where each element

USAGE SUMMARY

The phrase "where each element" is correct and usable in written English.
It can be used in contexts where you are describing a situation or condition involving individual components or parts of a whole. Example: "In the data set, where each element represents a unique observation, we can analyze the trends more effectively."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

Left, a geomagic 3x3 square where each element is a decomino – a polyomino made up of 10 square units.

The Guardian

Right, a geomagic 3x3 square where each element is a polyomino, ranging in size from one to nine.

The Guardian

The MAT file contains a cell array with 79 elements, where each element corresponds to a study ID number.

Nature

For the inductor characterization, a lumped element model is used, where each element value is evaluated through physics based equations.

Integration, the VLSI Journal

This also extends to telling visitors exactly where each element came from – the shop he bought it from and how much it cost.

The Guardian - Arts

The crack is discretized into constant-strength displacement discontinuity elements, where each element represents a slice of a cone.

International Journal of Solids and Structures

Our approach allows the possibility of using strings, where each element is a vector rather than just a symbol.

Robotics and Autonomous Systems

Here pairs must be a list of pairs, that is, a list where each element is itself a list of two elements.

Massachusetts Institute of Technology

The unit cell of the braided composite is modeled as a series of shell elements, where each element is modeled as a laminated composite.

Composites Part A: Applied Science and Manufacturing

Hats off, though, to the editors above all, for constructing a volume where each element reinforces every other, often by contradicting it, so that the whole vast book is more exciting than even its most impressive part.

The Guardian - Books

where each element of matrices A and B is defined as a sub-matrix.

Journal of Cloud Computing: Advances, Systems and Applications

Expert writing Tips

Best practice

When using "where each element", ensure that the context clearly defines what constitutes an 'element'. This provides clarity and avoids ambiguity.

Common error

Avoid using "where each element" if the elements themselves are not clearly distinct or individually relevant to the statement. This can lead to confusion and weaken the overall message.

Linguistic Context

The phrase "where each element" functions as a relative clause, introducing additional information or conditions about individual elements within a larger structure. Ludwig's examples demonstrate this function across diverse contexts.

Expression frequency: Very common

Frequent in

Science

66%

News & Media

15%

Academia

3%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "where each element" functions as a relative clause, typically found in formal and scientific contexts. It's used to specify conditions or characteristics applicable to individual components within a defined structure. Ludwig AI confirms its grammatical correctness and widespread use across diverse domains. When using this phrase, clarity in defining what constitutes an 'element' is crucial. Alternatives like "in which every component" or "with each item" can offer nuanced variations. Due to its prevalence in technical and academic writing, this phrase is a valuable tool for precise communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

in which every component

Focuses on the components with 'in which', specifying a condition or characteristic related to each one.

where every part

Similar to the original phrase but emphasizes 'part' instead of 'element'.

with each item

Highlights the inclusion of 'each item' specifying a feature or condition.

for every member

This alternative phrase focuses on the individual 'member' within a broader group.

in which each item

Switches to 'in which' offering a varied sentence structure while retaining the meaning of 'each item'.

wherein each segment

Uses a more formal tone with 'wherein', while segment replaces 'element'.

with each portion

Emphasizes 'portion' rather than 'element', altering the specific nuance of the phrase.

under which each aspect

This phrase introduces a conditional aspect, differing from the original's direct specification.

as each unit

Implies a process or progression focusing on 'unit' as the key component.

by means of each constituent

Alters the structure to indicate a method or process involving 'each constituent'.

FAQs

How can I use "where each element" in a sentence?

Use "where each element" to specify a condition or characteristic that applies individually to every element within a defined set or structure. For example, "Consider a matrix, "where each element" represents a data point."

What are some alternatives to "where each element"?

You can use alternatives such as "in which every component", "for every member", or "with each item depending on the specific context and nuance you want to convey.

Is it correct to say "where each element is"?

Yes, the phrase "where each element is" is grammatically sound. It's often followed by a description or condition applying to each element. For example, "Define a list, "where each element" is a string."

What is the difference between "where each element" and "where all elements"?

"Where each element" emphasizes individual properties or conditions for every single element. "Where all elements" focuses on a collective property or condition that applies to the entire set of elements as a whole. For example, "a vector "where each element" is non-negative" versus "a vector "where all elements" sum to one."