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He is best known for his role as Leo Wyatt on The WB television series Charmed ( 1998-2006 ) . | He is best known for his role as Leo Wyatt on the WB Network television series Charmed from 1998 to 2006 . |
For instance , the functions f : X → Y and g : Y → Z can be composed to yield a function which maps x in X to g ( f ( x ) ) in Z. Intuitively , if z is a function g of y and y is a function f of x , then z is a function of x . The resulting composite function , notated g ∘ f : X → Z -- interchangeably written , in many sources and within this article , as g ∘ f : X → Y -- is defined by ( g ∘ f ) ( x ) = g ( f ( x ) ) for all x in X . The notation g ∘ f is read as `` g circle f '' , or `` g round f '' , or `` g composed with f '' , `` g after f '' , `` g following f '' , or `` g of f '' . | The value of g ∘ f given the input x is written ( g ∘ f ) ( x ) and is defined as g ( f ( x ) ) ( which means our way of writing g composed with f makes sense ) . |
In mathematics , function composition is the pointwise application of one function to another to produce a third function . | In mathematics , function composition is a way to make a new function from two other functions . |
Marion Sylvester Barber III ( born June 10 , 1983 ) is a former American football running back who played in the National Football League ( NFL ) for seven seasons . | Marion Sylvester Barber III ( born June 10 , 1983 ) is a former American football running back in the National Football League . |
Following the 2011 season , Barber announced his retirement from the NFL on March 23 , 2012 . | On March 23 , 2012 , Barber announced his retirement . |
Barber was released by Dallas on July 28 , 2011 . | Barber was released by Dallas after the 2010 season . |
He caught 44 passes for 282 yards and two touchdowns . | He added 44 catches , 282 yards , and two receiving touchdowns in 2007 . |
After forgoing his senior season , he was selected in the fourth round ( 109th overall ) of the 2005 NFL Draft by the Dallas Cowboys . | Barber was drafted by the Dallas Cowboys in the 4th round ( 109 overall ) of the 2005 NFL Draft . |
Barber beat out Chester Taylor ( as Chester Taylor got cut ) for the Chicago Bears ' 2nd string Running Back position after Matt Forte . | Barber was signed by the Chicago Bears as a backup to Matt Forte . |
Like his father , he played college football at the University of Minnesota where the coaches originally wanted him to play safety , but after seeing him run , they kept him at running back where he ranks fourth on the school 's all-time rushing list with 3,276 yards , second with 4,495 all-purpose yards and second in rushing touchdowns with 35 , one better than his father , Marion Barber Jr. . | He had 35 rushing touchdowns , one more than his father , Marion Barber Jr. . |
The British then captured Accra in 1874 , and in 1877 , at the end of the second Anglo-Asante War , Accra replaced Cape Coast as the capital of the British Gold Coast . | In 1877 , at the end of the second Anglo-Asante War , Accra replaced Cape Coast as the capital of the British Gold Coast colony . |
By the 17th century , the Portuguese , followed by the Swedish , Dutch , French , British and Danish , had constructed forts in the city . | The Portuguese built a fort in the town . |
Accra \ / əˈkrɑː \ / is the capital city and largest city of Ghana , with an estimated urban population of 2.269 million as of 2012 ( update ) . | Accra is the capital city of Ghana . |
Carthage was founded in 814 BC , and the Carthaginians by 700 BC had firmly established strongholds in Sicily , Italy and Sardinia , which created conflicts of interest with Etruria . | Carthage was founded in 814 BC , and the Carthaginians by 700 BC had firmly established strongholds in Sicily , Italy and Sardinia , which brought about conflicts of interest with Etruria . |
The Archaic period followed the Greek Dark Ages , and saw significant advancements in political theory , and the rise of democracy , philosophy , theater , poetry , as well as the revitalisation of the written language ( which had been lost during the Dark Ages ) . | The Archaic period followed the Greek Dark Ages , and saw the rise of democracy , philosophy , theater , poetry , as well as the revitalisation of the written language ( which had been lost during the Dark Ages ) . |
