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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The binomial theorem is a simplified way of finding the expansion of a binomial to a certain power. We can of course find the expanded form of any binomial to a certain power by writing it and doing each step‚ but this process can be very time consuming when you get into let’s say a binomial to the 10th power. Example: (x+y)^0=1 of course because anything to the power if 0 equal 1 (x+y)^1= x+y anything to a power of 1 is just itself. (x+y)^2= (x+y)(x+y) NOT x^2+y^2. So expand (x+y)(x+y)=x^2+xy+yx+y^2
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By Paul Bailey Question # 2 Why is context important in the study of Hermeneutics? Why is context important in the study of hermeneutics? Introduction “All licensed London taxi drivers need to pass a special test before they can drive one of the Capital ’s famous black cabs. This test is called the Knowledge”.[1] Likened to the special test‚ called the ‘Knowledge’‚ that taxi drivers in London need to pass in order to drive a black cab; so it is in order to know the route to righteousness
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Level of Significance (alpha) 0.010 0.010 0.010 0.010 Critical Value (lower tail) -2.576 -2.576 -2.576 -2.576 Critical Value (upper tail) 2.576 2.576 2.576 2.576 Hypothesized value 12 12 12 12 Standard Error 0.040 0.040 0.038 0.038 Test Statistic -1.027 0.713 -2.935 2.161 p-value 0.304 0.476 0.003 0.031 Only sample 3 leads to the rejection of the hypothesis H0: µ = 12. Thus‚ corrective action is warranted for sample 3. The other samples indicate H0 cannot be rejected and thus from all
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task of teaching whether it is teacher-centred or student-centred. Jarvis (2002) views teaching as both an art and a science. In doing so‚ one can combine the authoritarian didacticism approach with the democratic facilitator’s approach with no limit on the combinations. The lecture is “probably the most frequently employed teaching technique despite all the criticisms that have been levelled against it” (Jarvis‚ 1983 p 117). It is “an economical means of transmitting factual information to
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Contents Univariate Data 2 Central tendency 2 Mean 2 Median 3 Mode 3 Trimean 3 Trimmed Mean 3 Spread 3 Range 3 Semi Inter Quartile Rang 3 Variance and Standard Deviation 3 Skew 3 Graphical Representations 4 Frequency Polygons& Cumulative Frequency Polygons 4 Histograms & Bar Graphs 4 Stem and Leaf plots 4 Box Plots 4 Describing Bivariate Data 4 Scatterplots 4 Pearson’s Correlation 4 Spearman’s Rho 4 Probability 4 Binomial Distribution 4 Assumptions:
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been asked to detail two things why I think that it is important to study the history of criminal justice as well as how studying history helps us to I think that it is important to study the history of criminal justice because often times I have imagined a world where people allocate a collective amnesia about what happened in the past. Every generation would be forced to recreate knowledge their intimates had. This would create humankind without history. The study of history dispels such mass
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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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Psych Stats Exam 4 Study Guide 1) One way ANOVA is the appropriate statistical test when there is one nominal independent variable with at least 3 levels; one sacle DV‚ and either between groups or within groups design 2) One way ANOVA Null Hypothesis: No differences between population means. µ1=µ2=µ3 Alternative Hypothesis: At least one pop mean is different from at least one other pop mean. (Can’t use symbols) 3) Numerator of the F statistic measures between groups variance (MSbetween)
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(28). Even though AA Fly’s sample is 1 day shorter than TT Air‚ it does not significantly affect the output as the one day does not change much (unless there had been a market shock). However based on Central Limit Theorem‚ if the sample size is greater than or equal to 30 samples‚ the sample statistics reflect the time population parameters. • The Median data does not show much in this case as the range (4.7 AA Fly and 6.8 TT Air) is small for both AA Fly and TT Air. This means that the mean is
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