following transformations

USAGE SUMMARY

The phrase "following transformations" is correct and usable in written English.
It can be used when referring to changes or modifications that come after a certain point or context, often in technical or analytical discussions. Example: "The results of the experiment were analyzed based on the following transformations: scaling, rotation, and translation."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

21 human-written examples

Specifically, the upper bound is obtained via the following transformations.

EURASIP Journal on Wireless Communications and Networking

According to the above steps, firstly, we introduce the following transformations: u ( x, t ) = u , ξ = x + c t, (49).

Boundary Value Problems

For comparison, we considered the following transformations: the DCT [12], the SDCT [2] the BAS-2013 [9], and the BC-2012 [3].

EURASIP Journal on Advances in Signal Processing

In 'Fig. 3' of their work, the authors show reconstructed compressed images according to the following transformations: T SFG, CB-2012, and BAS-2011.

EURASIP Journal on Advances in Signal Processing

As is usual in numerical work, the governing equations as well as the boundary conditions were non-dimensionalized with the help of the following transformations:.

Earth, Planets and Space

On applying the following transformations k = a x R a x 1 / 3, F = Ψ ̄ i α R a x 1 / 3, Θ = T ̄ T w - T ∞, (30).

Boundary Value Problems

Human-verified similar examples from authoritative sources

Similar Expressions

39 human-written examples

Thus it is necessary to show that the transformed cells can indeed cure diabetes following transformation.

Biochemical Journal

Then we get the following transformation formula.

Advances in Difference Equations

The auditory sparse feature representation is obtained via the following transformation: (17).

EURASIP Journal on Audio, Speech, and Music Processing

We have the following transformation from the image coordinate to the camera coordinate.

Visualization in Engineering

end{aligned} Applying Theorem 2 to both sides of the last identity, we therefore establish the following transformation formula.

Advances in Difference Equations

Expert writing Tips

Best practice

When detailing a series of steps in a scientific or technical paper, clearly list each of the "following transformations" with precise descriptions to ensure reproducibility.

Common error

Avoid using "following transformations" vaguely. Always specify what is being transformed and the nature of the transformations, to prevent ambiguity.

Linguistic Context

The phrase "following transformations" serves as an introductory phrase, primarily functioning to signal that a list or description of changes or modifications will be presented. As Ludwig AI indicates, this phrase is grammatically correct and usable in written English, particularly in technical 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, "following transformations" is a grammatically sound phrase that acts as a signpost to introduce a series of changes or modifications. It is predominantly used in formal and scientific writing to provide clarity and structure. As Ludwig AI highlights, this phrase is correct and most suitable for technical contexts. Related phrases include "subsequent conversions" and "ensuing modifications". When using this phrase, ensure you provide specific details about the transformations to avoid vagueness.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

subsequent conversions

Replaces "transformations" with "conversions", implying a change in form or state that occurs afterward.

ensuing modifications

Substitutes "following" with "ensuing" and "transformations" with "modifications", highlighting alterations that come after a certain point.

ensuing alterations

Uses "ensuing" to replace "following" and "alterations" instead of "transformations", simply changing the word choice.

consecutive alterations

Emphasizes the sequential aspect of the changes, using "consecutive" to replace "following" and "alterations" for "transformations".

resulting adaptations

Focuses on the outcome of the changes, using "resulting" and "adaptations" to suggest changes made in response to something.

succeeding variations

Highlights the order of changes, substituting "following" with "succeeding" and "transformations" with "variations".

downstream modifications

Uses "downstream" to indicate changes that occur later in a process or sequence, replacing "transformations" with "modifications".

later adjustments

Focuses on the timing of changes, with "later" replacing "following" and "adjustments" used instead of "transformations".

sequential shifts

Emphasizes the ordered nature of the changes, with "sequential" replacing "following" and "shifts" used for "transformations".

subsequent manipulations

Replaces "transformations" with "manipulations", implying a more active or controlled set of changes occurring afterward.

FAQs

How do I use "following transformations" in a sentence?

You typically use "following transformations" to introduce a list or description of changes that occur after a specific event or process. For example: "The data was analyzed using the following transformations: normalization, scaling, and logarithmic adjustment."

What are some alternatives to "following transformations"?

Alternatives include "subsequent conversions", "ensuing modifications", or "resulting adaptations", depending on the context.

Is it correct to say "the transformations that follow" instead of "following transformations"?

Yes, "the transformations that follow" is grammatically correct and conveys a similar meaning. However, "following transformations" is often more concise and direct, especially in technical writing.

What's the difference between "transformation" and "modification" in the context of "following transformations"?

"Transformation" generally implies a more significant change in form or structure, while "modification" suggests a more minor adjustment. Using "ensuing modifications" might be appropriate for small changes.