varpropto
Denotes proportionality between mathematical quantities with a curvier, more stylized symbol than the standard \propto.
Overview
Provides an alternative, more elegant variant of the proportionality symbol commonly used in mathematical expressions and scientific notation.
- Popular in advanced mathematics and theoretical physics for expressing relationships between variables.
- Often preferred in formal mathematical writing for its aesthetic appeal.
- Used to indicate that one quantity varies directly with another, up to some constant factor.
- Particularly common in academic papers and mathematical journals where typographical refinement is valued.
Examples
Expressing proportionality in physical laws, showing that electric field strength varies proportionally with charge.
E \varpropto \frac{q}{r^2}Showing the relationship between kinetic energy and velocity squared in physics.
E_k \varpropto v^2Expressing the relationship between gravitational force and masses in Newton's law.
F_g \varpropto \frac{m_1 m_2}{r^2}