further reformulated

USAGE SUMMARY

The phrase "further reformulated" is correct and usable in written English.
It can be used when discussing the process of modifying or adjusting something that has already been formulated or established, often in a more refined or detailed manner. Example: "The initial proposal was well-received, but after feedback, it was further reformulated to better address the concerns raised."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

9 human-written examples

These constrained optimization problems are further reformulated to unconstrained optimization problems by a vector space approach.

Digital Signal Processing

The relaxed sub-problem for location and service allocation decisions is further reformulated into a second-order conic program.

Transportation Research Part E: Logistics and Transportation Review

Estimation of I0 can be further reformulated in terms of testing the hypotheses β1= 0,…,βp="0.

Journal of Statistical Planning and Inference

The resulting model is formulated as a two-stage stochastic mixed-integer bilevel nonlinear program, which can be further reformulated into a tractable single-level stochastic mixed-integer linear program by applying KKT conditions and Glover's linearization method.

Computers & Chemical Engineering

Using the Kronecker product, the high-cost MUSIC function is further reformulated as an eigenvector-based optimization problem, and a new low-complexity cost function with spatial aliasing is derived.

EURASIP Journal on Advances in Signal Processing

The bi-level subproblem which identifies the worst case situations is recasted into a single-level bilinear problem and then further reformulated an MILP problem via the extreme point method.

Journal of Modern Power Systems and Clean Energy

Human-verified similar examples from authoritative sources

Similar Expressions

51 human-written examples

Motivated by [14], in this paper, we further reformulate the GNEP as a MPCC.

Journal of Inequalities and Applications

Using the setting, we further reformulate the scheme of the method further by removing certain unnecessary technicalities so that both the setting and the overall analysis are simplified.

Boundary Value Problems

So, we can further reformulate (8) into the following separable form: min { p 1 ( x ) + p 2 ( y ) | A x − y = 0, x ∈ X, y ∈ Y }. (9).

Fixed Point Theory and Applications

To further reformulate the above problem, we invoke a new variable t n, l ≤ γ n, l w l = p k, n l h k l ∑ j ≠ l p k j, n j g k j l + σ 2 w l.

EURASIP Journal on Wireless Communications and Networking

Further, Rasmussen reformulated technical reliability using systems language to enable a proper human-machine fit.

Applied Ergonomics

Expert writing Tips

Best practice

When using "further reformulated", ensure that the initial formulation and its subsequent changes are clearly defined for context. This helps avoid ambiguity and highlights the evolution of the idea or process.

Common error

Avoid using "further reformulated" excessively in a single document. Overuse can make the writing sound repetitive. Instead, vary your language by using synonyms like "subsequently modified" or "refined further" to maintain reader engagement.

Linguistic Context

The phrase "further reformulated" functions as a verb phrase, where "further" acts as an adverb modifying the verb "reformulated". It indicates that an item or concept has undergone an additional iteration of changes, as supported by Ludwig AI.

Expression frequency: Uncommon

Frequent in

Science

75%

News & Media

15%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "further reformulated" is used to describe iterative revisions, predominantly appearing in scientific and formal contexts. Ludwig AI confirms that this phrase is grammatically correct and conveys that a subject has been modified more than once. While "reformulated" suggests a change, "further" emphasizes that this is not the initial modification. When using this phrase, ensure the context makes it clear what was initially formulated and how it has been subsequently changed to avoid ambiguity. To prevent redundancy in your writing, consider using synonyms such as "additionally revised" or "subsequently modified".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

additionally revised

Focuses on the act of revising in addition to previous changes.

subsequently modified

Emphasizes the temporal sequence of modification after an initial change.

refined further

Highlights the act of making something more precise or polished through additional changes.

additionally adapted

Focuses on the act of adapting in addition to previous changes.

revised again

Simplifies the phrase to emphasize repeated revision.

re-engineered

Implies a more thorough or structural change compared to simple reformulation.

revisited and modified

Highlights a second look and subsequent alteration.

incrementally adjusted

Emphasizes the small, step-by-step nature of the changes.

iteratively refined

Stresses the repetitive and cyclical nature of the refinement process.

advanced and revised

Highlights progress and changes made.

FAQs

What does "further reformulated" mean?

"Further reformulated" means that something has been changed or revised again after a previous formulation or modification. It implies an iterative process of refinement.

How can I use "further reformulated" in a sentence?

You can use "further reformulated" to describe how a plan, strategy, or product has been adjusted multiple times. For example: "The initial strategy was effective, but it was "further reformulated" to address new challenges".

What are some alternatives to "further reformulated"?

Alternatives to "further reformulated" include "additionally revised", "subsequently modified", or "refined further". The best choice depends on the specific context and the nuance you want to convey.

Is it redundant to say "further reformulated"?

While "reformulated" already implies a change, "further reformulated" emphasizes that this is not the first time the subject has been changed. Whether it's redundant depends on context; if the previous formulation isn't clear, "further reformulated" can add clarity.