The earliest period of classical antiquity takes place before the background of gradual re-appearance of historical sources following the Bronze Age collapse . | Further information : Iron Age The earliest period of classical antiquity took place before the re-appearance of historical sources after the Bronze Age collapse . |
Classical antiquity ( also the classical era , classical period or classical age ) is a broad term for a long period of cultural history centered on the Mediterranean Sea , comprising the interlocking civilizations of ancient Greece and ancient Rome , collectively known as the Greco-Roman world . | Classical antiquity ( also the classical era or classical period ) is a broad term for a long period of cultural history around the Mediterranean . |
The 8th and 7th centuries BC are still largely proto-historical , with the earliest Greek alphabetic inscriptions appearing in the first half of the 8th century . | The earliest Greek alphabetic inscriptions are in the first half of the 8th century . |
Pottery styles associated with the later part of the Archaic age are the black-figure pottery , which originated in Corinth during the 7th century BC and its successor , the red-figure style , developed by the Andokides Painter in about 530 BC . | Pottery styles of the later part of the Archaic age are the black-figure pottery , started in Corinth during the 7th century BC . |
The Monumento dei quattro mori ( `` Monument of the Four Moors '' ) , is dedicated to Grand Duke Ferdinando I de ' Medici of Tuscany , and is one of the most important monuments of Livorno . | The `` Monumento dei quattro mori '' ( `` Monument of the Four Turks '' ) , dedicated to Grand Duke Ferdinando I de ' Medici of Tuscany , is one of the most important monuments of Livorno . |
Its three bastions are named Capitana , Ampolletta and Canaviglia . | Another important monument is the old fortress which has 3 bastions called `` Capitana '' , `` Ampolletta '' and `` Canaviglia '' . |
The original fortress was built before the Renaissance . | It was made before the Renaissance . |
Many European foreigners moved to Livorno . | Many foreigners moved to Livorno such as Jews , Armenians , Greeks , Dutch , and English . |
Fazio was the union representative for Force Ouvrière , from 2002 to 2010 . | Fazio was the union representative for Workers ' Force Ouvrière , from 2002 to 2010 . |
The actual site of Jomei 's grave is known . | The actual place of Jomei 's grave is known . |
Emperor Jomei 's reign lasted 13 years . | Jomei 's reign lasted 13 years . |
, 593 - November 17 , 641 ) was the 34th emperor of Japan , according to the traditional order of succession . | , 593 - 641 ) was the 34th Emperor of Japan , according to the traditional order of succession . |
Lake Ülemiste ( Estonian : Ülemiste järv ) is the largest of the lakes surrounding Tallinn , Estonia . | Lake Ülemiste ( Estonian : Ülemiste järv ) is the largest of the lakes near to the capital . |
The lake is fed mostly by Kurna stream and Pirita River ( through Vaskjala-Ülemiste canal ) . | The lake gets its water mostly from the small Kurna stream and the larger Pirita River ( through the Vaskjala-Ülemiste canal ) . |
The legendary-mythological '' Ülemiste Elder '' ( Estonian : Ülemiste vanake ) is believed to live in the lake . | The legend says that the `` Old Man of Lake Ülemiste '' ( Estonian : Ülemiste vanake ) lives in the lake . |
If anyone should meet him , then he is believed to ask : `` Is Tallinn ready yet ? '' | When anyone meets him , he always asks : `` Is Tallinn ready yet ? '' |
Gabriel Contino ( born March 4 , 1974 ) , better known as Gabriel o Pensador ( Portuguese for `` Gabriel the Thinker '' ) is a Brazilian rapper , writer , and composer known for his intellectual lyrics which talk of activism , and issues of race , politics , social problems , and the Catholic church . | Gabriel Contino better known as Gabriel o Pensador is a Brazilian rapper . |
Currently the city 's population is 97 % Polish , 2.5 % Belarusian and 0.5 % of a number of minorities including Russians , Lipka Tatars , Ukrainians and Romani . | Currently the city 's population is 97 % Polish , 2.5 % Belarusian and 0.5 % of a number of minorities including Russians , Lipka Tartars , Ukrainians and Romani . |
This environment was created in the mid eighteenth century by the patronage of Jan Klemens Branicki for the arts and sciences . | This environment was created in the mid-18th century by the patronage of Jan Klemens Branicki for the arts and sciences . |
