hence this element

USAGE SUMMARY

The phrase "hence this element" is correct and usable in written English.
It can be used to indicate a conclusion or result that follows logically from a previous statement or argument. Example: "The data shows a significant increase in sales; hence this element is crucial for our marketing strategy."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Hence, this element x m ∈ cl ( { x α } ) is the maximum element of cl ( { x α } ) and x m ∈ cl ( { x α } ) ⊆ cl ( C ). Combing the above two cases, we find that every chain { x α } in cl ( C ) has an upper bound in cl ( C ). Hence cl ( C ) is inductive.

Fixed Point Theory and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Hence, this genetic element has been reported as both pBC218 and pBC210 in the literature.

Plosone

Hence, the element distribution was seriously affected by diffusion process during heat treatment.

Nanoscale Research Letters

Some have argued that this cosmogony does not distinguish breath and void, since they are drawn in together, and hence that at least this element of the cosmogony is archaic and dates before Philolaus, since it must antedate Anaxagoras, who first made the distinction (Kahn 2001, 37).

SEP

Hence, this analysis presents elements of landscape suitability (e.g. Tongway and Ludwig 2011) and biological condition assessments (e.g. Eyre et al. 2011) that may enable a choice regarding the development of post-mining ecosystems towards achievable rather than aspirational rehabilitation goals (Figure 3).

Ecological Processes

In this context, an annotation of two SBML elements is considered similar and hence these elements are considered a match if both have controlled vocabulary terms in common that are linked through qualifiers has version or is.

BMC Systems Biology

Hence, the elements of the matrix are also independent of each other.

EURASIP Journal on Wireless Communications and Networking

Hence, these elements are regarded essential nutrients with trace amounts, but become toxic at high concentrations.

Chemistry Central Journal

Hence, the elements of the vector u are u_{i} = frac{H_{i}}{boldsymbol{H}^{dag}boldsymbol{H}}.

EURASIP Journal on Advances in Signal Processing

Several attempts were made to understand the changeability between amino acids and, hence, the elements of substitution matrices.

Plosone

Hence, the elements of c are uncorrelated.

Genetics, Selection, Evolution

Expert writing Tips

Best practice

When using "hence this element", ensure that the connection between the preceding statement and the element being discussed is clear and logical to avoid ambiguity.

Common error

Avoid using "hence this element" if the relationship between the previous statement and the described element is weak or unclear. Ensure a strong, direct connection is evident to maintain logical flow.

Linguistic Context

The phrase "hence this element" functions as a causal connector, indicating that the element being discussed is a direct consequence or logical result of a preceding statement. Ludwig AI confirms that this phrase is correct and usable in written English.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "hence this element" is a grammatically correct and usable expression that serves as a causal connector, linking a preceding statement to a specific element as a consequence. Ludwig AI indicates that it’s suitable for establishing clear cause-and-effect relationships, particularly in formal and analytical writing. While its usage is relatively rare, as supported by Ludwig's examples, it maintains a degree of formality suitable for professional and academic contexts. When using this phrase, ensure the connection between the preceding statement and the element is strong and evident.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

therefore this component

Replaces "hence" with "therefore" and "element" with "component", maintaining the cause-and-effect relationship while using alternative vocabulary.

consequently this factor

Substitutes "hence" with "consequently" and "element" with "factor", emphasizing the result or outcome with different terminology.

thus this aspect

Replaces "hence" with "thus" and "element" with "aspect", offering a more concise and formal alternative to express the logical conclusion.

accordingly this feature

Uses "accordingly" instead of "hence" and "feature" instead of "element", providing a slightly different nuance to the consequential relationship.

as a result this item

Replaces "hence" with "as a result" and "element" with "item", explicitly stating the cause-and-effect connection with simpler vocabulary.

for this reason this aspect

Uses "for this reason" instead of "hence" and "aspect" instead of "element", highlighting the justification or rationale for the subsequent point.

because of this this facet

Substitutes "hence" with "because of this" and "element" with "facet", emphasizing the causal factor leading to the identified aspect.

due to this this characteristic

Replaces "hence" with "due to this" and "element" with "characteristic", stressing the cause that gives rise to the specific characteristic.

on account of this this detail

Uses "on account of this" instead of "hence" and "detail" instead of "element", providing a more formal and detailed explanation of the logical connection.

in consequence this attribute

Substitutes "hence" with "in consequence" and "element" with "attribute", emphasizing the effect or outcome resulting from the initial condition.

FAQs

How can I use "hence this element" in a sentence?

"Hence this element" is used to show that something is a direct result or consequence of what was previously stated. For example: "The data showed a significant increase in user engagement; hence this element is crucial for our marketing strategy."

What are some alternatives to "hence this element"?

You can use alternatives like "therefore this component", "consequently this factor", or "thus this aspect" depending on the context.

Is "hence this element" formal or informal?

"Hence this element" leans towards the formal side but can be used in various contexts where a clear logical connection needs to be established. Consider your audience and the overall tone of your writing.

What's the difference between "hence this element" and "therefore this element"?

While both indicate a consequence, "hence this element" can sound slightly more formal or literary than "therefore this element". The choice often depends on the desired tone and style.