Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
By hence
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "By hence" is not correct and not usable in written English.
It is a redundant expression as "hence" already implies a sense of origin or reason. Example: "By hence, we can conclude that the project will be successful."
⚠ May contain grammatical issues
Science
News & Media
Encyclopedias
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
5 human-written examples
Hard data, though, is difficult to come by — hence the county's coming review.
News & Media
The area of the image is Am2, in which m, the magnification, is given by Hence, the image illuminance (E) is The image illuminance thus depends only on the luminance of the source and the cone angle of the beam proceeding from the lens to the image.
Encyclopedias
The set of zeros of is denoted by Hence, (4.2).
where the term at and, respectively, causes the interference not to be purely imaginary anymore (after compensation of the common phase rotation and multiplication by ), hence causing ICI.
The SNP discovery approach taken in this study exploited the higher prevalence of HSVs as compared to SNPs within the tall fescue genome, and by hence assembling sequence reads at an elevated stringency, has generated contigs representative of putative individual sub-genomes.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
54 human-written examples
Normally, this table should be analyzed column by column (hence sentence by sentence).
Science
Further, they are prisoners, unable to travel and crippled by an economic blockade imposed by Israel, hence the tunnels.
News & Media
The "hard room"—the only room that can be attended by single men is a gangbang and participation is required by everyone, hence the warning.
News & Media
Software has to be replaced more frequently by highly paid software engineers — who are not easily replaced by machines, hence their high salaries.
News & Media
The writers toyed with opening images of a canary hurtling down a mine shaft, singing its little head off, as the years of its life flash by - hence the now-abandoned subtitle.
News & Media
His laws were declared "passed by force," hence invalid.
Encyclopedias
Expert writing Tips
Best practice
Avoid using the phrase "by hence" in formal writing. Use single-word alternatives like "therefore", "thus", or "consequently" for clearer and more concise communication.
Common error
Don't combine "by" with "hence". "Hence" already implies a causal relationship, so adding "by" creates a redundant construction. Choose either "by" with a clear cause or "hence" to indicate a logical consequence.
Source & Trust
83%
Authority and reliability
1.8/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "by hence" functions as a causal connector, attempting to link a cause and its effect. However, as Ludwig AI indicates, it is grammatically incorrect due to redundancy, as "hence" already implies causation.
Frequent in
Science
33%
News & Media
33%
Encyclopedias
33%
Less common in
Formal & Business
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
The phrase "by hence" is considered grammatically incorrect because it is redundant; "hence" already signifies causation, making the addition of "by" unnecessary. Ludwig AI confirms this assessment. Though examples exist across different source types, the phrase is rare and should be avoided in favor of clearer, more concise alternatives like "therefore", "thus", or "consequently". When aiming to indicate a logical consequence, using these single-word connectors will improve the clarity and credibility of your writing, particularly in formal or professional contexts. Using those alternatives will ensure correct grammar and more professional communication.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
Hence
Directly implies a consequence or result derived from the preceding statement or condition, often used in formal or logical contexts. It is already contained in the original query, so its own usage is somehow redundant.
As a result
Directly states that something happens because of a preceding action or condition, emphasizing the outcome of a specific cause.
Therefore
Indicates a logical conclusion based on preceding statements or evidence, emphasizing a clear and direct inference.
It follows that
Indicates a logical deduction or conclusion that naturally arises from the given information, suggesting a clear and unavoidable inference.
Thus
Similar to therefore, implies a logical consequence derived from the information presented, showing a natural progression of thought.
Because of this
Highlights the causal relationship by explicitly referencing the preceding information as the reason for the subsequent event or statement.
For this reason
Emphasizes the justification or rationale behind a particular action or conclusion, indicating a clear and deliberate motivation.
Consequently
A formal term that indicates a direct result or logical conclusion, providing a clear connection between cause and effect.
In consequence
A formal alternative to "as a result", indicating a direct and often significant outcome of a preceding event or condition.
Accordingly
Suggests that something is done in response to or in agreement with what has already occurred or been stated, showing alignment or adaptation.
FAQs
What is a better way to say "by hence"?
The phrase "by hence" is grammatically incorrect. Use single-word alternatives like "therefore", "thus", or "consequently" instead.
Is "by hence" grammatically correct?
No, "by hence" is not grammatically correct. The word "hence" already implies a sense of causation or result, making the addition of "by" redundant. It's better to use "hence" on its own or choose an alternative phrase.
When is it appropriate to use "hence"?
"Hence" is appropriate when you want to indicate that something is a logical consequence or result of a preceding statement or condition. For example, "The data was insufficient; hence, we could not draw a conclusion."
What are some formal alternatives to "by hence"?
Since "by hence" is incorrect, use these formal alternatives instead: "therefore", "consequently", or "thus". These options provide a clear and concise way to express a causal relationship in academic or professional writing.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
83%
Authority and reliability
1.8/5
Expert rating
Real-world application tested