Geometry: Mapping Objectives
... circles, Externally tangent circles, Central angle, Arc, Minor arc, Major arc, Semicircle, Adjacent arcs, Inscribed angle, Intercepted arc 2. Objective 2: Be able to apply theorems relating to tangents and radii of circles Applying Pythagorean Theorem to triangles produced using a radius and a tange ...
... circles, Externally tangent circles, Central angle, Arc, Minor arc, Major arc, Semicircle, Adjacent arcs, Inscribed angle, Intercepted arc 2. Objective 2: Be able to apply theorems relating to tangents and radii of circles Applying Pythagorean Theorem to triangles produced using a radius and a tange ...
Characteristic functions and the central limit theorem
... not be a characteristic function. I will show that the desired result will follow if we have the added condition that the limit of characteristic functions is continuous at 0. Theorem 3.8 (Helly’s Selection Theorem). For every sequence of (Fn )n of distribution functions, there exists a subsequence ...
... not be a characteristic function. I will show that the desired result will follow if we have the added condition that the limit of characteristic functions is continuous at 0. Theorem 3.8 (Helly’s Selection Theorem). For every sequence of (Fn )n of distribution functions, there exists a subsequence ...
2 Congruences
... residue system modulo m is the subset of a complete residue system consisting of those elements that are relatively prime with m. Definition 2.19 (Euler phi-function). Let m ∈ N. The Euler phi-function, denoted by ϕ(m), is defined by ϕ(m) = #{1 ≤ n ≤ m : (n, m) = 1}, i.e., ϕ(m) is the number of elem ...
... residue system modulo m is the subset of a complete residue system consisting of those elements that are relatively prime with m. Definition 2.19 (Euler phi-function). Let m ∈ N. The Euler phi-function, denoted by ϕ(m), is defined by ϕ(m) = #{1 ≤ n ≤ m : (n, m) = 1}, i.e., ϕ(m) is the number of elem ...
