This image. The curly bracket (some form of matrix)? What is it? How would I use it? I would find the meaning some other way, but I don't even know what to look up.
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This is not a matrix, it is "definition by cases" (and yes, in LaTeX the command is \begin{cases}. That is, at each line is given a formula which defines the value of the defined function for some of the arguments, like in the first case, first line is value if argument is an even integer, second line is value in all other cases (from context, probably here it means "odd integers". – kjetil b halvorsen Jan 21 '14 at 21:18
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The first function evaluates to $0.5$ if $n$ is even and to $0.2$ otherwise, that is what the notation means. For example, $\zeta (2)=0.5$ and $\zeta (3)=0.2$.
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But what do they MEAN. Now, let's say, in the second function, I have μ(12). Since 12 is even, does μ(12) = 0.7? Sorry, I am very new to this. – Trace Jan 21 '14 at 21:20
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2Yes $\mu(12)=0.7$ and also $\mu(42)=0.7$ whereas $\mu(1729)=0$. – Hagen von Eitzen Jan 21 '14 at 21:21
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Thank you very much. I was very confused about this. I am appreciative of your help, both of you. – Trace Jan 21 '14 at 21:22