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The problem to determine all positive integers such that the concatenation of and in base uses at most distinct characters for and fixed [citation needed] and many other problems in the coding theory are also the unsolved problems in mathematics.
It is impossible to solve in half of the starting positions. [1] Five room puzzle – Cross each wall of a diagram exactly once with a continuous line. [2] MU puzzle – Transform the string MI to MU according to a set of rules. [3] Mutilated chessboard problem – Place 31 dominoes of size 2×1 on a chessboard with two opposite corners removed ...
The confused student put a question mark next to the problem—and we probably would have too. The rest of the problems were much less confusing and fairly straightforward. “Eric has $15.
A solved game is a game whose outcome (win, lose or draw) can be correctly predicted from any position, assuming that both players play perfectly.This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory or computer assistance.
For example, if s=2, then 𝜁(s) is the well-known series 1 + 1/4 + 1/9 + 1/16 + …, which strangely adds up to exactly 𝜋²/6. When s is a complex number—one that looks like a+b𝑖, using ...
Hilbert's tenth problem: the problem of deciding whether a Diophantine equation (multivariable polynomial equation) has a solution in integers. Determining whether a given initial point with rational coordinates is periodic, or whether it lies in the basin of attraction of a given open set, in a piecewise-linear iterated map in two dimensions ...
The halting problem is a decision problem about properties of computer programs on a fixed Turing-complete model of computation, i.e., all programs that can be written in some given programming language that is general enough to be equivalent to a Turing machine. The problem is to determine, given a program and an input to the program, whether ...
Some of these brain teasers are pretty tough, while others are easier than they seem. Just be sure to pause the video if you need a moment to think -- number one may have you smacking your head ...