Chebzie (German: Morgenroth) is a district in the east of Ruda Śląska, Silesian Voivodeship, southern Poland. It has an area of 1.7 km2 and was inhabited by 1,101 people.

Chebyshev's sum inequality

The Chebyshev's Lambda Mechanism is a four-bar mechanism that converts rotational motion to approximate straight-line motion with approximate constant velocity.

Chechen American

Chebulinsky District (Russian: Чебули́нский райо́н) is an administrative district (raion), one of the nineteen in Kemerovo Oblast, Russia. As a municipal division, it is incorporated as Chebulinsky Municipal District. It is located in the north of the oblast. The area of the district is 3,780 square kilometers (1,460 sq mi). Its administrative center is the urban locality (an urban-type settlement) of Verkh-Chebula. Population: 16,348 (2010 Census); 17,971 (2002 Census); 17,723 (1989 Census). The population of Verkh-Chebula accounts for 31.0% of the district's total population.

Chebyshev spacing

చేబ్రోలు

yes

Vistarla Sugunamma

In numerical analysis, Chebyshev nodes are specific real algebraic numbers, namely the roots of the Chebyshev polynomials of the first kind. They are often used as nodes in polynomial interpolation because the resulting interpolation polynomial minimizes the effect of Runge's phenomenon.

The Chebucto (ferry), also referred to as the Chebucto I, was a passenger ferry used in Halifax–Dartmouth Ferry Service in Halifax Harbor, connecting Halifax and Dartmouth from 1865 until 1892.

Chebyshev's function

Chechen-Slav ethnic clashes (1958–65)

auto

January 15

Languages

Chebulic acid
Chebulic acid, according to Klika, 2004.
Chebulic acid according to Klika, 2004.png

Chechakhata

changed

Checco Zalone (Italian pronunciation: [ˌkekko dzaˈloːne]), art name of Luca Pasquale Medici (born 3 June 1977), is an Italian actor, musician, singer-songwriter, imitator, comedian, and screenwriter.

the Soviet Union

Location of Chebulinsky District .svg

Chebyshev roots

Dinosauria

Train station

The Chebyshev linkage is a mechanical linkage that converts rotational motion to approximate straight-line motion.It was invented by the nineteenth-century mathematician Pafnuty Chebyshev, who studied theoretical problems in kinematic mechanisms. One of the problems was the construction of a linkage that converts a rotary motion into an approximate straight-line motion.

Metric

Chebyshev rational functions

Checco Rissone (7 July 1909 – 26 September 1985) was an Italian film, stage and television actor.

inline,title

Chebyshev Inequality

Chebseh

Cheche Lázaro (born Cecilia Aldaba-Lim in 1945 in Los Angeles, California), is an acclaimed Filipino broadcast journalist and the founding President of Probe Productions Inc. as well as an Editor-at-Large of online news website Rappler.

Chebyshev filters are analog or digital filters having a steeper roll-off and more passband ripple (type I) or stopband ripple (type II) than Butterworth filters. Chebyshev filters have the property that they minimize the error between the idealized and the actual filter characteristic over the range of the filter, but with ripples in the passband.

Chebulyl

Chechen-American

Chebulic acid is a phenolic compound isolated from the ripe fruits of Terminalia chebula.This compound possesses an isomer, neochebulic acid.Chebulic acid is a component of transformed ellagitannins such as chebulagic acid or chebulinic acid.

Chebyshev linkage

Chechak Lu

In numerical linear algebra, the Chebyshev iteration is an iterative method for determining the solutions of a system of linear equations. The method is named after Russian mathematician Pafnuty Chebyshev.Chebyshev iteration avoids the computation of inner products as is necessary for the other nonstationary methods. For some distributed-memory architectures these inner products are a bottleneck with respect to efficiency. The price one pays for avoiding inner products is that the method requires enough knowledge about spectrum of the coefficient matrix A, that is an upper estimate for the upper eigenvalue and lower estimate for the lower eigenvalue. There are modifications of the method for nonsymmetric matrices A.

Francesco Rissone

Chebyshev rational function

Chebrolu

Chebulinic acid.PNG

చేఁబ్రోలు మండలం

Sarpanch

Vidhan Sabha constituency

village

right

Chebulinsky Raion

Chebucto (ferry)

Official

Religions

S.Jagan Mohan Rao

Chebychev–Grubler–Kutzbach criterion

Checco Durante

Checea

Chebyshev theorem

Chebyshev's rule

Location of Chechen Island.

Чечелівський

Wong

Map of the urban districts of Dnipropetrovsk.

Chebyshev's Inequality

Checa or Jidcay is a town and parish in Cuenca Canton, Azuay Province, Ecuador. The parish covers an area of 64.5 km² and according to the 2001 Ecuadorian census it had a population total of 2,698.

Soviet Union

Чечено-Ингушская AО

Chebyshev series

Chebulinskii Raion

November 2012

Mangoldt summatory function

Chebu-dong is a dong, neighbourhood of Jongno-gu in Seoul, South Korea. It is a legal dong (법정동 法定洞) administered under its administrative dong (행정동 行政洞), Sajik-dong.Chebu-dong includes a significant part of the recently protected hanok cluster of Seochon area.

Rural territories

Chebrolu is a village in West Godavari district of the Indian state of Andhra Pradesh. It is located in Unguturu mandal of Eluru revenue division.

Chechen-Ingush Autonomous Oblast

Chebyshev pseudospectral method

Chebyshev polynomials of the first kind

ChebyshevPolynomialoftheFirstKind

The Chebucto Community Net (CCN) is a Canadian FreeNet operating in Nova Scotia's Halifax Regional Municipality (HRM). It is registered as a non-profit society under Nova Scotia's Registry of Joint Stocks using the name Chebucto Community Net Society.

