defining representations

USAGE SUMMARY

The phrase "defining representations" is correct and usable in written English.
You can use it in contexts where you are discussing the process of establishing or clarifying the meaning or form of representations in various fields, such as art, literature, or data modeling. Example: "In our research, we focus on defining representations that accurately capture the complexities of human emotions."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

If the defining representation of G is the direct sum of finite dimensional representations with determinant one the fixed point subalgebra OG of O∞ is a simple C∗-algebra.

Journal of Functional Analysis

We find that the cost function of a linear sum assignment problem involves only the defining representation of the symmetric group, while quadratic assignment problems are superpositions of the representations indexed by the partitions (n), (n−1,1), (n−2,2), and (n−2,1,1).

Applied and Computational Harmonic Analysis

We show that the fixed point algebra OG of the Cuntz algebra On n = 2, 3...,∞, under the canonical action of a strongly compact group G of unitaries on the generating Hubert space H is simple if the defining representation of G is a direct sum of finite dimensional representations whose determinant takes values in finite subgroups of the circle.

Journal of Functional Analysis

As a first step towards a new duality theorem for compact groups we consider a representation category TG of a compact Lie group G⊂U d,C) whose objects are the tensor powers of the defining representation and whose arrows are the intertwiners.

Journal of Functional Analysis

But Obedi continues to help guide those that call the shots, to ensure that the industry isn't simply giving South Asians scraps and defining "representation" for themselves.

Vice

Lucy Prebble's Enron (2009), although focused on the Texan energy giant, became the defining theatrical representation of the credit crunch – backlit by the glare of panicking computer screens, the stage filled with ravening monsters.

The Guardian

In the case of the ∗-algebras with quadratic involutions, analytically defined representations are introduced, and irreducible analytically defined representations are described up to unitary equivalence using dynamical systems.

Journal of Functional Analysis

In the case of the ∗-algebras with involutions of the first order all analytically defined representations are shown to be one- dimensional.

Journal of Functional Analysis

However, adopting user defined representations is clearly suboptimal, as it is desirable to learn descriptors specific to the scene of interest.

Computer Vision and Image Understanding

We define representations D ± of the cyclic group Z d which map the k th power of the generator g ∈ Z d of degree d to D ± ( g k ) : = U ± k.

EPJ Quantum Technology

The importance of spatially explicit and geographically defined representations of the network in urban and regional planning and design is stressed, and appropriate, context-dependent visualizations of these are suggested based on experience from real-world planning cases.

Landscape and Urban Planning

Expert writing Tips

Best practice

When using "defining representations", ensure that you clearly specify the context in which the representations are being defined. This helps avoid ambiguity and ensures that your audience understands the specific meaning you are conveying.

Common error

Avoid using "defining representations" without providing sufficient context. Without specifics, the phrase can become too broad and lose its intended impact. Always specify what aspects of the representations are being defined.

Linguistic Context

The phrase "defining representations" functions primarily as a verb phrase followed by a noun, typically used to describe the action of establishing or clarifying the meaning or form of something. As Ludwig AI explains, the phrase is correct and usable in written English.

Expression frequency: Missing

Frequent in

Science

0%

News & Media

0%

Formal & Business

0%

Less common in

Science

0%

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

The phrase "defining representations" is grammatically correct and serves to describe the act of establishing or clarifying the meaning of representations in various contexts. While Ludwig AI indicates its usability, the term's occurrence in the provided data is non-existent. Alternative phrases like "establishing representations" and "clarifying representations" offer similar meanings with slight nuances. When using this phrase, ensure you provide sufficient context to avoid ambiguity. The primary usage is within formal and scientific settings, requiring precision and clarity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

establishing representations

Focuses more on the act of setting up or creating representations, rather than just clarifying existing ones.

clarifying representations

Emphasizes making existing representations more understandable or precise, rather than the initial definition.

specifying representations

Highlights the act of making representations more detailed and unambiguous.

outlining representations

Suggests providing a general overview or framework for representations.

formulating representations

Implies a more structured and systematic approach to creating representations.

developing representations

Highlights the process of growth and refinement of representations over time.

creating representations

Focuses on the act of bringing representations into existence.

constructing representations

Suggests a more deliberate and methodical building of representations.

conceptualizing representations

Emphasizes the initial mental process of forming representations.

modeling representations

Highlights the use of models to create or understand representations.

FAQs

How can "defining representations" be used in a sentence?

You can use "defining representations" in a sentence to describe the process of establishing or clarifying the meaning or form of representations in various fields. For example, "Our project focuses on "defining representations" that accurately capture complex data sets."

What are some alternatives to "defining representations"?

Some alternatives to "defining representations" include "establishing representations", "clarifying representations", or "specifying representations". The best choice depends on the specific context and the nuance you wish to convey.

What is the difference between "defining representations" and "creating representations"?

"Defining representations" implies clarifying or specifying the nature of existing representations, while "creating representations" suggests bringing new representations into existence. The former is about clarifying, the latter is about generating.

In what contexts is "defining representations" most appropriate?

"Defining representations" is particularly appropriate in academic, scientific, and technical contexts where precision and clarity are essential. It is also useful in discussions about art, literature, or data modeling.