5.8
7.3
6.502
6.876
6.3
7.127
7.385
6.7
6.244
7.29
8.5
6.645
6.909
7.087
7.102
Ternary operation GudangMovies21 Rebahinxxi LK21
In mathematics, a ternary operation is an n-ary operation with n = 3. A ternary operation on a set A takes any given three elements of A and combines them to form a single element of A.
In computer science, a ternary operator is an operator that takes three arguments as input and returns one output.
Examples
The function
T
(
a
,
b
,
c
)
=
a
b
+
c
{\displaystyle T(a,b,c)=ab+c}
is an example of a ternary operation on the integers (or on any structure where
+
{\displaystyle +}
and
×
{\displaystyle \times }
are both defined). Properties of this ternary operation have been used to define planar ternary rings in the foundations of projective geometry.
In the Euclidean plane with points a, b, c referred to an origin, the ternary operation
[
a
,
b
,
c
]
=
a
−
b
+
c
{\displaystyle [a,b,c]=a-b+c}
has been used to define free vectors. Since (abc) = d implies b – a = c – d, the directed line segments b – a and c – d are equipollent and are associated with the same free vector. Any three points in the plane a, b, c thus determine a parallelogram with d at the fourth vertex.
In projective geometry, the process of finding a projective harmonic conjugate is a ternary operation on three points. In the diagram, points A, B and P determine point V, the harmonic conjugate of P with respect to A and B. Point R and the line through P can be selected arbitrarily, determining C and D. Drawing AC and BD produces the intersection Q, and RQ then yields V.
Suppose A and B are given sets and
B
(
A
,
B
)
{\displaystyle {\mathcal {B}}(A,B)}
is the collection of binary relations between A and B. Composition of relations is always defined when A = B, but otherwise a ternary composition can be defined by
[
p
,
q
,
r
]
=
p
q
T
r
{\displaystyle [p,q,r]=pq^{T}r}
where
q
T
{\displaystyle q^{T}}
is the converse relation of q. Properties of this ternary relation have been used to set the axioms for a heap.
In Boolean algebra,
T
(
A
,
B
,
C
)
=
A
C
+
(
1
−
A
)
B
{\displaystyle T(A,B,C)=AC+(1-A)B}
defines the formula
(
A
∨
B
)
∧
(
¬
A
∨
C
)
{\displaystyle (A\lor B)\land (\lnot A\lor C)}
.
Computer science
In computer science, a ternary operator is an operator that takes three arguments (or operands). The arguments and result can be of different types. Many programming languages that use C-like syntax feature a ternary operator, ?:, which defines a conditional expression. In some languages, this operator is referred to as the conditional operator.
In Python, the ternary conditional operator reads x if C else y. Python also supports ternary operations called array slicing, e.g. a[b:c] return an array where the first element is a[b] and last element is a[c-1]. OCaml expressions provide ternary operations against records, arrays, and strings: a.[b]<-c would mean the string a where index b has value c.
The multiply–accumulate operation is another ternary operator.
Another example of a ternary operator is between, as used in SQL.
The Icon programming language has a "to-by" ternary operator: the expression 1 to 10 by 2 generates the odd integers from 1 through 9.
In Excel formulae, the form is =if(C, x, y).
See also
Unary operation
Unary function
Binary operation
Iterated binary operation
Binary function
Median algebra or Majority function
Ternary conditional operator for a list of ternary operators in computer programming languages
Ternary Exclusive or
Ternary equivalence relation
References
External links
Media related to Ternary operations at Wikimedia Commons
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How do you use the ? : (conditional) operator in JavaScript?
Jun 7, 2011 · Just to clarify the name: ternary is the type of operator (i.e. it has 3 parts). The name of that specific ternary operator is the conditional operator. There just happens to only be one ternary operator in JS so the terms get misused. –
How do I use the conditional (ternary) operator? - Stack Overflow
It's most commonly used in assignment operations, although it has other uses as well. The ternary operator ? is a way of shortening an if-else clause, and is also called an immediate-if statement in other languages (IIf(condition,true-clause,false-clause) in VB, for example). For example: bool Three = SOME_VALUE; int x = Three ? 3 : 0; is the ...
What is the idiomatic Go equivalent of C's ternary operator?
Nov 14, 2013 · No, Go doesn't have a ternary operator. Using if/else syntax is the idiomatic way. Why does Go not have the ?: operator? There is no ternary testing operation in Go. You may use the following to achieve the same result: if expr { n = trueVal } else { n = falseVal }
asp.net mvc 3 - How to use ternary operator in razor (specifically …
For those of you who use ASP.net with VB razor the ternary operator is also possible. It must be, as well, inside a razor expression: @(Razor_Expression) and the ternary operator works as follows: If(BooleanTestExpression, "TruePart", "FalsePart") The same code example shown here with VB razor looks like this:
Is there a conditional ternary operator in VB.NET?
Mar 28, 2018 · VB doesn't support Short Circuit evaluation (except for the AndAlso operator), so VB programmers don't really expect that they can safely evaluate half an operation. But point taken, also iif is a hack function that was put in for backward compatibility otherwise it would be a …
Ternary operator for values in Angular 2+ template
Aug 14, 2018 · Learn how to use the ternary operator in Angular 2+ templates with this example.
Does Python have a ternary conditional operator? - Stack Overflow
Dec 27, 2008 · So, a ternary conditional operation is of the form: expression1 if expression2 else expression3 expression3 will be lazily evaluated (that is, evaluated only if expression2 is false in a boolean context). And because of the recursive definition, you can chain them indefinitely (though it may considered bad style.)
Ternary operator in PowerShell - Stack Overflow
Jul 10, 2015 · @Damien_The_Unbeliever That's technically true, but it's often called ternary operator. "Since this operator is often the only existing ternary operator in the language, it is sometimes simply referred to as "the ternary operator". In some languages, this operator is referred to as "the conditional operator." Ternary operation –
Benefits of using the conditional ?: (ternary) operator
I would avoid using the ternary operator in situations that require if/else if/else, nested if/else, or if/else branch logic that results in the evaluation of multiple lines. Applying the ternary operator in these situations would likely result in unreadable, confusing, and …
Kotlin Ternary Conditional Operator - Stack Overflow
May 26, 2017 · So this line is so simple and much readable than ternary operator. when we use more than one ternary operator in java it seems horrible. But here we have a clear syntax. even we can write it in multiple line too.
