sum of distance

USAGE SUMMARY

The phrase "sum of distance" is correct and usable in written English.
It can be used in contexts involving mathematics, physics, or any situation where you are calculating the total distance covered or measured. Example: "To find the total travel cost, we need to calculate the sum of distance for all the trips taken this month."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

10 human-written examples

The distance of two segments is defined as the sum of distance of corresponding planar curves.

EURASIP Journal on Image and Video Processing

k-means returns the solution with the lowest value for sum of distance.

Journal of Modern Power Systems and Clean Energy

The overall performance was evaluated based on the sum of distance from demand points to their corresponding facilities.

Journal of Industrial Engineering International

A PLM i) that is not smaller than 1 is related to the average channel quality and the sum of distance between a node and its direct neighbors.

EURASIP Journal on Wireless Communications and Networking

For the pixel p inside an object, π(p) can be approximated as the sum of distance to other pixels in the same object which is smaller.

EURASIP Journal on Image and Video Processing

where Z denotes the normalization factor, ∥p−q∥ is the spatial distance between pixels p and q, and Σ q) is the sum of distance to all other pixels.

EURASIP Journal on Image and Video Processing

Human-verified similar examples from authoritative sources

Similar Expressions

50 human-written examples

In the first method, we define the representative to be a time series that has the minimum sum-of-distances (MSD) with all the other time series in that cluster.

BMC Genomics

In our approach, the sum of distance-weighted congruent objectives of normalized weighted closeness relationships and distance-weighted normalized weighted interactions are handled in the objective function.

Computers & Mathematics with Applications

In this paper, we propose an alternate approach to an existing approach that handles the sum of distance-weighted closeness relationships and distance-weighted interactions assigned relative weights in the objective function.

Computers & Mathematics with Applications

Three objectives are considered: minimizing the sum of squares of distances, minimizing the maximum distance, and minimizing the sum of distances.

Computers & Operations Research

This definition is based on the minimisation of a geometrically motivated objective function which measures the sum of distances of a variable matrix to the given data matrices.

Signal Processing

Expert writing Tips

Best practice

When using "sum of distance" in technical writing, clearly define what distances are being summed to avoid ambiguity. For example, specify if it's the sum of distances between points, segments, or objects.

Common error

Avoid using "sum of distance" in contexts where a simple "total distance" or another more common term would suffice. Overusing technical jargon can make your writing less accessible.

Linguistic Context

The phrase "sum of distance" functions as a noun phrase, often serving as the object of a verb or preposition. It denotes a calculated total, derived by adding individual distances together. Ludwig AI confirms its usability in technical and mathematical contexts.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "sum of distance" is a grammatically sound and usable term, primarily found in scientific and technical contexts as Ludwig AI confirms. It functions as a noun phrase, used to express a calculated total length or separation. While it's a correct phrase, alternatives such as "total distance" or "cumulative distance" may provide more concise options, depending on the specific nuances you wish to convey. When employing "sum of distance", ensure clarity by specifying which distances are being summed. Given its technical nature, the phrase is most appropriate for formal writing rather than informal communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

total distance

Replaces "sum of" with "total", offering a more concise way to express the same concept.

cumulative distance

Emphasizes the accumulation of distance over multiple segments or points.

aggregate distance

Suggests a gathering or collection of distances into a single value.

overall distance

Highlights the comprehensive nature of the distance being considered.

combined distance

Implies that multiple distances are being joined together.

net distance

Focuses on the effective distance, possibly after accounting for direction or other factors.

integrated distance

Suggests a more complex calculation or consideration of distance within a system.

total path length

Replaces "distance" with "path length", focusing on the length of a route.

accumulated length

Emphasizes the process of length accumulating during traversal or over time.

distance summation

Uses a more formal term to refer to the same concept.

FAQs

How can I use "sum of distance" in a sentence?

You can use "sum of distance" to describe the total length or separation calculated by adding individual distances together. For example, "The algorithm minimizes the "sum of distance" between data points and their assigned cluster center."

What are some alternatives to "sum of distance"?

Alternatives include "total distance", "cumulative distance", or "aggregate distance", depending on the specific nuance you want to convey.

Is it more appropriate to say "sum of distances" or "sum of distance"?

"Sum of distances" is generally more appropriate when referring to multiple individual distances that are being added together. "Sum of distance" can be used in a more abstract sense when referring to distance as a continuous or general quantity.

What's the difference between "sum of distance" and "average distance"?

"Sum of distance" refers to the total distance when multiple distances are added together. "Average distance", on the other hand, is calculated by dividing the "sum of distance" by the number of distances being considered, giving a measure of central tendency.