normalized to one

USAGE SUMMARY

The phrase "normalized to one" is correct and usable in written English. You can use it in contexts involving data analysis, statistics, or any situation where values are adjusted to a common scale. For example, "The scores were normalized to one to facilitate comparison." Alternative expressions include "scaled to one" and "adjusted to one."

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The scale is normalized to one in both axes, and the fitting is performed on these transformed candidate pixels.

EURASIP Journal on Advances in Signal Processing

For a fair comparison, total multipath energy is normalized to one, that is,.

EURASIP Journal on Wireless Communications and Networking

The intracell power as well as the intercell power are normalized to one at the receiver.

EURASIP Journal on Wireless Communications and Networking

Sum of all measures in a stage is one, or normalized to one.

EURASIP Journal on Wireless Communications and Networking

Similar to the preamble design, total power of the pilot symbols are normalized to one.

EURASIP Journal on Wireless Communications and Networking

Then, the maximum amplitude of the signal is normalized to one to regularize the amplitude of the envelopes.

Earth, Planets and Space

Transmitted chips are independent (infinitely deep interleaving assumption), and the chip energy is normalized to one, i.e., E x t, i 2 = 1.

EURASIP Journal on Wireless Communications and Networking

In the simulations, the total power of each OFDM frame is normalized to one, but power distribution among pilot symbols is not constrained to be uniform.

EURASIP Journal on Wireless Communications and Networking

We assume, without loss of generality, that the maximum sum power available in each cell in (33) is normalized to one.

EURASIP Journal on Wireless Communications and Networking

The integral intensity values are all normalized to one at the corresponding value of the initial pure PbS NCs.

Chemistry of Materials

In the case of nucleotide substitution models, full parameterization for a substitution rate matrix is possible with 8 parameters; the total rate is normalized to one.

BMC Evolutionary Biology

Expert writing Tips

Best practice

In academic writing, ensure you specify what parameter is being scaled (e.g. "The total power was normalized to one") to maintain technical clarity.

Common error

Writers often confuse "normalized to one" (defining the target value) with "normalized by [variable]" (defining the factor used for division). Use "to" when specifying the end result of the scaling process.

Linguistic Context

The phrase "normalized to one" functions as a passive verbal construction used to describe a mathematical transformation where values are adjusted to a common scale. According to Ludwig, it typically acts as a predicate or a participial modifier to specify that a maximum, a sum or a baseline value has been mathematically set to 1.0 to facilitate comparison.

Expression frequency: Very common

Frequent in

Science

85%

Academia

10%

Formal & Business

5%

Less common in

News & Media

0%

Social Media

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "normalized to one" is a cornerstone of technical and scientific writing, particularly in fields involving data analysis and signal processing. As evidenced by the extensive data from Ludwig AI, its usage is strictly formal and indicates a process where variables are rescaled so their sum, maximum or norm equals exactly one. This allows researchers to compare datasets that may originally have had completely different magnitudes. Whether used in genomics, wireless communications or economics, the phrase provides a precise way to describe the creation of a relative scale. When writing, remember that it is most effective when the parameter being scaled is explicitly stated, ensuring the reader understands exactly what part of the data has been transformed to reach that unit value.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

normalized to unity

Uses a more formal mathematical term for the number one.

scaled to one

More general term for adjusting values to a specific range.

standardized to one

Often implies a specific statistical process like z-score adjustment.

rescaled to one

Emphasizes that the original scale was changed to a new one.

adjusted to one

Less technical but describes the same outcome of setting a value to one.

mapped to the range of zero to one

Provides a more detailed description of the bounds of the transformation.

regularized to one

Common in machine learning and optimization contexts.

fixed at one

Implies a constraint where a value is intentionally held constant.

calibrated to one

Suggests adjustment against a known standard or reference point.

set to one

The simplest and most direct way to describe assignment.

FAQs

How do I use "normalized to one" in a research paper?

You can use it to describe data preprocessing, such as: "To facilitate comparisons across different samples, the peak intensities were "normalized to one"."

What is the difference between "normalized to one" and "scaled to one"?

While both are similar, ""normalized to one"" is more common in signal processing and probability, whereas "scaled to one" is more generic for any proportional adjustment.

Can I say "normalized to unity" instead?

Yes, "normalized to unity" is a perfectly interchangeable and more formal mathematical equivalent often used in physics.

Is it "normalized to one" or "normalized by one"?

You should use ""normalized to one"" when one is the target value. "Normalized by" usually precedes the variable used for scaling, like "normalized by the mean".