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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"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 first story in Ten Little Indians‚ written by Sherman Alexie introduces a college student with a passion for poetry and a drive to do anything to strengthen her knowledge of it. Similar to her passion‚ I have a passion for different law cases and I like to dissect every aspect of them to learn as much as possible. I then read the article‚ Rebel Music written by Daniel Felsenfeld‚ a pianist and music enthusiast. He describes how music had always been in his life‚ but he never truly found it until
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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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Our Identity is shaped by our relationships Good morning/afternoon everyone‚ my name is Jessica Holmes and I’m coming from the VCAA education department. I’m here today to talk to you about how‚ “our identity is shaped by our relationships”. When I say relationships‚ I don’t just mean boyfriend/girlfriend relationship‚ I’m also talking about family‚ friends and other relationships. I’m talking about identity since it’s your context writing theme for year 12. Our family is huge in determining
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“Gilded Decay” The Little Foxes is set in the deep south‚ in the spring of 1900. This setting is historically at the cusp of what is referred to as the Gilded Age. The “Gilded Age” is considered to be the decades between 1870 and 1900 and is a term coined by Mark Twain. It was used to describe a period with many social problems that were masked by the rise of new money. Greed‚ scandal‚ and corrupt policies ran rampant during this time; however‚ as we look back‚ this was also a point in history where
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Our reality is based on our memories – about what we want to see. Depending on what we choose to remember shapes who we are and our reality. Some people may choose to remember all the good times in their life and perceive the world around them to be carefree and happy. Some may remember certain choices during their adolescence and regret those choices. Everyone’s reality is different which makes us unique‚ as we choose to remember and forget different things. Sometimes we may not get to remember
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numerous reasons. One reason for this is all the beautiful attractions the "Little Grand Canyon" offers to people. In the first paragraph‚ it says‚ "Travelers who visit the forested areas near Lumpkin‚ Georgia‚ often think they have made a few wrong turns and have ended up in America’s southwest instead of Georgia’s southwest. That’s because of the beautiful sandstone formations found in an area nicknamed Georgia’s "Little Grand Canyon." As you can see this is explaining that people have argued over
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Our Decisions Determine Our Destiny Our whole life is based on the decisions we make‚ whether it is big decisions like if we choose to go to college‚ get married‚ or have kids‚ or even smaller decisions such as if we decide to turn left or right on a walk. All of these decisions that we make in life can change our future‚ and of course we all want to make the right decisions so that we have a good future. God is so wonderful that he equipped us with moral law‚ which provides ways to tell the difference
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