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Pandora has no concept of genre, user connections or ratings. It doesn't care what other people who like Gomez also like. When you create a radio station on Pandora, it uses a pretty radical approach to delivering your personalized selections: Having analyzed the musical structures present in the songs you like, it plays other songs that possess similar musical traits

Pandora relies on a Music Genome that consists of 400 musical attributes covering the qualities of melody, harmony, rhythm, form, composition and lyrics. It's a project that began in January 2000 and took 30 experts in music theory five years to complete. The Genome is based on an intricate analysis by actual humans (about 20 to 30 minutes per four-minute song) of the music of 10,000 artists from the past 100 years. The analysis of new music continues every day since Pandora's online launch in August 2005. As of May 2006, the Genome's music library contains 400,000 analyzed songs from 20,000 contemporary artists. You won't find Latin or classical yet: Pandora is in the process of developing a specialized Latin music Genome and is still deep in thought about how to approach the world of classical composition.

Pandora (which is also the name of the company) grew out of the Music Genome Project, which company founder Tim Westergren began six years ago.

He became fascinated with the way directors described the music they were looking for, which led to his wondering what made people enjoy certain types of music. He asked himself, "If people haven't found any music that they love since college, and artists are struggling to find an audience, is there a role for technology to help bridge the gap?"

Westergren started the Genome Project from the idea of creating a platform for connecting people with music that they'll love based on music they already enjoy. The project uses experts called "music analysts" to deconstruct music into its fundamental parts and capture the results into a database. Pandora has 40 professional musicians who come to the office every day and listen to one song at a time, analyzing each in anywhere from 200 to 400 dimensions. (The dimensions are somewhat different for each genre of music.)

Pythagoras of Samos (/pɪˈθæɡərəs/; Ancient Greek: Πυθαγόρας ὁ Σάμιος Pythagóras ho Sámios “Pythagoras the Samian”, or simply Πυθαγόρας; Πυθαγόρης in Ionian Greek; c. 570 BC – c. 495 BC)[1][2] was an Ionian Greek philosopher, mathematician, and founder of the religious movement called Pythagoreanism.

Since the fourth century AD, Pythagoras has commonly been given credit for discovering the Pythagorean theorem, a theorem in geometry that states that in a right-angled triangle the area of the square on the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares of the other two sides—that is,

While the theorem that now bears his name was known and previously utilized by the Babylonians and Indians, he, or his students, are often said to have constructed the first proof. It must, however, be stressed that the way in which the Babylonians handled Pythagorean numbers implies that they knew that the principle was generally applicable, and knew some kind of proof, which has not yet been found in the (still largely unpublished) cuneiform sources.[47]

Pythagorean proof

he Pythagorean Theorem was known long before Pythagoras, but he may well have been the first to prove it.[6] In any event, the proof attributed to him is very simple, and is called a proof by rearrangement. The two large squares shown in the figure each contain four identical triangles, and the only difference between the two large squares is that the triangles are arranged differently. Therefore, the white space within each of the two large squares must have equal area. Equating the area of the white space yields the Pythagorean Theorem, Q.E.D.[7] That Pythagoras originated this very simple proof is sometimes inferred from the writings of the later Greek philosopher and mathematician Proclus.[8] Several other proofs of this theorem are described below, but this is known as the Pythagorean one.

Pythagorean triples Main article: Pythagorean triple A Pythagorean triple has three positive integers a, b, and c, such that a2 + b2 = c2. In other words, a Pythagorean triple represents the lengths of the sides of a right triangle where all three sides have integer lengths.[1] Evidence from megalithic monuments in Northern Europe shows that such triples were known before the discovery of writing. Such a triple is commonly written (a, b, c). Some well-known examples are (3, 4, 5) and (5, 12, 13). A primitive Pythagorean triple is one in which a, b and c are coprime (the greatest common divisor of a, b and c is 1). The following is a list of primitive Pythagorean triples with values less than 100: (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41), (11, 60, 61), (12, 35, 37), (13, 84, 85), (16, 63, 65), (20, 21, 29), (28, 45, 53), (33, 56, 65), (36, 77, 85), (39, 80, 89), (48, 55, 73), (65, 72, 97)

The study has found that robot-assisted AR based play showed improved learning effects, compared to the conventional play, in language and creativity and this is attributed to the operational flexibility, novelty, robotic mediation and capturing the attention of the children. The result was also made possible in part by designing an effective interface for the teachers to control the robots and manage the simultaneously occurring tasks.

added: "The attention to physical attributes may be even more dangerous on social media than on traditional media because participants in social media are people we know.

A preoccupation with weight and shape was one of the key features of current popular culture, and was a global phenomenon, she said

"The fascination with celebrities, their bodies, clothes and appearance has all increased the pressure that people typically feel at a time when they seek to establish their own identities and when their bodies are growing and changing," she said

Pandora’s 48 million users tune in an average 11.6 hours a month. That could increase as Pandora strikes deals with the makers of cars, televisions and stereos

At the end of 2009, Pandora reported its first profitable quarter and $50 million in annual revenue — mostly from ads and the rest from subscriptions and payments from iTunes and Amazon.com when people buy music.

Its library now has 700,000 songs, each categorized by an employee based on 400 musical attributes, like whether the voice is breathy, like Charlotte Gainsbourg, or gravelly like Tom Waits.