"सदिश कलन" (अनुभाग) सम्पादित करें

== संक्रियाओं का भौतिक जगत में अर्थ ==

{| class="wikitable" style="text-align:center"
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!संक्रिया (Operation) !! प्रकट करने का तरीका !! व्याख्या !! क्षेत्र/परास (Domain/Range)
|- 
! ग्रेडिएन्ट (Gradient)
| <math> \operatorname{grad}(f) = \nabla f </math> || Measures the rate and direction of change in a scalar field. || Maps scalar fields to vector fields.
|-
! कर्ल (Curl)
| <math> \operatorname{curl}(\mathbf{F}) = \nabla \times \mathbf{F} </math> || Measures the tendency to rotate about a point in a vector field. || Maps vector fields to vector fields.
|-
! डाइवरजेंस (Divergence)
| <math> \operatorname{div}(\mathbf{F}) = \nabla \cdot \mathbf{F} </math> || Measures the magnitude of a source or sink at a given point in a vector field. || Maps vector fields to scalar fields.
|-
! लाप्लास का ऑपरेटर (Laplace operator)
| <math> \Delta f = \nabla^2 f = \nabla \cdot \nabla f </math> || A composition of the divergence and gradient operations. || Maps scalar fields to scalar fields.
|}