as the formulas

USAGE SUMMARY

The phrase "as the formulas" is correct and usable in written English.
It can be used when referring to specific formulas in a context where comparisons or explanations are being made. Example: "The results of the experiment were consistent with the predictions, as the formulas indicated."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Academia

Human-verified examples from authoritative sources

Exact Expressions

11 human-written examples

But by mid-July of that dry summer, parks officials realized the fires would not burn out as the formulas had predicted and indeed were spreading at an astonishing rate.

The New York Times

Those of his results that could be simply expressed such as the formulas for the surface area and volume of a sphere became mathematical commonplaces, and one of the bounds he established for π, 22/7, was adopted as the usual approximation to it in antiquity and the Middle Ages.

Britannica

At first glance this formula seems as ad hoc as the formulas mentioned before, but Professor Steven J. Miller has written a which gives a theoretical derivation of this formula assuming that the runs for each team follow a Weibull distribution.

Cornell University

Calculate as the formulas mentioned above, we obtain, Obviously,,.

Advances in Difference Equations

Subsequently, Section 3 presents the models and estimation techniques as well as the formulas used for prediction.

European Transport Research Review

end{aligned} (3.19)   (iii) If α is a negative even (or non-integer), the results are the same as the formulas of Theorem  3.1 iii) (or (i)).  .

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

49 human-written examples

Old as the formula is, it's sturdy and travels well.

The New York Times - Arts

The procedure is nearly as straightforward as the formula: Simmer the vegetables in the stock until they're quite tender.

The New York Times - Food

During the time of the Frankish kings, important collections were made, such as the Formulae Marculfi (early 8th century) and the Formulae imperiales (828 832).

Britannica

Washington had sought to lower the sum by the same percentage as the formula negotiated by the Clinton administration for United Nations payments.

The New York Times

Moreover, George Bush's Senate allies once denounced the filibuster as the "formula for tyranny by the minority" and downplayed reconciliation as simply the "constitutional option".

The Guardian - Opinion

Expert writing Tips

Best practice

When using "as the formulas", ensure the formulas are clearly defined or referenced within the context to avoid ambiguity.

Common error

Avoid implying direct causation solely based on "as the formulas"; ensure other factors are considered and clearly articulated. The phrase indicates correlation or consistency, not necessarily causation.

Linguistic Context

The phrase "as the formulas" functions as a prepositional phrase, often used adverbially to modify a verb or clause, indicating the basis or rationale behind a statement. This is supported by Ludwig's examples, where the phrase links observations with mathematical or scientific principles.

Expression frequency: Common

Frequent in

Science

55%

News & Media

18%

Academia

9%

Less common in

Encyclopedias

9%

Wiki

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, the phrase "as the formulas" is a grammatically correct and commonly used prepositional phrase, primarily found in scientific and formal contexts. According to Ludwig AI, it serves to provide a basis or justification for a statement by linking it to mathematical or scientific principles. While alternatives like "according to the formulas" exist, "as the formulas" maintains a formal tone suitable for academic or technical discourse. Remember to ensure that the formulas referenced are clearly defined to avoid ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

according to the formulas

Focuses on adherence to what the formulas dictate.

consistent with the formulas

Highlights agreement or alignment with the formulas.

in line with the formulas

Emphasizes conformity to the principles outlined by the formulas.

as the equations indicate

Uses a different term ("equations") but maintains the same comparative meaning.

based on the formulas

Shows a foundation or dependence on the formulas.

by the formulas

A shorter way of saying "according to the formulas".

following the formulas

Indicates a sequence or order of operations based on the formulas.

in accordance with the formulas

A more formal version of "according to the formulas".

as the models predict

Substitutes "formulas" with "models", maintaining the predictive aspect.

reflecting the formulas

Implies that something mirrors or demonstrates the principles of the formulas.

FAQs

How can I use "as the formulas" in a sentence?

You can use "as the formulas" to show that a result or outcome aligns with what mathematical or scientific equations predict. For example, "The experimental results matched the theoretical predictions, as the formulas showed".

What can I say instead of "as the formulas"?

You can use alternatives like "according to the formulas", "consistent with the formulas", or "based on the formulas" depending on the context.

Is it correct to say "like the formulas" instead of "as the formulas"?

While "like the formulas" isn't grammatically incorrect, "as the formulas" is generally preferred in formal and scientific writing to indicate a direct relationship or confirmation by the equations.

What's the difference between "as the formulas suggest" and "as the formulas prove"?

"As the formulas suggest" implies that the formulas hint at or indicate a possibility, whereas "as the formulas prove" indicates a definitive confirmation. Suggest is weaker and less certain than prove.