vartriangle
Represents an open triangle symbol commonly used in mathematical notation for various operators and relations.
Overview
Serves as a versatile mathematical symbol frequently employed in abstract algebra, topology, and analysis to denote specific operations or changes.
- Often used to indicate differences or variations in mathematical expressions
- Appears in operator theory and functional analysis contexts
- Common in proofs and theoretical mathematics where distinct triangle notation is needed
- Provides a visually distinct alternative to the solid triangle symbol
Examples
Representing change in a physical quantity, such as change in temperature.
\Delta T = 25\text{ K} \approx \vartriangle TGeometric expression showing the area of a triangle with base b and height h.
A_{\vartriangle} = \frac{1}{2}bhMathematical relation using triangle symbol as an operator.
f(x) \vartriangle g(x) = \frac{f(x) + g(x)}{2}