![[Part 1]](http://s1.studyres.com/store/data/008795780_1-2d32093eb8955eecb4220b99bc38a981-300x300.png)
Complex Numbers
... Basic Definitions You’re used to real numbers and how they’re graphed on the real number line. ...
... Basic Definitions You’re used to real numbers and how they’re graphed on the real number line. ...
Unique representations of real numbers in non
... 1. Introduction. Problems related to the expansions of real numbers in noninteger bases have been systematically studied since the late 1950’s, starting with the seminal works by Rényi [16] and Parry [15]. The original approach is based on a specific algorithm for choosing “digits” (e.g. the greedy ...
... 1. Introduction. Problems related to the expansions of real numbers in noninteger bases have been systematically studied since the late 1950’s, starting with the seminal works by Rényi [16] and Parry [15]. The original approach is based on a specific algorithm for choosing “digits” (e.g. the greedy ...
A Unit 5 - Formulae
... 1) Give examples of equations, formulae, identities and expressions. Ask students to distinguish between them. E.g. Formulae: E = mc2, V = IR Expressions: 2y, 4x – 3, 3a2 Identities: x2 x x x, 9y2 + 3y 3y(3y + 1) Equations: 3y – 1 = 4, 9x2 + 2 = 38 2) Think of a number: E.g. a) My number plus 6 ...
... 1) Give examples of equations, formulae, identities and expressions. Ask students to distinguish between them. E.g. Formulae: E = mc2, V = IR Expressions: 2y, 4x – 3, 3a2 Identities: x2 x x x, 9y2 + 3y 3y(3y + 1) Equations: 3y – 1 = 4, 9x2 + 2 = 38 2) Think of a number: E.g. a) My number plus 6 ...
Full text
... A proof of Theorem 1 can be found in [1], or in [7, exercise 131] or in [8]. For our purpose it is practical to introduce the following notion (see [6]): Definition: A sequence (An) satisfying conditions (4) and (5) of Theorem 1 is said to be interval-filling (relating to [0, s]) if every number x E ...
... A proof of Theorem 1 can be found in [1], or in [7, exercise 131] or in [8]. For our purpose it is practical to introduce the following notion (see [6]): Definition: A sequence (An) satisfying conditions (4) and (5) of Theorem 1 is said to be interval-filling (relating to [0, s]) if every number x E ...
Full text
... Dirichlet's theorem (or simpler arguments), there are infinitely many primes/? with/? equal to 2 or 3 mod 5, so b = 3a modp for arbitrarily large values of/?. We deduce that b = 3a, as required. 4. MEMAKKS (a) Notice that the example of the golden mean shift plays a vital role here. If it were not t ...
... Dirichlet's theorem (or simpler arguments), there are infinitely many primes/? with/? equal to 2 or 3 mod 5, so b = 3a modp for arbitrarily large values of/?. We deduce that b = 3a, as required. 4. MEMAKKS (a) Notice that the example of the golden mean shift plays a vital role here. If it were not t ...
Natural (or Counting) Numbers
... (pi). Even though it is more commonly known as 3.14, that is a rounded value for pi. Actually it is 3.1415927... It would keep going and going and going without any real repetition or pattern. In other words, it would be a non terminating, non repeating decimal, which again, can not be written as a ...
... (pi). Even though it is more commonly known as 3.14, that is a rounded value for pi. Actually it is 3.1415927... It would keep going and going and going without any real repetition or pattern. In other words, it would be a non terminating, non repeating decimal, which again, can not be written as a ...
