order of growth

USAGE SUMMARY

The phrase "order of growth" is correct and usable in written English.
It is typically used in mathematical contexts, particularly in computer science, to describe the rate at which a function grows relative to another function as the input size increases. Example: "The algorithm has a time complexity of O(n^2), indicating a quadratic order of growth."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

They are listed in reverse order of growth.

The New York Times

Then, w has order of growth equal to n + 2 2.

Journal of Inequalities and Applications

We observe that all the above results concern the order of growth only.

Journal of Inequalities and Applications

No configurations of interpolation points obeying this order of growth are known.

Journal of Inequalities and Applications

The result also holds for functions of a certain order of growth.

Journal of Inequalities and Applications

All meromorphic solutions of algebraic differential equation ( 1.1) have finite order of growth, when k = 1.

Advances in Difference Equations

On the simplex, the minimal order of growth is not even known.

Journal of Inequalities and Applications

Then the order of growth (rho(f leqfrac{log2}{log vert qvert }).

Advances in Difference Equations

Here (rho(g)) denotes the order of growth of the meromorphic function (g z)).

Advances in Difference Equations

This implies that all meromorphic solutions of (1.3) are of zero order of growth.

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

1 human-written examples

To address the time complexity overhead of our defense, we have to examine the algorithm it uses before we can identify the order-of-growth category it belongs to.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When discussing algorithms, use "order of growth" to precisely describe how runtime or space requirements scale with input size, using Big O notation (e.g., O(n), O(log n)) to quantify the relationship.

Common error

Avoid using "order of growth" to describe the actual size of a dataset or the exact runtime of an algorithm. Instead, reserve it for expressing how the resources required by an algorithm change as the input size increases. For example, do not say 'The dataset has an order of growth of 10GB'. Instead, specify the actual size (10GB) and use "order of growth" only when discussing algorithmic scaling.

Linguistic Context

The phrase "order of growth" functions as a noun phrase that typically serves as a descriptor or qualifier in a sentence. It identifies the way in which a quantity increases, often in relation to another variable. Ludwig AI confirms this pattern.

Expression frequency: Very common

Frequent in

Science

79%

News & Media

8%

Formal & Business

6%

Less common in

Encyclopedias

3%

Wiki

2%

Reference

2%

Ludwig's WRAP-UP

The phrase "order of growth" is a noun phrase primarily used in scientific and technical contexts to describe how a quantity increases relative to another, often in algorithm analysis. Ludwig AI analysis confirms that the phrase is grammatically correct and frequently used. It's crucial to use "order of growth" to describe the scaling behavior of algorithms rather than absolute sizes. Alternatives include "growth rate" and "scaling behavior", but "order of growth" is preferred for its precision in technical discussions. The most common contexts are science, news and media and formal and business. Usage indicates formal and scientific register.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

growth rate

This alternative focuses specifically on the speed at which something increases.

rate of increase

This alternative emphasizes the pace at which something is becoming larger or more extensive.

expansion rate

This term is suitable when describing the speed of enlargement or broadening.

progression speed

This option highlights the velocity of advancement or development.

scale of increase

This emphasizes the magnitude or extent of the growth.

magnitude of expansion

This focuses on the size or degree of the enlargement.

pace of development

This refers to the speed at which something is evolving or maturing.

extent of increase

This highlights the range or scope of the growth.

degree of expansion

This focuses on the level or intensity of the enlargement.

level of progression

This alternative emphasizes the stage or degree of advancement.

FAQs

How do I use "order of growth" in a sentence?

You can use "order of growth" to describe how the time or space requirements of an algorithm scale with the input size. For instance, "The algorithm has a linear "order of growth", O(n)", meaning its runtime increases linearly with the input size.

What's the difference between "order of growth" and "growth rate"?

"Order of growth" is often used in computer science to describe how an algorithm's resource usage scales with input size, typically using Big O notation. "Growth rate" is a more general term applicable to various contexts, such as population or economic expansion. While both refer to increase, "order of growth" has a specific mathematical connotation in algorithms.

Which is more precise, "order of growth" or "rate of growth"?

"Order of growth" is more precise in technical contexts like algorithm analysis, where it refers to a specific mathematical representation of scaling behavior. "Rate of growth" is a broader term, but in mathematical contexts using "order of growth" is more accurate.

What are some alternatives to using "order of growth"?

Depending on the context, you could use alternatives like "growth rate", "scaling behavior", or "asymptotic complexity". For example, instead of saying "The algorithm has a polynomial "order of growth"", you could say "The algorithm exhibits polynomial scaling behavior".