4.1 - Exponential Functions
... research study is reflected in the bar graph to the right which can be modeled with the function f ( x) 42.2(1.56) x , where f ( x) is the average amount spent, in dollars, at a shopping mall after x hours. The above function is called an exponential function. Do you see what makes it different fr ...
... research study is reflected in the bar graph to the right which can be modeled with the function f ( x) 42.2(1.56) x , where f ( x) is the average amount spent, in dollars, at a shopping mall after x hours. The above function is called an exponential function. Do you see what makes it different fr ...
docx - NUS School of Computing
... Summing digits in a non-negative integer n can be easily written using a loop. Is writing a recursive code for it just as easy? Write a recursive function int sum_digits(int n) to sum up the digits in n. (This question is discussed in lecture so this is some kind of revision.) A sample run is shown ...
... Summing digits in a non-negative integer n can be easily written using a loop. Is writing a recursive code for it just as easy? Write a recursive function int sum_digits(int n) to sum up the digits in n. (This question is discussed in lecture so this is some kind of revision.) A sample run is shown ...
Proof - Computer Science
... Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. ...
... Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. ...
Data Structures Lecture
... Recursion and Time Complexity of Recursive Algorithms Trees and Graphs Set structure Searching techniques Hashing Sorting techniques ...
... Recursion and Time Complexity of Recursive Algorithms Trees and Graphs Set structure Searching techniques Hashing Sorting techniques ...
Differentiation - DBS Applicant Gateway
... Immediately we note that this is different from the straightforward function, 2x – 5 or 2x - 510. We call such an expression a function of a function. Suppose, in general, that we have two functions, f(x) and g(x). Then y = f(g(x)) is a function of a function. In our case, the function f is the oute ...
... Immediately we note that this is different from the straightforward function, 2x – 5 or 2x - 510. We call such an expression a function of a function. Suppose, in general, that we have two functions, f(x) and g(x). Then y = f(g(x)) is a function of a function. In our case, the function f is the oute ...
4on1 - FSU Computer Science
... expressions is usually in the order in which they appear in a program text Selection (or alternation): a run-time condition determines the choice among two or more statements or expressions Iteration: a statement is repeated a number of times or until a run-time condition is met Procedural abstracti ...
... expressions is usually in the order in which they appear in a program text Selection (or alternation): a run-time condition determines the choice among two or more statements or expressions Iteration: a statement is repeated a number of times or until a run-time condition is met Procedural abstracti ...
Translating the Hypergame Paradox - UvA-DARE
... Note that here the argument which leads to the paradox has an asymmetric pattern which consists of two parts: (1) ‘p is true’ (hypergame is a founded game); (2) ‘if p is true then lp is true’ (if hypergame is founded, then it is not founded). In other words, we arrive to a contradiction by showing ‘ ...
... Note that here the argument which leads to the paradox has an asymmetric pattern which consists of two parts: (1) ‘p is true’ (hypergame is a founded game); (2) ‘if p is true then lp is true’ (if hypergame is founded, then it is not founded). In other words, we arrive to a contradiction by showing ‘ ...
the derivative function (using first principles)
... Note: When the above limit is used to determine the derivative of a function, it is called “determining the derivative using first principles”. The given limit has the following interpretations: ...
... Note: When the above limit is used to determine the derivative of a function, it is called “determining the derivative using first principles”. The given limit has the following interpretations: ...
Document
... Example 1 Describe an algorithm for finding an element x in a list of distinct elements a1 , a2 ,..., an . Algothm 1 The linear Search Algorithm. Procedure linear sea rch ( x : integer, a1,a2 ,..., an : distinct integers) i: 1; while (i n and x ai ) i: i 1; if i n then location: i ...
... Example 1 Describe an algorithm for finding an element x in a list of distinct elements a1 , a2 ,..., an . Algothm 1 The linear Search Algorithm. Procedure linear sea rch ( x : integer, a1,a2 ,..., an : distinct integers) i: 1; while (i n and x ai ) i: i 1; if i n then location: i ...
Introduction to Programming in Python
... - input: a comma separated list of values - returns: the minimum or maximum value in the list • Click here to see a complete list of Python built-in functions. We will continue to work with some of them in later modules. ...
... - input: a comma separated list of values - returns: the minimum or maximum value in the list • Click here to see a complete list of Python built-in functions. We will continue to work with some of them in later modules. ...
Imperative Functional Programming
... reads the value of the counter and a state transformer method that increments the counter. Both the methods act on the same shared state (represented by the variable v). Values of function types t1 → t2 denote object transformers that transform objects of type t1 to objects of type t2 . In general, ...
