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Meromorphic function

In the mathematical field of complex analysis, a meromorphic function on an open subset D of the complex plane is a function, holomorphic on all of D except for a set of isolated points, which are poles of the function. The term comes from the Ancient Greek meros, meaning "part"; every meromorphic function on D can be expressed as the ratio between two holomorphic functions defined on D: any pole must coincide with a zero of the denominator. Intuitively, a meromorphic function is a ratio of two well-behaved functions; such a function will still be well-behaved, except at the points where the denominator of the fraction is zero. If the denominator has a zero at z and the numerator does not the value of the function will approach infinity. From an algebraic point of view, if the function's domain is connected the set of meromorphic functions is the field of fractions of the integral domain of the set of holomorphic functions; this is analogous to the relationship between the integers. The field of study where the term is used and the specific meaning of the term changed in the 20th century.

In the 1930s, in group theory, a meromorphic function was a function from a group G into itself that preserved the product on the group. The image of this function was called an automorphism of G. Similarly, a homomorphic function was a function between groups that preserved the product, while a homomorphism was the image of a homomorph; this form of the term is now obsolete, the related term meromorph is no longer used in group theory. The term endomorphism is now used for the function itself, with no special name given to the image of the function. Since the poles of a meromorphic function are isolated, there are at most countably many; the set of poles can be infinite, as exemplified by the function f = csc ⁡ z = 1 sin ⁡ z. By using analytic continuation to eliminate removable singularities, meromorphic functions can be added, subtracted and the quotient f / g can be formed unless g = 0 on a connected component of D. Thus, if D is connected, the meromorphic functions form a field, in fact a field extension of the complex numbers.

In several complex variables, a meromorphic function is defined to be locally a quotient of two holomorphic functions. For example, f = z 1 / z 2 is a meromorphic function on the two-dimensional complex affine space. Here it is no longer true that every meromorphic function can be regarded as a holomorphic function with values in the Riemann sphere: There is a set of "indeterminacy" of codimension two. Unlike in dimension one, in higher dimensions there do exist compact complex manifolds on which there are no non-constant meromorphic functions, for example, most complex tori. All rational functions, for example f = z 3 − 2 z + 10 z 5 + 3 z − 1, are meromorphic on the whole complex plane; the functions f = e z z and f = sin ⁡ z 2 as well as the gamma function and the Riemann zeta function are meromorphic on the whole complex plane. The function f = e 1 z is defined in the whole complex plane except for the origin, 0. However, 0 is not a pole of this function, rather an essential singularity. Thus, this function is not meromorphic in the whole complex plane.

However, it is meromorphic on C ∖. The complex logarithm function f = ln ⁡ is not meromorphic on the whole complex plane, as it cannot be defined on the whole complex plane while only excluding a set of isolated points; the function f = csc ⁡ 1 z = 1 sin ⁡ is not meromorphic in the whole plane, since the point z = 0 is an accumulation point of poles and is thus not an isolated singularity. The function f

Being Boring

"Being Boring" is a song by the British pop group Pet Shop Boys, the opening track from their fourth album Behaviour. As the second single release from the album, following "So Hard", "Being Boring" was not successful upon release, only reaching number twenty in the UK Singles Chart and being the first single released by the group not to get into the Top 10 since "Opportunities" four years previously; the song is concerned with the idea of growing up and how people's perceptions and values change as they grow older. The title materialised after someone in Japan accused the duo of being boring; the title is derived from a Zelda Fitzgerald quotation, "she refused to be bored chiefly because she wasn't boring". Rated by Pet Shop Boy aficionados, in an interview in 1993, Neil Tennant described "Being Boring" as "one of the best songs that we've written", explained that "For me it is a personal song because it's about a friend of mine who died of AIDS, so it's about our lives when we were teenagers and how we moved to London, I suppose me becoming successful and him becoming ill."The track was pieced together in a studio in West Glasgow, where the music for "My October Symphony", "The End of the World" and the unreleased "Love and War" were done.

