can be derived as

USAGE SUMMARY

"can be derived as" is a correct phrase and can be used in written English.
It is often used in formal or technical writing to indicate that something can be deduced or obtained from a certain source or process. Here is an example: "The formula for calculating the speed of light can be derived as c = λf, where c is the speed of light, λ is the wavelength, and f is the frequency."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

Additional income can be derived as well by raising rents and fees, along with reducing debt.

The New York Times

Given the above description, the relation can be derived as follow.

Journal of Modern Power Systems and Clean Energy

As analyzed in Section 3, BER performance of these UWB pulses can be derived as is shown in Figure 8.

EURASIP Journal on Wireless Communications and Networking

However, as we have samples representing pure cell types, they can be derived as well (see Supplementary Material for details).

Bioinformatics

Thus, the time derivative of the Lyapunov function can be derived as follows.

BMC Genomics

The time derivative of along the trajectories of system (2.5) can be derived as (34).

Advances in Difference Equations

Moreover, given suitable axioms, standard postulates for natural-number arithmetic can be derived as theorems within set theory.

Encyclopedia Britannica

The complete model can be derived as follows.

IZA Journal of Development and Migration

The distribution of Chi-p can be derived as follows.

Journal of Statistical Distributions and Applications

The auxiliary function can be derived as (7).

EURASIP Journal on Advances in Signal Processing

The source vector can be derived as (12).

EURASIP Journal on Audio, Speech, and Music Processing

Expert writing Tips

Best practice

When writing technical documentation, follow each instance of "can be derived as" with the specific steps or equations that demonstrate the derivation.

Common error

Ensure that the steps leading to the derivation are clear and explicit; avoid assuming prior knowledge that the reader might not possess. If the derivation is complex, consider including it in an appendix.

Linguistic Context

The phrase "can be derived as" functions as a connector, indicating that a particular result, formula, or conclusion logically follows from a preceding set of statements, equations, or data. It emphasizes the process of deduction or calculation. As confirmed by Ludwig AI, the phrase is grammatically correct and fit for formal settings.

Expression frequency: Very common

Frequent in

Science

75%

News & Media

15%

Encyclopedias

10%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "can be derived as" is a grammatically sound and frequently used expression, particularly in scientific and formal contexts. As confirmed by Ludwig AI, it serves to indicate a clear, logical progression from one statement or equation to another. While alternatives like "can be obtained from" or "can be calculated from" exist, "can be derived as" specifically emphasizes the process of logical or mathematical deduction. When employing this phrase, ensure that the derivation steps are lucid to prevent ambiguity. This thorough analysis should equip writers with a refined understanding of the expression’s usage and implications.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

can be obtained from

Emphasizes the source from which something is acquired or calculated.

can be calculated from

Focuses on the mathematical or logical process of finding a value.

can be deduced from

Highlights the logical reasoning used to arrive at a conclusion.

can be inferred from

Suggests a conclusion drawn from evidence or reasoning, often with less certainty.

can be determined by

Indicates a method or process used to find or establish something.

can be ascertained from

Implies a careful and thorough investigation to discover something.

can be established through

Focuses on the method or process used to confirm or prove something.

can be formulated as

Highlights the creation of a specific expression or equation.

can be expressed as

Focuses on rewriting in other terms

can be computed using

Specifies tools or methods for evaluating something computationally.

FAQs

How do I use "can be derived as" in a sentence?

Use "can be derived as" to show that something follows logically or mathematically from something else. For example, "The formula for the area of a circle can be derived as A = πr² from basic geometric principles."

What are some alternatives to "can be derived as"?

You can use alternatives like "can be obtained from", "can be calculated from", or "can be deduced from" depending on the specific context.

Is it appropriate to use "can be derived as" in formal writing?

Yes, "can be derived as" is suitable for formal writing, especially in academic and scientific contexts. It clearly indicates a logical or mathematical relationship.

What's the difference between "can be derived as" and "can be inferred from"?

"Can be derived as" implies a direct and often mathematical or logical deduction. "Can be inferred from" suggests a conclusion drawn from evidence or reasoning, which may not be as direct or certain.