Functions Revisited
... • Some variables are inherently global – Useful in simulations of complex systems • You can pass “invisible parameters” to a function – Some people will think you are too lazy to pass them as parameters ...
... • Some variables are inherently global – Useful in simulations of complex systems • You can pass “invisible parameters” to a function – Some people will think you are too lazy to pass them as parameters ...
part_3
... • If the grid has no empty slots, return true and print the solution • Suppose the variables row and col specify the position of the empty grid position ...
... • If the grid has no empty slots, return true and print the solution • Suppose the variables row and col specify the position of the empty grid position ...
A Bundle Method to Solve Multivalued Variational Inequalities
... di®erentiable and strongly convex and f¸k gk2IN be a sequence of positive numbers. The problem considered at iteration k is the following: k ...
... di®erentiable and strongly convex and f¸k gk2IN be a sequence of positive numbers. The problem considered at iteration k is the following: k ...
Weekly Handout Number 1
... f(n) is how our algorithm performs on different size data sets z is an integer. For all data set sizes smaller than z, we don’t consider the algorithm’s efficiency c is a positive constant . By multiplying g by this constant, all functions with equal or smaller slopes will satisfy the Big Oh ...
... f(n) is how our algorithm performs on different size data sets z is an integer. For all data set sizes smaller than z, we don’t consider the algorithm’s efficiency c is a positive constant . By multiplying g by this constant, all functions with equal or smaller slopes will satisfy the Big Oh ...
COP4020 Homework Assignment 2
... 3. We can implement a binary tree data structure by using lists with three elements: (value left-tree right-tree). For example, a tree with one node R (the root) is represented by (R () ()). (The empty lists represent the (empty) left and right child trees.) Given the tree: ...
... 3. We can implement a binary tree data structure by using lists with three elements: (value left-tree right-tree). For example, a tree with one node R (the root) is represented by (R () ()). (The empty lists represent the (empty) left and right child trees.) Given the tree: ...
Substitution method
... Given two binary numbers x, y with n-bits each, give an efficient algorithm to calculate the product z = xy. Analyze the time complexity of this algorithm. Solution: Lets look at another problem first: The mathematician Carl Friedrich Gauss (1777–1855) once noticed that although the product of two c ...
... Given two binary numbers x, y with n-bits each, give an efficient algorithm to calculate the product z = xy. Analyze the time complexity of this algorithm. Solution: Lets look at another problem first: The mathematician Carl Friedrich Gauss (1777–1855) once noticed that although the product of two c ...
Java Software Structures, 4th Edition Exercise Solutions, Ch. 8
... Write a recursive method to reverse a string. Explain why you would not normally use recursion to solve this problem. public String reverse (String text) ...
... Write a recursive method to reverse a string. Explain why you would not normally use recursion to solve this problem. public String reverse (String text) ...
Slide 1
... 1.If n==1, move single disk from A to C. 2.Move the top n-1 disks from A to B using C as auxiliary. 3.Move the remaining disk from A to C. 4.Move the n-1 disks from B to C, using A as auxiliary. • Here if n==1, step1 will produce a correct solution. • If n==2, we know that we already have a solution ...
... 1.If n==1, move single disk from A to C. 2.Move the top n-1 disks from A to B using C as auxiliary. 3.Move the remaining disk from A to C. 4.Move the n-1 disks from B to C, using A as auxiliary. • Here if n==1, step1 will produce a correct solution. • If n==2, we know that we already have a solution ...
Episode I
... person ++ “ has an old phone :( “ hasPhone person (IPhone v) = person ++ “ has an IPhone “ ++ show v hasPhone person (Android maker model) = person ++ “ has a “ ++ model ++ “ from “ ++ maker ...
... person ++ “ has an old phone :( “ hasPhone person (IPhone v) = person ++ “ has an IPhone “ ++ show v hasPhone person (Android maker model) = person ++ “ has a “ ++ model ++ “ from “ ++ maker ...
models solutions for the second midterm
... 2) If (x, y) ∈ S, then (xy, 1) ∈ S 3) If (x, y) ∈ S and (p, q) ∈ S, then (x, p) ∈ S. Give a non-recursive definition for the set S. Explain briefly and/or show your work. Solution: Since (2, 1) ∈ S and (2, 1) ∈ S, (2, 2) ∈ S by (3). Since (1, 1) ∈ S and (2, 1) ∈ S, (1, 2) ∈ S by (3). Since (2, 2) ∈ ...
... 2) If (x, y) ∈ S, then (xy, 1) ∈ S 3) If (x, y) ∈ S and (p, q) ∈ S, then (x, p) ∈ S. Give a non-recursive definition for the set S. Explain briefly and/or show your work. Solution: Since (2, 1) ∈ S and (2, 1) ∈ S, (2, 2) ∈ S by (3). Since (1, 1) ∈ S and (2, 1) ∈ S, (1, 2) ∈ S by (3). Since (2, 2) ∈ ...
29_Recursion_part1 - Iowa State University
... • All recursive definitions have to have a nonrecursive part • If they didn't, there would be no way to terminate the recursive path ...
... • All recursive definitions have to have a nonrecursive part • If they didn't, there would be no way to terminate the recursive path ...
slides
... • Both complicate reasoning about program behavior. • However, that doesn’t mean we can do without side effects – Persistence – Dispensing cash – Requesting input – Displaying a page ...
... • Both complicate reasoning about program behavior. • However, that doesn’t mean we can do without side effects – Persistence – Dispensing cash – Requesting input – Displaying a page ...
