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Duckworth–Lewis–Stern Method
The Duckworth–Lewis–Stern method (DLS) is a mathematical formulation designed to calculate the target score (number of runs needed to win) for the team batting second in a limited overs cricket match interrupted by weather or other circumstances. The method was devised by two English statisticians, Frank Duckworth and Tony Lewis (mathematician), Tony Lewis (not to be confused with former cricketer Tony Lewis), and was formerly known as the Duckworth–Lewis method (D/L). It was introduced in 1997, and adopted officially by the ICC in 1999. After the retirements of Duckworth and Lewis, Steven Stern, Professor Steven Stern became the custodian of the method and it was renamed to its current title in November 2014. The target score in cricket matches without interruptions is one more than the number of runs scored by the team that batted first. When over (cricket), overs are lost, setting an adjusted target for the team batting second is not as simple as reducing the run targe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Oval Test Match - Geograph
''The'' () is a grammatical article in English, denoting persons or things already mentioned, under discussion, implied or otherwise presumed familiar to listeners, readers, or speakers. It is the definite article in English. ''The'' is the most frequently used word in the English language; studies and analyses of texts have found it to account for seven percent of all printed English-language words. It is derived from gendered articles in Old English which combined in Middle English and now has a single form used with pronouns of any gender. The word can be used with both singular and plural nouns, and with a noun that starts with any letter. This is different from many other languages, which have different forms of the definite article for different genders or numbers. Pronunciation In most dialects, "the" is pronounced as (with the voiced dental fricative followed by a schwa) when followed by a consonant sound, and as (homophone of pronoun ''thee'') when followed by a v ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zimbabwe National Cricket Team
The Zimbabwe national cricket team, also known as the Chevrons, represents Zimbabwe in men's international cricket and is overseen by Zimbabwe Cricket (formerly known as the Zimbabwe Cricket Union). Zimbabwe has been a Full Member of the International Cricket Council (ICC) since 1992. As of March, 2022, Zimbabwe is currently ranked 10th in Tests, 13th in One Day Internationals (ODIs) and 11th in Twenty20 Internationals (T20Is) by the ICC. History Before Test status Zimbabwe – known as Rhodesia until 1980 – had a national cricket team before it achieved Test status. A summary of key moments: * Rhodesia was represented in the South African domestic cricket tournament, the Currie Cup, sporadically from 1904 to 1932, and then regularly from 1946 until independence. * Following independence, the country began to play more international cricket. * On 21 July 1981, Zimbabwe became an associate member of the ICC. * Zimbabwe participated in the 1983 Cricket World Cup, as well a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Estimation
Estimation (or estimating) is the process of finding an estimate or approximation, which is a value that is usable for some purpose even if input data may be incomplete, uncertain, or unstable. The value is nonetheless usable because it is derived from the best information available.C. Lon Enloe, Elizabeth Garnett, Jonathan Miles, ''Physical Science: What the Technology Professional Needs to Know'' (2000), p. 47. Typically, estimation involves "using the value of a statistic derived from a sample to estimate the value of a corresponding population parameter".Raymond A. Kent, "Estimation", ''Data Construction and Data Analysis for Survey Research'' (2001), p. 157. The sample provides information that can be projected, through various formal or informal processes, to determine a range most likely to describe the missing information. An estimate that turns out to be incorrect will be an overestimate if the estimate exceeds the actual result and an underestimate if the estimate fall ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Asymptotic Analysis
In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior. As an illustration, suppose that we are interested in the properties of a function as becomes very large. If , then as becomes very large, the term becomes insignificant compared to . The function is said to be "''asymptotically equivalent'' to , as ". This is often written symbolically as , which is read as " is asymptotic to ". An example of an important asymptotic result is the prime number theorem. Let denote the prime-counting function (which is not directly related to the constant pi), i.e. is the number of prime numbers that are less than or equal to . Then the theorem states that \pi(x)\sim\frac. Asymptotic analysis is commonly used in computer science as part of the analysis of algorithms and is often expressed there in terms of big O notation. Definition Formally, given functions and , we define a binary relation f(x) \sim g(x) \qu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Exponential Decay
A quantity is subject to exponential decay if it decreases at a rate proportional to its current value. Symbolically, this process can be expressed by the following differential equation, where is the quantity and (lambda) is a positive rate called the exponential decay constant, disintegration constant, rate constant, or transformation constant: :\frac = -\lambda N. The solution to this equation (see derivation below) is: :N(t) = N_0 e^, where is the quantity at time , is the initial quantity, that is, the quantity at time . Measuring rates of decay Mean lifetime If the decaying quantity, ''N''(''t''), is the number of discrete elements in a certain set, it is possible to compute the average length of time that an element remains in the set. This is called the mean lifetime (or simply the lifetime), where the exponential time constant, \tau, relates to the decay rate constant, λ, in the following way: :\tau = \frac. The mean lifetime can be looked at as a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Result In Cricket
