- published: 01 Apr 2016
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In mathematics and logic, the phrase "there is one and only one" is used to indicate that exactly one object with a certain property exists. In mathematical logic, this sort of quantification is known as uniqueness quantification or unique existential quantification.
Uniqueness quantification is often denoted with the symbols "∃!" or ∃=1". For example, the formal statement
may be read aloud as "there is exactly one natural number n such that n - 2 = 4".
The most common technique to proving uniqueness is to first prove existence of entity with the desired condition; then, to assume there exist two entities (say, a and b) that should both satisfy the condition, and logically deduce their equality, i.e. a = b.
As a simple high school example, to show x + 2 = 5 has only one solution, we assume there are two solutions first, namely, a and b, satisfying x + 2 = 5. Thus
By transitivity of equality,
By cancellation,
This simple example shows how a proof of uniqueness is done, the end result being the equality of the two quantities that satisfy the condition. However, that existence/expressibility must be proven before uniqueness, or else we cannot even assume the existence of those two quantities to begin with our current knowledge to date.
Always may refer to:
Disco is a genre of dance music containing elements of funk, soul, pop, and salsa that was most popular in the mid to late 1970s, though it has had brief resurgences. Its initial audiences were club-goers from the gay, African American, Italian American,Latino, and psychedelic communities in Philadelphia and then later New York City during the late 1960s and early 1970s. Disco also was a reaction against both the domination of rock music and the stigmatization of dance music by the counterculture during this period. Women embraced disco as well, and the music eventually expanded to several other marginalized communities of the time.
The disco sound has soaring vocals over a steady "four-on-the-floor" beat, an eighth note (quaver) or 16th note (semi-quaver) hi-hat pattern with an open hi-hat on the off-beat, and a prominent, syncopated electric bass line. In most disco tracks, strings, horns, electric pianos, and electric guitars create a lush background sound. Orchestral instruments such as the flute are often used for solo melodies, and lead guitar is less frequently used in disco than in rock. Many disco songs use electronic synthesizers.
Trip may refer to:
Travel is the movement of people between relatively distant geographical locations, and can involve travel by foot, bicycle, automobile, train, boat, airplane, or other means, with or without luggage, and can be one way or round trip. Travel can also include relatively short stays between successive movements.
The origin of the word "travel" is most likely lost to history. The term "travel" may originate from the Old French word travail. According to the Merriam Webster dictionary, the first known use of the word travel was in the 14th century. It also states that the word comes from Middle English travailen, travelen (which means to torment, labor, strive, journey) and earlier from Old French travailler (which means to work strenuously, toil). In English we still occasionally use the words travail and travails, which mean struggle. According to Simon Winchester in his book The Best Travelers' Tales (2004), the words travel and travail both share an even more ancient root: a Roman instrument of torture called the tripalium (in Latin it means "three stakes", as in to impale). This link reflects the extreme difficulty of travel in ancient times. Also note the torturous connotation of the word "travailler." Today, travel may or may not be much easier depending upon the destination you choose (i.e., Mt. Everest, the Amazon rainforest), how you plan to get there (tour bus, cruise ship, or oxcart), and whether or not you decide to "rough it (see extreme tourism and adventure travel). "There's a big difference between simply being a tourist and being a true world traveler," notes travel writer Michael Kasum. This is, however, a contested distinction as academic work on the cultures and sociology of travel has noted.
Receiving Transmission ... Dj Mix Show 2 (House, tribal, disco, techno, retro 132 bpm)
Nikon D750 Recommended Settings & Tips
On'Off Talks with Copyright
DJ Dacha - Life Style
Restless Soul - Mama (The Deep Love Science Remix)
This is my second Earth-based transmission to The Domain. I am here and am ready to return to Home Planet. I will continue to send transmissions until I am recovered. Equipment: Vestax VCI-400 and Serato DJ. Yorkville Coliseum C120P. Infinity 10", 150W sub woofer. Track List: 1. Body Heat - Jammin' Gerald 2. Travel Beats - Compute Function 3. Tropicalla - Technasia 4. 807 Narcotic - Speed999 5. No Nothing (bonus beats) - Hideo Kobayashi 6. Woman Beat Their Men (Submission Dub) - Cevin Fisher 7. Vazilando (Rasmus Faber Dub) - Oreja 8. Voice Of God - Riva Starr 9. Particles - Todd Bodine 10. Sand Dune - Dan March 11. Pow (Original Mix) - Andres Gil 12. It Takes Two (Dr Love Beat Remix) - Dr Love 13. Get A Phone - Billeebob 14. Earth People (Dr Love Beat Remix) - Earth People 15. Discotec...
A Masterclass in camera setup. How to set up your camera to be the most responsive, reliable and ergonomic camera ever. More info, links and Nikon D750 goodness here: http://notsoancientchinesesecrets.com/?p=1601
On'Off DJ School Talks with great people! The fourth episode of the "On'Off Talks" series greet the UK production duo that have emerged from the shadowy streets beneath the grey skies of London to beam rays of 4/4 happiness directly into the gratefully exultant faces of clubbers around the globe. Meet Copyright. We're thrilled to share with you the awesome talk we had with them. Enjoy! Host of the event: Queen's Club (www.queens-club.ro) Recorded in Iasi, Romania, in January 2012 for www.onoffdjschool.ro With love, Luno Studio www.luno.ro
DOWNLOAD HERE http://www.djdacha.net/dj-mixes-download/year/2000/177-dj-dacha-life-style-dl03# MIXCLOUD HERE https://www.mixcloud.com/oldacha/dj-dacha-life-style-dl003/ DJs life style is always unusual, pack your mixer, decks, headphones, music, don't forget fashion too!!! But, music is always number one, and on this DJ mix I'm going cyber disco with a hint of tech house. There are few artists that you will hear only here and probably never again. I was traveling from Motel 6 track to great Scalawag cut, and then to some other dope tracks... this is one future-tech disco DJ mix. If you never heard for artists such as: Discotexx, Olav Basoski, Master Blaster, Antony Demarco, Mac Zimms, Robie Rivera, Wigwam, Bedlam, Eric Powell, it's about the time... Dig into this deep, tech, disco house D...
Classic House Music. Black Science Orchestra's remix on Slip 'n' Slide - http://www.discogs.com/Restless-Soul-Mama/release/60632 Thanx to DJ Jeno (SF) I use it in this mix: http://www.mixcloud.com/seananddev/sean-dev-live-at-the-afterparty-1109/ Any artist or copyright holder of a video herein wishing to have said video removed please inform us of your wishes. Our only intention is to not let loved music be forgotten.