Chebyshev's theorem (disambiguation)

Nova Scotia

Location of the district Checca in Canas.svg

bottom

체부동

In mathematics, the Chebyshev integral, named after Pafnuty Chebyshev, is ∫ x p ( 1 − x ) q d x = B ( x ; 1 + p , 1 + q ) , {\displaystyle \int x^{p}(1-x)^{q}\,dx=B(x;1+p,1+q),} where B ( x ; a , b ) {\displaystyle B(x;a,b)} is an incomplete beta function.

Chechen Autonomous Oblast

Location of Chéché in Guinea-Bissau

Checchinato

articles should be reasonably self contained, more explanation needed

ছেচখাটা

Flag of the Russian SFSR.svg

Chebyshev sum inequality

Checa

Chebulic acid, according to Lee, 2010.

Chebychov

Chebyshev Polynomial of the First Kind

Cheburashka (Russian: Чебура́шка; IPA: [tɕɪbʊˈraʂkə]), also known as Topple in earlier English translations, is a character in children's literature, from a 1966 story by Soviet writer Eduard Uspensky. He is also the protagonist (voiced by Klara Rumyanova) of the stop-motion animated films by Roman Kachanov (Soyuzmultfilm studio), the first film of which was made in 1969.

In mathematics, the Chebyshev function is either of two related functions.

Checea (Croatian: Keča; German: Ketscha; Hungarian: Nagykőcse; Serbian: Кеча) is a commune in Timiș County, Romania. It is composed of a single village, Checea, part of Cenei Commune until 2004, when it was split off.

Chebsey is a small village in Staffordshire 2.5 miles southeast of Eccleshall on a confluence of Eccleshall water and the River Sow some 5 miles northwest of Stafford. The population of the civil parish at the 2011 census was 566. It comprises a number of houses and cottages and a village church dedicated to All Saints.

Cheburashka Goes to School

Chechakhata is a census town under Alipurduar police station of Alipurduar subdivision in Alipurduar district in the state of West Bengal, India.

Chebrolu mandal

Chebyshev metric

Chebulinic acid is an ellagitannin found in the seeds of Euphoria longana, in the fruits of Terminalia chebula or in the leaves of T. macroptera.

Chebzie

Ivan Zahora

Chebulinskaya

Chebulinsky District

Chebyshev-Markov-Stieltjes

Actor

January 15, 1934

frameless

Chebseh-ye Kuchek (Persian: چبسه كوچك‎‎, also Romanized as Chebseh-ye Kūchek; also known as Chepseh-ye Kūchek and Chopseh-ye Kūchek) is a village in Elhayi Rural District, in the Central District of Ahvaz County, Khuzestan Province, Iran. At the 2006 census, its population was 306, in 58 families.

Chebyshev (crater)

Ch'epu tong

Let's assume that is a polynomial of degree with leading coefficient 1 with maximal absolute value on the interval less than .

Define

:

Because at extreme points of we have

:

From the intermediate value theorem, has at least roots. However, this is impossible, as is a polynomial of degree , so the fundamental theorem of algebra implies it has at most roots.

Checca Sauce

Chebyshev–Markov–Stieltjes

India Andhra Pradesh#India

Suetin

Illustration of the head

Chech (Bulgarian: Чеч) or Chechko (Bulgarian: Чечко) is a geographical and historical region of the Balkan peninsula in southeastern Europe in modern-day Bulgaria and Greece. It consists of about 60 settlements and was traditionally mostly Pomak, with an Orthodox Bulgarian minority.The Chech region is situated on the border of the much larger regions of Macedonia and Thrace. It covers the western Rhodope Mountains and the northern slopes of Falakro (Bulgarian: Боздаг, Bozdag).

Chebrol railway station

Chechehet language

Mandal map of Guntur district showing

چبسه بزرگ

The Cheche Disaster (Portuguese: Desastre do Cheche) was an incident during the Portuguese Colonial War in what is now Guinea-Bissau in which almost fifty Portuguese soldiers died on 6 February 1969 while crossing the Corubal River.

The Chebucto Community Net (CCN) is a Canadian FreeNet operating in Nova Scotia's Halifax Regional Municipality (HRM). It is registered as a non-profit society under Nova Scotia's Registry of Joint Stocks using the name Chebucto Community Net Society. The name "Chebucto" comes from the local Mi'kmaq word for Halifax Harbour meaning "big water".Established in June 1994 in what was then the Dalhousie University Department of Mathematics, Statistics and Computing Science, Chebucto Community Net is the oldest Internet Service Provider operating in the province of Nova Scotia and one of the first community nets in Canada. The Chebucto Suite or CSuite operating environment for free-nets was developed by Chebucto Community Net and used by many Canadian free-nets.Chebucto Community Net was originally known as the Metro Community Access Network Society. CCN is a registered Canadian charity, and is a volunteer organization with representatives from across the municipality. CCN provides people in the HRM with Internet "tools and services for sharing the broadest range of information, experience, ideas, and wisdom."Originally offering only a text-based terminal access to Internet and email, Chebucto Community Net has offered full Point-to-Point Protocol Internet access since 1998. CCN provides Internet services for individuals and non-profit groups, including dial-up, web hosting, email and mailing lists.In June 2013, Chebucto Community Net's Manors Project began offering Chebucto Wireless Wifi access to Joseph Howe Manor and H.P. MacKeen Manor, public-owned low-income seniors housing. This is the first non-profit public-run highspeed home Internet access in Atlantic Canada.CCN continues to be affiliated with Dalhousie University in Halifax with its registered office located in the Chase Building, home of Dalhousie University's Department of Mathematics and Statistics.CCN is a member of ACORN-NS, the Atlantic Canada Organization of Research Networks and the Halifax Regional Community Access Program.

