the subsequent equation

USAGE SUMMARY

The phrase "the subsequent equation" is correct and usable in written English.
It can be used when referring to an equation that follows another in a sequence or context, often in mathematical or scientific discussions. Example: "To solve the problem, we first need to understand the initial conditions, and then we can apply the subsequent equation to find the solution."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

The nonlinear form of the Langmuir isotherm model is represented by the subsequent equation: Q_{text{eq}} = (Q_{0} bC_{text{e}} )/(1 + bC_{text{e}} ) (4).

Applied Water Science

Synthetic biology requires a precision comparable to that involved during the evolution of mathematical equation which follows a logical course where the subsequent equation arises from the preceding one.

Omics Technologies and Bio-Engineering Towards Improving Quality of Life

The implicit Crank-Nicolson technique is then applied to the resulting approximation, and the subsequent equation is split into two alternating direction sweeps, giving rise to a new axisymmetric ADE scheme.

Journal of Rock Mechanics and Geotechnical Engineering

R L is computed by means of the subsequent equation R_{text{L}} = frac{1}{{1 + K_{text{L}} C_{0} }}, (15 where C 0 is the initial As V) concentration (mg L−1).

Applied Water Science

The adsorption amount was calculated via the subsequent equation: q = frac{{(C_{0} - C_{text{e}} )V}}{m} (1)The sorption efficiency, A %, of the Congo red dye was calculated from: Aleft( % right) = frac{{(C_{0} - C_{text{e}} )V}}{{C_{0} }}, (2 where C0 and Ce are initial and equilibrium concentrations Congo red dye in mg/L, V is the volume of solution in mL and m is the amount of adsorbent in mg.

International Nano Letters

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

Remark 4.3 The subsequent equations describe the identification process when the identified process is linear in the parameters as well as the estimation parallel process.

Fixed Point Theory and Applications

Since t is a time, the division by τ k j ensures that α k j ( t ) is a dimensionless quantity: this eases the legibility of the subsequent equations on physical grounds (dimensionality of physical quantities).

The Journal of Mathematical Neuroscience

The estimated parameters of one subproblem are then considered known in the subsequent equations.

BioMed Research International

However, cell growth is considerably slower (with doubling times on the order of hours) and hence we solve the subsequent equations for cdr2p with each cell size considered to be in quasi-steady-state.

eLife

The inclusion is conditioned by fulfilling subsequent equation: T j, j ∈ A i i > T S i (8).

EURASIP Journal on Wireless Communications and Networking

In the subsequent text, Equation 1 will be termed as Model ADE, which includes three genetic components (a, d, and i).

G3: Genes, Genomes, Genetics

Expert writing Tips

Best practice

When using "the subsequent equation", ensure the context clearly establishes which previous equation it refers to. Use numbering or clear references to avoid ambiguity.

Common error

Avoid using "the subsequent equation" without a clear antecedent. Always ensure that the reader can easily identify which previous equation you are referring to. Numbering equations or using specific labels can improve clarity.

Linguistic Context

The phrase "the subsequent equation" functions as a determiner phrase identifying a specific equation within a sequence or a logical progression. The word 'subsequent' modifies 'equation' to indicate its position relative to a previously mentioned equation, as demonstrated by Ludwig examples.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

The phrase "the subsequent equation" is a grammatically sound and usable phrase, though it appears relatively rarely, according to Ludwig. Primarily utilized in scientific and academic contexts, its purpose is to reference an equation that follows logically or sequentially from a previous one. To enhance clarity, ensure the context makes clear which equation is being referenced. The phrase is suitable for formal writing, particularly in mathematical or scientific discussions. Ludwig's examples confirm its proper usage in academic and research papers.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the following formula

Replaces 'equation' with 'formula', implying a more specific mathematical expression.

the next equation

Uses 'next' instead of 'subsequent', indicating a direct sequence.

the succeeding equation

Employs 'succeeding' for a more formal tone, highlighting the sequential nature.

the equation that follows

Rephrases the sentence structure to emphasize the sequential order.

the successive equation

Replaces 'subsequent' with 'successive', denoting a chain of equations.

the resulting equation

Focuses on the equation as an outcome or consequence of a previous step.

the consequent equation

Highlights the logical relationship, implying that the equation is a direct result.

the subsequent mathematical expression

Substitutes 'equation' with the broader term 'mathematical expression'.

the equation below

Indicates the equation's position relative to the current text.

the later equation

Uses 'later' to indicate an equation that appears at a later point.

FAQs

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

You can use "the subsequent equation" to refer to an equation that follows another in a logical or sequential order. For example, "After applying the initial formula, we then use the subsequent equation to refine our results."

What is a good alternative to "the subsequent equation"?

Alternatives include "the following equation", "the next equation", or "the resulting equation depending on the context".

Is it better to say "the following equation" or "the subsequent equation"?

Both "the following equation" and "the subsequent equation" are grammatically correct and largely interchangeable. The choice depends on personal preference and the specific context, although "subsequent" can imply a stronger sense of logical consequence.

What does "subsequent" mean in the context of equations?

In the context of equations, "subsequent" means following in time or order. "The subsequent equation" refers to the equation that comes after the one currently being discussed.