Cycle

Cycle or cyclic may refer to:

Mathematics

Cycle (graph theory)

In graph theory, there are several different types of object called cycles, principally a closed walk and a simple cycle; also, e.g., an element of the cycle space of the graph.

A closed walk consists of a sequence of vertices starting and ending at the same vertex, with each two consecutive vertices in the sequence adjacent to each other in the graph. In a directed graph, each edge must be traversed by the walk consistently with its direction: the edge must be oriented from the earlier of two consecutive vertices to the later of the two vertices in the sequence. The choice of starting vertex is not important: traversing the same cyclic sequence of edges from different starting vertices produces the same closed walk.

A simple cycle may be defined either as a closed walk with no repetitions of vertices and edges allowed, other than the repetition of the starting and ending vertex, or as the set of edges in such a walk. The two definitions are equivalent in directed graphs, where simple cycles are also called directed cycles: the cyclic sequence of vertices and edges in a walk is completely determined by the set of edges that it uses. In undirected graphs the set of edges of a cycle can be traversed by a walk in either of two directions, giving two possible directed cycles for every undirected cycle. (For closed walks more generally, in directed or undirected graphs, the multiset of edges does not unambiguously determine the vertex ordering.) A circuit can be a closed walk allowing repetitions of vertices but not edges; however, it can also be a simple cycle, so explicit definition is recommended when it is used.

Cycle (album)

Cycle is an album by the Japanese noise musician Merzbow. It features recordings of Masami Akita's pet chickens. Material from this album was performed live at Radio Nova in Oslo, which was released as Mini Cycle / Yoshino Tamago / Yonos Bigfoot.

Track listing

All music composed by Masami Akita.

Personnel

References

Oil!

Oil! is a novel by Upton Sinclair published in 1927 told as a third person narrative, with only the opening pages written in the second person. The book was written in the context of the Harding administration's Teapot Dome Scandal and takes place in Southern California. It is a social and political satire skewering the human foibles of all its characters.

The main character is James Arnold Ross Jr., nicknamed Bunny, son of an oil tycoon. Bunny's sympathetic feelings toward oilfield workers and socialists provoke arguments with his father throughout the story.

The novel served as a loose inspiration for the 2007 film There Will Be Blood.

Characters

Oil

An oil is any neutral, nonpolar chemical substance that is a viscous liquid at ambient temperatures and is both hydrophobic (immiscible with water, literally "water fearing") and lipophilic (miscible with other oils, literally "fat loving"). Oils have a high carbon and hydrogen content and are usually flammable and slippery.

The general definition of oil includes classes of chemical compounds that may be otherwise unrelated in structure, properties, and uses. Oils may be animal, vegetable, or petrochemical in origin, and may be volatile or non-volatile. They are used for food, fuel, lubrication, and the manufacture of paints, plastics, and other materials. Specially prepared oils are used in some religious ceremonies as purifying agents.

Etymology

First attested in English 1176, the word oil comes from Old French oile, from Latin oleum, which in turn comes from the Greek ἔλαιον (elaion), "olive oil, oil" and that from ἐλαία (elaia), "olive tree", "olive fruit". The earliest attested forms of the word are the Mycenaean Greek 𐀁𐀨𐀺, e-ra-wo and 𐀁𐁉𐀺, e-rai-wo, written in the Linear B syllabic script.

Oil (film)

Oil is a 2009 documentary film directed by Massimiliano Mazzotta. It explores the Italian energy provider Saras S.p.A., operating in the area of oil refining and the production of electricity, located in the island of Sardinia, near Cagliari and the impact of oil development on the land and lives of the local population.

Awards

External links