an ordered system of

USAGE SUMMARY

The phrase "an ordered system of" is correct and usable in written English.
It can be used when describing a structured arrangement or organization of elements within a particular context, such as science, mathematics, or social systems. Example: "The research focused on an ordered system of data that allowed for more accurate predictions."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

10 human-written examples

( w i ) i ∈ I is an ordered system of r.t.

Fixed Point Theory and Applications

If w i ≤ w j for all i < j, then ( w i ) i ∈ I is an ordered system of r.t.

Fixed Point Theory and Applications

But it is a contradiction, because ( w ¯ i m ) i ∈ I is an ordered system of r.t.

Fixed Point Theory and Applications

For all i, j ∈ I, i < j, one has w i < w j, i.e., ( w i ) i ∈ I is an ordered system of r.t.

Fixed Point Theory and Applications

Let I be a well-ordered set without the last element and ( w i ) i ∈ I be an ordered system of r.t.

Fixed Point Theory and Applications

According to [[3], Th. 4.1], w ¯ i m < w ¯ j m if i < j, which means that ( w ¯ i m ) i ∈ I is an ordered system of r.t.

Fixed Point Theory and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

50 human-written examples

Entropy, as a concept that a value would be reasonable characterized from a series in an ordered system, can be described as kind of index of regularity or the degree of randomness.

BioMed Research International

I don't mean by that some kind of ordered system of spirituality.

The Guardian

Peter hoped to accomplish this by replacing the numerous haphazard prikazy (administrative departments) with a coherent system of functional and well-ordered colleges (their number fluctuating around 12 in the course of the century).

Encyclopedia Britannica

It is standard to decompose the universe of a linearly ordered system variable into a certain number of fuzzy sets by means of the ordering of the universe typically resulting in labels like "small", "medium", or "large".

Intelligent Systems for Information Processing From Representation to Applications

It all speaks to an earlier world in which China lay at the heart of an ordered East Asian system of tributary states an order shattered by Japan's militarist rise from the late 19th century.

The Economist

Expert writing Tips

Best practice

When using "an ordered system of", ensure the context clearly defines the criteria used for ordering the elements within the system. This adds clarity and avoids ambiguity.

Common error

Avoid using "an ordered system of" without specifying how the system is ordered. For instance, saying "an ordered system of data" is vague. Instead, specify "an ordered system of data based on chronological sequence" for better clarity.

Linguistic Context

An ordered system of functions as a noun phrase. It describes a structured arrangement with elements following a specific sequence or hierarchy. Ludwig AI confirms its validity through various examples in academic and scientific contexts.

Expression frequency: Uncommon

Frequent in

Science

70%

Encyclopedias

20%

News & Media

10%

Less common in

Formal & Business

0%

Social Media

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "an ordered system of" refers to a structured arrangement with elements following a specific sequence or hierarchy. Ludwig AI validates its grammatical correctness and appropriateness for describing precise structures, particularly in scientific and academic contexts. The phrase is most effectively used when the ordering principle is clearly defined, preventing ambiguity. Consider alternatives like "a structured arrangement of" or "a systematic organization of" for slight variations in emphasis. While not extremely common, its usage is appropriate across various reputable sources.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a structured arrangement of

Focuses on the arrangement aspect, emphasizing how elements are placed within the system.

a systematic organization of

Highlights the systematic nature of the organization, implying a methodical approach.

a hierarchical structure of

Specifies a hierarchical structure, where elements are ranked or layered.

an organized framework for

Emphasizes the framework aspect, suggesting a skeletal structure for organization.

a regulated process of

Implies a process that is controlled and follows specific rules.

a controlled sequence of

Focuses on the sequential aspect, highlighting control over the order of events.

a classified collection of

Highlights the classification aspect, where items are grouped based on shared characteristics.

an established protocol for

Refers to a set of rules or procedures that are widely accepted and followed.

a formalized method for

Stresses the formal and standardized nature of the method.

a standardized procedure of

Implies uniformity and consistency in the way something is done.

FAQs

How can I use "an ordered system of" in a sentence?

Use "an ordered system of" to describe a structured arrangement where elements follow a specific sequence or hierarchy. For example, "The library uses "an ordered system of cataloging" to efficiently locate books."

What is a good alternative to "an ordered system of"?

Depending on the context, you could use phrases like "a structured arrangement of", "a systematic organization of", or "a hierarchical structure of".

Which is correct: "an ordered system of" or "a system of order"?

Both phrases are grammatically correct, but they convey slightly different meanings. "An ordered system of" emphasizes the presence of a pre-defined structure or sequence. "A system of order" highlights the outcome of the system—that is, creating or maintaining order.

What's the difference between "an ordered system of" and "an organized system of"?

"An ordered system of" implies a specific sequence or ranking, whereas "an organized system of" suggests that elements are arranged efficiently and purposefully, but not necessarily in a particular order. Order implies a set sequence, organization implies arranged for efficiency.