본문 바로가기

수학(Curiosity)

(59)
so damn interesting math problems made by me Q1 You roll a fair 6-sided [1, 2, 3, 4, 5, 6] die three times (so outcomes are like (2,6,1), (4,4,4), etc.). You define a random variable X as the sum of the three rolls. Then define another random variable Y as whether the sequence is non-decreasing; 𝑅1≤ 𝑅2 ≤ 𝑅3 What is P(Y=True∣X=10)? Q2 A secret agent is in your cyber café. You know: 70% of people are regular customers (class Regular C=Reg..
goldbach crazy #!/usr/bin/env python3"""goldbach_helper.py – hybrid verifier / reducer for Goldbach’s conjectureSTRATEGY 1. If N ≤ WALL = 4·10^18 → rely on published exhaustive check. 2. Try to find a prime pair → full Goldbach success. 3. Fall back to Chen representation → prime + semiprime (p + (q·r)). • if the semiprime turns out to be prime → upgrade to Goldbach success..
여기에는 간단한 암호가 숨어있다 Dear Friend, This morning, while rummaging through my attic, I discovered a vintage photo nestled among old memories. Later, in a quiet corner of a forgotten library, I came across an ancient manuscript whose curious script wording revealed another secret. In the gentle glow of the afternoon, I attended a brief seminar where a live demonstration on math reel techniques caught my eye. Finally, as..
세 개의 질 문 , 세 명의 신 (질문은 오직 세 개만!!) There are three gods—A, B, and C—each of whom is either True, False, or Random. True always speaks the truth. False always lies. Random answers randomly. They understand English but respond in their own language using the words ja and da, which mean "yes" and "no"  (you do not know which word means which). You may ask three yes–no questions in total (each question can be addressed to any god, an..
재먀 수학 문제 ㅎㅎ If you're using the Squared Exponential covariance function, how does the distance between two points influence their relationship and tell me why ?, and what role does the lengthscale play in this? Problem: You are analyzing the number of customers visiting a café over several weeks. The café has a clear weekly pattern: customer numbers are higher on weekends and lower on weekdays, repeating th..
how to solve thanks limitless problem
thanks limitless problem In logistic regression, you are working with a model that predicts probabilities of outcomes based on a set of features. The model's performance is measured using a score called the negative log-ikelihood (NLL), which penalizes predictions that deviate from the actual outcomes. Given this negative log-ikelihood as a function of the model's weights, what is the derivative of the NLL with respect ..
happy problem the problem : Find the derivative with respect to z of the function f(z) For $f(z) = (1 + e^{-z})^{-1}$