitively that there are more positive integers than perfect squares, because every perfect square is already positive and yet many other positive integers exist besides. However, the set of positive integers is not in fact larger than the set of perfect squares: both sets are infinite and countable and can therefore be put in one-to-one correspondence. Nevertheless if one goes through the natural numbers, the squares become increasingly scarce. The notion of natural density makes this intuition precise for many, but not all, subsets of the naturals (see Schnirelmann density, which is similar to natural density but defined for all subsets of \math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematicians From Budapest
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypatia of Alexandria ( – 415). She ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1941 Births
The Correlates of War project estimates this to be the deadliest year in human history in terms of conflict deaths, placing the death toll at 3.49 million. However, the Uppsala Conflict Data Program estimates that the subsequent year, 1942, was the deadliest such year. Death toll estimates for both 1941 and 1942 range from 2.28 to 7.71 million each. Events Below, the events of World War II have the "WWII" prefix. January * January–August – 10,072 men, women and children with mental and physical disabilities are asphyxiated with carbon monoxide in a gas chamber, at Hadamar Euthanasia Centre in Germany, in the first phase of mass killings under the Aktion T4 program here. * January 1 – Thailand's Prime Minister Plaek Phibunsongkhram decrees January 1 as the official start of the Thai solar calendar new year (thus the previous year that began April 1 had only 9 months). * January 3 – A decree (''Normalschrifterlass'') promulgated in Germany by Martin Bormann ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Purpose: Because living persons may suffer personal harm from inappropriate information, we should watch their articles carefully. By adding an article to this category, it marks them with a notice about sources whenever someone tries to edit them, to remind them of WP:BLP (biographies of living persons) policy that these articles must maintain a neutral point of view, maintain factual accuracy, and be properly sourced. Recent changes to these articles are listed on Special:RecentChangesLinked/Living people. Organization: This category should not be sub-categorized. Entries are generally sorted by family name In many societies, a surname, family name, or last name is the mostly hereditary portion of one's personal name that indicates one's family. It is typically combined with a given name to form the full name of a person, although several give .... Maintenance: Individuals of advanced age (over 90), for whom there has been no new documentation in the last ten ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Waterloo
The University of Waterloo (UWaterloo, UW, or Waterloo) is a Public university, public research university located in Waterloo, Ontario, Canada. The main campus is on of land adjacent to uptown Waterloo and Waterloo Park. The university also operates three satellite campuses and four affiliated school, affiliated university colleges. The university offers academic programs administered by six faculties and thirteen faculty-based schools. Waterloo operates the largest post-secondary co-operative education program in the world, with over 20,000 undergraduate students enrolled in the university's co-op program. Waterloo is a member of the U15 Group of Canadian Research Universities, U15, a group of research-intensive universities in Canada. The institution originates from the Waterloo College Associate Faculties, established on 4 April 1956; a semi-autonomous entity of Wilfrid Laurier University, Waterloo College, which was an Affiliated college, affiliate of the University of West ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gábor N
Gábor (sometimes written Gabor) may refer to: * Gábor (given name) * Gabor (surname) * Gabor sisters, the three famous actresses, Eva, Magda and Zsa Zsa * Several scientific terms named after Dennis Gabor ** Gabor atom ** Gabor filter, a linear filter used in image processing ** Gabor transform ** Gabor Medal The Gabor Medal is Awards, lectures and medals of the Royal Society, one of the medals awarded by the Royal Society for "acknowledged distinction of interdisciplinary work between the life sciences with other disciplines". The medal was creat ..., a medal of Royal Society awarded to biologists * ''Gabor'' (2014 film), a Spanish documentary film * ''Gabor'' (2021 film), a Canadian documentary film {{DEFAULTSORT:Gabor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Széchenyi Prize
