Describe the role of courts in the criminal justice process. The courts serve as the venue where disputes are then settled and justice is administered. In Australian courts the adversarial system of trial is used to determine guilt‚ this is two sides‚ one representing the accused the other the state‚ debate over the guilt of the accused; this is mediated by a neutral third party‚ the judge or magistrate. Guilt is determined by the judge‚ magistrate or a jury. Punishment for the accused if found
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central The Central Limit Theorem A long standing problem of probability theory has been to find necessary and sufficient conditions for approximation of laws of sums of random variables. Then came Chebysheve‚ Liapounov and Markov and they came up with the central limit theorem. The central limit theorem allows you to measure the variability in your sample results by taking only one sample and it gives a pretty nice way to calculate the probabilities for the total ‚ the average and the proportion
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Application There are some applications of Thevenin’s Theorem in our daily lives. Thevenin’s Theorem is very useful to reduce a network with several voltage sources and resistors to an equivalent circuit composed a single voltage source and a single resistance connected to a load only. It is used in simplifying and analysing complex linear networks power systems and circuits where one particular where a particular load resistor‚ RL in the circuit is subject to change‚ and recalculation of the circuit
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Fermat’s last theorem Currently holding the world record for longest standing math problem ever‚ Fermat’s last theorem went unsolved for 365 years. Fermat’s last theorem was one of the largest white whales in the study of math. Over the centuries‚ thousands were puzzled by the impossible problem. From its conception to its solution‚ Fermat’s last theorem was one of the most difficult to solve yet easy to understand problems in mathematics. First‚ I will discuss the theorem and how it was introduced
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Bernoulli’s theorem i Bernoulli’s theorem‚ in fluid dynamics‚ relation among the pressure‚ velocity‚ and elevation in a moving fluid (liquid or gas)‚ the compressibility and viscosity (internal friction) of which are negligible and the flow of which is steady‚ or laminar. First derived (1738) by the Swiss mathematicianDaniel Bernoulli‚ the theorem states‚ in effect‚ that the total mechanical energy of the flowing fluid‚ comprising the energy associated with fluid pressure‚ the gravitational potential
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diagonally or from one tip to the opposite tip‚ we create two surfaces in the shape of triangles. Mathematicians’ related origami to a theorem called the Kawasaki theorem. The Kawasaki theorem states that if we add up the angle measurements of every angle around a point‚ the sum will be 180. It is a theorem giving a decision for an origami construction to be flat. Kawasaki theorem also states that a given crease pattern can be folded to a flat origami if all the sequences of angles ‚ ...‚ are surrounding
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CENTRAL LIMIT THEOREM There are many situations in business where populations are distributed normally; however‚ this is not always the case. Some examples of distributions that aren’t normal are incomes in a region that are skewed to one side and if you need to are looking at people’s ages but need to break them down to for men and women. We need a way to look at the frequency distributions of these examples. We can find them by using the Central Limit Theorem. The Central Limit Theorem states that
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HYDROLOGY & HYDRAULIC ENGINEERING I LABORATORY REPORT 3 TITLE : BERNOULLI’S THEOREM APPARATUS NAME : ID. NO. : SECTION : 02 EXPERIMENT DATE : 10th December 2009 SUBMISSION DATE : 17th December 2009 GROUP NO. : 2 GROUP MEMBERS : LECTURER : LAB INSTRUCTOR : TABLE OF CONTENT Content | Page | Summary | 2 | Objective | 2 | Theory | 3 - 5 | Equipment/ description of experimental apparatus | 6 | Procedure | 6 | Data and observation | 6a | Analysis | 7‚8
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The AKS primality test (also known as Agrawal–Kayal–Saxena primality test and cyclotomic AKS test) is a deterministic primality-proving algorithm created and published by Manindra Agrawal‚ Neeraj Kayal‚ and Nitin Saxena‚ computer scientists at the Indian Institute of Technology Kanpur‚ on August 6‚ 2002‚ in a paper titled "PRIMES is in P".[1] The authors received many accolades‚ including the 2006 Gödel Prize and the 2006 Fulkerson Prize‚ for this work. The algorithm determines whether a number
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Gauss Markov Theorem In the mode [pic]is such that the following two conditions on the random vector [pic]are met: 1. [pic] 2. [pic] the best (minimum variance) linear (linear functions of the [pic]) unbiased estimator of [pic]is given by least squares estimator; that is‚ [pic]is the best linear unbiased estimator (BLUE) of [pic]. Proof: Let [pic]be any [pic]constant matrix and let [pic]; [pic] is a general linear function of [pic]‚ which we shall take as an estimator of [pic]. We must specify
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