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aforementioned matrix
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "aforementioned matrix" is correct and usable in written English.
It can be used when referring back to a matrix that has already been mentioned earlier in the text. Example: "In the analysis, we will focus on the aforementioned matrix to draw our conclusions."
✓ Grammatically correct
Science
News & Media
Alternative expressions(19)
aforementioned methodology
aforementioned population
previously described method
earlier stated methodology
methodology outlined above
preceding methodology
above methodology
aforementioned duo
aforementioned ambition
aforementioned nun
aforementioned holiday
aforementioned doctor
aforementioned parole
aforementioned celebrity
aforementioned staying
aforementioned material
previously mentioned
earlier stated
a described method
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
3 human-written examples
This way, aforementioned matrix effects were eliminated.
The aforementioned matrix factorization techniques, known from the field of principal component analysis [4, 6] and image processing, lend themselves for reducing spectral distortion and thus are considered for removal of AGC noise from the spectrogram.
The Wolynes-MB model could in principle extended to any number of basins, which involves repetitively solving the 2 × 2 aforementioned matrix for the combined potential of every two energetically adjacent wells.
Human-verified similar examples from authoritative sources
Similar Expressions
57 human-written examples
The accuracy of the method was determined by quantitating samples using the aforementioned matrix-matched calibration curves.
As an alternative to pneumatic nebulization, laser ablation of dried liquids offers the aforementioned matrix-tolerance and sample throughput.
Based on the issue aforementioned, the blocking matrix is commonly introduced to the auxiliary array before the adaptive interference cancelling.
The aforementioned training matrix was used to train a GBM model in R Language.
Science
Specifically, this study revealed that the inside-out signaling of integrin αIIbβ3 varied based on extracellular shear stress levels, greatly influencing platelet adhesion to the aforementioned extracellular matrices.
Dense genotypes (38 453 SNPs) on 3250 elite breeding pigs were combined with phenotypes for growth rate (2668 records), lean meat percentage (2618), weight at three weeks of age (7387) and number of teats (5851) to estimate breeding values for all animals in the pedigree (8187 animals) using the aforementioned relationship matrices.
The local weights of the factors and attributes, and the consistency ratio of each matrix, are analyzed by the procedure aforementioned.
As aforementioned above in Assumption 1, the optimal training matrix that minimizes the MSE should satisfy P d P d H = N σ P d 2 I K.
Expert writing Tips
Best practice
When using "aforementioned matrix", ensure that the matrix has been clearly defined or described earlier in the text to avoid ambiguity.
Common error
Avoid using "aforementioned matrix" if the matrix being referenced is not immediately obvious or if multiple matrices have been discussed. In such cases, provide a more specific identifier.
Source & Trust
79%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "aforementioned matrix" functions as a noun phrase that includes a pre-modifying adjective ("aforementioned") specifying the noun matrix. It refers to a matrix that has been previously introduced or discussed in the text. Ludwig AI confirms its proper usage.
Frequent in
Science
83%
News & Media
11%
Wiki
3%
Less common in
Formal & Business
0%
Encyclopedias
0%
Reference
0%
Ludwig's WRAP-UP
In summary, "aforementioned matrix" is a grammatically sound phrase used to refer back to a matrix previously mentioned, as confirmed by Ludwig AI. It is most appropriate in formal and scientific writing to maintain coherence and avoid repetition. While effective for technical contexts, simpler alternatives like "previously mentioned matrix" or "earlier matrix" might be preferable in less formal settings. Always ensure clarity in your writing by making sure the matrix you are referencing is clearly defined. This phrase is most commonly encountered in scientific contexts.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
previously mentioned matrix
Replaces "aforementioned" with "previously mentioned", a more common synonym.
earlier matrix
Uses "earlier" as a simpler alternative to "aforementioned".
matrix mentioned above
Replaces "aforementioned" with a more descriptive phrase indicating location in the text.
the matrix in question
Uses "in question" to specify the matrix being discussed.
the matrix referenced earlier
Uses "referenced" to explicitly state that the matrix was referred to before.
the matrix defined above
Similar to "matrix mentioned above", but specifies that the matrix was defined.
the matrix under discussion
Emphasizes that the matrix is the current topic of conversation or analysis.
the matrix in the previous section
Identifies the location of the matrix by section.
the matrix we just discussed
Uses informal language indicating recent discussion.
that matrix
Simple and direct pronoun referring to the matrix.
FAQs
How can I use "aforementioned matrix" in a sentence?
You can use "aforementioned matrix" to refer back to a matrix that has already been introduced. For example, "The eigenvalues of the aforementioned matrix are crucial for our analysis."
What is a simpler alternative to "aforementioned matrix"?
A simpler alternative is "previously mentioned matrix" or "earlier matrix", which are more common in general writing.
Is "aforementioned matrix" too formal for general use?
"Aforementioned matrix" is suitable for formal or technical writing. In more casual contexts, you might prefer "matrix mentioned above" or simply "that matrix".
What's the difference between "aforementioned matrix" and "the matrix in question"?
"Aforementioned matrix" refers specifically to a matrix already mentioned, while "the matrix in question" implies that the matrix is currently under discussion or investigation, even if it hasn't been explicitly mentioned before.
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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
79%
Authority and reliability
4.1/5
Expert rating
Real-world application tested