Suppose you needed to find out if anyone in a group of people had a birthday on a particular date. One approach would be to ask the members one at a time. If you took this approach, the occurrence of what event would tell you that there was such a person? What event would tell you that there was no such person? Now suppose that you wanted to find out if at least one of the positive integers has a particular property and you applied the same approach of systematically testing the integers one at a time. If, in fact some integer has the property, how would you find out? If, however, no integer has the property, how would you find out? Is the task of testing to see if a conjecture is true necessarily symmetric with the task of testing to see if it is false?
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Computer Science: An Overview (12th Edition)
- I am what you call a perfectionist. I always strive for perfection, and I appreciate everyone and everything that is perfect. That is why I have recently acquired an appreciation for perfect numbers! I absolutely need to know which numbers from 1 to 1000 are considered perfect. From what I recall, a perfect number is a positive integer that is equal to the sum of all its divisors other than itself. Example: 6 is a perfect number because the divisors of 6 other than itself are 1, 2, and 3, and 1 + 2 + 3 = 6. c++ codearrow_forwardImplement a java project to help in the study analysis with the following steps:• Read from the user the number of cities (minimum 6 cities.)• For each city: city name and the number of persons (minimum 10 persons) are entered.• For each person in a city: mass and height should be entered, BMI and BMI category have to becomputed and printed.• For each city, the number of persons and percent ratio in each BMI category should be computedand printedarrow_forwardA group of individuals are living on an island when a visitor arrives with an unusual order: all blue-eyed people must leave the island immediately. Every evening at 8:00 p.m., a flight will depart. Everyone can see everyone else's eye colour, but no one knows their own (nor is anyone allowed to tell them). Furthermore, they have no idea how many people have blue eyes, but they do know that at least one person has. How long will it take for the blue-eyed individuals to leave?arrow_forward
- Why do there always be straight lines even I have changed the parameters?arrow_forwardApply gaussian random walk(walking in a random direction with each step of length 1. i.e. each time at random theta it will walk cos(theta) at x, sin(theta) at y). What is the probability that the walk starting at (0,0) will end at (5,5)? How to simulate it in python?arrow_forwardSuppose you are going to simulate GPS positioning using 4 satellites. You are going to pretend to be a GPS receiver somewhere on the map and will figure out where you are based on the 4 “signals” you receive. But for you (and for a GPS receiver) all those signals tell you is where the satellite was when it sent the signal, and how long it took for the signal to get from the satellite to you. You need to determine where you could be (Mention distance in terms of grunters chain), based on that amount of time elapsed. The speed of light (R) is 299,792,458 m / s. You need to account for the scale factor of the map. This map has a scale factor of 1:21,283,839. This means that 1 meter on the map equals 21,283,839 meters on the earth’s surface. A = .00415783 seconds B = .00400006 seconds C = .00837010 seconds D = .00712225 secondsarrow_forward
- Computer science. Correct answer will be upvoted else downvoted. Think about a n by n chessboard. Its columns are numbered from 1 to n from the top to the base. Its sections are numbered from 1 to n from the passed on to one side. A cell on a convergence of x-th line and y-th section is indicated (x,y). The fundamental corner to corner of the chessboard is cells (x,x) for all 1≤x≤n. A stage of {1,2,3,… ,n} is composed on the fundamental slanting of the chessboard. There is actually one number composed on every one of the cells. The issue is to segment the cells under and on the principle askew (there are by and large 1+2+… +n such cells) into n associated areas fulfilling the accompanying imperatives: Each district ought to be associated. That implies that we can move from any cell of a locale to some other cell of a similar area visiting just cells of a similar district and moving from a cell to a neighboring cell. The x-th area ought to contain cell on the fundamental…arrow_forwardThe Monte Carlo method is used in modeling a wide-range of physical systems at the forefront of scientific research today. Monte Carlo simulations are statistical models based on a series of random numbers. Let's consider the problem of estimating Pi by utilizing the Monte Carlo method. Suppose you have a circle inscribed in a square (as in the figure). The experiment simply consists of throwing darts on this figure completely at random (meaning that every point on the dartboard has an equal chance of being hit by the dart). How can we use this experiment to estimate Pi? The answer lies in discovering the relationship between the geometry of the figure and the statistical outcome of throwing the darts. Let's first look at the geometry of the figure. Let's assume the radius of the circle is R, then the Area of the circle = Pi * R^2 and the Area of the square = 4 * R^2. Now if we divide the area of the circle by the area of the square we get Pi / 4. But, how do we estimate Pi by…arrow_forwardConsider the case when several persons play the wireless phone game. They send a message from the first person until the last one and the message gets distorted. Simulate this process according to your own distortion rules.arrow_forward
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