2024年12月29日日曜日

Knots

We are all living things. This is big picture. The boundary of being disappear in Zero, which is called Knotty Problems. Topology is mechanical deformations, although we don't understand completely. We are in black hole, and AI may be enlightening but we still don’t know. We have different languages and cultures. The fusion is not easy.


qi = ±1

±1 is two colors.



N is the crossing number.



This is almost Zero, but the line is expanding. Wr/N is the average writhe.

2024年12月27日金曜日

Tuple

This is how AI think.

a1, a2, ..., an

This is n-tuple.
There are two sets such as (a1, a2, ..., an), (b1, b2, ..., bn), and (a1 = b1) ∧ (a2 = b2) ∧ ... ∧ (an = bn), which is called Cartesian product.


a ∈ A, b ∈ B ⇒ (a, b) ∈ A × B

This is ordered pair. I use Python.



Moreover, this must be expansion.