Phi

Phi (upper case Φ or

\Phi

; lower case φ, ,

\phi

arphi

) is the 21st letter of the Greek Alphabet . In modern Greek it is pronounced ''fee'', but a common Anglicized pronunciation is ''fie''. In modern Greek, it represents a Voiceless Labiodental Fricative . In Ancient Greek it represented [ , an Aspirated Voiceless Bilabial Plosive . In the system of Greek Numerals it has a value of 500.

The lower-case letter φ (or often its variant, ) is used as a symbol for:

Euler's Totient Function in number theory. Also called Euler's phi function, φ(n)

In Spherical Coordinates phi is usually used to represent the Angle to the z Axis .

The upper-case letter Φ is used as a symbol for;

In structural engineering, Φ is notation for a strength (or resistance) reduction factor, used to account for statistical variabilities in materials and construction methods.

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