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| {{redirect|Chebyshev|other uses|Chebyshev (disambiguation)}}
| | But this isn't entirely surprising, because a large waist (excess stomach fat) is tied closely to sort 2 diabetes, insulin resistance, a poor cholesterol profile and heart condition. Excess fat inside the stomach indicates excess fat surrounding the abdominal organs -- not wise news; this kind of fat is dangerous.<br><br>Prostate cancer frequently has no early symptoms or symptoms, nevertheless screening could detect the cancer inside its earliest stages when it is actually most curable. The key is to know your numbers. Screenings provide a baseline Prostate Specific Antigen (PSA) number, obtained through a easy blood test. Yearly screenings could detect fluctuations inside PSA degrees that, subsequently, could indicate prostate issues. This easy math has saved hundreds of lives, yet it really is additionally significant to remember a limited additional numbers - they will save the lifetime.<br><br>Number 7. Test and check your equipment before the wedding day. And by equipment, it virtually signifies everything. From the camera, to the speed lights, a laptop, the reflectors and of course all batteries, check plus test everything. Know which bulbs plus batteries have to be changed. There is so much space for error and wedding photographers dont want their reliable equipment to fail on W-day, that usually be a nightmare.<br><br>Added energy and torque has realistic uses, too. Stop-and-go driving whilst in the city can demand lesser amount of gear changes and less braking and accelerating, which translates into fuel savings. Higher mileage motorists may additionally see better fuel economy from more effective fuel burning at high travel speeds. If you should tow a holiday caravan or certain other thick load, a freshly tuned car has the additional torque it must keep up with traffic plus pull more safely.<br><br>These results are not specific to MacMasters. Dr David Heber, Ph.D., from UCLA's Centre for Human Nutrition reports that distribution of body fat is a more significant predictor of heart attack risk than the traditional measuring of Body Mass Index (BMI), that is a measurement based on the ratio between your height plus fat.<br><br>Another reason which the waist to height ratio is beneficial is because it follows the old and popular form theory that is mostly associated with female where some ladies are pears, apples, etc. The [http://safedietplansforwomen.com/waist-to-height-ratio waist to height ratio] will tell you what exactly is a natural body form . Waist height ratios are very consistent to total health compared to aspects like total weight. In fact the ratio is really consistent to ones health that it can even be chosen to tell details like if you are a university swimmer , a typical athlete and alternative degrees of athletic ability or wellness.<br><br>Your fat will be tied to any amount of health conditions or diseases. Underweight is just because unhealthy as obese. Your doctor can sit down with you plus discuss the right fat for a height, age, body size, physical activity, condition, etc. I'll bet we didn't understand there was more to fat than a "standard chart." Those only take into account 2 things- height plus pounds.<br><br>Whenever you want to obtain out more about the most perfect body, come browse my webpage where I provide diet and exercise approaches to let we to lose unwelcome fat plus obtain a lean look. Start getting back in awesome shape immediately! |
| {{Infobox scientist
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| |name = Pafnuty Chebyshev
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| |image = Chebyshev.jpg
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| |image_size = 240px
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| |caption = Pafnuty Lvovich Chebyshev
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| |birth_date = {{Birth date|1821|05|16}}
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| |birth_place = [[Borovsk]], [[province of Kaluga|Kaluga]], [[Russian Empire]]
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| |nationality = [[Russia]]n
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| |death_date = {{death date and age|1894|12|08|1821|05|16}}
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| |death_place = [[St. Petersburg]], [[Russian Empire]]
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| |field = [[Mathematician]]
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| |work_institution = [[St. Petersburg University]]
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| |alma_mater = [[Moscow University]]
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| |doctoral_advisor = [[Nikolai Brashman]]
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| |doctoral_students = [[Dmitry Grave]]<br />[[Aleksandr Korkin]]<br />[[Aleksandr Lyapunov]]<br />[[Andrey Markov]]<br />[[Vladimir Andreevich Markov]]<br />[[Konstantin Posse]]
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| |known_for = [[probability]], [[statistics]], [[mechanics]], and [[analytical geometry]]
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| |prizes = [[Demidov Prize]] (1849)
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| |footnotes =
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| }}
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| '''Pafnuty Lvovich Chebyshev''' ({{lang-rus|Пафну́тий Льво́вич Чебышёв|p=pɐf'n̪utʲɪ(j) 'lʲvovʲɪt͡ɕ t͡ɕɪbɨ'ʂof}}) ({{OldStyleDate|May 16|1821|May 4}} – {{OldStyleDate|December 8|1894|November 26}})<ref>[http://www.britannica.com/eb/article-9022729/Pafnuty-Lvovich-Chebyshev Pafnuty Lvovich Chebyshev – Britannica Online Encyclopedia]</ref> was a [[Russians|Russian]] [[mathematician]]. His name can be alternatively [[Romanization of Russian|transliterated]] as ''Chebychev'', ''Chebysheff'', ''Chebyshov'', ''Tchebychev'' or ''Tchebycheff'', or ''Tschebyschev'' or ''Tschebyscheff'' (the latter two pairs are French and German transcriptions).
