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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One bright‚ beautiful‚ blissful morning in medieval times. There stood the mighty kingdom of Bigelore. There lived the mighty and fearsome‚ Black Knight. He had a son‚ Little Grey Knight they call him Little Grey for being so short for his age. At only 3 feet tall‚ he was 7 years old and wore his grey armour all the time. He wanted to be like his father.Expected from him was a fearless knight. The truth is he is the complete opposite. He fears anything bigger than his size‚ seeing that in the kingdom
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through the events of the time period of the book or the time period of the novel. Influenced by stories of the Salem Witch Trials and Anne Hutchinson‚ Nathaniel Hawthorne presented his ideas of religion in the time period the novel was written. In The Scarlet Letter by Nathaniel Hawthorne‚ Puritan hypocrisy is a theme that prominently seen throughout the novel through actions and beliefs of the Puritan community. One of the best examples of Puritan hypocrisy occurs in the very last line of the novel‚
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In the Scarlet Letter two of the primary characters are provided by the author to show us a kind of foil. The one character‚ Reverend Dimmesdale‚ seems as if he is kind‚ but he has been living with a terrible burden‚ hindering him everywhere he goes. Chillingworth is his opposite‚ you would assume him to be nice when really he is quite evil. Dimmesdale and Chillingworth bring out each other’s characteristics and bring out the characteristics of other characters around them. Dimmesdale and Chillingworth
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looking for a quick‚ entertaining and juicy read‚ the Pretty Little Liars series could be a good companion for a rainy afternoon. We won’t be chattin’ philosophy‚ science or complex issues by the close of the final (cliffhanger of a) page‚ but that’s not what this is all about. This was cotton candy: fluffy and fun. And with six additional books in Shepard’s series‚ there’s plenty more where this snack of a story came from.Pretty Little Liars is a series of young-adult novels by author Sara Shepard
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~ The Scarlet Letter ~ Psychological Analysis "I experienced a sensation...of burning heat; and as if the letter sere not of red cloth‚ but red-hot iron." These words in the introduction to The Scarlet Letter describe the letter as an object that contains power. The power left in the little red piece of cloth represents all the emotional toil that was associated with it - guilt‚ pain‚ betrayal‚ and vengeance. Throughout the novel the letter will stir all these emotions‚ creating an intense psychological
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"When the little black dress is right‚ there is nothing else to wear in its place‚" as quoted by Valerie Mendes. You just throw it on and you are dressed for anything‚ regardless of which way the fickle winds of fashion happen to be blowing the rest of your attire. Anyone who purports to know even a little about fashion knows that a LBD as it is fondly referred to is one indispensable item in any woman’s wardrobe. It’s elegant‚ it’s sophisticated‚ it’s perfect for any occasion‚ and most importantly
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roller-coaster And the horizon sticks With a putrid odor of colors. Down on the beach A little Jewish tailor from the Bronx‚ With a bad stomach‚ Throws up the hot-dog sandwiches He ate in the afternoon While life to him Is like a sick tomato In a garbage can. The sun‚ Like the red yolk of a rotten egg‚ Falls behind the roller-coaster And the horizon sticks With a putrid odor of colors. Down on the beach A little Jewish tailor from the Bronx‚ With a bad stomach‚ Throws up the hot-dog sandwiches
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The Effects of the Little Albert Studies on Classical Conditioning Classical conditioning has been impacted by many studies. The Little Albert experiment which was done by Watson and Rayner in 1920 showed empirical evidence of classical conditioning in humans. Although this case study is widely disputed in it’s methods‚ it added a world of knowledge to the field of psychology. This was a huge breakthrough for behavioral studies. Up until this time it was shown that classical conditioning was possible
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Tamara Haddad Wilhite P.5 Scarlet Letter Dialectical Journal “Like anything that pertains to crime‚ it seemed never to have a youthful era… a wild rose-bush‚ in this month of June‚ with delicate gems‚ which might be imagined to offer their fragrance and fragile beauty to the prisoner as he went in” (Hawthorne 45). Hawthorne describes the door of the jail‚ as well as the rose bush to the side of it. I feel as if this is supposed to represent what Hester is about the experience: the harsh
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