order of difference

USAGE SUMMARY

The phrase "order of difference" is correct and usable in written English.
It can be used in contexts involving mathematics, statistics, or discussions about variations between items or concepts. Example: "In analyzing the data, we need to calculate the order of difference between the two sets to understand their relationship."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

Also, there was about an order of difference between the two areas in the average density of Ga MDs.

Nanoscale Research Letters

In fact, most agricultural commodity prices can pass ADF test within one order of difference, therefore we assign d = 1.

Journal of Big Data

Suppose that (w z)) is a transcendental meromorphic solution with finite order of difference Painlevé III equation w z+1)w z-1) bigl(w z-11bigl)=eta(z)w z -1bigr

Advances in Difference Equations

If (w z)) is a transcendental meromorphic solution with finite order of difference Painlevé III equation w z+1)w z-1) bigl(w z-11bigl)^{2}=w z -1bigrambda w z -1bigr1.5) where λ and μ are constants, then: (i) (tau(w)=sigma(w));   (ii) If (lambdamuneq0), then (lambda(w)=sigma(w)).  .

Advances in Difference Equations

In every iterative step, SVM-RFE sorts the features in working set in the order of difference of the obejective functions and removes a feature with the minimum difference.

BMC Medical Informatics and Decision Making

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

Instead, the optimal order of differences depends on the number of dimensions.

Journal of Multivariate Analysis

An essential analysis is testing for stationarity and finding the order of differencing that makes the series stationary.

Visualization in Engineering

Differencing is the difference between consecutive data points and the order of differencing is the number of times a series must be differenced to make it stationary.

Visualization in Engineering

where B is the backward shift operator, ∆ is the backward difference, d is the order of differencing, and Φ p and Θ q are polynomials of order p and q, respectively.

EURASIP Journal on Wireless Communications and Networking

At every step (associated with the order of differences) of the decomposition process, the orbit X can be completely restored by first terms of X and the two components.

Advances in Difference Equations

Despite this, it is now clear that successful MMPIs should ideally spare MMP antitargets by ∼3 log orders of difference in Ki over targets.

British Journal of Cancer

Expert writing Tips

Best practice

When discussing quantitative differences, clarify whether "order of difference" refers to an arithmetic or logarithmic scale to avoid ambiguity. For example, specifying "an order of magnitude difference" provides a clearer understanding.

Common error

Avoid using "order of difference" when you mean a simple subtraction. The phrase typically implies a more complex relationship, often exponential, not a direct arithmetic difference.

Linguistic Context

The phrase "order of difference" functions primarily as a noun phrase. It describes the degree or magnitude of variation between two or more entities, often within mathematical, statistical, or scientific contexts. Ludwig AI confirms its correct usage.

Expression frequency: Rare

Frequent in

Science

80%

News & Media

10%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "order of difference" is a grammatically sound and technically precise term that signifies the degree or magnitude of variation between two or more items, quantities, or data sets. As Ludwig AI confirms, it is correct and usable in written English, predominantly within scientific and mathematical contexts. While its frequency is relatively rare, its usage is consistent, often implying a complex relationship, especially exponential changes. To avoid ambiguity, specify the scale (arithmetic or logarithmic) whenever you use the phrase. Consider alternatives like "degree of variation" or "magnitude of disparity" for simpler contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

degree of variation

Focuses on the extent to which something varies.

level of discrepancy

Highlights the inconsistency or disagreement between items.

magnitude of disparity

Emphasizes the scale of the inequality or difference.

scale of differentiation

Highlights the range over which a distinction is made.

extent of contrast

Focuses on the degree to which things are noticeably different.

range of deviation

Emphasizes the scope of departure from a norm or expected value.

intensity of distinction

Focuses on the strength or clarity of the difference.

hierarchy of distinction

Implies an ordering of differences based on importance or level.

gradation of difference

Implies a gradual or step-wise variation.

spectrum of variation

Suggests a continuous range of different values or states.

FAQs

How is "order of difference" used in statistical analysis?

In statistics, "order of difference" can refer to the degree of differencing applied to a time series to achieve stationarity. It's also used to compare values that may vary exponentially, such as in assessing the significance of p-values.

What does it mean when there is an "order of magnitude difference" between two values?

An "order of magnitude difference" means that two values differ by a factor of 10. For instance, 100 and 1000 have an order of magnitude difference because 1000 is 10 times greater than 100.

In what fields other than statistics is the term "order of difference" used?

The term "order of difference" appears in scientific fields like physics, engineering, and biology when discussing differences between measurements, quantities, or rates. It's used whenever comparisons involve ratios or exponential scales.

What's a good alternative if I want to simplify "order of difference"?

Depending on the context, you might use simpler terms like "degree of variation", "level of discrepancy", or "magnitude of disparity". However, ensure the alternative accurately conveys the intended meaning, especially if the difference is exponential or logarithmic.