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aforementioned matrix

Grammar usage guide and real-world examples

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.

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.

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.

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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.

Antonio Rotolo, PhD - Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

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.

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.

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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Source & Trust

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Authority and reliability

4.1/5

Expert rating

Real-world application tested

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