This article includes a list of references, related reading or external links, but its sources remain unclear because it lacks inline citations. Please improve this article by introducing more precise citations. (March 2010)

In vector calculus, del is a vector differential operator, usually represented by the nabla symbol ∇. When applied to a function defined on a one-dimensional domain, it denotes its standard derivative as defined in calculus. When applied to a field (a function defined on a multi-dimensional domain), del may denote the gradient (locally steepest slope) of a scalar field, the divergence of a vector field, or the curl (rotation) of a vector field, depending on the way it is applied.

Strictly speaking, del is not a specific operator, but rather a convenient mathematical notation for those three operators, that makes many equations easier to write and remember. The del symbol can be interpreted as a vector of partial derivative operators, and its three possible meanings—gradient, divergence, and curl—can be formally viewed as the product of scalars, dot product, and cross product, respectively, of the del "operator" with the field. These formal products do not necessarily commute with other operators or products.

Definition[link]

In the three-dimensional Cartesian coordinate system R³ with coordinates (x, y, z), del is defined in terms of partial derivative operators as

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla = \mathbf{\hat{x}} {\partial \over \partial x} + \mathbf{\hat{y}} {\partial \over \partial y} + \mathbf{\hat{z}} {\partial \over \partial z}

where Failed to parse (Missing texvc executable; please see math/README to configure.): \{\mathbf{\hat{x}}, \mathbf{\hat{y}},\mathbf{\hat{z}} \}

are the unit vectors in their respective directions.

Though this page chiefly treats del in three dimensions, this definition can be generalized to the n-dimensional Euclidean space Rⁿ. In the Cartesian coordinate system with coordinates (x₁, x₂, ..., x_n), del is:

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla = \sum_{i=1}^n \hat e^i {\partial \over \partial x_i}

where Failed to parse (Missing texvc executable; please see math/README to configure.): \{ \hat e^i: 1\leq i\leq n\}

is the standard basis in this space.

More compactly, using the Einstein summation notation, del is written as

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla = \hat e^i \,\partial_i

Del can also be expressed in other coordinate systems, see for example del in cylindrical and spherical coordinates.

Notational uses[link]

Del is used as a shorthand form to simplify many long mathematical expressions. It is most commonly used to simplify expressions for the gradient, divergence, curl, directional derivative, and Laplacian.

Gradient[link]

The vector derivative of a scalar field f is called the gradient, and it can be represented as:

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla f = {\partial f \over \partial x} \mathbf{\hat{x}} + {\partial f \over \partial y} \mathbf{\hat{y}} + {\partial f \over \partial z} \mathbf{\hat{z}}

It always points in the direction of greatest increase of f, and it has a magnitude equal to the maximum rate of increase at the point—just like a standard derivative. In particular, if a hill is defined as a height function over a plane h(x,y), the 2d projection of the gradient at a given location will be a vector in the xy-plane (sort of like an arrow on a map) pointing along the steepest direction. The magnitude of the gradient is the value of this steepest slope.

In particular, this notation is powerful because the gradient product rule looks very similar to the 1d-derivative case:

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla(f g) = f \nabla g + g \nabla f

However, the rules for dot products do not turn out to be simple, as illustrated by:

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla (\vec u \cdot \vec v) = (\vec u \cdot \nabla) \vec v + (\vec v \cdot \nabla) \vec u + \vec u \times (\nabla \times \vec v) + \vec v \times (\nabla \times \vec u)

Divergence[link]

The divergence of a vector field Failed to parse (Missing texvc executable; please see math/README to configure.): \vec{v}(x, y, z) = v_x \mathbf{\hat{x}} + v_y \mathbf{\hat{y}} + v_z \mathbf{\hat{z}}

is a scalar function that can be represented as:

Failed to parse (Missing texvc executable; please see math/README to configure.): \mbox{div}\,\vec v = {\partial v_x \over \partial x} + {\partial v_y \over \partial y} + {\partial v_z \over \partial z} = \nabla \cdot \vec v

The divergence is roughly a measure of a vector field's increase in the direction it points; but more accurately, it is a measure of that field's tendency to converge toward or repel from a point.

The power of the del notation is shown by the following product rule:

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla \cdot (f \vec v) = f \nabla \cdot \vec v + \vec v \cdot \nabla f

The formula for the vector product is slightly less intuitive, because this product is not commutative:

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla \cdot (\vec u \times \vec v) = \vec v \cdot \nabla \times \vec u - \vec u \cdot \nabla \times \vec v

Curl[link]

The curl of a vector field Failed to parse (Missing texvc executable; please see math/README to configure.): \vec{v}(x, y, z) = v_x\mathbf{\hat{x}} + v_y\mathbf{\hat{y}} + v_z\mathbf{\hat{z}}

is a vector function that can be represented as:

Failed to parse (Missing texvc executable; please see math/README to configure.): \mbox{curl}\;\vec v = \left( {\partial v_z \over \partial y} - {\partial v_y \over \partial z} \right) \mathbf{\hat{x}} + \left( {\partial v_x \over \partial z} - {\partial v_z \over \partial x} \right) \mathbf{\hat{y}} + \left( {\partial v_y \over \partial x} - {\partial v_x \over \partial y} \right) \mathbf{\hat{z}} = \nabla \times \vec v

The curl at a point is proportional to the on-axis torque to which a tiny pinwheel would be subjected if it were centered at that point.

