Pr. Shadoko lectures

STRAINERS (Passoires)
escaliers
Another shadok device:
the unicursive stairs

  A strainer is any implement for which we can define the three following sub-sets: the interior, the exterior, and the holes.
  The interior is generally located above the exterior and is usually made of noodles and water.
  Holes are unimportant. Indeed, a straightforward experimentation shows that reducing by half the number of holes does not have a sensible effect on the behaviour of the implement; and nor does it have reducing this number by half once more, and so forth until no hole remains.
  Thus the Theorem follows: the notion of a strainer is independent of the one of a hole, and conversely.
  We call First Order Strainer a strainer which neither drains out noodles nor water.
  We call Second Order Strainer a strainer which drains out both water and noodles.
  We call Third Order Strainer, or complex strainer, a strainer which sometimes does drain either, and sometimes does not.
  In order for a complex strainer to drain water out and not the noodles, it is necessary and sufficient that the holes diameter be sensibly smaller than the one of the noodles.
  In order for a complex strainer to drain noodles out and not water, it is necessary and sufficient that the holes diameter be sensibly smaller than the one of water.

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