The 28th , Dojlidy Górne , was created by on October 23 , 2006 , out of three settlements which had been incorporated into the city : Dojlidy Górne , Kolonia Halickie , and Zagórki . | The 28th , Dojlidy Górne , was created on October 23 , 2006 , out of three settlements which had been incorporated into the city : Dojlidy Górne , Kolonia Halickie , and Zagórki . |
The tradition continued with many garment factories established in the twentieth century , such as Fasty in the district of Bacieczki . | The tradition continued with many garment factories established in the 20th century , such as Fasty in the district of Bacieczki . |
Numerous historic works of architecture no longer exist , while many others have been rebuilt to their original configuration . | Numerous historic works of architecture no longer exist while many others have been rebuilt to their original configuration . |
Białystok in 2010 , was on the short-list , but ultimately lost the competition to become a finalist for European Capital of Culture in 2016 . | In 2010 , Białystok was on the short-list , but ultimately lost the competition to become a finalist for European Capital of Culture in 2016 . |
Jagiellonia Białystok is a Polish football club , based in Białystok , in the Ekstraklasa League that plays at the Białystok City Stadium . | Jagiellonia Białystok is a Polish football club , based in Białystok , that plays in Ekstraklasa league at the Białystok City Stadium . |
After the Soviet invasion of Poland , remnants of the Brigade fought both Wehrmacht and Red Army troops , capitulating on October 6 , 1939 . | After the Soviet invasion of Poland , remnants of the Brigade fought both Wehrmacht and Red Army troops , surrendering on October 6 , 1939 . |
Białystok is situated in the Białystok Uplands ( Polish : Wysoczyzna Białostocka ) of the Podlaskie Plain ( Polish : Nizina Północnopodlaska ) , part of what is known collectively as the Green Lungs of Poland . | Białystok is in the Białystok Uplands ( Polish : Wysoczyzna Białostocka ) of the Podlaskie Plain ( Polish : Nizina Północnopodlaska ) , part of what is known collectively as the Green Lungs of Poland . |
There are a number of national and locally produced television and radio channels available both over-the-air from the nearby RTCN Białystok ( Krynice ) Mast , the seventh highest structure in Poland , in addition to transmitter sites within the city . | There are a number of national and locally produced television and radio channels available both over-the-air from the nearby RTCN Białystok ( Krynice ) Mast , the seventh highest structure in Poland , in addition to transmitter sites within the city and on the cable television network within the city . |
Railways Passenger trains connect from Suvalki , Hrodno and Lithuania to Warsaw and the rest of the European passenger network . | Passenger trains connect from Suvalki ( Poland ) , Hrodno and Lithuania to Warsaw and the rest of the European passenger network . |
According to Russian census of 1897 , out of the total population of 66,000 , Jews constituted 41,900 ( around 63 % percent ) . | According to the Russian Empire Census of 1897 , out of the total population of 66,000 , Jews constituted 41,900 ( around 63 % percent ) . |
Białystok has traditionally been one of the leading centers of academic , cultural , and artistic life in Podlaskie and the most important economic center in northeastern Poland . | Białystok has traditionally been one of the leading center of academic , cultural and artistic life in Podlaskie and is the most important economic center in northeastern Poland . |
Very few historic buildings of the city have been preserved - the sights are merely an echo of the old historical shape of Białystok . | The historic buildings of the city have not been preserved very well - the sights are merely an echo of the old historical shape of Białystok . |
Since the fall of communism many privately funded institutions of higher educations have been founded and their number is still increasing . | Since the fall of communism many private-funded institutions of higher educations were founded and their number is still increasing . |
The municipalities adjacent to Białystok are slowly losing their agricultural character , becoming residential suburban neighborhoods with single-family housing and small businesses . | The municipalities adjacent to Białystok are slowly losing their agricultural character , becoming residential suburban neighborhoods . |
