The AKS primality test (also known as Agrawal–Kayal–Saxena primality test and cyclotomic AKS test) is a deterministic primality-proving algorithm created and published by Manindra Agrawal‚ Neeraj Kayal‚ and Nitin Saxena‚ computer scientists at the Indian Institute of Technology Kanpur‚ on August 6‚ 2002‚ in a paper titled "PRIMES is in P".[1] The authors received many accolades‚ including the 2006 Gödel Prize and the 2006 Fulkerson Prize‚ for this work. The algorithm determines whether a number
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180 countries. The company cereal products are generally marked under the Kellogg name .it s founder Dr. John Harvey Kellogg and his brother William keith Kellogg invented the cornflake in 1894. Kellogg’s India is a 100% subsidiary of Kellogg Company‚ USA and it’s beg player in the Indian breakfast cereal market .Kellogg has invested over US$ 30 million. Kellogg entered India with Cornflakes in 1991 india.it s set up and invested in a Greenfield manufacturing plant for cereal at Tajola (Mumbai).when
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still experiencing the symptoms for such a lengthy amount of time‚ made me wonder about how S. pneumoniae affects individuals who are immunocompromised. If this infection can cause a healthy person to be debilitated for over a month‚ what happens to individuals who unfortunately do not have the system in place to fight this infection? I chose
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Chebyshev’s Theorem and The Empirical Rule Suppose we ask 1000 people what their age is. If this is a representative sample then there will be very few people of 1-2 years old just as there will not be many 95 year olds. Most will have an age somewhere in their 30’s or 40’s. A list of the number of people of a certain age may look like this: |Age |Number of people | |0 |1 | |1 |2 | |2 |3
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Gauss Markov Theorem In the mode [pic]is such that the following two conditions on the random vector [pic]are met: 1. [pic] 2. [pic] the best (minimum variance) linear (linear functions of the [pic]) unbiased estimator of [pic]is given by least squares estimator; that is‚ [pic]is the best linear unbiased estimator (BLUE) of [pic]. Proof: Let [pic]be any [pic]constant matrix and let [pic]; [pic] is a general linear function of [pic]‚ which we shall take as an estimator of [pic]. We must specify
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Greek mathematician and philosopher. Pythagoras was responsible for important developments in the history of mathematics‚ astronomy‚ and the theory of music. The thing that Pythagoras is probably the most famous for is the Pythagorean Theorem. The Pythagorean Theorem is used in the field of mathematics and it states the following: the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides. This means that if one makes a square (with all sides equal in
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Geometry Definitions‚ Postulates and Theorems Definitions Name Complementary Angles Supplementary Angles Theorem Vertical Angles Transversal Corresponding angles Same-side interior angles Alternate interior angles Congruent triangles Similar triangles Angle bisector Segment bisector Legs of an isosceles triangle Base of an isosceles triangle Equiangular Perpendicular bisector Altitude Definition Two angles whose measures have a sum of 90o Two angles whose measures have a sum of 180o A statement
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display the temperature at that depth in degrees Celsius and Fahrenheit. The relevant formulas are: Celsius = 10 x (depth) + 20 (Celsius temperature at depth in km) Farhrenheit = 1.8 x (Celsius) + 32 8. The Pythagorean Theorem states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse. For example‚ if two sides of a right triangle have lengths 3 and 4‚ then the hypotenuse must have a length of 5. The integers 3‚ 4‚ and 5
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The Plasticity of L.A. L.A. Land "I love Los Angeles. I love Hollywood. They’re beautiful. Everybody’s plastic‚ but I love plastic. I want to be plastic." - Andy Warhol “Probably no city in the Western world has a more negative image” - Richard Lehan‚ professor emeritus‚ University of California‚ Los Angeles There are two visions of Los Angeles – one of a successful‚ sprawling ‘Jewel of the West Coast’ and one‚ the ‘‘nightmare’ anti-myth’ of superficial soullessness first depicted by
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timer was started. (6) The timer was stopped when the “x” was no longer visible when viewed from above. (7) The experiment was repeated at 50‚ 60‚ 70 and 800C. Results Experiment number 1 2 3 4 5 Temperature (0C) 40 50 60 70 80 Time for X to disappear (s) 25 20 16 11 7 1/time Analysis and Evaluation questions (1) Complete the missing column on the results table. (2) Draw a graph of temperature (x-axis) against 1/time (y-axis) (3) The experiment carried out is an investigation into rate of reaction
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