# stationary point

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Related to stationary point: Saddle point

## stationary point

See direct motion.

## stationary point

[′stā·shə‚ner·ē ′pȯint]
(astronomy)
A point at which a planet's apparent motion changes from direct to retrograde motion, or vice versa.
(mathematics)
A point on a curve at which the tangent is horizontal.
For a function of several variables, a point at which all partial derivatives are 0.
References in periodicals archive ?
Before July 1, 2002, compensation for temporary loss of earnings was given from the point of the whiplash injury up to the stationary point. From July 1, 2002, compensation for temporary loss of earnings was now awarded up to the point where the final assessment of loss of earnings capacity is completed.
In every one of the above integrals, the phase function F(t, u) has a unique stationary point at t = 0 with [F.sup.(n)](0,u) = 0, n = 0,1, 2,...,m - 1 and [F.sup.(m)](0,u) = [f.sup.(m)](a)[u.sup.(m)] [not equal to] 0.
In experiments, we will compare the following statistics: the number of iterations (Iter), the CPU time in second (time), the speed of convergence to stationary point, and the minimum value of objective function value (fun).
The optimized geometries and frequencies of the stationary point and the minimum-energy paths are calculated by using the DFT (B3LYP) methods with 6-311 basis sets.
Letting (2) equal zero, we can find the stationary point for the objective function.
Define [partial derivative]f(i)/[partial derivative][P.sub.j] = f(i,j), [[alpha].sub.k] = [Y.sub.exp]([t.sub.k]) - f(k) and for an independent variation of the variables (P, k) at the stationary point, we have
where S([f.sub.[tau]], [f.sub.a]; [r.sub.0], [x.sub.0]) is the 2-D spectrum, [f.sub.[tau]] and [f.sub.a] are range frequency and Doppler frequency respectively, [W.sub.r](*) and [W.sub.a](*) are the envelopes of range spectrum and azimuth spectrum respectively, [f.sub.c] is the carrier frequency, [t.sup.*] is the azimuth stationary point and can be written as
Maybe not as well as Ford had hoped as they were fighting from a virtual stationary point against rivals with a huge head start, but the first generation model shifted 45,000 units in the UK until the second generation model appeared in 2013.
It has now resumed direct motion, having reached its second stationary point at the end of January.
Analogous to the inhibited variational models in which one has stationary solutions, our objective is to present results that establish the necessary and sufficient conditions for the existence of a stationary point.
The canonical analysis of the response surface was performed with SAS to determine the shape of the fitted response and the estimated stationary point. According to the model, the predicted response at the stationary point ([X.sub.1] = 76.25, [X.sub.2] = 1.38, and [X.sub.3] = 3.08, shown in Table 6) was 109.93 g/L.

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