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Quesiton: A Group Theoretic Analysis of 15-Puzzle
The 15-puzzle, invented by Noyes Palmer Chapman, and popularized by mathematical puzzle-maker Samuel Loyd in late 1980s, is a permutation puzzle best known for the hysteria surrounding it. Loyd even offered a prize of $1000 - a handsome amount at that time - to the first person with the correct solution. No one was able to solve the puzzle, which in words of Loyd "drove the whole world crazy". The reason for the hysteria - which, for Lyod, was justified - was due to the fact that no solution to the puzzle is possible. In this paper, we will present a brief description of the puzzle and will present a proof of the impossibility of the solution to the original puzzle using a group-theoretic approach.
Short Paper on Cross-cultural Opportunities and Conflicts in Canada.
Sociology are very fundamental in nature. Role strain and role constraint speak about the duties and responsibilities of the roles of people in society or in a group. A short theory about Darwin and Moths is also answered.
This review will help the reader understand the social work profession through different concepts giving the glimpse of why the social work profession might have drifted away from its original purpose of serving the poor.
Schizophrenia does not really have just one single cause. It is a possibility that this disorder could be inherited but not all doctors are sure.
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The paper aims to highlight the global trends in countries and regions where 3G has already been introduced and propose an implementation plan to the telecom operators of developing countries.
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Write a definition for associative property of multiplication.
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