LORENTZIAN PYTHAGOREAN TRIPLES and LORENTZIAN UNIT CIRCLE
... This equation is a Lorentzian unit circle of radius 1. The Lorentz unit circle has two obvious points with rational coordinates (0, 1) and (0, −1). Suppose that we take any (rational) number m and look at the line L going through the point (0, 1) and having slope m. The line L is given by the equati ...
... This equation is a Lorentzian unit circle of radius 1. The Lorentz unit circle has two obvious points with rational coordinates (0, 1) and (0, −1). Suppose that we take any (rational) number m and look at the line L going through the point (0, 1) and having slope m. The line L is given by the equati ...
Chapter 9 Math Notes
... Improper fraction – a number in which the numerator is greater than the denominator. For whole numbers: 1. Write a denominator that is the same as the whole number. 2. Multiply the whole number by the denominator to get the numerator. For mixed numbers: 1. Multiply the denominator by the whole numbe ...
... Improper fraction – a number in which the numerator is greater than the denominator. For whole numbers: 1. Write a denominator that is the same as the whole number. 2. Multiply the whole number by the denominator to get the numerator. For mixed numbers: 1. Multiply the denominator by the whole numbe ...
Extended Euclidean Algorithm
... are N and M and N>M (In the applet they are never equal.) Then the only numbers that could be obtained by taking differences are the multiples of gcd(N,M). Furthermore, all such numbers will eventually appear on the board regardless of the sequence of moves (why?). Therefore, the total number of int ...
... are N and M and N>M (In the applet they are never equal.) Then the only numbers that could be obtained by taking differences are the multiples of gcd(N,M). Furthermore, all such numbers will eventually appear on the board regardless of the sequence of moves (why?). Therefore, the total number of int ...
Hausdorff dimension and Diophantine approximation Yann
... The irrationality exponent µ introduced in Definition 1.1 is an example of an exponent of approximation, that is, of a function defined on the set of real irrational numbers by means of consideration from Diophantine approximation. Definition 1.2. The spectrum of an exponent of approximation is the ...
... The irrationality exponent µ introduced in Definition 1.1 is an example of an exponent of approximation, that is, of a function defined on the set of real irrational numbers by means of consideration from Diophantine approximation. Definition 1.2. The spectrum of an exponent of approximation is the ...
Basic Math - AIDT - Alabama Industrial Development Training
... Add numerators together and reduce answer to lowest terms. Add sum of fractions to the sum of whole numbers. ...
... Add numerators together and reduce answer to lowest terms. Add sum of fractions to the sum of whole numbers. ...
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.