The preceding example (
Example 5) was a relatively
prolonged
prolonged (adj.): prO-longd
long in duration; drawn out; tediously extended or protracted
|
problem — but there is still one additional aspect to it that deserves further attention before leaving our 2-dimensional world for a while. The last computation by which the unit
conversion was accomplished with our
SOP
SOP (abbr.):
Standard Operating Procedure
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does not reveal the ever-slightly more complex detail required for many higher-dimensional unit conversions. We may close our discussion after tackling an extension to the previous
example by asking ourselves, "what will be the equivalent answer in
square kilometers?"
Noticing the
Area is equal to
235,000 m² is the most convenient place to begin.
We just need to get from
meters to
kilometers, or more precisely, convert from
m² to
km². It probably appears quite reasonable to
conjure
conjure (v.): kahn-juhr
bring into existence or summon into action, often by mysterious means
|
up the conversion fraction...
...however this quantity is insufficient to achieve our intended goal as the unit we need to cancel out is the unit of
square meters (
m²) and not just merely
the unit of
meters (
m). The first is a
2-dimensional unit — a measure of
Area; while the latter is 1-dimensional — a measure of length or distance. To see this, let's
examine a
naively
naively (adv.): nI-Eve-lE
Marked by or showing unaffected simplicity; characterized by a lack of guile or worldly experience
|
proposed conversion which looks like something
akin
akin (adj.): uh-ken
similar in quality or character; related
|
to the following one: