Skip to content

Add to your Home Screen

  1. Tap the Share button in Safari's toolbar.
  2. Scroll down and tap Add to Home Screen.
  3. Tap Add. The generator opens full-screen and works offline.

Greek Letters in Math and Science

Greek letters in math and science are conventional symbols: π is the circle constant, Δ a change, σ a standard deviation, λ a wavelength and Ω the SI ohm. Only a few meanings are fixed by standards, so they vary by field and author. Look up a letter below; each one lists its meanings grouped by field.

Alpha

Mathematics and computing
  • An angle (with β, γ)
Physics
  • Fine-structure constant α ≈ 1/137
  • Alpha particle and alpha decay
  • Angular acceleration
Statistics
  • Significance level in hypothesis tests
  • Cronbach's alpha (reliability)
Engineering
  • Linear thermal expansion coefficient
  • Absorption coefficient
Chemistry
  • Alpha carbon (next to a functional group)
  • α-helix in protein structure
Finance and economics
  • Excess return of an investment against a benchmark (Jensen's alpha)

Beta

Mathematics and computing
  • An angle (with α, γ)
Physics
  • Speed as a fraction of light speed, v/c
  • Beta decay and beta particles
Statistics
  • Regression coefficient
  • Probability of a type II error (power is 1 − β)
Engineering
  • Current gain of a bipolar transistor
Chemistry
  • β-sheet in protein structure
  • Beta particle
Finance and economics
  • Sensitivity of an asset to market moves

Gamma

Mathematics and computing
  • Γ(n) gamma function, with Γ(n) = (n − 1)! for whole n
  • γ is the Euler–Mascheroni constant ≈ 0.5772
Physics
  • Gamma rays
  • Lorentz factor γ
  • Heat-capacity ratio γ
Statistics
  • Skewness (γ₁ in some texts)
  • Gamma distribution
Engineering
  • Shear strain γ
  • Specific weight γ
Chemistry
  • Surface tension γ
  • Activity coefficient γ
Finance and economics
  • Option "gamma": rate of change of delta

Delta

Mathematics and computing
  • Δ: a finite change or difference, as in Δx
  • Δ: the Laplacian operator in some texts (often written ∇²)
  • δ: Dirac delta; Kronecker delta δᵢⱼ
  • δ: a small positive number in epsilon-delta proofs
Physics
  • Δ: change in a quantity (ΔE, Δt)
Statistics
  • Δ: effect size or difference in means in some texts
Engineering
  • δ: deflection of a beam
Chemistry
  • δ: chemical shift in NMR
  • δ+ and δ−: partial charges
  • Δ above a reaction arrow: heat
Finance and economics
  • Option "delta": sensitivity of price to the underlying

Epsilon

Mathematics and computing
  • ε: an arbitrarily small positive number
Physics
  • Permittivity ε (ε₀ for vacuum)
  • Emissivity ε
Statistics
  • Error term in a regression model
Engineering
  • Normal strain ε
  • Machine epsilon in numerical computing
Chemistry
  • Molar absorption coefficient ε

Zeta

Mathematics and computing
  • Riemann zeta function ζ(s)
Engineering
  • Damping ratio ζ in control and vibration
Chemistry
  • Zeta potential of colloids

Eta

Mathematics and computing
  • η: a generic parameter, or a Minkowski metric in relativity texts
Physics
  • Dynamic viscosity (η in ISO 80000; μ is also common)
Statistics
  • Eta squared: an effect-size measure
Engineering
  • Efficiency η

Theta

Mathematics and computing
  • An angle, most often in polar coordinates
  • Θ(n): asymptotic tight-bound notation in computer science
Physics
  • Angle of incidence or rotation
  • Temperature in some thermodynamics texts
Statistics
  • A generic parameter to be estimated (θ̂ is its estimate)
Engineering
  • Phase or rotation angle

Iota

Mathematics and computing
  • No widespread convention; occasionally an inclusion map or an index

