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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
on each edge
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "on each edge" is correct and usable in written English.
It can be used to describe something that is located or applied to every edge of an object or surface. Example: "The design features a decorative pattern on each edge of the table."
✓ Grammatically correct
Science
News & Media
Wiki
Alternative expressions(8)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
60 human-written examples
The best easy way to do it is to do one stroke on each edge of the tail and then one down the center.
Wiki
In this paper we characterize the class of plane graphs that can be embedded on the two-dimensional grid with at most one bend on each edge.
Science
In addition, we provide an algorithm that either detects a forbidden configuration or generates an embedding with at most one bend on each edge.
Science
Lay the 42" piece of 2" angle iron on top of the 7" wide (top) plate, centering it between the two end angles in the center of the sheet with the angle up, and weld it in place, with at least one inch welds on each edge 8 inches (20.3 cm) apart.
Wiki
"Let's put one of your sandals on each edge of the towel to anchor it down".
News & Media
While we do derive a fully resolved tree with high posterior probabilities on each edge (>90), showing only one intermediate posterior value of 70 (see also Shoup and Lewis [ 11]), up to now it is not clear how posterior probabilities relate to bootstrap values.
Science
The four switching topologies are given in Figures 3 and 4 where the weight on each edge is assumed to be one.
In this article, we define a structured tree T of n leaves as a fully resolved, rooted and timed phylogenetic tree in which every internal node represents a coalescent event and where every point on each edge of the tree is associated with exactly one type d drawn from a fixed set D of such types.
Science
On each edge the wave function is a solution of the one-dimensional equation.
Science
Pin at the corners and once on each edge.
News & Media
Pin it to the fabric in all the corners, and once on each edge.
News & Media
Expert writing Tips
Best practice
When describing a visual element or design, use "on each edge" to provide specific and clear details about the placement of features. This helps the reader visualize the described object accurately.
Common error
Avoid using "on each edge" when you mean "along the edge" or "near the edge." The phrase specifies that the element is precisely located on the edge itself, not merely in proximity to it. Always double-check if the positioning is accurate.
Source & Trust
75%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "on each edge" primarily functions as a prepositional phrase modifying a noun. It indicates a specific location or distribution of something in relation to the edges of an object or area. Ludwig's examples illustrate diverse contexts where this phrase clarifies precise positioning.
Frequent in
Science
68%
News & Media
14%
Wiki
5%
Less common in
Formal & Business
2%
Encyclopedias
1%
Reference
0%
Ludwig's WRAP-UP
In summary, the phrase "on each edge" is a grammatically correct and frequently used prepositional phrase that specifies the location of something directly on the edges of an object. As confirmed by Ludwig, its usage spans various contexts, particularly in science, news, and general descriptions. To ensure clarity and precision, it is essential to distinguish "on each edge" from similar phrases like "along each edge" and to avoid misinterpreting its scope. By following these guidelines, writers can effectively use "on each edge" to provide detailed and accurate information in their writing.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
along every edge
Replaces "on" with "along" and "each" with "every", emphasizing the continuous extension along the edge.
at each border
Substitutes "edge" with "border", highlighting a boundary or periphery.
on every side
Replaces "each edge" with "every side", focusing on the faces of an object rather than just its linear boundaries.
at all edges
Uses "all" instead of "each", broadening the focus to the collection of edges as a whole.
around each edge
Emphasizes the encompassing nature of the location relative to the edge.
upon each edge
A more formal synonym for "on each edge", indicating a similar spatial relationship.
over each edge
Suggests a covering or extension across each edge.
for each edge
Shifts the focus to something done or intended for each edge.
to every edge
Indicates a direction or relationship toward each edge.
by each edge
Implies a position adjacent to or near each edge.
FAQs
How can I use "on each edge" in a sentence?
You can use "on each edge" to describe the placement or presence of something along the edges of an object. For example, "There was a small crack on each edge of the glass."
What's the difference between "on each edge" and "along each edge"?
"On each edge" refers to a specific point or area located directly on the edge, while "along each edge" implies a continuous line or distribution along the entire length of the edge.
Is it correct to say "on every edge" instead of "on each edge"?
Yes, "on every edge" is a grammatically correct alternative to "on each edge". Both phrases are used to indicate something that appears or is located on all the edges of an object or area, but the first one may put more emphasis on the totality rather than on the edges as separate entities.
What are some alternatives to "on each edge" in technical writing?
In technical writing, you can use phrases like "at each border", "along every side", or "at all edges" for variety. The best choice depends on the specific context and the meaning you want to convey.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
75%
Authority and reliability
4.5/5
Expert rating
Real-world application tested