heterogeneous dimensions

USAGE SUMMARY

The phrase "heterogeneous dimensions" is correct and usable in written English.
It can be used in contexts where you are discussing varying or diverse aspects or characteristics of a particular subject, such as in research, analysis, or design. Example: "The study examined the heterogeneous dimensions of social behavior across different cultures."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

In this paper, the problem on synchronization is studied for a class of master slave delayed neural networks (DNNs) with heterogeneous dimensions.

Neurocomputing

My current field of consciousness, as I am typing this essay, comprises heterogeneous dimensions, including thinking, perception, movement, and visual, tactile, and proprioceptive stimuli.

Harvard Review of Psychiatry

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

The method constitutes a model reduction approach: By only considering oscillators with parameter values given by roots of families of orthogonal polynomials (Legendre, Hermite, …), we can use the Gaussian quadrature to accurately evaluate the term coupling the oscillators, which can be thought of as the discretisation of an integral over the heterogeneous dimension(s).

The Journal of Mathematical Neuroscience

It aims to solve scenarios when the source and target domain are represented by heterogeneous features and dimensions.

Journal of Big Data

We can even include new layers of complexity by assuming more than two companies, or by assuming that users are heterogeneous in several dimensions.

Complex Adaptive Systems Modeling

Although the analysis of any policy for a population which is heterogeneous in several dimensions is a difficult task, in this paper we present a characterisation of the optimal (tax-treatment) fresh start policy and the allocation that it generates.

SERIEs

This paper is concerned with the situation in which a profit-maximizing monopolist faces consumers that are heterogeneous in two dimensions: their taste for quality and their level of cognitive limitations.

Research in Economics

The key coefficients on technical change are robust to differentiation across observable characteristics that are potential dimensions of heterogeneous early retirement behavior.

IZA Journal of Labor Policy

The Figure 7b, d shows heterogeneous vertical and lateral dimensions since stacking defaults of gold nanotriangles takes place due to longer incubation of the reaction mixture.

Nanoscale Res Lett

To demonstrate accuracy and efficiency, the combined DDM vorticity method is applied to highly heterogeneous systems in two dimensions with and without gravity.

Journal of Petroleum Science and Engineering

In this paper, we study the degenerate logistic equation with a free boundary and general logistic term in higher space dimensions and heterogeneous environment, which is used to describe the spreading of a new or invasive species.

Boundary Value Problems

Expert writing Tips

Best practice

When using the phrase "heterogeneous dimensions", ensure that the context clearly defines what constitutes a 'dimension' in your specific field or application. This avoids ambiguity and ensures the reader understands the scope of the heterogeneity.

Common error

Avoid using "heterogeneous dimensions" loosely without specifying what these dimensions represent. For example, stating that a dataset has "heterogeneous dimensions" is vague. Instead, clarify whether you're referring to data types, scales, or feature sets to provide meaningful context.

Linguistic Context

The phrase "heterogeneous dimensions" primarily functions as a descriptive term, qualifying the noun "dimensions" with the adjective "heterogeneous". According to Ludwig AI, the phrase is accurate and usable in written English. The adjective "heterogeneous" specifies that the dimensions being discussed are diverse or varied in nature.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, "heterogeneous dimensions" is a grammatically correct phrase used to describe diverse and varied aspects within a system or dataset. According to Ludwig AI, it is usable in written English and appropriate for contexts requiring precision, such as scientific and technical writing. While not frequently encountered, understanding its meaning and proper usage is valuable for effectively conveying complexity and diversity in various fields. The phrase is particularly suitable when you need to emphasize the non-uniform nature of the dimensions being discussed. Alternatives such as "diverse dimensions" or "varied dimensions" may be used depending on the specific nuance you wish to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

diverse dimensions

Replaces "heterogeneous" with "diverse", emphasizing variety and difference.

varied dimensions

Substitutes "heterogeneous" with "varied", highlighting the presence of different types or forms.

mixed dimensions

Uses "mixed" instead of "heterogeneous", suggesting a combination of different elements.

non-uniform dimensions

Replaces "heterogeneous" with "non-uniform", emphasizing the lack of consistency.

dissimilar dimensions

Uses "dissimilar" to convey the idea of dimensions that are not alike.

assorted dimensions

Suggests a collection of dimensions of various types.

eclectic dimensions

Emphasizes the diverse and broad nature of the dimensions.

unhomogeneous dimensions

A more formal way of expressing the lack of homogeneity.

variable dimensions

Highlights the changing or fluctuating nature of the dimensions.

multifaceted dimensions

Suggests that the dimensions have many different aspects or sides.

FAQs

How can I use "heterogeneous dimensions" in a sentence?

You can use "heterogeneous dimensions" to describe systems or datasets that have diverse and varying characteristics. For example: "The model accounts for the "heterogeneous dimensions" of consumer behavior, including income, age, and location."

What are some alternatives to saying "heterogeneous dimensions"?

Alternatives include "diverse aspects", "varied characteristics", or "mixed elements", depending on the specific context. For example, instead of saying "the "heterogeneous dimensions" of the project", you could say "the diverse aspects of the project".

In what contexts is the phrase "heterogeneous dimensions" most appropriate?

The phrase is particularly fitting in scientific, technical, and academic writing where precision and formality are valued. It's often used when analyzing complex systems, datasets, or phenomena with multiple differing components.

What does "heterogeneous dimensions" mean?

"Heterogeneous dimensions" refers to a collection of dimensions or aspects that are diverse, varied, and not uniform. It implies a mix of different qualities or characteristics within a system or dataset.