I hence

USAGE SUMMARY

The phrase 'I hence' is not a correct, usable phrase in written English.
Instead, consider using the phrase 'therefore' or 'consequently' to express similar sentiments. Example: "I went to the store, therefore I have groceries for dinner."

⚠ May contain grammatical issues

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

32 human-written examples

which further implies that by (i), hence, (2.6).

Fixed Point Theory and Applications

Suppose that the transmit power P i  = P for all i, hence SNR i  = u.

EURASIP Journal on Wireless Communications and Networking

By the hypothesis on ψ we have that (lambda^{i} =0) for all i; hence, for each i, (lambda_{n}^{i} rightarrow 0) as (ntoinfty ).

Journal of Inequalities and Applications

Let the value of node n after the ith pairwise gossip round be y n, i, hence, y n, 0 is its initial value.

EURASIP Journal on Advances in Signal Processing

Since a n ∈ K 1 ( x n, u n ) and K 1 is upper semicontinuous with nonempty closed values by Lemma 6(i), hence K 1 is closed, thus we have a 0 ∈ K 1 ( x, u ).

Journal of Inequalities and Applications

Note that for any map (f:i rightarrow i') in (I') with the canonical decomposition (f = l circ m), (m:i rightarrow i") in M, (l:i" rightarrow i') in L, Definition 8.8 implies that (i"), hence the whole decomposition also lies in (in).

Bulletin of Mathematical Sciences

Human-verified similar examples from authoritative sources

Similar Expressions

28 human-written examples

By an analogous way we know there exists at least one negative solution, which is a nontrivial critical point of I- Hence, Equation (1) admits at least a positive solution and a negative solution.

Boundary Value Problems

In turn, IFN activates the transcription of RIG-I, hence forming a positive feedback loop for amplifying antiviral signals.

Cellular and Molecular Immunology

The probability of scanning changes to P S2 = a S/(a S + a X), and the probability for the ribosome to traverse the remaining distance without associating with Factor X would be P S 2 n - i. Hence, (1 - P S 2 n - i ) gives the probability of assembling Factor X before reaching the GCN4 ORF.

BMC Systems Biology

Accordingly, the other subcarriers used for information decoding are denoted by S I. Hence, S K I represents the subcarriers of K-th user for information transfer.

EURASIP Journal on Wireless Communications and Networking

The above equalities yield m ( S ) ≃ { ( s 1, …, s n ) : s i ∈ k ∀ i }, hence the last assertions follow immediately.

Bulletin of Mathematical Sciences

Expert writing Tips

Best practice

Avoid using "I hence" in your writing. Replace it with more common and grammatically correct alternatives like "therefore", "consequently", or "thus".

Common error

Don't assume that using less common words makes your writing more sophisticated. In the case of "I hence", it can make your writing sound awkward or incorrect. Opt for clarity and correctness over perceived formality.

Linguistic Context

The phrase "I hence" functions as an adverbial phrase intended to introduce a consequence or conclusion. However, Ludwig AI indicates that the phrase is not considered grammatically correct in modern English, making its practical function limited.

Expression frequency: Uncommon

Frequent in

Science

42%

News & Media

29%

Formal & Business

29%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, while the individual word "hence" is valid, the phrase "I hence" is generally considered grammatically incorrect in modern English. Ludwig AI confirms this assessment. Although it appears in some sources, predominantly scientific and news media, it's advisable to use alternatives like "therefore, I", "consequently, I", or "thus, I" for improved clarity and grammatical correctness. Opting for these alternatives ensures that your writing is both clear and aligns with contemporary English usage conventions.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Therefore, I

Replaces "hence" with its more common and grammatically correct equivalent, "therefore".

Consequently, I

Substitutes "hence" with "consequently", offering a slightly more formal alternative.

Thus, I

Replaces "hence" with "thus", a concise and formal alternative.

As a result, I

Replaces "hence" with "as a result", providing a more explicit causal connection.

Accordingly, I

Substitutes "hence" with "accordingly", indicating a logical consequence.

For this reason, I

Replaces "hence" with "for this reason", making the causal link more direct.

Because of this, I

Offers a slightly more informal alternative to "hence".

It follows that I

Replaces the entire phrase with a more formal and logical construction.

That implies I

Indicates a logical consequence or implication.

In consequence, I

Replaces "hence" with the slightly more formal "in consequence".

FAQs

Is "I hence" grammatically correct?

No, "I hence" is not considered grammatically correct in modern English. It's better to use alternatives like "therefore, I", "consequently, I", or "thus, I".

What can I say instead of "I hence"?

You can use alternatives such as "therefore, I", "consequently, I", "as a result, I", or "accordingly, I" depending on the specific context.

Which is correct, "I hence" or "therefore I"?

"Therefore I" is grammatically correct, whereas "I hence" is not. It's advisable to use "therefore, I" or other similar phrases for clarity and correctness.

Why is "I hence" considered incorrect?

While "hence" is a valid word, the phrasing "I hence" is not standard usage. Modern English prefers constructions where "hence" introduces a consequence or conclusion directly, without being preceded by a subject pronoun. Consider using "therefore, I" or "consequently, I" instead.