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2024/2/5 -Suppose that the domain consists of all people. Express each of these statements using quantifiers; logical connectives; and ...

2024/4/15 -This is a compilation of solutions for the 2002 USAMO. The ideas of the solution are a mix of my own work, the solutions provided by the competition.

5日前 -First, let the domain consist of the students in your class and second, let it consist of all people. Let: S(x) = x is a student in your class. C(x) = x has a ...

2023/11/7 -Let a be the mean and variance of X and b be the mean and variance of Y. ... Let p(x) be the probability of x payments. The ... Let H = event of homeowner being ...

2024/2/4 -Part (c) Step 1: Given information ... Given in the question that, you toss a fair coin 4 times. Let X = the number of heads you get. We need to find P ( X ≤ 3 ) ...

2024/4/15 -This is a compilation of solutions for the 1999 IMO. The ideas of the solution are a mix of my own work, the solutions provided by the competition.

2024/1/23 -If p = 1/2, then H(X) = 2 bits. (b) Intuitively, it seems clear that the best questions are those that have equally likely chances of receiving a yes or a no ...

2024/4/27 -Let a random variable H ∈ {H1, H0} be a true hypothesis. Let a random variable ̂H ∈ {H0, H1} be the decision of the test based on the random vector X.

2024/4/18 -These are lecture notes for AME 20231, Thermodynamics, a sophomore-level undergraduate course taught in the Department of Aerospace and Mechanical ...

2024/2/25 -Let s(x) be the number of times the sign of the number changes in the sequence p0(x),p1(x),...pn(x). If x<x′, the number of roots of p(x) between x and x′ is s( ...