I'm trying to describe a TM through denotation of the transition function. Given is a TM that recognizes the language
$$ L ={\{w\#w} \mid w \in {\{0,1}\}^*\} $$ over the input alphabet: $$ \displaystyle\sum = {\{}0,1,\#\} $$
My guess is first to place a word $$ w \in {\sum}^* $$
on the tape, and in every cell a symbol one after the other:
and the rest would be denoted with squares. Something like this $$ ...w|\#|w|\square... $$ the head would be on the first Symbol from $w$
So I guess now I know that
$$
\Gamma = \{w,\#,\square\}
$$
I could probably try to make a table using what I have now:
for $w$:
$q_0 = (q_0,w,\#,R)$ R would be the direction the head is going
$q_1 = (q_{yes},w,\#,N)$ N means the head doesn't move and $q_{yes}$ means that the TM accepts w
Im not sure if what I'm doing is correct. I would appreciate if someone could tell me if I'm on the right track.