Rassias Photo

	Rassias Photo Rassias is a surname. Notable people with the surname and uses of the name include: John Rassias (1925-2015), American language-teaching pioneer :Dartmouth College's Rassias Center for World Languages and Cultures which he founded Themistocles M. Rassias (born 1951), Greek mathematician :Aleksandrov–Rassias problem :Cauchy–Rassias stability :Hyers–Ulam–Rassias stability Vlassis G. Rassias Vlassis G. Rassias ( el, Βλάσης Γ. Ρασσιάς; 22 April 1959 – 7 July 2019) was a Greek writer, publisher, leader, and activist. Biography Rassias was born in Athens in 1959 and received a degree from the Athens University of Econo ... (1959–2019), Greek writer and neopagan leader {{surname ... [...More Info...] [...Related Items...] OR:* [Wikipedia] [Google] [Baidu]
picture info	John Rassias John Arthur Rassias (August 20, 1925 – December 2, 2015) was an American professor who developed a method for the teaching of foreign languages, the Rassias Method, also known as the Dartmouth Intensive Language Model. John Rassias founded the Dartmouth College's Rassias Center for World Languages and Cultures, Rassias Center for World Languages and Cultures, a department of Dartmouth College situated in the Office of the Provost that works with language learners and professionals from around the world. Rassias died in Norwich, Vermont, on December 2, 2015, at the age of 90. Dartmouth College's Rassias Center for World Languages and Cultures, run by Rassias’ daughter, Helene Rassias-Miles, continues to provide language education to Dartmouth community members and learners all over the world. Dartmouth undergraduates continue to receive language instruction through the Rassias Method. Throughout his career Rassias reached a large number of students and educators around the wor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Dartmouth College's Rassias Center For World Languages And Cultures The Rassias Center for World Languages and Cultures is a non-profit organization operating under the Provost’s Office at Dartmouth College in Hanover, NH. The goal of the Rassias Center is “to promote cultural understanding and to strengthen communication among people around the world.” Founding The Rassias Center was founded by John A. Rassias, William R. Kenan Professor of French and Italian at Dartmouth College. The Center was established in collaboration with the Provost’s Office in 1981. It began as a Language Outreach as a separate 501(c)(3) operating within Dartmouth College. In 2007 The Rassias Foundation became Dartmouth College’s Rassias Center for World Languages and Cultures and was absorbed by Dartmouth as a department under the Provost’s Office. Programs The Center’s Accelerated Language Programs (ALPs) operate every summer on the Dartmouth Campus. These 10-day immersive programs are designed to wholly engage participants in the target language. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Themistocles M Themistocles (; grc-gre, Θεμιστοκλῆς; c. 524–459 BC) was an Athenian politician and general. He was one of a new breed of non-aristocratic politicians who rose to prominence in the early years of the Athenian democracy. As a politician, Themistocles was a populist, having the support of lower-class Athenians, and generally being at odds with the Athenian nobility. Elected archon in 493 BC, he convinced the polis to increase the naval power of Athens, a recurring theme in his political career. During the first Persian invasion of Greece he fought at the Battle of Marathon (490 BC) and was possibly one of the ten Athenian ''strategoi'' (generals) in that battle. In the years after Marathon, and in the run-up to the second Persian invasion of 480–479 BC, Themistocles became the most prominent politician in Athens. He continued to advocate for a strong Athenian Navy, and in 483 BC he persuaded the Athenians to build a fleet of 200 triremes; these proved ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Aleksandrov–Rassias Problem The theory of isometries in the framework of Banach spaces has its beginning in a paper by Stanisław Mazur and Stanisław M. Ulam in 1932. They proved the Mazur–Ulam theorem stating that every isometry of a normed real linear space onto a normed real linear space is a linear mapping up to translation. In 1970, Aleksandr Danilovich Aleksandrov Aleksandr Danilovich Aleksandrov (russian: Алекса́ндр Дани́лович Алекса́ндров, alternative transliterations: ''Alexandr'' or ''Alexander'' (first name), and ''Alexandrov'' (last name)) (4 August 1912 – 27 July 19 ... asked whether the existence of a single conservative distance for a mapping implies that it is an isometry. Themistocles M. Rassias posed the following problem: Aleksandrov–Rassias Problem. If and are normed linear spaces and if is a continuous and/or surjective mapping such that whenever vectors and in satisfy \lVert x-y \rVert=1, then \lVert T(X)-T(Y) \rVert=1 (the distance one pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Cauchy–Rassias Stability A classical problem of Stanislaw Ulam in the theory of functional equations is the following: ''When is it true that a function which approximately satisfies a functional equation E must be close to an exact solution of E''? In 1941, Donald H. Hyers gave a partial affirmative answer to this question in the context of Banach spaces. This was the first significant breakthrough and a step towards more studies in this domain of research. Since then, a large number of papers have been published in connection with various generalizations of Ulam's problem and Hyers' theorem. In 1978, Themistocles M. Rassias succeeded in extending the Hyers' theorem by considering an unbounded Cauchy difference. He was the first to prove the stability of the linear mapping in Banach spaces. In 1950, T. Aoki had provided a proof of a special case of the Rassias' result when the given function is additive. For an extensive presentation of the stability of functional equations in the context of Ulam's proble ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Hyers–Ulam–Rassias Stability The stability problem of functional equations originated from a question of Stanisław Ulam, posed in 1940, concerning the stability of group homomorphisms. In the next year, Donald H. Hyers gave a partial affirmative answer to the question of Ulam in the context of Banach space In mathematics, more specifically in functional analysis, a Banach space (pronounced ) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vector ...s in the case of ''additive'' mappings, that was the first significant breakthrough and a step toward more solutions in this area. Since then, a large number of papers have been published in connection with various generalizations of Ulam's problem and Hyers's theorem. In 1978, Themistocles M. Rassias succeeded in extending Hyers's theorem for mappings between Banach spaces by considering an unbounded Cauchy difference subject to a continuity condition upo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]