as we defined

USAGE SUMMARY

The phrase "as we defined" is correct and usable in written English.
It can be used when referring back to a definition or explanation that has been previously established in the text. Example: "The term 'sustainability' refers to the ability to meet our needs without compromising future generations, as we defined in the introduction."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

40 human-written examples

As we defined ROIs based on the GLM that highlighted the areas that showed significant activity regardless of duration (i.e., main effect of duration), it is possible that the voxels that showed a gradual increase in activity with increased durations were not captured (and thus not included in the calcarine ROI).

Nature

As we defined the OCIF as, we have (4).

EURASIP Journal on Wireless Communications and Networking

As we defined in Section 4.2, the difference between stable and unstable nodes is their moving range.

EURASIP Journal on Wireless Communications and Networking

For (tau _{2}=tau _{H},tau _{W}) or (tau _{V}), respectively, we particularly get the notions of regularity as we defined and studied in [12, 13, 14].

Mathematical Sciences

A special vectorization, as we defined in [18], of the matrix equation (1) is carried out and Problem 1 is turned into the least-squares unconstrained problem of a system of real linear equations.

Journal of Inequalities and Applications

The left panel shows that approximately 85% of the runs converge to full adoption (that is, as we defined, more than 90% of the population have adopted) within 20 iterations.

Journal of Innovation and Entrepreneurship

Human-verified similar examples from authoritative sources

Similar Expressions

20 human-written examples

It's all about the ecosystem; the "smart speaker market" doesn't matter and never will as we define it now.

TechCrunch

We start planning their eventual grand successes, as WE define them, very early in their life.

Huffington Post

Language skills as we define them are useful fictions.

The New York Times

Success, as we define it, will be an answer to the question".

The New Yorker

The method examines our objectives and priorities, as we define them.

Nature

Expert writing Tips

Best practice

Ensure the definition you are referencing is clear and accessible to the reader, either by providing it nearby or citing a source where it can be found. This improves readability and avoids ambiguity.

Common error

Avoid using "as we defined" if the definition wasn't explicitly stated or is only implied. This can confuse readers and weaken your argument. Instead, provide the definition directly or rephrase.

Linguistic Context

The phrase "as we defined" serves as a connector, linking a current statement to a prior definition. Ludwig AI shows that it functions to remind the reader of a term's specific meaning within the context of the document.

Expression frequency: Common

Frequent in

Science

79%

News & Media

11%

Formal & Business

5%

Less common in

Academia

2%

Encyclopedias

1%

Wiki

1%

Ludwig's WRAP-UP

In summary, "as we defined" is a common and grammatically sound phrase used to reference a prior definition, primarily in scientific and formal contexts. As Ludwig AI confirms, this ensures clarity and avoids ambiguity. When using this phrase, ensure the referenced definition is easily accessible to your reader. Alternatives include "as previously defined" or "according to our definition". Avoiding its use when the definition is unclear will maintain the integrity and clarity of your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as previously defined

Replaces "we" with "previously", emphasizing the prior definition without specifying who defined it.

according to our definition

Highlights that the definition is specific to the authors or context.

by our definition

A more concise way of indicating that something is defined according to a specific definition.

in our previous definition

Similar to "according to our definition", but emphasizes the definition's place in prior work.

as mentioned earlier

Focuses on the act of mentioning something before, suitable when a precise definition isn't necessary.

as stated above

Directly refers to a statement made earlier in the text, indicating a clear, concise definition.

consistent with our definition

Emphasizes that the current usage aligns with a previously stated definition.

pursuant to our definition

More formal way to specify adherence to a particular definition.

as characterized earlier

Suitable when referring back to a broader characterization rather than a strict definition.

in accordance with our definition

A more formal phrasing to show agreement with a certain definition.

FAQs

How can I use "as we defined" in a sentence?

You can use "as we defined" to refer back to a definition that you have previously provided in your writing. For example: "A market failure occurs when resources are not allocated efficiently, "as we defined" in Chapter 2."

What is a good alternative to "as we defined"?

Some alternatives to "as we defined" include "as previously defined", "as mentioned earlier", or "according to our definition". The best choice depends on the specific context and the desired level of formality.

Is it appropriate to use "as we defined" in formal writing?

Yes, "as we defined" is appropriate for formal writing, especially in academic or technical contexts where precise definitions are important. However, ensure that the definition is clearly stated or easily accessible to the reader.

When should I avoid using "as we defined"?

Avoid using "as we defined" if the definition you are referencing is vague, implied, or not clearly stated within the same document. In such cases, it is better to restate the definition or use a more general phrase like "as explained before".