The vector product operation can be visualized as a pseudo-determinant:

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla \times \vec v = \left|\begin{matrix} \mathbf{\hat{x}} & \mathbf{\hat{y}} & \mathbf{\hat{z}} \\[2pt] {\frac{\partial}{\partial x}} & {\frac{\partial}{\partial y}} & {\frac{\partial}{\partial z}} \\[2pt] v_x & v_y & v_z \end{matrix}\right|

Again the power of the notation is shown by the product rule:

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla \times (f \vec v) = (\nabla f) \times \vec v + f \nabla \times \vec v

Unfortunately the rule for the vector product does not turn out to be simple:

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla \times (\vec u \times \vec v) = \vec u \, \nabla \cdot \vec v - \vec v \, \nabla \cdot \vec u + (\vec v \cdot \nabla) \vec u - (\vec u \cdot \nabla) \vec v

Directional derivative[link]

The directional derivative of a scalar field f(x,y,z) in the direction Failed to parse (Missing texvc executable; please see math/README to configure.): \vec{a}(x,y,z) = a_x \mathbf{\hat{x}} + a_y \mathbf{\hat{y}} + a_z \mathbf{\hat{z}}

is defined as:

Failed to parse (Missing texvc executable; please see math/README to configure.): \vec{a}\cdot\mbox{grad}\,f = a_x {\partial f \over \partial x} + a_y {\partial f \over \partial y} + a_z {\partial f \over \partial z} = (\vec a \cdot \nabla) f

This gives the change of a field f in the direction of a. In operator notation, the element in parentheses can be considered a single coherent unit; fluid dynamics uses this convention extensively, terming it the convective derivative—the "moving" derivative of the fluid.

Laplacian[link]

The Laplace operator is a scalar operator that can be applied to either vector or scalar fields; it is defined as:

Failed to parse (Missing texvc executable; please see math/README to configure.): \Delta = {\partial^2 \over \partial x^2} + {\partial^2 \over \partial y^2} + {\partial^2 \over \partial z^2} = \nabla \cdot \nabla = \nabla^2

The Laplacian is ubiquitous throughout modern mathematical physics, appearing in Laplace's equation, Poisson's equation, the heat equation, the wave equation, and the Schrödinger equation—to name a few.

Tensor derivative[link]

Del can also be applied to a vector field with the result being a tensor. The tensor derivative of a vector field Failed to parse (Missing texvc executable; please see math/README to configure.): \vec{v}

is a 9-term second-rank tensor, but can be denoted simply as Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla \otimes \vec{v}

, where Failed to parse (Missing texvc executable; please see math/README to configure.): \otimes

represents the dyadic product. This quantity is equivalent to the transpose of the Jacobian matrix of the vector field with respect to space.

For a small displacement Failed to parse (Missing texvc executable; please see math/README to configure.): \delta \vec{r} , the change in the vector field is given by:

Failed to parse (Missing texvc executable; please see math/README to configure.): \delta \vec{v} = (\nabla \otimes \vec{v}) \sdot \delta \vec{r}

Second derivatives[link]

DCG chart: A simple chart depicting all rules pertaining to second derivatives. D, C, G, L and CC stand for divergence, curl, gradient, Laplacian and curl of curl, respectively. Arrows indicate existence of second derivatives. Blue circle in the middle represents curl of curl, whereas the other two red circles(dashed) mean that DD and GG do not exist.

When del operates on a scalar or vector, generally a scalar or vector is returned. Because of the diversity of vector products (scalar, dot, cross) one application of del already gives rise to three major derivatives: the gradient (scalar product), divergence (dot product), and curl (cross product). Applying these three sorts of derivatives again to each other gives five possible second derivatives, for a scalar field f or a vector field v; the use of the scalar Laplacian and vector Laplacian gives two more:

Failed to parse (Missing texvc executable; please see math/README to configure.): \mbox{div}\,(\mbox{grad}\,f ) = \nabla \cdot (\nabla f)

Failed to parse (Missing texvc executable; please see math/README to configure.): \mbox{curl}\,(\mbox{grad}\,f ) = \nabla \times (\nabla f)

Failed to parse (Missing texvc executable; please see math/README to configure.): \Delta f = \nabla^2 f

Failed to parse (Missing texvc executable; please see math/README to configure.): \mbox{grad}\,(\mbox{div}\, \vec v ) = \nabla (\nabla \cdot \vec v)

Failed to parse (Missing texvc executable; please see math/README to configure.): \mbox{div}\,(\mbox{curl}\,\vec v ) = \nabla \cdot (\nabla \times \vec v)

Failed to parse (Missing texvc executable; please see math/README to configure.): \mbox{curl}\,(\mbox{curl}\,\vec v ) = \nabla \times (\nabla \times \vec v)

Failed to parse (Missing texvc executable; please see math/README to configure.): \Delta \vec v = \nabla^2 \vec v

These are of interest principally because they are not always unique or independent of each other. As long as the functions are well-behaved, two of them are always zero:

Failed to parse (Missing texvc executable; please see math/README to configure.): \mbox{curl}\,(\mbox{grad}\,f ) = \nabla \times (\nabla f) = 0

Failed to parse (Missing texvc executable; please see math/README to configure.): \mbox{div}\,(\mbox{curl}\,\vec v ) = \nabla \cdot \nabla \times \vec{v} = 0

Two of them are always equal:

