Continuous Fourier transform‚ Sampling theorem‚ sequences‚ z-transform‚ convolution and correlation. • Stochastic processes: Probability theory‚ random processes‚ power spectral density‚ Gaussian process. & • Modulation and encoding: % ’ Basic modulation techniques and binary data transmission:AM‚ FM‚ Pulse Modulation‚ PCM‚ DPCM‚ Delta Modulation • Information theory: Information‚ entropy‚ source coding theorem‚ mutual information‚ channel coding theorem‚ channel capacity‚ rate-distortion theory
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Common Course Plan |Course (Long) Name: IB Calculus |Course Code: MA962/MA971 (02132G) | |Course (Short) Name: IBCALCULUS |Course Unit Value: 1 credit (0.5 x 2 semesters) | |Curricular Content Area: Mathematics |Licensure Requirement: 400 | |As of: June 22‚ 2012
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Information Technology Agriculture Life Sciences Medical Sciences Plastic Surgery Chapter IV : The Scientists of India 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. Acharya P.C. Ray Anil Kakodkr Aryabhata A.P.J. Abdul Kalam A.S. Paintal Bhaskara -II Birbal Sahni Charaka Brahma Gupta C.K.N . Patel C.R. Rao C.V. Raman D.R. Kaperkar Part II An Exploration of Indian Scientific Saga Part II 3 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33
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topics of Napoleon’s Theorem‚ the first thing that struck my mind was that it was somehow related to the French leader‚ Napoleon Bonaparte. But then a thought struck me: Napoleon was supposed to good at only politics and the art of warfare. Mathematics was never related to him. On surfing the internet to learn about the theorem‚ I came to know that this theorem was in fact named after the same Napoleon as he was good at Maths too (other than waging wars and killing people). The theorem was discovered in
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Graphs‚ Groups and Surfaces 1 Introduction In this paper‚ we will discuss the interactions among graphs‚ groups and surfaces. For any given graph‚ we know that there is an automorphism group associated with it. On the other hand‚ for any group‚ we could associate with it a graph representation‚ namely a Cayley graph of presentations of the group. We will first describe such a correspondence. Also‚ a graph is always embeddable in some surface. So we will then focus on properties of graphs
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Which of the following states that‚ “if a polynomial P(x) is divided by x – a then the remainder is p (a)”? a. Factor Theorem b. Polynomial Function c. Rational Root Theorem d. Remainder Theorem 10. Which theorem refers to‚ “if P(x) is a polynomial and p(a) = 0 then x – a is a factor of P(x)”? a. Factor Theorem b. Polynomial Function c. Rational Root Theorem d. Remainder Theorem 11. In P(x) = (x + 1) (‚ what term refers to? a. Binomial c. Quadratic Equation b. Depressed Factor d.
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The objectives of Optimization Theory 2 Existence of Solutions 3 Unconstrained Optima 4 Equality Constraints 5 Inequality Constraints 6 Convex Structures in Optimization Theory 7 Quasiconvexity in Optimization 8 Parametric Continuity: The Maximum Theorem 9 Supermodularity and Parametric Monotonicity Filomena Garcia Optimization Existence of Solutions Unconstrained Optima Equality Constraints Inequality Constraints Convex Structures in Optimization Theory Quasiconvexity Optimization Problems
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The Indian Space Programme‚ from its very inception‚ has been geared towards national development. It has harnessed space technology for the benefit of our society right down to the grass roots level. Development of Thought: The remarkable development in space technology and its application during the last three decades have firmly established its immense potential for the development of the human society as a whole. Space platforms are now being extensively used for reaching global communication
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organize geometry into a rigorous body of knowledge” and his theories have had a major influence on civilization. * He developed a formal system that consisted of three parts: * Axioms * Deductive reasoning * Theorems * Axioms: * “starting points or basic assumpstions” * There are requirements for a set of axioms: * Consistent: If you can deduce a variable and its opposite from a set of axioms that that is inconsistent. Inconsistency
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Science is a body of empirical‚ theoretical‚ and practical knowledge about the natural world‚ produced by researchers making use of scientific methods‚ which emphasize the observation‚ explanation‚ and prediction of real world phenomena by experiment. Given the dual status of science as objective knowledge and as a human construct‚ good historiography of science draws on the historical methods of both intellectual history and social history. Tracing the exact origins of modern science is possible
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