The result in a game of cricket may be a "win" for one of the two teams playing, or a "tie". In the case of a limited overs game, the game can also end with "no result" if the game can't be finished on time (usually due to weather or bad light), and in other forms of cricket, a "draw" may be possible. Which of these results applies, and how the result is expressed, is governed by Law 16 of the laws of cricket. Win and loss The result of a match is a "win" when one side scores more runs than the opposing side and all the innings of the team that has fewer runs have been completed. The side scoring more runs has "won" the game, and the side scoring fewer has "lost". If the match ends without all the innings being completed, the result may be a draw or no result. Results where neither team wins Tie The result of a match is a "tie" when the scores are equal at the conclusion of play, but only if the side batting last has completed its innings (i.e. all innings are completed, o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Integer
An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface or blackboard bold \mathbb. The set of natural numbers \mathbb is a subset of \mathbb, which in turn is a subset of the set of all rational numbers \mathbb, itself a subset of the real numbers \mathbb. Like the natural numbers, \mathbb is countably infinite. An integer may be regarded as a real number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, , and are not. The integers form the smallest group and the smallest ring containing the natural numbers. In algebraic number theory, the integers are sometimes qualified as rational integers to distinguish them from the more general algebraic integers ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proportionality (mathematics)
In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant. Two sequences are inversely proportional if corresponding elements have a constant product, also called the coefficient of proportionality. This definition is commonly extended to related varying quantities, which are often called ''variables''. This meaning of ''variable'' is not the common meaning of the term in mathematics (see variable (mathematics)); these two different concepts share the same name for historical reasons. Two functions f(x) and g(x) are ''proportional'' if their ratio \frac is a constant function. If several pairs of variables share the same direct proportionality constant, the equation expressing the equality of these ratios is called a proportion, e.g., (for details see Ratio). Proportionality is closely rela ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
First-class Cricket
First-class cricket, along with List A cricket and Twenty20 cricket, is one of the highest-standard forms of cricket. A first-class match is one of three or more days' scheduled duration between two sides of eleven players each and is officially adjudged to be worthy of the status by virtue of the standard of the competing teams. Matches must allow for the teams to play two innings each, although in practice a team might play only one innings or none at all. The etymology of "first-class cricket" is unknown, but it was used loosely before it acquired official status in 1895, following a meeting of leading English clubs. At a meeting of the Imperial Cricket Conference (ICC) in 1947, it was formally defined on a global basis. A significant omission of the ICC ruling was any attempt to define first-class cricket retrospectively. That has left historians, and especially statisticians, with the problem of how to categorise earlier matches, especially those played in Great Britain be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Percentage
In mathematics, a percentage (from la, per centum, "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number (pure number); it has no unit of measurement. Examples For example, 45% (read as "forty-five per cent") is equal to the fraction , the ratio 45:55 (or 45:100 when comparing to the total rather than the other portion), or 0.45. Percentages are often used to express a proportionate part of a total. (Similarly, one can also express a number as a fraction of 1,000, using the term "per mille" or the symbol "".) Example 1 If 50% of the total number of students in the class are male, that means that 50 out of every 100 students are male. If there are 500 students, then 250 of them are male. Example 2 An increase of $0.15 on a price of $2.50 is an increase by a fraction of = 0.06. Expressed as a p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
(Duckworth Lewis) Method Of Adjusting Target Scores , an Irish pop group named af ...
Duckworth may refer to: * Duckworth (surname), people with the surname ''Duckworth'' * Duckworth (''DuckTales''), fictional butler from the television series ''DuckTales'' * Duckworth Books, a British publishing house * , a frigate * Duckworth, West Virginia, an unincorporated community, United States * an earlier name of Bluff, Queensland, Australia * "Duckworth" (song) (stylized ''DUCKWORTH.''), a 2017 song by Kendrick Lamar (named after his surname) * Duckwrth, a stage name of Jared Lee * Santiago J. Duckworth, was in the California State Assembly and a real estate developer See also * Duckworth-Lewis method, a statistical method for match calculations in cricket * The Duckworth Lewis Method The Duckworth Lewis Method are an Irish pop group formed by Neil Hannon of The Divine Comedy and Thomas Walsh of Pugwash. The Duckworth Lewis Method is also the title of the group's first album, which was released on 3 July 2009, a few days b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Innings
An innings is one of the divisions of a cricket match during which one team takes its turn to bat. Innings also means the period in which an individual player bats (acts as either striker or nonstriker). Innings, in cricket, and rounders, is both singular and plural; this contrasts with baseball and softball in which the singular is "inning". Origin The earliest known record of the term concerns a match in August 1730 at Blackheath, Kent between a Kent side and London Cricket Club. The London-based ''St. James Evening Post'' reported: "'Twas thought that the Kentish champions would have lost their honours by being beat at one innings if time had permitted". Usage in cricket An innings is one of the divisions of a match during which one team takes its turn to bat, and is said to be "in to bat". Innings is the subject of Law 13 in the ''Laws of Cricket''. * In a first-class match, there are up to four innings with each team due to bat twice (in practice, this is not always the c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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