Collapse may refer to:
Collapse! is a series of award-winningtile-matching puzzle video games by GameHouse, a software company in Seattle, Washington. In 2007, Super Collapse! 3 became the first game to win the Game of the Year at the inaugural Zeebys.
The classic Collapse! game is played on a board of twelve columns by fifteen rows. Randomly colored blocks fill the board, rising from below. By clicking on a group of 3 or more blocks of the same color, the whole group disappears in a collapse and any blocks stacked above fall down to fill in the vacant spaces. If a whole column is cleared, the elements slide to the center of the field. If one or more blocks rise beyond the top row of the board, the game is lost. If the player manages to survive a specified number of lines without losing, they win the level and are awarded points for successful completion.
A level usually begins with a few rows of blocks using a starting set of colors (typically red, green, blue, white, and yellow.). One after the other, new blocks are added to a "feed" row below the board. When the feeder row has filled, all of its blocks are moved up, to the active board, shifting the field of remaining blocks higher. During the course of a level, the rate of new blocks entering the feed increases. New colors may also be introduced, making it more challenging for the player to find groups that are large enough to be collapsed.
In Riemannian geometry, a collapsing or collapsed manifold is an n-dimensional manifold M that admits a sequence of Riemannian metrics gi, such that as i goes to infinity the manifold is close to a k-dimensional space, where k < n, in the Gromov–Hausdorff distance sense. Generally there are some restrictions on the sectional curvatures of (M, gi). The simplest example is a flat manifold, whose metric can be rescaled by 1/i, so that the manifold is close to a point, but its curvature remains 0 for all i.
Generally speaking there are two types of collapsing:
(1) The first type is a collapse while keeping the curvature uniformly bounded, say .
Let be a sequence of
dimensional Riemannian manifolds, where
denotes the sectional curvature of the ith manifold. There is a theorem proved by Jeff Cheeger, Kenji Fukaya and Mikhail Gromov, which states that: There exists a constant
such that if
and
, then
admits an N-structure, with
denoting the injectivity radius of the manifold M. Roughly speaking the N-structure is a locally action of a nilmanifold, which is a generalization of an F-structure, introduced by Cheeger and Gromov. This theorem generalized previous theorems of Cheeger-Gromov and Fukaya where they only deal with the torus action and bounded diameter cases respectively.
Collapse is Across Five Aprils' second full-length album to be released on Indianola Records.
All tracks by Across Five Aprils
Collapse (Ukrainian: Kолапс, also known as Collapse: Devastated World) is an action game released in 2008 for Microsoft Windows. It was developed by Creoteam, a company based in Ukraine. The game is notable for combining Quick Time Events and sword battles similar to God of War series, third-person shooting, and a setting similar to S.T.A.L.K.E.R.: Shadow of Chernobyl. The soundtrack was written by Kiev-based electronic band NewTone.
The gameplay is divided into sections where a player is encouraged to use either swords or guns. The shooting section is similar to many third-person shooters, while the close-range combat is similar to the God of War series. Boss battles are usually finished using quick time events. Many of the locations in the game are based on real-life Kiev places, such as Maidan Nezalezhnosti and Kiev Pechersk Lavra.
The story is set in 2096 in Kiev, Ukraine, a city that turned into the center of the Zone. The Zone was created after a strange interdimensional rift opened, leading the city and all surrounding areas to be infested with outwordly beasts and dangerous anomalies. The rift become known as the Hole. To stop the spread of the Zone, a quarantine was declared, and all the inhabitants of the place became hostages. At first, the Zone was controlled by scientists and militia, but due to monster attacks and strong aggression from the locals, the Zone soon became divided between various bandit clans led by so-called Lords. The city itself and surrounding area of the Zone became known as the Junkyard.
Collapse, directed by Chris Smith, is an American documentary film exploring the theories, writings and life story of controversial author Michael Ruppert. Collapse premiered at the Toronto International Film Festival in September 2009 to positive reviews.
Ruppert, a former Los Angeles police officer who describes himself as an investigative reporter and radical thinker, has authored books on the events of the September 11 attacks and of energy issues. Critics in the mainstream media and in D.C. called him a conspiracy theorist and an alarmist.
Director Smith interviewed Ruppert over the course of fourteen hours in an interrogation-like setting in an abandoned warehouse basement meat locker near downtown Los Angeles. Ruppert’s interview was shot over five days throughout March and April 2009. The filmmakers distilled these interviews down to this 82 minute monologue with archival footage interspersed as illustration.
The title refers to Ruppert’s belief that unsustainable energy and financial policies have led to an ongoing collapse of modern industrial civilization.