The Greenwaldian Theorem is the name satirically given to the inequality . The name itself first appeared in the Futurama movie ', as a tribute to Dr. Sarah Greenwald, an associate professor of mathematics at Appalachian State University who has commented extensively on mathematics in popular culture, especially The Simpsons and Futurama. Dr. Greenwald commented that, although she was flattered to have this theorem named after her, she was not the first to observe it.,
Explanation
The Greenwaldian Theorem refers to the concept that, given the sides and , and the hypotenuse , of a right triangle which is drawn on the surface of a sphere or other polyhedron, the sums of the squares of the two sides will be greater than the square of the hypotenuse. By contrast, the Pythagorean theorem, which holds true for triangles drawn on a flat plane, holds that .
See Also
*
* Triangle
* Pythagorean theorem
* Spherical triangle
Explanation
The Greenwaldian Theorem refers to the concept that, given the sides and , and the hypotenuse , of a right triangle which is drawn on the surface of a sphere or other polyhedron, the sums of the squares of the two sides will be greater than the square of the hypotenuse. By contrast, the Pythagorean theorem, which holds true for triangles drawn on a flat plane, holds that .
See Also
*
* Triangle
* Pythagorean theorem
* Spherical triangle
A dance anthem, floor filler (also floorfiller) or club anthem is a dance (or disco) track which receives almost timeless status, being played commonly many years after its release.
Many older (pre-1990) tracks which are referred to as dance anthems are often only played at retro nights in clubs, or at themed parties. A common sub-category of dance anthems have sometimes been referred to as "handbag songs", examples of such tracks include "I Feel Love" by Donna Summer, or "I Will Survive" by Gloria Gaynor.
However, most commonly a dance anthem is a track which DJ's still play in normal sets alongside modern tracks. Some are played only towards the end of a set, almost as if a mini retro set was being played, but some are still used as if they were recently released dance music.
The term floor filler was coined to describe extraordinarily popular songs, due to the ability of certain tracks to bring people from the bar areas of nightclubs onto the dance floor. This is often due to the highly distinctive intros that some songs have but can also be due to the simple popularity and recognition of a song. DJs frequently reserve these tracks for critical times during their performances, to bring people to or keep people on the dance floor, thus ensuring a lively atmosphere.
Most people would agree that "Set You Free" by N-Trance, "Insomnia" by Faithless, "Sandstorm" by Darude, "Children" by Robert Miles and "Dreamer" by Livin' Joy are at the forefront of this category.
Songs referred to as dance anthems
* "" by Crystal Waters
* "3 a.m. Eternal" by The KLF
* "" by ATB
* "1998" by Binary Finary
* "" by Shaft
* "Addicted to Bass" by Puretone
* "All That She Wants" by Ace of Base
* "Another Chance" by Roger Sanchez
* "Another Night" by Real McCoy
* "Anthem" by Paul van dyk
* "Around the World" by Daft Punk
* "Around the World" by ATC
* "Attention" by Commander Tom
* "Barber's Adagio For Strings" by William Orbit
* "Barbie Girl" by Aqua
* "Be My Lover" by La Bouche
* "Beat of my Heart" by Hilary Duff
* "Believe" by Cher
* "Bellissima" by DJ Quicksilver
* "Better Off Alone" by Alice DeeJay
* "Billie Jean" by Michael Jackson
* "Blue Monday" by New Order
* "Boogie 2Nite" by Booty Luv
* "Born Slippy .NUXX" by Underworld
* "Butterfly" by SMILE.dk