Since the border with Belarus is also the eastern border of the European Union , as well as the Schengen Area the city is a center for trade in mainly from the east . | Since the border with Belarus is also the eastern border of the European Union , as well as the Schengen Area , the city is a center for trade from countries to the east . |
There were plans in 2011 to build a new regional airport , Białystok-Saniki Airport , that would have provided flights within Europe . | There are plans to build a new regional airport , Białystok-Saniki Airport , in the next few years that will provide flights within Europe . |
Higher education in the city can be traced back to the second half of the eighteenth century , when the ownership of the city was inherited by Field Crown Hetman Jan Klemens Branicki . | Higher education in the city can be traced back to the second half of the 18th century when the ownership of the city was inherited by Jan Klemens Branicki . |
The region is one of the coldest in Poland , with the average temperature in January being − 6 ° C ( 21 ° F ) . | The region is one of the coldest in Poland , with the average temperature in January being - − 5 ° C ( 23 ° F ) . |
The city is also the seat of the Białystok-Gdansk Diocese of the Autocephalous Polish Orthodox Church . | The city is also the seat of the Bialystok-Gdansk Diocese of the Polish Orthodox Church . |
Architecture The various historically driven changes have had a very significant influence on the architectural space of the city . | The various historically driven changes have had a very significant influence on the architectural space of the city . |
The landscape of the Białystok Upland is diverse , with high moraine hills and kame in excess of 200 m ( 660 ft ) above sea level . | The landscape of the Białystok Upland is diverse , with high moraine hills in excess of 200 m ( 660 ft ) above sea level . |
Jagiellonia Białystok won the Polish Cup in 2010 , Super Cup and qualified to play in the third round qualification of the UEFA Europa League . | In 2010 , Jagiellonia Białystok won the Polish Cup and the Super Cup , and qualified to play in the third round qualification of the UEFA Europa League . |
The city is represented by several members of both houses of the Polish Parliament ( Sejm and Senat ) from the Białystok constituency . | The city is represented by several members of both houses of the Polish Parliament ( Sejm and Senat ) . |
Most of the modern-day population growth is based on internal migration within Poland and urbanization of surrounding areas . | Most of the modern-day population growth is based on internal migration and urbanization . |
Other levels of governmental representation It is also the seat of government for the Podlaskie Voivodeship . | It is also the seat of government for the Podlaskie Voivodeship . |
Metropolitan Białystok Metropolitan Białystok was designated by the Voivodeship of the Regulation No. 52\/05 of 16 May 2005 to help develop the region economically . | Metropolitan Białystok was designated by the Voivodeship of the Regulation No. 52\/05 of 16 May 2005 in order to help economically develop the region . |
It is a major city on the European Union roadways ( Via Baltica ) and railways ( Rail Baltica ) to the Baltic Republics and Finland . | It is a major city on the European Union roadways and railways to the Baltic Republics and Finland . |
World War II changed all of this , in 1939 , around 107,000 people lived in Białystok , but in 1946 - only 56,759 , and to this day there is much less ethnic diversity than in the previous 300 years of the city 's history . | 107,000 persons lived in Białystok , but in 1946 - only 56,759 , and to this day there is much less ethnic diversity than in the previous 300 years of the city 's history . |
In the nineteenth century Białystok was an important center for light industry , which was the reason for the substantial growth of the city 's population . | This was the reason for the substantial growth of the city 's population . |
Climate The city has a Warm Summer Continental or Hemiboreal climate ( Dfb ) according to the Köppen climate classification system , characterized by warm temperatures during summer and long and frosty winters . | The city has a Warm Summer Continental climate ( Dfb ) according to the Köppen climate classification system , which is characterized by warm temperatures during summer and long and frosty winters . |
