In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample mean converges to a standard normal distribution. This holds even if the original variables themselves are not normally distributed. There are several versions of the CLT, each applying in the context of different conditions.
In 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 pointin. Described in an informal way, if converges to uniformly, then how quickly the functions approach is "uniform" throughout in the following sense: in order to guarantee that differs from by less than a chosen distance , we only need to make sure that is larger than or equal to a certain , which we can find without knowing the value of in advance. In other words, there exists a number that could depend on but is independent of , such that choosing will ensure that for all . In contrast, pointwise convergence of to merely guarantees that for any given in advance, we can find such that, for that particular, falls within of whenever .
Nabemono, or simply nabe, is a variety of Japanese hot pot dishes, also known as one pot dishes and "things in a pot".
In mathematics, a moment problem arises as the result of trying to invert the mapping that takes a measure to the sequence of moments
Peasant foods are dishes eaten by peasants, made from accessible and inexpensive ingredients.
French onion soup is a soup of onions, gently fried and then cooked in meat stock or water, usually served gratinéed with croutons or a larger piece of bread covered with cheese floating on top. Onion soups were known in France since medieval times, but the version now familiar dates from the mid-19th century.
In mathematics, Borel summation is a summation method for divergent series, introduced by Émile Borel. It is particularly useful for summing divergent asymptotic series, and in some sense gives the best possible sum for such series. There are several variations of this method that are also called Borel summation, and a generalization of it called Mittag-Leffler summation.
Pot-au-feu is a French dish of slowly boiled meat and vegetables, usually served as two courses: first the broth (bouillon) and then the meat (bouilli) and vegetables. The dish is familiar throughout France and has many regional variations. The best-known have beef as the main meat, but pork, chicken, and sausage are also used.
Jeongol (Korean: 전골) is a Korean-style hot pot made by putting meat, mushroom, seafood, seasoning, etc., in a stew pot, adding broth, and boiling it. It is similar to the category of Korean stews called jjigae, with the main difference being that jjigae are generally made with only a single main ingredient, and named after that ingredient, while jeongol usually contain a variety of main ingredients. An additional difference is that jeongol was originally a dish for upper-class Koreans and members of the royal court, while jjigae was a simpler dish for commoners.
Doenjang-jjigae (Korean: 된장찌개), referred to in English as soybean paste stew, is a Korean traditional jjigae, made from the primary ingredient of doenjang, and additional optional ingredients vegetables, seafood, and meat. It is one of the most iconic and popular traditional dishes in Korean cuisine, and is often eaten regularly regardless of occasion or time of day. Doenjang-jjigae was initially made with home-made doenjang; however, due to extensive industrialisation of soybean paste, households and restaurants nowadays use factory-made doenjang instead as their ingredient. From traditional to modern Korean cuisine, doenjang has become one of the most frequently used jang (sauce/paste). It is claimed as a national dish.
Soup is a primarily liquid food, generally served warm or hot, that is made by combining ingredients of meat or vegetables with stock, milk, or water. Hot soups are additionally characterized by boiling solid ingredients in liquids in a pot until the flavors are extracted, forming a broth. Soups are similar to stews, and in some cases there may not be a clear distinction between the two; however, soups generally have more liquid (broth) than stews.
Chicken mull is a traditional dish from North Carolina, upstate South Carolina, and Georgia. It is a type of stew consisting of parboiled whole chicken in a cream- or milk-based broth, butter, and seasoned with salt, pepper, and other ingredients. Traditionally, the stew is served in the late fall and winter months. In northern Georgia, this part of the year is often referred to as "mull season". Often, the term "chicken stew" or "chicken mull" refers to an event or gathering where the dish is served.
In mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes its values in the extended real number line which consists of the real numbers and
Bollito misto is a classic northern Italian stew, most closely resembling the French pot-au-feu, consisting of various tougher cuts of beef and veal, cotechino, and a whole hen or capon that are gently simmered for 2–3 hours in an aromatic vegetable broth. Bollito and its many regional variations are eaten throughout northern Italy, and is particularly popular in Emilia-Romagna, Piedmont, and Lombardy. The meat is sliced thinly and served with coarse sea salt, mostarda, salsa verde, horseradish, or chutney. The resulting broth is skimmed, strained, and used as a base for soups and risottos.
Chim chum is a Southeast Asian street food, popular especially in Thailand. It is traditionally made with chicken or pork and fresh herbs such as galangal, sweet basil, lemongrass and kaffir lime leaves, cooked in a small clay pot on a charcoal stove. It is often served with nam chim.
Chinese regional cuisines are amongst the many different cuisines found in different provinces and prefectures of China as well as from larger overseas Chinese communities.
Hot pot or hotpot, also known as steamboat, is a dish whereby a heat source placed on the dining table keeps a pot of soup stock simmering, and accompanied with an array of Chinese foodstuffs and ingredients and food offerings provided for the diners to dip into the flavorful broth.
A stew is a combination of solid food ingredients that have been cooked in liquid and served in the resultant gravy. Ingredients can include any combination of vegetables and may include meat, especially tougher meats suitable for slow-cooking, such as beef, pork, venison, rabbit, lamb, poultry, sausages, and seafood. While water can be used as the stew-cooking liquid, stock is also common. A small amount of red wine or other alcohol is sometimes added for flavour. Seasonings and flavourings may also be added. Stews are typically cooked at a relatively low temperature, allowing flavours to mingle.
In the mathematical theory of random processes, the Markov chain central limit theorem has a conclusion somewhat similar in form to that of the classic central limit theorem (CLT) of probability theory, but the quantity in the role taken by the variance in the classic CLT has a more complicated definition. See also the general form of Bienaymé's identity.
