Greek letters are used inmathematics,science,engineering, and other areas where mathematical notation is used as symbols forconstants,special functions, and also conventionally forvariables representing certain quantities. In these contexts, the capital letters and the small letters represent distinct and unrelated entities. Those Greek letters which have the same form asLatin letters are rarely used: capital Α, Β, Ε, Ζ, Η, Ι, Κ, Μ, Ν, Ο, Ρ, Τ, Υ, and Χ. Small ι, ο and υ are also rarely used, since they closely resemble the Latin letters i, o and u. Sometimes, font variants of Greek letters are used as distinct symbols in mathematics, in particular for ε/ϵ and π/ϖ. The archaic letterdigamma (Ϝ/ϝ/ϛ) is sometimes used.
TheBayer designation naming scheme forstars typically uses the first Greek letter, α, for the brightest star in each constellation, and runs through the alphabet before switching to Latin letters.
Inmathematical finance,the Greeks are the variables denoted by Greek letters used to describe the risk of certain investments.
The Greek letter forms used in mathematics are often different from those used inGreek-language text: they are designed to be used in isolation, not connected to other letters, and some use variant forms which are not normally used in current Greek typography.
TheOpenType font format has the feature tag "mgrk" ("Mathematical Greek") to identify aglyph as representing a Greek letter to be used in mathematical (as opposed to Greek language) contexts.
The table below shows a comparison of Greek letters rendered inTeX and HTML.The font used in the TeX rendering is an italic style. This is in line with the convention that variables should be italicized. As Greek letters are more often than not used as variables in mathematical formulas, a Greek letter appearing similar to the TeX rendering is more likely to be encountered in works involving mathematics.
thestandardized regression coefficient for predictor or independent variables inlinear regression (unstandardized regression coefficients are represented with the lower-case Latin b, but are often called "betas" as well)
the ratio of collector current to base current in a bipolar junctiontransistor (BJT) in electronics (current gain)
^Lindenmayer, David. (2005).Practical conservation biology. Burgman, Mark A. Collingwood, Vic.: CSIRO Pub. p. 404.ISBN0-643-09310-9.OCLC65216357.These parameters are related by the expression:… whereE is effect size,n is sample size, α is the type I error rate and σ is the standard deviation of the variability of the data
^Rabinowitz, Harold; Vogel, Suzanne (2009).The manual of scientific style: a guide for authors, editors, and researchers (1st ed.). Amsterdam Burlington, MA: Elsevier/Academic Press. p. 348.ISBN978-0-12-373980-3.
^Burns, M. Shane (2022).A practical guide to observational astronomy (First ed.). Boca Raton: CRC Press. p. 5.ISBN978-0-367-76863-8.The two angles that specify the location of a point on the celestial sphere are called theright ascension α and thedeclination δ
^Rabinowitz, Harold; Vogel, Suzanne (2009).The manual of scientific style: a guide for authors, editors, and researchers (1st ed.). Amsterdam Burlington, MA: Elsevier/Academic Press. p. 363.ISBN978-0-12-373980-3.The primary designation system for bright stars, called Bayer designations… The Greek letters are assigned in order (α,β, γ,δ etc.) according to brightness.
^Bhandari, Pritha (2021-01-18)."Type I & Type II Errors | Differences, Examples, Visualizations".Scribbr. Retrieved2025-01-22.The probability of making a Type I error is the significance level, or alpha (α), while the probability of making a Type II error is beta (β).
^Languis, M. L.; Buffer, James J.; Martin, Daniel; Naour, Paul J. (2011).Cognitive Science (RLE Edu E): Contributions to Educational Practice. Routledge Library Editions: Education. Hoboken: Taylor and Francis. p. 183.ISBN978-0-415-68351-7.Vieth (1982) established that cognition could be quantified by summing the value of alpha plus beta brain waves.
^Bowen, Alan C.; Rochberg, Francesca, eds. (2020).Hellenistic astronomy: the science in its contexts. Brill's companions in classical studies. Leiden ; Boston: Brill. pp. 16–17.ISBN978-90-04-24336-1.Celestial longitude (λ) is measured eastward from the vernal equinox along the zodiacal circle, and celestial latitude (β) is the angular distance of the arc dropped perpendicularly from the body to the zodiacal circle.
