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...on]] that does not describe it exactly, but is close enough to be used. An approximation may be used either when the exact piece of information is not known, or whe ...nted to [[add]] 2.0002 and 2.0003, you can add 2 and 2, and it would be an approximation. ...

...[[partial differential equation]]s. Such equations are usually solved by [[approximation]]. An exact solution can be obtained in special cases, where certain assump == Mathematical Interpretation == ...

...dies different [[algorithm]]s to get [[approximation]]s for problems of [[mathematical analysis]]. Approximations are used for the following reasons: ...tradition of practical mathematical calculations. Much like the Babylonian approximation of <math>\sqrt{2}</math>, modern numerical analysis does not seek exact ans ...

The mathematical operation of finding a root is the opposite operation of [[exponentiation]] ...at is <math>A</math> squared, or <math>A</math> times <math>A</math>) is [[Approximation|approximately]] [[Equality (mathematics)|equal]] to <math>N</math> ''(but h ...

===Mathematical definition=== In [[differential geometry]], there exists a certain type of mathematical [[Plane (mathematics)|plane]] called a '''hyperbolic plane'''. In it, if yo ...

'''Pi''' (or '''π''') is a [[mathematical constant]]. It is the [[ratio]] of the distance around a '''[[circle]]''' t == Approximation == ...

'''Probability Theory''' <br> & '''Mathematical Statistics'''</font> This is the webpage for the ''Probability Theory and Mathematical Statistics'' (概率论与数理统计) class of Spring 2024. Students who take this class ...

'''Probability Theory''' <br> & '''Mathematical Statistics'''</font> This is the webpage for the ''Probability Theory and Mathematical Statistics'' (概率论与数理统计) class of Spring 2023. Students who take this class ...

...eturned by the algorithm compared to the optimal solution by analyzing its approximation ratio. This shows that the ''GreedyCover'' algorithm has approximation ratio <math>H_n\approx\ln n</math>. ...

...eturned by the algorithm compared to the optimal solution by analyzing its approximation ratio. This shows that the ''GreedyCover'' algorithm has approximation ratio <math>H_n\approx\ln n</math>. ...

...s probably the first approximation algorithm in modern dates with provable approximation ratio. Interestingly, it was even earlier than the discovery of the notion It is well known that the ''List'' algorithm has approximation ratio <math>\left(2-\frac{1}{m}\right)</math>. ...

...s probably the first approximation algorithm in modern dates with provable approximation ratio. Interestingly, it was even earlier than the discovery of the notion It is well known that the ''List'' algorithm has approximation ratio <math>\left(2-\frac{1}{m}\right)</math>. ...

...eturned by the algorithm compared to the optimal solution by analyzing its approximation ratio. This shows that the ''GreedyCover'' algorithm has approximation ratio <math>H_n\approx\ln n</math>. ...

...eturned by the algorithm compared to the optimal solution by analyzing its approximation ratio. This shows that the ''GreedyCover'' algorithm has approximation ratio <math>H_n\approx\ln n</math>. ...

...eturned by the algorithm compared to the optimal solution by analyzing its approximation ratio. This shows that the ''GreedyCover'' algorithm has approximation ratio <math>H_n\approx\ln n</math>. ...

...y: <math>\log(a) - \log(b) = \log(c) - \log(d)</math>. At first, base [[e (mathematical constant)|e]] was used (even though the number had not been named yet). [[H Logarithms to base ''e'' are called natural logarithms. The number [[e (mathematical constant)|e]] is nearly 2.71828, and is also called the Eulerian constant a ...

...ician and mathematician Diaconis in 1988 found evidence showing that this mathematical model reasonably approximate the riffle shuffling acted by human. ...hm is still as large as <math>\log (n!)=O(n\ln n)</math> due to Stirling's approximation. Thus the riffle shuffle is mixing extremely fast. ...

...f>Linear algebra, as discussed in this article, is a very well-established mathematical discipline for which there are many sources. Almost all of the material in ...linear system (see [[linearization]]), a helpful technique when making a [[mathematical model]], [[computer model]], or [[computer]] [[simulation]] of a relatively ...

...ly-linear time algorithm for producing elimination orderings with provable approximation guarantees. ...ve datasets. In this paper, we propose a novel method based on the Nystrom approximation. We reinterpret an extrapolation formula from a mixture of weighted linear ...

[http://en.wikipedia.org/wiki/Boolean_circuit Boolean circuit] is a mathematical model of computation. === Dirichlet's approximation === ...