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Code&Data Insights
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Databases : an organized collection of data that exists over a long period of time ( Persistent storage ) - collection of data about different kinds of individuals(Entities) and the relationship between individuals. DBMS ( Database Management System ) : a complex software package developed to store and mange databases - supports convenient, efficient, and secure access and manipulation of large ..
UI - User Interface API - Application Programming Interface UI (일반 사용자) -> 이미 개발자나 엔지니어가 만들어 놓은 버튼 등등을 통해 시스템을 제어함. API (개발자) -> 소프트웨어 개발자들은 "API" 응용을 통해 시스템을 제어함 -> 플랫폼(운영체제)에서 미리 만들어놓은 API 기반을 통해 응용 프로그램을 생성 UI와 API의 접점 =====> INTERFACE * UI와 API사이에는 계층이 존재* ( 각 계층사이에는 Interface가 각각 존재) USER >>>>> Web Dev. > Web Browser Dev.> Operating System Dev. > C \ C++(programming lang. > Assembly Lang. >..
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Covariance : Covariance and Correlation, both describe the relationship between two numerical variables. How to get a covariance value between X and Y? 1) Find the deviation from X to x. (Y and y) ------------> (x- x) and (y- y) 2) multiply (x- x) and (y- y) 3) Add the values, find the sum 4) divide by n-1 -> WHY did we divide by n-1, not just n? : " Degrees of Freedom" - We can't calculate the..
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[ Probability Theory ] Probability theory is the study of uncertainty. It is about the concepts from probability theory for deriving machine learning algorithms and delves(=examines) into a branch of analysis known as measure theory. 1 Elements of probability - Sample Space Ω : The set of all the outcomes of a random experiment. - Sets of Events(=event space) : F: A set whose elements A ∈ F(call..
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[ Discrete random variables : Bernoulli / Binomial / Geometric / Poisson ]
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Marcov's Inequality : For a continuous nonnegative random variable X, and c>0, then * One of the application of E(x)* Chebyshev's Theorem : a fact that applies to all possible data sets. It describes the minimum proportion of the measurements that lie must within one, two, or more standard deviations of the mean. Conditional Probability P(A | B) = P(A and B) / P(B) : a measure of an event occuri..
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[ Joint Distribution ] : the probability mass function and the probability distribution function can also be functions of more than one variable. [ Joint Probability Functions ] - Joint Cumulative Distribution Function For a pair of random variables X,Y, the joint cumulative distribution function (CDF) Fxy is given by
Mutually exclusive -> disjoint, two events cannot occur at same time -> NO INTERSECTION Q) Find the probabitliy that all of the events A, B, C occurs if A, B, C are mutually exclusive. => Since A, B, C are mutually exclusive, they have no union. The probability that all the events A, B, C occur is 0. P( ABC | A,B,C mutually exclusive ) -> P(ABC) = 0 Independent -> One does not affect to the othe..