by which implies that

USAGE SUMMARY

The phrase "by which implies that" is not correct in standard written English.
It seems to be a conflation of two different phrases and does not convey a clear meaning. Example: "The evidence presented in the report is compelling, by which I mean it strongly supports the conclusion."

⚠ May contain grammatical issues

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Using the fact that B is a decreasing operator, we obtain Bxsucceq By, which implies that x_{0}+Bxsucceq x_{0}+By, that is, Axsucceq Ay.

Fixed Point Theory and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Taking the limit of (2.27) as, we see that and so, by Proposition 1.8, we have which implies that is -continuous at.

Fixed Point Theory and Applications

The projection of the noisy received signal onto the channel WH set is given by, which imply that, (8).

EURASIP Journal on Wireless Communications and Networking

However, during the normal process of bone remodelling, the formation of bone produced by osteoblasts is induced by osteoclasts, which implies that on reducing the resorptive activity, there is also an accompanying reduction in bone formation.

BMJ Open

Hence, we deduce that y has a unique representation by (3.1), which implies that x has a unique representation by (3.2).

Journal of Inequalities and Applications

But, as indicated by the results of the present study, heparinase 1 digestion did not reverse the improved gene transfer of target cells by PTD.AdeGFP, which implies that the increased transduction is not caused by charge-directed binding between viruses and the cell surface.

Bioscience Reports

The most important feature of our procedure is a rigorous discretization of variational derivatives using summation by parts, which implies that the inherited properties are satisfied exactly.

Journal of Computational Physics

The results show that nanofiber structure of polyaniline film enhances mobilities, but affect little features of the mobility change induced by oxidation, which implies that although the nanofibers structure facilitates the charge transport in neutral or oxidized films, but it is irrelevant to the evolution of metallic conduction in polyaniline films.

Electrochimica Acta

Then E stabilizes a chain of subgroups of P by (3), which implies that E / C E ( P ) is a p-group.

Journal of Inequalities and Applications

where is also defined by (2.6), which implies that decreases to a fixed point of the operator, and The proof is complete.

Advances in Difference Equations

Applying Theorem 3.4 to Eq. (1.3), the condition (H2) should be replaced by (H2′), which implies that λ ¯ = 0 in (H2).

Journal of Inequalities and Applications

Expert writing Tips

Best practice

Avoid using the phrase "by which implies that" as it's not grammatically sound. Instead, opt for clearer alternatives like "which suggests that" or "which indicates that".

Common error

Don't combine "by" with "which implies that". Using "by" usually refers to means or method, while "which implies that" introduces a consequence or implication. Mixing them creates grammatical errors.

Linguistic Context

The phrase "by which implies that" is a conjunction attempting to link two clauses by indicating a cause-and-effect relationship. However, as indicated by Ludwig AI, this phrase is grammatically incorrect in standard written English.

Expression frequency: Rare

Frequent in

Science

100%

News & Media

0%

Formal & Business

0%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "by which implies that" is generally considered grammatically incorrect. Ludwig AI highlights that the phrase appears to be a conflation of two different phrases. While the intention is to show a cause-and-effect relationship, it's best to use clearer and more standard alternatives such as "which suggests that" or "which indicates that". Although some examples can be found in scientific articles, its usage is rare and should be avoided in formal writing to maintain clarity and grammatical correctness.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

which suggests that

Focuses on suggestion rather than strict implication.

which indicates that

Emphasizes indication as a consequence.

which means that

Highlights the meaning or result.

implying that

Uses a participial phrase for implication.

this suggests that

Adds specificity by using 'this'.

this indicates that

Adds specificity to the indication.

therefore

Uses a single word to denote consequence.

consequently

Highlights the consequence of the previous statement.

as a result

Explains the result of a particular action.

leading to the conclusion that

Formal phrase emphasizing conclusion.

FAQs

How can I correctly express implication in a sentence?

Instead of using "by which implies that", use phrases such as "which implies", "suggests that", or "indicates that" to clearly show the relationship between ideas.

What is a grammatically correct substitute for "by which implies that"?

A grammatically sound alternative would be to use "which means that", "therefore", or "consequently". These options provide a clearer and more concise way to express implication.

Is there a difference between "which implies that" and "by which implies that"?

Yes, "by which implies that" is not standard English. The correct and more common phrase is "which implies that", where "which" refers to the preceding clause and introduces an implication or consequence.

When is it appropriate to use "which implies that" in a sentence?

Use "which implies that" when you want to show that one idea naturally leads to another. Ensure that the sentence structure is clear and that the implication is logical and easily understood by the reader.