* "Café Del Mar" by Energy 52
* "Call on Me" by Eric Prydz
* "Can't Get You Out of My Head" by Kylie Minogue
* "Castles in the Sky" by Ian Van Dahl
* "Chase the Sun" by Planet Funk
* "Children" by Robert Miles
* "Come With Me" by Special D
* "Connected" by Stereo MCs
* "Destination Calabria" by Alex Gaudino & Crystal Waters
* "Don't Call Me Baby" by Madison Avenue
* "Don't Give Me Your Life" by Alex Party
* "" by Chicane & Bryan Adams
* "Dreamer" by Livin' Joy
* "Drop the Pressure" by Mylo
* "Ecuador" by
* "Encore Une Fois" by
* "Eple" by Royksopp
* "Exceeder" by Mason
* "Falling Stars" by Sunset Strippers
* "Feel It" by Tamperer & Maya
* "Finally" by Ce Ce Peniston
* "Firestarter" by Prodigy
* "Flashdance" by Deep Dish
* "Flashdance...What A Feeling" by Irene Cara
* "Floorfiller" by
* "For an Angel" by Paul van Dyk
* "Free" by Ultra Nate
* "Freed from Desire" by Gala
* "Freestyler" by Bomfunk MC's
* "From Paris To Berlin" by Infernal
* "Get Low" by Lil' John
* "" by
* "Groove Is in the Heart" by Deee-Lite
* "Groovejet" by Spiller
* "" by Crystal Waters
* "Hall of Fame Anthem" by J-Squad
* "Harder, Better, Faster, Stronger" by Daft Punk
* "Heart of Asia" by Watergate
* "Heaven" by DJ Sammy
* "Hey Boy Hey Girl" by Chemical Brothers
* "Hide U" by Kosheen
* "Higher States Of Consciousness" by Josh Wink
* "Hips Don't Lie" by Shakira
* "I Feel Love" by Donna Summer
* "I Turn To You" by Melanie C
* "Insomnia" by Faithless
* "It Feels So Good" by Sonique
* "It Takes Two' by Rob Base and DJ E-Z Rock
* "It's a Fine Day" by Opus III
* "It's Like That" by Run DMC Vs Jason Nevins
* "It's My Life" by Dr. Alban
* "It's Raining Men by The Weather Girls
* "Jump Around!" by House of Pain
* "Keep It Up" by J&R Project
* "Kernkraft 400" by Zombie Nation
* "Killer" by Adamski & Seal
* "King of My Castle" by Wamdue Project
* "" by Modjo
* "Let Me Be Your Fantasy" by Baby D
* "Listen to Your Heart" by D.H.T.
* "Lola's Theme" by Shapeshifters
* "Loneliness" by Tomcraft
* "Lonely" by Nana
* Love is gone by David Guetta
* "Make Luv" by Room 5
* "More & More" by DJ Hixxy
* "Mr. Vain" by Culture Beat
* "Music Sounds Better with You" by Stardust
* "Muzak" by Trisco
* "My My My" by Armand Van Helden
* "Mysterious Times" by & Tina Cousins
* "No Limit" by 2 Unlimited
* "Not Over Yet" by Grace
* "On the Beach" by York
* "One More Time" by Daft Punk
* "Ordinary World" by Aurora & Naimee Coleman
* "Out of Touch" by Uniting Nations
* "" by Britney Spears
* "Pasilda" by Afro Medusa
* "Played a Live (The Bongo Song)" by Safri Duo
* "Pretty Green Eyes" by Ultrabeat
* "Professional Widow" by Tori Amos
* "Prominent" by Joop
* "Pump Up the Jam" by Technotronic
* "Push the Feeling On" by Nightcrawlers
* "Push it" by Salt'n'Peppa
* "Put 'Em High" by Stonebridge & Therese
* "Put Your Hands Up For Detroit" by Fedde Le Grand
* "Ramp! The Logical Song" by Scooter
* "Rapture" by IIO
* "Re-Rewind The Crowd Say Bo Selecta" by Artful Dodger & Craig David
* "Red Alert" by Basement Jaxx
* "Resurrection" by PPK
* "Rhythm Is a Dancer" by
* "Rhythm of the Night" by Corona
* "Ride on Time" by Black Box
* "Right Here Right Now" by Fatboy Slim
* "" by Bob Sinclar
* "Rock Your Body, Rock" by Ferry Corsten
* "Saltwater" by Chicane
* "Sandstorm" by Darude
* "Serenity" by Armin van Buuren feat. Jan Vayne
* "Satisfaction" by Benny Benassi
* "Saturday Night" by Whigfield
* "Set You Free" by N-Trance
* "Seven Days and One Week" by BBE
* "Silence" by Delerium
* "Sing It Back" by Moloko
* "Smack My Bitch Up" by The Prodigy
* "Smalltown Boy" by Bronski Beat
* "Somebody's Watching Me" by Beatfreakz
* "Something" by Lasgo
* "Star 69" by Fatboy Slim
