181
edits
Changes
Jump to navigation
Jump to search
mLine 1:
Line 1: − <small>For divergence of a series, see [[Convergence]]</small>+ − + + +
Spelling, template, and disambiguation style. I don't like the "small" style. Should there be a policy in the MOS?
::''For divergence of a series, see [[Convergence]]''
The '''divergence''' is a way of expressing a certain type of [[derivative]] of a [[vector field]]. It is typically defined for fields of 3-dimensional vectors on 3-dimensional space, but other dimensions are possible. The divergence of a vector field is a [[scalar field]], that is, just a number at each point in space. Vector fields with a divergence of zero are called ''divergenless'' or ''solenoidal''.
{{math-h}}
The '''divergence''' is a way of expressing a certain type of [[derivative]] of a [[vector field]]. It is typically defined for fields of 3-dimensional vectors on 3-dimensional space, but other dimensions are possible. The divergence of a vector field is a [[scalar field]], that is, just a number at each point in space. Vector fields with a divergence of zero are called ''divergenceless'' or ''solenoidal''.
Strictly speaking, The divergence of a Vector Field '''F''' is defined as the limit of the surface integral as the volume shrinks to 0:
Strictly speaking, The divergence of a Vector Field '''F''' is defined as the limit of the surface integral as the volume shrinks to 0: