DISCRETE MATHEMATICS Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly"‚ the objects studied in discrete mathematics – such as integers‚ graphs‚ and statements in logic – do not vary smoothly in this way‚ but have distinct‚ separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects
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Mathematical Modelling 2 Week 3: Discrete Random Variables Stephen Bush Department of Mathematical Sciences MM2: Statistics - Week 3 - 1 Random Variables • Reference: Devore § 3.1 – 3.5 • Definitions: • An experiment is any process of obtaining one outcome where the outcome is uncertain. • A random variable is a numerical variable whose value can change from one replicate of the experiment to another. • Sample means and sample standard deviations are random variables • They
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Binary search using recursive function Question: A class Admission contain the admission numbers of 100 students. Some of the data members/ member functions are given below: Class name: Admission Data member/instance variable: Adno[ ]: Integer array to store admission numbers Member functions/methods: Admission(): constructur to initialize the array elements void fillArray(): to accept the element of the array in ascending order int binSearch(int l‚ int u‚ int v): to search for a particular admission
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%Part of Telecommunication simulations course‚ Spring 2006 %Harri Saarnisaari‚ CWC %We simulate uncoded BER of BPSK modulated data as a function of SNR %-in an AWGN channel %-in a Rayleigh fading channel %-in an AWGN channel when direct sequence spreading is used %and compare results to the theoretical ones. %We assume coherent receiver and perfect synchronization. ------------------------------------------------%set used SNR values %SNR (Eb/No) values in decibels SNR=[0:2:14]’; %column vector
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W orking : This is a simple function generator circuit that can produce thefollowing waveforms: square wave‚ triangular wave‚ and sinewave.The circuit’s main components are four 741 IC’s. The 741 is aop-amp IC. The first op amp in Figure is configured as anastablemultivibrator‚ which continuously generates a squarewave. Assume that C3 has no charge initially. The voltage at theinverting input is zero‚ while the voltage at the non-inverting inputis very slightly positive (a ratio of the op amp’s
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mm1 simulation in matlab clc;clear; ST_Idle=0; ST_Busy=1; EV_NULL=0; EV_Arrive=1; EV_Depart=2; EV_LEN=3; Q_LIMIT=1000000; % next_event _type=[]; % num_custs _delayed=[]; % num_delays _count=[]; % num_events=[]; % num_in _queue=[]; % server_status=[]; % area_num _in _queue=[]; % area_server _status=[]; % mean_interarrival=[]; % mean_service=[]; % clock=[]; % time_last _event=[]; % total_of _delays=[]; time_arrival=[]; time_next _event=zeros(1‚EV_LEN);
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the methods of reasoning. On an elementary level‚ logic provides rules and techniques for determining whether a given argument is valid. Logical reasoning is used in Computer Science to verify (menentusahkan) the correctness (kesahihan) of programs and to prove (membuktikan) theorems. 2.1 Proposition and Logical Operations • Statement or proposition → declarative sentence that is either true or false‚ but not both Example 1: Which of the following are statements? (a) The earth
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two types‚ those that are continuous‚ and those that are discrete. An example of continuous is the number line. Between any two points‚ there are always more points. For discrete sets‚ this is not true. For instance‚ in baseball there are four bases. If you get a hit it is either a one-base hit (what we call a single)‚ a two-base hit‚ a three-base hit‚ or a home run. There is no such thing as a 2 1/2 base hit. Discrete things are found in bundles or lumps‚ and you can only have
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Correlation BSHS/382 October 3‚ 2013 Vanessa Byrd Correlation Correlations measure the relationship between two variables. Establishing correlations allows researchers to make predictions that increase the knowledge base. Different methods that establish correlations are used in different situations. Each method has advantages and disadvantages that provide researchers information that is used to understand‚ rank‚ and visually illustrate how variables are related. The Pearson’s‚ Spearman‚
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1 CORRELATION & REGRESSION 1.0 Introduction Correlation and regression are concerned with measuring the linear relationship between two variables. 1.1 Scattergram It is not a graph at all‚ it looks at first glance like a series of dots placed haphazardly on a sheet of graph paper. The purpose of scattergram is to illustrate diagrammatically any relationship between two variables. (a) If the variables are related‚ what kind of relationship it is‚ linear or nonlinear
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