TERM 1
Gradient
DEFINITION 1
The gradient of a scalar field is a vector field which points in
the direction of the greatest rate of increase of the scalar
field, and whose magnitude is the greatest rate of change. It
is denoted by an upside-down Delta,. f(x,y,z) f=df/dx i +
df/dy j + df/dz k
TERM 2
Divergence
DEFINITION 2
The divergence of a vector field is a scalar field hat measures
the magnitude of the vector field's source or sink at a given
point. It is denoted as the dot product of a gradient and the
vector field. F(x,y,z) = Pi + Qk + Rj where P,Q,R are functions
F = dP/dx + dQ/dy + dR/dz
TERM 3
Curl
DEFINITION 3
The curl (or rotor) is a vector operator that describes the
rotation of a vector field. It is denoted by the cross product of
the gradient and the vector field. (d/dx i + d/dy j +d/dz k) X F
This involves a matrix and I don't feel like typing it out...
TERM 4
Laplacian
DEFINITION 4
The Laplace operator is a second order differential operator
in the n-dimensional Euclidean space, defined as the
divergence of the gradient of f. It is denoted by 2 or f(x,y,z) f
= d2f/dx2+d2f/dy2+d2f/dz2
TERM 5
Curve
DEFINITION 5
A curve consists of the points through which a continuously
moving point passes.