* "Stay" by
* "Stay Fly" by Three 6 Mafia
* "Strike It Up" by Black Box
* "Sunchyme" by Dario G
* "Sweet Dreams" by Eurythmics
* "Sweet Like Chocolate" by Shanks & Bigfoot
* "Tainted Love" by Soft Cell
* "Take Me to the Clouds Above" by LMC Vs U2
* "The Launch" by DJ Jean
* "The Opera Song" by Jurgen Vries & CMC
* "The Power" by
* "The Theme" by Jurgen Vries
* "Thunder in My Heart Again" by Meck & Leo Sayer
* "Time to Burn" by Storm
* "Toca's Miracle" by Fragma
* "Touch Me" by Rui Da Silva
* "True Love Never Dies" by Flip & Fill
* "" by Armand Van Helden
* "Until I Got U" by EX-PLOSION
* "Voodoo Child" by Rogue Traders
* "Voodoo People" by The Prodigy
* "Vou entrar no teu olhar" by Santamaria
* "We Like to Party" by Vengaboys
* "What Is Love" by Haddaway
* "What Time Is Love?" by The KLF
* "With Every Heartbeat" by Robyn & Kleerup
* "Yeah Yeah" by Bodyrox & Luciana
* "You Got the Love" by The Source & Candi Staton
* "You're My Heart, You're My Soul" by Modern Talking
* "You're Not Alone" by Olive
Many older (pre-1990) tracks which are referred to as dance anthems are often only played at retro nights in clubs, or at themed parties. A common sub-category of dance anthems have sometimes been referred to as "handbag songs", examples of such tracks include "I Feel Love" by Donna Summer, or "I Will Survive" by Gloria Gaynor.
However, most commonly a dance anthem is a track which DJ's still play in normal sets alongside modern tracks. Some are played only towards the end of a set, almost as if a mini retro set was being played, but some are still used as if they were recently released dance music.
The term floor filler was coined to describe extraordinarily popular songs, due to the ability of certain tracks to bring people from the bar areas of nightclubs onto the dance floor. This is often due to the highly distinctive intros that some songs have but can also be due to the simple popularity and recognition of a song. DJs frequently reserve these tracks for critical times during their performances, to bring people to or keep people on the dance floor, thus ensuring a lively atmosphere.
Most people would agree that "Set You Free" by N-Trance, "Insomnia" by Faithless, "Sandstorm" by Darude, "Children" by Robert Miles and "Dreamer" by Livin' Joy are at the forefront of this category.
Songs referred to as dance anthems
* "" by Crystal Waters
* "3 a.m. Eternal" by The KLF
* "" by ATB
* "1998" by Binary Finary
* "" by Shaft
* "Addicted to Bass" by Puretone
* "All That She Wants" by Ace of Base
* "Another Chance" by Roger Sanchez
* "Another Night" by Real McCoy
* "Anthem" by Paul van dyk
* "Around the World" by Daft Punk
* "Around the World" by ATC
* "Attention" by Commander Tom
* "Barber's Adagio For Strings" by William Orbit
* "Barbie Girl" by Aqua
* "Be My Lover" by La Bouche
* "Beat of my Heart" by Hilary Duff
* "Believe" by Cher
* "Bellissima" by DJ Quicksilver
* "Better Off Alone" by Alice DeeJay
* "Billie Jean" by Michael Jackson
* "Blue Monday" by New Order
* "Boogie 2Nite" by Booty Luv
* "Born Slippy .NUXX" by Underworld
* "Butterfly" by SMILE.dk
* "Café Del Mar" by Energy 52
* "Call on Me" by Eric Prydz
* "Can't Get You Out of My Head" by Kylie Minogue
* "Castles in the Sky" by Ian Van Dahl
* "Chase the Sun" by Planet Funk
* "Children" by Robert Miles
* "Come With Me" by Special D
* "Connected" by Stereo MCs
* "Destination Calabria" by Alex Gaudino & Crystal Waters
* "Don't Call Me Baby" by Madison Avenue
* "Don't Give Me Your Life" by Alex Party
* "" by Chicane & Bryan Adams
* "Dreamer" by Livin' Joy
* "Drop the Pressure" by Mylo
* "Ecuador" by
* "Encore Une Fois" by
