length of trajectory

USAGE SUMMARY

The phrase "length of trajectory" is correct and usable in written English.
It can be used in contexts related to physics, mathematics, or any discussion involving the path of an object in motion. Example: "The length of trajectory for the projectile was calculated to determine the distance it would travel before hitting the ground."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

where F is the temporal length of trajectory i in frames and N is the total number of trajectories.

IPSJ Transactions on Computer Vision and Applications

In addition, we do not fix the length of trajectory, when the tracking is terminated depending on whether there is still the edge point in the next frame.

EURASIP Journal on Image and Video Processing

First, in order to better describe the long-term motion information for action representation, a novel edge-based trajectory extracting strategy is introduced by tracking edge points from motion without limiting the length of trajectory; the end of the tracking is depending not only on the optical flow field but also on the optical flow vector position in the next frame.

EURASIP Journal on Image and Video Processing

The results indicated the sequence context effects to be small for this step, but revealed that MD on DNA at this length of trajectory is subject to surprisingly persistent cooperative transitions of the sugar-phosphate backbone torsion angles α and γ.

Biophysical Journal

We focus initially on the path length encoded by spike sequences, which we define as the length of trajectory represented by the sequence of spikes within a single theta cycle.

eLife

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

As each car moves with different speed, so length of trajectories varies.

EURASIP Journal on Image and Video Processing

Figure 4 illustrates the differences of trajectory length histogram between "run" and "hug," where the length of trajectories are normalized by dividing every video clips' frame numbers.

EURASIP Journal on Image and Video Processing

However, the time length of trajectories can be configured freely so that we can set an appropriate length depending on the target person.

EURASIP Journal on Advances in Signal Processing

In detail, the combination of MBHx/MBHy descriptors produces descriptors of size N×N×L (N is the size of space-time volume in pixels and L is the length of of trajectories).

EURASIP Journal on Image and Video Processing

However, when adding POI E to the first trajectory, we find that the length of current trajectory is larger than the bound l.

EURASIP Journal on Wireless Communications and Networking

While the first one evaluates a length of the trajectory (or time needed to execute the trajectory), the second part ensures safety of the path (i.e., distance to obstacles).

Robotics and Biomimetics

Expert writing Tips

Best practice

When discussing motion or processes, clearly define what "trajectory" refers to in your specific context to avoid ambiguity. This helps ensure that the relevance of the "length of trajectory" is well-understood by the reader.

Common error

Avoid using "length of trajectory" when you actually mean displacement. The length refers to the total distance covered, while displacement is the straight-line distance between the start and end points. Using the correct term ensures clarity and precision.

Linguistic Context

The phrase "length of trajectory" functions as a noun phrase used to quantify the total distance covered along a specific path. Ludwig examples showcase its use in scientific and technical writing.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "length of trajectory" is a technical term primarily used in scientific contexts to describe the total distance covered by an object or process along its path. Ludwig AI's analysis indicates that the phrase is grammatically correct and suitable for formal and scientific writing. While "trajectory length" offers a more concise alternative, choosing "length of trajectory" may be preferred in descriptive contexts. It is important to distinguish between "length of trajectory" and displacement to maintain precision. The usage examples are mainly in science-related domains, confirming its place in technical literature.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

trajectory length

Alters the word order for a more concise expression.

path length of the trajectory

Specifies "path" to emphasize the physical distance of the trajectory.

trajectory distance

Uses "distance" as a direct measure of the trajectory's extent.

spatial length of the trajectory

Emphasizes the spatial dimension of the length.

extent of the trajectory

Uses "extent" to refer to the range or scope of the trajectory.

total trajectory distance

Highlights the entirety of the distance covered by the trajectory.

measured trajectory length

Specifies that the length has been measured.

duration of the trajectory

Focuses on the temporal aspect instead of spatial.

the trajectory's span

Uses span to capture the range or duration of the trajectory.

trajectory's range

Highlights the maximum extent of the trajectory.

FAQs

How do I calculate the "length of trajectory"?

The calculation method depends on the context. In physics, it might involve integrating the speed over time. In computer graphics, it could mean summing the distances between points on a curve. Always specify the units of measurement.

What is the difference between "trajectory length" and "length of trajectory"?

They are essentially the same, but "trajectory length" is more concise. The choice often depends on the writing style and context. "Length of trajectory" might be preferred in more formal or descriptive contexts.

In what contexts is "length of trajectory" commonly used?

It is frequently used in physics, engineering, computer animation, and sports analysis to describe the distance covered by a moving object or a process evolving over time. Context dictates the precise meaning and method of calculation.

What are some related concepts to "length of trajectory"?

Related concepts include velocity, acceleration, displacement, path, and duration. Understanding these helps in a comprehensive analysis of motion. The specific relationships depend on the system or event being studied.