by functions

USAGE SUMMARY

The phrase "by functions" is correct and usable in written English.
It can be used to describe actions or processes that are carried out through specific functions or roles within a system or organization. Example: "The data is processed by functions that analyze and categorize the information based on predefined criteria."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

In all, the government has about 20,000 Web sites with 100 million pages, but many are arranged in hierarchies that mirror the bureaucratic structures of agencies, rather than by functions that citizens and businesses are most interested in.

The New York Times

The variation of parameters consists of replacing the constants a and b by functions u1 x) and u2 x) and determining what these functions must be to satisfy the original nonhomogeneous equation.

Encyclopedia Britannica

The lines are the fitting by functions f(x) ~ xα.

Nanoscale Research Letters

Three options of fusion DEMO plant are proposed characterized by functions of the center solenoid (CS).

Fusion Engineering and Design

The normalized forms of the moduli are related by functions of Poisson's ratio.

Journal of Sound and Vibration

A class of multiplicative algorithms, indexed by functions f of derivatives is considered.

Journal of Statistical Planning and Inference

The role of tensors in the continuum is played by functions on G.

Fixed Point Theory and Applications

Therefore, the output power of PV generation and SHE can be described by functions of time.

Journal of Modern Power Systems and Clean Energy

The thermal data was approximated by functions and applied as material data to an analysis by finite element method (FEM).

Fusion Engineering and Design

The paper addresses the evaluation of upper and lower probabilities induced by functions of an imprecise random variable.

International Journal of Approximate Reasoning

The method uses the sum of the multiplications of functions in one direction by functions in the second direction.

Analysis and Design of Plated Structures Dynamics

Expert writing Tips

Best practice

Use "by functions" to clearly indicate that a process or system is organized or operates according to specific roles or actions performed.

Common error

Avoid using "by functions" when you intend to express a direct cause-and-effect relationship. Use phrases like "due to the functions" or "because of the functions" to indicate causality.

Linguistic Context

The phrase "by functions" primarily acts as an adverbial modifier, specifying how an action is performed or a system is organized. It indicates that something is done according to specific roles or operations. Ludwig AI shows that the phrase is frequently used to describe systems or processes.

Expression frequency: Very common

Frequent in

Science

75%

News & Media

10%

Encyclopedias

5%

Less common in

Wiki

3%

Formal & Business

2%

Reference

1%

Ludwig's WRAP-UP

In summary, the phrase "by functions" is a grammatically sound and frequently employed adverbial modifier, particularly within scientific and technical domains. As confirmed by Ludwig AI, it describes how actions are carried out or how systems are organized, emphasizing specific roles or operations. While alternatives like "through functions" or "via functions" exist, "by functions" offers a concise and clear way to express this concept. When writing, ensure that "by functions" is used to specify the operational method rather than to indicate a causal relationship. Its formal tone makes it suitable for academic, scientific, and professional writing contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

through functions

Replaces the preposition "by" with "through", emphasizing the means or channel.

via functions

Uses "via" instead of "by", suggesting a route or intermediary.

using functions

Focuses on the act of using functions as a tool or method.

employing functions

A more formal alternative to "using functions", highlighting the deliberate application of functions.

characterized by functionality

Shifts the focus to the functionality as a defining attribute.

determined by functions

Emphasizes that functions are the deciding factor.

defined through functions

Highlights the functions as a way to define the entity or system.

operating through functions

Focuses on the operational aspect, indicating that functions are the active agents.

mediated by functions

Suggests that functions act as intermediaries or go-betweens.

governed by functions

Implies that functions dictate or control the outcome.

FAQs

How can I use "by functions" in a sentence?

Use "by functions" to describe how something is organized or operates. For example: "The system is categorized "by functions" of the center solenoid."

What are some alternatives to the phrase "by functions"?

Alternatives include "through functions", "via functions", or "using functions depending" on the nuance you want to convey.

Is it correct to say 'organized by functions' or 'organized according to functions'?

Both are grammatically correct, but 'organized "by functions"' is more concise. 'Organized according to functions' adds a slight emphasis on adherence to a pre-defined structure.

What's the difference between 'defined by functions' and 'characterized by functions'?

'Defined "by functions"' suggests that the functions are essential to its very nature, while 'characterized "by functions"' implies that the functions are prominent or distinctive features.