Kappa

Mathematics and computing
  • Curvature κ
Physics
  • Thermal conductivity (κ in some fields; ISO 80000-5 uses λ)
  • Dielectric constant κ in some fields
Statistics
  • Cohen's kappa (agreement between raters)

Lambda

Mathematics and computing
  • Eigenvalue λ
  • Lagrange multiplier λ
  • λ-calculus (computer science)
Physics
  • Wavelength λ
  • Radioactive decay constant λ
  • Thermal conductivity λ in ISO 80000-5
Statistics
  • Rate of a Poisson distribution
  • Rate parameter of an exponential distribution
Chemistry
  • Wavelength in spectroscopy

Mu

Mathematics and computing
  • Möbius function μ(n)
  • A measure μ
Physics
  • Prefix "micro" (10⁻⁶), see the micro-sign warning on the Unicode page
  • Coefficient of friction
  • Magnetic permeability μ
  • Reduced mass
Statistics
  • Population mean μ
Engineering
  • Dynamic viscosity μ
Chemistry
  • Chemical potential μ
  • Dipole moment μ

Nu

Physics
  • Frequency ν
  • Kinematic viscosity ν
  • Neutrino ν
Statistics
  • Degrees of freedom ν
Engineering
  • Poisson's ratio ν
Chemistry
  • Stoichiometric coefficient ν
  • Wavenumber ν̃

Xi

Mathematics and computing
  • ξ: a generic variable or random variable
Physics
  • Ξ baryons in particle physics
Chemistry
  • Extent of reaction ξ (IUPAC)

Omicron

Mathematics and computing
  • No standard use. Big-O and little-o notation use the Latin letters O and o

Pi

Mathematics and computing
  • π ≈ 3.14159, the ratio of a circle's circumference to its diameter
  • Π: product of a sequence (like Σ for sums)
  • π(x): prime-counting function
Physics
  • Pion π
Chemistry
  • π bond and π orbital
  • Osmotic pressure Π
Finance and economics
  • Profit π or inflation rate π in economics texts

Rho

Mathematics and computing
  • Radial distance ρ in polar, cylindrical and spherical coordinates
Physics
  • Density ρ (mass or charge)
  • Resistivity ρ
Statistics
  • Population correlation coefficient ρ
  • Spearman rank correlation ρ
Engineering
  • Reflection coefficient ρ

Sigma

Mathematics and computing
  • Σ: sum of a sequence
  • σ(n): sum of divisors in number theory
Physics
  • Stefan–Boltzmann constant σ
  • Cross-section σ
  • Electrical conductivity σ
  • Surface charge density σ
Statistics
  • Population standard deviation σ (σ² is variance)
Engineering
  • Normal stress σ
  • Electrical conductivity σ
Chemistry
  • σ bond and σ orbital
Finance and economics
  • Volatility σ

Tau

Mathematics and computing
  • τ = 2π in some texts
  • Kendall rank correlation τ
Physics
  • Time constant τ
  • Proper time τ
  • Torque τ
  • Mean lifetime τ
  • Tau lepton τ
Engineering
  • Shear stress τ
  • Time constant τ of an RC or RL circuit

Upsilon

Mathematics and computing
  • Rare as a variable; no common convention
Physics
  • Υ (upsilon) meson in particle physics

Phi

Mathematics and computing
  • Golden ratio φ ≈ 1.618 (ϕ is also used)
  • Euler's totient φ(n)
  • Φ: standard normal cumulative distribution function in statistics
Physics
  • Magnetic flux Φ
  • Electric potential φ
  • Azimuth angle φ
  • Work function φ
Statistics
  • Φ(z): standard normal cumulative distribution
  • φ(z): standard normal density
Engineering
  • Phase angle φ
Chemistry
  • Volume fraction φ

