|
Itō (other)
Itō may refer to: *Itō (surname), a Japanese surname *Itō, Shizuoka, Shizuoka Prefecture, Japan *Ito District, Wakayama Prefecture, Japan See also *Itô's lemma, used in stochastic calculus *Itoh–Tsujii inversion algorithm, in field theory *Itô calculus, an extension of calculus to stochastic processes, named after Kiyoshi Itô *Ito (other) *ITO (other) Ito may refer to: Places * Ito Island, an island of Milne Bay Province, Papua New Guinea * Ito Airport, an airport in the Democratic Republic of the Congo * Ito District, Wakayama, a district located in Wakayama Prefecture, Japan * Itō, Shizuok ..., for the three-letter acronym {{DEFAULTSORT:Ito es:Ito fr:Ito nl:Ito ja:いとう pt:Ito ru:Ито ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Itō (surname)
Itō, Ito, Itou, Itoh or Itoo (written: or in hiragana) is the sixth most common Japanese surname. Less common variants are and . Notable people with the surname include: *, Japanese actress *, Japanese handball player *, Japanese manga artist * Akira Ito (other), multiple people *, Japanese comedian * Atsushi Ito (other), multiple people *, Japanese announcer *, Japanese speed skater *, Japanese actress *, Japanese voice actress *, Japanese singer, actress, dancer and model *, Japanese speed skater *, Japanese architect, architectural historian and critic * Daisuke Itō (other), multiple people *, Japanese footballer *David Ito (born 1966), Japanese comedian, actor and businessman *, Japanese writer *, Japanese singer *, Japanese cyclist *, Japanese long jumper *, Japanese motorcycle racer *, Japanese surgeon *, Japanese footballer *, Japanese swimmer *, Japanese baseball player *, Japanese rugby union player *, Japanese actor *, Japanese handball play ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Itō, Shizuoka
280px, Itō City Hall is a city located on the eastern shore of the Izu Peninsula in Shizuoka Prefecture, Japan. , the city had an estimated population of 68,773 in 36,717 households and a population density of 550 persons per km². The total area was . Geography Itō is located in eastern Shizuoka Prefecture, on the northeast corner of Izu Peninsula, facing Sagami Bay on the Pacific Ocean. The landscape is hilly, and the heavily indented coastline is scenic. Much of the coastal area of the city is within the Fuji-Hakone-Izu National Park. The city is located within the Izu-Tobu volcanic zone, and is subject to frequent earthquakes. The area is noted for its onsen hot spring resorts. Surrounding municipalities Shizuoka Prefecture *Atami *Izu *Izunokuni * Higashiizu Demographics Per Japanese census data, the population of Itō peaked in around the year 2000, and has declined slightly since. Climate The city has a climate characterized by hot and humid summers, and rel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ito District, Wakayama
is a district located in Wakayama Prefecture, Japan. As of September 1, 2008, the district has an estimated population of 28,171 and a density of 84.6 persons/km2. The total area is 332.93 km2. Towns and villages * Katsuragi * Kōya * Kudoyama 270px, Jison-in temple is a town located in Ito District, Wakayama Prefecture, Japan. , the town had an estimated population of 3,996 in 1770 households and a population density of 91 persons per km². The total area of the town is . Geogra ... Timeline * On October 1, 2005 the village of Hanazono merged into the town of Katsuragi. (4 towns) * On March 1, 2006 the town of Kōyaguchi merged with the old city of Hashimoto to form the new city of Hashimoto. (3 towns) Districts in Wakayama Prefecture {{Wakayama-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Itô's Lemma
In mathematics, Itô's lemma or Itô's formula (also called the Itô-Doeblin formula, especially in French literature) is an identity used in Itô calculus to find the differential of a time-dependent function of a stochastic process. It serves as the stochastic calculus counterpart of the chain rule. It can be heuristically derived by forming the Taylor series expansion of the function up to its second derivatives and retaining terms up to first order in the time increment and second order in the Wiener process increment. The lemma is widely employed in mathematical finance, and its best known application is in the derivation of the Black–Scholes equation for option values. Motivation Suppose we are given the stochastic differential equation dX_t = \mu_t\ dt + \sigma_t\ dB_t, where is a Wiener process and the functions \mu_t, \sigma_t are deterministic (not stochastic) functions of time. In general, it's not possible to write a solution X_t directly in terms of B_t. Howeve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Itoh–Tsujii Inversion Algorithm