The track was played in 1990–1991 Brazilian soap opera Meu Bem, Meu Mal. The track was played in an episode of Top Gear from 2001, during the review of the Mazda 626. Pet Shop Boys fans Saint Etienne sampled the album version throughout on'She's the One' from Foxbase Alpha and the Marshall Jefferson Remix throughout on'Archway People' from their b sides compilation You Need a Mess of Help to Stand Alone, having first appeared on the b side to You're in a Bad Way. In spite of the track's moderate commercial success, "Being Boring" has been played at concerts and is considered amongst the greatest, most beautiful Pet Shop Boys songs by fans. Due to various factors, it was not performed on the tour of 1991, Performance; as a result, it was added as an encore late in the tour with the band commenting that it "invariably got the best reception of the night." It has since become a mainstay of their live performances. The video, the first by fashion photographer Bruce Weber in black and white, shows a house party and begins with a nude swimmer and a message: "I came from Newcastle in the North of England.

We used to have lots of parties where everyone got dressed up and on one party invitation was the quote'she was never bored because she was never boring'. The song is about growing up, the ideals that you have when you're young and how they turn out". Due to some brief shots of full male nudity throughout the clip, the video was banned from MTV and relegated to airing on the Playboy Channel; the B side, "We All Feel Better in the Dark" was written around a piece of music Chris Lowe had composed and features him as the lead vocalist. As he explains, "The idea came from a tape I bought from a health food shop round the corner from the studio: The Secrets of Sexual Attraction; the words are terrible. Awful. Embarrassing."The track proved to be a fan favourite and was performed live during their Performance Tour in 1991. The remix 12" includes two mixes of the track by Brothers in Rhythm. "Being Boring" – 4:50 "We All Feel Better in the Dark" – 4:00 "Being Boring" – 10:40 "We All Feel Better in the Dark" – 6:45also available on CD which includes the 7" mix "Being Boring" – 9:05 "We All Feel Better in the Dark" – 5:30 "We All Feel Better in the Dark" – 5:20Tracks 2 and 3 remixed by Brothers in Rhythm Australian singer Merril Bainbridge included a cover of the song on her debut album from 1995, The Garden.

Norwegian power pop band Autopulver covered the song and included it as a bonus track in the Benelux special edition of his album from 1997, F-Words. Swedish Pet Shop Boys tribute synthpop duo, West End Girls, recorded a cover for their album from 2006, Goes Petshopping. Austrian Singer/Songwriter Bernhard Eder included a cover of the song on his album from 2007, "the livingroom sessions"; the following acts have covered the song: A. M. P. Boston Dance Orchestra, David J, East End Boys, Harmony Studio Project, Lloyd Cole, PS Orchestra & Synthesizers, Tove Lo 10 Years of Being Boring Fan website dedicated to every aspect of the song BBC - Sold on Song Highlight on "Being Boring" Lyrics of this song at MetroLyrics

John Hammond (basketball)

John Hammond is an American basketball executive, the general manager of the Orlando Magic of the National Basketball Association. Hammond had been the general manager of the Milwaukee Bucks, as well as the assistant general manager with the Detroit Pistons, where he had worked as an assistant coach, he had been an assistant coach with the Los Angeles Clippers, University of Missouri, University of Nebraska, Houston Baptist University. He is a graduate of Greenville College, he has a daughter named Lauryn Hammond. He is known as the General Manager. On April 24, 2010, it was announced that Hammond had won the annual NBA Executive of the Year Award, the first time a Bucks executive had won the award in the team's history. Hammond was credited with building a Bucks team that went from 34 to 46 victories in one season, including a return to the playoffs for the first time since 2006, he was responsible for several moves he made before the 2009–10 season, such as drafting Brandon Jennings and bringing in veteran John Salmons in a trade.

Both of them played key roles in the Bucks' 2009–10 season. The Bucks had reached the NBA Playoffs three times during Hammond's seven-year tenure as General Manager, yet had failed to win a playoff series. During one of those three playoff appearances, they had a losing regular season record and were swept in the first round, losing each of the four games by an average of 15 points. During Hammond's stewardship the Bucks had posted 240 wins against 318 losses, a winning percentage of.430. The 2013–14 season for the Bucks, the franchise's 46th season, posted a franchise all-time worst record of 15 wins and 67 defeats, a winning percentage of.183, as well as featuring the worst attendance in the NBA. In January 2013, Hammond and Bucks owner Herb Kohl agreed to a three-year contract extension worth $5.5 million. Kohl sold the team in May 2014. On May 23, 2017, it was announced that Hammond would sign a five-year deal to be the new general manager of the Orlando Magic, thus ending his tenure with the Milwaukee Bucks.

