given the adjacency

USAGE SUMMARY

The phrase "given the adjacency" is correct and usable in written English.
It can be used in contexts where you are referring to the closeness or proximity of items, concepts, or elements in a discussion or analysis. Example: "Given the adjacency of the two properties, we should consider their combined value in the market."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

Given the adjacency matrix A and the their subnetworks, different statistics has been defined to describe the network and taxa.

BioData Mining

Given the adjacency matrices of networks, the structural difference of networks can be studied in many different ways.

BioMed Research International

Given the adjacency matrices E i i = 1 q of q latent graphs, the proposed ensemble algorithm, namely EGM-SMCC, is described in Algorithm 1.

BMC Genomics

The central problem to find an elementary homovalent atom mapping is to identify the alternating cycle defining the ITS R given the adjacency information of the educts and products.

Algorithms for Molecular Biology

Given the adjacency matrix of a network G, we apply a standard spectral clustering algorithm [ 45] to search for the best 2-, 3, or 4-way partitioning that gives the highest Q value.

BMC Systems Biology

Given the adjacency matrix E of the PPI network, we compute P = EE and normalize its entries with respect to each column to obtain a normalized transition probability matrix P. The ERWR random walker iteratively visits neighborhood nodes with transition probability given in P. Also at each step, it has probability α (e.g., α = 0.1) to return to the start node.

BMC Genomics

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

CR is similarly (n × m) and each row contains the adjacencies of a metabolite node that act as a substrate to each reaction column, while RC is (m × n) and gives the adjacencies of reaction products but with the roles of rows and columns reversed.

BMC Systems Biology

This figure also shows the detection performance given the true (adjacency plus travel) graph, the adjacency graph without travel patterns and the average performance given randomly generated graphs.

Emerging Health Threats Journal

Given the original adjacency matrix.

EURASIP Journal on Wireless Communications and Networking

Simmons said he was also disturbed given the rally's adjacency to the Old Courthouse, a historically racially fraught site for St . Louis where slaves were sold on the courthouse steps.

Los Angeles Times

Currently, the standard of care for the guidance of brachytherapy seed implantation is transrectal ultrasound (TRUS) [ 3], which can gain imaging access to the prostate given the gland's adjacency to the rectal wall and its modest size, with a mean±SD diameter (i.e., height or width dimension), according to a study by Hricak et al., of 4.3±1.0 cm for men (n = 15) aged 52 67 years [ 17].

Biomedical Optics Express

Expert writing Tips

Best practice

In scientific writing, use "given the adjacency" to logically connect the proximity of elements to their interactions or influences, strengthening the analytical argument.

Common error

Avoid using "given the adjacency" without clearly defining the relevant boundaries or scale of adjacency. Vague references can lead to misunderstandings about the interconnectedness being discussed.

Linguistic Context

The phrase "given the adjacency" functions as a prepositional phrase that introduces a condition or premise upon which further analysis or conclusions are based. It highlights that the spatial relationship or connectivity between elements is a relevant factor, as evidenced by Ludwig's examples.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, the phrase "given the adjacency" is a prepositional phrase primarily used in scientific contexts to establish a condition based on the proximity or connectivity of elements. As confirmed by Ludwig, it serves to connect spatial relationships with subsequent analyses or conclusions. While grammatically correct, its formal tone and specific application make it less common in general usage. For clearer communication, especially outside scientific domains, alternatives like "considering the proximity" or "in light of the nearness" may be preferable. When employing this phrase, ensure clarity regarding what elements are adjacent and the scope of that adjacency.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

considering the proximity

Replaces "given" with "considering" and "adjacency" with "proximity", focusing on spatial closeness.

in light of the nearness

Uses "in light of" to introduce the reason and replaces "adjacency" with "nearness", emphasizing closeness.

taking into account the closeness

Emphasizes consideration of the "closeness" of something.

considering the spatial relationship

Focuses on the "spatial relationship" between elements.

bearing in mind their contiguity

Uses "contiguity" to highlight the touching or bordering aspect of adjacency, implying direct contact.

considering the connection

Replaces adjacency with connection that could be literal or figurative.

taking into consideration how close they are

Expresses the idea more explicitly by focusing on the degree of closeness.

in view of the neighboring elements

Highlights the influence from elements in the neighboring area.

acknowledging their juxtaposition

Focuses on the fact that two things are placed close together.

with regard to the spatial arrangement

Emphasizes the consideration of how things are laid out in space.

FAQs

How is "given the adjacency" typically used in scientific writing?

In scientific writing, "given the adjacency" is used to indicate that the spatial closeness or connectedness of elements (such as genes in a network or regions in a geographical area) is relevant to the analysis or conclusion. It implies that the proximity influences the interaction or relationship between those elements.

What does "adjacency" mean in the context of graph theory?

In graph theory, "adjacency" refers to the relationship between nodes in a graph. Two nodes are adjacent if they are connected by an edge. The "adjacency matrix" is a way to represent this relationship mathematically, indicating which nodes are directly connected.

Are there alternatives to "given the adjacency" that maintain a formal tone?

Yes, alternatives such as "considering the proximity", "in light of the nearness", or "taking into account the closeness" can maintain a formal tone while conveying a similar meaning to "given the adjacency".

When is it appropriate to use "given the adjacency" instead of simpler terms like "nearby" or "close to"?

"Given the adjacency" is more appropriate in formal or technical contexts where you need to emphasize the structured relationship or connectivity between elements, rather than just their physical proximity. Terms like "nearby" or "close to" may lack the precision needed in scientific or mathematical discussions.