upper complexity

USAGE SUMMARY

The phrase "upper complexity" is not commonly used in written English and may not be clear in meaning.
It could be used in contexts discussing levels of complexity, particularly in technical or academic writing, but it may require further clarification. Example: "The upper complexity of the algorithm makes it challenging to implement in real-time systems."

Science

Artificial Intelligence

EPJ Data Science

Fixed Point Theory and Applications

Journal of Big Data

BMC Genomics

Plosone

Forest Ecosystems

EURASIP Journal on Wireless Communications and Networking

Theoretical Computer Science

BMC Psychiatry

Algorithms for Molecular Biology

Bioinformatics

Biology Direct

Encyclopedia Britannica

Journal of Computer and System Sciences

EURASIP Journal on Advances in Signal Processing

Future Generation Computer Systems

Automatica

IFAC Proceedings Volumes

Data Science and Engineering

Critical Care

BMC Evolutionary Biology

BMC Biology

WikiHow

The New York Times

Forbes

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

We provide matching lower and upper complexity bounds on disclosure analysis, in the process introducing a number of techniques for analysing logical privacy issues in ontology-based data integration.

Artificial Intelligence

For sparse graphs, this process has an upper complexity bound of (mathcal{O} mcdot log(m cdot s_{C}^{max})), where (s_{C}^{max}) is the maximum number of neighbour communities that a community may have at any time of the process.

EPJ Data Science

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

The aforesaid technique was applied successfully toyield lower and upper asymptotic complexity bounds of Hanoi and Fibonacci in the samereferences.

Fixed Point Theory and Applications

The method introduced by Schellekens allows to show that the Divide and Conquer recurrence equation (1) has a unique solution and, in addition, to provide an upper asymptotic complexity bound of such a solution.

Fixed Point Theory and Applications

The upper-bound complexity of the estimation process in large scale networks was changed from (Oleft( {sqrt {frac{a}{updelta }} } right)) to (left( {sqrt {frac{a}{updelta - m}} } right)), where a is the graph's average degree, (delta) is the given threshold, and m is reciprocal to the number of reduced nodes.

Journal of Big Data

As complex complexity increases the upper bound for mean lengths of proteins drops (before 20 unique proteins) and levels out at ~510 amino acids for more complex complexes.

BMC Genomics

Since it was not known whether the U1-snRNA from Giardia was typical with conserved structure similar to human U1, or reduced like U1 from T. brucei [38], a relaxed model was set using the structural information from both the human and T. brucei U1-snRNA with human U1-snRNA as the upper limit of complexity and T. brucei U1-snRNA as the lower limit of complexity (Figure 1B).

Plosone

There is no upper limit to complexity.

Forest Ecosystems

Thereby, this will allow us to upper bound the complexity of the candidate ranking by (mathcal {O} (|S_{n}|^{2})) operations.

EURASIP Journal on Wireless Communications and Networking

We also present a tableau calculus for deciding ALC+Tmin entailment that allows to give a complexity upper bound for the logic, namely that query entailment is in co-NExpNP.

Artificial Intelligence

We study the approximation of min set cover combining ideas and results from polynomial approximation and from exact computation (with non-trivial worst case complexity upper bounds) for NP-hard problems.

Theoretical Computer Science

Expert writing Tips

Best practice

When discussing algorithms or computational processes, clearly define what aspects of the algorithm contribute to the "upper complexity" to avoid ambiguity. For example, specify whether you're referring to time complexity, space complexity, or another metric.

Common error

Avoid using the term "upper complexity" without specifying the context. Since complexity can refer to various attributes (e.g., computational, structural), failing to clarify which aspect you're addressing can lead to confusion. Instead, specify 'upper bound of computational complexity' or 'maximum structural complexity'.

Linguistic Context

The phrase "upper complexity" primarily functions as a descriptor, indicating a maximum limit or bound on the degree of intricacy or difficulty. The phrase describes the limit of a certain computational or system aspect. As Ludwig AI points out, the phrase is infrequent and can be ambiguous.

Expression frequency: Rare

Frequent in

Science

60%

Artificial Intelligence

15%

Algorithms for Molecular Biology

5%

Less common in

News & Media

5%

Formal & Business

5%

Encyclopedias

5%

Ludwig's WRAP-UP

In summary, "upper complexity" is a phrase used to define a limit on intricacy, particularly in technical and scientific contexts. While grammatically acceptable, Ludwig AI indicates it's relatively rare and can be ambiguous without specific context. It's most frequently found in scientific publications and academic discussions. Related terms include "maximum complexity" and "complexity ceiling". When using this phrase, ensure clarity by specifying the type of complexity being discussed (e.g., computational, structural) to avoid confusion. Finally, be aware that, according to Ludwig AI, in certain contexts the expression might require rephrasing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

maximum complexity

Focuses on the highest level of intricacy or difficulty achievable or permissible.

complexity ceiling

Emphasizes the existence of a limit to the level of intricacy.

computational complexity bound

Specifically refers to the limit in computational resources required.

time complexity limit

Highlights the constraint on the computational time required.

asymptotic complexity upper bound

A more formal term used in algorithm analysis, indicating the maximum growth rate of an algorithm's complexity.

maximum degree of complexity

Specifies the highest possible degree of intricacy.

highest level of intricacy

Refers to the topmost echelon of detail and sophistication.

upper bound of computational cost

Focuses on limiting the expense or resources needed for computation.

peak complexity

Implies the maximum level of intricacy reached at a certain point.

limit of sophistication

Indicates the boundary beyond which increased complexity is not possible.

FAQs

What does "upper complexity" mean in the context of algorithms?

In algorithm analysis, "upper complexity" typically refers to the "asymptotic upper bound" on the resources (e.g., time, space) required by the algorithm. It represents the worst-case scenario for the algorithm's resource consumption as the input size grows.

How does "upper complexity" relate to the efficiency of an algorithm?

The "upper complexity" provides a measure of how the algorithm's resource usage scales with the input size. A lower "upper complexity" indicates that the algorithm is more efficient, as it requires fewer resources for larger inputs.

What are some alternatives to saying "upper complexity"?

Depending on the context, you can use alternatives like "maximum complexity", "complexity ceiling", or "computational complexity bound" to convey a similar meaning.

Is there a difference between "upper complexity" and "lower complexity"?

Yes. "Upper complexity" refers to the worst-case scenario, while "lower complexity" refers to the best-case scenario. Together, they provide a range within which the algorithm's resource usage will fall.