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과학에 필요한 모든 그리스 문자 및 수학 기호

Greek Letters Math Symbols
Greek letters
Greek letters are essential symbols that simplify complex concepts in engineering, math, and science.

Remember when Greek letters were just strange symbols you ignored in 학교? Turns out, they’re the secret superheroes of engineering, math, and science! Now, instead of puzzling you, α, β, π, and λ pop up everywhere, helping us describe everything from angles and probabilities to wavelengths and constants. These little letters make complex ideas easier to handle and communicate, proving that those “weird” symbols you skipped over are actually the everyday language of the scientific world.

And because this is 혁신.세계 here, this article provides clear definitions for all Greek letters used in science and math, instructions for typing them on Windows and macOS, their typical applications across fields like physics, statistics, and engineering, and a key formula example for each. It serves as a practical reference to understand the meaning and usage of these symbols in real-world contexts.

All Greek Letters & Math Symbols

*: on macOS, the Option key combinations assume the Greek Polytonic keyboard is enabled (see details below the table and other means to get them)

English NameGreek LetterHow to Type*Domain UsageFamous Formula
AlphaLower case: α

Windows: Alt + 224
macOS: Option + a
Unicode: U+03B1

Physics: Alpha Particle, a helium nucleus emitted during radioactive decay.Alpha decay: ({}^{A}_{Z}X rightarrow {}^{A-4}_{Z-2}Y + {}^{4}_{2}alpha)
소프트웨어 Development: Alpha Test, the first phase of formal software testing done internally. 
Finance: Alpha, a measure of an investment’s performance compared to a benchmark.Jensen’s Alpha: (alpha = R_i – [R_f + beta_i (R_m – R_f)])
Organic Chemistry: Alpha Carbon, the first carbon atom attached to a functional group. 
Upper case: Α

Windows: Alt + 913
macOS: Shift + Option + a
Unicode: U+0391

Mathematics: Set notation, often used to denote sets or constants. 
Physics: Angular acceleration, sometimes used for this quantity.각가속도: (alpha = frac{domega}{dt})
Engineering: Coefficient of thermal expansion, symbol for linear expansion.Thermal expansion: (Delta L = alpha L_0 Delta T)
Statistics: Significance level, probability of Type I error.Significance level: (alpha = P(text{Type I error}))
BetaLower case: β

Windows: Alt + 225
macOS: Option + b
Unicode: U+03B2

Physics: Beta Particle, an electron or positron emitted in radioactive decay.Beta decay: (n rightarrow p + e^- + bar{nu}_e)
Finance: Beta, a measure of a stock’s volatility relative to the market.Beta coefficient: (beta = frac{mathrm{Cov}(R_i, R_m)}{mathrm{Var}(R_m)})
Mathematics: Beta function, a special function in calculus.Beta function: (B(x, y) = int_0^1 t^{x-1}(1-t)^{y-1}dt)
Upper case: Β

Windows: Alt + 914
macOS: Shift + Option + b
Unicode: U+0392

Mathematics: Used as a variable or constant in equations. 
Engineering: Phase constant in wave equations.Phase constant: (beta = frac{2pi}{lambda})
Statistics: Type II error probability.Type II error: (beta = P(text{Type II error}))
GammaLower case: γ

Windows: Alt + 226
macOS: Option + g
Unicode: U+03B3

Physics: Gamma Ray, 고에너지 electromagnetic radiation.Photon energy: (E = hnu = hfrac{c}{lambda})
Mathematics: Euler–Mascheroni constant, sometimes denoted by γ.Euler–Mascheroni constant: (gamma = lim_{n to infty} left( sum_{k=1}^n frac{1}{k} – ln n right))
공학: 비중량, 중량 대 부피의 비율.Specific weight: (gamma = frac{W}{V})
Statistics: Skewness, measure of asymmetry in probability distributions.Skewness: (gamma_1 = frac{mu_3}{sigma^3})
Upper case: Γ

Windows: Alt + 915
macOS: Shift + Option + g
Unicode: U+0393

Mathematics: Gamma function, generalization of factorial function.Gamma function: (Gamma(z) = int_0^infty t^{z-1} e^{-t} dt)
Physics: Lorentz factor, used in special relativity.Lorentz factor: (gamma = frac{1}{sqrt{1 – v^2/c^2}})
Engineering: Shear modulus, a material property.Shear modulus: (tau = Gamma cdot theta)
Computer Science: Graph theory, denotes a graph. 
DeltaLower case: δ