The Széchenyi Prize (), named after István Széchenyi, is a prize given in Hungary by the state, replacing the former State Prize in 1990 in recognition of those who have made an outstanding contribution to academic life in Hungary. Recipients * Alex Szalay - 1991 * Ágnes Heller, Agnes Heller - 1995 * Cseh-Szombathy László, ifj. - 1994 * Eösze László - 2013 * János Kornai - 1994 * Vera T. Sós - 1997 * György Enyedi (geographer), György Enyedi - 1998 * Miklós Laczkovich - 1998 * Thomas Molnar - 2000 * Gyula O. H. Katona - 2005 * Katalin Keserü - 2007 * Mihály Simai - 2007 * András Szőllősy - 2007 * László Lovász - 2008 * András Jánossy - 2009 * Mária Augusztinovics – 2010 * András Sárközy - 2010 * Mihaly Csikszentmihalyi - 2011 * László Lénárd - 2011 * Lajos Pósa (mathematician), Lajos Pósa - 2011 * Gabor Stepan, Gábor Stépán - 2011 * Endre Szemerédi (2012) * György Kéri - 2013 * Telegdy Gyula - 2014 * Mária Schmidt, Miklós Simonovits - ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hungarian Academy Of Sciences
The Hungarian Academy of Sciences ( , MTA) is Hungary’s foremost and most prestigious learned society. Its headquarters are located along the banks of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. The Academy's primary functions include the advancement of scientific knowledge, the dissemination of research findings, the support of research and development, and the representation of science in Hungary both domestically and around the world. History The origins of the Hungarian Academy of Sciences date back to 1825, when Count István Széchenyi offered one year's income from his estate to establish a ''Learned Society''. He made this offer during a session of the Diet in Pressburg (Pozsony, now Bratislava), then the seat of the Hungarian Parliament. Inspired by his gesture, other delegates soon followed suit. The Society’s mission was defined as the development of the Hungarian language and the promotion of sciences and the arts in the Hungarian l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Natural Numbers
In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive integers Some authors acknowledge both definitions whenever convenient. Sometimes, the whole numbers are the natural numbers as well as zero. In other cases, the ''whole numbers'' refer to all of the integers, including negative integers. The counting numbers are another term for the natural numbers, particularly in primary education, and are ambiguous as well although typically start at 1. The natural numbers are used for counting things, like "there are ''six'' coins on the table", in which case they are called ''cardinal numbers''. They are also used to put things in order, like "this is the ''third'' largest city in the country", which are called ''ordinal numbers''. Natural numbers are also used as labels, like jersey numbers on a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hungary
Hungary is a landlocked country in Central Europe. Spanning much of the Pannonian Basin, Carpathian Basin, it is bordered by Slovakia to the north, Ukraine to the northeast, Romania to the east and southeast, Serbia to the south, Croatia and Slovenia to the southwest, and Austria to the west. Hungary lies within the drainage basin of the Danube, Danube River and is dominated by great lowland plains. It has a population of 9.6 million, consisting mostly of ethnic Hungarians, Hungarians (Magyars) and a significant Romani people in Hungary, Romani minority. Hungarian language, Hungarian is the Languages of Hungary, official language, and among Languages of Europe, the few in Europe outside the Indo-European languages, Indo-European family. Budapest is the country's capital and List of cities and towns of Hungary, largest city, and the dominant cultural and economic centre. Prior to the foundation of the Hungarian state, various peoples settled in the territory of present-day Hun ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Furstenberg–Sárközy Theorem
In mathematics, a square-difference-free set is a set of natural numbers, no two of which differ by a square number. Hillel Furstenberg and András Sárközy proved in the late 1970s the Furstenberg–Sárközy theorem of additive number theory showing that, in a certain sense, these sets cannot be very large. In the game of subtract a square, the positions where the next player loses form a square-difference-free set. Another square-difference-free set is obtained by doubling the Moser–de Bruijn sequence. The best known upper bound on the size of a square-difference-free set of numbers up to n is only slightly sublinear, but the largest known sets of this form are significantly smaller, of size \approx n^. Closing the gap between these upper and lower bounds remains an open problem. The sublinear size bounds on square-difference-free sets can be generalized to sets where certain other polynomials are forbidden as differences between pairs of elements. Example An example of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
