TeXipedia

jmath

Represents a dotless variant of the letter j, commonly used in mathematical notation where adding accents or decorations is needed.

Overview

Essential in mathematical typography when constructing complex variables or when additional mathematical symbols need to be placed above the character without interference from the dot. Common applications include:

  • Complex analysis where j is used as an imaginary unit
  • Vector notation requiring decorated j variables
  • Mathematical physics equations where j needs to be combined with other diacritical marks
  • Quantum mechanics notation where multiple decorations on variables are needed

Examples

Using jmath as a variable in complex analysis to represent the imaginary unit without the dot.

f(z)=x+yȷf(z) = x + y\jmath
f(z) = x + y\jmath

Defining a complex function with multiple jmath terms.

g(z)=(3+2ȷ)(x4ȷ)g(z) = (3 + 2\jmath)(x - 4\jmath)
g(z) = (3 + 2\jmath)(x - 4\jmath)

Representing a complex vector with jmath components.

v=(2+3ȷ)i^+(1ȷ)j^\vec{v} = (2 + 3\jmath)\hat{i} + (1 - \jmath)\hat{j}
\vec{v} = (2 + 3\jmath)\hat{i} + (1 - \jmath)\hat{j}