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Reference.org
Four-gradient
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<p>In <a href="/facts/Differential_geometry/c04XmyLu">differential geometry</a>, the four-gradient (or 4-gradient) ∂ {\displaystyle {\boldsymbol {\partial }}} is the <a href="/facts/Four-vector/89GpELMA">four-vector</a> analogue of the <a href="/facts/Gradient/TsR7uukj">gradient</a> ∇ → {\displaystyle {\vec {\boldsymbol {\nabla }}}} from <a href="/facts/Vector_calculus/mXKIJLJE">vector calculus</a>. </p><p>In <a href="/facts/Special_relativity/vsFFc63E">special relativity</a> and in <a href="/facts/Quantum_mechanics/BRc3Mzgr">quantum mechanics</a>, the four-gradient is used to define the properties and relations between the various physical four-vectors and <a href="/facts/Tensors/pNjFo5tV">tensors</a>. </p>