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The monkey and the coconuts is a mathematical puzzle in the field of Diophantine analysis that originated in a short story involving five sailors and a monkey on a desert island who divide up a pile of coconuts; the problem is to find the number of coconuts in the original pile (fractional coconuts not allowed).
Considering mathematics as a formal language, a variable is a symbol from an alphabet, usually a letter like x, y, and z, which denotes a range of possible values. [7] If a variable is free in a given expression or formula, then it can be replaced with any of the values in its range. [8] Certain kinds of bound variables can be substituted too.
78 of the 156 possible friends-strangers graphs with 6 nodes. The other 78 can be obtained by reversing the red and blue colours of each graph. For each graph the red/blue nodes shows a sample triplet of mutual friends/strangers. The theorem on friends and strangers is a mathematical theorem in an area of mathematics called Ramsey theory.
After answering this question correctly, this genius 6-year-old boy went on to tackle the test's next stumper, and this is where magic happened: ... Instead of showing the math behind the answer ...
For real numbers, this formula is true if we substitute (arbitrarily) =, but is false if = It is the presence of a free variable, rather than the inconstant truth value, that is important; for example, even for complex numbers, where the formula is always true, it is still not considered a sentence.
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Because of this, often, the only simple effective way to deal with multiplication by expressions involving variables is to substitute each of the solutions obtained into the original equation and confirm that this yields a valid equation. After discarding solutions that yield an invalid equation, we will have the correct set of solutions.
If conversation is starting to die down, here are 200 funny questions to ask or text your friends or your date the next time you need to liven up the mood.
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