An introduction to functional programming using Haskell
... arguments to functions, returned as results, placed in data structures, etc. ...
... arguments to functions, returned as results, placed in data structures, etc. ...
Annotated_Chapter_4_slides
... The symbol is the Greek letter lambda, and is typed at the keyboard as a backslash \. In mathematics, nameless functions are usually denoted using the symbol, as in x x+x. In Haskell, the use of the symbol for nameless functions comes from the lambda calculus, the theory of functions o ...
... The symbol is the Greek letter lambda, and is typed at the keyboard as a backslash \. In mathematics, nameless functions are usually denoted using the symbol, as in x x+x. In Haskell, the use of the symbol for nameless functions comes from the lambda calculus, the theory of functions o ...
Chapter 14a - McGraw Hill Higher Education
... Eager evaluation = evaluating arguments at the beginning of the call. – Advantage: efficiency Copyright © 2006 The McGraw-Hill Companies, Inc. ...
... Eager evaluation = evaluating arguments at the beginning of the call. – Advantage: efficiency Copyright © 2006 The McGraw-Hill Companies, Inc. ...
functional form
... and yields a function whose value is the first actual parameter function applied to the application of the second means is defined as 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 ...
... and yields a function whose value is the first actual parameter function applied to the application of the second means is defined as 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 ...
λ Calculus - Computer Science at RPI
... the heart of functional programming languages. We will use it as a foundation for sequential computation. The λ calculus is Turing-complete, that is, any computable function can be expressed and evaluated using the calculus. The λ calculus is useful to study programming language concepts because of ...
... the heart of functional programming languages. We will use it as a foundation for sequential computation. The λ calculus is Turing-complete, that is, any computable function can be expressed and evaluated using the calculus. The λ calculus is useful to study programming language concepts because of ...
type - ktuce
... • As well as the functions in the standard prelude, you can also define your own functions; • New functions are defined within a script, a text file comprising a sequence of definitions; • By convention, Haskell scripts usually have a .hs suffix on their filename. This is not mandatory, but is usefu ...
... • As well as the functions in the standard prelude, you can also define your own functions; • New functions are defined within a script, a text file comprising a sequence of definitions; • By convention, Haskell scripts usually have a .hs suffix on their filename. This is not mandatory, but is usefu ...
Scheme: More function examples, higher
... – Each call made by fiblist to fib repeats work done in the previous call. – Solution: Use the contents of the list as we build it up. That is, if we have a list of the first n-1 Fibonacci numbers, it should be very easy to add the n-th Fibonacci number to this list. ...
... – Each call made by fiblist to fib repeats work done in the previous call. – Solution: Use the contents of the list as we build it up. That is, if we have a list of the first n-1 Fibonacci numbers, it should be very easy to add the n-th Fibonacci number to this list. ...
Thinking in Clojure 26-Jul-16
... Rule 4 always holds. Think about what you are doing now, not what some recursive call is doing ...
... Rule 4 always holds. Think about what you are doing now, not what some recursive call is doing ...
conditional expressions
... The symbol is the Greek letter lambda, and is typed at the keyboard as a backslash \. In mathematics, nameless functions are usually denoted using the symbol, as in x x+x. In Haskell, the use of the symbol for nameless functions comes from the lambda calculus, the theory of functions o ...
... The symbol is the Greek letter lambda, and is typed at the keyboard as a backslash \. In mathematics, nameless functions are usually denoted using the symbol, as in x x+x. In Haskell, the use of the symbol for nameless functions comes from the lambda calculus, the theory of functions o ...
conditional expressions
... The symbol is the Greek letter lambda, and is typed at the keyboard as a backslash \. In mathematics, nameless functions are usually denoted using the symbol, as in x x+x. In Haskell, the use of the symbol for nameless functions comes from the lambda calculus, the theory of functions o ...
... The symbol is the Greek letter lambda, and is typed at the keyboard as a backslash \. In mathematics, nameless functions are usually denoted using the symbol, as in x x+x. In Haskell, the use of the symbol for nameless functions comes from the lambda calculus, the theory of functions o ...
LISP
... the result is stored in memory location which is represented as a variable in the program. A purely functional programming language does not use variables and assignment statements. Without variables iterative constructs are not possible. Repetition must be done by recursion. The execution of a func ...
... the result is stored in memory location which is represented as a variable in the program. A purely functional programming language does not use variables and assignment statements. Without variables iterative constructs are not possible. Repetition must be done by recursion. The execution of a func ...
