Operation
Operation or Operations may refer to:
- an operation is performed on the basis of an instruction
- Modulo operation
- Military operation, a military action (usually in a military campaign) using deployed forces
- Operations (military staff), staff involved in planning operations
- Combined operations, operations by forces of two or more allied nations
- Operations room, the tactical center providing processed information for command and control of an area of operations
- Special operations, military operations that are unconventional
- Covert operation, an operation which conceals the identity of the sponsor
- Clandestine operation, an intelligence or military operation carried out so that the operation goes unnoticed
- Black operation, an operation that may be outside of standard military protocol or against the law
- Sting operation, an operation designed to catch a person committing a crime, by means of deception
Military operation
A military operation is the coordinated military actions of a state, or a non-state actor, in response to a developing situation. These actions are designed as a military plan to resolve the situation in the state's favor. Operations may be of a combat or non-combat nature and are referred to by a code name for the purpose of national security. Military operations are often known for their more generally accepted common usage names than their actual operational objectives.
Types of military operations
Military operations can be classified by the scale and scope of force employment, and their impact on the wider conflict. The scope of military operations can be:
Set theory (music)
Musical set theory provides concepts for categorizing musical objects and describing their relationships. Many of the notions were first elaborated by Howard Hanson (1960) in connection with tonal music, and then mostly developed in connection with atonal music by theorists such as Allen Forte (1973), drawing on the work in twelve-tone theory of Milton Babbitt. The concepts of set theory are very general and can be applied to tonal and atonal styles in any equally tempered tuning system, and to some extent more generally than that.
One branch of musical set theory deals with collections (sets and permutations) of pitches and pitch classes (pitch-class set theory), which may be ordered or unordered, and can be related by musical operations such as transposition, inversion, and complementation. The methods of musical set theory are sometimes applied to the analysis of rhythm as well.
Mathematical set theory versus musical set theory
Although musical set theory is often thought to involve the application of mathematical set theory to music, there are numerous differences between the methods and terminology of the two. For example, musicians use the terms transposition and inversion where mathematicians would use translation and reflection. Furthermore, where musical set theory refers to ordered sets, mathematics would normally refer to tuples or sequences (though mathematics does speak of ordered sets, and although these can be seen to include the musical kind in some sense, they are far more involved).
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