the smooth trajectory

USAGE SUMMARY

The phrase "the smooth trajectory" is correct and usable in written English.
It can be used to describe a path or course that is even and without abrupt changes, often in contexts like physics, project planning, or personal development. Example: "The rocket followed the smooth trajectory predicted by the engineers, ensuring a successful launch."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

The experimental results were obtained using the smooth trajectory generation algorithm and identified axis and friction models which have been presented in Parts I and II respectively, of this paper.

International Journal of Machine Tools and Manufacture

Furthermore, in [5] they gave a clear and extensive computational overview, proved the smooth trajectory property, studied bandwidth selection strategies and their effects on different feature spaces.

EURASIP Journal on Advances in Signal Processing

However, action is initiated with a slightly shorter latency, which is sufficient to account for the improved pursuit when informed by the prior beliefs about the smooth trajectory of the target.

Biological Cybernetics

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

There are also hybrid systems that aim to smooth out the transitions between the units in the concatenative approach using the smooth trajectories of the SSS approach [8].

EURASIP Journal on Audio, Speech, and Music Processing

The smoothed trajectory state and error covariance matrix [̂x k−N|k−s+1, P k−N|k−s+1] for 1≤s≤N+1 in the smoothing interval are obtained in Section 4 using augmented state smoothing algorithm.

EURASIP Journal on Advances in Signal Processing

The first term in the summation on the right-hand side is the smoothed trajectory state estimate ({textbf {textit ^{x}}}_{k-N|{k_{tau }}}) at each scan in the smoothing interval k τ =[k − N, k − N + 1, …,k] in Section 4 using (44) and (45).

EURASIP Journal on Advances in Signal Processing

The smoothed trajectories of the individual coastal ecosystems generally showed an initial decline in Chla with decreasing TN followed by stabilization or even an increase with further reductions in TN.

Environmental Science & Technology

In the context of active inference, this smooth trajectory can only be recognised and used to inform action after the onset of periodic motion.

Biological Cybernetics

In this contribution, we propose to exploit the speaker's smooth trajectory for improving the current position estimate.

EURASIP Journal on Advances in Signal Processing

The ODE solution (smooth trajectory), which describes the concentration of a hypothetical molecule, may after incorporation of system noise take the form of the SDE solution (fluctuating trajectory) for a particular realization.

Bioinformatics

As illustrated by Figure 14 (a zoom on Figure 13), each time the classical process of AAM proposes a nonplausible solution to the "AAM GM," it tries to go back, for that reason the trajectory of the "AAM GM" is disturbed compare to the "AAM 560" smooth trajectory.

EURASIP Journal on Image and Video Processing

Expert writing Tips

Best practice

When describing a process or development, use "the smooth trajectory" to emphasize predictability and lack of sudden disruptions. This adds a sense of reliability and control to your description.

Common error

Avoid using "the smooth trajectory" when describing situations involving unexpected changes or volatility. This phrase implies stability and predictability, which would be contradictory in such contexts.

Linguistic Context

The phrase "the smooth trajectory" functions as a noun phrase, where "smooth" acts as an adjective modifying the noun "trajectory". It typically describes a path or course of action that is even and without abrupt changes, as confirmed by Ludwig.

Expression frequency: Uncommon

Frequent in

Science

75%

News & Media

20%

Formal & Business

5%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "the smooth trajectory" is a grammatically correct noun phrase that describes a predictable and stable path or course of action. Ludwig AI confirms its usability in written English. It is most frequently used in scientific contexts to convey a sense of control and efficiency. While it's generally suitable for both formal and informal settings, it's essential to avoid its overuse in situations involving volatility or unexpected changes. Alternatives such as "seamless path" or "fluid course" can provide similar meanings with slightly different nuances.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a seamless path

Emphasizes the lack of interruptions or difficulties in the trajectory.

a fluid course

Highlights the effortless and continuous nature of the trajectory.

a gentle curve

Focuses on the gradual and non-abrupt changes in direction.

an even progression

Stresses the consistent and balanced development of the trajectory.

a predictable path

Highlights the expected and reliable nature of the trajectory.

a steady course

Emphasizes the stability and lack of sudden changes in the trajectory.

a gradual ascent

Focuses on a slow and continuous increase or improvement.

a controlled descent

Emphasizes the managed and stable decline or reduction.

an easy transition

Highlights the effortless shift from one state to another.

a streamlined development

Focuses on the efficient and uncomplicated progression of the trajectory.

FAQs

How can I use "the smooth trajectory" in a sentence?

You can use "the smooth trajectory" to describe a path or process that progresses without sudden changes or interruptions. For example, "The project followed "the smooth trajectory" outlined in the initial plan."

What are some alternatives to "the smooth trajectory"?

Alternatives include phrases like "seamless path", "fluid course", or "even progression", depending on the specific nuance you wish to convey.

Is "the smooth trajectory" a formal or informal phrase?

The phrase "the smooth trajectory" is generally considered neutral and suitable for both formal and informal contexts, though it's more commonly found in technical or analytical writing.

Which is more appropriate: "smooth trajectory" or "smoothed trajectory"?

"Smooth trajectory" typically describes a path that is inherently even, while "smoothed trajectory" implies that a trajectory has been adjusted to remove irregularities.