Mat för operation
Fasteregler för vuxna och barn över tio år ; Fram till 6 timmar före din operationstid: Får du äta och dricka som vanligt. In mathematics , an operation is a function from a set to itself. For example, an operation on real numbers will take in real numbers and return a real number. An operation can take zero or more input values also called " operands " or "arguments" to a well-defined output value.
The number of operands is the arity of the operation. The most commonly studied operations are binary operations i. An operation of arity zero, or nullary operation , is a constant. Generally, the arity is taken to be finite. However, infinitary operations are sometimes considered, [ 1 ] in which case the "usual" operations of finite arity are called finitary operations. A partial operation is defined similarly to an operation, but with a partial function in place of a function.
There are two common types of operations: unary and binary. Unary operations involve only one value, such as negation and trigonometric functions. Operations can involve mathematical objects other than numbers. The logical values true and false can be combined using logic operations , such as and , or, and not. Vectors can be added and subtracted. Operations on sets include the binary operations union and intersection and the unary operation of complementation.
Operations may not be defined for every possible value of its domain. For example, in the real numbers one cannot divide by zero [ 11 ] or take square roots of negative numbers. The values for which an operation is defined form a set called its domain of definition or active domain.
Näring och träning för lyckat operationsresultat (1/2)
The set which contains the values produced is called the codomain , but the set of actual values attained by the operation is its codomain of definition, active codomain, image or range. Operations can involve dissimilar objects: a vector can be multiplied by a scalar to form another vector an operation known as scalar multiplication , [ 13 ] and the inner product operation on two vectors produces a quantity that is scalar.
The values combined are called operands , arguments , or inputs , and the value produced is called the value , result , or output. Operations can have fewer or more than two inputs including the case of zero input and infinitely many inputs [ 1 ]. An operator is similar to an operation in that it refers to the symbol or the process used to denote the operation, hence their point of view is different.
The set X n is called the domain of the operation, the output set is called the codomain of the operation, and the fixed non-negative integer n the number of operands is called the arity of the operation. Thus a unary operation has arity one, and a binary operation has arity two. An operation of arity zero, called a nullary operation, is simply an element of the codomain Y.
The above describes what is usually called a finitary operation , referring to the finite number of operands the value n. There are obvious extensions where the arity is taken to be an infinite ordinal or cardinal , [ 1 ] or even an arbitrary set indexing the operands. Often, the use of the term operation implies that the domain of the function includes a power of the codomain i.
An example of an internal operation is vector addition , where two vectors are added and result in a vector. An example of an external operation is scalar multiplication , where a vector is multiplied by a scalar and result in a vector. Contents move to sidebar hide. Article Talk. Read Edit View history. Tools Tools. Download as PDF Printable version.
In other projects. Wikidata item. Not to be confused with Operator mathematics.
Kostråd före & efter operation
Addition, multiplication, division, Types of operation [ edit ]. Definition [ edit ]. See also [ edit ].