Crossword clues for dimensions
dimensions
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Wikipedia
Dimensions is a French project that makes educational movies about mathematics, focusing on spatial geometry. It uses POV-Ray to render some of the animations, and the films are released under a Creative Commons licence.
The film is separated in nine chapters, which follow this plot:
- Chapter 1: Dimension two explains Earth's coordinate system, and introduces the stereographic projection.
- Chapter 2: Dimension three discusses how two-dimensional beings would imagine three-dimensional objects.
- Chapters 3 and 4: The fourth dimension talk about four-dimensional polytopes (polychora), projecting the regular ones stereographically on the three-dimensional space.
- Chapters 5 and 6: Complex numbers are about the square root of negative numbers, transformations, and fractals.
- Chapters 7 and 8: Fibration show what a fibration is. Complex numbers are used again, and there are circles and tori rotating and being transformed.
- Chapter 9: Proof emphasizes the importance of proofs in mathematics, and proves the circle-conservationess of the stereographic projection as an example.
They are available for download in several languages.
Dimensions is a 2002 album by jazz band Octurn. It was recorded at Studio Jet, Brussels from February 12 until February 15, 2002. It is the fifth release compiled in the 11-CD box edited by De Werf the same year.
Dimensions is the second extended play (EP) by Australian rock band Wolfmother, released on 31 January 2006. It includes a total of four tracks and two music videos; three of the four songs were previously released on the band's self-titled album (one, " Love Train", only on the international version).
Dimensions is the fifth full-length album by the German power metal band Freedom Call. It was released on April 20, 2007. Stylistically, the album combines the up-tempo and melodic elements of the Eternity album with the more contemporary sound of The Circle of Life album. The mixing and mastering of the album was by Tommy Newton of Victory. It is a concept album set in a post-apocalyptic world, in the year 3051, in which a demon created by mankind has completely ravaged the world. The Japanese version includes the bonus track "The Quest (Unplugged Version)".
Dimensions is the third album by the Christian progressive thrash metal band Believer, released in 1993 on both Roadrunner Records and R.E.X. Records. The album's last song, "Trilogy of Knowledge", is split into four separate parts and tells of the life of Jesus Christ. The lyrics recount events from the Bible (often expressed in first person), and include opera vocals, orchestral instruments, acoustic guitars, distorted guitars, and more. Although the album was critically lauded, the band disbanded the following year, but reformed in 2005.
Dimensions is a 1984 album by jazz pianist McCoy Tyner released on the Elektra label. It features performances by Tyner with Gary Bartz, John Blake, John Lee and Wilby Fletcher. The Allmusic review by Scott Yanow states "McCoy Tyner is featured in one of his strongest groups... A transitional set between Tyner's adventurous Milestone albums and his current repertoire... Excellent music".
Dimensions is an album led by Canadian jazz trumpeter Maynard Ferguson featuring tracks recorded in early 1954 and mid 1955 and released on the EmArcy label.
Dimensions is a 2011 science fiction-love story film set in the 1920s and 1930s. The film was directed by Sloane U’Ren and written by Ant Neely, who are a married couple. The film is U’Ren’s feature film directorial debut and is also known as Dimensions: A Line, A Loop, A Tangle of Threads.
Dimensions premiered as part of the 2011 Cambridge Film Festival (U.K.) and outsold, per screen, the U.K. premieres of Tinker Tailor Soldier Spy, The Help and Midnight in Paris. After the Cambridge screenings, the film underwent a minor re-edit and was finished in early 2012. Dimensions was voted Best Film 2012 at the 37th Boston Science Fiction Film Festival and awarded the Gort Award. Previous Gort Award winners have included Duncan Jones' Moon. The film went on to win Best Film at the London Independent Film Festival and Best Film at the Long Island International Film Expo. Director Sloane U'Ren was also awarded Best Director at the Long Island International Film Expo.
Usage examples of "dimensions".
The north-south and east-west directions are two independent spatial dimensions in which a car can move.
He proposed that the spatial fabric of the universe might possess more than the three dimensions of common experience.
It is difficult to draw something with that many dimensions, so for visualization purposes we must settle for an illustration incorporating two large dimensions and one small, circular dimension.
Unlike your human eyes, which can swivel around to look in all three dimensions, your eyes as a Linebeing are forever locked into position, each staring off into the one-dimensional distance.
The evolution from one to two observably large space dimensions is dramatic.
We do not know at present whether any of our three spatial dimensions extends outward forever, or in fact curls back on itself in the shape of a giant circle, beyond the range of our most powerful telescopes.
Einstein had formulated general relativity in the familiar setting of a universe with three spatial dimensions and one time dimension.
Gravity is carried by ripples in the familiar three space dimensions, while electromagnetism is carried by ripples involving the new, curled-up dimension.
Einstein and others continued, now and then, to dabble with the possibility of extra curled-up dimensions, but it quickly came to be an enterprise on the outskirts of theoretical physics.
It is no wonder that speculations on extra dimensions took a distant backseat during these productive and heady times.
Beyond proposing a different number of extra dimensions, one can also imagine other shapes for the extra dimensions.
The new equations resulting from the extra dimensions were strikingly reminiscent of those used in the description of electromagnetism, and the strong and the weak forces.
Our inability to probe distances smaller than a billionth of a billionth of a meter permits not only extra tiny dimensions but all manner of whimsical possibilities as well-even a microscopic civilization populated by even tinier green people.
Equivalently, in a universe with three spatial dimensions, a string can vibrate in three independent directions.
Although it gets harder to envision, the pattern continues: In a universe with ever more spatial dimensions, there are ever more independent directions in which it can vibrate.