based on our formulation

USAGE SUMMARY

The phrase "based on our formulation" is correct and usable in written English.
It can be used when referring to conclusions, decisions, or analyses that are derived from a specific formulation or method you have established. Example: "The results of the experiment were interpreted based on our formulation, leading to new insights in the field."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

4 human-written examples

The resultant envelopes are also normalized according to Eq. (31) for comparison with the envelopes based on our formulation.

Earth, Planets and Space

Our result should find wide use by system designers and engineers to appropriately calibrate photonic crystal fibers based on our formulation devoid of complexity of the deeply involved numerical method.

Optik - International Journal for Light and Electron Optics

Based on our formulation we present a paradox.

Plosone

Thus, based on our formulation, we expect in the long run not to observe gang-based foraging when dominants are relatively ineffective at excluding subordinates from carcasses since the information center benefits to the typical juvenile common raven foraging behavior [14] prevail under these conditions.

Plosone

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

Based on our formulations in Cases 1 and 3, qequiv Probleft {E}_2=1Big|{E}_1=1right)times Probleft({E}_1=1right)+ Probleft {E}_2=1Big|{L}_1=1right)times Probleft {E}_2=1Big|{).

IZA Journal of Labor Economics

We also develop several heuristic models based on our formulations and find that even a heuristic based on an inferior model can surpass others based on superior models.

Chemical Engineering Science

Based on our theoretical formulation of PCA, we prove the existence of an asymptotic pattern of the PC plot when the population sizes become large, and derive the formula for numerically calculating this asymptotic pattern for given population parameters.

Plosone

Results of these experiments are shown in Figure 3. Based on our results, the formulations not only keep the strong synergistic activity of compound 3 and doxorubicin, but also, particularly in case of LIP-3, are able to show favorable activity as compared to the free compound.

BioMed Research International

For tested Steiner trees, the experimental results show that the 0 1 ILP formulation based on our proposed transformation-based timing analysis has 21.0% and 23.5% of the delay reduction of the critical path under the resource constraints for 10%and20%0% of the total wirelength of the original tree in reasonable CPU time on the average, respectively.

Integration, the VLSI Journal

Furthermore, a finite element formulation based on our mathematical model is presented.

Electrochimica Acta

Based on our results we propose a formulation for the optimum riblet size in airfoil considering the mean drag coefficient and chord length Reynolds number.

Renewable Energy

Expert writing Tips

Best practice

When using "based on our formulation", clearly define the formulation you are referencing to avoid ambiguity. Use this phrase to signal that the method or model is unique to your work.

Common error

Avoid starting multiple consecutive sentences with "based on our formulation". Vary your sentence structure to maintain reader engagement and avoid sounding repetitive.

Linguistic Context

The phrase "based on our formulation" functions as a prepositional phrase that modifies a statement or conclusion. It indicates the foundation or source upon which the statement is built. As Ludwig AI explains, it is correct and usable in written English.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "based on our formulation" is a grammatically sound and usable expression, primarily found in scientific and academic writing. According to Ludwig AI, it is correct to use this phrase in your writing. It serves to indicate that a particular conclusion, method, or result is derived from a specific framework or approach developed by the author. While not exceptionally common, its use is appropriate in formal contexts where precise attribution and methodological transparency are valued. When employing this phrase, ensure that the "formulation" is clearly defined to avoid ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

according to our formulation

Replaces "based on" with "according to", emphasizing adherence to a specific method.

following our formulation

Emphasizes a sequential application of the previously stated formulation.

using our formulation

Highlights the utilization of the formulation in a practical manner.

grounded in our formulation

Emphasizes the fundamental nature of the formulation as a basis.

derived from our formulation

Highlights the origin of something as coming from the specified formulation.

on the basis of our formulation

Formal rephrasing with a slightly more complex structure.

in light of our formulation

Indicates that the formulation provides understanding or context.

consistent with our formulation

Highlights compatibility and agreement with the specified formulation.

predicated on our formulation

More formal and emphasizes the formulation as a necessary condition.

stemming from our formulation

Similar to "derived from", but with a stronger sense of origination.

FAQs

How can I use "based on our formulation" in a sentence?

You can use "based on our formulation" to introduce results, conclusions, or methods that are derived from a specific approach you've developed. For example, "Based on our formulation, we predict a significant increase in efficiency."

What's a more concise way to say "based on our formulation"?

Depending on the context, you could use alternatives like "according to our formulation" or "using our formulation" to be more concise.

Is it appropriate to use "based on our formulation" in formal writing?

Yes, "based on our formulation" is suitable for formal writing, especially in scientific or academic contexts, as it clearly indicates the origin of a particular method or result. However, ensure the "formulation" itself is clearly defined.

What's the difference between "based on our formulation" and "inspired by our formulation"?

"Based on our formulation" means something is directly derived from your method. "Inspired by our formulation" means your method influenced the outcome, but the connection is less direct. Choose the phrasing that accurately reflects the relationship.