and hence finally

USAGE SUMMARY

The phrase "and hence finally" is not commonly used in written English and may sound awkward.
It can be used to indicate a conclusion or result that follows logically from previous statements, but it is better to use simpler alternatives. Example: "The research was thorough, and hence finally, we can conclude that our hypothesis was correct."

Science

News & Media

Wiki

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

They reject Historicist approaches to literary history, which they find reduce literary history to "a series of discrete and hence finally incomprehensible fragments" and emphasize the author's intent too greatly.

Wikipedia

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Hence, finally pump performance will be dropped.

Journal of Petroleum Exploration and Production Technology

Hence, finally optimum reaction time of 135 min was considered.

Applied Water Science

Hence, finally, the 1-soliton solution to (1.1) is respectively given by u ( x, t ) = A tanh 2 [ B ( x − v t ) ], (3.20).

Advances in Difference Equations

Hence, finally, as a combination of all the PSO extensions, in this study we propose applying an MD PSO algorithm with FGBF and heterogeneous particle behaviors for audio feature synthesis.

EURASIP Journal on Audio, Speech, and Music Processing

Hence, finally the average profit for the cycle in the case can be written as prod^{7} (t_{1},T) = frac{X}{T},where (X =) < excess amount >, + <i nterest earned during the interval ([M,T]) for the excess amount > (- {text{TC}}) {text{i}}.

Journal of Industrial Engineering International

It is hence finally possible to obtain σ through: σ j 2 = 1 N j ∑ k ∈ K j (y j k, j - y k, j W e j T ) 2. The Metropolis-Hastings algorithm [ 18, 19] is a random walk over Ω, the parameter space of the model.

BMC Systems Biology

Hence, the above equality can be written: Then we have Then the integral can be calculated and thus Finally,.

British Journal of Cancer

As the Jensen concavity of (mathscr{M}) implies the Jensen Fubini inequality (2.6), we obtain (3.3), and hence (3.2) and, finally, the desired inequality (3.1).

Journal of Inequalities and Applications

This gives ϕ ( r ) = 0 and hence r = 0. Finally, since lim n → ∞ ( max ( d ( g x, g u n ), d ( g y, g v n ) ) ) = 0, we have g u n → g x and g v n → g y.

Fixed Point Theory and Applications

At larger value of T on, larger current flows between the tool and workpiece, which increases the discharge energy between the spark gap and hence larger erosion rate finally increases grade value.

Journal of Industrial Engineering International

Expert writing Tips

Best practice

Consider using stronger, more concise alternatives like "therefore" or "thus" instead of the somewhat redundant "and hence finally" to improve clarity and flow.

Common error

Avoid stacking multiple connectors like "and hence finally" as it can make your writing sound repetitive and less impactful. Choose the single most appropriate connector for the intended meaning.

Linguistic Context

The phrase "and hence finally" functions as an adverbial connector, indicating a logical consequence or conclusion derived from preceding statements. It serves to link ideas and signal the culmination of a reasoning process, however Ludwig AI suggests simpler alternatives are better.

Expression frequency: Uncommon

Frequent in

Science

65%

News & Media

20%

Formal & Business

10%

Less common in

Wiki

5%

Encyclopedias

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, the phrase "and hence finally" is an adverbial connector used to signal a logical conclusion. While grammatically acceptable, it is often considered stylistically weak due to its redundancy. Ludwig AI recommends simpler alternatives like "therefore" or "thus" for improved clarity. It finds use in various contexts with a higher incidence in scientific writing and less frequent in other contexts. When writing, ensure the connector you choose has the most impact.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

and therefore ultimately

Replaces "hence" with "therefore" for a more formal tone and "finally" with "ultimately" to emphasize the end result.

and thus eventually

Substitutes "hence" with "thus" to indicate a consequence, and "finally" with "eventually" implying a gradual process.

and consequently in the end

Uses "consequently" instead of "hence" to highlight a result, and "in the end" replaces "finally" for a temporal conclusion.

and as a result at last

Replaces "hence" with the phrase "as a result", and "finally" with "at last" focusing on the outcome.

and for this reason ultimately

Replaces "hence" with "for this reason", which is more explicit, and "finally" with "ultimately" denoting the end point.

and accordingly in conclusion

Uses "accordingly" to indicate a logical sequence and "in conclusion" to signal the end of an argument.

and subsequently at long last

Replaces "hence" with "subsequently" showing a sequence, and "finally" with "at long last" indicating a prolonged duration.

and because of that eventually

Expands "hence" to the more descriptive "because of that", and uses "eventually" instead of "finally".

and on that account ultimately

Substitutes "hence" with "on that account" for a more formal tone, and "finally" with "ultimately" emphasizing the final outcome.

and therefore in the final analysis

Replaces "hence" with "therefore" for a more formal tone and replaces "finally" with "in the final analysis" to emphasize a comprehensive assessment.

FAQs

What does "and hence finally" mean?

The phrase "and hence finally" indicates a conclusion or result that logically follows from previous statements. However, it's often considered redundant because "hence" and "finally" both suggest a conclusion.

What can I use instead of "and hence finally"?

You can use alternatives like "therefore", "thus", "consequently", or "as a result" to express the same idea more concisely.

Is it grammatically incorrect to say "and hence finally"?

While not strictly grammatically incorrect, "and hence finally" is often considered stylistically weak due to redundancy. Using just "hence" or "finally" or a stronger connector is generally preferred.

How can I improve my writing by avoiding phrases like "and hence finally"?

Focus on choosing the most precise and impactful connector for your sentence. Avoid combining multiple connectors that express similar meanings. Aim for clarity and conciseness in your writing.