Failed to parse (Missing texvc executable; please see math/README to configure.): \mbox{div}\,(\mbox{grad}\,f ) = \nabla \cdot (\nabla f) = \nabla^2 f = \Delta f

The 3 remaining vector derivatives are related by the equation:

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla \times \nabla \times \vec{v} = \nabla (\nabla \cdot \vec{v}) - \nabla^2 \vec{v}

And one of them can even be expressed with the tensor product, if the functions are well-behaved:

Failed to parse (Missing texvc executable; please see math/README to configure.): \nabla ( \nabla \cdot \vec{v} ) = \nabla \cdot (\nabla \otimes \vec{v})

Precautions[link]

Most of the above vector properties (except for those that rely explicitly on del's differential properties—for example, the product rule) rely only on symbol rearrangement, and must necessarily hold if del is replaced by any other vector. This is part of the tremendous value gained in representing this operator as a vector in its own right.

Though you can often replace del with a vector and obtain a vector identity, making those identities intuitive, the reverse is not necessarily reliable, because del does not often commute.

A counterexample that relies on del's failure to commute:

Failed to parse (Missing texvc executable; please see math/README to configure.): (\mathbf u \cdot \mathbf v) f = (\mathbf v \cdot \mathbf u) f

Failed to parse (Missing texvc executable; please see math/README to configure.): (\nabla \cdot \mathbf v) f \ne (\mathbf v \cdot \nabla) f

Failed to parse (Missing texvc executable; please see math/README to configure.): (\nabla \cdot \mathbf v) f = (\frac{\part v_x}{\part x}+\frac{\part v_y}{\part y}+\frac{\part v_z}{\part z})f =

Failed to parse (Missing texvc executable; please see math/README to configure.): = \frac{\part v_x}{\part x}f+\frac{\part v_y}{\part y}f+\frac{\part v_z}{\part z}f

Failed to parse (Missing texvc executable; please see math/README to configure.): (\mathbf v \cdot \nabla) f = (v_x \frac{\part}{\part x}+v_y \frac{\part}{\part y}+v_z \frac{\part}{\part z})f =

Failed to parse (Missing texvc executable; please see math/README to configure.): = v_x \frac{\part f}{\part x}+v_y \frac{\part f}{\part y}+v_z \frac{\part f}{\part z}

A counterexample that relies on del's differential properties:

Failed to parse (Missing texvc executable; please see math/README to configure.): (\nabla x) \times (\nabla y) = (\mathbf{\hat x} \frac{\part x}{\part x}+\mathbf{\hat y} \frac{\part x}{\part y}+\mathbf{\hat z} \frac{\part x}{\part z}) \times (\mathbf{\hat x} \frac{\part y}{\part x}+\mathbf{\hat y} \frac{\part y}{\part y}+\mathbf{\hat z} \frac{\part y}{\part z}) =

Failed to parse (Missing texvc executable; please see math/README to configure.): = (\mathbf{\hat x} \cdot 1 +\mathbf{\hat y} \cdot 0+\mathbf{\hat z} \cdot 0) \times (\mathbf{\hat x} \cdot 0+\mathbf{\hat y} \cdot 1+\mathbf{\hat z} \cdot 0) =

Failed to parse (Missing texvc executable; please see math/README to configure.): = \mathbf{\hat x} \times \mathbf{\hat y} = \mathbf{\hat z}

Failed to parse (Missing texvc executable; please see math/README to configure.): (\mathbf u x )\times (\mathbf u y) = x y (\mathbf u \times \mathbf u) = x y \mathbf 0 = \mathbf 0

Central to these distinctions is the fact that del is not simply a vector; it is a vector operator. Whereas a vector is an object with both a precise numerical magnitude and direction, del does not have a precise value for either until it is allowed to operate on something.

For that reason, identities involving del must be derived with care, using both vector identities and differentiation identities such as the product rule.

See also[link]

• Del in cylindrical and spherical coordinates
• Maxwell's equations
• Navier–Stokes equations
• Table of mathematical symbols
• Vector calculus identities

References[link]

• Schey, H. M. (1997). Div, Grad, Curl, and All That: An Informal Text on Vector Calculus. New York: Norton. ISBN 0-393-96997-5. 
• Miller, Jeff. "Earliest Uses of Symbols of Calculus". http://jeff560.tripod.com/calculus.html. 
• "History of Nabla". netlib.org. January 26, 1998. http://www.netlib.org/na-digest-html/98/v98n03.html#2. 

External links[link]

• A survey of the improper use of ∇ in vector analysis (1994) Tai, Chen

Lana Del Rey
Del Rey at a promotional event in Seattle
Background information
Birth name	Elizabeth Woolridge Grant
Also known as	Lizzy Grant Lana Rey Del Mar May Jailer
Born	(1986-06-21) June 21, 1986 (age 26)[1] New York City, New York, United States
Origin	Lake Placid, New York, United States
Genres	Indie pop,[2] adult alternative,[2] chamber pop,[3] sadcore[4]
Occupations	Singer-songwriter, fashion model
Instruments	Vocals, guitar[5]
Years active	2007–present
Labels	Interscope, Polydor, Stranger
Website	lanadelrey.com

Elizabeth Woolridge Grant^[6] (born June 21, 1986), better known by her stage name Lana Del Rey, is an American singer-songwriter. Raised in upstate New York, Del Rey moved to New York City at age eighteen, where she attended college and began writing music and performing in clubs.

