## Gradient

In vector calculus, the **gradient** of a scalar field is a vector field that points in the direction of the greatest rate of increase of the scalar field, and whose magnitude is that rate of increase. In simple terms, the variation in space of any quantity can be represented (e.g. graphically) by a slope. The gradient represents the steepness and direction of that slope.

Read more about Gradient.

### Some articles on gradient:

Cross Level - Curvature - Cant

... Cant

**Gradient**... Cant

**gradient**is the amount by which cant is increased or decreased in a given length of track ... The rate of change of cant is used to determine the suitable cant**gradient**for a given design speed ... Track twist may also be used to describe cant**gradient**which may be expressed in percentage of cant change per length unit ...Sperm Chemotaxis in Mammals - Behavioral Mechanism

... spermatozoa, appear to sense a temporal chemoattractant

... spermatozoa, appear to sense a temporal chemoattractant

**gradient**... This is because the establishment of a temporal**gradient**in the absence of spatial**gradient**, achieved by mixing human spermatozoa with a chemoattractant, results in a ... of these observations it was suggested that the response characteristics observed in temporal**gradients**also occur in spatial**gradients**an excitation phase, composed of ...List Of Formulas In Riemannian Geometry -

... The

**Gradient**, Divergence, Laplaceâ€“Beltrami Operator... The

**gradient**of a function is obtained by raising the index of the differential, whose components are given by The divergence of a vector field with components ...Surface

... In vector calculus, the surface

**Gradient**... In vector calculus, the surface

**gradient**is a vector differential operator that is similar to the conventional**gradient**... The distinction is that the surface**gradient**takes effect along a surface ... For a surface in a scalar field, the surface**gradient**is defined and notated as where is a unit normal to the surface ...**Gradient**of A Vector

... In rectangular coordinates, the

**gradient**of a vector f = (f1, f2, f3) is defined by or the Jacobian matrix ... In curvilinear coordinates, the

**gradient**involves Christoffel symbols ...

### More definitions of "gradient":

- (
*noun*): The property possessed by a line or surface that departs from the horizontal.

Example:*"A five-degree gradient"*

Synonyms: slope