the associated equation

USAGE SUMMARY

The phrase "the associated equation" is correct and usable in written English.
It can be used when referring to a specific equation that is related to a particular topic, concept, or problem. Example: "To solve the problem, we need to analyze the associated equation that describes the relationship between the variables."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

Firstly the associated equation is built between individual antenna motion error and inter-antenna baseline motion error.

Neurocomputing

A simple equation and a closed form analytical formula for the determination of the real contact zone length have been derived and compared with the associated equation of the classical (oscillating) interface crack model defining the zone of crack faces interpenetration.

International Journal of Solids and Structures

In the next section, we study the solitary waves with non-zero boundary, give the definition of orbital stability and establish local well-posedness of the associated equation.

Boundary Value Problems

7 shows that, if the limit v is not threshold simple, then this function may not solve the associated equation with a Heaviside firing rate function.

The Journal of Mathematical Neuroscience

Hence, the traditional model has two degrees of freedom (as the associated equation is a quadratic polynomial) exhibiting difficulties to design a stable trajectory path while the new version of the reformulated model has n ≥ 3 degrees of freedom (as the associated equation is an n th order polynomial).

Journal of Economic Structures

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

The associated equations were solved using an iterative solution technique and a one dimensional finite difference method with forward differencing.

International Journal of Heat and Mass Transfer

This study examines various objective functions as well as derives the associated equations to compute the stiffness and damping coefficient.

Journal of Sound and Vibration

Within such contexts, the actual (i.e. current) second moment properties of the vessel mass become very important in the associated equations of motion for a given ship.

Applied Ocean Research

Shape deviations and errors on gears are considered and the associated equations of motion account for time-varying mesh stiffness, and also torsional, flexural and axial couplings.

Journal of Sound and Vibration

The proposed WG approximation method proves to be very powerful and promising to approximately solve various cases of stochastic dynamics and the associated equations of motion accounting for vortex shedding effects, complex wind loads, coupling, nonlinearity and non-stationarity.

Journal of Fluids and Structures

The associated equations including Eqs. (13), (14), (16), (18) and (29) are solved by programming on the MATLAB.

Chinese Journal of Mechanical Engineering

Expert writing Tips

Best practice

When using "the associated equation", ensure that the context clearly establishes what the equation is associated with to avoid ambiguity.

Common error

Avoid using "the associated equation" without clearly specifying what the equation is related to. This can lead to confusion and make your writing less precise.

Linguistic Context

The phrase "the associated equation" functions as a determiner phrase specifying a particular equation that is linked or related to a specific subject, concept, or problem. It often appears in scientific or technical writing to connect a concept with its mathematical representation, as confirmed by Ludwig.

Expression frequency: Rare

Frequent in

Science

100%

News & Media

0%

Formal & Business

0%

Less common in

News & Media

0%

Formal & Business

0%

Science

0%

Ludwig's WRAP-UP

In summary, "the associated equation" is a grammatically correct and usable phrase, predominantly found in formal and scientific writing. It serves to link a concept or problem with its corresponding mathematical equation, aiding in clarity and precision. While Ludwig confirms its correctness, it is essential to ensure clear context to avoid ambiguity. Alternative phrases such as "the corresponding equation" or "the related equation" can be used to add variety, with the primary contexts being Science.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the corresponding equation

Replaces "associated" with "corresponding", implying a direct and clear relationship.

the related equation

Uses "related" instead of "associated", suggesting a connection but possibly less direct.

the linked equation

Emphasizes a link or connection between the item and the equation.

the pertinent equation

Highlights the relevance of the equation to the item in question.

the relevant equation

Similar to "pertinent", stressing the importance and applicability of the equation.

the applicable equation

Focuses on the equation's usability and appropriateness for the given situation.

the governing equation

Implies the equation dictates or controls the behavior of the item.

the defining equation

Suggests the equation is essential for understanding or characterizing the item.

the mathematical representation

Offers a more general term for the equation, highlighting its role as a symbolic depiction.

the formula in question

Replaces "equation" with "formula", suitable if the expression is a well-known or standard one.

FAQs

How can I use "the associated equation" in a sentence?

Use "the associated equation" to refer to a specific equation related to a concept or problem. For example, "To understand the system's behavior, we must analyze "the associated equation"."

What can I say instead of "the associated equation"?

You can use alternatives like "the corresponding equation", "the related equation", or "the governing equation" depending on the specific context.

Which is correct, "the associated equation" or "the associated formula"?

Both "the associated equation" and "the associated formula" are correct, but "equation" is generally used for more complex mathematical relationships, while "formula" is used for simpler, well-defined expressions. The choice depends on the context.

What's the difference between "the associated equation" and "the relevant equation"?

"The associated equation" implies a direct link or correspondence, while "the relevant equation" emphasizes that the equation is particularly important or applicable to the situation at hand.