... reads the value of the counter and a state transformer method that increments the counter. Both the methods act on the same shared state (represented by the variable v). Values of function types t1 → t2 denote object transformers that transform objects of type t1 to objects of type t2 . In general, ...
Executing Higher Order Logic
... Execution What exactly do we mean by execution of specifications? Essentially, execution means finding solutions to queries. A solution σ is a mapping of variables to closed solution terms. A term t is called a solution term iff • t is of function type, or • t = c t1 . . . tn , where the ti are solu ...
... Execution What exactly do we mean by execution of specifications? Essentially, execution means finding solutions to queries. A solution σ is a mapping of variables to closed solution terms. A term t is called a solution term iff • t is of function type, or • t = c t1 . . . tn , where the ti are solu ...
Control Flow - FSU Computer Science
... Selection (or alternation): a run-time condition determines the choice among two or more statements or expressions Iteration: a statement is repeated a number of times or until a run-time condition is met Procedural abstraction: subroutines encapsulate collections of statements and subroutine calls ...
... Selection (or alternation): a run-time condition determines the choice among two or more statements or expressions Iteration: a statement is repeated a number of times or until a run-time condition is met Procedural abstraction: subroutines encapsulate collections of statements and subroutine calls ...
Function Guided Notes
... If, for each value of x in the domain, the pencil passes through only one point of the graph, then the graph represents a function. ...
... If, for each value of x in the domain, the pencil passes through only one point of the graph, then the graph represents a function. ...
More Lambda Calculus
... • A relation R has the diamond property if whenever e R e1 and e R e2 then there exists e’ such that e1 R e’ and e2 R e’ e ...
... • A relation R has the diamond property if whenever e R e1 and e R e2 then there exists e’ such that e1 R e’ and e2 R e’ e ...
Document
... Example 1 Describe an algorithm for finding an element x in a list of distinct elements a1 , a2 ,..., an . Algothm 1 The linear Search Algorithm. Procedure linear sea rch ( x : integer, a1,a2 ,..., an : distinct integers) i: 1; while (i n and x ai ) i: i 1; if i n then location: i ...
... Example 1 Describe an algorithm for finding an element x in a list of distinct elements a1 , a2 ,..., an . Algothm 1 The linear Search Algorithm. Procedure linear sea rch ( x : integer, a1,a2 ,..., an : distinct integers) i: 1; while (i n and x ai ) i: i 1; if i n then location: i ...
Chapter 2: Fundamentals of the Analysis of Algorithm
... A way of comparing functions that ignores constant factors and small input sizes • O(g(n)): class of functions f(n) that grow no ...
... A way of comparing functions that ignores constant factors and small input sizes • O(g(n)): class of functions f(n) that grow no ...
Python XML Element Trees
... Unfortunately, sorting the address book is not completely successful because the operation does not correctly manage the indentation used in the example. This is a general problem with sorting the contents of an XML element that is of mixed complex type. In this case, it can be fixed by applying the ...
... Unfortunately, sorting the address book is not completely successful because the operation does not correctly manage the indentation used in the example. This is a general problem with sorting the contents of an XML element that is of mixed complex type. In this case, it can be fixed by applying the ...
Pseudo Random Number Generation and Random Event Validation
... What is randomness? A function not affected by any input or state Independent of previous results Example ...
... What is randomness? A function not affected by any input or state Independent of previous results Example ...
Realistic Gap Models
... The notion of edit distance and its implementation via dynamic programming are easily adapted to variations of the original problem. Two such variations are discussed here. We first discuss the problem of local alignment, where s is relatively short with respect to t and we seek that subunit of t wh ...
... The notion of edit distance and its implementation via dynamic programming are easily adapted to variations of the original problem. Two such variations are discussed here. We first discuss the problem of local alignment, where s is relatively short with respect to t and we seek that subunit of t wh ...
Introduction to Haskell(1)
... Simple functions are used to define more complex ones, which are used to define still more complex ones, and so on. Finally, we define a function to compute the output of the entire program from its inputs. If you can write function definitions, you can write functional programs! ...
... Simple functions are used to define more complex ones, which are used to define still more complex ones, and so on. Finally, we define a function to compute the output of the entire program from its inputs. If you can write function definitions, you can write functional programs! ...
Document
... Compare and sort the obtained (asymptotic) formulas according to the asymptotic order. For each of them try to find an algorithmic example with performance giving by this formula. • Sort the following formulas according to big/small Oh order: log (n1/2), log (9n), log (n3), 2log n, 23log n, 2log (9n ...
... Compare and sort the obtained (asymptotic) formulas according to the asymptotic order. For each of them try to find an algorithmic example with performance giving by this formula. • Sort the following formulas according to big/small Oh order: log (n1/2), log (9n), log (n3), 2log n, 23log n, 2log (9n ...
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”.