* "Eple" by Royksopp
* "Exceeder" by Mason
* "Falling Stars" by Sunset Strippers
* "Feel It" by Tamperer & Maya
* "Finally" by Ce Ce Peniston
* "Firestarter" by Prodigy
* "Flashdance" by Deep Dish
* "Flashdance...What A Feeling" by Irene Cara
* "Floorfiller" by
* "For an Angel" by Paul van Dyk
* "Free" by Ultra Nate
* "Freed from Desire" by Gala
* "Freestyler" by Bomfunk MC's
* "From Paris To Berlin" by Infernal
* "Get Low" by Lil' John
* "" by
* "Groove Is in the Heart" by Deee-Lite
* "Groovejet" by Spiller
* "" by Crystal Waters
* "Hall of Fame Anthem" by J-Squad
* "Harder, Better, Faster, Stronger" by Daft Punk
* "Heart of Asia" by Watergate
* "Heaven" by DJ Sammy
* "Hey Boy Hey Girl" by Chemical Brothers
* "Hide U" by Kosheen
* "Higher States Of Consciousness" by Josh Wink
* "Hips Don't Lie" by Shakira
* "I Feel Love" by Donna Summer
* "I Turn To You" by Melanie C
* "Insomnia" by Faithless
* "It Feels So Good" by Sonique
* "It Takes Two' by Rob Base and DJ E-Z Rock
* "It's a Fine Day" by Opus III
* "It's Like That" by Run DMC Vs Jason Nevins
* "It's My Life" by Dr. Alban
* "It's Raining Men by The Weather Girls
* "Jump Around!" by House of Pain
* "Keep It Up" by J&R Project
* "Kernkraft 400" by Zombie Nation
* "Killer" by Adamski & Seal
* "King of My Castle" by Wamdue Project
* "" by Modjo
* "Let Me Be Your Fantasy" by Baby D
* "Listen to Your Heart" by D.H.T.
* "Lola's Theme" by Shapeshifters
* "Loneliness" by Tomcraft
* "Lonely" by Nana
* Love is gone by David Guetta
* "Make Luv" by Room 5
* "More & More" by DJ Hixxy
* "Mr. Vain" by Culture Beat
* "Music Sounds Better with You" by Stardust
* "Muzak" by Trisco
* "My My My" by Armand Van Helden
* "Mysterious Times" by & Tina Cousins
* "No Limit" by 2 Unlimited
* "Not Over Yet" by Grace
* "On the Beach" by York
* "One More Time" by Daft Punk
* "Ordinary World" by Aurora & Naimee Coleman
* "Out of Touch" by Uniting Nations
* "" by Britney Spears
* "Pasilda" by Afro Medusa
* "Played a Live (The Bongo Song)" by Safri Duo
* "Pretty Green Eyes" by Ultrabeat
* "Professional Widow" by Tori Amos
* "Prominent" by Joop
* "Pump Up the Jam" by Technotronic
* "Push the Feeling On" by Nightcrawlers
* "Push it" by Salt'n'Peppa
* "Put 'Em High" by Stonebridge & Therese
* "Put Your Hands Up For Detroit" by Fedde Le Grand
* "Ramp! The Logical Song" by Scooter
* "Rapture" by IIO
* "Re-Rewind The Crowd Say Bo Selecta" by Artful Dodger & Craig David
* "Red Alert" by Basement Jaxx
* "Resurrection" by PPK
* "Rhythm Is a Dancer" by
* "Rhythm of the Night" by Corona
* "Ride on Time" by Black Box
* "Right Here Right Now" by Fatboy Slim
* "" by Bob Sinclar
* "Rock Your Body, Rock" by Ferry Corsten
* "Saltwater" by Chicane
* "Sandstorm" by Darude
* "Serenity" by Armin van Buuren feat. Jan Vayne
* "Satisfaction" by Benny Benassi
* "Saturday Night" by Whigfield
* "Set You Free" by N-Trance
* "Seven Days and One Week" by BBE
* "Silence" by Delerium
* "Sing It Back" by Moloko
* "Smack My Bitch Up" by The Prodigy
* "Smalltown Boy" by Bronski Beat
* "Somebody's Watching Me" by Beatfreakz
* "Something" by Lasgo
* "Star 69" by Fatboy Slim
* "Stay" by
* "Stay Fly" by Three 6 Mafia
* "Strike It Up" by Black Box
* "Sunchyme" by Dario G
* "Sweet Dreams" by Eurythmics
* "Sweet Like Chocolate" by Shanks & Bigfoot
* "Tainted Love" by Soft Cell
* "Take Me to the Clouds Above" by LMC Vs U2
* "The Launch" by DJ Jean
* "The Opera Song" by Jurgen Vries & CMC
* "The Power" by
* "The Theme" by Jurgen Vries
* "Thunder in My Heart Again" by Meck & Leo Sayer
* "Time to Burn" by Storm
* "Toca's Miracle" by Fragma
* "Touch Me" by Rui Da Silva
* "True Love Never Dies" by Flip & Fill
