initial condition of

USAGE SUMMARY

The phrase "initial condition of" is correct and usable in written English.
It can be used in contexts such as mathematics, physics, or any field where a starting point or state is being described. Example: "The initial condition of the system was set to zero to simplify the calculations."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

For the initial condition of model, we set and the other molecular species to be initially absent in the system.

Bioinformatics

Thus, the initial condition of the diffusion PVT cell is.

Petroleum Science

We can never determine the exact initial condition of a ball bouncing on a spring.

SEP

We associate an initial condition of the form x ( t ) = ψ ( t ), − τ ≤ t ≤ 0, (8).

Advances in Difference Equations

The initial condition of the recursive relation is w i  = 1, for all i = 1,…,K.

EURASIP Journal on Advances in Signal Processing

Initial vector can be determined using B-spline approximation of initial condition of the problem.

Mathematical Sciences

The modeled ta distribution also influences the initial condition of γ.

Earth, Planets and Space

differentiable and v = u', and that the second initial condition of (5.1) is fulfilled.

Boundary Value Problems

Note that at the initial condition of i=1,M 1[ n]=0 for n≠1.

EURASIP Journal on Wireless Communications and Networking

Let be a solution of (3.1) with initial condition of the form (3.6).

Advances in Difference Equations

Power loss has been reduced 12.38 % compared to the initial condition of the network.

International Journal of Energy and Environmental Engineering

Expert writing Tips

Best practice

When describing simulations or experiments, clearly define the "initial condition of" your system to ensure reproducibility and understanding.

Common error

Avoid mistakenly using "initial condition of" when you actually mean boundary conditions. Initial conditions specify the state of a system at the beginning, while boundary conditions define the constraints at the edges of the system.

Linguistic Context

The phrase "initial condition of" functions as a noun phrase, specifically identifying the starting state or set of parameters for a process, system, or model. According to Ludwig AI, the phrase is correct and usable in written English.

Expression frequency: Very common

Frequent in

Science

90%

Formal & Business

5%

News & Media

3%

Less common in

Encyclopedias

1%

Wiki

0.5%

Reference

0.5%

Ludwig's WRAP-UP

The phrase "initial condition of" is a grammatically sound and frequently used expression, particularly within scientific and technical contexts. According to Ludwig AI, the phrase is correct and usable in written English. It serves to define the starting point or parameters in a system, experiment, or model, which is crucial for accurate understanding and replication. While alternatives like "starting state of" or "baseline parameters of" exist, "initial condition of" remains a standard and widely accepted term in formal and scientific discourse. Be mindful of differentiating it from boundary conditions to avoid confusion.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

starting state of

Focuses on the state at the beginning, emphasizing the condition as a state rather than a requirement.

initial state of

Synonymous, but emphasizes the state rather than the condition. More formal.

beginning circumstances of

Replaces "condition" with the broader term "circumstances", indicating a wider range of factors.

original setting of

Emphasizes the original arrangement or configuration at the start.

baseline parameters of

More specific, used when referring to quantifiable parameters at the beginning of a process.

preliminary status of

Highlights the status or situation before any changes or actions occur.

incipient phase of

Used to describe the very beginning or early stage of a process or development.

opening configuration of

Focuses on the arrangement or setup at the beginning of a system or process.

original specifications of

More technical, referring to the initial design or requirements.

starting hypothesis of

Applicable when referring to an initial assumption or proposition.

FAQs

How is the phrase "initial condition of" used in scientific writing?

In scientific writing, "initial condition of" is used to describe the starting parameters or state of a system, model, or experiment. It's crucial for reproducibility and understanding the context of the research.

What's a good alternative to "initial condition of"?

Depending on the context, you can use "starting state of", "initial state of", or "baseline parameters of" as alternatives.

Is "initial conditions of" or "initial condition of" more appropriate?

While both are technically correct, "initial condition of" is more common when referring to a singular condition. "Initial conditions of" is used when discussing multiple distinct starting conditions.

How does the "initial condition of" a system affect its outcome?

The "initial condition of" a system is a critical factor that determines its subsequent behavior and outcome. Even small changes in the initial condition can lead to significantly different results, especially in chaotic systems.