Hammond is Bucks' choice bio

Vendor management system

A vendor management system is an Internet-enabled Web-based application that acts as a mechanism for business to manage and procure staffing services – temporary, and, in some cases, permanent placement services – as well as outside contract or contingent labor. Typical features of a VMS application include order distribution, consolidated billing and significant enhancements in reporting capability that outperforms manual systems and processes. In the financial industry due to recent regulations, vendor management implies consistent risk classification and due diligence to manage third-party risk. A number of institutions have re-classified or renamed their programs to Third Party Risk Management to align with the verbiage used by the regulatory agencies; the contingent workforce is a provisional group of workers who work for an organization on a non-permanent basis known as freelancers, independent professionals, temporary contract workers, independent contractors or consultants. VMS is a type of contingent workforce management.

There are several other terms associated with VMS which are all relevant to the contingent workforce, or staffing industry. A vendor is a organization that vends or sells contingent labor. A vendor can be an independent consultant, a consulting company, or staffing company. A VOP, or Vendor On Premises, is a vendor, they are concerned with filling the labor requirements of the client. The VOP does this either by sourcing labor directly from themselves or from other suppliers with whom they may be competing; the VOP manages and coordinates this labor for the client. A MSP, or Managed Service Provider, manages vendors and measure their effectiveness in recruiting according to the client's standards and requirements. MSPs do not recruit directly, but try to find the best suppliers of vendors according to the client's requirements. This, in essence, makes the MSP more neutral than a VOP in finding talent because they themselves do not provide the labor. VMS is a tool a computer program, that distributes job requirements to staffing companies, consulting companies, other vendors.

It facilitates the interview and hire process, as well as labor time collection approval and payment. A CSM, or Contracted Service Management System, is a tool which interfaces with the Access Control Systems of large refineries and manufacturing facilities and the ERP system in order to capture the real-time hours/data between contractors and client; this type of system will involve a collaborative effort between the contractor and facility owner to simplify the timekeeping process and improve project cost visibility. An EOR, or Employer of Record, is designed to facilitate all components of independent contractor management, including classification and compliance reviews. Employer of Records help drive down the risk of co-employment and allow enterprises to engage and manage independent contractors without the stress of government audits or tax liabilities. VMS is a recent advancement in managing contingent labor spend. VMS is an evolution of the Master Service Provider / Vendor-On-Premises concept, which became more prevalent in the late-1980s to the mid-1990s when larger enterprises began looking for ways to reduce outsourcing costs.

An MSP or VOP was a master vendor, responsible for on-site management of their customer’s temporary help / contract worker needs. In keeping with the BPO concept, the master vendor enters into subcontractor agreements with approved staffing agencies, it is noteworthy to mention that VMS started to evolve around the time Michael Hammer and James Champy's Reengineering the Corporation became a bestseller. Large enterprises were looking for ways to compete in the global economy; the main advantage for U. S. businesses during this time period was that their purchasing departments were able to channel new contract personnel requisitions to one source – the VOP – and, in turn, reduce procurement costs by simplifying their payment process. In effect, they only had to write a check to one vendor vis-à-vis hundreds of suppliers. With the Internet came new ways of doing business, which included electronic payment. According to Staffing Industry Analysts, Inc. the emergence of eBusiness, B2B, E-Procurement et al. was the catalyst that began the VMS industry.

As businesses began to integrate this e-business concept, online auctions began to appear. The value proposition was, they claimed, that they could reduce spend for purchasing office suppliers, industrial suppliers and other commodities by putting these purchase requests out for bid via an online auction. In 1993, one such company recognized the contingent labor spend management niche as an immense opportunity – Geometric Results Inc.. At its origin, GRI was a wholly owned Ford Motor Company subsidiary and it was GRI who developed one of the first significant VMS applications in the industry, PeopleNet. Starting out as a manual process, some system automation was introduced in 1995. A year PeopleNet became an automated VMS system. Overall, GRI managed nearly $200 million in spend at Ford. In 1997, MSX International purchased GRI and continued its growth in the marketplace offering a vendor neutral VMS for automotive industry. MSXI launched a new proprietary Internet software - b2bBuyer, the program continued to grow with the expansion of MSXI's European operations.

