------------------------------------------------- Real number In mathematics‚ a real number is a value that represents a quantity along a continuum‚ such as 5 (an integer)‚ 3/4 (a rational number that is not an integer)‚ 8.6 (a rational number expressed in decimal representation)‚ and π (3.1415926535...‚ an irrational number). As a subset of the real numbers‚ the integers‚ such as 5‚ express discrete rather than continuous quantities. Complex numbers include real numbers as a special case. Real
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Matrics & Determinants Matrix operations‚ Definition and properties of determinats‚ Cofactors‚ Adjoint‚ Elementry Transformations‚ Rank and inverse of a Matrix‚ Matrix Polynomial‚ Characteristic Equations‚Eigen Values‚ Latent Vectors‚ Caylay Hamilton theorem‚ Linear system of Equations. Theory Of Equations Polynomials and their charcteristics‚ Roots of an equation‚ Relations between Roots and Coefficients‚Transformation of Equations‚ Symmetric function etc. Abstracy Algebra Groups‚ Cyclic
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Convolution codes and viterbi algorithm Name Rahul Kumar Department of Electronics & Communication Engineering Lovely Professional University‚ Kapurthala‚ Punjab. Abstract:- A convolutional code is a type of error-correcting code in which each m-bit information symbol (each m-bit string) to be encoded is transformed into an n-bit symbol‚ where m/n is the code rate (n ≥ m) and the transformation is a function of the last k information symbols‚ where k is the constraint length of the code.
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but after your calculus class I had a deeper understanding of the topics you taught us. And‚ since in your class I began to understand the usefulness of things like related rates or integration‚ it felt like the years of memorizing properties of polynomials and how to apply an equation to a word problem were finally worth something.
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A STUDY ON THE PROSPECT AND PROBLEMS OF CARGO HANDLING IN CHENNAI PORT: Introduction: Chennai Port‚ the third oldest port among the 12 major ports‚ is an emerging hub port in the East Coast of India. This gateway port for all cargo has completed 128 years of glorious service to the nation’s maritime trade. Maritime trade started way back in 1639 on the sea shore Chennai. It was an open road -stead and exposed sandy coast till 1815. The initial
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Proceedings der Int. Conf. on Technology in Math. Teaching (ICTMT 5)‚ Klagenfurt 2001 Mathematical Application Projects for Mechanical Engineers Concept‚ Guidelines and Examples Burkhard Alpers FH Aalen - University of Applied Sciences balper@fh-aalen.de http://www.fbm.fh-aalen.de/ Abstract: In this article‚ we present the concept of mathematical application projects as a means to enhance the capabilities of engineering students to use mathematics for solving problems in larger projects as
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the ultimate in critical and analytical thinking. Math fires rockets into space‚ shows insurance companies what is fair price‚ tells psychologists that therapy X works and the drug Y doesn’t. It is true that nobody is going to hire you to factor a polynomial or solve a linear equation. But people are also not going to hire you to write essays on the Civil War‚
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Convex Optimization Solutions Manual Stephen Boyd Lieven Vandenberghe January 4‚ 2006 Chapter 2 Convex sets Exercises Exercises Definition of convexity 2.1 Let C ⊆ Rn be a convex set‚ with x1 ‚ . . . ‚ xk ∈ C‚ and let θ1 ‚ . . . ‚ θk ∈ R satisfy θi ≥ 0‚ θ1 + · · · + θk = 1. Show that θ1 x1 + · · · + θk xk ∈ C. (The definition of convexity is that this holds for k = 2; you must show it for arbitrary k.) Hint. Use induction on k. Solution. This is readily shown by induction from
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Introduction to Laplace Transforms for Engineers C.T.J. Dodson‚ School of Mathematics‚ Manchester University 1 What are Laplace Transforms‚ and Why? This is much easier to state than to motivate! We state the definition in two ways‚ first in words to explain it intuitively‚ then in symbols so that we can calculate transforms. Definition 1 Given f‚ a function of time‚ with value f (t) at time t‚ the Laplace transform of f is ˜ denoted f and it gives an average value of f taken over all
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Questioning 3. Explanation 4. Stimulus Variation 5. Black Board Writing. UNIT-VI a) Number System : Natural Number‚ Whole Number‚ Integers‚ Rational Number‚ Irrational Number and Operations with Numbers. b) Polynomial. c) Equations: Linear‚ Simultaneous and Quadratic Equations and their solution. d)
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