achieve approximation

USAGE SUMMARY

The phrase "achieve approximation" is correct and usable in written English.
It can be used in contexts where one is discussing the process of getting close to a certain value or result, often in mathematics, science, or engineering. Example: "In order to solve the equation, we need to achieve approximation to the nearest whole number."

✓ Grammatically correct

Science

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Therefore, Algorithm 2 achieves approximation ratio of (frac{1}{c |D^+_I| mu _{max }} 1-frac{1}{e})) under the sub-additive assumption.

Computational Social Networks

The general goal of the issue of moderately exponential approximation is to catch up on polynomial inapproximability by designing superpolynomial algorithms achieving approximation ratios unachievable in polynomial time.

Journal of Discrete Algorithms

Hence, for our envisioned use case of FD-MIMO systems with large N t and (left |mathcal {S}right |), the achieved approximation performance might not be satisfactory.

EURASIP Journal on Wireless Communications and Networking

We use simulations to evaluate the proposed algorithms in terms of the achieved approximation ratio and computational complexity on hierarchical cache network topologies as a model of mobile backhaul networks.

Computer Networks

This problem was shown to be NP-complete and achieving approximation ratios is no easier than computing optimal solutions.

Algorithms for Molecular Biology

The result of their work is twofold: on the one hand, they achieve an approximation order (0(h^5)) for the left method, on the other hand, they achieve another approximation of the order of (0(h^6)) for the right method.

Mathematical Sciences

The sternum was initially reduced using clamps to achieve necessary approximation.

Surgical Case Reports

The parameter learning phase adjusts the interconnection weights of neural network to achieve favorable approximation performance.

Chaos, Solitons & Fractals

As a consequence, our cost sharing methods are simple and achieve attractive approximation ratios.

Theoretical Computer Science

The conditions on the activation function required to achieve our approximation bounds are weaker than those required for interpolation.

Bulletin of Mathematical Sciences

Furthermore, the structure and parameter learning are designed in the ASCFNN identifier to achieve favorable approximation performance.

Applied Soft Computing

Expert writing Tips

Best practice

When using "achieve approximation", be specific about the method or technique used to reach the approximation. For example, "achieve approximation through iterative refinement".

Common error

Avoid using "achieve approximation" without specifying the level of accuracy or the context in which the approximation is relevant. Provide details about the acceptable error range or the specific application.

Linguistic Context

The phrase "achieve approximation" functions as a verb phrase where "achieve" acts as the main verb and "approximation" as its object. As suggested by Ludwig, it describes the action of successfully reaching a close or estimated value.

Expression frequency: Missing

Frequent in

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Less common in

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Ludwig's WRAP-UP

The phrase "achieve approximation" is grammatically sound but infrequent. As Ludwig suggests, it's used to describe successfully reaching an estimated value, often in science or math. Alternatives include "attain approximation" or "reach approximation". While technically correct, specifying the approximation method and context enhances clarity. Due to the lack of real world examples the expert rating is moderate.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

attain approximation

Replaces "achieve" with "attain", suggesting a slightly more formal or deliberate effort to reach the approximation.

obtain approximation

Similar to "attain approximation", using "obtain" to emphasize the process of getting the approximation.

reach approximation

Replaces "achieve" with "reach", focusing on the endpoint of the approximation process.

find approximation

Emphasizes the discovery of an approximation rather than the act of achieving it.

develop approximation

Shifts the focus to the creation or development of an approximation.

derive approximation

Highlights the process of deducing or extracting an approximation.

generate approximation

Focuses on the creation of an approximation through a specific method or algorithm.

calculate approximation

Emphasizes the mathematical process of calculating an approximation.

estimate value

Uses a more general term, "estimate", instead of the more technical term "approximation".

approximate value

Uses "approximate" as a verb, directly describing the act of approximating a value.

FAQs

How can I use "achieve approximation" in a sentence?

You can use "achieve approximation" when describing the process of getting close to a certain value or result, often in mathematics, science, or engineering. For example: "The algorithm helps to achieve approximation of the optimal solution."

What are some alternatives to "achieve approximation"?

You can use alternatives like "attain approximation", "obtain approximation", or "reach approximation" depending on the context.

Is it better to say "achieve approximation" or "approximate the value"?

Both "achieve approximation" and "approximate the value" are grammatically correct, but "approximate the value" might be more direct. The choice depends on the specific nuance you want to convey.

What does it mean to "achieve approximation" in a mathematical context?

In a mathematical context, "achieve approximation" refers to the process of finding a value that is close enough to the true value for a specific purpose, even if it's not exact. Various mathematical methods are then used to "calculate approximation".