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# Nu (Ν, ν) Definition

Nu (Ν, ν) is the 13th letter of the Greek alphabet. In the system of Greek numerals it has a value of 50. It is derived from the ancient Phoenician language nun. Its Latin equivalent is N, though the lowercase resembles the Roman lowercase v (ν). The name of the letter is written νῦ in Ancient Greek and traditional Modern Greek polytonic orthography, while in Modern Greek it is written νι [ni]. Letters that arose from nu include Roman N and Cyrillic Н.

## Usage in Mathematics & Science

The uppercase Nu is not used, because it is normally identical to Latin N.

The lowercase Nu (ν) is used for:

• Mathematics:

• Degree of freedom in statistics.

• The greatest fixed point of a function, as commonly used in the μ-calculus.

• Free names of a process, as used in the π-calculus.

• One of the Greeks in mathematical finance, known as vega.

• Physics:

• Kinematic viscosity in fluid mechanics.

• The frequency of a wave in physics and other fields. Sometimes also spatial frequency or wavenumber.

• The specific volume in thermodynamics.

• Poisson's ratio, the ratio of strains perpendicular with and parallel with an applied force.

• Any of three kinds of neutrino in particle physics.

• The number of neutrons released per fission of an atom in nuclear physics.

• Molecular vibrational mode, νx where x is the number of the vibration (a label).

• The true anomaly, an angular parameter that defines the position of a body moving along an orbit (see orbital elements).

• Biology:

• A DNA polymerase found in higher eukaryotes and implicated in translesion synthesis.

• Chemistry:

• The stoichiometric coefficient.

• Psychology:

• The maximum conditioning possible for an unconditioned stimulus in the Rescorla-Wagner model.

## Greek Alphabet

The letters of the Ancient Greek Alphabet, which are frequently utilized in math and science:

 Greek Alphabet Symbol Letter Symbol Letter Uppercase Lowercase Uppercase Lowercase Α α Alpha Ν ν Nu Β β Beta Ξ ξ Xi Γ γ Gamma Ο ο Omicron Δ δ Delta Π π Pi Ε ε Epsilon Ρ ρ Rho Ζ ζ Zeta Σ σ Sigma Η η Eta Τ τ Tau Θ θ Theta Υ υ Upsilon Ι ι Iota Φ φ Phi Κ κ Kappa Χ χ Chi Λ λ Lambda Ψ ψ Psi Μ μ Mu Ω ω Omega

### Sources

“Nu (Letter).” Wikipedia, Wikimedia Foundation, 23 Apr. 2020, en.wikipedia.org/wiki/Nu_(letter).

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