Editing Temperature gradient (section)

== Mathematical description ==
Assuming that the temperature ''T'' is an [[intensive quantity]], i.e., a single-valued, [[Continuous function|continuous]] and [[Derivative|differentiable]] [[Function (mathematics)|function]] of three-dimensional space (often called a [[scalar field]]), i.e., that

:<math>T=T(x,y,z)</math>

where ''x'', ''y'' and ''z'' are the [[Cartesian coordinate system|coordinates]] of the location of interest, then the temperature gradient is the [[vector (geometric)|vector]] quantity defined as

:<math>\nabla T = \begin{pmatrix}
{\frac{\partial T}{\partial x}},  
{\frac{\partial T}{\partial y}}, 
{\frac{\partial T}{\partial z}}
\end{pmatrix}</math>