Chebrolu mandal is one of the 57 mandals in Guntur district of the Indian state of Andhra Pradesh. It is under the administration of Tenali revenue division and the headquarters are located at Chebrolu. The mandal is bounded by Guntur, Pedakakani, Tenali, Vatticherukuru, Tsundur and Ponnur mandals.

Chebuk

Chechen-Estonia relations

Cheburashka

Chechen-Ingush Autonomous Soviet Socialist Republic

Checacupe (in hispanicized spelling) or Ch'iqakupi (Aymara ch'iqa left, kupi right, "left right") is one of eight districts of the Canchis Province in the Cusco Region in Peru.

Cause

Notable landmarks

The Chebucto Peninsula is a Canadian peninsula located in central Nova Scotia entirely within the Halifax Regional Municipality on the Atlantic coast.It is bordered by St. Margarets Bay in the west, the open Atlantic Ocean to the south, and Halifax Harbour (including Bedford Basin) to the east. The peninsula also includes a sub-peninsula - the Halifax Peninsula.The majority of the central part of the Chebucto Peninsula is uninhabited and designated a protected wilderness area to prevent encroaching urban sprawl development.

Chebyshev polynomials of the second kind

Chebseh-ye Kuchek

hidden

Township

Chebyshev centre

In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev, are a sequence of orthogonal polynomials which are related to de Moivre's formula and which can be defined recursively. One usually distinguishes between Chebyshev polynomials of the first kind which are denoted Tn and Chebyshev polynomials of the second kind which are denoted Un. The letter T is used because of the alternative transliterations of the name Chebyshev as Tchebycheff, Tchebyshev (French) or Tschebyschow (German).The Chebyshev polynomials Tn or Un are polynomials of degree n and the sequence of Chebyshev polynomials of either kind composes a polynomial sequence.Chebyshev polynomials are polynomials with the largest possible leading coefficient, but subject to the condition that their absolute value on the interval [−1,1] is bounded by 1. They are also the extremal polynomials for many other properties.Chebyshev polynomials are important in approximation theory because the roots of the Chebyshev polynomials of the first kind, which are also called Chebyshev nodes, are used as nodes in polynomial interpolation. The resulting interpolation polynomial minimizes the problem of Runge's phenomenon and provides an approximation that is close to the polynomial of best approximation to a continuous function under the maximum norm. This approximation leads directly to the method of Clenshaw–Curtis quadrature.In the study of differential equations they arise as the solution to the Chebyshev differential equations ( 1 − x 2 ) y ″ − x y ′ + n 2 y = 0 {\displaystyle \left(1-x^{2}\right)y''-xy'+n^{2}y=0} and ( 1 − x 2 ) y ″ − 3 x y ′ + n ( n + 2 ) y = 0 {\displaystyle \left(1-x^{2}\right)y''-3xy'+n(n+2)y=0} for the polynomials of the first and second kind, respectively. These equations are special cases of the Sturm–Liouville differential equation.
Roelof

Ferry tipping

Chebychev filter

Location in Andhra Pradesh, India

Location

Chechen

Checco Zalone

Chebs

Swarttouw

Chechelnyk

Chechen-Russian conflict

Chebulinskiy Raion

Чебулинский район

Chebyshev inequality

In number theory, Chebyshev's bias is the phenomenon that most of the time, there are more primes of the form 4k + 3 than of the form 4k + 1, up to the same limit. This phenomenon was first observed by Chebyshev in 1853.

Chebyshev Iteration

Chebyshev's equation is the second order linear differential equation ( 1 − x 2 ) d 2 y d x 2 − x d y d x + p 2 y = 0 {\displaystyle (1-x^{2}){d^{2}y \over dx^{2}}-x{dy \over dx}+p^{2}y=0} where p is a real constant. The equation is named after Russian mathematician Pafnuty Chebyshev.The solutions are obtained by power series: y = ∑ n = 0 ∞ a n x n {\displaystyle y=\sum _{n=0}^{\infty }a_{n}x^{n}} where the coefficients obey the recurrence relation a n + 2 = ( n − p ) ( n + p ) ( n + 1 ) ( n + 2 ) a n . {\displaystyle a_{n+2}={(n-p)(n+p) \over (n+1)(n+2)}a_{n}.} These series converge for x in [ − 1 , 1 ] {\displaystyle [-1,1]} , as may be seen by applying the ratio test to the recurrence.The recurrence may be started with arbitrary values of a0 and a1, leading to the two-dimensional space of solutions that arises from second order differential equations. The standard choices are:a0 = 1 ; a1 = 0, leading to the solution F ( x ) = 1 − p 2 2 ! x 2 + ( p − 2 ) p 2 ( p + 2 ) 4 ! x 4 − ( p − 4 ) ( p − 2 ) p 2 ( p + 2 ) ( p + 4 ) 6 ! x 6 + ⋯ {\displaystyle F(x)=1-{\frac {p^{2}}{2!}}x^{2}+{\frac {(p-2)p^{2}(p+2)}{4!}}x^{4}-{\frac {(p-4)(p-2)p^{2}(p+2)(p+4)}{6!}}x^{6}+\cdots } anda0 = 0 ; a1 = 1, leading to the solution G ( x ) = x − ( p − 1 ) ( p + 1 ) 3 ! x 3 + ( p − 3 ) ( p − 1 ) ( p + 1 ) ( p + 3 ) 5 ! x 5 − ⋯ . {\displaystyle G(x)=x-{\frac {(p-1)(p+1)}{3!}}x^{3}+{\frac {(p-3)(p-1)(p+1)(p+3)}{5!}}x^{5}-\cdots .} The general solution is any linear combination of these two.When p is an integer, one or the other of the two functions has its series terminate after a finite number of terms: F terminates if p is even, and G terminates if p is odd. In this case, that function is a pth degree polynomial (converging everywhere, of course), and that polynomial is proportional to the pth Chebyshev polynomial. T p ( x ) = ( − 1 ) p / 2 F ( x ) {\displaystyle T_{p}(x)=(-1)^{p/2}\ F(x)\,} if p is even T p ( x ) = ( − 1 ) ( p − 1 ) / 2 p G ( x ) {\displaystyle T_{p}(x)=(-1)^{(p-1)/2}\ p\ G(x)\,} if p is oddThis article incorporates material from Chebyshev equation on PlanetMath, which is licensed under the Creative Commons Attribution/Share-Alike License.

