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목록🌳Coursework Insights🍀😊🪄✨ (25)
A Joyful AI Research Journey🌳😊
Q: Given a pinhole camera whose focal length is 2mm. Calculate the coordinates of the vanishing point of all the parallel lines in the real world which are parallel to the line passing through the point (0.1m, 0.3m, 0.1m) and the pinhole.A:To calculate the coordinates of the vanishing point of all lines parallel to the line passing through the point (0.1m, 0.3m, 0.1m) and the pinhole of a pinhol..
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,..
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..
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..