space. ‚ p ‚ • For instance‚ if there are two independent variables‚ we are fitting the points to a ‘plane in space’. trick. • Visualizing this in more dimensions is a good trick Model specification – scalar version • The basic linear model: • Yi = ß0 + ß1 X1i+ ß2X2i+ ß3X3i +….+ ßkXki +ui …. u • If bivariate regression can be described as a line on a plane‚ multiple regression represents a k-dimensional object in a k+1 d dimensional space. l Matrix version • We can use a different type
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– bi Similarly if z2 = x – yi then the conjugate z2* = x + yi z z* will always be real (as i2 = -1) For two expressions containing complex numbers to be equal‚ both the real parts must be equal and the imaginary parts must also be equal. If z1 = a + bi ‚ z2 = x + yi and 2z1 = z2 + 3 then 2( a + bi) = x + yi + 3 hence 2a + 2bi = x + 3 + yi
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Okenwa who finally finds happiness in his love for Kung Fu. Okenwa’s parents are college professors and wants Okenwa to be just like them. But Okenwa does not like doing the things his parents want him to do such as reading‚ instead he finds happiness in Kung Fu. His new friend Raphael accepts him for what he likes and helps Okenwa grasp his inner happiness by teaching him the skills of Kung Fu. Okenwa recognizes‚ "What I loved was kung fu. I watched “Enter the Dragon” so often
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Amy Tan’s The Kitchen God’s Wife is the story of a relationship between a mother and daughter that is much more than it seems. The story revolves around secrets and conflicts between mother and daughter‚ Chinese immigrant Winnie and her Americanize daughter Pearl. For over fifty years‚ Winnie has kept some of the worst possible secrets. When Helen her sister in law confronts Winnie telling her she just can’t keep the secrets anymore‚ Winnie must come clean. Interestingly the person Winnie most wanted
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Trent Thompson 1/26/11 Dr. Bisson Book Essay 1 Six Records of a Floating Life Shen Fu was a Chinese writer and art dealer who lived during the Qing Dynasty. He had a very strong love for his wife Chen Yun and she is the inspiration for his book “Six Records of a Floating Life”‚ which vividly describes their life and love together. Shen Fu discusses the happiness that he found in marriage to his cousin Yun‚ in his first chapter‚ “Joys of the Wedding Chamber”. He then goes into detail‚ and
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Arithmetic Straight Line Yc = a + Yi – 1 Where: Yc = initial Value (1st year) Yn = Final Value (last year) N = number of years Yi = value for the year past a = Yn - Yc N – 1 = 5975147 – 5413182 5 – 1 = 140‚ 491.25 Historical Values | |Y |a |Yi – 1 |Yc
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MEI STRUCTURED MATHEMATICS EXAMINATION FORMULAE AND TABLES 1 Arithmetic series General (kth) term‚ last (nth) term‚ l = Sum to n terms‚ Geometric series General (kth) term‚ Sum to n terms‚ Sum to infinity Infinite series f(x) uk = a + (k – 1)d un = a + (n – l)d – – Sn = 1 n(a + l) = 1 n[2a + (n – 1)d] 2 2 x2 xr = f(0) + xf’(0) + –– f"(0) + ... + –– f (r)(0) + ... 2! r! f(x) f(a + x) uk = a r k–1 a(1 – r n) a(r n – 1) Sn = –––––––– = –––––––– 1–r r–1
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Li Po and Tu Fu are extremely great poet’s. A critic has said that “Li Po’s poetry appears to posses a life or vitality of it’s own‚ and so well is it’s art concealed that gives the impression of being quite artless and unpremeditated. Tu Fu’s poetry on the other hand is above all serious in purpose and full of deep meaning.” I have to agree with the critic because when I read Li Po’s poetry I get a felling that he just lets everything out of his head onto his paper. Tu Fu’s poetry seems a lot more
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the theme remains the same. In each story‚ there is an outward transformation of "Cinderbottom" to "Cinderella." In the French "Cinderella" by Charles Perrault‚ the Native American "Oochigeasw" by an unknown author‚ and "A Chinese "Cinderella" by Tuan Ch’eng-shih‚ all of them show the transformation of Cinderella from "rags to rich" because of her kind heart and dedication (614-616). Charles Perrault’s French version of "Cinderella" is one that is well-known. Walt Disney created a similar version
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STRUCTURE PRESERVING IMAGE INTERPOLATION VIA ADAPTIVE 2D AUTOREGRESSIVE MODELING Xiangjun Zhang and Xiaolin Wu Department of Electrical & Computer Engineering‚ McMaster University Hamilton‚ ON‚ Canada L8S 4K1; zhangxj@grads.ece.mcmaster.ca/xwu@ece.mcmaster.ca ABSTRACT The performance of image interpolation depends on an image model that can adapt to nonstationary statistics of natural images when estimating the missing pixels. However‚ the construction of such an adaptive model needs the knowledge
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