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from this relation
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "from this relation" is correct and usable in written English.
It can be used when referring to a connection or correlation derived from a previously mentioned relationship or context. Example: "From this relation, we can infer that the two variables are positively correlated."
✓ Grammatically correct
Science
Encyclopedias
Academia
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
31 human-written examples
where δ i represents the variation vector from G1. From this relation and H†H = I N, we can induce following property for i = 2, 3,..., N: (17).
and ρmax and ρmin are the largest and smallest singular values of H k. From this relation, we derive a scheduler that takes into account both the channel power and the eigenspread of H k. It selects the user that has the largest minimum singular value of H k. From 111), we have ρ max ρ min = s ρ min = ρ max s. (12).
where β k = γ E ∑ i = 1, i ≠ k K 1 d ik, F μ. From this relation, the following points can be observed: In the low-SNR region γ E → 0, ∑ k = 1 K − 1 1 N t − k < Q − Q 1 K is obtained.
From this relation the objective function to be optimized is derived.
From this relation is derived the algebraic use of the term square, which denotes the product that results from multiplying any algebraic expression by itself.
Encyclopedias
From this relation an intrinsic distribution measure was proposed and analytic expressions of this measure and Rényi information were derived for some standard continuous distributions.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
29 human-written examples
Although periodicities associated to the 11 yr solar cycle were observed in sample trees from Chile, this relation was not so favorable as in Brazilian trees.
Science
It is straightforward to evaluate the excess entropy and diffusion coefficient from simulations data, this relation should provide an interrelationship between dynamics and thermodynamics.
Two examples from Old English (OE) and from Old High German (OHG) with deontic modals selecting perfective infinitives demonstrate this relation (from Leiss 2008: 26).
Science
Although we cannot draw any firm conclusion from this correlational pattern, this relation suggests that there is a physiological surrogate marker for the efficiency of sustained emotion regulation.
Science
The robustness function for the performance requirement in eq. (25) is: (26) α ^ (q, C m ) = max α : max u ∈ U C (t m, u ) ≤ C m We can "read" this relation from left to right as follows.
Science
Expert writing Tips
Best practice
When using "from this relation", ensure that the relation being referred to is clearly and explicitly stated in the preceding context for clarity.
Common error
Avoid using "from this relation" when the specific relationship being referenced is unclear or implied. Always explicitly state the relation to prevent ambiguity.
Source & Trust
80%
Authority and reliability
4.3/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "from this relation" functions as a prepositional phrase introducing a consequence or derivation. It clarifies that the following statement is logically linked to a previously mentioned connection, often in a mathematical or analytical context. Ludwig confirms its correct usage in various scholarly contexts.
Frequent in
Science
70%
Academia
20%
Encyclopedias
10%
Less common in
News & Media
0%
Formal & Business
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, "from this relation" is a prepositional phrase used to indicate that a subsequent statement logically follows from a previously established connection. According to Ludwig AI, the phrase is considered grammatically correct and is most frequently found in scientific and academic writing. While alternatives exist, such as "based on this relationship", "from this relation" serves to establish a clear and logical link within a line of reasoning. Its proper use requires explicit mention of the referenced relation to avoid ambiguity.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
based on this relationship
Changes the preposition and noun while retaining the core meaning of derivation.
derived from this connection
Emphasizes the idea of something originating or stemming from a connection.
as a result of this correlation
Highlights the causal link between a correlation and its consequence.
in light of this association
Indicates that a conclusion is being drawn considering a particular association.
considering this dependency
Focuses on how something is influenced by a dependency.
given this link
Offers a concise way to say 'considering the link that was just mentioned'.
following this pattern
Underscores that what results is following the pattern that has been set up by relation.
stemming from this interdependence
Shows how something is evolving from the mutual dependence of elements.
on account of this interdependence
It can be used when you are providing the reason of a certain event.
due to this interrelatedness
Implies how something is caused or affected by mutual relationships.
FAQs
How can I use "from this relation" in a sentence?
Use "from this relation" to indicate that a conclusion, derivation, or result follows logically from a previously stated relationship or equation. For example, "From this relation, we can calculate the value of the variable."
What are some alternatives to "from this relation"?
Alternatives include "based on this relationship", "derived from this connection", or "as a result of this correlation" depending on the specific context.
Is "from this relation" formal or informal?
"From this relation" is generally considered formal and is best suited for academic, scientific, or technical writing. It may sound out of place in casual conversation.
What is the difference between "from this relation" and "because of this"?
"From this relation" implies a logical or mathematical derivation, whereas "because of this" indicates a causal relationship. Use "from this relation" when something is deduced or calculated "derived from" a specific relationship.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
80%
Authority and reliability
4.3/5
Expert rating
Real-world application tested