In 2008, Del Rey contracted with an independent label and recorded a self-titled debut album which was briefly available on iTunes in 2010; Del Rey ultimately bought back the rights to the album and it was withdrawn soon after.

In June 2011, she released the song "Video Games" on the Internet, accompanied by a self-made music video that went viral in the following months. The song was later released as a single in October, leading up to Del Rey's major-label debut album, Born to Die, which was released on January 31, 2012 through Interscope Records. Born to Die debuted at number one in seven countries, including the United Kingdom^[7] and Australia. The album has spawned two worldwide top 10 hits: "Video Games" and "Born to Die".

Del Rey's music has been noted for its cinematic sound and its references to various aspects of pop culture, particularly that of 1950s and '60s Americana.^[8] Del Rey has been described as a "self-styled gangsta Nancy Sinatra",^[9] and cites Britney Spears,^[10][11][12] Eminem,^[13][10] and Antony and the Johnsons amongst her musical influences.^[10]

Biography[link]

Early years[link]

Del Rey was born Elizabeth Grant in New York City and grew up in Lake Placid, New York.^[14][15] When she was 14, she attended Kent School, a boarding school in Connecticut.^[16][17] She has Scottish ancestry, and is the daughter of domain investor Rob Grant, who supported her in her early career as a singer.^{[18][19][20][21]} Del Rey attended Fordham University in New York City, studying philosophy.^[22]

At age 18, her uncle taught her how to play guitar, beginning with basic chords: "It was G, C, A, D minor, A minor and some diminished chord as well. Some trick, some shortcut," Del Rey recalled. "I realized I could probably write a million songs with those six chords, so I moved to New York and I took a couple of years to just write whatever I wanted."^[5] She began performing in clubs while living in the city.

Her stage name was discussed in a Vogue interview, in which she said, "I wanted a name I could shape the music towards [...] I was going to Miami quite a lot at the time, speaking a lot of Spanish with my friends from Cuba – Lana Del Rey reminded us of the glamour of the seaside. It sounded gorgeous coming off the tip of the tongue."^[23] The name is reportedly an amalgam of the actress Lana Turner, and the 1980's automobile Ford Del Rey. ^[24]

"I wanted to be part of a high-class scene of musicians. It was half-inspired because I didn't have many friends, and I was hoping that I would meet people and fall in love and start a community around me, the way they used to do in the '60s."^[25]

Del Rey first released a three-track EP titled Kill Kill in October 2008 under the name Lizzy Grant, featuring the tracks "Kill Kill", "Yayo" and "Gramma (Blue Ribbon Sparkler Trailer Heaven)".^[26]

[edit] 2010: Lana Del Ray A.K.A. Lizzy Grant

Del Rey later released her first full-length studio album titled Lana Del Ray A.K.A. Lizzy Grant [sic] in January 2010.^[27] It was the singer's first professionally produced album, released under Lizzy Grant on an independent label with producer David Kahne.^[28] Del Rey stated that "David asked to work with me only a day after he got my demo. He is known as a producer with a lot of integrity and who had an interest in making music that wasn't just pop."^[29] Her father, Robert Grant, helped with the marketing of the album,^[30] which was available for purchase on iTunes for a brief period before being withdrawn. According to David Kahne, who produced Grant, Grant bought the rights back from her label, 5 Points, as she wanted it out of circulation to "…stifle future opportunities to distribute it – an echo of rumors that the action was part of a calculated strategy."^[31]

[edit] 2011–present: Born to Die

Lana Del Rey performing at Paradiso, Amsterdam.

Later in June 2011, Del Rey was signed with Stranger Records,^[32] to release her debut single "Video Games";^[32] in October 2011, she signed a joint deal with Interscope Records and Polydor.^{[5][33][34][35]} In October 2011, she won the Q award for "Next Big Thing". Del Rey's song "Video Games" was featured for the first time on The CW's TV-Series Ringer on September 27, 2011.^[36] Del Rey also promoted the album in a number of live appearances, including a show at the Bowery Ballroom, where, according to Eliot Glazer of New York, "the polarizing indie hipstress brought her 'gangsta Nancy Sinatra' swagu."^[37] Rolling Stone commented that, despite Del Rey being nervous and anxious while performing her songs live, she "sang with considerable confidence", although they noted that "her transitions ...could be rather jarring."^[38] Del Rey also performed "Video Games" on Dutch television program De Wereld Draait Door,^[39] on British music television show Later... with Jools Holland,^[40] and on an intimate show at Chateau Marmont in West Hollywood, California.^[41]

Born to Die was released on January 27, 2012 in Ireland,^[42] January 30, 2012, in the UK, and on January 31, 2012 worldwide.^[43]

Del Rey performed two songs on Saturday Night Live on January 14, 2012 to a warm reception from the audience, but mixed reviews from critics and the general public. NBC Nightly News anchor Brian Williams called Del Rey's performance "one of the worst outings in SNL history". Del Rey's performance was defended by the evening's program guest host, actor Daniel Radcliffe, despite not having seen her performance.^[44] He said in part: "It was unfortunate that people seemed to turn on her so quickly [...] I don't think [the performance] warranted anywhere near that reaction." Del Rey had earlier defended her spot on the program, saying: "I'm a good musician [...] I have been singing for a long time, and I think that [SNL creator] Lorne Michaels knows that [...] it's not a fluke decision."^[45] On February 4, 2012, Kristen Wiig appeared on the Weekend Update segment on Saturday Night Live parodying Del Rey and poking fun at the backlash.

