A Joyful AI Research Journey🌳😊

https://www.onlinemathlearning.com/informal-proof-pythagorean-theorem.html Informal Proof of the Pythagorean Theorem (examples, solutions, videos, worksheets, lesson plans)Learn the Pythagorean theorem and an informal proof of the theorem, examples and step by step solutions, Common Core Grade 8www.onlinemathlearning.com

Inclusion-Exclusion Formula Question 1 It is known that two events A and B in some probability space have probabilities 0.7 and 0.8. What is the minimal possible probability of an event "A and B" (the intersection of both events)? 0.7 + 0.8 - 1 = 0.5 Recall the inclusion and exclusion formula: Pr[A or B] = Pr[A] + Pr[B] - Pr[A and B]. This probability could not exceed 1, and Pr[A] + Pr[B] = 1.5,..

https://gmy.book.eutopos.co.kr/book/magazine/view/book/956 세계로 미래로 책으로 - 김영사 21세기 지식기반사회를 선도하는 종합출판기업 김영사의 홈페이지입니다. 김영사, 비채, 포이에마의 도서정보와 도서 관련 콘텐츠를 제공합니다. gmy.book.eutopos.co.kr ⑥ Q: 인간과 인공지능의 가장 큰 차이는 결국 "의식"의 유무인데, 시스템에서는 의식은 필요 없다고 생각합니다. 그러나 유발 하라리 작가님이 설명했듯이 과학과 경제에는 브레이크가 듣지 않습니다. 의식이 없는 기능적인 AI는 약한 AI개념에 속하고 인간과 같은 의식을 가지는 AI를 강한 AI라 규정하고 이미 이를 창조하려고 노력하고 있습니다. 잘 알겠지만 AI 개념의 원조라고 할 만한 HAL..

Q: What is the fraction of beans that end near the center (bins 40-60 among 0-100) for the ideal Galton board with 100 layers? (You may try to write a program, or use some scientific computations tool. For such a problem wolfram alpha should be enough.) A: The fraction of beans that end near the center (bins 40-60 among 0-100) for an ideal Galton board with 100 layers can be calculated using the..

https://www.sisain.co.kr/news/articleView.html?idxno=20130 뉴턴과 아인슈타인의 공통점은 ‘몰입’ 이런 몰입 상태가 되면 내 머리가 마치 슈퍼뇌가 된 것 같다. 기적 같은 아이디어가 쏟아지고, 기분도 무척 좋아진다. 가치관도 바뀐다. 나는 몰입을 경험하면서 삶의 방정식이랄까, 행복의 방정식을 푼 것 같았다. ‘이제까지 내가 헛살았구나, 하루를 살아도 이렇게 살아야겠구나’ 하는 생각도 들었다. 〈피터 팬〉을 쓴 제임스 배리는 이렇게 말한다. “행복의 비밀은 내가 좋아하는 일을 하는 것이 아니라 내가 하는 일을 좋아하는 것이다”라고. 공부든 일이든 마찬가지다. 즐겁게 하다 보면 누릴 수 있는 행복 또한 무한대로 커진다. 재미있으면 몰입하게 된다. 스포츠나 전자오락..

https://www.infoq.com/news/2024/02/mit-antibiotic-ai/ MIT Researchers Use Explainable AI Model to Discover New Antibiotics Researchers from MIT's Collins lab used an explainable deep-learning model to discover chemical compounds which could fight the MRSA bacteria. The model uses graph algorithms to identify chemical compounds which are likely to have antibiotic properties. Ad www.infoq.com

Definition. We say that two numbers a and b are congruent modulo m if they have the same remainder when divided by m. We denote this by a ≡ b mod m We say integers a and b are "congruent modulo n" if their difference is a multiple of n. For example, 17 and 5 are congruent modulo 3 because 17 - 5 = 12 = 4⋅3. It can be expressed by 17 ≡ 5 mod 3. https://aimath.org/news/congruentnumbers/modulo.html..

a, b = 15, 4 print(a // b, a % b) print(divmod(a, b)) result) 3 3 (3, 3) The divmod(a, b) function is a built-in function in Python that takes two numbers as arguments and returns a tuple containing two values: the quotient (the result of the floor division a // b) and the remainder (a % b). Essentially, it combines the operations of floor division and modulo in a single function.

Question) There is a pile of 11 rocks. Two players take rocks from the pile in turns. In each turn a player can either take one or two rocks from the pile. The player that takes the last rock wins the game. You move first. Answer) You need to play in such a way that you maintain the strategy of leaving a multiple of 3 for the opponent. ex) You Take two rocks Your opponent Take two rocks You Take..

The table below gives a summary of the four selection schemes. Question) We have an unlimited supply of tomatoes, bell peppers and lettuce. We want to make a salad out of 4 units among these three ingredients (we do not have to use all ingredients). The order in which we use the ingredients does not matter. How many different salads we can make? Answer) To solve this problem, we can use the conc..

from itertools import product for t in product('abc', repeat=2): print(*t, sep='', end=' ') Result) aa ab ac ba bb bc ca cb cc This usage of the asterisk (`*`) is known as the unpacking operator in Python. It is used to unpack the elements of the iterable `t`. Here's a breakdown of what's happening: - `product('abc', repeat=2)` generates the Cartesian product of the string `'abc'` with itself, r..

In Python, when working with sets: The union operation is performed using the | operator. The union of two sets is a set containing all the elements that are in either of the two sets. For example, if set1 = {1, 2, 3} and set2 = {3, 4, 5}, then set1 | set2 would result in {1, 2, 3, 4, 5}. The intersection operation is performed using the & operator. The intersection of two sets is a set containi..

Summary. Invariants are important tools for proving impossibility, termination, and various bounds. Invariants may take many forms: numbers, "parity", equations, inequalities. To prove impossibility, one finds a quantity that never changes during a process. To prove that a process terminates in a number of steps, one usually finds a quantity that decreases at every step. Double counting is a met..

ChatGPT, OpenAI Algorithms: An algorithm is a step-by-step procedure or formula for solving a problem. It's about the 'how' – how to perform a task, how to process data, how to solve a particular problem. Algorithms are used for a wide range of purposes in computer science, from data sorting and searching to complex problem-solving in various domains. They are the methods or processes followed t..

Q) There are two equally sized cups: cup 1 contains coffee and cup 2 contains milk. Both cups are half full (we are optimists). Your favorite drink is 1/3 coffee and 2/3 milk. Can you get such a drink in cup 1 by transferring (any amount of) liquid between the two cups? Any amount of your favorite drink would work --- the right proportion is what matters. A) It's impossible to create a drink wit..