Most other Polish cities have suffered similarly , but the processes in Białystok , have had a particularly intense course . | This activity relates to the fate of most other Polish cities , but the processes in Białystok had a particularly intense course . |
In June 2009 , the population of the city was 294,399 , among cities of Poland , Białystok is second in terms of population density , eleventh in population , and thirteenth in area . | Among cities of Poland , Białystok is second in terms of population density , eleventh in population , and thirteenth in area . |
Districts of Białystok The city of Białystok is divided into 28 administrative units , known in Polish as osiedla . | The city of Białystok is divided into 28 administrative units ( Osiedla ) . |
The Podlaska Cavalry Brigade ( Polish : Podlaska Brygada Kawalerii ) was a military unit of the Polish Army , created on April 1 , 1937 . | The Podlaska Cavalry Brigade was a military unit of the Polish Army , created on April 1 , 1937 . |
Białystok ( ( bʲjaˈwɨstɔk ) ( listen ) ) is the largest city in northeastern Poland and the capital of the Podlaskie Voivodeship . | Białystok is the largest city in northeastern Poland and is the capital of the Podlaskie Voivodeship . |
The city has both professional and amateur sports teams , and a number of venues where they are based . | The city has a number of sports teams , both professional and amateur , and a number of venues across the city . |
The current President of Białystok , elected for his first term in 2006 , is Tadeusz Truskolaski won the elections as the Civic Platform 's candidate , however , he has no official connection with the party . | The current President of Białystok , elected for his first term in 2006 , is Tadeusz Truskolaski . |
Since 1999 it has been the capital of the Podlaskie Voivodeship , Republic of Poland . | Over the course of the last 200 years , the city has been the capital of numerous administrative divisions of a number of countries or occupying powers ; Since 1999 it has been the capital of the Podlaskie Voivodeship , Republic of Poland . |
Mean annual rainfall values oscillate around 580 mm ( 22.8 in ) , and the vegetation period lasts 200 to 210 days . | Mean annual rainfall values oscillate around 550 millimetres ( 21.7 in ) , and the vegetation period lasts 200 to 210 days . |
Roads and highways The National Roads ( Polish : Droga krajowa ) running through Białystok : Airports A civil airport , Białystok-Krywlany Airport , lies within the city limits , but does not provide regularly scheduled service . | A civil airport , Białystok-Krywlany Airport , lies within the city limits , but does not provide regularly scheduled service . |
The 18th Reconnaissance Regiment ( Polish : 18 Pułk Rozpoznawczy ) of the Polish Land Forces is based in Białystok . | The 18th Reconnaissance Regiment of the Polish Land Forces is based in Białystok . |
The city of Białystok has existed for five centuries and during this time the fate of the city has been affected by various political and economic forces . | The city of Białystok has existed for five centuries . During all this time the fate of the city has passed between various political and economic forces . |
Białystok is the largest concentration of Orthodox believers in Poland . | Bialystok is the largest concentration of Orthodox believers in Poland . |
Buses There is an extensive bus network that covers the entire city by three bus services , but no tram or subway exists . | An extensive public transportation system is provided within the city by three bus services , but no tram or subway exists . |
In addition two national papers have local bureaus . | There are two locally published newspapers in addition to two national papers with local bureaus . |
Part of Knyszyn Forest is preserved within the city limits by two nature reserves-a total area of 105 ha ( 260 acres ) . | Within Bialystok , there are two nature reserves with a total area of 105 ha , that are part of the Knyszyn Forest . |
On December 31 , 2001 , as a result of the restructuring of the Armed Forces , the 18th Mechanized Brigade was disbanded and in its place was created the 18th Territorial Defense Battalion . | The heritage of the unit was the former 18th Territorial Defense Battalion and prior to that the former 18th Mechanized Brigade . |
