are normalized with respect to the

USAGE SUMMARY

This part of a sentence is correct and usable in written English.
You can use it when explaining how something is adjusted or adapted in relation to something else. Example: All measurements are normalized with respect to the baseline sample.

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

23 human-written examples

The presented results are normalized with respect to the user throughput achieved by the same UEs, if the non-coop.

EURASIP Journal on Wireless Communications and Networking

In all of our simulation results, all rates are normalized with respect to the bandwidth B. The complexity of the proposed algorithm is calculated as N(1+M L log2L, where M is the number of iterations needed to update the Lagrange multiplier λ in (14).

EURASIP Journal on Wireless Communications and Networking

Furthermore, the path gains between the inter-cell MTs and the respective BS are normalized with respect to the distances between the intra-cell MTs and respective BS such that 0 ≤ Ω B j T j + i l ≤ 1 in (j + i th cell for {i = 0, ± 1} [20].

EURASIP Journal on Wireless Communications and Networking

In all figures below, the quantities concerning timing or delay measures are normalized with respect to the symbol duration, e.g., the CRLB of ε is normalized to T s 2. Three different kinds of channel models are considered: A single-path channel, several two-path channels, and different WINNER channels according to[33].

EURASIP Journal on Advances in Signal Processing

The histograms are normalized with respect to the total number of Ag NPs.

Nanoscale Research Letters

These two rotations are normalized with respect to the square root of the sum of squares.

International Journal of Advanced Structural Engineering

Human-verified similar examples from authoritative sources

Similar Expressions

37 human-written examples

The results were normalized with respect to the level of actin expression in the respective tissue samples.

Plosone

The power is normalized with respect to the direct blast maximum power.

EURASIP Journal on Advances in Signal Processing

This time is normalized with respect to the computation time of the MIP algorithm with 100 cells and 100 TPs.

EURASIP Journal on Wireless Communications and Networking

Hamming distance between hashes is calculated, and it is normalized with respect to the length (L) of the hash.

EURASIP Journal on Image and Video Processing

The effect size is normalized with respect to the standard deviations of distances.

Plosone

Expert writing Tips

Best practice

When using "are normalized with respect to the", ensure the reference point is clearly defined to avoid ambiguity. For instance, specify "are normalized with respect to the initial concentration".

Common error

A common mistake is not clearly stating what the data is being normalized to. Always explicitly mention the reference value or condition used for normalization; otherwise, the data's significance is lost.

Linguistic Context

The phrase "are normalized with respect to the" functions as a verb phrase indicating a mathematical or statistical adjustment. It describes how data is transformed to a standard scale based on a reference point, as confirmed by Ludwig.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "are normalized with respect to the" is a common and grammatically correct expression used primarily in scientific contexts to describe the process of standardizing data against a reference point. As confirmed by Ludwig AI, this phrase functions to explain how data is adjusted for meaningful comparison. Best practices include clearly specifying the normalization standard, while a common error is failing to do so, which can obscure the data's significance. Alternatives include "are scaled relative to the" and "are adjusted based on the", offering varied ways to convey this concept. Overall, understanding the proper usage of this phrase is crucial for clear and precise scientific writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

are scaled relative to the

This alternative uses "scaled" to indicate adjustment, focusing on the proportional change relative to a baseline.

are adjusted based on the

This phrase uses "adjusted" to suggest a modification made according to a specific criterion or standard.

are calibrated against the

The term "calibrated" implies a precise adjustment to ensure accuracy in comparison to a known standard.

are standardized according to the

"Standardized" emphasizes uniformity and compliance with a set of rules or norms.

are benchmarked against the

This alternative indicates that something is measured or evaluated in comparison to a reference point or standard.

are referenced to the

"Referenced" suggests that data is related back to a particular point for context or comparison.

are indexed to the

"Indexed" implies creating a ratio or percentage based on a specific value.

are expressed relative to the

Focuses on how the data is presented, emphasizing the relationship to a reference value.

are proportioned in relation to the

Highlights the proportionality aspect of the adjustment, emphasizing the relative sizes or amounts.

are ratioed against the

"Ratioed" directly indicates the calculation of a ratio with the reference as the denominator.

FAQs

What does it mean to say data "are normalized with respect to the"?

When data "are normalized with respect to the", it means they have been adjusted to a common scale by using a reference value. This makes it easier to compare different datasets or measurements.

How do you use "are normalized with respect to the" in a sentence?

You can say, "The experimental results "are normalized with respect to the" control group to account for baseline differences."

What are some alternatives to saying "are normalized with respect to the"?

Alternatives include phrases like "are scaled relative to the", "are adjusted based on the", or "are calibrated against the" depending on the context.

Why is it important to normalize data?

Normalizing data allows for meaningful comparisons between different datasets or measurements by removing the influence of confounding factors. It helps to highlight the true differences between the variables being studied.