Checca sauce is an uncooked tomato sauce used with pasta. Pasta alla checca is an Italian pasta dish using fresh, uncooked tomatoes, basil, fresh mozzarella, olive oil, garlic, salt, and pepper, typically prepared in the summer with fresh ripe tomatoes.A similar combination of ingredients has been dubbed checca sauce by Giada de Laurentiis.

In geometry, the Chebyshev center of a bounded set Q {\displaystyle Q} having non-empty interior is the center of the minimal-radius ball enclosing the entire set Q {\displaystyle Q} , or alternatively (and non-equivalently) the center of largest inscribed ball of Q {\displaystyle Q} .In the field of parameter estimation, the Chebyshev center approach tries to find an estimator x ^ {\displaystyle {\hat {x}}} for x {\displaystyle x} given the feasibility set Q {\displaystyle Q} , such that x ^ {\displaystyle {\hat {x}}} minimizes the worst possible estimation error for x (e.g.

Chechelivskyi District

Checheikhen

Chebsaurus

The Checheho River is a small river located in north-central Ethiopia. Part of the watershed of the Abay River, it rises to the east of Debre Zebit to flow south to join the Bashilo River. Its major tributary is the Zhit'a, which enters the Checheho on the left side.

Ecuador

Checca, Peru

Chebrol

Chebysheff

Chebseh-ye Bozorg (Persian: چبسه بزرگ‎‎; also known as Chepseh-ye Bozorg and Chopseh) is a village in Elhayi Rural District, in the Central District of Ahvaz County, Khuzestan Province, Iran. At the 2006 census, its population was 136, in 25 families.

Mayor

Chebyshev response

Chebyshev filter

The Chebucto Peninsula is a Canadian peninsula located in central Nova Scotia entirely within the Halifax Regional Municipality on the Atlantic coast.It is bordered by St. Margarets Bay in the west, the open Atlantic Ocean to the south, and Halifax Harbour (including Bedford Basin) to the east.

Cheche

Chebyshev Integral

Чебурашка

Mid to Late Jurassic

Chebula

Chebyshev polynomial of the first kind

Checa, Ecuador

Chebyshev–Markov–Stieltjes inequalities

(2R)-2-[(3S)-3-carboxy-5,6,7-trihydroxy-1-oxo-3,4-ihydroisochromen-4-yl]butanedioic acid

Country

Checheikhen was a daughter of Genghis Khan and his first wife Börte.

Lok Sabha constituency

Chebychev-Grubler-Kutzbach criterion

Russian

The Chebyshev linkage is a mechanical linkage that converts rotational motion to approximate straight-line motion.It was invented by the nineteenth-century mathematician Pafnuty Chebyshev, who studied theoretical problems in kinematic mechanisms. One of the problems was the construction of a linkage that converts a rotary motion into an approximate straight-line motion. This was also studied by James Watt in his improvements to the steam engine.The straight-line linkage confines the point P – the midpoint on the link L3 – on a straight line at the two extremes and at the center of travel. (L1, L2, L3, and L4 are as shown in the illustration.) Between those points, point P deviates slightly from a perfect straight line. The proportions between the links are L 1 : L 2 : L 3 = 2 : 2.5 : 1 = 4 : 5 : 2. {\displaystyle L_{1}:L_{2}:L_{3}=2:2.5:1=4:5:2.\,} Point P is in the middle of L3. This relationship assures that the link L3 lies vertically when it is at one of the extremes of its travel.The lengths are related mathematically as follows: L 4 = L 3 + L 2 2 − L 1 2 . {\displaystyle L_{4}=L_{3}+{\sqrt {L_{2}^{2}-L_{1}^{2}}}.\,} It can be shown that if the base proportions described above are taken as lengths, then for all cases, L 4 = L 2 . {\displaystyle L_{4}=L_{2}.\,} and this contributes to the perceived straight-line motion of point P.

Elevated in status to Chechen-Ingush Autonomous Soviet Socialist Republic

Tambrapuri,

Chechar District

Chebyshev's bias

Chebyshev is a large lunar crater that lies in the southern hemisphere on the far side of the Moon. The somewhat smaller crater Langmuir is intruding into the east-southeastern rim of Chebyshev, forming a chain of large craters with Brouwer on Langmuir's eastern rim.The outer rim of this walled plain is eroded and somewhat irregular, although much of the perimeter can still be discerned. The outer rampart of Langmuir spills into the interior, forming a rough patch in the southeastern floor.

Visakhapatnam-Vijayawada section of Howrah-Chennai main line

Chebychev-Grübler-Kutzbach criterion

Location of Checca in the Canas province

Chechehet

Ruda Chebzie sworzec 27 01 2012 DSC 6702.jpg

Checacupe District

Ingush Autonomous Oblast

Cheburashka (Russian: Чебурашка, translit. Cheburashka) is a 1972 Soviet/Russian animated film directed by Roman Kachanov.

In numerical linear algebra, the Chebyshev iteration is an iterative method for determining the solutions of a system of linear equations. The method is named after Russian mathematician Pafnuty Chebyshev.Chebyshev iteration avoids the computation of inner products as is necessary for the other nonstationary methods. For some distributed-memory architectures these inner products are a bottleneck with respect to efficiency.

Chebyshev-Markov-Stieltjes inequalities

Chebrolu Gram Panchayat

EEST

Checa, Spain

Chechechela, una chica de barrio

Chech (region)

Chebucto Head

Checco Durante (19 November 1893 – 5 January 1976) was an Italian film actor. He appeared in 59 films between 1931 and 1973. He was born and died in Rome, Italy.

Chebrolu, East Godavari district

Chebulic acid.svg

Chebyshev differential equation

See below

Not available

Chebyshev's inequality

population males

Chebyshev expansion

InternetArchiveBot

Chech Erg

Chebyshev Bias

Chechen Island

Checa is a municipality located in the province of Guadalajara, Castile-La Mancha, Spain. According to the 2004 census (INE), the municipality has a population of 364 inhabitants.

Chebyshev's Lambda Mechanism

Ruda Śląska - Chebzie.svg

Cheburashka (1972 film)

Chechar

Chebyshev-Markov-Stieltjes inequality

Chebulinsky Municipal District

Ingush and Chechen

Checco Rissone

Cheb–Oberkotzau railway

Chech (disambiguation)

Chebyshev is a large lunar crater that lies in the southern hemisphere on the far side of the Moon. The somewhat smaller crater Langmuir is intruding into the east-southeastern rim of Chebyshev, forming a chain of large craters with Brouwer on Langmuir's eastern rim.The outer rim of this walled plain is eroded and somewhat irregular, although much of the perimeter can still be discerned. The outer rampart of Langmuir spills into the interior, forming a rough patch in the southeastern floor. Several craters lie along the western rim, most notably Chebyshev U. The rim of this last crater is sharp-edged but somewhat irregular due to some slight outward bulges. The northern rim of Chebyshev has a wide notch extending outward about 30–40 kilometres in a V-shape. There are some other minor craters along the northeast rim, and the southern rim is a disorganized jumble.The interior floor of Chebyshev is a mixture of relatively level plains and irregular stretches. A short chain of small craters has formed a gouge from the western inner wall reaching almost to the midpoint. There are several streaky clefts in the floor in the northeastern part of the crater. In the south is the bowl-shaped satellite crater Chebyshev N, a nearly symmetrical formation except for a slight outward bulge to the southwest. There is also an irregular crater along the inner wall to the west-southwest.

Iran

In probability theory, Chebyshev's inequality (also spelled as Tchebysheff's inequality, Russian: Нера́венство Чебышёва) guarantees that, for a wide class of probability distributions, "nearly all" values are close to the mean—the precise statement being that no more than 1/k2 of the distribution's values can be more than k standard deviations away from the mean (or equivalently, at least 1−1/k2 of the distribution's values are within k standard deviations of the mean).

Checheho River

Chebrol, West Godavari district, Andhra Pradesh

Chebrolu is a village in Guntur district of the Indian state of Andhra Pradesh. It is the mandal headquarters of Chebrolu mandal in Tenali revenue division. It was once a Buddhist site and territorial capital of Kakatiya dynasty. The Archaeological excavations revealed Buddhist artefacts of Satavahana and Ikshavaku period.
Chatturmukhapuram

Chebulagic acid is a benzopyran tannin and an antioxidant that has many potential uses in medicine.It has been found to be immunosuppressive, hepatoprotective, and a potent alpha-glucosidase inhibitor, a human gut enzyme useful in diabetic studies.It has been shown to be active against Staphylococcus aureus and Candida albicansIt is found in the plants Terminalia chebula, T. citrina and T. catappa.It is formed from geraniin through a glutathione-mediated conversion.

Town

Checcucci

Chechen-Americans

Location in West Bengal, India

In geometry, the Chebyshev center of a bounded set Q {\displaystyle Q} having non-empty interior is the center of the minimal-radius ball enclosing the entire set Q {\displaystyle Q} , or alternatively (and non-equivalently) the center of largest inscribed ball of Q {\displaystyle Q} .In the field of parameter estimation, the Chebyshev center approach tries to find an estimator x ^ {\displaystyle {\hat {x}}} for x {\displaystyle x} given the feasibility set Q {\displaystyle Q} , such that x ^ {\displaystyle {\hat {x}}} minimizes the worst possible estimation error for x (e.g. best worst case).

Chebyshev node

Нохч-ГІалгІайн AО

Rome, Italy

The Chebyshev pseudospectral method for optimal control problems is based on Chebyshev polynomials of the first kind. It is part of the larger theory of pseudospectral optimal control, a term coined by Ross. Unlike the Legendre pseudospectral method, the Chebyshev pseudospectral (PS) method does not immediately offer high-accuracy quadrature solutions. Consequently, two different versions of the method have been proposed: one by Elnagar et al., and another by Fahroo and Ross. The two versions differ in their quadrature techniques. The Fahroo–Ross method is more commonly used today due to the ease in implementation of the Clenshaw–Curtis quadrature technique (in contrast to Elnagar–Kazemi's cell-averaging method). In 2008, Trefethen showed that the Clenshaw–Curtis method was nearly as accurate as Gauss quadrature. This breakthrough result opened the door for a covector mapping theorem for Chebyshev PS methods. A complete mathematical theory for Chebyshev PS methods was finally developed in 2009 by Gong, Ross and Fahroo.

Talukas

Chebychev's inequality

Chebyshev iteration

Chebrolu, Guntur district

Location of Checacupe in the Canchis province

Chechen (disambiguation)

Chebyshev inequality in probability theory

Chebrolu Temple Gopuram

Founded

Imperial

Koornwinder

Chechar (Arabic: ششار‎‎; Tifinagh: ) is a district in Khenchela Province, Algeria. It was named after its capital, Chechar.

