8
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Please explain the following math.
To start, here are some basic relationships - creative thinking may help (or not)

1) p < c < h < n1 <= n2

The pipe symbol is used as shorthand for ROTATE NEXT VALUE 90 DEGREES or 2 pipes to rotate the variable's value by 180 degrees, etc (although no more than 2 pipes are needed)

2) a = ||c
3) n1 = ||n2

A number can be multiplied by a variable's "value" to adjust the variable's value– but addition or subtraction like a-2 is not permitted

4) 2a = u; u = 2a
5) d = 2h

Division is permitted in certain cases; these are similar to fractions. In fact, they must be written as such! Pipe-rotation is permitted in either the numerator or denominator.

6) s = p / c
7) e = |h / p

This is not traditional math. So this simple line may be a good place to start. The following reduces to o rather than 1:

8) p/p = o

Some variables come in pairs [b1 b2] but not ranges like b1 - bn or other one-to-many relationships

9) b1, b2 = h/|h/h

Here are a few final examples… please explain all 12.
No complicated math or knowledge is required and there are additional hidden clues throughout to ensure this is solvable without a computer (but there is no {no-computers} tag in case you feel it is helpful?)
Additional note - basic knowledge of English is useful.

10) l = 3p
11) n1 <> r1 = ||r2
12) q = n2/|h/p

Hint:

< > signs represent size comparisons.
Equal signs represent approximate equality, 2 being the most suspect; a=c might also be a good approximation. Fortunately the path to solve involves more than the numbered equations.

Hint 2:

Hmmm, each blockquote is preceded by a block of rambling text. Suspicious.

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2
  • $\begingroup$ Which of the twelve relationships would you suggest to be the best inroad into this puzzle? $\endgroup$ Nov 29 at 11:16
  • 1
    $\begingroup$ @sarsaparilla It may help to treat this as enigmatic; there is more going on than meets the eye. The title and area around "a good place to start" is a good place to start. $\endgroup$
    – Amoz
    Nov 29 at 15:00

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