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What (who) is gradient procedure - definition
4-gradient; Four gradient; 4 gradient
Gradient
![''f''(''x'',''y'') {{=}} −(cos<sup>2</sup>''x'' + cos<sup>2</sup>''y'')<sup>2</sup>}} depicted as a projected [[vector field]] on the bottom plane.](https://commons.wikimedia.org/wiki/Special:FilePath/3d-gradient-cos.svg?width=200 "''f''(''x'',''y'') {{=}} −(cos<sup>2</sup>''x'' + cos<sup>2</sup>''y'')<sup>2</sup>}} depicted as a projected [[vector field]] on the bottom plane.")
MULTI-VARIABLE GENERALIZATION OF THE DERIVATIVE
Gradient vector; Gradients; Gradient (calculus); Gradient of a scalar; Gradient Operator; Grad operator
·adj Moving by steps; walking; as, gradient automata.
II. Gradient ·adj Adapted for walking, as the feet of certain birds.
III. Gradient ·noun The rate of regular or graded ascent or descent in a road; grade.
IV. Gradient ·noun A part of a road which slopes upward or downward; a portion of a way not level; a grade.
V. Gradient ·adj Rising or descending by regular degrees of inclination; as, the gradient line of a railroad.
VI. Gradient ·noun The rate of increase or decrease of a variable magnitude, or the curve which represents it; as, a thermometric gradient.
gradient
MULTI-VARIABLE GENERALIZATION OF THE DERIVATIVE
Gradient vector; Gradients; Gradient (calculus); Gradient of a scalar; Gradient Operator; Grad operator
['gre?d??nt]
¦ noun
1. a sloping part of a road or railway.
the degree of such a slope, expressed as change of height divided by distance travelled.
Mathematics the degree of steepness of a graph.
2. Physics a change in the magnitude of a property (e.g. temperature) observed in passing from one point or moment to another.
Origin
C19: from grade, on the pattern of salient.
gradient
MULTI-VARIABLE GENERALIZATION OF THE DERIVATIVE
Gradient vector; Gradients; Gradient (calculus); Gradient of a scalar; Gradient Operator; Grad operator
n.
Grade, rate of ascent or of descent.
Wikipedia
Four-gradient
In differential geometry, the four-gradient (or 4-gradient) is the four-vector analogue of the gradient from vector calculus.
In special relativity and in quantum mechanics, the four-gradient is used to define the properties and relations between the various physical four-vectors and tensors.