Chapter 2 - Lambda Calculus - Rensselaer Polytechnic Institute
... Given the mathematical functions: f(x) = x2 , g(x) = x+1 f g is the composition of f and g: f g (x) = f(g(x)) f g (x) = f(g(x)) = f(x+1) = (x+1)2 = x2 + 2x + 1 g f (x) = g(f(x)) = g(x2) = x2 + 1 Function composition is therefore not commutative. Function composition can be regarded as a (highe ...
... Given the mathematical functions: f(x) = x2 , g(x) = x+1 f g is the composition of f and g: f g (x) = f(g(x)) f g (x) = f(g(x)) = f(x+1) = (x+1)2 = x2 + 2x + 1 g f (x) = g(f(x)) = g(x2) = x2 + 1 Function composition is therefore not commutative. Function composition can be regarded as a (highe ...
C311 First Class Objects
... Expressible as an anonymous literal value Storable in variables Storable in data structures Having an intrinsic identity (independent of any given name) Comparable for equality with other entities Passable as a parameter to a function Returnable as the result of a function call Constructable at runt ...
... Expressible as an anonymous literal value Storable in variables Storable in data structures Having an intrinsic identity (independent of any given name) Comparable for equality with other entities Passable as a parameter to a function Returnable as the result of a function call Constructable at runt ...
Audio Processing using Haskell
... Imperative programming languages are the usual choice for today’s software. The currently popular CPUs conform to the imperative programming paradigm and allow a fast execution of imperative programs. Nevertheless fnctional programming languages like Haskell [1, 2] became valuable alternatives in th ...
... Imperative programming languages are the usual choice for today’s software. The currently popular CPUs conform to the imperative programming paradigm and allow a fast execution of imperative programs. Nevertheless fnctional programming languages like Haskell [1, 2] became valuable alternatives in th ...
CSP 506 Comparative Programming Languages
... have the same form. e.g., If the list (A B C) is interpreted as data it is a simple list of three atoms, A, B, and C If it is interpreted as a function application, it means that the function named A is applied to the two parameters, B and C • The first LISP interpreter appeared only as a demonstrat ...
... have the same form. e.g., If the list (A B C) is interpreted as data it is a simple list of three atoms, A, B, and C If it is interpreted as a function application, it means that the function named A is applied to the two parameters, B and C • The first LISP interpreter appeared only as a demonstrat ...
Lambda Calculus
... 6.1.1 β reduction with multiple Redex A λ-expression can have multiple Redex at the same time. (E.g. (λx.xkx)((λy.y)(z))). As a result of this there are multiple possible ways to reduce such expressions. It can be shown that the β reduction is con uent3 so each way of reduction leads to the same nor ...
... 6.1.1 β reduction with multiple Redex A λ-expression can have multiple Redex at the same time. (E.g. (λx.xkx)((λy.y)(z))). As a result of this there are multiple possible ways to reduce such expressions. It can be shown that the β reduction is con uent3 so each way of reduction leads to the same nor ...
COMP 356 Programming Language Structures Notes for Chapter 15
... A call (f . . . ) can be evaluated on a parallel machine by:
• assigning one processor to f and one to each
• each processor evaluating an returns its result to the processor evaluating f
• f is evaluated
This works because each ei has no side effects, so the order they ...
... A call (f
Lecture10
... • Can I pass a function as an argument to another function • YES! • The first time you see this, it looks crazy • Just start thinking of a function as a machine that turns ...
... • Can I pass a function as an argument to another function • YES! • The first time you see this, it looks crazy • Just start thinking of a function as a machine that turns ...
Functional programming
... Higher-order functions: functions that take other functions as input parameters or return functions Polymorphism: the ability to write functions that operate on more than one type of data Aggregate constructs for constructing structured objects: the ability to specify a structured object in-line suc ...
... Higher-order functions: functions that take other functions as input parameters or return functions Polymorphism: the ability to write functions that operate on more than one type of data Aggregate constructs for constructing structured objects: the ability to specify a structured object in-line suc ...
fund
... May not improve efficiency if there are multiple pointers to list, but should help if there is only one. ...
... May not improve efficiency if there are multiple pointers to list, but should help if there is only one. ...
A Tutorial Introduction to the Lambda Calculus
... series of applications. We continue until no further reductions are possible. ...
... series of applications. We continue until no further reductions are possible. ...