Windows: Alt + 235
macOS: Option + d
Unicode: U+03B4

Mathematics: Kronecker delta, a function of two variables.Kronecker delta: (delta_{ij} = begin{cases} 1 & i = j \ 0 & i neq j end{cases})
Physics: Dirac delta function, a distribution with zero width and infinite height.Dirac delta: (int_{-infty}^{infty} f(x) delta(x-a) dx = f(a))
Economics: Depreciation rate, rate at which assets lose value.Depreciation: (V_t = V_0 e^{-delta t})
Engineering: Deflection, displacement in structures.Beam deflection: (delta = frac{PL^3}{48EI})
Upper case: Δ

Windows: Alt + 916
macOS: Shift + Option + d
Unicode: U+0394

Mathematics: Change or difference, as in Δx (change in x).Difference: (Delta x = x_2 – x_1)
Physics: Heat transfer, as in ΔQ (change in heat).열 전달: (Delta Q = mcDelta T)
Chemistry: Reaction change, as in ΔH (change in enthalpy).Enthalpy change: (Delta H = H_{text{products}} – H_{text{reactants}})
Finance: Delta, sensitivity of option price to underlying asset price.Option delta: (Delta = frac{partial V}{partial S})
EpsilonLower case: ε

Windows: Alt + 238
macOS: Option + z
Unicode: U+03B5

Mathematics: Arbitrarily small positive quantity, used in limits. 
Physics: Permittivity, as in ε₀ (vacuum permittivity).Coulomb’s law: (F = frac{1}{4pivarepsilon_0} frac{q_1 q_2}{r^2})
Engineering: Strain, deformation per unit length.Strain: (varepsilon = frac{Delta L}{L_0})
Upper case: Ε

Windows: Alt + 917
macOS: Shift + Option + z
Unicode: U+0395

Mathematics: Used as a variable or constant. 
Physics: Electric field strength.Electric field: (vec{E} = frac{vec{F}}{q})
Statistics: Expected value operator (rarely). 
ZetaLower case: ζ

Windows: Alt + 950
macOS: Option + j
Unicode: U+03B6

Mathematics: Riemann zeta function, important in number theory.Riemann zeta: (zeta(s) = sum_{n=1}^infty frac{1}{n^s})
Physics: Damping ratio, in oscillatory systems.Damping ratio: (zeta = frac{c}{2sqrt{mk}})
대문자: Ζ

Windows: Alt + 918
macOS: Shift + Option + j
Unicode: U+0396

Mathematics: Used as a variable or constant. 
Physics: Atomic number (rarely). 
EtaLower case: η

Windows: Alt + 951
macOS: Option + h
Unicode: U+03B7

Physics: Efficiency, ratio of output to input.Efficiency: (eta = frac{P_{text{out}}}{P_{text{in}}})
유체역학: Dynamic 점도.Viscosity: (tau = eta frac{du}{dy})
Upper case: Η

Windows: Alt + 919
macOS: Shift + Option + h
Unicode: U+0397

Mathematics: Used as a variable or constant. 
Physics: Enthalpy (rarely).Enthalpy: (H = U + pV)
ThetaLower case: θ

Windows: Alt + 952
macOS: Option + q
Unicode: U+03B8

Mathematics: Angle, especially in polar coordinates.Polar coordinates: (x = rcostheta,, y = rsintheta)
Physics: Temperature difference (sometimes). 
Statistics: Parameter in probability distributions. 
Upper case: Θ

Windows: Alt + 920
macOS: Shift + Option + q
Unicode: U+0398

Mathematics: Asymptotic tight bound in Big Theta notation.큰 세타: (f(n) = Theta(g(n)))
Physics: Potential temperature.Potential temperature: (theta = T left(frac{p_0}{p}right)^{R/c_p})
Engineering: Used as a variable or constant. 
IotaLower case: ι

Windows: Alt + 953
macOS: Option + v
Unicode: U+03B9

Mathematics: Inclusion map in topology. 
Upper case: ΙMathematics: Used as a variable or constant. 
KappaLower case: κ

Windows: Alt + 954
macOS: Option + k
Unicode: U+03BA

Physics: Thermal conductivity.Thermal conductivity: (q = -kappa nabla T)
Mathematics: Curvature of a curve.Curvature: (kappa = left|frac{dmathbf{T}}{ds}right|)
Upper case: Κ

