NOTICE from J - JamesGoulding.com
... Clearly, if we keep going, z will get smaller and smaller, approaching 0. Now, what if we picked z = 2? Then f(2) = 4, f(4) = 16, f(16) = 256, and it is just as clear that z will increase without bound. If we pick z = 1, then f(1) = 1, and no matter how many times we apply f, z stays fixed at 1. So ...
... Clearly, if we keep going, z will get smaller and smaller, approaching 0. Now, what if we picked z = 2? Then f(2) = 4, f(4) = 16, f(16) = 256, and it is just as clear that z will increase without bound. If we pick z = 1, then f(1) = 1, and no matter how many times we apply f, z stays fixed at 1. So ...
Physics - CJM Shimla
... Special purpose p-n junction diodes: LED, photodiode, solar cell and Zener diode and their characteristics, zener diode as a voltage regulator. Junction transistor, transistor action, characteristics of a transistor and transistor as an amplifier (common emitter configuration), basic idea of analog ...
... Special purpose p-n junction diodes: LED, photodiode, solar cell and Zener diode and their characteristics, zener diode as a voltage regulator. Junction transistor, transistor action, characteristics of a transistor and transistor as an amplifier (common emitter configuration), basic idea of analog ...
Integrated Algebra Regents
... A’ Complement (also can be A ) = elements not in the set. Ex: U= {a, b, c, d}, A = {a, d}, A’ = {b, c} Interval Notation: ( means < or > [ means < or > Ex: (1, 5] means 1 < x < 5 Ex: x > 5 means (5, ) Ex: x < 5 means (- , 5] Domain is the x-values of an ordered pair and the range is the y-valu ...
... A’ Complement (also can be A ) = elements not in the set. Ex: U= {a, b, c, d}, A = {a, d}, A’ = {b, c} Interval Notation: ( means < or > [ means < or > Ex: (1, 5] means 1 < x < 5 Ex: x > 5 means (5, ) Ex: x < 5 means (- , 5] Domain is the x-values of an ordered pair and the range is the y-valu ...
Comparing Lines
... equations, and they are the same number for parallel lines. b. f(x) and g(x) are perpendicular when c = - 1/a (or, as we learned to say in my high school days, when one slope is “negative the reciprocal” of the other). These are the green (s(x)) and the blue (t(x)) graphs, where a = 2/3 and c = -3/2 ...
... equations, and they are the same number for parallel lines. b. f(x) and g(x) are perpendicular when c = - 1/a (or, as we learned to say in my high school days, when one slope is “negative the reciprocal” of the other). These are the green (s(x)) and the blue (t(x)) graphs, where a = 2/3 and c = -3/2 ...
A3
... As both of these automorphisms are continuous, we see that they are the only continuous automorphisms of C. (d) If we want to write down an automorphism of C “with a formula”, presumably the formula is a continuous function. From part (c) there are only two such automorphisms of C, and this explains ...
... As both of these automorphisms are continuous, we see that they are the only continuous automorphisms of C. (d) If we want to write down an automorphism of C “with a formula”, presumably the formula is a continuous function. From part (c) there are only two such automorphisms of C, and this explains ...
Hor
... Number Theory (Undergraduate Texts in Mathematics), Springer-Verlag. The materials covered in the project are from chapters 1 and 2, and the relevant exercises in the chapters are also attempted. The results are then submitted as a report. INTRODUCTION In the eighteenth century, Gauss and Legendre i ...
... Number Theory (Undergraduate Texts in Mathematics), Springer-Verlag. The materials covered in the project are from chapters 1 and 2, and the relevant exercises in the chapters are also attempted. The results are then submitted as a report. INTRODUCTION In the eighteenth century, Gauss and Legendre i ...
Exam-Prep Jepperdee
... How does the gain of a 2-element deltaloop compare to the gain of a two-el quad ...
... How does the gain of a 2-element deltaloop compare to the gain of a two-el quad ...
Complex Representation of Harmonic Oscillations
... It is often useful to use a polar representation of complex numbers. The angle between a radial line and the positive x-axis makes an angle called the argument of z or the phase of z. ...
... It is often useful to use a polar representation of complex numbers. The angle between a radial line and the positive x-axis makes an angle called the argument of z or the phase of z. ...
Assignment 6 – MATH 2210Q
... notation for a sequence S is S = (sk )k≥1 meaning that the k-th term of the sequence is sk . For instance, for the sequence T above, we have tk = 2k−1 . Let V be the set of all real-valued sequences. Clearly, we can add sequences in V (termwise addition) as follows: (sk )k≥1 + (tk )k≥1 = (sk + tk )k ...
... notation for a sequence S is S = (sk )k≥1 meaning that the k-th term of the sequence is sk . For instance, for the sequence T above, we have tk = 2k−1 . Let V be the set of all real-valued sequences. Clearly, we can add sequences in V (termwise addition) as follows: (sk )k≥1 + (tk )k≥1 = (sk + tk )k ...
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.