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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
matrix and which
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "matrix and which" is not correct and does not convey a clear meaning in written English.
It may be intended to connect two ideas or elements, but without additional context, it is unclear how to use it effectively. Example: "In the analysis of the data, we need to consider the matrix and which factors influence the outcome."
⚠ May contain grammatical issues
Science
News & Media
Alternative expressions(4)
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
7 human-written examples
For example, in an aluminum alloy, one would be able to automatically figure out which regions are aluminum matrix and which are precipitates.
So far, there is no treatment available for controlling the excessive activation of pancreatic stellate cells, which mainly produce the extracellular matrix and which activate themselves in an autocrine loop by secreting pro-fibrogenic molecules such as TGFbeta and by producing pro-inflammatory cytokines.
Science
The clearest example of this are the matrilins, that are components of extracellular matrix and which in tetrapods also comprise a gene family of four members [ 55, 56].
Science
We then formalize the construction of the OSM matrix, and which part of its construction is used in the Misfits algorithm.
This can be directly compared to the default algorithm for Viterbi training described above with first calculates the entire Viterbi matrix and which requires O (M L) memory and O (T max LM) time to achieve the same.
5 Largely unexplored is the potential of purely organic dispersed phases, comprising only C, H, N, and O atoms, which should show better compatibility with a continuous polymeric matrix and which offer scope for tailoring the physical properties through organic synthesis.
Human-verified similar examples from authoritative sources
Similar Expressions
53 human-written examples
The matrix derived from equation (2) can be decomposed into two matrices, and, which describe the transition rates of the first and second nucleotide, respectively.
Science
Their extension leads to structures which in sections show double membranes crossing the matrix completely, and which appear as septae.
Science
Numerous proteins are involved in the disruption of cell cell and cell extracellular matrix contact, and which facilitate cell migration, invasion and tumour progression.
Science
The detector was found to successfully discriminate between samples containing only matrix and those which also contained accelerants.
Epithelial layers are in contact with many other cell types and tissues such as fibroblasts, extra cellular matrix and mesenchyme, which constantly cue and interact with the epithelium.
Science
Expert writing Tips
Best practice
When describing a matrix, use relative pronouns like "that", "which", "where", or "from which" to create clear and grammatically correct sentences. Ensure the relative pronoun accurately reflects the relationship between the matrix and the information that follows.
Common error
Avoid using the phrase "matrix and which" as it is grammatically incorrect and unclear. Instead, restructure your sentence to clearly indicate the relationship you intend to express, using appropriate relative pronouns or conjunctions.
Source & Trust
82%
Authority and reliability
2.8/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "matrix and which" is typically intended as a connector to introduce a relative clause, but it is grammatically incorrect. As Ludwig AI points out, proper relative pronouns such as "that", "which", "where", or "from which" should be used instead for grammatical accuracy.
Frequent in
Science
86%
News & Media
11%
Formal & Business
0%
Less common in
Academia
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
The phrase "matrix and which" is generally considered grammatically incorrect, often intended to introduce a relative clause but failing to do so accurately. Ludwig AI's analysis suggests the correct usage involves employing proper relative pronouns like "that", "which", "where", or "from which" to maintain clarity and grammatical integrity, particularly in formal and scientific writing. Given the phrase's infrequency and grammatical issues, it is advisable to restructure sentences to ensure correctness. Examples illustrate attempts to use the phrase across Science and News & Media, but as Ludwig AI reports, these instances highlight the need for grammatical revision. The correct approach enhances both clarity and credibility.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
the matrix, which
Introduces a nonrestrictive clause about the matrix using "which" preceded by a comma.
matrix in which
Replaces "and which" with "in which" to indicate containment or context within the matrix.
matrix from which
Replaces "and which" with "from which" to indicate origin or source related to the matrix.
matrix that
Uses "that" as a relative pronoun to define or specify the matrix.
matrix where
Substitutes "and which" with "where" to denote a condition or location associated with the matrix.
matrix, and this
Replaces "which" with "this" to introduce a new clause connected to the matrix.
matrix; and it
Uses a semicolon to separate the matrix mention from a new clause initiated by "and it."
matrix combined with
Expresses the matrix in conjunction with another element.
matrix together with
Represents the matrix in the company of other items.
matrix alongside of
Suggests the matrix co-occurs with something else.
FAQs
How can I properly use "matrix" in a sentence that includes a relative clause?
Use relative pronouns such as "which", "that", "where", or "from which" after the word "matrix" to properly introduce a relative clause. For example, "Consider the "matrix in which" the values are arranged in rows and columns" is grammatically sound.
What is a grammatically correct way to connect a description or additional information to the term "matrix"?
You can use phrases like "the "matrix, which"...", "the "matrix that"...", or restructure the sentence entirely to avoid the awkward "and which" construction.
Is "matrix and which" considered grammatically correct in formal writing?
No, "matrix and which" is not grammatically correct. It's best to use more precise and clear constructions such as "the "matrix from which"..." or rephrase the sentence for better clarity.
What are some alternative sentence structures to avoid using "matrix and which"?
Instead of "matrix and which", try using "the "matrix in which"", "the matrix that", or simply restructure the sentence to avoid the need for "and which" altogether. For example: "The "matrix where" the data is stored efficiently".
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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
82%
Authority and reliability
2.8/5
Expert rating
Real-world application tested