The second single and title track "Born to Die" was released on December 3, 2011.^[46] The music video for it leaked on December 14, 2011,^[47] and was based on a concept created by the singer, while being directed by Yoann Lemoine.^[48]

In January 2012, Del Rey revealed that she recently bought back the rights to her 2010 album Lana Del Ray A.K.A. Lizzy Grant and will re-release it in the summer of 2012 under Interscope Records and Polydor.^[49] Contrary to Grant's press statement, her previous label (5 Point Records), and producer David Kahne have both stated that she bought the rights to the album when she and the label parted company, due to the offer of a new deal, in April 2010.^[50][51] On January 4, 2012, it was reported she had signed a deal with NEXT Model Management agency.^[52] In May 2012, Del Rey confirmed the song "National Anthem" as the fourth single from her album Born to Die. ^{[53] [54]} On May 30th, 2012, Del Rey's supposed debut album "Sirens" was leaked online under the name "May Jailer". The 15 track album includes the previously leaked song "A Star for Nick."

Artistry[link]

Music

She has been described as a "self-styled gangsta Nancy Sinatra",^[9] Del Rey is known to write and produce most of her own material and covers genres from Hip-Hop and Indie. Having first been discovered from posting viral videos of herself singing on the internet she quickly grew a significant fan base. She has been noted for using her allure to the celebrity lifestyle as an inspiration in itself, whilst at the same time maintaining an aura of mystique, this has reflected in the melodies and vocals she produces. Her sound as well as her videography has been described as eccentric, over the top and at times wild. However Noah Levy, senior news editor at In Touch Weekly magazine noted that her dedication and talent is undeniable, quoted as saying "I think she cares about the art that she is creating. I don't think that is fake at all."^[55]

Voice

Del Rey possesses a wide^[56] contralto vocal range,^{[57][58][59][60]} which has been described as unique, captivating and highly emotive,^[60] being able to transcend from sounding high and girlish in her timbre, down to a low and jazzy sound with great ease, although both these areas of the voice can be conflicting in their sound and polarise opinion.^[57]

When recording in the studio Del Rey is known for vocal multi layering, double tracking and overlays which has it has been noted is difficult for her to replicate within a live setting, especially with the lack of backing singers to fill out the original vocal style.^[59].

Influences

Del Rey cites Britney Spears,^[11][12] Elvis Presley, Antony and the Johnsons, Frank Sinatra ^[13] and Eminem amongst her musical influences. "[I really] just like the masters of every genre", she told BBC journalist Jo Whiley.^[61]

Discography[link]

Albums[link]

• Lana Del Ray A.K.A. Lizzy Grant (2010)
• Born To Die (2012)

Awards and nominations[link]

References[link]

External links[link]

Wikimedia Commons has media related to: Lana Del Rey

• Official website
• Lana Del Rey at the Internet Movie Database
• Lana Del Rey talks influences with BEAT

Cedric Gervais (French Cédric Gervais, born June 15 1980 in Marseille) is a French-born American house music DJ and producer, living in Miami, Florida.^[1][2] He was the youngest resident ever at Paris's Le Queen Club. In 1998, he moved to America's South Beach. In Miami, he held residencies at Crobar (now Cameo) and the famous Nikki Beach, before taking over the Club Space Terrace. His first single, "Burning", was with Ultra Records. In 2006, his debut album The Experiment, featured the single "Spirit in My Life", also on Ultra Records.^[3] His production credits include working with Lenny Kravitz, Deep Dish, Steve Lawler, and Rachel Star, among others.

His single "Mauri’s Dream", from 2009, was Pete Tong’s Essential Tune of the Week three weeks in a row. In 2011, Gervais released his second album, titled Miamication.^[4]

Gervais also has two record labels of his own, Sleaze and Sleaze Industries.^[5]

Selected discography[link]

Albums

• 2006: Experiment Ultra Records
• 2011: Miamication Ultra Records

Singles

• 2001: Burning Ultra Records
• 2002: Cedric Gervais & Maurizio Ruggiero pres. 440 Central -Talking About The Revolution [Hydrogen Records]
• 2003: Cedric Gervais Featuring Christy Prais - Let's Keep It Real Ultra Records
• 2004: Cedric Gervais And DJ Pedro Pres. French Sleaze -Chemical Reaction [Sleaze Industries]
• 2005: The Experiment EP Ultra Records
• 2007: Spirit In My Life Vendetta Records
• 2009: Mauri's Dream Ultra Records
• 2009: No Offense [Sleaze Industries]
• 2009: Disclaimer Ultra Records
• 2010: Leave Me Alone Ultra Records
• 2011: Where Ever U Are Ultra Records
• 2011: Love Is the Answer Ultra Records
• 2012: Molly Spinnin Records

DJ Mix CDs

• 2003: The House Sessions Sunswept Music
• 2007: Yoshitoshi Miami Yoshitoshi Recordings
• 2008: Yoshitoshi Space Miami Terrace Yoshitoshi Recordings

References[link]

External links[link]

• Official website
• Cedric Gervais discography at Discogs
• Cedric Gervais discography at MusicBrainz
• Cedric Gervais at Soundcloud

This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. (May 2009)

Pete Tong
Pete Tong at Glastonbury in 2009
Background information
Birth name	Peter Tong
Born	(1960-07-31) July 31, 1960 (age 51) Dartford, Kent, England
Genres	Electronica, Balearic beat, house
Occupations	Disc jockey, music producer
Website	petetong.com

Peter "Pete" Tong (born July 30, 1960) is an English DJ who works for BBC Radio 1. He is the host of programmes such as Essential Mix and Essential Selection on the radio service, which can be heard through Internet radio streams, for his record label FFRR Records, and for his own performances at nightclubs and music festivals. Tong has worked as a record producer and is known by the nickname of Lord of the Dance.

