Chapter 12 - Binus Repository
... A functional form that takes a list of functions as parameters and yields a list of the results of applying each of its parameter functions to a given parameter Form: [f, g] For f (x) x * x * x and g (x) x + 3, [f, g] (4) yields (64, 7) 3. Apply-to-all A functional form that takes a single funct ...
... A functional form that takes a list of functions as parameters and yields a list of the results of applying each of its parameter functions to a given parameter Form: [f, g] For f (x) x * x * x and g (x) x + 3, [f, g] (4) yields (64, 7) 3. Apply-to-all A functional form that takes a single funct ...
Introducing Haskell COS 441 Slides 3 Slide content credits:
... Expressions, Values, Types • The phrases on which we calculate are called expressions. • When no more unfolding of user-defined functions or application of primitives like + is possible, the resulting expression is called a value. • A type is a collection of expressions with common attributes. Ever ...
... Expressions, Values, Types • The phrases on which we calculate are called expressions. • When no more unfolding of user-defined functions or application of primitives like + is possible, the resulting expression is called a value. • A type is a collection of expressions with common attributes. Ever ...
An Operational Semantics for Declarative Multi
... easily. [22] solves this problem by introducing a variant of Launchbury’s relation which is labeled with the names of the already used variables. The only disadvantage of our approach is that black holes (a detectably selfdependent infinite loop) are not detected at the semantical level. However, th ...
... easily. [22] solves this problem by introducing a variant of Launchbury’s relation which is labeled with the names of the already used variables. The only disadvantage of our approach is that black holes (a detectably selfdependent infinite loop) are not detected at the semantical level. However, th ...
Lecture 2
... := and = Ada x := x+1 take the old value of x and increment it This is a common and useful operation. Haskell x = x+1 Assert that x and x+1 are the same value. This equation has no solution. It is a syntactically-valid statement, but it is not solvable. There is no solution for x. So this equation ...
... := and = Ada x := x+1 take the old value of x and increment it This is a common and useful operation. Haskell x = x+1 Assert that x and x+1 are the same value. This equation has no solution. It is a syntactically-valid statement, but it is not solvable. There is no solution for x. So this equation ...
Course Proposal for ESSLLI 2015
... In this course we aim to describe Lambek calculus and how it is used to formalise syntax and semantics of fragments of natural languages (mainly English) and give a survey of the principal mathematical results concerning this calculus. The course should be interesting for logic students eager to und ...
... In this course we aim to describe Lambek calculus and how it is used to formalise syntax and semantics of fragments of natural languages (mainly English) and give a survey of the principal mathematical results concerning this calculus. The course should be interesting for logic students eager to und ...
Class Notes 2b: Scheme Reference
... • It correctly treats functional arguments, thanks to lexical scoping. – Functions are first-class objects: they can be created, assigned to variables, passed as arguments, returned as values. ...
... • It correctly treats functional arguments, thanks to lexical scoping. – Functions are first-class objects: they can be created, assigned to variables, passed as arguments, returned as values. ...
Computability and Incompleteness
... ization of pornography, “it may be hard to define precisely, but I know it when I see it.” Why, then, is such a definition desirable? In 1900 the great mathematician David Hilbert addressed the international congress of mathematicians in Paris, and presented a list of 23 problems that he hoped would ...
... ization of pornography, “it may be hard to define precisely, but I know it when I see it.” Why, then, is such a definition desirable? In 1900 the great mathematician David Hilbert addressed the international congress of mathematicians in Paris, and presented a list of 23 problems that he hoped would ...
x - Sites
... The symbol dy/dx—which was introduced by Leibniz—should not be regarded as a ratio (for the time being). It is simply a synonym for f’(x). Nonetheless, it is very useful and suggestive—especially when used in conjunction with increment notation. ...
... The symbol dy/dx—which was introduced by Leibniz—should not be regarded as a ratio (for the time being). It is simply a synonym for f’(x). Nonetheless, it is very useful and suggestive—especially when used in conjunction with increment notation. ...
