as we illustrated

USAGE SUMMARY

The phrase "as we illustrated" is correct and usable in written English.
It can be used to refer back to examples or explanations provided earlier in the text. Example: "The results of the experiment were significant, as we illustrated in the previous section."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

13 human-written examples

In this recession, as we illustrated last week, the drop in employment has been particularly severe.

Forbes

We divided the beam into six equal parts as we illustrated in Figure 3.

Journal of Theoretical and Applied Physics

The selection of the data representation model is of utmost significance as we illustrated in the example given in section case 2: the interference sort and search problem.

Human-centric Computing and Information Sciences

As we illustrated in the Figure 2, each node executes the distributed RPCD algorithm in advance before a time slot begins.

EURASIP Journal on Wireless Communications and Networking

In summary, as we illustrated by the example of the discussion in Section 'The challenge of global warming in a Quintuple Helix Mode'five-steptep flow analysis'), it should be clear that all systems in a Quintuple Helix perform a pivotal function, influencing each other.

Journal of Innovation and Entrepreneurship

The influence of the procedure can be tested separately for each marker as we illustrated.

Arthritis Research and Therapy

Human-verified similar examples from authoritative sources

Similar Expressions

47 human-written examples

These willing providers, as we illustrate, need not be large multinational corporations with an interest in nothing but profit.

The Guardian

Peace is not just a transitory phenomenon disrupted by war, but a recurring feature of human life with a rich history, as we illustrate through our "timeline" of peace events, actions and ideas.

The Guardian - Opinion

As we illustrate, there is much optimism that these hybridizing efforts will produce a successful cross.

Research Policy

This yields a nested sequence of spaces, as we illustrate in Figure 1(a).

EPJ Data Science

As we illustrate in Fig. 3, both input and output data are stored internally in data objects, as single precision floating point.

Advanced Structural and Chemical Imaging

Expert writing Tips

Best practice

Use "as we illustrated" to smoothly guide the reader back to a specific example or explanation you've already provided, ensuring clarity and reinforcing your point.

Common error

While useful, repeatedly starting sentences with "as we illustrated" can become monotonous. Vary your phrasing with alternatives like "as demonstrated" or "for example" to maintain reader engagement.

Linguistic Context

The phrase "as we illustrated" functions as an introductory element, signaling a reference to a prior example or explanation within the text. Ludwig AI confirms its common usage in providing context and reinforcing arguments.

Expression frequency: Common

Frequent in

Science

76%

News & Media

24%

Formal & Business

0%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "as we illustrated" is a versatile introductory phrase used to refer back to previous examples or explanations within a text. Ludwig AI confirms its grammatical correctness and usefulness in various contexts, especially in science and news media. While common, varying your phrasing can prevent monotony. Consider alternatives like "as we demonstrated" or "for example" to maintain reader engagement. Using this phrase effectively enhances clarity and cohesion in your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as we demonstrated

Replaces "illustrated" with "demonstrated", implying a more direct proof or showing.

as we showed

Substitutes "illustrated" with "showed", suggesting a straightforward presentation of information.

as previously illustrated

Adds "previously" for emphasis on prior presentation.

as exemplified above

Replaces the entire phrase with a direct reference to a prior example.

as can be seen in

Offers an alternative to direct illustration, focusing on observation.

for instance, as shown earlier

Combines an introductory phrase with a reference to a prior demonstration.

in the manner we depicted

Replaces "illustrated" with "depicted", adding a descriptive element.

to illustrate, as mentioned

Directly states the intent to illustrate, connecting it to a previous mention.

as evinced before

Uses "evinced" for a more formal tone, indicating clear evidence.

corresponding to our previous explanation

Focuses on correspondence to a past explanation.

FAQs

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

"As we illustrated" is used to refer back to a previous example or explanation. For instance, "As we illustrated in the previous section, the data supports our hypothesis."

What can I say instead of "as we illustrated"?

You can use alternatives like "as we demonstrated", "as we showed", or "as previously illustrated" depending on the context.

Is it redundant to say "as we illustrated previously"?

While not grammatically incorrect, "as we illustrated previously" can be slightly redundant since "illustrated" implies that it has already happened. Using just "as we illustrated" is generally more concise.

What's the difference between "as we illustrated" and "as we will illustrate"?

"As we illustrated" refers to something already shown, while "as we will illustrate" indicates that an example or explanation is forthcoming. The former looks back, the latter looks forward.