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... one can, instead of summing the numbers one by one, pair up the numbers thus: 1 + n, 2 + (n − 1), 3 + (n − 2), etc., and each of these sums has the same result, namely, n + 1. Since there are n of these sums, carrying this all the way through to the end, we are in effect squaring n + 1, which is (n ...
... one can, instead of summing the numbers one by one, pair up the numbers thus: 1 + n, 2 + (n − 1), 3 + (n − 2), etc., and each of these sums has the same result, namely, n + 1. Since there are n of these sums, carrying this all the way through to the end, we are in effect squaring n + 1, which is (n ...
Wireless Communications and Networks
... The angle of incidence will be equal to the angle of reflection. The reflection coefficient, is defined as the ratio of the electric intensity of the reflected wave to that of the incident wave. For a perfect reflector it is unity. It is important that the electric vector be perpendicular to the con ...
... The angle of incidence will be equal to the angle of reflection. The reflection coefficient, is defined as the ratio of the electric intensity of the reflected wave to that of the incident wave. For a perfect reflector it is unity. It is important that the electric vector be perpendicular to the con ...
Review for Final Exam
... AC Steady-State Analysis • AC steady-state analysis using phasors allows us to express the relationship between current and voltage using an Ohm’s law-like formula: V=IZ • A phasor is a complex number that represents the magnitude and phase of a sinusoidal voltage or current x(t) = XM cos(ωt+θ) ↔ X ...
... AC Steady-State Analysis • AC steady-state analysis using phasors allows us to express the relationship between current and voltage using an Ohm’s law-like formula: V=IZ • A phasor is a complex number that represents the magnitude and phase of a sinusoidal voltage or current x(t) = XM cos(ωt+θ) ↔ X ...
Document
... Electrical Engineering is Applied Electromagnetics • As devices get smaller and smaller (relative to a wavelength), circuit theory is less able to adequately describe the performance, or be used to predict the operation of circuits. • At very high frequencies, transmission line and guided wave theor ...
... Electrical Engineering is Applied Electromagnetics • As devices get smaller and smaller (relative to a wavelength), circuit theory is less able to adequately describe the performance, or be used to predict the operation of circuits. • At very high frequencies, transmission line and guided wave theor ...
File - PROJECT MATHS REVISION
... (2) Equality of Complex Numbers If we are told that 2 complex numbers are equal, we can let the real parts equal to each other and separately, let the imaginary parts equal to each other, therefore creating two equations. Example 1 If a bi c di Then we can say that a c and b d Please not ...
... (2) Equality of Complex Numbers If we are told that 2 complex numbers are equal, we can let the real parts equal to each other and separately, let the imaginary parts equal to each other, therefore creating two equations. Example 1 If a bi c di Then we can say that a c and b d Please not ...
Section 3.2 Complex Numbers
... subtract) their real parts and their imaginary parts separately. *It might help to highlight like terms. Add or subtract. Write the answers in standard form. ...
... subtract) their real parts and their imaginary parts separately. *It might help to highlight like terms. Add or subtract. Write the answers in standard form. ...
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.