Parks and green spaces Around 32 % of the city is occupied by parks , squares and forest preserves which creates a unique and healthy climate . | Approximately 32 % of the city is occupied by green areas . |
There is also a developed machine industry ( electronics , machinery and metal ) , plastic processing ( production of household appliances ) , textiles ( textiles and upholstery , manufacture of underwear , clothing accessories , footwear and backpacks ) , Wood ( production plywood and furniture ) building materials . | Currently Białystok is a major center for the developed machine industry ( electronics , machinery and metal ) , wood , alcoholic beverages , building materials , glass factory and power generation . |
Council members are elected directly every four years , one of whom is the mayor , or President of Białystok ( Polish : prezydent ) . | The Białystok City Council has 28 elected members , one of whom is the mayor , or President of Białystok , elected every four years . |
The scientific consensus is that birds are a group of theropod dinosaurs that evolved during the Mesozoic Era . | Birds evolved from theropod dinosaurs during the Mesozoic era . |
Abel Tesfaye ( born February 16 , 1990 ) , known by his stage name The Weeknd , is a Canadian PBR&B recording artist and record producer . | Abel Tesfaye ( born February 16 , 1990 ) , known by the stage name The Weeknd is a Canadian singer , DJ and composer . |
On March 21 , 2011 , Tesfaye released the nine-track mixtape House of Balloons for free through his website . | During that summer , Tesfaye released his first album , House Of Balloons to public and critical approval . |
He grew up listening to a variety of music genres , including soul , quiet storm , hip hop , funk , indie rock , and post-punk . | He performs a mixture of R&B , rock and hip hop . |
The Pentateuch , also known as the Five Books of Moses , is the first part of the Hebrew Bible , comprising Genesis , Exodus , Leviticus , Numbers , and Deuteronomy . | These books are Genesis , Exodus , Leviticus , Numbers , and Deuteronomy . |
If insects have access , maggots hatch and begin to feed on the body 's tissues . | If insects lay eggs , maggots hatch and begin to feed on the body 's tissues . |
`` The Ballad of Mona Lisa '' ( commonly referred to as simply `` Mona Lisa '' ) is a song by American rock band Panic ! | The Ballad of Mona Lisa ( shortened as Mona Lisa ) is the lead single off the Panic ! |
DuPont was the world 's third largest chemical company based on market capitalization and ninth based on revenue in 2012 . | DuPont was the world 's third largest chemical company based on market capitalization and ninth based on revenue in 2009 . |
DuPont developed Freon ( chlorofluorocarbons ) for the refrigerant industry , and later more environmentally friendly refrigerants . | DuPont developed Freon ( chlorofluorocarbons ) for the cooling industry and later , more environmentally friendly refrigerants . |
E. I. du Pont de Nemours and Company , commonly referred to as DuPont , is an American chemical company that was founded in July 1802 as a gunpowder mill by Eleuthère Irénée du Pont . | Eleuthère Irénée du Pont founded it in July 1802 as a gunpowder mill . |
These could include the contrast of a word or phrase with its primary , literal meaning ( known as a denotation ) , with what that word or phrase specifically denotes . | Today the word has different meanings , but it is always used for the contrast of a word or phrase with its primary , literal meaning ( known as a denotation ) . |
For his lifetime of activism , the city of San Francisco renamed a section of 16th Street in Sarria 's honor . | The city of San Francisco renamed a section of 16th Street in Sarria 's honor for his lifetime of activism . |
Both they and his mother indulged his early interest in wearing girl 's clothing . | Both they and his mother indulged his early interest in wearing girls ' clothing . |
After living with Parker in Phoenix , Arizona for several years , Sarria returned to San Francisco . | Sarria lived with Parker in Phoenix , Arizona for several years , then returned to San Francisco . |
The pair operated French restaurants at World 's Fairs . | The two operated French restaurants at World 's Fairs . |
Sarria was born to Julio Sarria and Maria Dolores Maldonado . | Sarria was born in San Francisco to Julio Sarria and Maria Dolores Maldonado on December 22 , 1922 . |
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