My Python-oriented slides
... • For loops build loop control variables into the syntax. • >>> for x in range(1,5): sys.stdout.write(str(x) + " ") ...
... • For loops build loop control variables into the syntax. • >>> for x in range(1,5): sys.stdout.write(str(x) + " ") ...
Programming Languages
... • The value of any function depends only on the values of its parameters, and not on any previous computations, including calls to the function itself. • The property that a function’s value depends only on the values of its parameters is called referential ...
... • The value of any function depends only on the values of its parameters, and not on any previous computations, including calls to the function itself. • The property that a function’s value depends only on the values of its parameters is called referential ...
Programming Languages
... • Forms of atoms – sequence of characters, a string, an identifier – sequence of digits, an integer [perhaps with sign] – syntax of a real number – T, meaning true – F, meaning false – ϕ, the symbol representing the empty list ...
... • Forms of atoms – sequence of characters, a string, an identifier – sequence of digits, an integer [perhaps with sign] – syntax of a real number – T, meaning true – F, meaning false – ϕ, the symbol representing the empty list ...
intro - Computer Science
... programs into logical claims and to prove such assertions both by hand and using automated tools. Considers approaches to proving termination, correctness, and safety for programs. Discusses propositional and predicate logic, logical inference, recursion and recursively defined sets, mathematical in ...
... programs into logical claims and to prove such assertions both by hand and using automated tools. Considers approaches to proving termination, correctness, and safety for programs. Discusses propositional and predicate logic, logical inference, recursion and recursively defined sets, mathematical in ...
Midterm 1 Review Problems
... of C(5, 3). Notice that in the full recursion tree for C(5, 3), the value C(3, 2) is evaluated 2 times, and C(2, 1) is evaluated 3 times. Suggest a modification to the function that would allow it to avoid computing the same values multiple times. (Don’t write the code, just explain it in words.) 2. ...
... of C(5, 3). Notice that in the full recursion tree for C(5, 3), the value C(3, 2) is evaluated 2 times, and C(2, 1) is evaluated 3 times. Suggest a modification to the function that would allow it to avoid computing the same values multiple times. (Don’t write the code, just explain it in words.) 2. ...
Structure & Interpretation of Computer Programs
... Unlike C++ and Java, scheme does not worry about types! Don't ...
... Unlike C++ and Java, scheme does not worry about types! Don't ...
EI010 306 Computer Programming
... Introduction to C: C fundamentals - The character set - identifiers and keywords - Data types - constants variables and arrays - declarations - expressions - statements - symbolic constants- arithmetic operators Relational and Logical operators - The conditional operator - Library functions - Data i ...
... Introduction to C: C fundamentals - The character set - identifiers and keywords - Data types - constants variables and arrays - declarations - expressions - statements - symbolic constants- arithmetic operators Relational and Logical operators - The conditional operator - Library functions - Data i ...
lisp notes #4
... Requires Abstraction – requires to think using concepts and about what needs to be done and not how it is done Abstract out the control flow patterns and give them names to easily reuse the control pattern » For example in most languages we explicitly write a loop every time we want to process an ar ...
... Requires Abstraction – requires to think using concepts and about what needs to be done and not how it is done Abstract out the control flow patterns and give them names to easily reuse the control pattern » For example in most languages we explicitly write a loop every time we want to process an ar ...
331-k3-df.doc
... patterns take advantage of higher-order functions that are typically available in functional programming languages, they can also be applied to any collections of objects in non-functional programming paradigms. In this exercise, students are asked to: 1. Design a recursive algorithm sufficiently de ...
... patterns take advantage of higher-order functions that are typically available in functional programming languages, they can also be applied to any collections of objects in non-functional programming paradigms. In this exercise, students are asked to: 1. Design a recursive algorithm sufficiently de ...
Recursion
... procedure itself. A procedure that goes through recursion is said to be 'recursive'. To understand recursion, one must recognize the distinction between a procedure and the running of a procedure. A procedure is a set of steps that are to be taken based on a set of rules. The running of a procedure ...
... procedure itself. A procedure that goes through recursion is said to be 'recursive'. To understand recursion, one must recognize the distinction between a procedure and the running of a procedure. A procedure is a set of steps that are to be taken based on a set of rules. The running of a procedure ...
COS_470-Practice
... define here the base case to stop the recursion: if nums is empty or if num is <= than the first element in nums then the function returns a list constructed by num and the list nums which constructor will you use? ...
... define here the base case to stop the recursion: if nums is empty or if num is <= than the first element in nums then the function returns a list constructed by num and the list nums which constructor will you use? ...
figure 6-2 - JSNE Group
... • Every time tail of a node considered – List size reduced by one – Eventually list size reduced to zero – Recursion stops ...
... • Every time tail of a node considered – List size reduced by one – Eventually list size reduced to zero – Recursion stops ...
Recursion (computer science)
Recursion in computer science is a method where the solution to a problem depends on solutions to smaller instances of the same problem (as opposed to iteration). The approach can be applied to many types of problems, and recursion is one of the central ideas of computer science.""The power of recursion evidently lies in the possibility of defining an infinite set of objects by a finite statement. In the same manner, an infinite number of computations can be described by a finite recursive program, even if this program contains no explicit repetitions.""Most computer programming languages support recursion by allowing a function to call itself within the program text. Some functional programming languages do not define any looping constructs but rely solely on recursion to repeatedly call code. Computability theory proves that these recursive-only languages are Turing complete; they are as computationally powerful as Turing complete imperative languages, meaning they can solve the same kinds of problems as imperative languages even without iterative control structures such as “while” and “for”.