which consequently implies

USAGE SUMMARY

The phrase "which consequently implies" is correct and usable in written English.
It can be used to indicate that one statement or fact leads to a logical conclusion or implication about another statement or fact. Example: "The data shows a significant increase in sales, which consequently implies that our marketing strategy is effective."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

which consequently implies that (2.19).

Journal of Inequalities and Applications

which consequently implies the validity of condition (ii) in Theorem 3.1.

Advances in Difference Equations

In this section, we will prove the following stability theorem, which consequently implies the uniqueness of strong solutions.

Boundary Value Problems

Then x p q − x 0 ∈ W. Now observe that if for ( k, l ) ∈ I r s, x k l − x 0 ∈ W, then x k l − x p q = x k l − x 0 + x 0 − x p q ∈ W + W ⊂ V ⊂ U. Hence, as in the earlier proofs, we can prove that K ⊂ { ( r, s ) ∈ N × N : 1 h r s | { ( k, l ) ∈ I r s : x k l − x p q ∉ W } | < δ }, which consequently implies that ( x k l ) is I θ r, s -statistically τ-Cauchy.

Journal of Inequalities and Applications

Although AMs from smokers are able to phagocytose intracellular bacteria, they are unable to kill the bacteria – which consequently implies the deficiency of these cells in smokers [ 8].

Arthritis Research and Therapy

Additionally, random initialization of cluster centroids could result in the creation of empty clusters at the first iteration, which consequently implies that different OCT images would be segmented into different number of regions in the vertical direction.

Biomedical Optics Express

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

Sharing properties for only a subset of a client objects is forbidden by the schema which, consequently, would imply the creation of a distinct property set for each client individually.

Visualization in Engineering

However, SSF, because of its solid nature, implies some constraints which consequently require specific tools to efficiently overcome them.

Chemometrics and Intelligent Laboratory Systems

Although the use of competing risk models in the multivariate analysis ensured the strength of our study, the major limitation is the design of the study, which used a historical control group, consequently implying limited matching between the two study groups.

Critical Care

The aim of our paper is to give several characterizations of the Malliavin covariance matrix which are equivalent to Hörmander's condition (and consequently imply the hypoellipticity).

Journal of Functional Analysis

From (3.14), we have and consequently, which implies that.

Fixed Point Theory and Applications

Expert writing Tips

Best practice

Use "which consequently implies" to clearly link a cause and its direct effect, ensuring the relationship is logical and understandable.

Common error

Avoid overuse; vary your sentence structure with alternatives like "which therefore suggests" or "which thus indicates" to maintain writing flow and avoid repetition.

Linguistic Context

The phrase "which consequently implies" functions as a connector, linking a preceding clause to its logical outcome or implication. As Ludwig AI states, the phrase indicates a logical conclusion or implication. Examples from Ludwig demonstrate its use in scientific and general contexts.

Expression frequency: Uncommon

Frequent in

Science

50%

News & Media

33%

Formal & Business

17%

Less common in

Social Media

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "which consequently implies" is a grammatically correct connector used to establish a cause-and-effect relationship between two statements. Ludwig AI confirms its usability in written English. It is found primarily in science and news media, suggesting a neutral to formal register. While effective for creating clear and logical connections, remember to use it judiciously. Varying your writing with alternatives like "which therefore suggests" can enhance readability. Be mindful of overuse and ensure the implied relationship is logically sound.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

which therefore suggests

Replaces "consequently implies" with "therefore suggests", indicating a logical inference rather than a direct implication.

which thus indicates

Uses "thus indicates" to show a clear indication or pointing towards a specific conclusion.

which leads to the conclusion that

More explicitly states the resulting conclusion, adding emphasis.

which results in

Focuses on the outcome or effect of the initial statement.

which entails

Emphasizes that something is a necessary part or consequence.

which signifies that

Highlights the importance or meaning that can be inferred.

which means that

Simplifies the phrase to a more direct meaning.

which demonstrates that

Indicates the initial statement acts as proof or evidence.

which suggests

A less forceful way to imply a relationship or conclusion.

which hints at

Implies a subtle suggestion or indication.

FAQs

How can I use "which consequently implies" in a sentence?

Use "which consequently implies" to connect a prior statement with its logical outcome. For example, "The data shows a significant increase in sales, which consequently implies that our marketing strategy is effective."

What are some alternatives to "which consequently implies"?

You can use alternatives such as "which therefore suggests", "which thus indicates", or "which entails" depending on the context.

What's the difference between "which consequently implies" and "which suggests"?

"Which consequently implies" indicates a direct and logical consequence, whereas "which suggests" offers a less forceful or more tentative inference. The first states an outcome, the latter proposes a possibility.

Is it always necessary to use "which consequently implies" when showing a cause-and-effect relationship?

No, there are many ways to show cause and effect. Using alternatives such as "therefore", "thus", or "as a result" can sometimes provide a more concise or stylistically appropriate connection.