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Probability Probability : the degree of belief in the truth or falsity of a statement. Range of uncertainty from 0 to 1 - Certain statement is true : probability 1 - Certain statement is false : probability 0 Notation) 𝑃(𝑥) : probability of '𝑥' ~ 𝑥 : negation(부정) of statement '𝑥' Probability of a statement and the probability of the negation of a statement must sum to 1. If 𝑃(𝑥) = 1, then 𝑃(~𝑥) ..

Tangent Lines The slope of the tangent line gives the instantaneous rate of chnage(순간변화율). This is also called the derivative(도함수) of the function at that point, or 𝑓'(𝑎) Derivative Formula Exponents Exponents count how many times factors repeat in a number. 3^4 is pronounced "three to the fourth power" or "three to the fourth" * 4^2 : can be pronounced "four to the second" but also "four square..

Cartesian Plane 데카르트 좌표계; Axes and quadrants Distance Formula Clustering Consider set S = {O, B, D} 가 있다고 가정할 때, the nearest neighbor of A in S is D. the second nearest neighbor of A in S is O. the third nearest neighbor of A in S is B. Demystify formulas for equations of lines; Point-slope form & Slope-intercept form m > 0 : positive slope (증가) m < 0 : negative slope (감소) *y intercept : y절편 Fun..

Sets 2 ∈ A : "2 is an element of A" 8 ∉ A : "8 is not an element of A" Cardinality: The cardinality(size) of a set is the number of elements in it. |A| = 4 : "there are 4 elements in A, so the cardinality is 4" Example using set theory X = set of people in a clinical trial, VBS: very bad syndrome 이라고 가정할 때, S = {𝒳 ∈ X : 𝒳 has VBS} H = {𝒳 ∈ X : 𝒳 does not have VBS} (단, X = S ∪ H, S ∩ H = ∅ 이라고 가정..