Windows: Alt + 922
macOS: Shift + Option + k
Unicode: U+039A

Mathematics: Used as a variable or constant. 
Physics: Dielectric constant (rarely). 
LambdaLower case: λ

Windows: Alt + 955
macOS: Option + l
Unicode: U+03BB

Physics: Wavelength of a wave.Wavelength: (lambda = frac{v}{f})
Mathematics: Eigenvalue in linear algebra.Eigenvalue equation: (Amathbf{v} = lambdamathbf{v})
Computer Science: Lambda calculus, anonymous function.람다 추상화: (lambda x. x^2)
Upper case: Λ

Windows: Alt + 923
macOS: Shift + Option + l
Unicode: U+039B

Physics: Cosmological constant in general relativity.Einstein’s Field Equations: (R_{munu} – frac{1}{2}g_{munu}R + Lambda g_{munu} = frac{8pi G}{c^4}T_{munu})
Mathematics: Used as a variable or constant. 
Statistics: Wilks’ lambda, test statistic. 
MuLower case: μ

Windows: Alt + 230
macOS: Option + m
Unicode: U+03BC

Physics: Coefficient of friction.Friction: (F = mu N)
Statistics: Population mean.Population mean: (mu = frac{1}{N}sum_{i=1}^N x_i)
Upper case: Μ

Windows: Alt + 924
macOS: Shift + Option + m
Unicode: U+039C

Mathematics: Used as a variable or constant. 
Physics: Magnetic dipole moment (rarely). 
NuLower case: ν

Windows: Alt + 957
macOS: Option + n
Unicode: U+03BD

Physics: Frequency of a wave.Frequency: (nu = frac{c}{lambda})
Fluid 역학: Kinematic viscosity.Kinematic viscosity: (nu = frac{mu}{rho})
Upper case: Ν

윈도우: Alt + 925
macOS: Shift + Option + n
Unicode: U+039D

Mathematics: Used as a variable or constant. 
Physics: Number of particles (rarely). 
XiLower case: ξ

Windows: Alt + 958
macOS: Option + x
Unicode: U+03BE

Mathematics: Random variable in probability theory. 
Physics: Damping ratio (sometimes). 
Upper case: Ξ

Windows: Alt + 926
macOS: Shift + Option + x
Unicode: U+039E

Physics: Cascade particle in particle physics. 
Mathematics: Used as a variable or constant. 
OmicronLower case: ο

Windows: Alt + 959
macOS: Option + o
Unicode: U+03BF

Mathematics: Used as a variable or constant (rarely). 
Upper case: ΟMathematics: Used as a variable or constant (rarely). 
PiLower case: π

Windows: Alt + 227
macOS: Option + p
Unicode: U+03C0

Mathematics: Pi, the ratio of a circle’s circumference to its diameter.Circle circumference: (C = 2pi r)
Statistics: Product operator (capital pi notation). 
Physics: Pion, a type of subatomic particle. 
Upper case: Π

Windows: Alt + 928
macOS: Shift + Option + p
유니코드: U+03A0

Mathematics: Product operator (capital pi notation).Product notation: (prod_{i=1}^n a_i)
Physics: Osmotic 압력.Osmotic pressure: (Pi = iMRT)
Computer Science: Projection operator in relational algebra. 
RhoLower case: ρ

Windows: Alt + 961
macOS: Option + r
Unicode: U+03C1

Physics: Density of a substance.Density: (rho = frac{m}{V})
Mathematics: Correlation coefficient.피어슨 correlation: (rho = frac{mathrm{Cov}(X,Y)}{sigma_X sigma_Y})
Upper case: Ρ

Windows: Alt + 929
macOS: Shift + Option + r
Unicode: U+03A1

Mathematics: Used as a variable or constant. 
Physics: Resistivity (rarely).Resistivity: (R = rho frac{L}{A})
SigmaLower case: σ

Windows: Alt + 963
macOS: Option + w
Unicode: U+03C3

Mathematics: Standard deviation in statistics.Standard deviation: (sigma = sqrt{frac{1}{N}sum_{i=1}^N (x_i – mu)^2})
Physics: Electrical conductivity.Conductivity: (J = sigma E)
Engineering: 스트레스 in materials.Stress: (sigma = frac{F}{A})
Final lower case: ς

Windows: Alt + 962
macOS: Option + s
유니코드: U+03C2

Greek language: Used as the final form of sigma at the end of words. 
Upper case: Σ

