corresponding to zero

USAGE SUMMARY

The phrase 'corresponding to zero' is correct and usable in written English.
You can use it when describing a number that is equal to, or represents, nothing or the absence of a value. For example, "The temperature dropped corresponding to zero degrees Celsius during the cold winter night."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

55 human-written examples

We note that if there is no zero state, we exploit the same way of solving the differential equation, by assuming Q =0 corresponding to zero state.

EURASIP Journal on Wireless Communications and Networking

The spin speed corresponding to zero eigenfrequency of a particular mode is the critical speed for that mode.

Journal of Sound and Vibration

Critical speeds corresponding to zero natural frequencies as observed in the inertial reference frame are found in free vibration.

Journal of Sound and Vibration

We developed a mixed-integer optimization model to determine the minimum sale price of granulated manure, i.e., price corresponding to zero net present value (NPV = 0).

Agricultural Systems

It was shown in [4] that such systems can be exactly controllable with the help of internal controls applied to the equations corresponding to zero eigenvalues.

Acta Mathematica Scientia

However, it is possible that, for physical or engineering reasons, we can not put any control on the equations corresponding to zero eigenvalues.

Acta Mathematica Scientia

Human-verified similar examples from authoritative sources

Similar Expressions

5 human-written examples

Theorems 3 and 4 claim that the minimal polynomial of a general matrix A, denoted by ψ A (z) is just the denominator of F z) involving f n =w H A n u, and it coincides with the characteristic polynomial of (T_{l}^{(n)}) denoted by ϕ T (z), except for the factor corresponding to zero-eigenvalues.

Pacific Journal of Mathematics for Industry

In order to confirm the presence of the Pt shell, Au Pt nanoparticles (Au Pt = 1 1) are generated on quartz surface (transparent to UV) which shows a surface plasmon peak ~222 nm (Fig. 2b) corresponding to zero-valent platinum [28].

Nanoscale Research Letters

When n has a value of 1, the release of the drug substance is independent of the concentration and time, corresponding to zero-order release kinetics.

BioMed Research International

Ridge lines in Du et al. (2006) are similar to Ridge lines in Figure 1f, corresponding to zero-crossing line in Gaus3 which should not be used because of its high error in calculating parameters of peaks.

Bioinformatics

Another type of Gaussian color model has been proposed by Koenderink and later used by Geusebroek and his co-workers (Burghouts and Geusebroek 2009) with receptive fields defined over the spectrum of wavelengths in the color spectrum, corresponding to zero-, first-, and second-order derivatives with respect to wavelength.

Biological Cybernetics

Expert writing Tips

Best practice

When using "corresponding to zero" in technical writing, ensure the context clearly defines what "zero" represents. For instance, specify if it refers to zero temperature, zero voltage, or the absence of a specific element.

Common error

Avoid assuming a universal understanding of "zero". Always clarify the units or the specific condition that "zero" refers to, particularly in interdisciplinary contexts where "zero" might have different meanings.

Linguistic Context

The phrase "corresponding to zero" functions as a prepositional phrase that modifies a noun or clause, indicating a direct relationship or equivalence to a null value. As Ludwig AI explains, the phrase is correct and usable in written English.

Expression frequency: Very common

Frequent in

Science

99%

News & Media

0.5%

Formal & Business

0.5%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "corresponding to zero" is a grammatically sound and frequently used expression, particularly within scientific and technical domains. As confirmed by Ludwig AI, its purpose is to denote a direct relationship to a null value, often indicating a baseline or absence of a specific element. While alternatives such as "equivalent to zero" or "at the baseline" exist, "corresponding to zero" maintains its clarity and precision in formal writing. When using this phrase, it is important to specify the context in which "zero" is defined to avoid any misinterpretations, with the usage of "corresponding to zero" being primarily within scientific contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

equivalent to zero

Focuses on the equality to a null value, emphasizing mathematical or logical equivalence.

equal to zero

Highlights the quantitative aspect of being at a zero value, suitable for numerical contexts.

returning a null value

Refers to a situation where a function or process produces no result, which can be interpreted as zero.

representing nil

Uses the term "nil" to describe a state of nothingness, similar to zero.

at the baseline

Indicates a starting point or initial condition where a measurement or value is considered to be zero.

denoting absence

Highlights the function of representing a lack or non-existence, corresponding to zero.

at a standstill

Implies a cessation of movement or activity, aligning with the idea of zero change or progress.

vanishing to zero

Describes a process of something becoming zero, emphasizing the transition to nothing.

indicating none

Suggests a situation where there is no presence or quantity of something, related to the concept of zero.

when there is nothing

Emphasizes the absence of something, correlating to the concept of zero quantity.

FAQs

How can I use "corresponding to zero" in a sentence?

You can use "corresponding to zero" to describe a state where a value is equal to zero. For example, "The measured stagnation temperature, "corresponding to zero" cooling power, was lower."

What are some alternatives to the phrase "corresponding to zero"?

Alternatives include "equivalent to zero", "equal to zero", or "at the baseline", depending on the specific context.

Is "corresponding to zero" grammatically correct?

Yes, "corresponding to zero" is grammatically correct and widely used, especially in scientific and technical writing.

In what contexts is "corresponding to zero" most commonly used?

The phrase is frequently used in contexts where precise measurements and baseline values are important, such as in scientific research, engineering, and finance.