thermoregulation is the brain’s regulation of body temperature to respond to heat, cold events.

Studies indicate that cold exposure cold exposure can activate AgRP (stimulate food intake) as a means for the brain leveraging CNS regulation to which would lower the glucose level and maintain glucose homeostatis.

However, cold exposure also trigger energy expenditure, and seems contradictory but not really why?.

The theta/alpha ratio is the ratio between two oscillations measurable by an EEG that is shown to be a possible indicator for AD development.

Because this chapter is not about linear algebra, your instructor may go through it rapidly. You may not be asked to scrutinize all the proofs. Make sure, however, that you at least read and understand the statements of all the results in this chapter—they will be used in later chapters.

So we are not going to go through everything very very carefully. Instead, I’m just going to go through some interesting results at my own leisure. This also means that this note is not very complete.

A

Time complexity \(t(n): \mathbb{N} \to \mathbb{N}\), and:

\begin{equation} \text{TIME}\qty(t(n)) = \qty {\text{languages } L \mid\ \exists \text{TM that decides $L$ in $O(t(n))$ steps} } \end{equation}

notice! the Big-oh is backed into the definition. And we write:

\begin{equation} P = \bigcup_{c \in \mathbb{N}} \text{TIME}\qty(n^{c}) \end{equation}

we call this “efficient” vs. “feasible”.

\begin{equation} EXP = \bigcup_{c \in \mathbb{N}} \text{TIME}\qty(2^{n^{c}}) \end{equation}

and adding in non-determinism, we have:

\begin{equation} \text{NTIME}\qty(t(n)) = \qty {L : \exists\ \text{NTM that decides L in O(t(n)) steps}} \end{equation}