The Itoh–Tsujii inversion algorithm is used to invert elements in a finite field. It was introduced in 1988, first over GF(2''m'') using the normal basis representation of elements, however, the algorithm is generic and can be used for other bases, such as the polynomial basis. It can also be used in any finite field GF(''p''''m''). The algorithm is as follows: : Input: ''A'' ∈ GF(''p''''m'') : Output: ''A''−1 :# ''r'' ← (''p''''m'' − 1)/(''p'' − 1) :# compute ''A''''r'' − 1 in GF(''p''''m'') :# compute ''A''''r'' = ''A''''r'' − 1 · ''A'' :# compute (''A''''r'')−1 in GF(''p'') :# compute ''A''−1 = (''A''''r'')−1 · ''A''''r'' −1 :# return ''A''−1 This algorithm is fast because steps 3 and 5 both involve operations in the subfield GF(''p''). Similarly, if a small value of ''p'' is used, a lookup table can be used for inversion in step 4. The majority of time spent in this algorithm is in step 2, the first expone ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Itô Calculus
Itô calculus, named after Kiyosi Itô, extends the methods of calculus to stochastic processes such as Brownian motion (see Wiener process). It has important applications in mathematical finance and stochastic differential equations. The central concept is the Itô stochastic integral, a stochastic generalization of the Riemann–Stieltjes integral in analysis. The integrands and the integrators are now stochastic processes: :Y_t=\int_0^t H_s\,dX_s, where ''H'' is a locally square-integrable process adapted to the filtration generated by ''X'' , which is a Brownian motion or, more generally, a semimartingale. The result of the integration is then another stochastic process. Concretely, the integral from 0 to any particular ''t'' is a random variable, defined as a limit of a certain sequence of random variables. The paths of Brownian motion fail to satisfy the requirements to be able to apply the standard techniques of calculus. So with the integrand a stochastic process, the Itô ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ito (other)
Ito may refer to: Places * Ito Island, an island of Milne Bay Province, Papua New Guinea * Ito Airport, an airport in the Democratic Republic of the Congo * Ito District, Wakayama, a district located in Wakayama Prefecture, Japan * Itō, Shizuoka People * Itō (surname), for people with the Japanese surname Itō * , Japanese voice actor * Princess Ito (died 861), Japanese imperial princess * Ito Giani (1941–2018), Italian sprinter * Ito (footballer, born 1975), full name Antonio Álvarez Pérez, Spanish footballer * Ito (footballer, born 1992), full name Jorge Delgado Fidalgo, Spanish footballer * Ito (footballer, born 1994), full name Mario Manuel de Oliveira, Angolan footballer * , Japanese fashion model and actress (born 1995), Japanese fashion model and actress *Ito Smith (born 1995), American football player * Ito Curata (1959–2020), Filipino fashion designer * Ito Morabito (born 1977), French designer * Ito Ogawa (born 1973), Japanese novelist, lyricist, and translat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
ITO (other)
Ito may refer to: Places * Ito Island, an island of Milne Bay Province, Papua New Guinea * Ito Airport, an airport in the Democratic Republic of the Congo * Ito District, Wakayama, a district located in Wakayama Prefecture, Japan * Itō, Shizuoka People * Itō (surname), for people with the Japanese surname Itō * , Japanese voice actor * Princess Ito (died 861), Japanese imperial princess * Ito Giani (1941–2018), Italian sprinter * Ito (footballer, born 1975), full name Antonio Álvarez Pérez, Spanish footballer * Ito (footballer, born 1992), full name Jorge Delgado Fidalgo, Spanish footballer * Ito (footballer, born 1994), full name Mario Manuel de Oliveira, Angolan footballer * , Japanese fashion model and actress (born 1995), Japanese fashion model and actress *Ito Smith (born 1995), American football player * Ito Curata (1959–2020), Filipino fashion designer * Ito Morabito (born 1977), French designer * Ito Ogawa (born 1973), Japanese novelist, lyricist, and translat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
