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#### Meaning of Gradient in English

1. a graded change in the magnitude of some physical quantity or dimension
2. the property possessed by a line or surface that departs from the horizontal
3. Moving by steps; walking; as, gradient automata.
4. Rising or descending by regular degrees of inclination; as, the gradient line of a railroad.
5. Adapted for walking, as the feet of certain birds.
7. A part of a road which slopes upward or downward; a portion of a way not level; a grade.
8. The rate of increase or decrease of a variable magnitude, or the curve which represents it; as, a thermometric gradient.
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Usage of " Gradient" in sentences

1. the movement of a solute down its concentration gradient is called diffusion
3. the gravity gradient of the moon causes the ocean tides on Earth

### Description

In vector calculus, the gradient of a scalar-valued differentiable function f of several variables is the vector field (or vector-valued function) $\"{\\displaystyle$ whose value at a point $\"{\\displaystyle$ is the vector whose components are the partial derivatives of $\"{\\displaystyle$ at $\"{\\displaystyle$. That is, for $\"{\\displaystyle$, its gradient $\"{\\displaystyle$ is defined at the point $\"{\\displaystyle$ in n-dimensional space as the vector:

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