on each dimension

USAGE SUMMARY

'on each dimension' is a perfectly correct and usable phrase in written English.
You can use it to refer to two or more characteristics or elements that need to be considered separately. For example, "We need to assess the potential impact of this policy on each dimension of society-- economic, environmental, and social."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Then, for each pixel of the image I x, y t, two additional pixels on each side of the central one are needed on each dimension.

EURASIP Journal on Image and Video Processing

While the prediscussion value may seem low, we note that scores on each dimension are within one point of each other in ∼80% of cases.

CBE Life Sciences Education

Respondents describe their caregiving situation by selecting one of three possible responses on each dimension: (i) no, (ii) some, and (iii) a lot.

Health and Quality of Life Outcomes

If we represent difficulty on each dimension using the interval zero to one, this learning space can be visualized as a cube.

Behavioral and Brain Functions

Normalization is applied on each dimension to fix the values between zero and one: N d = d − D min D max − D min (1).

EURASIP Journal on Audio, Speech, and Music Processing

The number of individuals who obtained T-scores >60 (i.e., one standard deviation above the mean in the standardization sample) was counted on each dimension and sum score.

Child and Adolescent Psychiatry and Mental Health

In successive cycles, the number of levels on each dimension can be decremented and the range of each dimension can be decreased by a defined "shrinkage" factor.

Chemometrics and Intelligent Laboratory Systems

This study aims to analyse the impact of these programmes on each dimension of the triple bottom line (environmental, social and economic performance).

International Journal of Production Economics

The correlation coefficients between the questionnaire and interview scores on each dimension ranged from r = 0.7 to 0.9, demonstrating good reliability of the measures used.

Safety Science

If the conflicts of interest between the principal and the agent are different on each dimension, then delegation is always strictly valuable.

Journal of Economic Theory

Ekdahl wants to make the personnel cuts objectively, but the company's new performance-review system yields disappointing results: On a five-point scale, virtually every employee gets a 4 or 5 on each dimension.

Harvard Business Review

Expert writing Tips

Best practice

Use "on each dimension" when you want to emphasize a separate consideration of multiple aspects or characteristics. It's particularly useful in analytical or evaluative contexts.

Common error

Avoid using "on each dimension" in simple sentences where it adds unnecessary complexity. Opt for simpler alternatives like "in every aspect" for clarity.

Linguistic Context

The phrase "on each dimension" primarily functions as a prepositional phrase that modifies a verb or noun, indicating a distributed evaluation or consideration. As Ludwig AI reports, it signifies that something is being assessed separately for multiple aspects.

Expression frequency: Very common

Frequent in

Science

73%

News & Media

15%

Formal & Business

12%

Less common in

Ludwig's WRAP-UP

In summary, the phrase "on each dimension" is a grammatically correct and widely used prepositional phrase that emphasizes separate consideration of multiple aspects. As noted by Ludwig AI, it's effective for analytical and evaluative contexts, particularly in scientific, news, and formal business settings. While versatile, it's important to avoid overuse in simpler contexts where more direct language would suffice. Its formal tone makes it best suited for technical and academic writing, ensuring thoroughness in evaluation.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

for each attribute

Substitutes dimension with attribute, suitable when referring to specific characteristics.

with respect to each feature

Highlights the individual consideration of distinct features.

regarding each aspect

Similar to "for every aspect" but offers a slightly more formal tone.

for every aspect

Replaces dimension with aspect, emphasizing a broader consideration.

in terms of each component

Replaces "dimension" with "component" to emphasize distinct parts of a whole.

for all characteristics

Focuses on assessing all defining characteristics.

in each facet

Uses facet to highlight individual elements of a complex situation.

concerning every element

Focuses on each individual element within a whole.

in every regard

Focuses on considering all relevant respects or points.

across all parameters

Emphasizes a systematic evaluation using defined parameters.

FAQs

How can I use "on each dimension" in a sentence?

The phrase "on each dimension" is used to indicate that something is being considered or evaluated separately for multiple aspects or characteristics. For example, "The policy was assessed "on each dimension" of its potential impact."

What are some alternatives to "on each dimension"?

Alternatives include phrases like "in every aspect", "for each attribute", or "in each facet", depending on the specific context and the nuance you want to convey. Each of these carries a subtly different meaning, so choose the one that best fits your intended message.

Is "on each dimension" formal or informal?

"On each dimension" tends to be more formal and is often used in analytical or technical contexts. In more casual settings, simpler alternatives might be more appropriate.

What does "on each dimension" mean?

The phrase "on each dimension" implies that something is being evaluated or considered individually across several different parameters or characteristics. It suggests a thorough and systematic approach to assessment.