# Random number generation

May 19th, 2015
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1. A random number generator (often abbreviated as RNG) is a computational or physical device designed to generate a sequence of numbers or symbols that lack any pattern, i.e. appear random. 2. The many applications of randomness have led to the development of several different methods for generating random data.

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ASSIGNMENT : Basic MathematicsPROGRAM: B.Sc. ITSEMESTER-ISubject Name: Basic MathematicsPermanent Enrollment Number (PEN) : A1922713004(el)Student Enrollment Number (SEN) : EL2013-01-BIT0001-2402Student Name: RANA RAM BHAJAN SINGHAssignment - AQ1. a) What is a Set? Explain various methods to represent a set in set theory.Ans 1a): A set is a group or collection of objects or numbers, considered as an entity unto itself. Sets are usually symbolized by uppercase, italicized, boldface letters such as A, B, S, or Z. Each object or number in a set is called a member or element of the set.Examples include the set of all computers in the world, the set of all apples on a tree, and the set of all irrational numbers between 0 and 1.When the elements of a set can be listed or enumerated, it is customary to enclose the list in curly brackets. Thus, for example, we might speak of the set (call it K) of all natural numbers between, and including, 5 and 10 as:K = {5, 6, 7, 8, 9, 10}Methods to represent a set:There are two methods to represent a set. One is Rule method, another one is Roster method.Ruleis a method of naming a set by describing its elements.For example, {x:x> 3,xis a whole number} describes the set with elements 4, 5, 6,. Therefore, {x:x> 3,xis a whole number} is the same as {4,5,6,}. {x:x> 3} describes all numbers greater than 3. This set of numbers cannot be represented as a list and is represented using a nu

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