designed using linear

USAGE SUMMARY

The phrase "designed using linear" is correct and usable in written English.
It can be used when describing a design process or methodology that incorporates linear elements or principles. Example: "The software was designed using linear algorithms to optimize performance and efficiency."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

11 human-written examples

The layout so selected is optimally designed using linear programming.

Procedia Engineering

The FBs are designed using linear and nonlinear programming.

Signal Processing

Polarization encoded multi-valued (both ternary and quaternary logic) shift operators have been designed using linear optical devices only.

Optics Communications

A two degree-of-freedom controller was synthesized with a stabilizing feedback controller designed using linear matrix inequality techniques and a zero phase error tracking feedforward controller.

IFAC Proceedings Volumes

Then, quadratically stabilizing switching controller with a given H∞ disturbance attenuation level is designed using linear matrix inequalities (LMI) for the design model.

Analysis and Design of Hybrid Systems 2006

A feedback controller has been designed using linear quadratic regulator with prescribed degree of stability to stabilize the decentralized linear time varying systems.

Electric Power Systems Research

Human-verified similar examples from authoritative sources

Similar Expressions

49 human-written examples

"Selecting Systolic Designs Using Linear Transformations of Space-Time," (with P. R. Cappello), Proc. of SPIE - The International Society for Optical Engineering, vol. 495, Real Time Signal Processing VII, pp. 75-85, Aug. 21-22 , 1984

Princeton University

The experimental design was based on Box Behnken design using linear and quadratic polynomial equations for predicting the mathematical models.

Optics & Laser Technology

This article proposes a novel approach to construct optimal balanced multi-level supersaturated designs using linear integer programming.

Statistics & Probability Letters

The member-based design using linear analysis and the effective length assumption is replaced by the iterative second-order analysis.

Journal of Constructional Steel Research

The experimental design was based on four-factor, five-level central composite rotatable design using linear and quadratic polynomial equations for proposing the mathematical model.

Vacuum

Expert writing Tips

Best practice

When describing technical designs, be specific about which aspects were achieved with linear methodologies. For instance, clarify if it was the control system, the optimization algorithm, or the structural layout that was "designed using linear" techniques.

Common error

Do not assume the audience understands the specific linear techniques involved. Instead of simply stating something was "designed using linear" methods, briefly mention the key linear principles applied, such as linear regression or linear programming, for clarity.

Linguistic Context

The phrase "designed using linear" functions as a descriptive element, indicating the methodology or approach employed in the creation or development of something. It specifies that linear principles or methods were integral to the design process. Ludwig AI confirms the validity and usability of this phrase.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "designed using linear" is grammatically correct and mainly used in technical and scientific contexts to specify that a design incorporates linear methodologies, as confirmed by Ludwig AI. While the phrase itself is valid, it's important to provide context about which specific linear methods were applied, as recommended in the writing guidance. Alternatives like "created with linear techniques" or "developed using linear methods" can be used to add variety, but the core meaning remains consistent. Given its prevalence in technical literature, understanding the phrase and its proper application enhances clarity in technical communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

created with linear techniques

Focuses on the techniques employed rather than the design process itself.

developed using linear methods

Emphasizes the developmental aspect of the process.

constructed through linear approaches

Highlights the construction or building aspect.

engineered via linear strategies

Implies a more technical or complex design.

built upon linear principles

Stresses the fundamental concepts guiding the design.

fashioned with linear models

Specifies the use of linear models in the creation.

formulated using linear equations

Focuses on the mathematical aspect of the design.

structured by linear frameworks

Emphasizes the organizational structure.

implemented with linear procedures

Highlights the practical steps taken in the implementation.

realized through linear processes

Focuses on the process aspect of achieving the design.

FAQs

How is "designed using linear" used in technical writing?

In technical writing, "designed using linear" indicates that linear methods, such as linear regression or linear programming, were employed in the design process. It's important to specify which aspect of the design used these linear techniques.

What are some alternatives to "designed using linear"?

Alternatives include "created with linear techniques", "developed using linear methods", or "constructed through linear approaches", depending on the context.

Is it correct to say "designed using a linear approach"?

Yes, "designed using a linear approach" is grammatically correct. However, "designed using linear" is more concise and commonly used, especially in technical contexts.

What does it mean when something is "designed using linear programming"?

It means that "linear programming", a mathematical method for optimizing a linear objective function subject to linear equality and inequality constraints, was used to determine the design parameters.