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A temperature gradient is a physical quantity that describes in which direction and at what rate the temperature changes the most rapidly around a particular location. The temperature gradient is a dimensional quantity expressed in units of degrees (on a particular temperature scale) per unit length. The SI unit is kelvin per meter (K/m).

Temperature gradients in the atmosphere are important in the atmospheric sciences (meteorology, climatology and related fields). T.g is defined as ratio of the difference between temperature of 2 thermometer to distance between them

## Mathematical description

Assuming that the temperature T is an intensive quantity, i.e., a single-valued, continuous and differentiable function of three-dimensional space (often called a scalar field), i.e., that

${\displaystyle T=T(x,y,z)}$

where x, y and z are the coordinates of the location of interest, then the temperature gradient is the vector quantity defined as