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Δδ

DELTA

δέλτα · [d]

The 4th letter of the Greek alphabet.

MATHEMATICS

  • Change/difference: Δx.
  • Kronecker delta δᵢⱼ and Dirac delta δ(·).

PROBABILITY

  • Point mass can be written with δ(·) in measure theory.
  • Difference between events/values (Δ).

STATISTICS

  • Difference of means/effects: Δ.
  • Increments in numerical optimization.

PRONUNCIATION

Ancient Greek
sound [d]
Modern Greek
δέλτα [ˈðelta] · sound [ð]

IN FORMULAS

  • Δ = b² − 4acThe discriminant of a quadratic: it tells how many real roots there are.See it explained at morrisonkuhlsen.com →
  • Δy / ΔxChange in y over change in x: the slope between two points.

HOW TO WRITE IT — click to copy

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Note: notations vary between books/fields; these are the most common usages.

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