Cheburek

In mathematics, Chebyshev's sum inequality, named after Pafnuty Chebyshev, states that if a 1 ≥ a 2 ≥ ⋯ ≥ a n {\displaystyle a_{1}\geq a_{2}\geq \cdots \geq a_{n}} and b 1 ≥ b 2 ≥ ⋯ ≥ b n , {\displaystyle b_{1}\geq b_{2}\geq \cdots \geq b_{n},} then 1 n ∑ k = 1 n a k ⋅ b k ≥ ( 1 n ∑ k = 1 n a k ) ( 1 n ∑ k = 1 n b k ) .

Chebuloyl

Indian Railway Station

Chebyshev polynomial

Checa (disambiguation)

Chebyshev

Chairman of

Chebulinskii

County/City

Sauropsida

Nature Trail near Verkh Chebula

Chebuk is a village in Hsawlaw Township in Myitkyina District in the Kachin State of north-eastern Burma.

Autonomous Oblasts

Chebucto Peninsula

Chebyshev filters are analog or digital filters having a steeper roll-off and more passband ripple (type I) or stopband ripple (type II) than Butterworth filters. Chebyshev filters have the property that they minimize the error between the idealized and the actual filter characteristic over the range of the filter, but with ripples in the passband. This type of filter is named after Pafnuty Chebyshev because its mathematical characteristics are derived from Chebyshev polynomials.Because of the passband ripple inherent in Chebyshev filters, the ones that have a smoother response in the passband but a more irregular response in the stopband are preferred for some applications.

Koekoek

Chebucto

Telephone code

Chebulic myrobalan

Chebyshev's theorem

EET

Date

Chebucto or Chebucto I

para

Chebu-dong

Checca is a town in the Cusco Region of Peru. Its population is 3,810.

District Council

Checacupe

Fatalities

Unknown

Sold for $275 in 1892

Pablo Cesar Chaiña Carpio

Romania

Chebsaurus is a genus of quadrupedal, herbivorous, cetiosaurid sauropod dinosaur, specifically a eusauropod. It lived in present-day Algeria, in the Middle Jurassic Period. The type species, C. algeriensis, was named in 2005 by Farida Mahammed and is the most complete Algerian sauropod known. It was around 8 to 9 meters long.The word "Cheb" "شاب" is colloquial Arabic for "young man", as the fossils found were believed to be from a juvenile. The original publication, by Mahammed et al., gives Chebsaurus the nickname "the Giant of Ksour".The skeleton, including cranial material, was found in the Occidental Saharan Atlas (Algerian High Atlas).

Indian railway

The second derivative of the Chebyshev polynomial of the first kind is

:

which, if evaluated as shown above, poses a problem because it is indeterminate at . Since the function is a polynomial, the derivatives must exist for all real numbers, so the taking to limit on the expression above should yield the desired value:

:

where only is considered for now. Factoring the denominator:

:

Since the limit as a whole must exist, the limit of the numerator and denominator must independently exist, and

:

The denominator limits to zero, which implies that the numerator must be limiting to zero, i.e. which will be useful later on. Since the numerator and denominator are both limiting to zero, L'Hôpital's rule applies:

:

The proof for is similar, with the fact that being important.

Chebrolu, West Godavari district

Teodor Bunimovich

Chebyshev-Gauss Quadrature

چبسه كوچك

Chebu dong

Checca sauce

Chebulagic acid

Chebyshev distance

Chebsko

Chebrolu Temple.jpg

Orthogonal Polynomials

India West Bengal#India

File:Chebrolu mandal in Guntur district.jpg

Chebyshev-Gauss quadrature

Chebulinskiy

Checca

Chebyshev–Gauss quadrature

Chebucto Community Network

Village

Chechen' Island

Ethnicities

Chebychev

Cheb–Františkovy Lázně: 25 kV, 50 Hz

Chechen-Ingush AO

Checcoli

Checang

Chechen-Ingush Autonomous Soviet Republic

Chech cohomology

population females

Chebyshev-gauss quadrature

February 2013

Chebyshev polynomials

Checca District

The Chebyshev pseudospectral method for optimal control problems is based on Chebyshev polynomials of the first kind. It is part of the larger theory of pseudospectral optimal control, a term coined by Ross. Unlike the Legendre pseudospectral method, the Chebyshev pseudospectral (PS) method does not immediately offer high-accuracy quadrature solutions. Consequently, two different versions of the method have been proposed: one by Elnagar et al., and another by Fahroo and Ross.

Dorin Birdean

Chebucto (disambiguation)

Chebyshev's bound

November 2016

Chebsaurus is a genus of quadrupedal, herbivorous, cetiosaurid sauropod dinosaur, specifically a eusauropod. It lived in present-day Algeria, in the Middle Jurassic Period. The type species, C. algeriensis, was named in 2005 by Farida Mahammed and is the most complete Algerian sauropod known. It was around 8 to 9 meters long.The word "Cheb" "شاب" is colloquial Arabic for "young man", as the fossils found were believed to be from a juvenile.

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Chebychevs inequality

Location in Burma

Chech (Bulgarian: Чеч) or Chechko (Bulgarian: Чечко) is a geographical and historical region of the Balkan peninsula in southeastern Europe in modern-day Bulgaria and Greece. It consists of about 60 settlements and was traditionally mostly Pomak, with an Orthodox Bulgarian minority.The Chech region is situated on the border of the much larger regions of Macedonia and Thrace. It covers the western Rhodope Mountains and the northern slopes of Falakro (Bulgarian: Боздаг, Bozdag). It is divided in two: Drama Chech and Nevrokopi Chech. The first one and partially the second one is in Greece.According to Vasil Kanchov the eastern border of Chech is the Dospat River and the western one is the river of Dabnitsa. Thus the Chech comprises the municipalities: Satovcha, Dospat and the villages in the valleys of the Dospat River and Bistritsa river. The villages in the Greek Chech are part of Kato Nevrokopi municipality and Sidironero community. The Pomak population of the Greek part of Chech was exchanged with Turkey during the Greek-Turkish population exchange in 1923 and replaced with Orthodox Christians from Turkey.Many of the Chech villages in Greece are now abandoned.

