Newton interpolation

Also called Newton divided-difference interpolation, Newton form of the interpolating polynomial, Newton's divided-difference formula.

Builds the interpolating polynomial incrementally using divided differences; cheap to extend with new nodes.

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The build computes these levels from the evidence in the repository. Each row says what the next level needs. Read what the levels mean.

Ladder	Level	What the next level needs
Human proof	H0 no proof	add a proof in proofs/ (06.5)
Lean	L0 no Lean part	name a Lean module in the lean field (07)
Visual	V0 none	add viz/scene.ts or a figure (10)
Writing	W0 stub	the section The problem pseudocode in The algorithm complexity claims in the front matter one source with a locator