^Freidberg, Jeffrey P. (2014).Ideal MHD (1st ed.). West Nyack: Cambridge University Press. p. 68.ISBN978-1-107-00625-6.The quantity β is a global plasma parameter whose value is critical for a fusion reactor... Qualitatively, β measures the ratio plasma pressure to magnetic pressure:
^Volchenkov, Dimitri (2022).Mathematical Methods in Modern Complexity Science. Nonlinear Systems and Complexity Series. José António Tenreiro Machado. Cham: Springer International Publishing AG. p. 36.ISBN978-3-030-79411-8.We defined β as the ratio v/c, where v the is the modulus of the vector velocityv.
^Zhang, Keqian; Li, Dejie, eds. (2008).Electromagnetic Theory for Microwaves and Optoelectronics. SpringerLink Bücher (2nd ed.). Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg. p. 82.ISBN978-3-540-74295-1.The reflection coefficient Γis real when medium 1 and medium 2 are both lossless media,…
^Weisstein, Eric W."Gamma Function".mathworld.wolfram.com. Retrieved2025-01-22.
^Hogg, Robert V.; Klugman, Stuart A. (2009).Loss Distributions. Wiley Series in Probability and Statistics. Hoboken: John Wiley & Sons, Inc. p. 225.ISBN978-0-471-87929-9.
^Baumann, Gerd (2005).Mathematica for theoretical physics (2nd ed.). New York: Springer. p. 731.ISBN978-0-387-01674-0.
^Kahle, Reinhard; Rathjen, Michael (2020).The legacy of Kurt Schütte. Cham: Springer. p. 41.ISBN978-3-030-49423-0.The Veblen approach was quite sufficient even for the ordinal, now known as the Feferman–Schütte ordinal, Γ0 for predictive analysis
^Fayngold, Moses (2008).Special relativity and how it works. Physics textbook. Weinheim: Wiley-VCH. p. 32.ISBN978-3-527-40607-4.Because we will come across this coefficient quite often, we will give it a special name, the Lorentz factor, and stick to our symbol γ(V),...
^Weisstein, Eric W."Kronecker Delta".mathworld.wolfram.com. Retrieved2025-01-23.
^Weisstein, Eric W."Delta Function".mathworld.wolfram.com. Retrieved2025-01-23.
^abKatzung & Trevor's Pharmacology Examination & Board Review (9th Edition.). Anthony J. Trevor, Bertram G. Katzung, Susan B. MastersISBN978-0-07-170155-6. B. Opioid Peptides + 268 pp.
^Burns, M. Shane (2022).A practical guide to observational astronomy (First ed.). Boca Raton: CRC Press. p. 5.ISBN978-0-367-76863-8.The two angles that specify the location of a point on the celestial sphere are called theright ascension α and thedeclination δ
^Kutner, Michael H.; Nachtsheim, Christopher J.; Neter, John; Li, William (2005).Applied Linear Statistical Models (5th ed.). New York: McGraw-Hill. pp. xxviii, 1396.ISBN0-07-310874-X.
^Golub, Gene; Charles F. Van Loan (1996).Matrix Computations – Third Edition. Baltimore: The Johns Hopkins University Press. p. 53.ISBN0-8018-5413-X.
^Montenari, Michael, ed. (2018).Cyclostratigraphy and astrochronology. Stratigraphy and Timescales (1st ed.). London San Diego, Calif. Cambridge, Mass. Oxford: Academic Press, an imprint of Elsevier. p. 84.ISBN978-0-12-815098-6.The Earth's orbital obliquity or axial tilt (ε) is the angle between the Earth's equatorial plane and its orbital plane,
^Free, Rhona C. (2010).21st century economics: a reference handbook. Thousand Oaks (Calif.): Sage. pp. 93–94.ISBN978-1-4129-6142-4.
^Wilkie, Jacqueline; Johnson, Michael; Katebi, Reza (2002).Control engineering: an introductory course. Basingstoke: Palgrave. p. 179.ISBN978-0-333-77129-7.We shall refer to ζ as the damping ratio throughout this text.
^Hunter, Robert J. (1988).Zeta potential in colloid science: principles and applications (New paperback ed.). London San Diego: Academic Press. p. 6.ISBN978-0-12-361961-7.It is also possible to correlate the ζ-potential with the sedimentation behaviour of colloidal systems and with the flotation behaviour of mineral ores.
^Harada, Kōichirō (2010)."Moonshine" of finite groups. EMS series of lectures in mathematics. Zürich: European Mathematical Society. p. 17.ISBN978-3-03719-090-6.
