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Greek Letter Beta: History, Pronunciation, and Uses in Science and Finance

Overview of the Greek letter beta (Β, β): its origin, phonetic evolution and numeric value, descendants like Latin B/Cyrillic letters, and modern roles in science, mathematics, statistics and finance.

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Beta — written as the uppercase and lowercase letters Β β — is the second character of the Greek alphabet. In earlier stages of the language (see Ancient Greek) it represented a voiced bilabial stop [b]; in the form of modern Greek it denotes a voiced labiodental fricative [v]. In the traditional system of Greek numerals, beta has the numeric value 2.

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History and descendants

Over several centuries of phonetic change during the Hellenistic and Roman periods, the pronunciation associated with beta shifted from [b] toward [v]. The Greek letter was the ancestor of alphabetic signs in other scripts: it gave rise to the Latin letter B, and was an important source for letters in the Cyrillic writing system (in modern Cyrillic alphabets the related letters represent the sounds /v/ and /b/).

Use of the symbol "beta" in modern fields

  • In finance, "beta" commonly denotes a coefficient measuring an asset's sensitivity to movements in a market index (the market beta in capital asset pricing models).
  • In the physical sciences (science), the name appears in contexts such as beta decay and beta particles in nuclear physics.
  • In mathematics, the capital letter B is used to name the Beta function (also called the Euler beta function) among other uses.
  • In statistical notation, the lowercase beta symbol is widely used; for example, the probability of a type II error is commonly written as β in texts on statistics.

Usage

  • In the International Phonetic Alphabet, the small beta [β] denotes the voiced bilabial fricative.
  • In physics, beta radiation is a form of ionizing radiation (cf. radioactivity).
  • In relativity, β is the velocity in fractions of the speed of light (β=v/c).
  • In software development, a beta version is a preliminary version on which tests (also called beta testing) can be performed before it goes on sale.
  • In finance, the beta factor refers to the systematic risk of a security or portfolio.
  • In stochastics, a beta distribution is a continuous probability distribution.
  • In regression analytic procedures, betas denote standardized b weights.
  • The Beta Angle is used in space travel.
  • In chemistry, β is the formula symbol for mass concentration.
  • Beta is a pure object-oriented programming language from Scandinavia.

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