aforementioned matrix

USAGE 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

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

This way, aforementioned matrix effects were eliminated.

Analytical and Bioanalytical Chemistry

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.

EURASIP Journal on Advances in Signal Processing

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.

Bioinformatics and Biology Insights

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.

Analytical and Bioanalytical Chemistry

As an alternative to pneumatic nebulization, laser ablation of dried liquids offers the aforementioned matrix-tolerance and sample throughput.

Analytical and Bioanalytical Chemistry

Based on the issue aforementioned, the blocking matrix is commonly introduced to the auxiliary array before the adaptive interference cancelling.

EURASIP Journal on Advances in Signal Processing

The aforementioned training matrix was used to train a GBM model in R Language.

Journal of Big Data

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.

Accounts of Chemical Research

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.

Genetics, Selection, Evolution

The local weights of the factors and attributes, and the consistency ratio of each matrix, are analyzed by the procedure aforementioned.

International Journal of Concrete Structures and Materials

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.

EURASIP Journal on Wireless Communications and Networking

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.

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.

Expression frequency: Uncommon

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

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.