Defining Functions
... z Patterns are matched in order. For example, the following definition always returns False: _ && _ = False ...
... z Patterns are matched in order. For example, the following definition always returns False: _ && _ = False ...
Haskell: Lambda Expressions
... Finally, λ-calculus allows one to clearly designate in every expression the variables that can be instantiated, by using a λ operator (which gave the calculus its name, in the first place). For example, if we want to express that in f x, the x is a parameter that can be instantiated, we write λx.f x ...
... Finally, λ-calculus allows one to clearly designate in every expression the variables that can be instantiated, by using a λ operator (which gave the calculus its name, in the first place). For example, if we want to express that in f x, the x is a parameter that can be instantiated, we write λx.f x ...
Functions, recursion and lists
... No side effects or modification to variables No concept of control-flow or statements A function can be used everywhere a regular value is used Functions can take other functions as parameters and return other functions as results (higher-order functions) ...
... No side effects or modification to variables No concept of control-flow or statements A function can be used everywhere a regular value is used Functions can take other functions as parameters and return other functions as results (higher-order functions) ...
1 − = − yx 1 = xy 1 x y + 1 x y +
... A function f whose values y depend on the variable x according to an equation in terms of x and y is said to be implicitly defined by the equation in question. Sometimes, but not always, it is possible to solve y in terms of x from the given equation. Then one gets an explicit expression for the fun ...
... A function f whose values y depend on the variable x according to an equation in terms of x and y is said to be implicitly defined by the equation in question. Sometimes, but not always, it is possible to solve y in terms of x from the given equation. Then one gets an explicit expression for the fun ...
7. Introduction to the Lambda Calculus
... Most modern functional languages, on the other hand, use lazy evaluation, that is, expressions are only evaluated when they are needed. Consider: ...
... Most modern functional languages, on the other hand, use lazy evaluation, that is, expressions are only evaluated when they are needed. Consider: ...
Lambda Calculus
... Most modern functional languages, on the other hand, use lazy evaluation, that is, expressions are only evaluated when they are needed. Consider: ...
... Most modern functional languages, on the other hand, use lazy evaluation, that is, expressions are only evaluated when they are needed. Consider: ...
PDF
... Note that this function is not the integer part ([x]), since b−3.5c = −4 and [−3.5] = −3. However, both functions agree for non-negative numbers. The notation for floor and ceiling was introduced by Iverson in 1962[?]. In some texts however, the bracket notation is used to denote the floor function ...
... Note that this function is not the integer part ([x]), since b−3.5c = −4 and [−3.5] = −3. However, both functions agree for non-negative numbers. The notation for floor and ceiling was introduced by Iverson in 1962[?]. In some texts however, the bracket notation is used to denote the floor function ...
ppt
... » it evaluates to a procedure that will later be applied to some arguments producing a result ...
... » it evaluates to a procedure that will later be applied to some arguments producing a result ...
Functional Programming
... (zero? x), (odd? x), (even? x) (eq? x1 x2) tests whether x1 and x2 refer to the same object (eq? 'a 'a) ⇒ #t (eq? '(a b) '(a b)) ⇒ #f (equal? x1 x2) tests whether x1 and x2 are structurally equivalent (equal? 'a 'a) ⇒ #t (equal? '(a b) '(a b)) ⇒ #t (member x xs) returns the sublist of xs that starts ...
... (zero? x), (odd? x), (even? x) (eq? x1 x2) tests whether x1 and x2 refer to the same object (eq? 'a 'a) ⇒ #t (eq? '(a b) '(a b)) ⇒ #f (equal? x1 x2) tests whether x1 and x2 are structurally equivalent (equal? 'a 'a) ⇒ #t (equal? '(a b) '(a b)) ⇒ #t (member x xs) returns the sublist of xs that starts ...
Section 5.10
... The functions we have dealt with so far this year are called elementary functions: they include polynomial, rational, power, exponential, logarithmic, and trigonometric and all other functions that can be obtained from these by addition, subtraction, multiplication, division, root extraction, and ...
... The functions we have dealt with so far this year are called elementary functions: they include polynomial, rational, power, exponential, logarithmic, and trigonometric and all other functions that can be obtained from these by addition, subtraction, multiplication, division, root extraction, and ...
Programming Least Squares Final
... concise code. A result of this, however, is that the code is literally “dense” with meaning, and it can be hard to read if you are not accustomed to functional programming. In our first example, “filter(is_even, q)” was fairly easy to understand (fortunately, we chose a descriptive function name), w ...
... concise code. A result of this, however, is that the code is literally “dense” with meaning, and it can be hard to read if you are not accustomed to functional programming. In our first example, “filter(is_even, q)” was fairly easy to understand (fortunately, we chose a descriptive function name), w ...
CS 116 Tutorial 2 (solutions): Functional abstraction
... Write a function char-countfunction-maker that consumes a predicate and produces a one-argument function. The function that is produced consumes a string and produces the number of characters for which the predicate evaluates to true. ◦ For example, (char-count-function-maker charupper-case?) produc ...
... Write a function char-countfunction-maker that consumes a predicate and produces a one-argument function. The function that is produced consumes a string and produces the number of characters for which the predicate evaluates to true. ◦ For example, (char-count-function-maker charupper-case?) produc ...
doc
... This paper is about the reflections of the authors on a prototyping experiment carried out by the United States Advanced Research Projects Agency (ARPA) in conjunction with the Office of Navel Research (ONR) and the Navel Surface Warfare Center (NSWC). The experiment occurred in the fall of 1993 and ...
... This paper is about the reflections of the authors on a prototyping experiment carried out by the United States Advanced Research Projects Agency (ARPA) in conjunction with the Office of Navel Research (ONR) and the Navel Surface Warfare Center (NSWC). The experiment occurred in the fall of 1993 and ...
