if you can prove that for every \(i\), you can’t predict the

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Syntax

[ (Circle) -> [square] -> (Circle) | (Circle) ]

[ (circle) ]

[ <lt1>(self loop) -> <lt1> ]

EXPRESSION = EXPRESSION' ARROW NODE | EXPRESSION' ALTERNATION NODE | STRING
EXPRESSION' = EXPRESSION' ARROW NODE | EXPRESSION' ALTERNATION NODE | NODE

NODE = SQUARE | CIRCLE | ANCHOR
SQUARE = "[" EXPRESSION "] | ANCHOR "[" EXPRESSION "]
ANCHOR = "<" LABEL ">"

ALTERNATION = "|"
ARROW = SARROW | DARROW
SARROW = "->"
DARROW = "=>"

LABEL = r"[\w\d]+"
STRING = LABEL | "\"" ".*" "\""

Semantics

Young’s Modulus is a mechanical property that measures the stiffness of a solid material.

It measures the ratio between mechanical stress \(\sigma\) and the relative resulting strain \(\epsilon\).

And so, very simply:

\begin{equation} E = \frac{\sigma }{\epsilon } \end{equation}

Thinking about this, silly puddy deforms very easily given a little stress, so it would have low Young’s Modulus (\(\sigma \ll \epsilon\)); and visa versa. https://aapt.scitation.org/doi/10.1119/1.17116?cookieSet=1