LAST THEOREM I am going to do my project in the field of number theory. Number theory‚ a subject with a long and rich history‚ has become increasingly important because of its application to computer science and cryptography. The core topics of number theory are such as divisibility‚ highest common factor‚ primes‚ factorization‚ Diophantine equations and so on‚ among which I chose Diophantine equations as the specific topic I would like to go deep into. Fermat ’s Last Theorem states
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Bernoulli’s Principle states that for an ideal fluid (low speed air is a good approximation)‚ with no work being performed on the fluid‚ an increase in velocity occurs simultaneously with decrease in pressure or a change in the fluid’s gravitational potential energy. This principle is a simplification of Bernoulli’s equation‚ which states that the sum of all forms of energy in a fluid flowing along an enclosed path (a streamline) is the same at any two points in that path. It is named after the
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1 10/10/01 Fermat’s Little Theorem From the Multinomial Theorem Thomas J. Osler (osler@rowan.edu) Rowan University‚ Glassboro‚ NJ 08028 Fermat’s Little Theorem [1] states that n p −1 − 1 is divisible by p whenever p is prime and n is an integer not divisible by p. This theorem is used in many of the simpler tests for primality. The so-called multinomial theorem (described in [2]) gives the expansion of a multinomial to an integer power p > 0‚ (a1 + a2 + ⋅⋅⋅ + an ) p = p k1 k2 kn a1 a2
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Chinese remainder theorem The Chinese remainder theorem is a result about congruences in number theory and its generalizations in abstract algebra. It was first published in the 3rd to 5th centuries by Chinese mathematician Sun Tzu. In its basic form‚ the Chinese remainder theorem will determine a number n that when divided by some given divisors leaves given remainders. For example‚ what is the lowest number n that when divided by 3 leaves a remainder of 2‚ when divided by 5 leaves a remainder
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Identify a character in the film that presented both their public and private self  I believe that Anthony is a character that showed both his public and private self throughout the film. He was very opinionated about not liking white people and he did not care about what people thought of it. Anthony was very proud to be an African American and it showed throughout the movie. You also got to see a softer side of him towards the end when he discovered the van full of foreign women and children
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I would like to start by saying that‚ I really enjoyed watching the movie CRASH‚ some of the things shown in the movie are very realistic and much of it can’t even be put into words. Two of the behaviors that I noticed most‚ are prejudice and stereotyping. It was the cause of where all the events eradicated from. These behaviors are viewed as thoughts and feelings that almost everyone has felt more than once. This movie shows us the different point of view
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Multiculturalism in Crash Crash is highly ambiguous in the depiction of multiculturalism in American society. Almost all the ethnicities depicted in Crash question the perception others have their particular group‚ but at the same time affirm the different stereotypes surrounding their ethnic group. For example‚ one of the black characters (‘Anthony’) remarks that they should be afraid in a white neighborhood‚ due to their group’s association with crime. Following this intelligent observation‚
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HSB 4M: Society Film Analysis CPT Movie 1 – Crash: Snow falling in Los Angeles Two African American men steal a white couple’s car Was previously complaining about black stereotypes being placed on them‚ then ironically does that which they are stereotyped for. (Sociology) Couple talking about always calling the man (assistant) Watch for dynamics between man and assistant (tied into sociology) Wife (Sandra bullock) very racist and stereotypical against minorities. Spanish man changed the
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The four color theorem is a mathematical theorem that states that‚ given a map‚ no more than four colors are required to color the regions of the map‚ so that no 2 regions that are touching (share a common boundary) have the same color. This theorem was proven by Kenneth Appel and Wolfgang Haken in 1976‚ and is unique because it was the first major theorem to be proven using a computer. This proof was first proposed in 1852 by Francis Guthrie when he was coloring the counties of England and realized
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Kirchhoff’s Law Kirchhoff’s current law (KCL) imposes constraints on the currents in the branches that are attached to each node of a circuit. In simplest terms‚ KCL states that the sum of the currents that are entering a given node must equal the sum of the currents that are leaving the node. Thus‚ the set of currents in branches attached to a given node can be partitioned into two groups whose orientation is away from (into) the node. The two groups must contain the same net current. In general
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