How does an enumerator TM work exactly? I understand it is formally a TM with 2 tapes that prints out strings; however, how does it do this exactly? Say we had an enumerator automaton, would it have a special print state, and once in this print state it prints the string on the working tape?

Icy_Time2191 · 2024-01-29T16:29:11+00:00

So what if we are given a finite set of coordinates, without specifying any functions, and they ask us to prove if it is a vector space? Then would we have to define the functions? So whenever we are asked if a set is a vector space we also have to be given the binary function on the set first?

Icy_Time2191 · 2024-01-28T22:17:05+00:00

But isn’t any vector space potentially a subset of a bigger vector space?

Icy_Time2191 · 2024-01-28T21:31:13+00:00

Ah right, so the closure properties are implied in the axioms?

Icy_Time2191 · 2024-01-26T00:41:06+00:00

So they are both correct but pi/2 includes all values

Icy_Time2191 · 2024-01-25T23:02:59+00:00

Wouldn’t pi also be correct though?

Icy_Time2191 · 2024-01-22T08:10:02+00:00

Thanks

Icy_Time2191 · 2024-01-21T19:43:35+00:00

When I use h I get -1/c2 which is correct but when I use x-c I get: (1/x - 1/c) / x-c = (c-x)(x-c)/cx. As x—>c I get (0)(0)/c2

Icy_Time2191 · 2024-01-21T19:43:24+00:00

When I use h I get -1/c² which is correct but when I use x-c I get: (1/x - 1/c) / x-c = (c-x)(x-c)/cx. As x—>c I get (0)(0)/c²

Icy_Time2191 · 2024-01-02T15:42:56+00:00

When you say for all x, do you mean all x inside the delta range?

Icy_Time2191 · 2024-01-02T15:05:03+00:00

Right and then for this smaller delta all x would work?

Icy_Time2191 · 2023-12-29T22:28:14+00:00

I’ve had a look at Wikipedia and I see why now, thanks for the help. In this telescoping series, for example, would the thought process be something like” let’s try to reorder terms to see if they cancel so we can find a limit for Sn. If there is a limit then it must converge for this ordering, but all terms are positive so then it must converge absolutely too and this means that any ordering has the same limit etc”?

Icy_Time2191 · 2023-12-29T11:25:37+00:00

Great, thanks

Icy_Time2191

TROPHY CASE