quadratic type

USAGE SUMMARY

The phrase "quadratic type" is correct and usable in written English.
It can be used in mathematical contexts, particularly when discussing equations, functions, or forms that are quadratic in nature. Example: "The equation x^2 + 5x + 6 is a classic example of a quadratic type."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

15 human-written examples

To be specific, a polyconvex Helmholtz free energy function together with a yield function of quadratic type is adopted.

International Journal of Solids and Structures

This study deals with nonlinear oscillators whose restoring force has a polynomial nonlinearity of the cubic or quadratic type.

International Journal of Non-Linear Mechanics

By introducing the mapping technique, a block of quadratic type in the cylindrical/polar coordinate systems is transformed into the normalised space with eight seeds.

Engineering Structures

Regression analyses between crop yields and SQI values showed a quadratic type of relation with the coefficient of determination (R2) varying from 0.78 to 0.89.

Pedosphere

Plots of the response curves reveal some complicated and interesting variation of the amplitudes of different harmonic terms, especially in the case of an unsymmetrically layered beam in which a quadratic type of non-linearity is observed.

Journal of Sound and Vibration

Most existing iterative techniques, both those having a linear and those having a quadratic type of convergence, rely on the fast Fourier transform ( FFT) algorithm for calculating a convolution integral which represents the most time-consuming phase of the computation.

Journal of Computational Physics

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

We show that the framework of abstract interpretation elegantly applies to the formalization of these further abstractions, and to the implementation of linear or quadratic time type checking as well as type inference algorithms.

Theoretical Computer Science

In this paper we begin by assuming that an observer with a corresponding quadratic-type Lyapunov function has been designed for a given nonlinear system.

Automatica

In this paper the statistical properties of quadratic-type performance indices used in the analysis of performance of univariate and multivariate processes are derived.

Journal of Process Control

The paper develops a numerical method based on the interacting particles approximation (propagation of chaos) for the solution of a large class of evolution problems involving the fractional Laplacian operator and a non-local quadratic-type non-linearity.

Journal of Computational Physics

Based on a neural network (NN) online approximation model, a novel adaptive neural controller is obtained by constructing a novel quadratic-type Lyapunov Krasovskii functional, which not only efficiently avoids the controller singularity, but also relaxes the restriction on unknown virtual control coefficients.

Automatica

Expert writing Tips

Best practice

When using "quadratic type", ensure the context clearly indicates that you are referring to a relationship, equation, or function that involves a variable raised to the second power. Be specific about what exhibits this quadratic nature.

Common error

Avoid using "quadratic type" in contexts where a linear or exponential relationship is more appropriate. Always verify the mathematical nature of the relationship before applying this descriptor.

Linguistic Context

The phrase "quadratic type" functions as an adjective phrase that modifies a noun. It describes the nature or characteristic of something as being related to a quadratic relationship or equation. Ludwig AI indicates it is usable in mathematical contexts.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "quadratic type" is a grammatically correct term, primarily utilized in scientific and academic contexts to describe relationships or equations that exhibit a quadratic nature. Ludwig AI confirms its validity for mathematical descriptions. While alternatives like "quadratic form" or "quadratic function" might be more precise in specific scenarios, "quadratic type" serves as a useful descriptor when the focus is on the general characteristic of being quadratic. Therefore, it's crucial to ensure the context accurately reflects a relationship where one variable depends on the square of another to prevent misinterpretations.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

quadratic form

Focuses on the mathematical expression rather than the general classification.

quadratic expression

Highlights the mathematical expression aspect.

quadratic function

Specifies that it's a function with a quadratic relationship.

second-degree polynomial

Uses a more formal mathematical term.

polynomial of degree two

States the degree of the polynomial explicitly.

square-law dependence

Emphasizes the relationship where one variable depends on the square of another.

second-order type

Uses 'order' instead of 'degree', implying a system or process.

equation of quadratic nature

Rephrases to emphasize the nature or characteristic of the equation.

quadratic characteristic

Emphasizes the feature or attribute being quadratic.

squared dependence

Highlights the relationship where one variable depends on the square of another.

FAQs

How can I use "quadratic type" in a sentence?

You can use "quadratic type" to describe relationships or equations, such as: "The regression analysis showed a "quadratic type" of relation between crop yields and soil quality".

What's the difference between "quadratic type" and "quadratic form"?

"Quadratic type" refers to the general nature or characteristic of something being quadratic, while "quadratic form" is a specific mathematical expression. Use "quadratic form" when referring to the exact algebraic structure.

Are there alternatives to the phrase "quadratic type"?

Yes, depending on the context, you could use "quadratic form", "quadratic function", or "second-degree polynomial".

In what fields is the term "quadratic type" commonly used?

The term "quadratic type" is most frequently used in mathematics, physics, engineering, and statistics to describe relationships and models that involve squared variables.