The phrase "It's all gone Pete Tong", where the name is used as rhyming slang for "wrong", was reputedly first coined by Paul Oakenfold in late 1987 in an article about acid house called "Bermondsey Goes Balearic" for Terry Farley and Pete Heller's Boys Own fanzine. It's All Gone Pete Tong is also the title of a 2004 film which portrays a fictional DJ's experiences as he realizes he is becoming deaf. Tong appears briefly in the film. It is also the name Tong has adopted for his club night at the nightclub Pacha in Ibiza.

In 2008 he was involved with the founding of the International Music Summit in Ibiza.

Early years[link]

Pete Tong was born in Dartford, Kent in July 1960 and was educated at King's School, Rochester, Kent.

Tong's original musical interest was in drumming, but he soon moved on to DJing. He played his first public gig at a friend's wedding at age 15. While at school he and a couple of friends earned some extra money by promoting a couple of local bands, booking halls for gigs etc. He also worked as part of the Kent "Soul Mafia" bringing soul weekenders to seaside towns like Caister-on-Sea and Prestatyn. Tong was heavily influenced by the late DJ Froggy in his early years and most of Tong's success is down to Froggy's originality in style of record mixing presentation.

Initially after leaving school he set up a mobile disco based in a transit van, but he soon started his own club in Baker Street called Family Function. He also booked bands for an alternative night, the first of which was the then unknown Culture Club. Later he became DJ/Promoter at the Kings Lodge club in West Kingsdown and quickly gained a faithful following, who were prepared to travel from far and wide on a Wednesday night to hear him playing underground Jazz, Funk and Soul. Later moving venue to the Hill Top also in West Kingsdown, he was responsible for breaking classics such as Lonnie Liston Smith's "Expansions" and Ritchie Cole's "Groovin on a New York Afternoon".

In 1979, he became a staff writer for Blues & Soul Magazine.^[1] After a year he was promoted to features editor, a position he would hold until 1983. He left Blues & Soul to join London Records as an A&R manager.

Through his connections in London Records Tong was exposed to the newly emerging house music sound from Chicago. In 1986, Tong organised a compilation album, The House Sound of Chicago, Vol. 1, the first British release to gather and expose this genre.

Radio career[link]

Tong's first appearance on radio was in the late 1970s on Radio Invicta 92.4fm, Europe's first soul station. He joined a rotation of nightclub djs including Steve Walsh, Chris Hill, Chris Brown and others to present monthly guest shows. Later he appeared on local radio station BBC Radio Medway in the 'Soul Mafia' and doing occasional mixes for Radio London. In 1981 he made his first appearance on Radio 1 hosting a 15 minute feature on Peter Powell's show, playing the new tracks and covering the latest gossip and news from the dance world.

When Invicta Radio started up in Kent in 1984, Tong joined them to host a regular soul show, where assisted by local Kent journalist Eddie Gordon of the Kent Messenger he built up a big county profile. Tong stayed at Invicta until 1987. He was then hired by Capital Radio in 1988 at the suggestion of DJ Jeff Young to present a weekly dance programme. DJ Jeff Young having initially been offered the slot by Capital went to BBC Radio 1 to broadcast a weekly Friday night show called The Big Beat.

In 1991 Tong returned to national radio taking over the "hot" Friday night slot from the retiring Jeff Young. Thus Tong began his long stint as the host of the Essential Selection.

The Essential Selection was a BBC Radio 1 show that aired on Friday evenings, at varying times from 6-10pm between 1991 and 2006. From 1992 to 1993, a second weekly edition of the show aired on Sunday evenings from 7-8pm. From 29 September 2006 onwards, the show dropped its name in the UK from Essential Selection and was referred to as simply "Pete Tong: The Official Start To The Weekend", airing from 7-9pm until 2009 when it changed to 9-11pm. The programme showcases the latest dance & electronic music, and informs listeners what club nights are on around the United Kingdom at weekends. It is endorsed by Radio 1 as the official start to the weekend, and attracts one of the highest audiences for a radio show in the UK. There are no plans to change this successful format.

DJing[link]

Tong is one of England's most recognised DJs.^{[citation needed]} From 2003 to 2007 he was resident at the Pacha nightclub in Ibiza, drawing people from all over the world to his Pure Pacha nights. In 2008 he left Pacha and signed with Eden in Sant Antoni de Portmany to host his own Wonderland night. In March 2011 he announced that he would be returning to Pacha on Friday nights with his new event named 'All Gone Pete Tong'.

Pete Tong plays the Together Winter Music Festival in London at the Alexandra Palace on Saturday 26 November.

