Q: What was Sir Isaac Newton’s favorite dessert? A: Apple pi! Mathematician: Pi r squared Baker: No! Pie are round‚ cakes are square! * A transcendental number is a number that is not the root of any integer polynomial‚ meaning that it is not an algebraic number of any degree. Every real transcendental number must also be irrational‚ since a rational number is‚ by definition‚ an algebraic number of degree one. Ferdinand von Lindeman first called pi a transcendental
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LIMITS AND CONTINUITY 1. The concept of limit x2 − 4 . Examine the behavior of f (x) as x approaches 2. Example 1.1. Let f (x) = x−2 Solution. Let us compute some values of f (x) for x close to 2‚ as in the tables below. We see from the first table that f (x) is getting closer and closer to 4 as x approaches 2 from the left side. We express this by saying that “the limit of f (x) as x approaches 2 from left is 4”‚ and write x→2− lim f (x) = 4. Similarly‚ by looking at the second table
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FISH PRODUCTION - MODELING The aim of this investigation is to consider commercial fishing in a particular country in two different environments‚ that is from the sea and a fish farm (aquaculture). The following data provided below was taken form the UN Statistics Division Common Database. The tables gives the total mass of fish caught in the sea‚ in thousands of tones (1 tone = 1000 kilograms). Year | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 | 1988 | Total Mass | 426
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\caption[Different monochromatic $\gamma$ selection criteria is explained in the first column] { Different monochromatic $\gamma$ selection criteria are given in the first column. The resulting efficiencies using different monochromatic cuts are given in the second column. The number of the reconstructed $\omega\to\pi^0\gamma$ decays ($N_{\omega\to\pi^0\gamma}^{rec}$) for different monochromatic cuts are presented in the third column. The measured branching ratio $BR^{measured}_{\omega\to\pi^0\gamma}$
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Homework description: The following three degree monic polynomial has three real roots. f(x)=x3+2.3x2+0.32x-0.56 a. For finding the real roots ‚ Cardano’s Method[1] can be used To reduce the degree of the equation ‚these operations are done‚ a=1 ‚ b=2.3‚ c=0.32 ‚ d=-0.56 If we write y+r ‚ instead of x (x=y+r) y3 +(3r+2.3)y2+3r2+4.6r+0.32y+r3+2.3r2+0.32r-0.56=0 If we choose r=-2.33 Equation becomes this form; y3+my+n=0 m=3ac-b23a2 n=2b3-9abc-27a2d27a3 m=-1.44333…
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correctly received. IMPLEMENTATION Figure: Euclidean division algorithm The message is represented by a information polynomial i(x). i(x) is store as a bit pattern of k length in an integer array. The k information bits are represented by k-1 degree polynomial i(x) = i(k-1)x(k-1) + i(k-2)x(k-2) +……………………………..+i1x+i0 A polynomial code is specified by its generating polynomial g(x). If we assume that we are dealing with a code in which codewords have n bits of which k are information bits and n-k
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Chapter-1: Introduction The purpose of a Communication System is to transport an information bearing signal from a source to a user destination via a communication channel. MODEL OF A COMMUNICATION SYSTEM(ANALOG) Information Source and Input Transducer I/P Signal TRANSMITTER CHANNEL Destination and Output Transducer O/P Signal RECEIVER Fig. 1.1: Block diagram of Communication System. The three basic elements of every communication systems are Transmitter‚ Receiver and Channel. The
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Abu Ja’far Al-Khwarizmi Abu Ja’far Al-Khwarizmi was a Muslim mathematician in the late 8th century. His full name is Abu Ja’far Muhammad ibn Musa Al-Khwarizmi. He heavily influenced our math today‚ and he developed a base for math today. (“Periodic”). Al-Khwarizmi was a very intelligent mathematician who wrote a book on algebra and geometry which influences today’s world of mathematics. There is very little known about Al-Khwarizmi’s early life (MacTutor). He was born in 780 AD‚ and died in 850
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QUANTITATIVE RESEARCH METHODS WEEK 1 Date: 28 March 2015 Session Time: 14:00 Course Name: Quantitative Research Methods Meeting location: Meeting Room 3 Discussion subject(s): Summary Statistics T-test One-way ANOVA Contents Introduction 3 Introductory information 3 Summary Statistics 3 Basic Definitions 3 T-test 5 Independent samples t test 5 SPSS Steps 5 One-way ANOVA 6 SPSS Steps 6 Introduction This document focuses specifically on Block/Week 1. The following topics will be covered: Introductory
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board which he can work out with the teacher‚ but also allows him to analyze the problem as he is going through it. It comes right down to understanding of concepts in the end and if students do not have a firm grasp of a certain concept‚ like multiplying and dividing fractions‚ then this one-on-one time will be paramount for the student’s
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