APSC 174J Lecture Notes
... to express this fact formally. To make this more concrete, consider the set N of all integers greater than or equal to 0; it is clear that every element x of N is such that x + 1 is also an element of N. We can write this statement formally (and succintly) as: ∀x ∈ N : x + 1 ∈ N. The symbol ∀ in the ...
... to express this fact formally. To make this more concrete, consider the set N of all integers greater than or equal to 0; it is clear that every element x of N is such that x + 1 is also an element of N. We can write this statement formally (and succintly) as: ∀x ∈ N : x + 1 ∈ N. The symbol ∀ in the ...
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... The same results could be found using a Smith Chart as shown in Figure 7. In this example, a shunt capacitor and a series inductor are used to match the 200 Ω source to a 50 Ω load. For a frequency of 10 MHz, the same capacitor and inductor values previously found using the resonant approach will tr ...
... The same results could be found using a Smith Chart as shown in Figure 7. In this example, a shunt capacitor and a series inductor are used to match the 200 Ω source to a 50 Ω load. For a frequency of 10 MHz, the same capacitor and inductor values previously found using the resonant approach will tr ...
35(2)
... and studied properties of such numbers. Fermat has thus shown that no Pythagorean number can be an integer square. To extend Fermat's result, one may ask if there exists a Pythagorean triangle whose area is p times a perfect square, p a given prime. It turns out that, for certain primes p = 1, 5, 7 ...
... and studied properties of such numbers. Fermat has thus shown that no Pythagorean number can be an integer square. To extend Fermat's result, one may ask if there exists a Pythagorean triangle whose area is p times a perfect square, p a given prime. It turns out that, for certain primes p = 1, 5, 7 ...
O A RIGINAL RTICLES
... and also the right hand sides of the constraints are considered as fuzzy numbers. We solve this type of problems by converting it into crisp multi objectives linear programming problems. Two numerical examples are presented to illustrate the method. Key words: Fuzzy numbers, Fuzzy linear programming ...
... and also the right hand sides of the constraints are considered as fuzzy numbers. We solve this type of problems by converting it into crisp multi objectives linear programming problems. Two numerical examples are presented to illustrate the method. Key words: Fuzzy numbers, Fuzzy linear programming ...
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.