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Σσς

SIGMA

σίγμα · [s]

The 18th letter of the Greek alphabet.

MATHEMATICS

  • Summation Σ (uppercase sigma).
  • Structures: σ-algebra (sigma).

PROBABILITY

  • Probability spaces: σ-algebra (F).
  • σ(X) = σ-algebra generated by X.

STATISTICS

  • Population standard deviation (σ).
  • Variance (σ²) in normal models.

PRONUNCIATION

Ancient Greek
sound [s]
Modern Greek
σίγμα [ˈsiɣma] · sound [s]

IN FORMULAS

  • Z = (X − μ) / σσ, the population standard deviation, is the unit of the z-score.See it explained at morrisonkuhlsen.com →
  • Σ xᵢ = x₁ + x₂ + … + xₙThe uppercase Σ is the summation operator.

HOW TO WRITE IT — click to copy

lowercase
variant
uppercase

DON'T CONFUSE IT

  • ∑ Σ Ε ∏ ∑ (U+2211, \sum) is the operator, larger and with more air; Σ (U+03A3) is the letter. Copied as text, they are different characters.

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

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