Chapter 15 slides - University of Hawaii
... • Lambda notation is used to specify functions and function definitions. Function applications and data 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 name ...
... • Lambda notation is used to specify functions and function definitions. Function applications and data 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 name ...
Ch1516rev
... 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 ...
... 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 ...
functional prog. in scheme
... • Here’s compose for two functions in Scheme (define (compose2 f g) (lambda (x) (f (g x)))) • Note that compose calls lambda which returns a new function that applies f to the result of applying g to x • We’ll look at how the variable environments work to support this in the next topic, closures • B ...
... • Here’s compose for two functions in Scheme (define (compose2 f g) (lambda (x) (f (g x)))) • Note that compose calls lambda which returns a new function that applies f to the result of applying g to x • We’ll look at how the variable environments work to support this in the next topic, closures • B ...
Chapter 1
... 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 ...
... 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 ...
recursive functions
... Expressions for Recursive Functions A new notation: label(a, E) denotes the expression E , provided that occurences of a within E are to be referred as a whole. For example, for the latter function the notation would be label(!, λ((n)(n = 0 → 1, T → n · (n − 1)!) (There is a way to describe recursi ...
... Expressions for Recursive Functions A new notation: label(a, E) denotes the expression E , provided that occurences of a within E are to be referred as a whole. For example, for the latter function the notation would be label(!, λ((n)(n = 0 → 1, T → n · (n − 1)!) (There is a way to describe recursi ...
Notes - Cornell Computer Science
... interesting problems. That language should have a rich type system. Types provide high value in precisely specifying programming tasks and in reasoning about whether a program accomplishes them “according to the spec.” 2.It is characteristic of Cornell CS that the enduring intellectual themes are p ...
... interesting problems. That language should have a rich type system. Types provide high value in precisely specifying programming tasks and in reasoning about whether a program accomplishes them “according to the spec.” 2.It is characteristic of Cornell CS that the enduring intellectual themes are p ...
fp_in_scheme
... • Here’s compose for two functions in Scheme (define (compose2 f g) (lambda (x) (f (g x)))) • Note that compose calls lambda which returns a new function that applies f to the result of applying g to x • We’ll look at how the variable environments work to support this in the next topic, closures • B ...
... • Here’s compose for two functions in Scheme (define (compose2 f g) (lambda (x) (f (g x)))) • Note that compose calls lambda which returns a new function that applies f to the result of applying g to x • We’ll look at how the variable environments work to support this in the next topic, closures • B ...
Modeling Data With Functional Programming In R
... notice how the mechanics of the iteration must be implemented explicitly. This means getting dirty with indices and initial values. It also means comingling the scopes of two distinct operations. If we want to preserve the labels, that also must be done explicitly. All these additional steps add com ...
... notice how the mechanics of the iteration must be implemented explicitly. This means getting dirty with indices and initial values. It also means comingling the scopes of two distinct operations. If we want to preserve the labels, that also must be done explicitly. All these additional steps add com ...
PowerPoint
... • Lambda notation is used to specify functions and function definitions. Function applications and data 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 name ...
... • Lambda notation is used to specify functions and function definitions. Function applications and data 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 name ...
scheme1
... • Is (F A B) a call to F, or is it just data? • All literal data must be quoted (atoms, too) • (QUOTE (F A B)) is the list (F A B) – QUOTE is not a function, but a special form – The arguments to a special form are not evaluated or evaluated in some special manner • '(F A B) is another way to quote ...
... • Is (F A B) a call to F, or is it just data? • All literal data must be quoted (atoms, too) • (QUOTE (F A B)) is the list (F A B) – QUOTE is not a function, but a special form – The arguments to a special form are not evaluated or evaluated in some special manner • '(F A B) is another way to quote ...
Functional Programming
... performed by a left-to-right reduction sequence. If the expression is reducible, the reduction sequence will terminate. If the expression is irreducible the reduction will not terminate and also, any other reduction sequence will not terminate as well. The left-to-right reduction corresponds to the ...
... performed by a left-to-right reduction sequence. If the expression is reducible, the reduction sequence will terminate. If the expression is irreducible the reduction will not terminate and also, any other reduction sequence will not terminate as well. The left-to-right reduction corresponds to the ...
Type Class
... – symbol always represents the same value – Equational reasoning (equals can be substituted by equals) • easy mathematical manipulation, parallel execution, etc. ...
... – symbol always represents the same value – Equational reasoning (equals can be substituted by equals) • easy mathematical manipulation, parallel execution, etc. ...
