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380:) . Unfortunately earliest digitizet text I found dates 1962. Interestingly, I saw one early article (but not so early) which says that "foreign authors use this term more frequently than the Soviet ones". So I guess we beter start looking for German and French refs, with all transliterstion horrorrss; Tschebyscheff and the likes.
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When was this L-infinity distance first called
Chebyshev distance? I don't think this usage is common at all. Was this coined in the last 20 years or so? It evidently was not listed as such in the Cantrell book cited as a reference from 2000. Chebyshev was an excellent mathematician no doubt, but I'm
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artickle fails to mention the historical fact tnat T_n() polynomials originated from the problem
Chebyshev was dealing with originally, namely, approximation of function wuth polynomials, the refined version being to find the nth degree polynomial with least "maximal deviation from zero"
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its a way to calculate distance. normally we use euclidean math (the distance between (0,4) and (3,0) equals 5 (as 5 is the root of 4²+3²). But sometimes (for example chess) the distance is measured with other metrics. On a chess board the distance between (0,4) and (3,0) is 3.
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319:, which, of course he did not call so. Unfortunately mathematicians are scarse in wikipedia, so this subject is in a sorry state. Still, an interesting quest remains, to firure out who (re)named it or at least to find earliest usages.-
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A good question for a wikipedian, but to doubt that
Chebyshev had anything to do with distances is ignorance and scientific laziness, unbecoming of wikipedians. He did invent his distance, more precisely he invented
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a circle is defined by a collection of points who are on a same distance from a center point. If you look at the chess map, and take all the squares with distance 2 from the king, you get a square figure.
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This has 5 steps, the largest component of the point (2,5)=(3,6)-(1,1). Strategy: always run diagonal towards the other point. Then stay on the same row or column. Above: 3 steps up.
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is for function spaces, not for finite-length sequences, which is what this article is about. Related concepts, but not the same. Perhaps this should be explained more clearly.
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That are the standard terms used in math. Chebychef-norm should be mentioned of course. But books such as functional analysis books that seriously deal with such norms use
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Tschebyschev himself used the term " максимальное уклонение" (literally, maximal deviation), which term is used by russians in tjis context until now. By the way,
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John, Fritz (1952), "On integration of parabolic equations by difference methods. I. Linear and quasi-linear equations for the infinite interval",
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I wholeheartedly agree. Calling what every high-schooler knows as the infinity norm the "Chebyshev norm" is just plain obfuscation.
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The oldest reference using this name (under either "Chebyshev distance" or "Tchebychev distance") that I can find online is
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https://docs.scipy.org/doc/scipy/reference/generated/scipy.spatial.distance.chebyshev.html#scipy.spatial.distance.chebyshev
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redirects here, thus compLeteLy missing the prevailing usage of the term in approximation theorry. Would you support it? -
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imply the x-axis and y-axis components of the same vector. Two different vectors should never be given the symbols
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This is great, I've used this for years but didn't know there was a name for it. Can someone add a pronunciation?--
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671:{\displaystyle \lim _{k\to \infty }{\bigg (}\sum _{i=1}^{n}\left|p_{i}-q_{i}\right|^{k}{\bigg )}^{1/k}.}
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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For what it's worth Scipy (a very popular scientific computing library) uses this name;
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as names for two different vectors is VERY confusing. Actually, it's just plain wrong.
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Last edited at 08:17, 21 May 2007 (UTC). Substituted at 19:51, 1 May 2016 (UTC)
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http://accord-framework.net/docs/html/M_Accord_Math_Distance_Chessboard.htm
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http://accord-framework.net/docs/html/M_Accord_Math_Distance_Chebyshev.htm
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https://www.amazon.com/Functional-Analysis-Walter-Rudin/dp/0070542368
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This ref is about the distance betweem functions, ie basically about
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I am testing this and
Chessboard distance and get different results.
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358:. But there may be older in the Russian-language literature. —
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not sure he had any particular impact on the L-infinity norm.
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in the banner shell. Please resolve this conflict if possible.
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This article has been given a rating which conflicts with the
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P.S. Browsing around, I started favoring Jitse Niesen's 2007
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Fixed; in less than 8 years.I guess nobody could find a
376:. russian refs prefer the term "чебышевская метрика" (
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I don't think so this is equal to
Chessboard distance
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1017:10:52, 15 November 2020 (UTC)
541:22:20, 6 September 2009 (UTC)
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217:and see a list of open tasks.
109:and see a list of open tasks.
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1073:{\displaystyle L^{\infty }}
1042:{\displaystyle L^{\infty }}
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483:03:05, 3 January 2007 (UTC)
450:16:25, 26 August 2020 (UTC)
115:Knowledge:WikiProject Chess
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342:: 155–211,
220:Mathematics
211:mathematics
164:Mathematics
30:Start-class
1182:Categories
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302:Jamgoodman
280:Chebyshev?
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943:unsigned
465:Untitled
355:0047885
261:on the
167:B‑class
139:on the
805:Using
478:Ioshus
471:JDitto
442:Phissy
131:Bottom
36:scale.
796:: -->
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324:: -->
112:Chess
103:Chess
59:Chess
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
