Примеры использования Second derivative на Английском языке и их переводы на Русский язык
{-}
-
Official
-
Colloquial
And thus the second derivatives are given as.
Likewise the second order condition for a relative minimum is usually stated to be that the second derivative at a critical point must be positive.
Curvature is the second derivative of the function, f"(x).
The difference quotient of the first derivative is a different function from the second-order difference quotient of g, butits limit is also the second derivative.
Map of the first and second derivatives of surfaces;
The second derivative(PID2) monitors the actual temperature rate of change.
Suitable formulas for the first and second derivatives are found.
The lines of the extremes for the second derivatives of the Gibbs potential were calculated for a system with the Lennard-Jones interaction potential.
However, this method does not take into account the second derivatives even approximately.
The second derivative can be computed directly from the second difference quotient, without ever referencing the first derivative. .
The endpoint is determined by calculating the second derivative of the curve segmented evaluation.
The second derivative of the gravitational potential in the correction equation on the rectangular coordinates x, y, z is used as a measured variable.
The Poisson equation(derived from Gauss's law)relates the second derivative of the potential to the charge density.
If the second derivative, f''(x) exists at x, and x is an inflection point for f, then f''(x) 0, but this condition is not sufficient for having a point of inflection, even if derivatives of any order exist.
Thus, in the ideal continuous case,detection of zero-crossings in the second derivative captures local maxima in the gradient.
Hereafter the point at which the second derivatives are evaluated will not be expressed explicitly so the Hessian matrix for this case would be said to be[fxx].
Afterwards the correction equation coefficients are calculated by differentiating the formula for calculating the second derivative of the gravitational potential on the rectangular coordinates x, y, z.
The discrete Laplacian is defined as the sum of the second derivatives Laplace operator Coordinate expressions and calculated as sum of differences over the nearest neighbours of the central pixel.
The familiar second order condition for a relative maximum ofa univariate function f(x) at the critical point x=x0 where f'(x)=0 is that the second derivative at that point must be negative;
The spectrum of the second derivative of the line almost twice narrow.
Thermodynamic tables are calculated on lines of phase equilibrium of the argon, including pressure, density, heat of vaporization,the first and second derivative of pressure on elasticity lines on temperature.
It is also a point of inflection if the second derivative is changing from positive values to negative values(the third derivative being negative).
For example, for a changing position x{\displaystyle x\,}, its time derivative x˙{\displaystyle{\dot{x}}}is its velocity, and its second derivative with respect to time, x¨{\displaystyle{\ddot{x}}}, is its acceleration.
The second derivative of the function described by the formula in paragraph 2.3 of Annex 6, Appendix 5 is deceleration j in revolutions per second squared or s-2.
Thus in order to determine the nature of a critical point at which the second derivative is zero we have to look at the value of the third derivative. .
If the second derivative is going from negative values to positive values(which corresponds to the third derivative, f'"(x) being positive at the point), then it is critical point is a point of inflection.
In this paper we obtain formulas that allow us to calculate the first and second derivatives of the gravitational potential in spherical, rectangular and local rectangular coordinate systems.
If the second derivative is positive at points near the critical point and zero at the critical point(corresponding to a zero third derivative at the critical point) then the critical point would be a relative minimum.
These techniques are based on the determination of the total curvature surface(Vanícek and Ou,1996), the second derivative surface in the direction of the gradient(Bennet, 1996) and other second derivative-based analyses.
But if the second derivative is negative and the goes to zero at the critical point and then becomes negative again(corresponding to the third derivative also being zero at the critical point) then the critical point is a relative maximum.