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complex numbers and differential equations
complex numbers and differential equations

... These notes introduce complex numbers and their use in solving differential equations. Using them, trigonometric functions can often be omitted from the methods even when they arise in a given problem or its solution. Still, the solution of a differential equation is always presented in a form in wh ...
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... FILTER FREQUENCY RESPONSE 9. Now choose one of your team’s filter designs from Part 4 (you should each have done one in the PreLab) and construct individually a chosen designed filter. Plot frequency response of the circuits measuring the response at at least 20 different frequencies and compare mea ...
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... the opportunity to become actively involved in learning. Children begin school with more mathematical knowledge and intuition than previously believed. Teachers, and their ability to provide excellent instruction, are the key factors in the success of any program. ...
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AC frequency and wavelength

... Between 2 MHz and 88 MHz we have “Short Wave” radio. Around 100 MHz we have FM radio. Between 100 MHz and 300 MHz, we have television. Between 300 MHz and 600 MHz, we call it “Micro Wave”. Most of today’s cell phones and satellite communications come in to play from 600 MHz to 3,000 MHz (or 3 GHz, G ...
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... 45o. The boy and the girl are on the opposite sides of the bird. Find the distance of the bird from the girl. 18. If the point (x , y) is equidistant from the points (a + b, b-a) and (a-b , a + b), then prove that b x = a y. 19. Find the sum of the first 25 terms of an AP whose nth term is given by ...
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... • Patterns and algebra - use variables to represent numbers, create algebraic expressions, evaluate algebraic expressions by substitution • Linear and non-linear relationships - plot points on a Cartesian plane, find coordinates for points on a Cartesian plane, solve simple linear equations and crea ...
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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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