a reduced space

USAGE SUMMARY

The phrase "a reduced space" is correct and usable in written English.
It can be used in contexts such as mathematics, physics, or computer science, where it refers to a space that has been simplified or constrained in some way. Example: "In our analysis, we focused on a reduced space to make the calculations more manageable."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

29 human-written examples

This data structure has been shown to be as powerful as suffix trees, with the advantage of a reduced space requirement and reduced processing time.

BMC Genomics

This is commonly handled by using kernel-based methods, which allow one to perform classification implicitly in a reduced space.

EURASIP Journal on Advances in Signal Processing

This obtained size of the plasma jet diameter is very useful when the medical treatment must be processed in a reduced space.

Nanoscale Research Letters

The sequence was obtained based on the combination of a finite element polynomial configuration method and a reduced space sequential quadratic programming algorithm.

Journal of Cleaner Production

Parametric Model Order Reduction (pMOR) techniques aim at reducing the computational cost associated with each analysis by projecting the full system into a reduced space.

Journal of Sound and Vibration

These concerns have been addressed by applying orthogonal collocation on finite elements to these systems and solving the nonlinear program (NLP) with a reduced space successive quadratic programming (SQP) approach.

Chemical Engineering Science

Human-verified similar examples from authoritative sources

Similar Expressions

31 human-written examples

The problem reduces to finding a test space (a dimensionally reduced space for this auxiliary variable), which guarantees that the error in the primal variable (representing the solution) is close to the projection error of the full solution on the dimensionally reduced space that approximates the solution.

Computer Methods in Applied Mechanics and Engineering

Random House, the world's largest consumer publisher, provoked endless chatter about its decision to take a vastly reduced space on the exhibition floor with room for just four autograph signing stands, moving all its meeting space into a windowless room downstairs.

The New York Times - Books

We introduce a new algorithm for solving certain classes of topology optimization problems, which enjoys fast local convergence normally achieved by the full space methods while working in a smaller reduced space.

Computer Methods in Applied Mechanics and Engineering

We solve the nonlinear optimization problem using a line-search based reduced space Gauss Newton method where we compute shape sensitivities with a discrete adjoint approach.

Journal of Computational Physics

The main ideas are to reduce a problem space that is difficult to search to one that is relatively easy to explore, to use the optimal solution from the reduced space as an approximate solution to the original problem, and to iteratively apply multiple reductions to progressively find better solutions.

Artificial Intelligence

Expert writing Tips

Best practice

When describing abstract concepts such as feature sets in machine learning or design spaces in engineering, use "a reduced space" to highlight that the complexity has been intentionally simplified for analysis or efficiency.

Common error

Avoid using "reducing space" when you mean "a reduced space". "Reducing space" implies the action of making a space smaller, while "a reduced space" refers to the resulting smaller area or dimension.

Linguistic Context

The phrase "a reduced space" functions as an adjective phrase modifying a noun, typically referring to an area, dimension, or set that has been made smaller or simplified. As Ludwig AI explains, it's often used in technical contexts.

Expression frequency: Common

Frequent in

Science

75%

News & Media

20%

Formal & Business

5%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "a reduced space" is a phrase used to describe a space, whether physical or abstract, that has been made smaller or simpler. Ludwig AI confirms its correctness and usability, particularly in technical and scientific fields. It is most commonly found in science-related contexts and occasionally in news and media. When using this phrase, ensure it accurately reflects the concept of simplification or diminution you intend to convey. Be mindful not to confuse it with "reducing space", which refers to the action of making something smaller. By understanding its context and usage, you can effectively incorporate "a reduced space" into your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a smaller area

Focuses on the physical dimension being smaller.

a limited space

Emphasizes the restriction or constraint on the available space.

a condensed area

Highlights that the space has been compressed or made more compact.

a constrained environment

Shifts the focus to the limitations and boundaries of the setting.

a minimized area

Indicates that efforts have been made to make the space as small as possible.

a downsized region

Suggests a deliberate reduction in the size of the area.

a compact space

Highlights the efficient use and arrangement within the area.

a diminished area

Implies a lessening or decrease in the size or extent of the space.

a compressed zone

Focuses on the squeezing or compaction of the area.

a curtailed space

Indicates a space that has been shortened or cut back.

FAQs

How can I use "a reduced space" in a sentence?

You can use "a reduced space" to describe a physical area, such as "The apartment had "a reduced space" for storage", or an abstract concept like a feature set, such as "The algorithm operates in "a reduced space" to improve efficiency".

What is a good alternative to "a reduced space"?

Depending on the context, you might use alternatives like "a smaller area", "a limited space", or "a compact space".

Is it correct to say "reducing space" instead of "a reduced space"?

While "reducing space" describes the action of making a space smaller, "a reduced space" refers to the state of the space after it has been made smaller. Ensure you use the phrase that accurately reflects your intended meaning.

What does "a reduced space" mean in the context of machine learning?

In machine learning, "a reduced space" often refers to "a reduced feature space", where the number of variables or features used to represent data has been decreased to simplify the model or improve its performance.