Introduction Part A Part B Conclusion Introduction The aim of this IA is to find out the pattern of the equations with complex numbers by using our knowledge. I used de Moivre’s theorem and binomial expansion‚ to find out the specific pattern and make conjecture about it. I basically used property of binominal theory with the relationship between the length of the line segments and the roots. Part A To obtain the solutions to the equation ) | | Moivre’s theorem‚ (| | equation‚ we will get: ‚ I used
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where he found a book about Fermat’s theorem. He thought the theorem was so easy to understand that he decided to be the first to prove it. It wasn’t until 1986 when he heard Rivet had proved Serre’s e-conjecture and so he made a connection between Fermat’s Last Theorem and the Taniyama- Shimura conjecture. Beginning in the summer of 1975‚ Wiles and his fellow colleague‚ John Coates‚ began to work together on the arithmetic of elliptic curves with complex multiplication by the methods of Iwasawa theory
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OPINION/ ARGUMENTATIVE ESSAYS ESSAY ANALYSIS: “School uniforms must be compulsory”. Do you agree or disagree with this opinion? Individualism is a fundamental value in the United States. All Americans believe in the right to express their own opinion without fear of punishment. This value‚ however‚ is coming under fire in an unlikely place – the public school classroom. The issue is school uniforms. Should public school students be allowed to make individual decisions about clothing
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as pointed out by Carl Hempel (1905–1997)‚ this simple view of the scientific method is incomplete; a conjecture can also incorporate probabilities‚ e.g.‚ the drug is effective about 70% of the time.[5] Tests‚ in this case‚ must be repeated to substantiate the conjecture (in particular‚ the probabilities). In this and other cases‚ we can quantify a probability for our confidence in the conjecture itself and then apply a Bayesian analysis‚ with each experimental result shifting the probability either
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consider these premises‚ we arrive at the core argument - because we cannot have shared experiences and because our experiences are unique to ourselves‚ we cannot have the experiences of another and therefore‚ other minds cannot exist. A common refutation of the aforementioned argument is that the ability of humans to perform analogical inference points to the existence of other minds. For example‚ if I stub my toe‚ I will cry out in pain and recoil. When
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impacts for our environment‚ I am sure that reducing the use of plastic bags will be happened soon. Con: they are really convenient for all of us to carry things Refutation: plastic bag is a huge cause of the global warming that we are confronting at the moment. Con: we can use and hold plastic bags everywhere Refutation: plastic can damage environment. Conclusion: we have known that after all plastic bags are used. They will be bad wastes of the world. So‚ we can do a little work
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Merton’s quote at first glance I was in disagreement with him‚ however‚ after carefully reading the quote several times and dissecting it I came to both understand and agree with his overall view. According to the Merriam-Webster the definition of Conjecture is merely one’s interpretation of what is according to their experiences‚ etc. (Merriam-Webster‚ 2013). Merton’s quote has reminded me of my own spiritual path and the questions of validity that arose during my late teenage years‚ also‚ I it is
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actual or ideal beholder is what accounts for admirability‚ he would have stymied Socrates. And it is true that it would be flawed to compare the more abstract things like laws and practices to bodies‚ colours‚ shapes and sounds. Therefore‚ Socrates refutation is not sound‚ as one of the premises can be
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following: (1) the historical structure of scientific creation from starting point to breakthrough‚ and then to establishment; (2) the process from the primary through the productive aspects of the scientific problem‚ the idea of creation‚ the primary conjecture‚ the scientific hypothesis‚ and finally the emergence of the genetic structure establishing the theory; and (3) the problem threshold of rationality in scientific creation. Given that the theory of scientific creation adopts the descriptive viewpoint
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Heresies in Church Heresy is the refutation of the truth as taught by the church. Heretic safeguards the manifestation and existence of Christianity but denies the principle and the true meaning of Christianity. A heretic will pursues a bogus belief for desire of human approval while keeping the outward appearance of Christianity. In the medieval foundations orthodox‚ Christianity was the most important essence of the church. The experience of Christians for more than a thousand years drew a line
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