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In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more than t boxes need to be bought ...
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
The mathematical analysis of the problem reveals that the expected number of trials needed grows as O(nlog(n)). For example, when n = 50 it takes about 225 samples to collect all 50 coupons. Although the O-notation is correct as it is, I think it would be better to be consistent with the following article and write n ln n + \gamma n + O(1).
Many of these problems can be related to real-life packaging, storage and transportation issues. Each packing problem has a dual covering problem, which asks how many of the same objects are required to completely cover every region of the container, where objects are allowed to overlap. In a bin packing problem, people are given:
The translator's notes observe that the 17-animal inheritance puzzle, a mathematical puzzle whose first publication is in the works of Muhaqiqi Naraqi, is a variant of this problem, with 17 camels to be divided in the same proportions. It is found in hundreds of recreational mathematics books, such as those of E. Fourrey (1949) and G. Boucheny ...
Microsoft Math contains features that are designed to assist in solving mathematics, science, and tech-related problems, as well as to educate the user. The application features such tools as a graphing calculator and a unit converter. It also includes a triangle solver and an equation solver that provides step-by-step solutions to each problem.
Aurelio Ángel Baldor de la Vega (October 22, 1906, Havana, Cuba – April 2, 1978, Miami) was a Cuban mathematician, educator and lawyer. [1] Baldor is the author of a secondary school algebra textbook, titled Álgebra, used throughout the Spanish-speaking world and published for the first time in 1941.
If you've ever used a coupon to make a purchase you are part of the 94% of adults who have made couponing so prevalent in today's society. What is surprising is that when most shoppers encounter a ...