* "" by Armand Van Helden
* "Until I Got U" by EX-PLOSION
* "Voodoo Child" by Rogue Traders
* "Voodoo People" by The Prodigy
* "Vou entrar no teu olhar" by Santamaria
* "We Like to Party" by Vengaboys
* "What Is Love" by Haddaway
* "What Time Is Love?" by The KLF
* "With Every Heartbeat" by Robyn & Kleerup
* "Yeah Yeah" by Bodyrox & Luciana
* "You Got the Love" by The Source & Candi Staton
* "You're My Heart, You're My Soul" by Modern Talking
* "You're Not Alone" by Olive
SogoTrade is an online discount stock market brokerage firm that deals in whole and partial shares of stock and exchange-traded funds. It was previously named SogoInvest when it was first launched in 2006. It is a wholly owned subsidiary of Genesis Securities LLC, the only order entry platform that is Platinum-Certified by NASDAQ . Dealing entirely on the Internet, trades are placed by the customer in either real time or as an automatic daily investment.
History
William Yeh established Genesis Securities LLC on 1999 to serve institutional traders. Genesis Securities now executes on average 2-4% of NASDAQ's 1-1.5% of NYSE/AMEX's daily trading volume. In order to meet the needs of the average trader, Gensis Securities launched SogoInvest in July of 2006, despite facing a market already dominated by discount brokerages.
In January 2008, SogoInvest changed its name to SogoTrade.
Notable Personnel
William Yeh: CEO and Chairman, Founder and Head of Genesis Securities, LLC
Tom Dittmer: Senior Managing Director, former Chairmain of Refco
Brad Reifler: Senior Managing Director
Bert Cohen: Senior Managing Director
Paul Chu: Senior Managing Director
History
William Yeh established Genesis Securities LLC on 1999 to serve institutional traders. Genesis Securities now executes on average 2-4% of NASDAQ's 1-1.5% of NYSE/AMEX's daily trading volume. In order to meet the needs of the average trader, Gensis Securities launched SogoInvest in July of 2006, despite facing a market already dominated by discount brokerages.
In January 2008, SogoInvest changed its name to SogoTrade.
Notable Personnel
William Yeh: CEO and Chairman, Founder and Head of Genesis Securities, LLC
Tom Dittmer: Senior Managing Director, former Chairmain of Refco
Brad Reifler: Senior Managing Director
Bert Cohen: Senior Managing Director
Paul Chu: Senior Managing Director
Digini, Inc. ("Digini" is pronounced Di-Genie) is Software Development company located in Issaquah, Washington, USA that produces a 3D game engine and associated development tools. Their flagship product, Blade3D is currently in development, and currently only available as Beta.
History
Digini was founded in 2004 by ex-Microsoft developers who had previously worked on the and Visual Studio products. The original software package being developed by the company was called Data Flow Studio (a native application that made extensive use of dataflow programming techniques), however, in August 2006 this project was cancelled before it ever shipped following the announcement of Microsoft XNA. The product was replaced by Blade3D which is a complete rewrite of DFS in C with numerous new features.
History
Digini was founded in 2004 by ex-Microsoft developers who had previously worked on the and Visual Studio products. The original software package being developed by the company was called Data Flow Studio (a native application that made extensive use of dataflow programming techniques), however, in August 2006 this project was cancelled before it ever shipped following the announcement of Microsoft XNA. The product was replaced by Blade3D which is a complete rewrite of DFS in C with numerous new features.