X - Rensselaer Polytechnic Institute: Computer Science
... Language Semantics • Semantics defines what a program does when it executes • Semantics should be simple and yet allows reasoning about programs (correctness, execution time, and memory use) ...
... Language Semantics • Semantics defines what a program does when it executes • Semantics should be simple and yet allows reasoning about programs (correctness, execution time, and memory use) ...
Functional Programming and Compiler Design
... … we can add two numbers, but we can't add a picture to a number, and indeed we can't add two pictures. ...
... … we can add two numbers, but we can't add a picture to a number, and indeed we can't add two pictures. ...
scheme1 - Department of Computer Science and Electrical
... • 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 – Arguments to a special form aren’t evaluated or are evaluated in some special manner • '(F A B) is another way to quote d ...
... • 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 – Arguments to a special form aren’t evaluated or are evaluated in some special manner • '(F A B) is another way to quote d ...
Why Functional Programming Matters
... Functional programmers argue that there are great material benefits - that a functional programmer is an order of magnitude more productive than his conventional counterpart, because functional programs are an order of magnitude shorter. Yet why should this be? The only faintly plausible reason one ...
... Functional programmers argue that there are great material benefits - that a functional programmer is an order of magnitude more productive than his conventional counterpart, because functional programs are an order of magnitude shorter. Yet why should this be? The only faintly plausible reason one ...
Recursion Review - Department of Computer Science
... To obtain the answer to a large problem, the large problem is often reduced to one or more problems of a similar nature but a smaller size Subproblems are further divided until the size of the subproblems is reduced to some smallest, base case, where the solution is given directly without further re ...
... To obtain the answer to a large problem, the large problem is often reduced to one or more problems of a similar nature but a smaller size Subproblems are further divided until the size of the subproblems is reduced to some smallest, base case, where the solution is given directly without further re ...
Solutions for the exercises - Delft Center for Systems and Control
... Figure 3: Feasible set and contour plot for Exercise 2.1 Solution: Figure 3 shows the contour plot and the feasible region of the optimization problem. The solution is in a vertex of the feasible set, which is obtained with the graphical method (we shift one of the contour lines in a parallel way in ...
... Figure 3: Feasible set and contour plot for Exercise 2.1 Solution: Figure 3 shows the contour plot and the feasible region of the optimization problem. The solution is in a vertex of the feasible set, which is obtained with the graphical method (we shift one of the contour lines in a parallel way in ...
5. Functional Programming
... Curried functions A Curried function [named after the logician H.B. Curry] takes its arguments one at a time, allowing it to be treated as a higher-order function. plus x y ...
... Curried functions A Curried function [named after the logician H.B. Curry] takes its arguments one at a time, allowing it to be treated as a higher-order function. plus x y ...
- Free Documents
... y Define a Scheme function named totalreverse that will take a list as the parameter and returns a list in which all elements are reversed including the nested lists. For example if the function totalreverse is applied on the list a b c d e the resulting list would be e d c b a. You may assume that ...
... y Define a Scheme function named totalreverse that will take a list as the parameter and returns a list in which all elements are reversed including the nested lists. For example if the function totalreverse is applied on the list a b c d e the resulting list would be e d c b a. You may assume that ...
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 ...
Why Functional Programming Matters
... This might be implemented conventionally by storing the output from f in a temporary file. The problem with this is that the temporary file might occupy so much memory that it is impractical to glue the programs together in this way. Functional languages provide a solution to this problem. The two p ...
... This might be implemented conventionally by storing the output from f in a temporary file. The problem with this is that the temporary file might occupy so much memory that it is impractical to glue the programs together in this way. Functional languages provide a solution to this problem. The two p ...
What is a Program?
... — A program (computation) is a transformation from input data to output data. ...
... — A program (computation) is a transformation from input data to output data. ...
Logic Programming
... • The basic process of computation is fundamentally different in a FPL than in an imperative language – In an imperative language, operations are done and the results are stored in variables for later use – Management of variables is a constant concern and source of complexity for imperative program ...
... • The basic process of computation is fundamentally different in a FPL than in an imperative language – In an imperative language, operations are done and the results are stored in variables for later use – Management of variables is a constant concern and source of complexity for imperative program ...