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The names "lambda abstraction", "lambda function", and "lambda expression" refer to the notation of function abstraction in lambda calculus, where the usual function f (x) = M would be written (λx. M), and where M is an expression that uses x. Compare to the Python syntax of lambda x: M.
Python's limited support for anonymous functions is the lambda construct. An example is the anonymous function which squares its input, called with the argument of 5: An example is the anonymous function which squares its input, called with the argument of 5:
Python is a high-level, general-purpose programming language. Its design philosophy emphasizes code readability with the use of significant indentation. [33] Python is dynamically type-checked and garbage-collected. It supports multiple programming paradigms, including structured (particularly procedural), object-oriented and functional ...
In this example, the lambda expression (lambda (book) (>= (book-sales book) threshold)) appears within the function best-selling-books. When the lambda expression is evaluated, Scheme creates a closure consisting of the code for the lambda expression and a reference to the threshold variable, which is a free variable inside the lambda expression.
In Lambda calculus, the concept of an if-then-else conditional can be expressed using the following expressions: true = λx. λy. x false = λx. λy. y ifThenElse = (λc. λx. λy. (c x y)) true takes up to two arguments and once both are provided (see currying), it returns the first argument given.
In this case particular lambda terms (which define functions) are considered as values. "Running" (beta reducing) the fixed-point combinator on the encoding gives a lambda term for the result which may then be interpreted as fixed-point value. Alternately, a function may be considered as a lambda term defined purely in lambda calculus.
Lambda lifting is a meta-process that restructures a computer program so that functions are defined independently of each other in a global scope.
Lambda expression may refer to: Lambda expression in computer programming, also called an anonymous function , is a defined function not bound to an identifier. Lambda expression in lambda calculus , a formal system in mathematical logic and computer science for expressing computation by way of variable binding and substitution.