a transform of

USAGE SUMMARY

The phrase "a transform of" is correct and usable in written English.
It can be used in mathematical or technical contexts to refer to a change or conversion of a function or data set. Example: "The Fourier transform of a signal allows us to analyze its frequency components."

✓ Grammatically correct

Science

Encyclopedias

Wiki

Human-verified examples from authoritative sources

Exact Expressions

12 human-written examples

Let be the th term of the A transform of the partial sums of.

Journal of Inequalities and Applications

As a transform of an integrable complex-valued function f of one real variable, it is the complex-valued function f ˆ of a real variable defined by the following equation In the integral equation the function f (y) is an integral transform of F x), and K x,y) is the kernel.

Encyclopedia Britannica

For example, "The workers rejected the ultimatum" is a kernel sentence that may be transformed into the nonkernel sentences "The ultimatum was rejected by the workers" or "Did the workers reject the ultimatum?" Each of these may be described as a transform of the kernel sentence from which it is derived.

Encyclopedia Britannica

First, every completely positive definite "function" on a locally compact quantum group G arises as a transform of a positive functional on the universal C⁎-algebra Cu0 ˆG) of the dual quantum group.

Journal of Functional Analysis

Therefore if they are satisfied by one spacetime, they must also be satisfied by a transform of that spacetime that shares all the original's invariant geometric properties.

SEP

Typically, these embed a pseudorandom sequence generated by a random number generator (RNG) in the video stream or a transform of it.

EURASIP Journal on Advances in Signal Processing

Human-verified similar examples from authoritative sources

Similar Expressions

48 human-written examples

We say that a sequence x = [x jk ] is A-summable to the limit ℓ if the A- transform of x = [x jk ] exists for all m, n = 0,1,... and is convergent to ℓ in the Pringsheim sense, i.e., lim p, q → ∞ ∑ j = 0 p ∑ k = 0 q a j k m n x j k = y m n. and lim m, n → ∞ y m n = ℓ.

Journal of Inequalities and Applications

A transfer function is a Laplace transform of a linear ordinary differential equation of constant coefficients with zero initial conditions.

BMC Systems Biology

In the relay phase, each relay transmits a linear transform of a set of source codewords.

EURASIP Journal on Wireless Communications and Networking

In this technique the instantaneous speckle intensity is generated as described above, by a Fourier transform of a generating matrix.

Biomedical Optics Express

Attempt to derive a Laplace transform of a function, if it closely resembles one or more other functions, which you do know the transform of.

WikiHow

Expert writing Tips

Best practice

When using "a transform of" in technical writing, clearly define the type of transformation being applied (e.g., Fourier transform, Laplace transform) to avoid ambiguity.

Common error

Avoid using "a transform of" without specifying what is being transformed. For example, instead of saying "the data underwent a transform of," clarify with "the data underwent a Fourier transform."

Linguistic Context

The phrase "a transform of" functions as a noun phrase, typically preceding another noun or noun phrase to specify what is being transformed. It indicates that something has undergone a mathematical or technical operation to change its form or representation. Ludwig AI confirms the validity of this usage.

Expression frequency: Rare

Frequent in

Science

75%

Encyclopedias

12%

Wiki

13%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, the phrase "a transform of" is grammatically sound but relatively rare. According to Ludwig AI, it is most frequently found in scientific contexts where it's used to denote the result of a transformation process, often in a mathematical or technical sense. While the phrase may not be widely used, it is important to ensure the specific transformation is clearly defined. Related phrases like ""a conversion of"" or "an alteration of" can serve as alternatives, depending on the desired emphasis. When writing, make sure the type of transformation is clearly specified to avoid ambiguity, as indicated in the writing guidance section.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a conversion of

Replaces "transform" with "conversion", focusing on the act of changing something into a different form.

an alteration of

Substitutes "transform" with "alteration", emphasizing a change that modifies something.

a modification of

Uses "modification" instead of "transform", highlighting a change that improves or adapts something.

a change to

Simplifies the phrase to "a change to", indicating a direct alteration.

a reshaping of

Replaces "transform" with "reshaping", suggesting a change in the form or structure.

a reformation of

Employs "reformation" to indicate a change that improves or restructures something.

a restructuring of

Uses "restructuring" to emphasize a change in the organization or arrangement.

a remodeling of

Substitutes "transform" with "remodeling", focusing on a change that alters the appearance or function.

a metamorphosis of

Replaces "transform" with "metamorphosis", suggesting a complete and dramatic change.

a transmutation of

Employs "transmutation" to indicate a change in the nature or substance of something.

FAQs

How is "a transform of" used in mathematics?

In mathematics, "a transform of" typically refers to a specific mathematical operation that changes a function or signal into another form, such as "Fourier transform" or "Laplace transform".

What are some common examples of "a transform of" in signal processing?

In signal processing, examples include the "Fourier transform" (for frequency analysis), the "wavelet transform" (for time-frequency analysis), and the "Z-transform" (for discrete-time systems).

When is it appropriate to use "a conversion of" instead of "a transform of"?

"A conversion of" is suitable when referring to changing something from one format or unit to another, whereas "a transform of" implies a more complex mathematical or technical operation that alters the fundamental structure or representation. Consider the nuances, and use "a conversion of" where the change is more straightforward.

What's the difference between "a transform of" and "a transformation of"?

"A transform of" generally refers to the result of applying a transformation, while "a transformation of" describes the process itself or the act of transforming. For example, the Fourier transform is "a transform of" the signal, and applying the Fourier transform is "a transformation of" the signal.