TeXipedia

chi

Represents the twenty-second letter of the Greek alphabet, commonly used in statistics, mathematics, and scientific notation.

Overview

A versatile Greek letter that appears frequently across multiple scientific disciplines and mathematical contexts:

  • Widely used in statistics for chi-square tests and distributions
  • Common in quantum mechanics to represent wavefunctions
  • Appears in chemistry for electron configurations and molecular orbitals
  • Used in mathematics for characteristic functions and special functions
  • Often employed in physics for various quantities and parameters

Examples

Testing statistical independence using the chi-squared statistic.

χ2=i=1n(OiEi)2Ei\chi^2 = \sum_{i=1}^{n} \frac{(O_i - E_i)^2}{E_i}
\chi^2 = \sum_{i=1}^{n} \frac{(O_i - E_i)^2}{E_i}

Characteristic function in probability theory.

χX(t)=E[eitX]\chi_X(t) = \mathbb{E}[e^{itX}]
\chi_X(t) = \mathbb{E}[e^{itX}]

Wave function in quantum mechanics.

H^χ=Eχ\hat{H}\chi = E\chi
\hat{H}\chi = E\chi