CITS3211 FUNCTIONAL PROGRAMMING 5. Higherorder functions
... − e.g. by naming an explicit constant − this gives concise programs and reusable code − it’s better to write one program and use it ten times than it is to write ten slightlydifferent programs Consider asc’sort, which sorts a list into ascending order asc’sort :: Ord a => [a] > [a] ...
... − e.g. by naming an explicit constant − this gives concise programs and reusable code − it’s better to write one program and use it ten times than it is to write ten slightlydifferent programs Consider asc’sort, which sorts a list into ascending order asc’sort :: Ord a => [a] > [a] ...
Lect_8_9
... Polymorphic type expressions - describe families of types. [a] is the family of types consisting of, for every type a, the type of lists of a. Lists of integers (e.g. [1,2,3]), lists of characters (['a','b','c']), even lists of lists of integers, etc., are all members of this family. a – type variab ...
... Polymorphic type expressions - describe families of types. [a] is the family of types consisting of, for every type a, the type of lists of a. Lists of integers (e.g. [1,2,3]), lists of characters (['a','b','c']), even lists of lists of integers, etc., are all members of this family. a – type variab ...
Part 1
... a set of functional forms to construct complex functions, a function application operation, some structure to represent data In functional programming, functions are viewed as values themselves, which can be computed by other functions and can be parameters to other functions Functions are f ...
... a set of functional forms to construct complex functions, a function application operation, some structure to represent data In functional programming, functions are viewed as values themselves, which can be computed by other functions and can be parameters to other functions Functions are f ...
Lambda expressions, functions and binding
... Lambda calculus is due to the logician Alonzo Church (1903–1995). \ is the closest thing on the keyboard to lambda. The lambda calculus is a theory of functions, that was designed before computers existed. Lambda expressions finally came to Java in 2014, only about 55 years after they came to functi ...
... Lambda calculus is due to the logician Alonzo Church (1903–1995). \ is the closest thing on the keyboard to lambda. The lambda calculus is a theory of functions, that was designed before computers existed. Lambda expressions finally came to Java in 2014, only about 55 years after they came to functi ...
ppt
... ((f.g.x.(f (g x)) x.(s x)) x.(i x)) (g.x.(x.(s x) (g x)) x.(i x)) x.(x.(s x) (x.(i x) x)) x.(x.(s x) (i x)) x.(s (i x)) ...
... ((f.g.x.(f (g x)) x.(s x)) x.(i x)) (g.x.(x.(s x) (g x)) x.(i x)) x.(x.(s x) (x.(i x) x)) x.(x.(s x) (i x)) x.(s (i x)) ...
Slides - Chapter 10
... • Logic programming is tied to the notion of constructive proofs, but at a more abstract level: – the logic programmer writes a set of axioms that allow the computer to discover a constructive proof for each particular set of inputs Copyright © 2005 Elsevier ...
... • Logic programming is tied to the notion of constructive proofs, but at a more abstract level: – the logic programmer writes a set of axioms that allow the computer to discover a constructive proof for each particular set of inputs Copyright © 2005 Elsevier ...
Functional Programming
... • In the mid 70’s Sussman and Steele (MIT) defined Scheme as a new LISP-like Language • Goal was to move Lisp back toward it’s simpler roots and incorporate ideas which had been developed in the PL community since 1960. – Uses only static scoping – More uniform in treating functions as first-class o ...
... • In the mid 70’s Sussman and Steele (MIT) defined Scheme as a new LISP-like Language • Goal was to move Lisp back toward it’s simpler roots and incorporate ideas which had been developed in the PL community since 1960. – Uses only static scoping – More uniform in treating functions as first-class o ...
Functional Programming Basics
... expression is its value, and any subexpression can be replaced by any other expression equal in value. • The value of an expression is independent of its position only provided we remain within the scopes of the definitions which apply to the names occurring in the ...
... expression is its value, and any subexpression can be replaced by any other expression equal in value. • The value of an expression is independent of its position only provided we remain within the scopes of the definitions which apply to the names occurring in the ...
20100222 F# Let the fun begin – part 1
... MSDN Library http://msdn.microsoft.com/en-us/library/bb669144.aspx ...
... MSDN Library http://msdn.microsoft.com/en-us/library/bb669144.aspx ...
Lisp - University of Connecticut
... be a cleaner, more modern, and simpler version than the contemporary dialects of Lisp • Uses only static scoping • Functions are first-class entities – They can be the values of expressions and elements of lists – They can be assigned to variables, passed as parameters, and returned from functions C ...
... be a cleaner, more modern, and simpler version than the contemporary dialects of Lisp • Uses only static scoping • Functions are first-class entities – They can be the values of expressions and elements of lists – They can be assigned to variables, passed as parameters, and returned from functions C ...
ML Functions - Welcome to Computer Science
... Even Functions may define other Functions!, as in this example: Fun try (a, x) = a x; > val try = fn : (‘a -> ‘b) * ‘a -> ‘b ...
... Even Functions may define other Functions!, as in this example: Fun try (a, x) = a x; > val try = fn : (‘a -> ‘b) * ‘a -> ‘b ...
val
... • A functional form that takes two functions as parameters and yields a function whose value is the first actual parameter function applied to the application of the second Form: h f ° g which means h (x) f ( g ( x)) For f (x) x + 2 and g (x) 3 * x, h f ° g yields (3 * x)+ 2 ...
