modeled by calculating

USAGE SUMMARY

The phrase "modeled by calculating" is correct and usable in written English.
It can be used in contexts where a model or representation is created based on calculations or numerical data. Example: "The results were modeled by calculating the average temperature over the past decade."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

The propagation of matrix cracks was modeled by calculating the stress concentration factor at the matrix crack tip in a fiber bridged center matrix crack.

Acta Materialia

The radiative blocking effect of MWCNTs was quantitatively modeled by calculating the IR absorption index of the unfoamed nanocomposites and calculating the IR extinction coefficient of the foamed nanocomposites.

Carbon

The effect of the implicit bilayer is modeled by calculating the solvation energy of CG beads, (6) U s o l v (x, y ) = g i S (x ; ϕ x, ψ x ) [ 1 − S (y ; ϕ y, ψ y ) ], where g i is the transfer free energy of bead i and S x, ϕ, ψ) is a switching function that defines the membrane region, (7) S (x ; ϕ, ψ ) = 1 4 [ 1 + tanh (x − ϕ 0.25 σ ) ]    [ 1 − tanh (x − ψ 0.25 σ ) ].

eLife

Annular backflow was modeled by calculating velocity profiles and determining the normalized net flow magnitude.

Polymer

In order to better understand the effect of background traffic, it must be modeled by calculating spatial user and traffic distributions for LTE networks with time-varying usage intensities.

EURASIP Journal on Wireless Communications and Networking

The network of diseases was later modeled by calculating disease linkages in terms of shortest paths between pairs of disease proteins.

BioMed Research International

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

The damping of multilayer beams could be accurately modelled by calculating the distribution of strain energies in the structure with the help of finite elements and knowledge of the loss factors of the individual layers (as a function of frequency).

Composites Part B: Engineering

Bud burst in trees can be accurately modelled by calculating the temperature sum or 'day-degrees' above a certain threshold temperature (typically +1°C to +5°C), after the release from dormancy [ 11].

BMC Plant Biology

We prove the consistency of our models by calculating their partition function and obtaining the correct gauge theory spectrum.

Nuclear Physics B

Furthermore, an external test set validates the reliability of the predicted model by calculating r2pred i.e.0.787 and 0.571 for CoMFA and CoMSIA model, respectively.

European Journal of Pharmaceutical Sciences

We performed extensive cross-checks of the nucleation rates obtained with the model by calculating the nucleation rates independently in two additional ways: (1) direct measurements at 1.8 nm using the scanning PSM and (2) CPC2.5 measurements that are stepwise-corrected to 1.7-nm threshold size.

Nature

Expert writing Tips

Best practice

When using "modeled by calculating", ensure that the calculations are clearly defined and relevant to the model's purpose. Provide details about the formulas, algorithms, or data used in the calculations to enhance transparency and reproducibility.

Common error

Avoid implying that a model is perfectly accurate simply because it's "modeled by calculating". Acknowledge potential limitations, assumptions, and sources of error in the calculations. Consider adding a sensitivity analysis to improve your model.

Linguistic Context

The phrase "modeled by calculating" functions as a descriptor, specifying the method used to create a model. According to Ludwig AI, the structure indicates that calculations are integral to the modeling process, clarifying how the model was developed.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, the phrase "modeled by calculating" describes a process where a model is constructed through computational methods. Ludwig AI confirms it is grammatically correct and most frequently appears in scientific contexts. While the phrase is accurate, remember to clearly define the calculations used and acknowledge any limitations of the model. Alternatives such as "simulated via computation" or "predicted through calculation" may offer nuanced variations depending on the desired emphasis. Be sure to present a balanced and thorough description of your model to ensure clarity and credibility.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

simulated via computation

Replaces "modeled" with "simulated" and "calculating" with "computation", emphasizing the computational aspect of the modeling.

predicted through calculation

Focuses on the predictive aspect of the model, using "predicted" instead of "modeled".

represented mathematically

Highlights the mathematical representation aspect of the model, which could involve calculation.

estimated by computation

Uses "estimated" to suggest an approximation, which is calculated. It emphasizes that the result is not exact.

assessed using computational methods

Focuses on the assessment aspect with the use of computational methods to perform the modeling.

determined via numerical analysis

Specifies that the determination is done through numerical analysis.

derived through a computational model

Emphasizes the derivation and the computational aspect of the model.

formulated using calculations

Focuses on the formulation of the model, achieved through calculations.

quantified through computation

Highlights that computation is being used for quantification of the model.

evaluated with computational techniques

Focuses on the evaluation of the model using computational techniques to perform the modeling.

FAQs

How can I use "modeled by calculating" in a sentence?

You can use "modeled by calculating" to describe how a model is created or simulated through computations. For example: "The spread of the disease was "modeled by calculating" the infection rate based on population density".

What are some alternatives to "modeled by calculating"?

Some alternatives include "simulated via computation", "predicted through calculation", or "represented mathematically", depending on the specific context.

Is it always appropriate to use "modeled by calculating" in scientific writing?

While generally accepted, ensure the calculation methods are appropriate and clearly described. Consider whether alternatives like "estimated by computation" might be more accurate if the model relies on approximations.

What's the difference between "modeled by calculating" and "analyzed by calculating"?

"Modeled by calculating" suggests the creation of a model based on computations, whereas "analyzed by calculating" implies that an existing model or data is being examined through calculations. Analysis focuses on understanding, modeling on representation.