(a) How is math an integral part of our day to day life? "In mathematics‚ you don’t understand things. You just get used to them." -- Johann von Neumann Math is an integral part in a human being’s day to day life. We often look upon math in disdain however‚ we use math at every moment of our life and it plays a vital role in our life. The procedure of applying mathematics starts as early as you are born because the first thing known about your life is your time and date of birth‚ so your
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INTRODUCTION In our daily lives‚ we come across news like "prices of goods rising!" or "super discount!". This means that we have to pay a higher or a lower price for the same goods or services. Very often we use index numbers to indicate these changes. In Form 4‚ we have learnt about Index Number from Chapter 11 in Additional Mathematics. Do you know what exactly Index Number is? Well‚ an index number is an economic data figure reflecting price or quantity compared with a standard
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A Biography of Dr Maria Montessori Maria Montessori was born on the 31st August 1870 in the town of Chiaravalle‚ Italy. Her father‚ Alessandro‚ was an accountant in the civil service‚ and her mother‚ Renilde Stoppani‚ was well educated and had a passion for reading. The Montessori family moved to Rome in 1875‚ and the following year the young Maria enrolled in the local state school on the Via di San Nicolo da Tolentino. As her education progressed‚ she began to break through the barriers which
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The linear probability model‚ ctd. When Y is binary‚ the linear regression model Yi = β0 + β1Xi + ui is called the linear probability model. • The predicted value is a probability: • E(Y|X=x) = Pr(Y=1|X=x) = prob. that Y = 1 given x • Yˆ = the predicted probability that Yi = 1‚ given X • β1 = change in probability that Y = 1 for a given ∆x: Pr(Y = 1 | X = x + ∆x ) − Pr(Y = 1 | X = x ) β1 = ∆x 5 Example: linear probability model‚ HMDA data Mortgage denial v. ratio of debt payments to income (P/I
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For those who are unaware‚ at least 1 and 2 are thanks to Georg Cantor and his invention of set theory. He had to endure a lot of resistance from the mathematical luminaries of his day - Kronecker and apparently‚ even Poincaré! Like Nietzsche‚ he died in a mental institution‚ the vicious attacks on his ideas (mostly by Kronecker) having supposedly played a part in Cantor’s breakdown. His mathematical ideas also ran afoul of some religious "philosophers" who‚ as is usually the case‚ are never ever
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Linear Least Squares Suppose we are given a set of data points {(xi ‚ fi )}‚ i = 1‚ . . . ‚ n. These could be measurements from an experiment or obtained simply by evaluating a function at some points. You have seen that we can interpolate these points‚ i.e.‚ either find a polynomial of degree ≤ (n − 1) which passes through all n points or we can use a continuous piecewise interpolant of the data which is usually a better approach. How‚ it might be the case that we know that these data points should
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in the larval form‚ and not through any efforts it may make to imitate another butterfly. We serve the future by protecting the present. The more fully the needs of one period are met‚ the greater will be the success of the next.” (Maria Montessori) The Montessori environment may be looked at as a small society that is preparing the child for his future. Guiding him towards finding his role in the Universe; that he has a responsibility to nature; and to be respectful to everything in the Universe
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“Once I get into algebra‚ my parents will have to help me with my homework.” “I don’t need to know a lot of math.” “Math is so boring.” “I’m just not good with numbers. If I need to know that stuff‚ I ask my boyfriend.” Does any of the above sound familiar? Or do you also feel what others feel about their Mathematics subject? Don’t be dismayed‚ you’re not alone. There are many. While the geeks and nerds are enjoying problem solving‚ others surely hate the ancient Greeks for inventing Mathematics
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Name___________________________________________________________________________________Score______________/30 Math 146HON Winter 2012 Exam II Case Study – DUE MONDAY 3/5 IN CLASS USE THIS AS A COVER SHEET! Physicians ’ Reactions to Patient Size Research conducted by: Mikki Hebl and Jingping Xu; Case study prepared by: Emily Zitek Overview Obese people face discrimination on a daily basis in employment‚ education‚ and relationship contexts. Past research has shown that even doctors‚ who are trained
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Phoenix Computer 1. The incremental salary and training cost associated with hiring a new employee and training him/her to be laptop specialist. * Annual salary for new employee = $27‚000 * Cost for three month training program = $1‚500 per person * New employee undergoes three month training $27‚000/12 = $2‚250 $2‚250*3 months = $6‚750 $6‚750 + $1‚500 =$8‚250 per person The incremental salary and training cost associated with hiring a new employee and training
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