Their success is achieved through best in

Loomis-Pomeroy House

The Loomis-Pomeroy House is a historic house at 1747 Boston Turnpike in Coventry, Connecticut. Built about 1833, it is a fine local example of transitional Federal-Greek Revival architecture, with important family associations in local history; the house was listed on the National Register of Historic Places in 1994. The Loomis-Pomeroy House is located in what has been called the village of North Coventry, on the south side of US 44, west of its junction with Main Street. US 44 is in this area part of the historic Boston Post Road, the cluster of buildings making up the village includes the Second Congregational Church, directly across the street from the house; the house is a predominantly brick structure, its main block a 2-1/2 story structure, three bays wide, with an attached ell with a brick and clapboard exterior. The house was on a 100-acre farm, this has been reduced over time to 3.8 acres, which includes the house, a barn, an ice house, a privy. The main block was built c. 1833, with the ell older.

A building is referenced on the property in an 1823 deed, which may have been the ell, thought to have served as overflow housing for a nearby tavern operated by the Pomeroy family. The Pomeroys established the tavern in 1801, next to the church, whose congregation was established in 1745. Eleazer Pomeroy, in addition to operating the tavern ran stagecoaches, had acquired a large amount of land in the area by 1828, he is believed to be the builder of this house, sold to his son George in 1843. In 1881 the property was purchased by James Otis Freeman, whose descendants, retained ownership until the 1980s. National Register of Historic Places listings in Tolland County, Connecticut

Fast fuel system

A Fast fuel system allows speedy refuelling of vehicles. Most large earthmoving and mining vehicles with diesel fuel tanks over 150 US gallons are equipped with fast refueling systems. Fast refueling systems utilize an automatic shut off fuel nozzle and level control device. Fast refuel systems operate by connection of a fill nozzle to the vehicle's fuel tank and a source mounted pump delivers fuel into the tank at rates up to 150 US gallons per minute. Fast fill systems in general allow for ground level refueling and automatic shut-off upon a full tank. Ground level refueling increases operator safety as climbing onto vehicles during refueling is not necessary as the fill point receiver may be located in a location on the vehicle, accessed. Pressurized refuel systems were developed in the 1950s and installed on all large vehicles. Caterpillar introduced a non-pressurized refueling system in 1998 on the Caterpillar D11 track type tractor replacing the original pressurized system. Pressurized refuel systems operate via sealing the fuel tank at the appropriate fill point thus creating internal pressure.

The automatic shut off nozzle shuts off when pressure in the fuel system reaches greater. Due to the pressure introduced into the fuel tank, most tanks require additional structure to prevent bursting or damaged weld joints. Non-pressure refuel systems operate via a closed loop system where all pressure is contained interior to signal lines, level control, a shut-off valve; when the fuel tank fill point is reached, a bleed line signal is closed and back pressure is applied to a diaphragm valve at the fuel entry point. Due to differential pressure and an internal spring, the diaphragm is forced closed and cannot be overfilled. Non-pressurized refueling systems do not require tank pressurization for automatic nozzle shut-off, thus allowing their use on thin-walled metallic and composite material fuel tanks. Non-pressurized refuel systems reduce fuel spills and provided more accurate filling when used with automatic refuelling nozzles; the system is designed to prevent overfilling or manual override of the fueling system.

David Juleff of Shaw Development, LLC was the design engineer that tailored an aerospace non-pressurized refuel system to be first introduced on the Caterpillar D11 track type tractor in 1998. A number of non pressure fueling systems are available in OEM and retrofit applications from FloMeg, Shaw Development, Hydrau-Flo®, FastFillSystems and othersNon-pressurized refueling systems meet European directive 97/23/EC which permits their use in the European Union as any tank pressurization during refuel is less than 7.3 psi. Installation procedures for non-pressurized fast fill systems are documented in Fast Fill Fueling Installation for Off-Road Self-Propelled Work Machines SAE J176. Proper installation is important to maintain operator safety and proper functionality of the system. Diesel Fast Fill Safety is paramount and discussed in more detail in The Diesel Safety Bulletin