which are hence

USAGE SUMMARY

The phrase "which are hence" is not commonly used in written English and may sound awkward or unclear.
It can be used when referring to something that follows logically or is a result of something previously mentioned, but it is better to use clearer alternatives. Example: "The results of the experiment, which are hence significant, indicate a new trend in the data."

Science

Human-verified examples from authoritative sources

Exact Expressions

10 human-written examples

In bolted composite structures, the presence of bolt holes induces high stress concentrations, which are hence recognized to be a source of damage developed during loading.

Materials & Design

The fundamental difference between the new method and other methods based on a first-order approach is the introduction of conditions of an integral character to supplement the simultaneous set of first-order equations, which are hence never regarded as an initial value problem.

Journal of Computational Physics

The final reduced selection consisted of 58 AAindices, which are hence (a) based on the relevant natural amino acids only, (b) largely independent (since those indices with larges covariance were removed).

Journal of Cheminformatics

The second layer of nodes corresponds to the fragments that are set in the fingerprint for the reference structure, and which are hence expected to be present in active molecules (by the similar property principle).

Journal of Cheminformatics

Alkaline lignin or Kraft lignin is produced in large quantities by the pulp and paper industry, which are, hence, the most abundant sources of lignin for the subsequent chemical processing [3].

Applied Petrochemical Research

The large majority of disease is caused by a small number of these groups, which are hence called hypervirulent clonal complexes [3].

Plosone

Human-verified similar examples from authoritative sources

Similar Expressions

50 human-written examples

Based on long-term aerosol number size distribution measurements at the site26,27, the accumulation mode was found to reach down to 80 nm which was hence chosen as lower cut-off diameter.

Nature

In this paper, we study the problem of multi-robot cooperative target tracking, where a team of mobile robots cooperatively localize themselves and track (multiple) targets using their onboard sensor measurements as well as target stochastic kinematic information, and which is hence termed cooperative localization and target tracking (CLATT).

Robotics and Autonomous Systems

We thus construct an indicator for being not employed at the interview following the job loss, which is hence measured contemporaneously with partners' mental health.

IZA Journal of Labor Economics

Recently, Xu [33] used averaged mappings to study the convergence analysis of the GPA, which is hence an operator-oriented approach.

Journal of Inequalities and Applications

Reproduction is the life process which ensures the perpetuation of life and genetic diversity is mainly generated through recombination processes in sexual reproduction, which is, hence, a process of fundamental importance for population and species biology (Maynard 1978).

Botanical Studies

Expert writing Tips

Best practice

While grammatically correct, consider replacing "which are hence" with clearer and more common alternatives like "which are therefore" or "which are consequently" for improved readability and impact.

Common error

Avoid stringing together multiple formal connectors in a single sentence. Using phrases like "which are hence" in conjunction with other formal language can make your writing sound stilted and unnatural. Opt for simpler constructions when possible.

Linguistic Context

The phrase "which are hence" functions as an adverbial phrase, modifying a clause to indicate a cause-and-effect relationship. As Ludwig AI states, it connects a preceding statement with its logical consequence. Ludwig examples illustrate how it links properties or conditions to their results.

Expression frequency: Uncommon

Frequent in

Science

82%

News & Media

12%

Formal & Business

6%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "which are hence" is a grammatically sound but somewhat stylistically uncommon way to express consequence. Ludwig AI suggests it's generally acceptable but advises considering more direct alternatives for improved clarity. While its presence in academic and scientific writing indicates a degree of formality, overusing such connectors can lead to stilted prose. When deciding whether to use "which are hence", weigh the benefits of its precision against the potential for diminishing readability.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

which are therefore

Replaces "hence" with "therefore", providing a more common and direct expression of consequence.

which are consequently

Substitutes "hence" with "consequently", indicating a result or effect.

which are thus

Replaces "hence" with "thus", offering a slightly more formal expression of consequence.

which are accordingly

Replaces "hence" with "accordingly", suggesting an action or result that is appropriate for the circumstances.

and are therefore

Restructures the sentence to use "and are therefore", emphasizing the logical connection.

and thus are

Inverts the order and uses "and thus are", providing a slightly different emphasis.

as a result are

Replaces "which are hence" with "as a result are", making the causal relationship more explicit.

which in turn are

Expresses a chain of events, where the initial clause affects the next.

that consequently are

Uses "that consequently are" to refer to a consequence of something.

which logically leads to

Rephrases to explicitly state the logical connection or implication.

FAQs

What does "which are hence" mean?

The phrase "which are hence" means 'which are as a result of this' or 'which are consequently'. It's used to show a logical connection or consequence between two parts of a sentence.

What are some alternatives to "which are hence"?

You can use alternatives like "which are therefore", "which are consequently", or "which are thus" to express the same meaning with potentially greater clarity.

Is "which are hence" grammatically correct?

Yes, "which are hence" is grammatically correct, but it's not the most common or stylistically preferred way to express consequence. Consider alternatives for better readability.

When should I use "which are hence" in my writing?

While grammatically sound, "which are hence" can sound a bit formal or stilted. Reserve it for situations where you aim for a very formal tone or when other alternatives might be repetitive. In most cases, "which are therefore" or "which are consequently" are better choices.