Space between characters for summation cases condition

Question

I am using the following code for summation with cases:
$sigma(x) = begin{cases}
    1 if sum_{k=1}^{n} x_{k} > theta and i = 0
    0, textit{otherwise}
end{cases}$

However for this code, there are no spaces between the characters when the LaTeX code is compiled. How do I insert space between the characters?
Thanks!

Mico · Accepted Answer

Use & to separate the state from its explanation, and use text to denote text mode.
$sigma(x) = begin{cases}
    1 & text{if $sum_{k=1}^{n} x_{k} > theta$ and $i = 0$}
    0 & text{otherwise}
end{cases}$

Syntactically, if $sum_{k=1}^{n} x_{k} > theta$ and $i = 0$ is a sentence, albeit a sentence that contains two formulas.

Space between characters for summation cases condition

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