each of the representations

USAGE SUMMARY

The phrase "each of the representations" is correct and usable in written English.
It can be used when referring to individual items within a group of representations, emphasizing each one separately. Example: "Each of the representations in the report highlights a different aspect of the data."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

Three different sets of images were used for obtaining the parameters and testing each of the representations, in order to avoid over-fitting.

EURASIP Journal on Advances in Signal Processing

This kind of analysis not only allows us to study how each of the representations behaves using the original images (naturally containing some noise due to the imaging devices), but also gives an insight of how robust each of the representations actually is: those representations that produce similar results with or without induced errors can be regarded to be robust.

EURASIP Journal on Advances in Signal Processing

In Table 7, each of the representations is ranked with respect to (a) the original images and (b) the combined illumination errors and noise types, while Table 8 combines the aforementioned results into a single ranking.

EURASIP Journal on Advances in Signal Processing

Accuracy and AUC, averaged over 27 datasets, as obtained by random forest models with access to the each of the representations are presented in Table 4.

BMC Medical Informatics and Decision Making

To compare these representations and assess their ability to correctly inform public health policies, such as targeted vaccination strategies, we used each of the representations to simulate the spread of an infectious disease, modeled by an SEIR model, and we compared the results with the outcome of simulations based on the most detailed representation (DYN), which we regard as a gold standard.

BMC Infectious Diseases

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

Here, we rank each of the representation spaces in order to gain a better insight on the robustness and accuracy of each representation.

EURASIP Journal on Advances in Signal Processing

In other words, each component of the representation is a linear combination of the original variables.

Neural Networks

Genetic Algorithms (GAs) [ 18] have been employed for building selectors where each allele of the representation corresponds to one gene and its state denotes whether the gene is selected or not [ 19].

BioData Mining

In the following, we show how each of the basic representations (1st column in Appendix Appendix 1, Table 2) has benefited, or worsened, by being combined with different representations.

EURASIP Journal on Advances in Signal Processing

Is it more beneficial for students when teachers refer to each of the linked representations multi-modally?

Cognitive Research: Principles and Implications

This model specification yielded a lower BIC than each of the spline representations.

Environmental Health Perspectives

Expert writing Tips

Best practice

When using "each of the representations", ensure that the context clearly defines what 'representations' refers to, avoiding ambiguity for the reader.

Common error

Avoid using "each of the representations" when discussing a single, unified representation. Ensure there are multiple distinct representations being referenced.

Linguistic Context

The phrase "each of the representations" functions as a determiner phrase, specifying that the subsequent discussion pertains to individual items within a defined set of representations. Ludwig examples show its usage in scientific and academic contexts.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, "each of the representations" is a grammatically sound phrase primarily used in formal and scientific writing to emphasize the individual analysis or consideration of multiple representations. Ludwig AI confirms its correct usage in various contexts, particularly within scientific publications. While the phrase is relatively uncommon, understanding its specific function allows for precise and effective communication, especially when discussing distinct elements within a larger set. Consider "every representation" or "each representation" for shorter alternatives if the context allows.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

each individual representation

Specifies that the representations are considered separately and distinctly.

each of these representations

Specifies the representations being referred to with the pronoun "these".

every one of the representations

Adds emphasis by including "one", highlighting the individual nature of each representation.

each distinct representation

Focuses the uniqueness of the representations.

each representation

Simplifies the phrase by removing "of the", making it slightly more concise.

each separate representation

Highlights the individual and non-overlapping nature of the representations.

every single representation

Adds emphasis by including the word "single", highlighting the distinctiveness of each representation.

every representation

Focuses on each representation individually but omits the collective aspect.

all the representations individually

Shifts the focus to the individual consideration of all representations.

the representations, each considered separately

Expresses the concept by explicitly stating that each representation is considered apart from the others.

FAQs

How can I use "each of the representations" in a sentence?

You can use "each of the representations" to emphasize that you are considering individual representations within a set, as in "Each of the representations was analyzed for its strengths and weaknesses".

What's a simple substitute for "each of the representations"?

Alternatives include "every representation" or "each representation" which are more concise.

In what contexts is it best to use "each of the representations"?

This phrase is suitable in formal and scientific contexts where you need to emphasize individual analysis or consideration of multiple representations.

Is "each of the representations" interchangeable with "all of the representations"?

No, "each of the representations" focuses on individual items, while "all of the representations" refers to the entire group collectively. Choose based on whether you need to discuss them separately or as a whole.