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Full text
Full text

... binomial coefficient I . J in terms of a q-bracket function and using this in relation (2) just as we here used relation (2) in (16) to get (30) and then (31)* The development of the q-analog of the greatest integer function will be left for a separate account It seems notwithout interest to exhibit ...
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MATH160/101 Algebra Outline Notes. Buy hardcopy from Uni

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... 1. If twice a number is equal to 68, find the number. 2. If a number is decreased by 4, the result is 29. Find the number. 3. If a number is increased by 8, the result is 25. Find the number. 4. If a number is divided by 9, the result is 12. Find the number. 5. If three times a number decreased by 5 ...
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... set of equations with B −1 . As Gaussian elimination preserves the solutions to a system of linear equations (row equivalence), (2) and (3) are equivalent. As we are interested in the set of feasible solutions to the problem, we must have xB = B −1 b − B −1 N xN for all feasible solutions. Therefore ...
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... equation can then be solved for u by factoring or using the quadratic formula. Then the substitution can be reversed by replacing u with x2, and solving for x. Equations like this are said to be reducible to quadratic, or quadratic in form. Copyright © 2009 Pearson Education, Inc. ...
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Mathematics of radio engineering



The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.
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