Chi

Mathematics and computing
  • Euler characteristic χ
  • Characteristic function χ
Physics
  • Magnetic susceptibility χ
Statistics
  • Chi-squared (χ²) distribution and test
Chemistry
  • Electronegativity χ (Pauling scale)
  • Mole fraction (x or χ)

Psi

Mathematics and computing
  • Digamma function ψ(x)
Physics
  • Wave function ψ in quantum mechanics
  • Stream function ψ in fluid mechanics
Engineering
  • Stream function ψ

Omega

Mathematics and computing
  • Ω: sample space in probability
  • Ω(n): asymptotic lower-bound notation
  • ω: a primitive root of unity (often a cube root)
Physics
  • ω: angular frequency or angular velocity
  • Ω: solid angle (unit: steradian)
Statistics
  • ω²: effect-size measure (omega squared)
Engineering
  • Ω: the symbol for the ohm, the SI unit of resistance
  • ω: angular frequency

By Maya Chen, lettering designer and type educator · Checked by Jordan Hale · · How we review content

Key facts

  • Ω is the SI symbol for the ohm and μ is the SI prefix symbol for micro (one millionth), both fixed by the SI Brochure.
  • The ISO 80000 series lists λ for wavelength, ω for angular frequency and ρ for density as preferred quantity symbols, while allowing alternatives.
  • Most Greek-letter meanings are conventions: sigma is a standard deviation in statistics, stress in engineering and conductivity in physics.
  • Iota, omicron and upsilon are rarely used as variables; omicron looks like Latin o and is avoided for that reason.
  • The summation sign ∑ (U+2211) and product sign ∏ (U+220F) are separate characters from the letters Σ (U+03A3) and Π (U+03A0).

What do Greek letters in math and science mean?

Every Greek letter below lists the meanings you are most likely to meet, grouped by field. They are conventions: a physics paper may reuse σ for something that is not on this list, and a textbook may swap α and β. Treat the entries as a map of what to expect, not as a rulebook.

Which meanings are fixed by a standard?

Where a standard fixes a symbol, the note says so. These are the Greek-letter symbols that are standardised in a firm way:

  • Ω is the SI symbol for the ohm, the unit of electrical resistance (SI Brochure).
  • μ is the SI prefix symbol for micro, one millionth (SI Brochure). The brochure also lists the other prefixes, which are Latin letters.
  • Quantity symbols such as λ for wavelength, ω for angular frequency or ρ for density are the preferred symbols in the ISO 80000 series, with the clarification that a quantity may have alternative symbols.

Which meanings are only convention?

Everything else here follows common textbook practice. If you are writing for a journal, course or company, follow its style guide over this page.

Which Greek letters are rarely used as symbols?

Iota, omicron and upsilon are rarely used as variables. Omicron looks like Latin o and is avoided for that reason, and the big-O and little-o notation of computer science uses the Latin letter. Upsilon appears in particle physics, for example in the upsilon meson. Do not expect them in everyday formulas.

Which Greek characters should I copy with care?

Several maths symbols have a Greek twin that is a different character. The summation sign ∑ (N-ARY SUMMATION, U+2211) is not the letter Σ (U+03A3), and the product sign ∏ (U+220F) is not Π (U+03A0). If a document needs to be searchable, or if the text will pass through software that cares, use the right one. The Unicode page has the full list.

Where can I copy or type these letters?

The copy and paste Greek alphabet page has the plain letters. For ways to type them, see how to type Greek letters. Maths signs and units with copy buttons are at math symbols and science symbols. Sigma, delta, pi, omega and mu have their own pages that go deeper on uses, codes and lookalikes: sigma, delta, pi, omega and mu.

How do I write these letters in LaTeX?

Each letter has a LaTeX command in math mode, and a few capitals have none. The full command list, variant forms such as \varepsilon, bold and upright Greek are on LaTeX Greek letters.

Sources

The standardised items above come from the SI Brochure and the ISO 80000 series. The by-field entries for Greek letters in math and science are conventions assembled from standard textbook usage and cross-checked against the secondary overview listed below. We have not verified each entry against a primary standard, and conventions differ by country, field and publisher.

