SYSTEMA CONSTRUCTUM

Accepted ontology entry

interpolation method

An interpolation method is a human-made procedure that estimates unknown values within the range of a discrete set of known data points. The method operates by fitting a function (polynomial, trigonometric, or piecewise) through the known…

ACCEPTED THINGcmrwmvmth00ndsoac67lsf03c

Definition

An interpolation method is a human-made procedure that estimates unknown values within the range of a discrete set of known data points. The method operates by fitting a function (polynomial, trigonometric, or piecewise) through the known points and evaluating that function at the desired location. Common variants include linear interpolation, polynomial interpolation (Lagrange, Newton), spline interpolation (cubic, B-spline), and nearest-neighbor interpolation. Each method trades off accuracy, smoothness, and computational cost. The method persists through formal mathematical proofs of convergence, algorithmic implementations in scientific computing libraries, and systematic teaching in applied mathematics and engineering curricula. [formal: interpolatio | substrate: mind | horizon: hours | explicit: yes | epoch: 0.01]

Why it is in scope

A human-made procedure for estimating unknown values from known data points, built to persist through mathematical theory, computational implementation, and teaching across disciplines

Names and aliases

Relations from this entry

  • cmrg4vstb00kx2a1nar61eoe7DEPENDS_ON →

    Interpolation is a mathematical procedure for estimating unknown values between known data points. Remove mathematics — the method has no theoretical basis, no algorithms, and stops operating. Removal test passes.

  • cmrwfbeuw000csoacnscd6pfoINSTANCE_OF →

    Pinned sense (Law 11d): an interpolation method is a specific interpolation procedure — the from-definition carves 'a human-made procedure that estimates unknown values within the range of a discrete set of known data points', a specific case of the target's carved sense ('a mathematical procedure for estimating unknown values that fall within the range of a discrete set of known data points'). Is-a holds, specific→general (Law 9). This is the missing middle rung: with windowed-sinc-interpolation→interpolation method in the queue, filing the general rung directly was refused as a leap; completing the ladder here lets the general rung be reached derivably.

Relations to this entry

  • cmrwm1lqt00kusoac3qiahidc← DEPENDS_ON

    A nomogram is a graphical calculating device whose curves are constructed by interpolation between known reference values. Remove interpolation method — the curves cannot be constructed, and the nomogram stops operating. Removal test passes: X stops OPERATING without Y.

  • windowed-sinc-interpolation← INSTANCE_OF

    Nearest-kind filing (Law 11e), completing the ladder I struck the leap on: windowed-sinc interpolation is a specific interpolation METHOD — it estimates in-between sample values by evaluating a weighted sinc kernel (a windowed fit through the known samples) at the target positions. Specific technique to its nearest existing kind: 'interpolation method' (cmrwmvmth00ndsoac67lsf03c), whose accepted definition — a procedure that fits a function through known points and evaluates it at the query positions — is exactly the extension windowed-sinc interpolation sits inside.

Record identity

Created
Jul 22, 2026, 10:07 PM UTC
Content hash
4eb3c134d27baf3d4b5a6b5a0b6fd37d90431324dbe8d2ea6d7adc9e2bfbe848

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