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| == Biography ==
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| One of nine children, Chebyshev was born in the central [[Russia]]n village of Okatovo near [[Borovsk]], to Agrafena Ivanova Pozniakova and Lev Pavlovich Chebyshev. His father had fought as an officer against [[Napoleon Bonaparte]]'s invading army.
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| Chebyshev was originally home schooled by his mother and his cousin, Avdotia Kvintillianova Soukhareva. He learned [[French language|French]] early in life, which later helped him communicate with other mathematicians. A stunted leg prevented him from playing with other children, leading him to concentrate on his studies instead.
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| Chebyshev studied at the college level at [[Moscow University]], where he earned his [[bachelor's degree]] in 1841. At Moscow University, Chebyshev was a graduate student of [[Nikolai Brashman]].
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| After Chebyshev became a [[professor]] of mathematics in Moscow himself, his two most illustrious graduate students were [[Andrei Andreyevich Markov]] (the elder) and [[Aleksandr Lyapunov]].
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| Later he moved to St. Petersburg, where he founded one of the most important schools of mathematics in Russia, and there is today a research institute in mathematics called the Chebyshev Laboratory in that city.
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| == Mathematical contributions ==
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| Chebyshev is known for his work in the fields of [[probability]], [[statistics]], [[mechanics]], and [[number theory]]. The [[Chebyshev inequality]] states that if <math>X</math> is a [[random variable]] with [[standard deviation]] '''σ''', then the probability that the outcome of <math>X</math> is no less than <math>a\sigma</math> away from its mean is no more than <math>1/a^2</math>:
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| : <math>\Pr(|X - {\mathbf E}(X)| \ge a\,\sigma )\le \frac {1}{a^2}.</math>
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| The Chebyshev inequality is used to prove the [[Law of large numbers#Weak law|Weak Law of Large Numbers]].
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| The [[Bertrand's postulate|Bertrand–Chebyshev theorem]] (1845|1850) states that for any <math>n > 1</math>, there exists a [[prime numbers|prime number]] <math>p</math> such that <math>n < p < 2n</math>. This is a consequence of the Chebyshev inequalities for the number <math>\pi(n)</math> of [[prime numbers]] less than <math>n</math>, which state that <math>\pi(n)</math> is of the order of <math>n/\log(n)</math>. A more precise form is given by the celebrated [[prime number theorem]]: the ''quotient'' of the two expressions approaches 1.0 as <math>n</math> tends to infinity.
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| Chebyshev is also known for the [[Chebyshev polynomial]]s and the [[Chebyshev bias]] – the difference between the number of primes that are 3 (modulo 4) and 1 (modulo 4).
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| == Legacy ==
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| [[Image:Stamp of USSR 1047.jpg|thumb|right|Pafnuty Chebyshev on a stamp of the [[Soviet Union]] in 1946.]]
