above formulas

USAGE SUMMARY

The phrase "above formulas" is correct and usable in written English.
It can be used to refer to formulas that have been mentioned or displayed earlier in the text. Example: "To solve the problem, we will apply the methods outlined in the above formulas."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

For this, we use the above formulas for the three cumulative distribution functions and see that.

Journal of Inequalities and Applications

Based on these above formulas (1), (2), (3) and (4), we can get the following inequality.

EURASIP Journal on Wireless Communications and Networking

All the steady-state probabilities in the preemptive mechanism are given approximately in above formulas.

EURASIP Journal on Wireless Communications and Networking

According to the above formulas and (5), the poisson model parameter is calculated.

Journal of Modern Power Systems and Clean Energy

We now use specification (9) to reduce the above formulas to more computationally tractable ones.

Journal of Statistical Distributions and Applications

With the above formulas (9) to (12), the gear pair efficiency is higher than 99%%.

European Transport Research Review

Results of the synthesis, calculated according to above formulas, are shown in Table 4.

Chemistry Central Journal

The above formulas provide the basic relationship between three priorities, so, and can be computed from one to the other.

EURASIP Journal on Advances in Signal Processing

Daqing General Machinery Plant designed a Secondary Balance Device as shown in Fig. 12 based on the above formulas.

Journal of Petroleum Exploration and Production Technology

All experimental data are sampled from above formulas (6) and (7), added with the Gaussian noise μ = 0, σ = 0.1.

EURASIP Journal on Wireless Communications and Networking

A proportional hazard rate model does not require this type of assumption and leaves time dependency of h(t) in the above formulas (3) and (4) unspecified.

Journal of Organization Design

Expert writing Tips

Best practice

When using "above formulas", ensure the formulas are actually positioned visually above the reference point in the text to avoid confusing the reader. If they are not, consider using alternatives like "previous formulas" or "formulas mentioned earlier".

Common error

Avoid using "above formulas" if the formulas are not physically located above the reference within the document. This can occur due to pagination, figure placement, or document formatting. Instead, opt for a temporally accurate phrase such as "previously mentioned formulas".

Linguistic Context

The phrase "above formulas" functions as a referential expression, specifically a determiner phrase modifying "formulas". It points the reader or listener back to a set of mathematical or logical expressions that have been previously introduced, as confirmed by Ludwig.

Expression frequency: Very common

Frequent in

Science

98%

Wiki

1%

Formal & Business

1%

Less common in

News & Media

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "above formulas" is a common and grammatically correct way to refer to previously mentioned formulas in a text. As Ludwig indicates, its usage is particularly prevalent within scientific and academic contexts. It's crucial to ensure that the formulas are actually located above the reference point to maintain clarity. Alternatives such as "preceding formulas" or "formulas mentioned earlier" can be used if the spatial arrangement is ambiguous. When writing, remember that clear referencing is essential for technical communication and "above formulas" is a valuable tool when used correctly.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

preceding formulas

Replaces "above" with "preceding", indicating a temporal sequence rather than a spatial relationship on the page.

aforementioned formulas

Uses a more formal term, "aforementioned", to point back to formulas previously discussed.

formulas mentioned earlier

Specifies the temporal aspect more explicitly, replacing "above" with "mentioned earlier".

formulas detailed above

Emphasizes that the formulas were not only mentioned but also described in some detail.

previously stated formulas

Replaces "above" with "previously stated", highlighting the act of stating the formulas.

formulas presented above

Focuses on the act of presenting the formulas, suitable in a context where the formulas are being introduced.

formulas in the previous section

Refers to the location of the formulas within the document structure rather than their relative position.

formulas outlined above

Suggests that the formulas were provided in a summary format or outline.

foregoing formulas

Uses "foregoing", a more archaic and formal synonym for "preceding".

the formulas shown earlier

Focuses on the visual aspect of the formulas, emphasizing that they were displayed.

FAQs

How do I use "above formulas" correctly in a sentence?

Use "above formulas" to refer to mathematical expressions that have been introduced earlier in your text and are positioned visually above the current point of reference. For instance, "According to the /s/above+formulas, we can calculate the result."

What are some alternatives to "above formulas"?

You can use alternatives like "preceding formulas", "aforementioned formulas", or "formulas mentioned earlier" depending on the context.

Is it always appropriate to use "above formulas" in academic writing?

While generally acceptable, ensure that the formulas are indeed located visually above the reference point. If not, phrases like "previously stated formulas" might be more accurate.

What's the difference between "above formulas" and "following formulas"?

"Above formulas" refers to formulas that appear earlier in the text, typically higher on the page. "Following formulas" would refer to formulas that are presented later in the text, after the current point of reference. Therefore, they indicate opposite spatial or sequential relationships.