Rate of convergenceIn numerical analysis, the order of convergence and the rate of convergence of a convergent sequence are quantities that represent how quickly the sequence approaches its limit. A sequence that converges to is said to have order of convergence and rate of convergence if The rate of convergence is also called the asymptotic error constant. Note that this terminology is not standardized and some authors will use rate where this article uses order (e.g., ).
Edo societyEdo society refers to the society of Japan under the rule of the Tokugawa Shogunate during the Edo period from 1603 to 1868. Edo society was a feudal society with strict social stratification, customs, and regulations intended to promote political stability. Japanese people were assigned into a hierarchy of social classes based on the Four Occupations that were hereditary. The Emperor of Japan and the kuge were the official ruling class of Japan but had no power.
Radius of convergenceIn mathematics, the radius of convergence of a power series is the radius of the largest disk at the center of the series in which the series converges. It is either a non-negative real number or . When it is positive, the power series converges absolutely and uniformly on compact sets inside the open disk of radius equal to the radius of convergence, and it is the Taylor series of the analytic function to which it converges.
Leonhard EulerLeonhard Euler (ˈɔɪlər , ˈleːɔnhaʁt ˈɔʏlɐ; 15 April 1707 18 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus. He introduced much of modern mathematical terminology and notation, including the notion of a mathematical function.
Uniform convergenceIn the mathematical field of analysis, uniform convergence is a mode of convergence of functions stronger than pointwise convergence. A sequence of functions converges uniformly to a limiting function on a set as the function domain if, given any arbitrarily small positive number , a number can be found such that each of the functions differs from by no more than at every point in .
Pointwise convergenceIn mathematics, pointwise convergence is one of various senses in which a sequence of functions can converge to a particular function. It is weaker than uniform convergence, to which it is often compared. Suppose that is a set and is a topological space, such as the real or complex numbers or a metric space, for example. A net or sequence of functions all having the same domain and codomain is said to converge pointwise to a given function often written as if (and only if) The function is said to be the pointwise limit function of the Sometimes, authors use the term bounded pointwise convergence when there is a constant such that .
Nagoya([na̠ɡo̞ja̠]) naꜜɡoja) is the largest city in the Chūbu region, the fourth-most populous city and third most populous urban area in Japan, with a population of 2.3 million in 2020. It is one of the three major cities of Japan (Tokyo-Osaka-Nagoya). Located on the Pacific coast in central Honshu, it is the capital and the most populous city of Aichi Prefecture, and is one of Japan's major ports along with those of Tokyo, Osaka, Kobe, Yokohama, and Chiba.
Edo StateEdo, officially known as Edo State, is a state located in the South-South geopolitical zone of the federal republic of Nigeria. As of 2006 National population census, the state was ranked as the 24th populated state (3,233,366) in Nigeria. The state population figures is expected to be about 8,000,000 in 2022. Edo State is the 22nd largest State by landmass in Nigeria. The state's capital and largest city, Benin City, is the fourth largest city in Nigeria, and the centre of the country's rubber industry.
Edo peopleThe Edo people, sometimes referred to as the Bini (Benin) people, are an Edoid-speaking ethnic group who predominantly reside in 7 southern local government areas of the State of Edo, Nigeria. They are speakers the Edo language and are the descendants of the founders of the Benin Kingdom. They are closely related to other ethnic groups that speak Edoid languages, such as the Esan, the Etsakọ, the Isoko, and the Urhobo. The name "Benin" (and "Bini") is a Portuguese corruption, ultimately from the word "Ubini", which came into use during the reign of Oba (ruler) Ewuare, c.
AfricaAfrica is the world's second-largest and second-most populous continent, after Asia in both aspects. At about 30.3 million km2 (11.7 million square miles) including adjacent islands, it covers 20% of Earth's land area and 6% of its total surface area. With billion people as of , it accounts for about of the world's human population. Africa's population is the youngest amongst all the continents; the median age in 2012 was 19.7, when the worldwide median age was 30.4.
Runge–Kutta methodsIn numerical analysis, the Runge–Kutta methods (ˈrʊŋəˈkʊtɑː ) are a family of implicit and explicit iterative methods, which include the Euler method, used in temporal discretization for the approximate solutions of simultaneous nonlinear equations. These methods were developed around 1900 by the German mathematicians Carl Runge and Wilhelm Kutta. The most widely known member of the Runge–Kutta family is generally referred to as "RK4", the "classic Runge–Kutta method" or simply as "the Runge–Kutta method".
