# Greek Alphabet Symbols & Characters: mathematical uses

## The Greek alphabet is widely used in mathematical and scientific equations with letters or symbols like psi, rho, eta, mu, omega and many more being widely used.

Letter & Symbols Includes:
Greek alphabet     Mathematical symbols     Mathematical constants     Typographical symbols

The Greek alphabet is widely used to demote various constants and values within the scientific and technology arenas. Letters including omega, eta, rho, mu and many more are used to denote a whole range of mathematical, scientific and engineering measures. Everything from resistivity, through to impedance, permeance and ratios of circles and much more.

The Greek alphabet only has 24 letters compared to the Latin based script that uses 26. However the Greek alphabet does have both capital and small versions, and virtually all of the letters are widely used for a variety of different measures.

For example the Omega symbol Ω is used for resistance, e..g. a resistor has a value of 10Ω and another example is the rho symbol, ρ which is used for resistivity. There are very many more examples of Greek letters being used for denoting electrical and electronic units.

The different Greek letters have different meanings or they are used to denote different measures as outlined in the list below.

Greek Alphabet Characters and Symbols List

Greek letter Greek symbol Used to denote
Capital Small
Alpha Α α Angles, coefficients, attenuation constant, absorption factor, area
Beta Β β Angles, coefficients, phase constant
Gamma Γ γ Complex propagation constant (cap), specific gravity, angles, electrical conductivity, propagation constant
Delta Δ δ Incrment or decrement, determinant (cap), permittivity (cap), density, angles
Epsilon Ε ε Dielectric constant, permittivity, electric intensity
Zeta Ζ ζ Coordinates, coefficients
Eta Η η Intrinsic impedance, efficiency, surface charge density, hysteresis, coordinates
Theta Θ θ Angular phase displacement, angles, time constant, reluctance
Iota Ι ι Unit vector
Kappa Κ κ Susceptibility, coupling coefficient, thermal conductivity
Lambda Λ λ Permeance (cap), wavelength, attenuation constant
Mu Μ μ Permeability, amplification factor (in valves/ vacuum tubes), prefix for the micro multiplier.
Nu Ν ν Reluctivity, frequency
Xi Ξ ξ Coordinates
Omicron Ο ο
Pi Π π Universally used for 3.1416 . . . .
Rho Ρ ρ Resistivity, volume charge density, coordinates
Sigma Σ σ Summation (cap), surface charge density, complex propagation constant, electrical conductivity, leakage coefficient, deviation
Tau Τ τ Time constant, volume resistivity, time-phase displacement, transmission factor, density
Upsilon Υ υ
Phi Φ φ Scalar potential (cap), magnetic flux, angles
Chi Χ χ Electric susceptibility, angles
Psi Ψ ψ Dielectric flux, phase difference, coordinates, angles
Omega Ω ω Electrical resistance (cap), solid angle, angular velocity

Note: The small Greek letter in the alphabet is used except where the notation (cap) is used where the capital version of the Greek letter is used.

## How was the Greek alphabet formed

As everyone knows the Greek alphabet with its characters and symbols dates back many thousands of years.

Although the Greek alphabet was widely used within the Greece and its empire, the alphabet and the associated symbols took on influences from much earlier civilisations as well as resulting from influences arising from the trade that took place within the Mediterranean and beyond..

One of the major influences for the Greek alphabet were the Phoenicians. Around 750 BC the Greeks started to adopt the language system from the Phoenicians although there were influences from the Minoans and Mycenaeans that were the other main groups with whom the ancient Greeks had contact.

Essentially the Greek alphabet became the successor to the Phoenician one, and ultimately became the Greek alphabet with its symbols that we use today.

## Why are Greek letters used in mathematical & scientific equations

There are several reasons why there are many Greek letters that have been adopted into common use for constants in equations.

First, of course, it is necessary to realise that many of our standard letters are widely used, especially for variables: x, y, z are some common examples, but others are used as well.

Many letters from the Greek alphabet are used as constants within equations and formulas. Π, Θ , as well as α, β, θ and the like are widely used and seen seen representing the values or constants for a variety of values.

The roots of the usage of Greek letters comes from the earliest philosophers like Aristotle, and Diophantus and others. They used letters from the Greek alphabet as symbols to represent various variables. Although later civilisations used their own letters, the use of Greek letters tended to be used down the ages - people tended to use what was already established.

Today there are advantages to using Greek alphabet symbols. They are more distinctive than the normal alphabet in everyday use and they are less likely to be confused with the language text within mathematical work being written.

It is really a matter of convenience as well as the reduction of confusion that has lead to the continued use of Greek alphabet symbols being used to represent constants and sometimes variables in equations.

## Widely used Greek letters & symbols

There are many Greek letters and symbols that are widely used in electrical and electronic technology. Everything from dielectric constant (epsilon symbol) to resistivity (rho symbol), and many more.

More detail about these applications for these symbols is given below:

• Omega symbol Ω:   The Omega symbol, Ω is widely used for the unit of resistance. Ohms are the unit of resistance and this is governed by Ohms law.

### Note on Resistance:

Resistance is one of the key factors used in electricla and electronic circuits. Resistance is the proprty of materials to resist the flow of electricity, and it is governed by Ohm's Law.

• Rho symbol ρ:   The rho symbol, ρ is widely used for the unit or resistivity. The rho symbol is used to denote the resistivity of a material and the SUI unit for resistivity is ohm metres.

### Note on Electrical Resistivity ρ:

The resistivity of a material is its ability to resist the flow of electrical current. The higher the resistivity, the higher the resistance will be for a given sample of the material of a particular size. The resistivity is denoted by the Greek symbol rho, ρ.