Chebyshev function

Chechaglu

Chebulinskii District

A shopping mall in Chechelivskyi District

Jesús Quispe Hancco

Chebyshev polynomial of the second kind

Chechen-Ingush ASSR

unified

Gollaprolu

Chebyshev (asteroid)

WB-70, WB-63

Chebyshev functions

Chebulinskoye

Chechen-Ingush Autonomous Oblast (Russian: Чечено-Ингушская автономная область) was an autonomous oblast of the Russian SFSR, Soviet Union, created on January 15, 1934 by merging Chechen and Ingush Autonomous Oblasts.It was elevated in status to Chechen-Ingush Autonomous Soviet Socialist Republic on December 5, 1936.

Map of Khenchela Province highlighting Chechar District

This article is not about the Chebyshev rational functions used in the design of elliptic filters. For those functions, see Elliptic rational functions.In mathematics, the Chebyshev rational functions are a sequence of functions which are both rational and orthogonal. They are named after Pafnuty Chebyshev. A rational Chebyshev function of degree n is defined as: R n ( x ) = d e f T n ( x − 1 x + 1 ) {\displaystyle R_{n}(x)\ {\stackrel {\mathrm {def} }{=}}\ T_{n}\left({\frac {x-1}{x+1}}\right)} where T n ( x ) {\displaystyle T_{n}(x)} is a Chebyshev polynomial of the first kind.

Chebulinski Raion

Standard

Galina Filatova

May

Nature Trail near Upper Chebula.jpg

Cheche Disaster

No permanent residents

Chebyshev bias

Mahammed et al.
Animalia

India Andhra Pradesh

Chebyshev form

Location of Chebzie within Ruda Śląska

Chebyshev root

Tom H.

Chebulinsky

ChebyshevBias

Checc Me Out

Chebucto Community Net

Chebyshev nodes

May 2012

Chechelivskyi District (Ukrainian: Чечелівський район) is an urban district of the city of Dnipropetrovsk, in southern Ukraine. It is located in the city's center on the southwestern outskirts and the right-bank of the Dnieper River.

Cheburashka Goes to School (Russian: Чебурашка идёт в школу, Cheburashka Idet v Shkolu) is a 1983 Soviet animated film directed by Roman Kachanov.

"Cameron" of New Glasgow. Built in Dartmouth.

Chebyshev (disambiguation)

In mathematics, Chebyshev's sum inequality, named after Pafnuty Chebyshev, states that if a 1 ≥ a 2 ≥ ⋯ ≥ a n {\displaystyle a_{1}\geq a_{2}\geq \cdots \geq a_{n}} and b 1 ≥ b 2 ≥ ⋯ ≥ b n , {\displaystyle b_{1}\geq b_{2}\geq \cdots \geq b_{n},} then 1 n ∑ k = 1 n a k ⋅ b k ≥ ( 1 n ∑ k = 1 n a k ) ( 1 n ∑ k = 1 n b k ) . {\displaystyle {1 \over n}\sum _{k=1}^{n}a_{k}\cdot b_{k}\geq \left({1 \over n}\sum _{k=1}^{n}a_{k}\right)\left({1 \over n}\sum _{k=1}^{n}b_{k}\right).} Similarly, if a 1 ≤ a 2 ≤ ⋯ ≤ a n {\displaystyle a_{1}\leq a_{2}\leq \cdots \leq a_{n}} and b 1 ≥ b 2 ≥ ⋯ ≥ b n , {\displaystyle b_{1}\geq b_{2}\geq \cdots \geq b_{n},} then 1 n ∑ k = 1 n a k b k ≤ ( 1 n ∑ k = 1 n a k ) ( 1 n ∑ k = 1 n b k ) . {\displaystyle {1 \over n}\sum _{k=1}^{n}a_{k}b_{k}\leq \left({1 \over n}\sum _{k=1}^{n}a_{k}\right)\left({1 \over n}\sum _{k=1}^{n}b_{k}\right).}

ChechenPress

دائرة ششار

Chebulinski District

Roderick S. C.

Established

In probability theory, Chebyshev's inequality (also spelled as Tchebysheff's inequality, Russian: Нера́венство Чебышёва) guarantees that, for a wide class of probability distributions, "nearly all" values are close to the mean—the precise statement being that no more than 1/k2 of the distribution's values can be more than k standard deviations away from the mean (or equivalently, at least 1−1/k2 of the distribution's values are within k standard deviations of the mean). The rule is often called Chebyshev's theorem, about the range of standard deviations around the mean, in statistics. The inequality has great utility because it can be applied to any probability distribution in which the mean and variance are defined. For example, it can be used to prove the weak law of large numbers.In practical usage, in contrast to the 68–95–99.7 rule, which applies to normal distributions, under Chebyshev's inequality a minimum of just 75% of values must lie within two standard deviations of the mean and 89% within three standard deviations.The term Chebyshev's inequality may also refer to Markov's inequality, especially in the context of analysis.

Chebyshov

Lunar Reconnaissance Orbiter image

Map of Algeria highlighting Khenchela Province

Tomatoes, olive oil

Chebyshev cube root

Ferry

Tehsildar

Illustration

Чебурашка идёт в школу

Chebyshev equation

Urban-type settlements

In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev, are a sequence of orthogonal polynomials which are related to de Moivre's formula and which can be defined recursively. One usually distinguishes between Chebyshev polynomials of the first kind which are denoted Tn and Chebyshev polynomials of the second kind which are denoted Un.

Cheb–Hranice v Cechach railway

Chebychev–Grübler–Kutzbach criterion

Chebulinsky District (Russian: Чебули́нский райо́н) is an administrative district (raion), one of the nineteen in Kemerovo Oblast, Russia. As a municipal division, it is incorporated as Chebulinsky Municipal District. It is located in the north of the oblast. The area of the district is 3,780 square kilometers (1,460 sq mi). Its administrative center is the urban locality (an urban-type settlement) of Verkh-Chebula. Population: 16,348 (2010 Census); 17,971 (2002 Census); 17,723 (1989 Census).

