Generator
derange
A generator in the probability library, called 6 times across 1 essays. Below: what it draws at its defaults and at each mode an essay asks for, what it checks while drawing, and everywhere it is used.
derange is one function. Everything below came out of it during this
build, at parameters taken from the essays rather than invented for this page — so a figure
here is the same figure a reader meets in an essay, and if the generator changes, this page
changes with it.
At its defaults
show: "grid"
show: "one"
show: "sieve"
show: "ratio"
What it checks while it draws
Collected by running the family and recording what it asserted, not written here. The count is how many separate times the claim was put to the test while these drawings were made.
- the alternating sum lands on the 9 the search found ×2
- 9 of them leave nothing where it started ×1
- all 24 arrangements are drawn ×1
- and sends no two objects to the same place ×1
- each correction crosses the answer rather than approaching it from one side ×1
- each proportion is within one over the next factorial of 1/e ×1
- the alternating sum reaches the same number ×1
- the arrangement is a permutation of its own places ×1
- the arrangement names every object exactly once ×1
- the grid of every arrangement is drawn for at most 5 objects ×1
- the number of objects is between 2 and 6 ×1
- the ratio is drawn up to between 2 and 10 objects ×1
- the view is one the family draws ×1
- with one object there is nothing to find, and the search finds nothing ×1
Where it is called
Changing this generator changes every figure on this list. That is what makes the list worth publishing rather than keeping in a check script.