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Typos

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Mark 2023-10-17 09:19:14 -07:00
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4
Advanced/Lambda Calculus/parts/00 intro.tex
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@ -224,7 +224,7 @@ A = \lm f .(\tzm{a} ~ \lm a . f(f(a)) ~ \tzm{b})
\path[draw = gray] (aa) to (bb); \path[draw = gray] (aa) to (bb);
\end{tikzpicture} \end{tikzpicture}
$$ $$
When we evaluate $A$ with one input, it constructs a new function with the argument we gave it. \par When we evaluate $A$ with one input, it constructs a new function with the argument we give it. \par
For example, let's apply $A$ to an arbirary function $N$: For example, let's apply $A$ to an arbirary function $N$:
$$ $$
A~N = A~N =
@ -242,7 +242,7 @@ $$
\end{tikzpicture} \end{tikzpicture}
$$ $$
Above, $A$ replaced every $f$ in its definition with an $N$. \par Above, $A$ replaced every $f$ in its definition with an $N$. \par
You can think of $A$ as a \say{factory} that constructs functions using the inputs we gave it. You can think of $A$ as a \say{factory} that constructs functions using the inputs we provide.
\problem{}<firstcardinal> \problem{}<firstcardinal>
Let $C = \lm f. (\lm g. \lm x. (g(f(x))))$. What does $B$ do? \par Let $C = \lm f. (\lm g. \lm x. (g(f(x))))$. What does $B$ do? \par