René F.

Chebyshev’s inequality

Chechen-Balka

Cheburashka (film)

This article is not about the Chebyshev rational functions used in the design of elliptic filters. For those functions, see Elliptic rational functions.In mathematics, the Chebyshev rational functions are a sequence of functions which are both rational and orthogonal. They are named after Pafnuty Chebyshev.

In mathematics, Chebyshev distance (or Tchebychev distance), maximum metric, or L∞ metric is a metric defined on a vector space where the distance between two vectors is the greatest of their differences along any coordinate dimension.

Chebulic

Chebyshev norm

Coat of arms of the Krasnohvardiiskyi District.jpg

Chebulinic acid

left

Unguturu mandal

Chebseh-ye Bozorg

In mathematics, the Chebyshev function is either of two related functions. The first Chebyshev function ϑ(x) or θ(x) is given by ϑ ( x ) = ∑ p ≤ x log ⁡ p {\displaystyle \vartheta (x)=\sum _{p\leq x}\log p} with the sum extending over all prime numbers p that are less than or equal to x.The second Chebyshev function ψ(x) is defined similarly, with the sum extending over all prime powers not exceeding x: ψ ( x ) = ∑ p k ≤ x log ⁡ p = ∑ n ≤ x Λ ( n ) = ∑ p ≤ x ⌊ log p ⁡ x ⌋ log ⁡ p , {\displaystyle \psi (x)=\sum _{p^{k}\leq x}\log p=\sum _{n\leq x}\Lambda (n)=\sum _{p\leq x}\left\lfloor \log _{p}x\right\rfloor \log p,} where Λ is the von Mangoldt function. The Chebyshev functions, especially the second one ψ(x), are often used in proofs related to prime numbers, because it is typically simpler to work with them than with the prime-counting function, π(x) (See the exact formula, below.) Both Chebyshev functions are asymptotic to x, a statement equivalent to the prime number theorem.Both functions are named in honour of Pafnuty Chebyshev.

Checa, Guadalajara

Location of Chebulinsky District in Kemerovo Oblast

Checca District is the largest of eight districts in the Canas Province in Peru. Its seat is Checca.

ChebyshevFunctions

In mathematics, Chebyshev distance (or Tchebychev distance), maximum metric, or L∞ metric is a metric defined on a vector space where the distance between two vectors is the greatest of their differences along any coordinate dimension. It is named after Pafnuty Chebyshev.It is also known as chessboard distance, since in the game of chess the minimum number of moves needed by a king to go from one square on a chessboard to another equals the Chebyshev distance between the centers of the squares, if the squares have side length one, as represented in 2-D spatial coordinates with axes aligned to the edges of the board. For example, the Chebyshev distance between f6 and e2 equals 4.

Chebyshev approximation

Chechaklu

Proof

Cheburashka idyot v shkolu

Checchin

Chebulagic acid.PNG

Burma

Chebyshev polynomials/Proofs

Chechen-Ool Mongush

Chech

Chebulinskiy District

Chebrolu (disambiguation)

Chechelivskyi District, Dnipropetrovsk

CZ-KBS

Chebulinski

Chebyshev's equation is the second order linear differential equation ( 1 − x 2 ) d 2 y d x 2 − x d y d x + p 2 y = 0 {\displaystyle (1-x^{2}){d^{2}y \over dx^{2}}-x{dy \over dx}+p^{2}y=0} where p is a real constant.

Chechclear

Dnepr rajons.png

Chechen-Ingush languages

Dnipropetrovsk Municipality

Chebyshev spectral method

Side paddlewheels, engine

Chechen-Slav ethnic clashes (1958-65)

Grozny

Chebyshev integral

P. K.

Chechen Island (Russian: Остров Чечень; Ostrov Chechen') is a coastal island on the western shore of the Caspian Sea. It is located 20 km east of Krainovka right off the headland on the northern tip of the Agrakhan Peninsula. This island belongs to the Republic of Dagestan, a federal subject of the Russian Federation.The island has a length of 15 kilometres (9 mi) and a maximum width of 10 km. The sea around Chechen Island usually freezes between January and March. Adjacent islands include Lopatin Island (also known as Lopatina), Bazar, Prygunki, Pichuzhonok and Yaichnyy Island and are collectively known as the 'Chechen Archipekago.

Cheche Lazaro

Chebsey

East Godavari

Checca (disambiguation)

Chechen Island (Russian: Остров Чечень; Ostrov Chechen') is a coastal island on the western shore of the Caspian Sea. It is located 20 km east of Krainovka right off the headland on the northern tip of the Agrakhan Peninsula. This island belongs to the Republic of Dagestan, a federal subject of the Russian Federation.The island has a length of 15 kilometres (9 mi) and a maximum width of 10 km. The sea around Chechen Island usually freezes between January and March.

The Chebyshev's Lambda Mechanism is a four-bar mechanism that converts rotational motion to approximate straight-line motion with approximate constant velocity. The precise design trades off straightness, lack of acceleration, and what proportion of the driving rotation is spent in the linear portion of the full curve.The example to the right spends over half of the cycle in the near straight portion.The Chebyshev's Lambda Mechanism is a cognate linkage of the Chebyshev linkage.The linkage was first shown in Paris on the Exposition Universelle (1878) as "The Plantigrade Machine".The Chebyshev's Lambda Mechanism looks like the Greek letter lambda, therefore the linkage is also known as Lambda Mechanism.

Chebyshev center

Ch'iqakupi

Chebulic Myrobalan

Chechem Ha Cave

Chebyshev iteration method