... • A functional form that takes two functions as parameters and yields a function whose value is the first actual parameter function applied to the application of the second Form: h f ° g which means h (x) f ( g ( x)) For f (x) x + 2 and g (x) 3 * x, h f ° g yields (3 * x)+ 2 ...
LISP
... 10. The representation of LISP programs as LISP data that can be manipulated by object programs. This has prevented the separation between system programmers and application programmers. Everyone can “improve” his LISP, and many of these improvements have developed into “improvements” to the languag ...
... 10. The representation of LISP programs as LISP data that can be manipulated by object programs. This has prevented the separation between system programmers and application programmers. Everyone can “improve” his LISP, and many of these improvements have developed into “improvements” to the languag ...
notes
... When we say a given term has a given type (for example, λx.x2 has type Z → Z), we are saying that the value of the term after evaluation at runtime, if it exists, will be a member of the class of similar values represented by the type. In the pure untyped λ-calculus, there are no types, and all term ...
... When we say a given term has a given type (for example, λx.x2 has type Z → Z), we are saying that the value of the term after evaluation at runtime, if it exists, will be a member of the class of similar values represented by the type. In the pure untyped λ-calculus, there are no types, and all term ...
Example
... – Substitute the actual for the formal in the function body. – Evaluate the body. – Return its value as the answer. • Sometimes outermost evaluation does redundant work because it re-evaluates an actual parameter. A clever implementation would have kept track of the substituted copies and recognize ...
... – Substitute the actual for the formal in the function body. – Evaluate the body. – Return its value as the answer. • Sometimes outermost evaluation does redundant work because it re-evaluates an actual parameter. A clever implementation would have kept track of the substituted copies and recognize ...
functional form
... A functional form that takes a single function as a parameter and yields a list of values obtained by applying the given function to each element of a list of parameters ...
... A functional form that takes a single function as a parameter and yields a list of values obtained by applying the given function to each element of a list of parameters ...
curried functions - Universitatea "Politehnica"
... Polymorphic type expressions - describe families of types. [a] is the family of types consisting of, for every type a, the type of lists of a. Lists of integers (e.g. [1,2,3]), lists of characters (['a','b','c']), even lists of lists of integers, etc., are all members of this family. a – type variab ...
... Polymorphic type expressions - describe families of types. [a] is the family of types consisting of, for every type a, the type of lists of a. Lists of integers (e.g. [1,2,3]), lists of characters (['a','b','c']), even lists of lists of integers, etc., are all members of this family. a – type variab ...
08 – Functional Paradigm and Scheme
... In our map example, back on page 9, we created a couple of very small functions (“cube” and “negate”) simply to test our map function. It is possible to create these functions on the fly without assigning names to them. We commonly do this in our programs with numeric constants – for example, we oft ...
... In our map example, back on page 9, we created a couple of very small functions (“cube” and “negate”) simply to test our map function. It is possible to create these functions on the fly without assigning names to them. We commonly do this in our programs with numeric constants – for example, we oft ...
slides
... - A mid-1970s dialect of LISP, designed to be cleaner, more modern, and simpler version than the contemporary dialects of LISP - Uses only static scoping - Functions are first-class entities - They can be the values of expressions and elements of lists - They can be assigned to variables and passed ...
... - A mid-1970s dialect of LISP, designed to be cleaner, more modern, and simpler version than the contemporary dialects of LISP - Uses only static scoping - Functions are first-class entities - They can be the values of expressions and elements of lists - They can be assigned to variables and passed ...
15. Functional Programming Languages.
... - A mid-1970s dialect of LISP, designed to be cleaner, more modern, and simpler version than the contemporary dialects of LISP - Uses only static scoping - Functions are first-class entities - They can be the values of expressions and elements of lists - They can be assigned to variables and passed ...
... - A mid-1970s dialect of LISP, designed to be cleaner, more modern, and simpler version than the contemporary dialects of LISP - Uses only static scoping - Functions are first-class entities - They can be the values of expressions and elements of lists - They can be assigned to variables and passed ...
Chapter 14 Functional Programming Languages
... - A mid-1970s dialect of LISP, designed to be cleaner, more modern, and simpler version than the contemporary dialects of LISP - Uses only static scoping - Functions are first-class entities - They can be the values of expressions and elements of lists - They can be assigned to variables and passed ...
... - A mid-1970s dialect of LISP, designed to be cleaner, more modern, and simpler version than the contemporary dialects of LISP - Uses only static scoping - Functions are first-class entities - They can be the values of expressions and elements of lists - They can be assigned to variables and passed ...
D16/B330/3C11 Functional Programming Lecture 5
... Offside rule / where blocks / evaluation Partial / polymorphic functions Patterns and pattern-matching Recursive functions Lists Functions using lists Recursive functions using lists ...
... Offside rule / where blocks / evaluation Partial / polymorphic functions Patterns and pattern-matching Recursive functions Lists Functions using lists Recursive functions using lists ...
Document
... - The previous examples have used it - 2. Apply to All - one form in Scheme is mapcar - Applies the given function to all elements of the given list; result is a list of the results (DEFINE (mapcar fun lis) ...
... - The previous examples have used it - 2. Apply to All - one form in Scheme is mapcar - Applies the given function to all elements of the given list; result is a list of the results (DEFINE (mapcar fun lis) ...
