Please answer this: Information: - In the theory of finite population sampling , Bernoulli sampling is a sampling process where each element of the population that is sampled is subjected to an independent Bernoulli trial which determines whether the element becomes part of the sample during the drawing of a single sample . An essential property of Bernoulli sampling is that all elements of the population have equal probability of being included in the sample during the drawing of a single sample . Bernoulli sampling is therefore a special case of Poisson sampling . In Poisson sampling each element of the population may have a different probability of being included in the sample . In Bernoulli sampling , the probability is equal for all the elements . Because each element of the population is considered separately for the sample , the sample size is not fixed but rather follows a binomial distribution . - Probability is the measure of the likelihood that an event will occur. Probability is quantified as a number between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty). The higher the probability of an event, the more certain that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is unbiased, the two outcomes ("head" and "tail") are both equally probable; the probability of "head" equals the probability of "tail". Since no other outcomes are possible, the probability is 1/2 (or 50%), of either "head" or "tail". In other words, the probability of "head" is 1 out of 2 outcomes and the probability of "tail" is also 1 out of 2 outcomes, expressed as 0.5 when converted to decimal, with the above-mentioned quantification system. This type of probability is also called a priori probability. - In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted. It is named after Jacob Bernoulli, a 17th century Swiss mathematician. - Jacob Bernoulli (also known as James or Jacques; 16 August 1705) was one of the many prominent mathematicians in the Bernoulli family. He was an early proponent of Leibnizian calculus and had sided with Leibniz during the LeibnizNewton calculus controversy. He is known for his numerous contributions to calculus, and along with his brother Johann, was one of the founders of the calculus of variations. However, his most important contribution was in the field of probability, where he derived the first version of the law of large numbers in his work "Ars Conjectandi". What entity does 'bernoulli sampling' has the relation 'named after' with?
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Answer: jacob bernoulli

Please answer this: Information: - Colonel Martin Madan ( 1700 - 1756 ) was groom of the bedchamber to Frederick , Prince of Wales , and MP for Wootton Basset from 1742 to 1747 . Madan also served as a colonel in the Dragoon Guards . - Dragoon Guards was the designation used to refer to certain heavy cavalry regiments in the British Army from the 18th century onwards. While the Prussian and Russian armies of the same period included dragoon regiments among their respective Imperial Guards, different titles were applied to these units. - Cavalry (from French "cavalerie", cf. "cheval" 'horse') or horsemen were soldiers or warriors who fought mounted on horseback. Cavalry were historically the most mobile of the combat arms. An individual soldier in the cavalry is known by a number of designations such as cavalryman, horseman, dragoon or trooper. The designation of cavalry was not usually given to any military forces that used other animals, such as camels, mules or elephants. Infantry who moved on horseback, but dismounted to fight on foot, were known in the 17th and early 18th centuries as dragoons, a class of mounted infantry which later evolved into cavalry proper while retaining their historic title. - A regiment is a military unit. Their role and size varies markedly, depending on the country and the arm of service. What entity does 'martin madan ' has the relation 'military branch' with?
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Answer: british army

Please answer this: Information: - The curveball is a type of pitch in baseball thrown with a characteristic grip and hand movement that imparts forward spin to the ball , causing it to dive in a downward path as it approaches the plate . Its close relatives are the slider and the slurve . The '' curve '' of the ball varies from pitcher to pitcher . Outside the context of baseball , variants of the expression '' to throw a curveball '' essentially translate to introducing a significant deviation to a preceding concept . - A portmanteau (; plural "portmanteaus" or "portmanteaux" ) or portmanteau word is a linguistic blend of words, in which parts of multiple words or their phones (sounds) are combined into a new word. as in "smog", coined by blending "smoke" and "fog", or "popportunity", from "popping" and "opportunity", or "motel", from "motor" and "hotel". In linguistics, a portmanteau is defined as a single morph that represents two or more morphemes. - In baseball, a slider is a breaking ball pitch that tails laterally and down through the batter's hitting zone; it is thrown with speed less than a fastball but greater than the pitcher's curveball. - The slurve is a baseball pitch in which the pitcher throws a slider as if it were a curve ball. The term is a portmanteau of slider and curve. - Baseball is a bat-and-ball game played between two teams of nine players each, who take turns batting and fielding. - In baseball, the pitcher is the player who throws the baseball from the pitcher's mound toward the catcher to begin each play, with the goal of retiring a batter, who attempts to either make contact with the pitched ball or draw a walk. In the numbering system used to record defensive plays, the pitcher is assigned the number 1. The pitcher is often considered the most important defensive player, and as such is situated at the right end of the defensive spectrum. There are many different types of pitchers, such as the starting pitcher, relief pitcher, middle reliever, lefty specialist, setup man, and closer. - The fastball is the most common type of pitch thrown by pitchers in baseball and softball. "Power pitchers," such as former American major leaguers Nolan Ryan and Roger Clemens, rely on speed to prevent the ball from being hit, and have thrown fastballs at speeds of 95105mph (152.9169.14km/h) (officially) and up to 108.1mph (174km/h) (unofficially). Pitchers who throw more slowly can put movement on the ball, or throw it on the outside of home plate where batters can't easily reach it. - In baseball, a breaking ball is a pitch that does not travel straight as it approaches the batter; it will have sideways or downward motion on it, sometimes both (see slider). A breaking ball is not a specific pitch by that name, but is any pitch that "breaks", such as a curveball, slider, or cutteralso known as a cut fastball. A pitcher who primarily uses breaking ball pitches is often referred to as a junkballer. What entity does 'curveball' has the relation 'subclass of' with?
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Answer:
breaking ball