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| Chebyshev is considered to be a founding father of [[Russia]]n mathematics. Among his well-known students were the prolific mathematicians [[Dmitry Grave]], [[Aleksandr Korkin]], [[Aleksandr Lyapunov]], and [[Andrey Markov|Andrei Markov]]. According to the [[Mathematics Genealogy Project]], Chebyshev has 7,483 mathematical "descendants" as of 2010.<ref>{{MathGenealogy|12542}}</ref>
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| The lunar crater [[Chebyshev (crater)|Chebyshev]] and the [[asteroid]] [[2010 Chebyshev]] were named in his honour. | |
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| == Publications ==
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| * {{Citation | last1=Tchebychef | first1=P. L. | editor1-last=Markov | editor1-first=Andreĭ Andreevich | editor2-last=Sonin | editor2-first=N. | title=Oeuvres | url=http://www.archive.org/stream/oeuvresdepltche01chebrich | publisher=Commissionaires de l'Académie impériale des sciences | location=New York | mr=0147353 |id=Reprinted by Chelsea 1962 | year=1899 | volume=I}}
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| * {{Citation | last1=Tchebychef | first1=P. L. | editor1-last=Markov | editor1-first=Andreĭ Andreevich | editor2-last=Sonin | editor2-first=N. | title=Oeuvres | url=http://books.google.com/books?id=1mBtAAAAMAAJ | publisher=Commissionaires de l'Académie impériale des sciences | location=New York | mr=0147353 |id=Reprinted by Chelsea 1962 | year=1907 | volume=II}}
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| * {{Citation | last1=Butzer | first1 = | title=P. L. Chebyshev (1821–1894): A Guide to his Life and Work | doi=10.1006/jath.1998.3289}}
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| == See also ==
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| * [[Chebyshev cube root]]
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| * [[Chebyshev distance]]
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| * [[Chebyshev filter]], a family of [[filter (signal processing)|analog filter]]s in [[electronics]] and [[signal processing]]
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| * [[Chebyshev function]] in number theory
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| * [[Chebyshev polynomials]] and the "Chebyshev form"
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| * [[Chebyshev's inequality]] in probability and statistics
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| * [[Chebyshev's sum inequality]]
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| * [[Chebyshev equation]]
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| * [[Chebyshev linkage]], a straight line generating [[linkage (mechanical)|linkages]]
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| * [[Roberts–Chebyshev theorem]] on the generation of cognate coupler-curves.
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| * [[Chebyshev–Markov–Stieltjes inequalities]]
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| * [[Chebychev–Grübler–Kutzbach criterion]] for the mobility analysis of [[linkage (mechanical)|linkages]]
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| * [[Chebyshev nodes]]
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| * [[Chebyshev rational functions]]
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| * [[Chebyshev's bias]]
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| * [[Discrete Chebyshev polynomials]]
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| * [[Chebyshev integral]]
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| == References ==
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| {{Reflist}}
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| == External links ==
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| * [http://tcheb.ru Mechanisms by Chebyshev] – short 3d films – embodiment of Tchebishev's inventions
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| * {{MathGenealogy |id=12542}}
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| * {{MacTutor Biography|id=Chebyshev}}
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| * {{Worldcat id|lccn-n85-344734}}
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| * [http://www.bashedu.ru/konkurs/tarhov/russian/chebish.htm Biography], [http://www.mathsoc.spb.ru/pantheon/chebyshe/b-e.html another one], and [http://www.univer.omsk.su/omsk/Edu/Math/chchebishev.htm yet another] (all in [[Russian language|Russian]]).