Lecture 12
... Note: although [x] matches the second equation, we will always apply the first equation. Examples fold (||) [False, True, False] => True fold (++) [“Hello “, “world”, “!”] => “Hello world!” fold (*) [1..5] => 120 n.b infix op. Becomes prefix in ‘(‘ ‘)’ ...
... Note: although [x] matches the second equation, we will always apply the first equation. Examples fold (||) [False, True, False] => True fold (++) [“Hello “, “world”, “!”] => “Hello world!” fold (*) [1..5] => 120 n.b infix op. Becomes prefix in ‘(‘ ‘)’ ...
Functional Programming
... same way as tail, except that safetail maps the empty list to the empty list, whereas tail gives an error in this case. Define safetail using: (i) a conditional expression; ...
... same way as tail, except that safetail maps the empty list to the empty list, whereas tail gives an error in this case. Define safetail using: (i) a conditional expression; ...
Functional
... Useful primitive functions Predicates Arithmetic functions Built-in functions Constructing new functions Temporary variable scopes Control structures: if, case, iteration Output Debugging Comparing functional and imperative languages ...
... Useful primitive functions Predicates Arithmetic functions Built-in functions Constructing new functions Temporary variable scopes Control structures: if, case, iteration Output Debugging Comparing functional and imperative languages ...
Haskell
... Haskell use Lists extensively. The following is an example of a list declaration: let a = [1, 2, 3, 4]. Tuples differ from lists in that they may contain elements of multiple types, but the length of a tuple is determined by its type declaration. Tuple elements are contained in parenthesis with eac ...
... Haskell use Lists extensively. The following is an example of a list declaration: let a = [1, 2, 3, 4]. Tuples differ from lists in that they may contain elements of multiple types, but the length of a tuple is determined by its type declaration. Tuple elements are contained in parenthesis with eac ...
Appendix B FUNCTIONAL PROGRAMMING WITH SCHEME
... to identifiers, but once made, these bindings cannot change. The principal operation is function application. Functions are treated as first-class objects that may be stored in data structures, passed as parameters, and returned as function results. A functional language supplies primitive functions ...
... to identifiers, but once made, these bindings cannot change. The principal operation is function application. Functions are treated as first-class objects that may be stored in data structures, passed as parameters, and returned as function results. A functional language supplies primitive functions ...
2. 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, e ...
... 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, e ...
x + 1 - Postech
... Perhaps the most fearsome of the Mage spells, Polymorph alters the physical form of its target. This metamorphosis changes man to beast, forever warping both mind and body. This sorcery wholly transforms the victim into a creature of the wolds, thus losing their reasoning - making commands for direc ...
... Perhaps the most fearsome of the Mage spells, Polymorph alters the physical form of its target. This metamorphosis changes man to beast, forever warping both mind and body. This sorcery wholly transforms the victim into a creature of the wolds, thus losing their reasoning - making commands for direc ...
4on1 - FSU Computer Science
... Absence of side effects makes expressions referentially transparent: the value of an expression depends solely on the function return values in it and not on evaluation order and/or values of global variables A function can always be counted on to return the same results with the same input paramete ...
... Absence of side effects makes expressions referentially transparent: the value of an expression depends solely on the function return values in it and not on evaluation order and/or values of global variables A function can always be counted on to return the same results with the same input paramete ...
Page 1 Vol. 22 (NE-1), ENC Marzo 2012 35 Universidad de
... A further well established theory for exact real number computation is LRT (Language for Redundant Test) [10]. It has been proved that any computable first order function can be defined in LRT [13]. Moreover, an implementation of LRT in Haskell has been presented on Marcial et. al [11]. However, its ...
... A further well established theory for exact real number computation is LRT (Language for Redundant Test) [10]. It has been proved that any computable first order function can be defined in LRT [13]. Moreover, an implementation of LRT in Haskell has been presented on Marcial et. al [11]. However, its ...
List
... Simple but provides the core constructs Functions as first class objects Lexical scoping – Earlier LISPs did not do that (dynamic) ...
... Simple but provides the core constructs Functions as first class objects Lexical scoping – Earlier LISPs did not do that (dynamic) ...
Lecture 11 - Nipissing University Word
... evaluate them) that will be used as names on introduced variables. They can be referred to by any code that appears in the body form. When let is invoked, each of value1, value2, …, valuen is evaluated in turn. When they all have been evaluated, the new variables are given their values. Examine the ...
... evaluate them) that will be used as names on introduced variables. They can be referred to by any code that appears in the body form. When let is invoked, each of value1, value2, …, valuen is evaluated in turn. When they all have been evaluated, the new variables are given their values. Examine the ...