using linear techniques

USAGE SUMMARY

The phrase "using linear techniques" is correct and usable in written English.
It can be used in contexts where you are describing methods or approaches that involve linearity, such as in mathematics, statistics, or problem-solving. Example: "The researchers conducted their analysis using linear techniques to model the relationship between the variables."

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

Hence, the coefficients w i, denoting both the equalizer and the predistorter weights, can be estimated using linear techniques.

EURASIP Journal on Advances in Signal Processing

Power analysis indicates that an overall sample size of 121 is required to detect a medium effect size (approx.70) at the.05 alpha level using linear techniques (power = .80).80

BMC Psychiatry

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

The model was developed by aggregating its constituents using linear aggregation techniques based on subjective weightings using Delphi technique.

Sustainable Cities and Society

This paper proposes an optimal design of single tuned shunt passive filter for the Underground Ramsis Metro Substation URMSS) using linear programming technique as a conventional technique and fuzzy linear programming (FLP) technique as a modern technique.

Electric Power Systems Research

Supervisors are designed by using linear programming techniques.

IFAC Proceedings Volumes

The file must be identified and the data processed for intermediate points along each radial using linear interpolation techniques.

Cornell University

A procedure to find a solution to this problem is formulated using linear programming techniques.

Journal of Computational Physics

Robust model-based controllers are designed for both systems using linear Nyquist techniques, and are implemented experimentally.

Journal of Sound and Vibration

Calibrated backscatter spectra from regions-of-interest (ROI) were analyzed using linear regression techniques to calculate the spectral slope and midband fit.

Ultrasound in Medicine & Biology

In [10 14], BSs act as distributive antenna systems to make collaborative MIMO transmissions using linear precoding techniques.

EURASIP Journal on Wireless Communications and Networking

By using linear processing techniques that require minimum computational complexity, the communication power is minimized at no additional hardware cost.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When writing about statistical analysis or mathematical modeling, ensure that the term "using linear techniques" is followed by specific examples of those techniques to provide clarity and context.

Common error

Avoid using "using linear techniques" as a vague placeholder. Always specify which linear techniques are being employed (e.g. linear regression, linear programming) to enhance the reader's understanding.

Linguistic Context

The phrase "using linear techniques" functions as a verb phrase followed by an adjective and a noun, indicating the application of specific methodologies. According to Ludwig AI, it's a grammatically correct way to describe employing linear methods.

Expression frequency: Rare

Frequent in

Science

50%

Academia

50%

Formal & Business

0%

Less common in

News & Media

0%

Wiki

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, "using linear techniques" is a grammatically sound phrase used to describe the application of methods relying on linear principles, as confirmed by Ludwig AI. While relatively rare, it's predominantly found in scientific and academic contexts, indicating a formal register. To ensure clarity, always specify the particular linear techniques being employed. Consider alternatives like "applying linear methods" or "utilizing linear approaches" for variety. Despite its correctness, provide context to avoid vagueness.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

applying linear methods

Replaces "techniques" with "methods", a direct synonym, maintaining the emphasis on linear approaches.

employing linear strategies

Substitutes "techniques" with "strategies", suggesting a more planned or deliberate approach.

utilizing linear approaches

Replaces "using" with "utilizing" for a more formal tone and "techniques" with "approaches".

implementing linear algorithms

Specifically refers to "algorithms", implying a computational context.

adopting linear procedures

Focuses on "procedures", suggesting a more standardized or systematic method.

leveraging linear solutions

Suggests using linear methods to find "solutions", implying a problem-solving context.

working with linear models

Shifts focus to "models", indicating the use of linear representations.

performing linear analysis

Highlights the analytical aspect of using linear methods.

applying linear transformations

Emphasizes the use of linear "transformations", common in mathematical contexts.

engaging linear tactics

Implies a strategic or tactical application of linear methods.

FAQs

How can I rephrase "using linear techniques" in a research paper?

You can use alternatives like "applying linear methods", "employing linear strategies", or "utilizing linear approaches" depending on the specific context.

What are some examples of common linear techniques?

Common linear techniques include linear regression, linear programming, linear interpolation, and solving systems of linear equations.

When is it appropriate to use "using linear techniques" in scientific writing?

It is appropriate when describing the application of methods that rely on linear relationships or models, especially in fields like statistics, engineering, and physics.

What's the difference between "using linear techniques" and "using non-linear techniques"?

"Using linear techniques" refers to methods that assume a linear relationship between variables, while "using non-linear techniques" involves methods that account for more complex, non-linear relationships.