Frequently asked questions

Basics

Why do scientists use Greek letters in math and science?
There are only 26 Latin letters, and every field needs many more symbols than that. Greek letters add 24 more, and a long tradition makes them familiar: π for the circle constant, Δ for change, λ for wavelength. Using them also helps separate a symbol such as the density ρ from a Latin variable such as p for pressure.
Is the meaning of Greek letters in math fixed?
No. Most are conventions, and the same letter means different things in different fields. Sigma is a standard deviation in statistics, stress in engineering and conductivity in physics. A few meanings are fixed by standards, like Ω for the ohm in the SI, but authors usually define their symbols in the text, so check the definition.
Why does pi have so many uses?
Lowercase π is best known as the ratio of a circle's circumference to its diameter, about 3.14159. The same letter is also used for the prime-counting function in number theory and for pi bonds in chemistry, while capital Π is a product symbol and, in economics, sometimes profit. Context decides which meaning is intended.
Which Greek letters have meanings fixed by the SI?
Two on this page: Ω is the SI symbol for the ohm, the unit of electrical resistance, and μ is the SI prefix symbol for micro, one millionth. The SI Brochure also lists the other prefixes, but those use Latin letters. Every other Greek-letter meaning here is a convention that depends on the field.
Which Greek letters are rarely used as variables?
Iota, omicron and upsilon. Omicron looks like Latin o, so it is avoided, and big-O notation in computer science uses the Latin letter. Upsilon appears in particle physics, for example in the upsilon meson. Do not expect any of the three in everyday formulas, so a symbol search rarely needs them.

Where it works

What is the difference between Δ and ∆?
Δ (U+0394) is the Greek capital delta, a letter. ∆ (U+2206) is the INCREMENT sign, a mathematical symbol that looks almost identical. In most documents they are interchangeable to the eye, but they are different characters, so search and copy may treat them differently. Our Unicode page lists this and other lookalike pairs.
Which Greek letter is used for the micro prefix?
Mu. The SI prefix micro (10⁻⁶) is written with the Greek letter μ, as in μm for micrometre. On many keyboards the character typed for it is µ, the MICRO SIGN (U+00B5), which is a separate code point from Greek mu (U+03BC). Both look the same, and Unicode treats the micro sign as a compatibility form of mu.
Is there a standard for Greek letters in math and science?
Partly. The ISO 80000 series defines quantity symbols for many fields, and the SI Brochure fixes unit symbols such as Ω. The IUPAC Green Book does the same for physical chemistry. For statistics, finance and most of mathematics, practice follows textbooks rather than a single standard, so the entries on this page are labelled as conventions.

How it works

Are λ, ω and ρ official symbols?
They are the preferred quantity symbols in the ISO 80000 series: λ for wavelength, ω for angular frequency and ρ for density. The series adds that a quantity may have alternative symbols, so a paper that uses another letter is not wrong. Define the symbol in your own text and follow your journal or course style guide.
Where can I check the official meaning of a symbol?
Start with the SI Brochure from the BIPM for units and prefixes, the ISO 80000 series for quantity symbols and the IUPAC Green Book for physical chemistry. NIST Special Publication 811 is a practical guide to SI use. All four are linked in the sources below, and none covers every field.

Tips & limits

Is the summation sign ∑ the same as Σ?
No. The summation sign ∑ is N-ARY SUMMATION (U+2211), a mathematical operator, while Σ is Greek capital sigma (U+03A3), a letter. The product sign ∏ (U+220F) and Π (U+03A0) are another such pair. For searchable or software-processed text use the right one: the sign for the operator, the letter for text.
Which should I follow, this page or my style guide?
Your style guide. The by-field entries here follow common textbook practice and are not a rulebook, and conventions differ by country, field and publisher. If you write for a journal, course or company, use its notation and define each symbol the first time it appears so readers are not left guessing.