P(B) _ _ P(A) = P(A|B)P(B) + P(A|B)P(B) Bayes Rule: P(E|A) = P(A∩E) = P(A|E)P(E) . P(A) P(A|E)P(E) + P(A|Ē)P(Ē) Discrete random variable: E(x)‚ μ = ∑x*p(x) Var(x) = ∑(x- μ)2*p(x) E(aX+b) = aE(X)+b Var(aX+b) = a2Var(X) *** b disappears BINOMIAL DISTRIBUTIONS: UNIFORM DISTRIBUTIONS: E(X) = np E(X) = (a+b)/2 Var(X) = np(1-p) Var(X) = (b-a)2 / 12 *See cumulative probability table NORMAL DISTRIBUTIONS N ~ (μ‚ σ2)‚ Z = (x-
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Is Huckleberry Finn a wicked and dishonest boy‚ or a considerate and engrossing person? Huck is a main character in the book The Adventures of Huckleberry Finn by Mark Twain. Huckleberry is a very caring person because he is compassionate‚ skillful‚ and very discreet. First‚ Huckleberry’s character shows that he is compassionate towards everyone. An example of this is when Huckleberry came across a wrecked steamboat in the river. Huck decides to check it out and as he got aboard Huck heard voices
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parts and the imaginary parts separately eg. z1 + z2 = a + bi + x + yi = a + x + (b + y)i When multiplying just treat as an algebraic expression in brackets eg. z1 z2 = (a + bi)(x + yi) = ax + ayi + bxi + byi2 = ax - by + (ay + bx)i (as i2 = -1) Division by a complex number is a very similar process to ‘rationalising’ surds – we call it ‘realising’ [pic] Argand Diagrams We can represent complex numbers on an Argand
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Green Knight offers Sir Gawin a challenge that he cannot refuse‚ a challenge that first seems a little retarded. The challenge is that Sir Gawin gets to swing an Ax at the impossers neck and the Green Knight has to stand their take it‚ but in a year the Green Knight gets to do the same challenge to SIr Gawin. Sir Gawin picks up the Ax and chops the Green knights head clean off‚ the
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He is the only God that works; he was always obedient of his mother and the Gods. He is well like and worship. Symbols The symbols of Hephaestus are fire‚ the ax‚ the blacksmith pincers‚ the hammer and the anvil Special abilities Hephaestus is extremely skilled in metallurgy‚ sculpture and any handmade art. He was also extremely good building‚ so he is in charge of building their houses and palaces of all
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assault and passes on. Through a stunning blend of good fortunes‚ clear considering‚ and readerly suspension of doubt‚ Brian figures out how to crash-arrive the plane into a lake and departure with simply a few wounds. Still strapped onto his belt is the ax his mom had given him before he loaded onto the plane. Brian acknowledges he needs to discover sustenance and safe house so he can last until he’s saved.
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Types of Chemical Reactions | Cartoon Book | In this booklet you will understand the nature of chemical reactions and reaction types. | Omolola Olaleye #10 | Block 2 Physics Week 13 Day 5 11/4/2011 | Standard: SPS2 Students will explore the nature of matter‚ its classifications‚ and its system for naming types of matter. | The Nature of Chemical Reactions Chemical reactions are everywhere! The food you eat and the oxygen you breathe change from during reactions inside your body
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1198 IEEE TRANSACTIONS ON POWER ELECTRONICS‚ VOL. 24‚ NO. 5‚ MAY 2009 Comprehensive Approach to Modeling and Simulation of Photovoltaic Arrays Marcelo Gradella Villalva‚ Jonas Rafael Gazoli‚ and Ernesto Ruppert Filho Abstract—This paper proposes a method of modeling and simulation of photovoltaic arrays. The main objective is to find the parameters of the nonlinear I–V equation by adjusting the curve at three points: open circuit‚ maximum power‚ and short circuit. Given these three points
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Elliptic Curve Cryptography (ECC) Mathematical basis of ECC Elliptic Curve is a set of solutions (x‚ y) to an equation of the form y2=x3+ax+b where 4a3+27b2≠0‚ together with a point at infinity denoted O. Elliptic Curve originally developed to measure circumference of an ellipse and now have been proposed for applications in cryptography due to their group law and because so far no sub exponential attack on their discrete logarithm problem. Cryptography based on elliptic curves depends on arithmetic
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bm (7.1) be considered‚ where x1 ‚ x2 ‚ ... ‚ xn are the unknowns‚ elements aik (i = 1‚ 2‚ ...‚ m; k = 1‚ 2‚ ...‚ n) are the coefficients‚ bi (i = 1‚ 2‚ ...‚ m) are the free terms of the system. In matrix notation‚ this system has the form: Ax b ‚ (7.2) where A is the matrix of coefficients of the system (the main matrix)‚ A = [aik]mn‚ b is the column vector of the free terms‚ bT [b1 ‚ b2 ‚ ... ‚ bm ] ‚ x is the column vector of the unknowns‚ xT [ x1 ‚ x2 ‚ ... ‚ xn ] ; the
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