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| * [http://www.archive.org/details/oeuvresdepltche02chebrich ''Œuvres de P.L. Tchebychef''] (in [[French language|French]])
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| {{Persondata
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| | NAME = Chebyshev, Pafnuty
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| | ALTERNATIVE NAMES = Tchebysheff, Pafnufty
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| | SHORT DESCRIPTION = Russian mathematician
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| | DATE OF BIRTH = May 26, 1821 (O.S. May 14, 1821)
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| | PLACE OF BIRTH = [[Borovsk]], [[Province of Kaluga]], [[Russia]]
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| | DATE OF DEATH = December 8, 1894 (O.S. November 26, 1894)
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| | PLACE OF DEATH = [[St. Petersburg, Russia]]
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| }}
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| {{DEFAULTSORT:Chebyshev, Pafnuty Lvovich}}
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| [[Category:1821 births]]
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| [[Category:1894 deaths]]
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| [[Category:19th-century Russian mathematicians]]
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| [[Category:Probability theorists]]
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| [[Category:Imperial Russian inventors]]
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| [[Category:Number theorists]]
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| [[Category:Numerical analysts]]
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| [[Category:Ballistics experts]]
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| [[Category:Imperial Russian statisticians]]
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| [[Category:Moscow State University alumni]]
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| [[Category:Full Members of the St Petersburg Academy of Sciences]]
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| [[Category:Members of the French Academy of Sciences]]
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| [[Category:Demidov Prize laureates]]
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| [[Category:Foreign Members of the Royal Society]]
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| [[Category:People from Kaluga Oblast]]
| |
But this isn't entirely surprising, because a large waist (excess stomach fat) is tied closely to sort 2 diabetes, insulin resistance, a poor cholesterol profile and heart condition. Excess fat inside the stomach indicates excess fat surrounding the abdominal organs -- not wise news; this kind of fat is dangerous.
Prostate cancer frequently has no early symptoms or symptoms, nevertheless screening could detect the cancer inside its earliest stages when it is actually most curable. The key is to know your numbers. Screenings provide a baseline Prostate Specific Antigen (PSA) number, obtained through a easy blood test. Yearly screenings could detect fluctuations inside PSA degrees that, subsequently, could indicate prostate issues. This easy math has saved hundreds of lives, yet it really is additionally significant to remember a limited additional numbers - they will save the lifetime.
Number 7. Test and check your equipment before the wedding day. And by equipment, it virtually signifies everything. From the camera, to the speed lights, a laptop, the reflectors and of course all batteries, check plus test everything. Know which bulbs plus batteries have to be changed. There is so much space for error and wedding photographers dont want their reliable equipment to fail on W-day, that usually be a nightmare.
Added energy and torque has realistic uses, too. Stop-and-go driving whilst in the city can demand lesser amount of gear changes and less braking and accelerating, which translates into fuel savings. Higher mileage motorists may additionally see better fuel economy from more effective fuel burning at high travel speeds. If you should tow a holiday caravan or certain other thick load, a freshly tuned car has the additional torque it must keep up with traffic plus pull more safely.
These results are not specific to MacMasters. Dr David Heber, Ph.D., from UCLA's Centre for Human Nutrition reports that distribution of body fat is a more significant predictor of heart attack risk than the traditional measuring of Body Mass Index (BMI), that is a measurement based on the ratio between your height plus fat.
Another reason which the waist to height ratio is beneficial is because it follows the old and popular form theory that is mostly associated with female where some ladies are pears, apples, etc. The waist to height ratio will tell you what exactly is a natural body form . Waist height ratios are very consistent to total health compared to aspects like total weight. In fact the ratio is really consistent to ones health that it can even be chosen to tell details like if you are a university swimmer , a typical athlete and alternative degrees of athletic ability or wellness.
Your fat will be tied to any amount of health conditions or diseases. Underweight is just because unhealthy as obese. Your doctor can sit down with you plus discuss the right fat for a height, age, body size, physical activity, condition, etc. I'll bet we didn't understand there was more to fat than a "standard chart." Those only take into account 2 things- height plus pounds.
Whenever you want to obtain out more about the most perfect body, come browse my webpage where I provide diet and exercise approaches to let we to lose unwelcome fat plus obtain a lean look. Start getting back in awesome shape immediately!