in the following relationships

USAGE SUMMARY

The phrase "in the following relationships" is correct and usable in written English.
It can be used when introducing or referencing specific relationships that will be detailed or explained subsequently. Example: "The study examines the effects of stress in the following relationships: between work and personal life, between health and productivity, and between social support and mental well-being."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

We focused on genetic variation in the following relationships (Y vs. Y): femur versus humerus, humerus versus femur, tibia versus ulna, and ulna versus tibia.

Genome Biology and Evolution

Despite their importance, researches on the moderating effects of clinical learning environment in the following relationships among public hospital trainee doctors are limited: between coaching supervision-talent development, mentoring supervision-talent development and abusive supervision-talent development.

BMC Medical Education

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

In both cases in Assumption 2, the following relationships are satisfied: begin{aligned} theta _{1{mathrm{off}}}+theta _{2{mathrm{off}}}<theta _{1mathrm{peak}}+theta _{2mathrm{peak}}, end{aligned} (25) begin{aligned} theta _{1{mathrm{off}}}+theta _{1mathrm{peak}}>theta _{2{mathrm{off}}}+theta _{2mathrm{peak}}.

Journal of Economic Structures

If (alphain[1,+infty)) and (R_{i}succeq0) ((i=1,2)), then the matrices M, Q, H defined, respectively, in (10), (11) satisfy the following relationships: HM=Q (12) and Q^{top}+Q-M^{top}HMsucceqfrac{alpha -1}{2alpha}M^{top}HM. (13).

Journal of Inequalities and Applications

In the derivation of (12), the following relationships are used.

EURASIP Journal on Wireless Communications and Networking

In this parameterization we have the following relationships: μ = p p + q ϕ = p + q This implies: p = μϕ and q = (1 – μ) ϕ.

BMC Medical Research Methodology

As shown in the following relationship, Arrhenius equation can be represented by: ln k_{2} = ln A - frac{{{text{E}}_{a} }}{RT}, (16 where k 2 is the rate constant obtained from the pseudo-second-order kinetic model (g/mg h); A, the Arrhenius factor; E a, the Arrhenius activation energy of adsorption (kJ/mol); R, the universal gas constant (8.314 J/mol/K); T, the absolute temperature (K).

Applied Water Science

As shown in Figure7, the following relationship is defined between the two link triggers that govern the scheduling of the RMPA handover scheme: t SCI < t LGD < t LD.

EURASIP Journal on Wireless Communications and Networking

In this case, the following relationship is obtained by substituting (22) and (23) in (21): α = log P s N 0 log c P s α N 0 = log P s N 0 log c α + log P s N 0 = 1 1 + log c − log α log P s N 0. (24).

EURASIP Journal on Wireless Communications and Networking

In this case, the following relationship is valid: (2).

EURASIP Journal on Embedded Systems

(i) (uncongested): In this range, the following relationship exists between the thresholds and the current channel utilization,.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When using "in the following relationships", ensure that the relationships you are about to list are clearly defined and relevant to your overall argument or analysis. This helps maintain clarity and coherence.

Common error

Avoid using "in the following relationships" without providing specific details about each relationship. Ambiguity can confuse readers. Always ensure each relationship is clearly defined and its relevance is explained.

Linguistic Context

The phrase "in the following relationships" functions as an introductory phrase, signaling that a list or elaboration of specific relationships will be provided. As Ludwig AI indicates, the phrase is grammatically correct.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, the phrase "in the following relationships" is a grammatically sound introductory phrase, primarily used to signal the forthcoming description or enumeration of specific connections. As Ludwig AI confirms, it is appropriate in formal and scientific contexts. While the phrase itself is correct, ensure that the relationships you introduce are clearly defined and relevant. It's most commonly found in scientific literature, indicating that its usage is highly specialized and somewhat rare. For alternative expressions, consider phrases such as "regarding the subsequent connections" or "concerning the listed associations".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

in relation to these connections

Simplifies the phrase while maintaining the core meaning of indicating relationships.

considering the aforementioned relations

Swaps "following" for "aforementioned" and "relationships" for "relations".

concerning these established links

Replaces "following" with "established" and "relationships" with "links".

regarding the subsequent connections

Changes "following relationships" to a more formal phrase.

concerning the listed associations

Replaces "relationships" with "associations" and uses "listed" for a more direct reference.

regarding the undermentioned correlations

Uses "undermentioned" to refer to relationships that will be listed, adding a formal tone.

with respect to the ensuing links

Substitutes "following" with "ensuing" and "relationships" with "links", creating a more formal tone.

in terms of the specified interdependencies

Offers a more technical and formal alternative, highlighting the mutual dependence between elements.

pertaining to the outlined affiliations

Substitutes "relationships" with "affiliations", suggesting a connection based on association or alliance.

in connection with the detailed bonds

Uses "detailed" to emphasize the level of specification and "bonds" instead of relationships.

FAQs

How can I use "in the following relationships" in a sentence?

Use "in the following relationships" to introduce a list or explanation of connections between two or more entities. For example, "The study examines the role of social media "in the following relationships": user engagement, brand loyalty, and information dissemination."

What are some alternatives to "in the following relationships"?

Alternatives include "regarding the subsequent connections", "concerning the listed associations", or "with respect to the ensuing links". These options provide varied formality levels and nuances.

When is it appropriate to use "in the following relationships"?

It's appropriate when you need to specify and elaborate on particular connections. For instance, describing interpersonal dynamics, or depicting mathematical dependencies.

How does "in the following relationships" differ from "regarding the relationships"?

"In the following relationships" indicates a subsequent enumeration or description, while "regarding the relationships" is a broader reference without a promise of a specific list or explanation. The former sets an expectation of detail to come, the latter does not.