Wheel theory is the theory of wheels. A wheel is an algebraic structure where division by 0 has meaning. The term "wheel" was inspired by the topological picture formula_1.
A wheel is an algebraic structure satisfying(for all values formula_2, formula_3, and formula_4):
Wheels replace the usual division with a applied to one argument formula_15 similar (but not identical) to the multiplicative inverse formula_16, such that formula_17 becomes shorthand for formula_18. Also, formula_19 replaces the fraction formula_20.
Fundamental theorem of calculus
The fundamental theorem of calculus is central to the study of calculus. It is the theorem that shows the relationship between the derivative and the integral and between the definite integral and the indefinite integral. It is broken into two parts, the first fundamental theorem of calculus and the second fundamental theorem of calculus.
A definition for derivative, definite integral, and indefinite integral (antiderivative) is necessary in understanding the fundamental theorem of calculus. The derivative can be thought of as measuring the change of the value of a variable with respect to another variable. The definite integral is the net area under the curve of a function and above the x-axis over an interval [a,b]. The indefinite integral (antiderivative) of a function f is another function F whose derivative is equal to the first function f.
The history of the fundamental theorem of calculus begins as early as the seventeenth century with Gottfried Wilhelm Leibniz and Isaac Newton. Leibniz looked at integration as the sum of infinite amounts of areas that are accumulated. As such, he references the important concept of area as it relates to the definition of the integral. Isaac Newton used geometry to describe the relationship between acceleration, velocity, and distance. This is key in understanding the relationship between the derivative and the integral; acceleration is the derivative of velocity, which is the derivative of distance, and distance is the antiderivative of velocity, which is the antiderivative of acceleration. In 1823, Cauchy defined the definite integral by the limit definition. Also in the nineteenth century, Siméon Denis Poisson described the definite integral as the difference of the antiderivatives [F(b) − F(a)] at the endpoints a and b, describing what is now the first fundamental theorem of calculus. It wasn’t until the 1950s that all of these concepts were tied together to call the theorem the fundamental theorem of calculus.
The second fundamental theorem of calculus states that if the function f is continuous, then
formula_1
This means that the derivative of the integral of a function f with respect to the variable t over the interval [a,x] is equal to the function f with respect to x. This describes the derivative and integral as inverse processes.
The first fundamental theorem of calculus states that if the function f(x) is continuous, then
formula_2
This means that the definite integral over an interval [a,b] is equal to the antiderivative evaluated at b minus the antiderivative evaluated at a. This gives the relationship between the definite integral and the indefinite integral (antiderivative).
Brent Bowden
Brent Michael Bowden (born May 21, 1987 in Huntsville, Alabama) is an American football Punter that is currently a free agent in the National Football League (NFL). Bowden was drafted out of the Virginia Tech University with the 172nd pick in the sixth round of the 2010 NFL Draft by the Tampa Bay Buccaneers.
Mafia II
Mafia II is the 2010 sequel to "". It was released on August 24, 2010 in North America and August 27, 2010 in the PAL region. The game is set in Empire Bay which is a parody of The Empire State, the nickname for New York in the years 1945 to 1955. "Mafia II" was protested by an Italian-American group because they thought the game was portraying ethnic stereotypes.
A third and become the final series of "Mafia" is "Mafia III", it has been released in 2016.
The Amazing Jeckel Brothers
The Amazing Jeckel Brothers is the fifth studio album by American horrorcore band, Insane Clown Posse. It was released on May 25, 1999. The producers of the album were Insane Clown Posse and Mike E. Clark. The album was the fifth of the "Joker Cards" in the Dark Carnival mythology. The album featured guest vocals such as Ol' Dirty Bastard, Snoop Dogg, The Jerky Boys and Twiztid.
Thomas Morstead
Thomas Morstead (born August 13, 1982 in Pearland, Texas) is an American football punter for the New Orleans Saints of the National Football League (NFL). Morstead was drafted out of Southern Methodist University by the New Orleans Saints with the 164th pick in the fifth round of the 2009 NFL Draft. Morstead won Super Bowl XLIV while part of the New Orleans Saints.
Southwark
Southwark ( ) is the main part of the inner London Borough of Southwark. It is on the Thames, south of London Bridge. It is often called just 'The Borough'. Southwark was once a separate town in Surrey, and was made part of London in 1889.
Southwark has several important buildings: Southwark Cathedral, London Bridge station and the Tate Modern art gallery. Two Roman roads met in Southwark: Watling Street and Stane Street. The area was marshy with islands in Roman times. They built the first London Bridge here.
The word 'Southwark' is pronounced "Suthuk".
London Bridge station
London Bridge station is a major railway and London Underground station in the London Borough of Southwark. It is immediately south-east of London Bridge and 1.6 miles (2.6 km) east of Charing Cross. It is the oldest railway terminus in London, opened in June 1839. There is also a bus station. It is the fourth busiest rail terminal in London. In addition, it is where many commuters transfer between lines.
The mainline station is one of 18 railway stations managed by Network Rail and is a major transport terminus and interchange for south London. Over 54 million people a year use the station.
The underground station is a junction station of two lines, the Jubilee Line and the Bank branch of the Northern Line. All underground platforms are accessed through ticket barriers. The station is in Travelcard Zone 1. It is south of the River Thames, so it does not have a direct connection to the Circle Line.
Watling Street
Watling Street is the name of an ancient route in England. It was first used by the Ancient Britons between Canterbury and St Albans.
Later the Romans made it one of the main Roman roads in Britain. The Romans paved the route from London to the port of Dover, and from London to St Albans. 'Street' comes from the old word for paving. Eventually, the road stretched to Caerwent in Wales on the Severn estuary, just west of Chepstow.
Its route is now covered by the A2 road from Dover to London, and the A5 road from London to Wroxeter (Roman "Viriconium", in modern Shropshire). These are major roads in England, which still exist alongside the modern motorways.
Mancetter on Watling Street is thought to be the site of Boudica's defeat by the Romans. Later, the A5 was part of the southwestern border of the Danelaw. In the early 19th century, the course between London and the Channel was paved and became known as the Great Dover Road. At various points along the historic route, the name Watling Street is still used. JAMES STYLES
Kia Picanto
The Kia Picanto is a car produced by Kia Motors. It replaced the Kia Pride in 2003. The Hyundai i10 is based on the Picanto's platform.
Southwark Cathedral
Southwark Cathedral, in Southwark, London, lies on the south bank of the River Thames close to London Bridge.
It is the mother church of the Anglican Diocese of Southwark. It has been a place of Christian worship for over 1,000 years, but a cathedral only since 1905. The present building is mainly Gothic, from 1220 to 1420.