Used: IBM/OS360

contiguous allocation puts the files and metadata together, and implements a Explicit Free List Allocator across the file.

benefits

• simple

problems

• external fragmentation: little pockets of data is everywhere
• editing: hard to grow files

Consider:

we can consider this as two parts

• the computation of x = e1
• and the continuation e2

it essentially create statement labels:

such that:

• \(k_0 = \lambda w . k_1 e\)
• \(k_1 = \lambda x . k_2 e’\)
• \(k_2 = \lambda y . k_3 (x+y)\)
• \(k_3 = \lambda z . z\)

why

• we can make the order of evaluatinos explicit
• we give a name to each intermediate value
• we name every step of the computation

it is important in language implementation (where ever intermediate result is named); but we can also make continuation available as program value.

Because we want to including rounding during continuity correction to account for things discretized to certain values.

basically “less than

This is a continuous distribution for which the probability can be quantified as:

\begin{equation} p(x) \dd{x} \end{equation}

You will note that, at any given exact point, the probability is \(\lim_{\dd{x} \to 0} p(x)\dd{x} = 0\). However, to get the actual probability, we take an integral over some range:

\begin{equation} \int_{-\infty}^{\infty} p(x) \dd{x} = 1 \end{equation}

See also cumulative distribution function which represents the chance of something happening up to a threshold.