Mix album discography[link]

All chart positions are in the UK Compilation Chart^[2]

• Cream Live (1995) (#3) (CD1, mixed with Paul Oakenfold)
• The Annual (1995) (#13) (CD1)
• The Annual II (1996) (#1) (CD1)
• Dance Nation 3 (1997) (Mixed by Pete Tong and Judge Jules)
• Essential Selection Summer 1997 (1997) (#4) (Orange cover)
• The Annual III (1997) (#3) (CD1)
• Essential Selection Winter 1997 (1997) (#10) (Light blue cover)
• Dance Nation 5 (Mixed by Pete Tong and Boy George)
• Essential Selection Spring 1998 (#4) (Green cover)
• Essential Selection Summer 1998 (1998) (#4) (Red cover of strawberries)
• Essential Selection Summer 1998 (1998) (Limited Edition) (#2) (Yellow cover of strawberries, CD3 is Twelve Ibiza Classics mixed by Paul Oakenfold)
• Essential Selection '98 Tong/Oakenfold (1998) (#13) (Orange cover of oranges)
• Essential Selection '98 Tong/Oakenfold (1998) (Limited Edition) (#11) (Purple cover of tinted oranges, CD3 is mixed by Carl Cox)
• Essential Selection Spring 1999 (1999) (#13) (Cover of gold, green and purple easter eggs)
• Essential Selection Spring 1999 (1999) (Limited Edition) (#3) (Gold cover of easter eggs, CD3 is Hacienda Classics mixed by Graeme Park)
• Essential Selection Ibiza 1999 (1999) (#11) (Cover of blue, red and yellow buckets and spades)
• Essential Selection Ibiza 1999 (1999) (#7) (Cover of green, purple and virdian bucket and spades, CD3 is mixed by DJ Pippi)
• Essential Millennium (1999) (#10) (Mixed by Pete Tong/Fatboy Slim/Paul Oakenfold)
• Essential Selection Spring 2000 (2000) (#8)
• Essential Selection Ibiza 2000 (2000) (#11)
• Essential Mix 2000 (2000)
• Twisted Beats (2001)
• Essential Selection Presents The Clubber's Bible Winter 2002 (2001)
• Fashion TV Presents Pete Tong (2003)
• Essential Selection Pete Tong (2003) (did not chart)
• Pure Pacha Ibiza: Mixed by Pete Tong and Andy B (2004)
• It's Showtime! (Pete Tong Presents Pure Pacha Vol.II Summer Season 2005 (2005)
• Essential Classics (2005)
• Pure Pacha Vol.1 (2006) (Mixed by Pete Tong & Sarah Main)
• Essential Dance Mix (2006)
• Pure Pacha 3 (Mixed with Pete Tong and Sarah Main)
• Wonderland (2008)
• Pete Tong Presents Wonderland 2009 (2009)
• Pete Tong Presents Wonderland 2010 (2010)
• Pete Tong and Riva Starr: Future Underground (2011)
• All Gone Pete Tong & Felix da House Cat Ibiza '11 (2011)
• All Gone Pete Tong & Groove Armada Miami '12 (2012)

References[link]

External links[link]

• Official website
• Pete Tong at BBC Programmes
• Pete Tong Interview - Laptoprockers (2009)
• Pete Tong Interview (2006)
• Pete Tong discography at Discogs
• Interview with DJ Times, 2000
• Video; Pete Tong interviewed by Paul Morley, 2010

Further reading[link]

• "Pete Tong Issues a Wikipedia Correction and Announces Concert at Mansion October 27" blog post by S. Pajot on "CrossFade, the Music Blog", Tue., Oct. 19 2010 @ 1:00PM, accessed October 19, 2010

This biographical article needs additional citations for verification. Please help by adding reliable sources. Contentious material about living persons that is unsourced or poorly sourced must be removed immediately, especially if potentially libelous or harmful. (August 2008)

Tommy Haas

Haas at the 2011 US Open
Country	United States
Residence	Bradenton, Florida, United States
Born	(1978-04-03) 3 April 1978 (age 34) Hamburg, Germany
Height	1.88 m (6 ft 2 in)
Weight	88 kg (190 lb; 13.9 st)
Turned pro	1996
Plays	Right-handed (one-handed backhand)
Career prize money	$10,226,680
Singles
Career record	471–268
Career titles	12
Highest ranking	No. 2 (May 13, 2002)
Current ranking	No. 109 (May 7, 2012)
Grand Slam Singles results
Australian Open	SF (1999, 2002, 2007)
French Open	4R (2002, 2009)
Wimbledon	SF (2009)
US Open	QF (2004, 2006, 2007)
Other tournaments
Olympic Games	Silver Medal (2000)
Doubles
Career record	54–61
Career titles	1
Highest ranking	No. 127 (18 February 2002)
Current ranking	No. 320 (February 27, 2012)
Grand Slam Doubles results
Australian Open	–
French Open	–
Wimbledon	–
US Open	1R (2005)
Last updated on: 26 April 2012.

Tommy Haas (born 3 April 1978 as Thomas Mario Haas) is a German and recently naturalized American professional tennis player. He has competed on the ATP Tour since 1996. After breaking into the World Top 100 in 1997, and reaching a career-high singles ranking of World No. 2 on 13 May 2002, Haas's career has been interrupted by injuries: whilst a professional, he has twice dropped out of the world rankings due to being inactive for twelve months.^[1] His first period of injury saw him miss the whole of the 2003 season, and he did not return to the world's top ten until 2007. He also missed over a year's tennis between February 2010 and June 2011, but has since returned to play on the Tour.