^Struchtrup, Henning (2024).Thermodynamics and energy conversion (Second ed.). Cham: Springer. pp. 164–165.ISBN978-3-031-60555-0.
^Rybicki, George B.; Lightman, Alan P. (1979).Radiative processes in astrophysics. A Wiley-Interscience publication. New York: Wiley. p. 123.ISBN978-0-471-04815-2.
^Weisstein, Eric W."Lambda Calculus".mathworld.wolfram.com. Retrieved2025-01-22.
^Kubat, Miroslav (2021).An introduction to machine learning (Third ed.). Cham, Switzerland: Springer Nature. p. 129.ISBN978-3-030-81934-7.When describing backpropagation of error, we assumed a constant learning rate, η .
^Weisstein, Eric W."Kappa Curve".mathworld.wolfram.com. Retrieved2025-02-06.
^Bowen, Alan C.; Rochberg, Francesca, eds. (2020).Hellenistic astronomy: the science in its contexts. Brill's companions in classical studies. Leiden ; Boston: Brill. pp. 16–17.ISBN978-90-04-24336-1.Celestial longitude (λ) is measured eastward from the vernal equinox along the zodiacal circle, and celestial latitude (β) is the angular distance of the arc dropped perpendicularly from the body to the zodiacal circle.
^Rabinowitz, Harold; Vogel, Suzanne (2009).The manual of scientific style: a guide for authors, editors, and researchers (1st ed.). Amsterdam Burlington, MA: Elsevier/Academic Press. p. 346.ISBN978-0-12-373980-3.
^Grossman, Nathaniel (1996).The Sheer Joy of Celestial Mechanics. Boston, MA: Birkhäuser Boston. p. 75.ISBN978-0-8176-3832-0.Introduce variables ζ and η related to the true anomaly f and the eccentric anomaly E by…
^Rabinowitz, Harold; Vogel, Suzanne (2009).The manual of scientific style: a guide for authors, editors, and researchers (1st ed.). Amsterdam Burlington, MA: Elsevier/Academic Press. p. 346.ISBN978-0-12-373980-3.
^Rabinowitz, Harold; Vogel, Suzanne (2009).The manual of scientific style: a guide for authors, editors, and researchers (1st ed.). Amsterdam Burlington, MA: Elsevier/Academic Press. p. 348.ISBN978-0-12-373980-3.
^Weisstein, Eric W."Golden Ratio".mathworld.wolfram.com. Retrieved2025-02-06.
^Weisstein, Eric W."Totient Function".mathworld.wolfram.com. Retrieved2025-02-06.
^Weisstein, Eric W."Chromatic Number".mathworld.wolfram.com. Retrieved2025-02-09.The chromatic number of a graph G is most commonly denoted χ (G) (e.g., Skiena 1990, West 2000, Godsil and Royle 2001, Pemmaraju and Skiena 2003),...
^Weisstein, Eric W."Polygamma Function".mathworld.wolfram.com. Retrieved2025-02-08.A special function mostly commonly denoted ψ_n(z), ψ^((n))(z), or F_n(z-1)...
^Srivastava, Manishi; Varma, Vishwanath; Abhilash, Lakshman; Sharma, Vijay Kumar; Sheeba, Vasu (June 2019). "Circadian Clock Properties and Their Relationships as a Function of Free-Running Period in Drosophila melanogaster".Journal of Biological Rhythms.34 (3):231–248.doi:10.1177/0748730419837767.ISSN1552-4531.PMID30939971.... 2) accuracy (i.e., day-to-day stability of the phase relationship (ψ), where ψ is the duration between a phase of the rhythm and a phase of the external cycle) is greater for clocks with τ close to 24 h; ...
^Weisstein, Eric W."Omega Constant".mathworld.wolfram.com. Retrieved2025-02-06.
^Weisstein, Eric W."Solid Angle".mathworld.wolfram.com. Retrieved2025-02-07.The solid angle Ω subtended by a surface S is defined as the surface area Ω of a unit sphere covered by the surface's projection onto the sphere.
^Weisstein, Eric W."Clique".mathworld.wolfram.com. Retrieved2025-02-07.A clique of a graph G is a complete subgraph of G, and the clique of largest possible size is referred to as a maximum clique (which has size known as the (upper) clique number ω(G)).