and hence I

USAGE SUMMARY

The phrase "and hence I" is correct and usable in written English.
It can be used to indicate a conclusion or result that follows logically from what has been previously stated. Example: "The project was a success, and hence I believe we should pursue similar initiatives in the future."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

31 human-written examples

and hence (i) follows immediately from the definition of R x E,A) and Theorem 1.

Journal of Statistical Distributions and Applications

He pays me no respect at all and hence I don't pay him any respect.

The New York Times - Sports

Gardner would have celebrated his 100th birthday this year, and hence I have recently mentioned his name during my lectures.

The Guardian - Books

My fellow-grunts, Leon and John, were the only black guys on the crew, and hence I was known as the Great White Hope.

The New Yorker

I dare not apply for jobs that involve a commute of any kind and hence I am stuck in non-training jobs.

The Guardian

If I snow-shovel harder than you and complete 3/4 of the walk to your 1/4, and hence I get $7.50 of the $10 the neighbour pays us for it, then we're quits.

The Economist

Human-verified similar examples from authoritative sources

Similar Expressions

29 human-written examples

Moreover, since N i is nilpotent with T i N i = N i T i, it follows from [6, Corollary 2.12] that T i + N i + μ i has SVEP, and hence T i + F i has SVEP.

Journal of Inequalities and Applications

In addition, for each edge xy in G we connect the vertices e x, y, d x, y, e y, x, d y, x in this order via a cycle of length 4. To finish the construction of G′, we add the edge s i t i in case s i (and hence t i ) would have an even degree otherwise.

Algorithmica

The closer thereligible(i)(and hence purity(i)) to 0.5, the more mixed the clusterC i is.

EURASIP Journal on Advances in Signal Processing

Then, applying the extension of Zorn's lemma, the range P i ( S i, x − i ) has a maximal element; and hence T i ( x ) is a nonempty subset of S i.

Fixed Point Theory and Applications

Further this implies that ⋂ i = 1 ∞ F ( T i ) ⊂ C n + 1 and hence ⋂ i = 1 ∞ F ( T i ) ⊂ C n for all n ≥ 0. Since ⋂ i = 1 ∞ F ( T i ) is nonempty, C n is a nonempty closed convex subset of E and hence Π C n exists for all n ≥ 0. This implies that the sequence { x n } is well defined.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

Use "and hence I" to clearly articulate a direct consequence or logical conclusion based on previously stated information. Ensure the connection between the preceding statement and the resulting action or belief is evident to the reader.

Common error

While grammatically correct, "and hence I" can sound overly formal in casual conversation. Consider using alternatives like "so I" or "that's why I" for a more natural tone in informal settings.

Linguistic Context

The phrase "and hence I" functions as a conjunctive adverb introducing a clause that expresses a consequence or result directly linked to the preceding clause. Ludwig examples illustrate this in both scientific and news contexts.

Expression frequency: Uncommon

Frequent in

Science

40%

News & Media

40%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "and hence I" serves as a conjunctive adverb to introduce a logical consequence or conclusion. Ludwig AI confirms its grammatical correctness. While appropriate for various contexts, it leans towards neutrality and formality and is more commonly found in scientific and news-related writing. When aiming for a more casual tone, consider alternatives such as "so I" or "that's why I". Remember to employ it when expressing a direct result or logical deduction based on preceding information for clarity and impact.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

and thus I

Replaces "hence" with "thus", maintaining a formal tone and similar logical connection.

therefore I

Replaces "and hence" with "therefore", offering a direct and common alternative to indicate a conclusion.

consequently I

Substitutes "hence" with "consequently", providing a more formal synonym indicating a direct result.

as a result I

Replaces "and hence" with "as a result", offering a slightly less formal way to express a consequence.

accordingly I

Uses "accordingly" in place of "and hence", suggesting an action is taken in response to a prior situation.

for this reason I

Emphasizes the explicit rationale behind the speaker's subsequent action or statement.

that's why I

Offers a more informal equivalent, suitable for casual communication.

it follows that I

Presents a conclusion as a necessary consequence, emphasizing logical deduction.

on that account I

Indicates that something is done or considered because of something else that was previously mentioned.

on those grounds I

Suggests that a decision or statement is based on specific reasons or justifications.

FAQs

How can I use "and hence I" in a sentence?

Use "and hence I" to introduce a conclusion that logically follows from a preceding statement. For example: "The data was incomplete, and hence I could not finalize the report."

What phrases are similar to "and hence I"?

Alternatives include "therefore I", "thus I", and "as a result I". The best choice depends on the specific context and desired level of formality.

Is it more appropriate to use "and hence I" or "therefore I"?

"And hence I" and "therefore I" are largely interchangeable. "And hence I" might be perceived as slightly more formal or literary in tone.

When should I avoid using "and hence I"?

Avoid using "and hence I" in very informal settings where it might sound stilted or pretentious. Simpler alternatives like "so I" or "that's why I" are often more appropriate.