Haas has never won a Grand Slam tournament, his best result being three-time semi-finalist at the Australian Open and one semi-final at Wimbledon. He has won thirteen career titles in singles and doubles, including one Masters tournament, and has a silver medal from the 2000 Summer Olympics.

Playing equipment[link]

His equipment include Solfire, Lacoste and Nike for his clothes and shoes, respectively. He switched to using Head racquets in 2009 after using Dunlop Sport racquets for most of his career.

Early life[link]

This biographical section of an article needs additional citations for verification. Please help by adding reliable sources. Contentious material about living persons that is unsourced or poorly sourced must be removed immediately, especially if potentially libelous or harmful. (May 2011)

Born in Hamburg, Germany to Brigitte and Peter Haas, Haas started playing his own version of tennis when he was two years old, by using a wooden plank to hit balls against the wall or into his father's hands. When his father noticed his talents, he started bringing Haas to work, as he happened to be a tennis coach.

At five years of age, Haas won his first youth tournament, in Hamburg. At eight years old, he won his second, in Munich. Between eleven and thirteen, Haas would twice win the Austrian Championship, the German Championship, and the European Championship.

Haas's talents were noted by world renowned tennis guru Nick Bollettieri. Nick was so impressed by the young German's talent that he offered Haas the chance to stay and train at his Bollettieri Academy in Bradenton, Florida for free. At 13, speaking little English, Haas moved to Florida to begin training at the academy.

Professional career[link]

1996–2000[link]

In 1996, Haas became a professional tennis player. He gained attention as a future tennis star when he won his first ATP title in 1999 and managed to make it to the semi-finals of the Australian Open and was a finalist in the Grand Slam Cup. The following year he won a silver medal in the Sydney Olympics.

2001–2004[link]

Haas at the public training for the World Team Cup in Düsseldorf, Germany, 2005

In 2001, he began to make even greater strides in his tennis career by winning four ATP titles, including his first ATP Master's title, finishing 2001 as number 8 in the world and therefore only missing out on playing in the season-ending Masters Cup because of Goran Ivanišević's Wimbledon triumph, which meant Ivanišević took the eight and final spot. Haas was quickly rising to the top of the tennis ranks when his career was suddenly halted at no. 2 in the world by a tragic and severe accident that nearly claimed the lives of Haas's parents, leaving his father in a coma. Haas spent much of the 2002 year taking care of his family, instead of playing tennis. At the end of the lay-off from tennis because of his parent's accident, he seriously injured his shoulder, requiring a major operation. He was plagued by further injuries and related complications afterwards, and did not return to professional tennis fully until 2004. Before his parents' accident and his injuries, he had an impressive record against notable former, current, and future no. 1 ranked players: 3–0 against Andy Roddick, 5–5 against Pete Sampras, 2–1 against Roger Federer, 2–1 against Marat Safin, and 2–0 against Jim Courier. Haas won two more ATP titles in his return year of 2004, while trying to gain back his form.

2006[link]

In 2006, Haas won three ATP Tournaments and put on an impressive performance at the 2006 US Open, making it to the quarterfinals, where he was knocked out by Nikolay Davydenko, despite having been up two sets. Haas began having severe cramps in his legs in the third set, and from then on, his limited mobility on the court perhaps cost him the remaining three sets and a match in the semifinals. During the match he was visibly disturbed, repeatedly hitting his legs with his racquet, frustrated at the cramps.

At the end of the year, he had to win the Paris Masters to qualify for the Masters Cup, the ATP year-end finale. He lost after a semifinal run to Dominik Hrbatý with health problems and did not play again for the rest of the year.

2007[link]

In 2007, Haas, with his trademark long hair now cut short, had battled his way to his third Australian Open semifinal, which included intense matches against David Nalbandian and a five-set quarterfinal rematch against Nikolay Davydenko. He lost his semifinal match against first-time Grand Slam finalist Fernando González from Chile in straight sets. Despite this loss, Haas returned to the top 10 of the world rankings for the first time since 2002.

On 25 February, at the Regions Morgan Keegan Championships in Memphis, Haas stopped Andy Roddick's quest for the final, winning 6–3, 6–2. This was the first time Haas had won a title without facing a single break point in any of his matches, as well as the first time he has won titles in consecutive seasons. Haas is also only the second player who has won three titles at Memphis, the other being Jimmy Connors, who won in 1979, 1983, and 1984. Haas has not lost a final since losing to Andre Agassi in the 2002 Rome Masters.

Haas reached the quarterfinals of the Pacific Life Open, an ATP Masters Series tournament held in Indian Wells, California, where he lost to Scotland's Andy Murray in a third-set tiebreaker. In the 2007 ATP Champion's Race, Haas, the thirteenth seed (10th-ranked), not known for being much of a grass courter, advanced to the fourth round at Wimbledon for the first time, defeating Zack Fleishman, Tomáš Zíb, and no. 21 seed Dmitry Tursunov. Unfortunately, this run came to an end after he suffered a torn abdominal muscle and had to withdraw a day before playing Roger Federer.

At the 2007 US Open, Haas equaled his best result in New York by reaching the quarterfinals with thrilling five-set wins over Sébastien Grosjean and James Blake. He beat Blake, 4–6, 6–4, 3–6, 6–0, 7–6, saving match points. His run ended, however, with a three-set loss to Nikolay Davydenko.

2008[link]