Sequences and Series
... 3. The design shown below, which approximates a fractal, is created with midsegments. Beginning with any triangle, shade the triangle formed by the three midsegments. Continue the process for each unshaded triangle. Suppose the perimeter of the original triangle is 1. Fill in the table for the tota ...
... 3. The design shown below, which approximates a fractal, is created with midsegments. Beginning with any triangle, shade the triangle formed by the three midsegments. Continue the process for each unshaded triangle. Suppose the perimeter of the original triangle is 1. Fill in the table for the tota ...
MM2009 Maths Methods 2
... We can also represent complex numbers as free vectors. The advantage of vector representation means that addition of complex numbers is then equivalent to the addition of the corresponding vectors. If z1 x1 y1i and z 2 x2 y2i then z1 z 2 x1 x2 y1 y2 i and z1 z 2 will form ...
... We can also represent complex numbers as free vectors. The advantage of vector representation means that addition of complex numbers is then equivalent to the addition of the corresponding vectors. If z1 x1 y1i and z 2 x2 y2i then z1 z 2 x1 x2 y1 y2 i and z1 z 2 will form ...
Introduction
... I. Imaginary Numbers are based on and derived from the following definition: 1 i which means i 2 1 Using this definition it is possible to express the square root of a negative number using “i” notation: ...
... I. Imaginary Numbers are based on and derived from the following definition: 1 i which means i 2 1 Using this definition it is possible to express the square root of a negative number using “i” notation: ...
PLL synthesizing oscillator (3)
... I introduce the PLL synthesizer oscillator by MC14046B which can change the frequency. The PLL oscillator can be made using three kinds pieces of the ICs like the figure above. Because most of the functions are stored in the ICs, there are few, too, circumference circuits and the making is easy. The ...
... I introduce the PLL synthesizer oscillator by MC14046B which can change the frequency. The PLL oscillator can be made using three kinds pieces of the ICs like the figure above. Because most of the functions are stored in the ICs, there are few, too, circumference circuits and the making is easy. The ...
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.