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Duckworth–Lewis–Stern Method
The Duckworth–Lewis–Stern method (DLS method or DLS) previously known as the Duckworth–Lewis method (D/L) 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, and was formerly known as the Duckworth–Lewis method (D/L). It was introduced in 1997, and adopted officially by the International Cricket Council (ICC) in 1999. After the retirement of both Duckworth and Lewis, the Australian statistician Steven Stern became the custodian of the method, which was renamed to its current title in November 2014. In 2014, he refined the model to better fit modern scoring trends, especially in T20 cricket, resulting in the updated Duckworth-Lewis-Stern method. This refined method remains the standard for handling rain-affe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Oval Test Match - Geograph
''The'' is a grammatical Article (grammar), article in English language, English, denoting nouns that are already or about to be mentioned, under discussion, implied or otherwise presumed familiar to listeners, readers, or speakers. It is the definite article in English. ''The'' is the Most common words in English, 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 nouns 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 con ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
One-day Cricket
Limited overs cricket, also known as white ball cricket, is a version of the sport of cricket in which a match is generally completed within one day. There are a number of formats, including List A cricket (8-hour games), Twenty20 cricket (3-hour games), and 100-ball cricket (2.5 hours). The name reflects the rule that in the match each team bowls a set maximum number of Over (cricket), overs (sets of 6 legal Ball (cricket), balls), usually between 20 and 50, although T10 cricket, shorter and longer forms of limited overs cricket have been played. The concept contrasts with Test cricket, Test and first-class cricket, first-class matches, which can take up to five days to complete. One-day cricket is popular with spectators as it can encourage aggressive, risky, entertaining batting (cricket), batting, often results in cliffhanger endings, and ensures that a spectator can watch an entire match without committing to five days of continuous attendance. Structure Each team bats ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
English Cricket Team In India In 2008–09
The England cricket team toured India from 9 November 2008 to 23 December 2008 and played 2 Test matches and 5 One Day Internationals (ODIs). Following the attacks in Mumbai on 26 November, the final 2 ODIs against India were cancelled, India taking the series 5–0. As a result of the Mumbai Attacks the Test matches were moved from Ahmedabad and Mumbai to Chennai and Mohali. England flew home initially and then attended a training camp in Abu Dhabi. On 7 December the England team decided to participate in the 2 match Test series and arrived in Chennai the next day. At Chennai, Andrew Strauss hit 123 and 108, strokeful for the former England skipper. Sachin Tendulkar slammed 103* ,with Yuvraj Singh at 85*,chased the record target of 387,guiding India to a victory by 6 wickets. ODI series India won the series 5–0. The last 2 scheduled ODIs were cancelled, following the attacks in Mumbai. The player of the series was Yuvraj Singh, who hit 2 centuries, on his way to 325 r ... [...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 f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Asymptotic Analysis
In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing Limit (mathematics), 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( ... [...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 Lambda (; uppercase , lowercase ; , ''lám(b)da'') is the eleventh letter of the Greek alphabet, representing the voiced alveolar lateral approximant . In the system of Greek numerals, lambda has a value of 30. Lambda is derived from the Phoen ...) is a positive rate called the exponential decay constant, disintegration constant, rate constant, or transformation constant: :\frac = -\lambda N(t). The solution to this equation (see #Solution_of_the_differential_equation, 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 (mathematics), se ... [...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 (0), a positive natural number (1, 2, 3, ...), or the negation of a positive natural number (−1, −2, −3, ...). The negations or additive inverses of the positive natural numbers are referred to as negative integers. The set (mathematics), set of all integers is often denoted by the boldface or blackboard bold 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 set of natural numbers, the set of integers \mathbb is Countable set, countably infinite. An integer may be regarded as a real number that can be written without a fraction, fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, , 5/4, and Square root of 2, are not. The integers form the smallest Group (mathematics), group and the smallest ring (mathematics), ring containing the natural numbers. In algebraic number theory, the ... [...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. The ratio is called ''coefficient of proportionality'' (or ''proportionality constant'') and its reciprocal is known as ''constant of normalization'' (or ''normalizing constant''). Two sequences are inversely proportional if corresponding elements have a constant product. 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 related to ''linearity''. Direct proportionality Given an independent variable ''x'' and a dependent variable ''y'', ''y'' is directly proportional to ''x'' if there is a positive constant ''k'' such that: : y = kx The relation is oft ... [...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 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 the term was used loosely before it acquired official status in 1895, following a meeting of leading English clubs. At a meeting of the International Cricket Council, 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 statisticians with the problem of how to categorise earlier matches, especially those played in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Percentage
In mathematics, a percentage () is a number or ratio expressed as a fraction (mathematics), fraction of 100. It is often Denotation, denoted using the ''percent sign'' (%), although the abbreviations ''pct.'', ''pct'', and sometimes ''pc'' are also used. A percentage is a dimensionless quantity, dimensionless number (pure number), primarily used for expressing proportions, but percent is nonetheless a unit of measurement in its orthography and usage. Examples For example, 45% (read as "forty-five percent") is equal to the fraction , 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 fr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
