1. Derivatives in higher dimensions , directional derivative and gradient.

2. Well, it's actually the directional derivative in that direction.

3. And that's basically, yes, that's the directional derivative.

4. Use of signal joint probability of directional derivative entropy minimum get the best rotation angle!

5. And,the slope is going to be the directional derivative in that direction OK, I think that's as graphicas I can get.

6. So, now, similarly, the directional derivative means, actually, we'll be slicing our graph by the vertical plane.

7. The directional derivative in a direction that's perpendicular to the gradient is basically zero.

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8. In the simple case, the directional derivative of x1 - x2 is (1,-1).

9. The directional derivative according to the vector fields was introduced.

10. So, for example, the directional derivative in the direction of i hat is the component along the x axes.

11. We discuss several different definitions of directional derivative and gradient vector.

12. x It's really partial f partial x, which is also the directional derivative in the direction of i.

13. So the derivative in any direction, tangent to g equals c, should be the directional derivative of f, in any such direction, should be zero.

14. OK, so the reason for that was that if you take any direction, you can measure the directional derivative, which means the rate of change of f in that direction.

15. You may recall from Part 2 in this series that the directional derivative of the objective function gives the direction in which the objective function grows in a maximization problem.

16. Four of them, i. e. the theorems on the mean-square total differential and mean-square directional derivative are special conclusions of the multiple parameter stochastic processes.

17. The objective function increases in the direction of the directional derivative of the objective function.

18. The paper offers a dual problem for the semi-infinite convex programming by using the directional derivative with zero dual gap.

19. A discussion of the relations between continuity, partial derivative, directional derivative and differentiability of binary function is helpful for us to study binary function.

20. Secondly, the new generalized gradient is introduced to take advantage of the given directional derivative.