Windows: Alt + 228
macOS: Shift + Option + w
Unicode: U+03A3

Mathematics: Summation operator.Summation: (sum_{i=1}^n a_i)
Physics: Surface density. 
Computer Science: Alphabet of a formal language. 
TauLower case: τ

Windows: Alt + 964
macOS: Option + t
Unicode: U+03C4

Physics: Time constant in RC circuits.RC time constant: (tau = RC)
Mathematics: Divisor function. 
Upper case: Τ

Windows: Alt + 932
macOS: Shift + Option + t
Unicode: U+03A4

Mathematics: Used as a variable or constant. 
Physics: Kinetic energy (rarely). 
UpsilonLower case: υ

Windows: Alt + 965
macOS: Option + u
Unicode: U+03C5

Physics: Specific volume.Specific volume: (upsilon = frac{V}{m})
Mathematics: Used as a variable or constant. 
Upper case: Υ

Windows: Alt + 933
macOS: Shift + Option + u
Unicode: U+03A5

Physics: Upsilon meson, a subatomic particle. 
Mathematics: Used as a variable or constant. 
Lower case: φ

Windows: Alt + 966
macOS: Option + f
Unicode: U+03C6

Mathematics: Euler’s totient function.Euler’s totient: (varphi(n) = n prod_{p|n} left(1 – frac{1}{p}right))
Physics: Magnetic flux.Magnetic flux: (Phi = int vec{B} cdot dvec{A})
Mathematics: Golden ratio (sometimes).Golden ratio: (varphi = frac{1+sqrt{5}}{2})
Upper case: Φ

Windows: Alt + 934
macOS: Shift + Option + f
Unicode: U+03A6

Physics: Electric potential.Electric potential: (Phi = frac{1}{4pivarepsilon_0} int frac{rho(mathbf{r’})}{|mathbf{r} – mathbf{r’}|} d^3r’)
Mathematics: Cumulative distribution function (sometimes).Normal CDF: (Phi(x) = frac{1}{sqrt{2pi}} int_{-infty}^x e^{-t^2/2} dt)
Engineering: Work function in electronics. 
ChiLower case: χ

Windows: Alt + 967
macOS: Option + c
Unicode: U+03C7

Statistics: Chi-squared distribution.Chi-squared: (chi^2 = sum_{i=1}^n frac{(O_i – E_i)^2}{E_i})
Mathematics: Characteristic function in group theory. 
Upper case: Χ

Windows: Alt + 935
macOS: Shift + Option + c
Unicode: U+03A7

Mathematics: Used as a variable or constant. 
Physics: Electric susceptibility.Susceptibility: (chi = frac{M}{H})
Psi소문자: ψ

Windows: Alt + 968
macOS: Option + y
Unicode: U+03C8

Physics: Wave function in quantum mechanics.Schrödinger Equation: (ihbarfrac{partial}{partial t}Psi(mathbf{r},t) = left[-frac{hbar^2}{2m}nabla^2 + V(mathbf{r},t)right]Psi(mathbf{r},t))
Mathematics: Digamma function.Digamma: (psi(x) = frac{d}{dx} ln Gamma(x))
Upper case: Ψ

Windows: Alt + 936
macOS: Shift + Option + y
Unicode: U+03A8

Physics: Water potential in plant physiology. 
Mathematics: Used as a variable or constant. 
OmegaLower case: ω

Windows: Alt + 969
macOS: Option + v
Unicode: U+03C9

Physics: Angular frequency.Angular frequency: (omega = 2pi f)
Mathematics: Smallest infinite ordinal number. 
Electrical Engineering: Ohm, unit of electrical resistance. 
Upper case: Ω

Windows: Alt + 234
macOS: Option + z
Unicode: U+03A9

Physics: Ohm, unit of electrical resistance. 
Mathematics: Sample space in probability theory. 
Physics: Solid angle (steradian).Solid angle: (Omega = frac{A}{r^2})

Methods To Insert Greek Letters and Symbols

  • The Unicode Standard: both operating systems are built on the Unicode standard.
  • The Code Points: the specific code for any given character is identical. U+03C0 will always represent the lowercase Greek letter Pi (π) on any modern device.
  • File Compatibility: if you type a document containing Unicode characters (like π, Σ, or emojis) on a Windows PC, save it, and then open it on a Mac, the characters will appear correctly, and vice-versa.

