Phi (letter)
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- For the robot E-121 Phi, see Emerl.
Image:Greek Letter Phi.svg Phi (upper case Φ or <math>\Phi</math>; lower case φ, φ, <math>\phi</math> or <math>\varphi</math>), pronounced "fee" in Greek and sometimes as "fai" (as in "defy") in English, is the 21st letter of the Greek alphabet. In modern Greek, it represents [f], a voiceless labiodental fricative. In Ancient Greek it represented [pʰ], an aspirated voiceless bilabial plosive. In the system of Greek numerals it has a value of 500 (φʹ) or 500,000 (͵φ).
The lower-case letter φ (or often its variant, <math>\varphi</math>) is used as a symbol for:
- The golden ratio 1.618... in mathematics, art, and architecture.
- Euler's totient function φ(n) in number theory; also called Euler's phi function.
- An angle, typically the second angle mentioned, after θ (theta). Especially:
- The argument of a complex number.
- The phase of a wave in signal processing.
- In spherical coordinates phi is usually used to represent the angle to the z axis (mathematics convention) or the angle to the x axis (physics convention).
- One of the dihedral angles in the backbones of proteins.
- Any function in mathematics.
- Electric potential in physics.
- The work function in electronics.
- A shorthand representation for an aromatic functional group in organic chemistry
- The ratio of free energy destabilizations of protein mutants in phi value analysis
- A sentence in first-order logic.
The upper-case letter Φ is used as a symbol for;
- The magnetic flux and electric flux in physics, with subscripts distinguishing the two.
- The Cumulative Normal Distribution function in statistics.
- Philosophy.
- The diameter symbol in engineering
is often referred to as "phi". This symbol is used to indicate the diameter of a circular section, for example
14 means the diameter of the circle is 14 units.
- Strength (or resistance) reduction factor in structural engineering, used to account for statistical variabilities in materials and construction methods.
- The number of phases in a power system in electrical engineering, for example 1Φ for single phase, 3Φ for three phase.
See also phi phenomenon.
arc:Φ br:Phi (lizherenn) bg:Фи ca:Fi da:Phi de:Phi el:Φι es:Φ eu:Phi fr:Phi gd:Phi gl:Fi ko:Φ it:Phi (lettera) he:פי hu:Fi nl:Phi (letter) ja:Φ no:Phi nn:Phi nds:Phi pl:Fi pt:Φ ru:Фи (буква) fi:Fii sv:Fi zh:Φ


