where hence

USAGE SUMMARY

The phrase "where hence" is not commonly used in modern written English and may sound awkward or outdated.
It can be used in a literary or poetic context to indicate a place or situation from which something originates or follows. Example: "In the ancient texts, the hero spoke of the valley where hence the great river flows."

Science

News & Media

Formal & Business

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

9 human-written examples

: Let, where (hence or ).

Journal of Inequalities and Applications

where Hence Note that (211).

Advances in Difference Equations

where ; hence is well defined.

Boundary Value Problems

In order to obtain inequality (2.29), set and where Hence (2.30).

Fixed Point Theory and Applications

The polynomial is of degree and so is the polynomial of degree, where, hence applying Lemma 2.3 to the polynomial, we get for (3.3).

Journal of Inequalities and Applications

end{aligned} (2.1)The derivative (f^(x mu,sigma,p)) exists every where, hence critical point(s) satisfy equation (f^(x mu,sigma,p =0).

Mathematical Sciences

Human-verified similar examples from authoritative sources

Similar Expressions

49 human-written examples

where and hence.

Advances in Difference Equations

where and Hence, for all one has (3.67).

Advances in Difference Equations

where and hence by [11] we have (3.6).

Journal of Inequalities and Applications

where as, hence the the formula (3.37) is true.

Boundary Value Problems

The basic example is the one where (m=2), hence (alpha _2) is scalar multiplication by (-1).

Bulletin of Mathematical Sciences

Expert writing Tips

Best practice

Use "where hence" sparingly, primarily in formal or literary contexts where its slightly archaic tone is appropriate. Be prepared to substitute with a more common phrase like "from which" in other settings.

Common error

Avoid using "where hence" in casual or contemporary writing, as it can sound stilted or unnatural. Opt for more common alternatives like "from which" or "therefore" to maintain a natural flow.

Linguistic Context

The phrase "where hence" functions as an adverbial conjunction, linking a location to a consequence or origin. It's used to indicate that something arises or follows from a particular place. As Ludwig AI indicates, usage is awkward or outdated in modern English.

Expression frequency: Uncommon

Frequent in

Science

60%

News & Media

15%

Formal & Business

10%

Less common in

Encyclopedias

5%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "where hence" is used to connect a location with a consequence or origin, though its application is somewhat archaic in contemporary English. Ludwig AI characterizes its usage as awkward, and suggests that you favor using more common alternatives. The phrase is mostly found in formal and scientific contexts, although there is sporadic usage in news media, business, and encyclopedia entries. Its grammatical function is that of an adverbial conjunction. The primary communicative purpose is to establish a connection between a location and a subsequent event. Because of its relative infrequency in modern English, it's best to use this phrase sparingly and judiciously.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

from which it follows

Emphasizes the logical consequence arising from a particular place or situation, shifting the focus to the result.

from where it originates

Highlights the starting point or source of something, placing less emphasis on the immediate consequence.

resulting from that location

Focuses on the outcome specifically tied to a place, making it suitable for describing direct physical effects.

consequently in that area

Indicates a result that happens in a specific geographic context, useful for regional or spatial consequences.

therefore in that place

Directly states a conclusion based on the conditions of a specific location, suitable for logical deductions.

where it subsequently happens

Highlights a sequence of events following from a location, useful in narrative or chronological contexts.

because of that place

Indicates a causal relationship tied to a location, simplifying the connection to a cause-and-effect scenario.

as a result of that spot

Emphasizes the direct impact of a physical location, making it suitable for describing immediate consequences.

whereupon it proceeds

Implies a direct continuation from a location, suitable for describing steps or progression from a specific point.

in that locale, thus

States a consequence within a particular geographic setting, providing a straightforward connection between place and outcome.

FAQs

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

Use "where hence" to connect a location with a consequence or origin. For example, "This is the region "where hence" the conflict began" indicates the location from which the conflict originated.

What can I say instead of "where hence"?

You can use alternatives like "from which", "therefore", or "consequently" depending on the context.

Is "where hence" grammatically correct?

Yes, "where hence" is grammatically acceptable, although it's considered somewhat archaic or literary in modern English. It's best used in formal writing or when aiming for a specific stylistic effect.

What's the difference between "where hence" and "from which"?

"Where hence" directly links a place to a consequence or origin, while "from which" is a more general term indicating origin or source. "Where hence" carries a slightly more formal or old-fashioned tone.