The main differences are the tools and methods you use to enter the codes and how the characters are rendered on screen :

 WindowsmacOS
Direct Code EntryAlt + X(Word와 같은 지원되는 앱에서) 또는 16진수 입력에 대한 시스템 전체 레지스트리 변경.System-wide “Unicode Hex Input” keyboard layout (Option + hex code).
Character UtilityCharacter Map: A utility to find, copy, and paste characters.Character Viewer: A more integrated tool (Control+Command+Space) to search, find, and insert characters.
Keyboard ShortcutsAlt Codes (Alt + numeric keypad) for a limited set of characters.Option Key Combos (Option + letter) for a different set of common symbols.
Fonts (Rendering)Uses its own set of default system fonts (like Segoe UI, Calibri, Times New Roman).Uses its own default system fonts (like San Francisco, Helvetica, Geneva).

The Unicode standard itself is universal. A character is a character, no matter the platform. The only thing that changes is the 방법 you use to type it, described hereahter. You just need to learn the specific “how-to” for the operating system you are currently using.

Windows Greek Letters/Symbols How-Tos

  • hold the ALT key + type code given in the table above: this method is application dependent, so main not work everywhere.
  • the Emoji & Symbol Picker (Windows 10 and 11):  그만큼 Windows key + . (period) or Windows key + ; (semicolon) to open the panel, the navigate to the “Symbols” tab to find the Unicode characters, including currency, math symbols, and Greek letters
  • Character Map: open Character Map app, select the Greek letter, copy and paste it.
  • Unicode input: type the Unicode code point (e.g., 03B1 for α), then press Alt + X in some applications like Microsoft Word.
  • Microsoft Word “Insert Symbol”: Go to Insert > Symbol > More Symbols, select the Greek block, and insert the desired letter.
  • Keyboard layout switch: install and switch to a Greek keyboard layout via Windows settings to type Greek letters directly.
  • AutoCorrect in Word: use predefined shortcuts (e.g., typing “alpha” converts to α) if enabled. The full list is below:

MS Word의 모든 자동 고침 수학 기호

팁: on MS Word, if you know the Greek name, and do not need both upper and lower case versions, this is the most efficient method.

\alpha → α\beta → β\gamma → γ\delta → δ\epsilon → ε\zeta → ζ
\eta → η\theta → θ\iota → ι\kappa → κ\lambda → λ\mu → μ
\nu → ν\xi → ξ\pi → π\rho → ρ\sigma → σ\tau → τ
\upsilon → υ\phi → φ\chi → χ\psi → ψ\omega → ω 

And Other Math Symbols:

\infty → ∞\partial → ∂\nabla → ∇\times → ×\div → ÷\pm → ±
\leq → ≤\geq → ≥\neq → ≠\approx → ≈\equiv → ≡\rightarrow → →
\leftarrow → ←\Rightarrow → ⇒\Leftarrow → ⇐\leftrightarrow → ↔\cdot → ·\degree → °

 

macOS Greek Letters/Symbols How-Tos

  • Option Key Shortcuts (described in the table above): hold Option and press a specific key (e.g., Option + A for α).
  • Character Viewer: press Control + Command + 공간, search for Greek letters, and insert them.
  • Unicode Hex Input (also described in the table): enable Unicode Hex Input keyboard, hold Option and type the Unicode code (e.g., Option + 03B1 for α).
  • Keyboard Viewer: enable and use Keyboard Viewer to find and type Greek letters.
  • Text replacements: set up custom text replacements in System Preferences > Keyboard > Text (e.g., type “alpha” to get α).
  • Math or science apps: use built-in symbol palettes in apps like Pages, Keynote, or Microsoft Word for Mac.

 

If you use extensively complex formulas in your documents, we recommend these 2 articles on 유액:

Latex cheat sheet 1 e1749237167116
관련 항목도 참조하세요LaTeX 수식 작성에 필요한 모든 정보를 담은 완벽한 요약본
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Latex formula editor
관련 항목도 참조하세요LaTeX 수식 편집기
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External Links on Official Math Symbols

(링크 위에 마우스를 올려놓으면 콘텐츠에 대한 설명을 볼 수 있습니다.)

다룬 주제: Greek Letters, Math Symbols, Engineering, Physics, Statistics, Finance, Constants, Formula, Alpha, Beta, Gamma, Delta, Epsilon, Unicode, Software Development, Organic Chemistry, Kronecker Delta, and Dirac Delta..

역사적 맥락

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1738
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