algebraic difference

USAGE SUMMARY

The phrase "algebraic difference" is correct and usable in written English.
It is typically used in mathematics to refer to the difference between two algebraic expressions or quantities. Example: "To find the algebraic difference between the two equations, we need to subtract one from the other."

✓ Grammatically correct

Science

Mathematics

Engineering

Human-verified examples from authoritative sources

Exact Expressions

8 human-written examples

In addition, we examined whether a measure of prioritisation derived from an algebraic difference index provided a rigorous test of prioritisation effects.

Psychology of Sport and Exercise

The tolerance of circularity controls the divergence of the feature, and the annular space between the two coplanar concentric circles defines the tolerance zone, where the magnitude is the algebraic difference of the radii of the circles.

Manual of Engineering Drawing

[1] presented a method which utilizes the algebraic difference between the splitting power flow ratios x1 and x2, for determining the direction of the power flow in two-DOF planetary drives.

Mechanism and Machine Theory

Of late, several scholars [3, 6 14] studied the properties of finite-order meromorphic solutions of algebraic difference equations and obtained many interesting results.

Advances in Difference Equations

The ratios of the phasor magnitudes and the algebraic difference in the phasor angles are indicative of the type of fault and are hence used for fault classification.

Protection and Control of Modern Power Systems

These properties can also be achieved by using techniques for dynamic equation derivation known in forestry as the Algebraic Difference Approach (ADA; Bailey and Clutter, 1974) or its generalization (GADA; Cieszewski and Bailey, 2000).

Forest Ecosystems

Human-verified similar examples from authoritative sources

Similar Expressions

52 human-written examples

Compressive VOF methods which discretize the interface advection with algebraic differencing schemes are computationally efficient and inherently applicable to arbitrary meshes.

Journal of Computational Physics

Concerning the onset phase, there were no significant differences between mono-exponential modeling and the algebraic method (differences between τ and MRT −6.6 1 s, SD 11 17 s).

European Journal of Applied Physiology

Elimination of unknowns for systems of algebraic differential-difference equations, with Wei Li, Alexey Ovchinnikov and Gleb Pogudin, 23 pages, 2018.

University of California, Berkeley

The algebraic procedures include differencing, ratioing, indexes (like Normalized Difference Vegetation Index – NDVI), while the mathematical analysis techniques include data transformations (like Principal Component Analysis - PCA, Tasselled Cap Transform – TCT, Multivariate Alteration Detector - MAD), Artificial Neural Network (ANN) analysis, fuzzy logic, Bayesian network and others.

Open Geospatial Data, Software and Standards

The analysis of industrial processes, modelled as descriptor systems, is often computationally hard due to the presence of both algebraic couplings and difference equations of high order.

IFAC-PapersOnLine

Expert writing Tips

Best practice

When using the term "algebraic difference", ensure that the context involves mathematical expressions or equations where the sign of the difference is significant. Avoid using it when a simple numerical difference is sufficient.

Common error

Avoid using "algebraic difference" when you mean absolute difference. The "algebraic difference" considers the sign, while the absolute difference only considers the magnitude.

Linguistic Context

The phrase "algebraic difference" functions as a noun phrase, specifically as a mathematical term. It describes the result of a subtraction operation where the sign is important. Ludwig AI confirms this with examples in various scientific and mathematical contexts.

Expression frequency: Uncommon

Frequent in

Science

80%

Academia

10%

Encyclopedias

5%

Less common in

Wiki

3%

News & Media

1%

Formal & Business

1%

Ludwig's WRAP-UP

The phrase "algebraic difference" is a grammatically correct and useful term, predominantly used in scientific and mathematical writing to describe the signed difference between two quantities. While Ludwig AI confirms its correctness, remember to reserve this term for contexts where the sign of the difference matters. In everyday language, simpler terms like "difference" or "numerical difference" may be more suitable. Be mindful to avoid confusion with the concept of absolute difference, and always consider the specific context to ensure accuracy. Its frequency is uncommon and sources are mainly scientific and academic.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematical difference

Replaces "algebraic" with a broader term, suitable when the context isn't strictly algebraic.

arithmetical difference

Similar to mathematical difference, emphasizing the numerical calculation.

difference between expressions

A more explicit way to describe the difference in an algebraic context.

numerical difference

Focuses on the difference in numerical values, omitting the algebraic aspect.

difference in magnitude

Highlights the size of the difference, useful when direction is not important.

difference of terms

Focuses on the individual components being subtracted.

net change

Emphasizes the overall change between two states, suitable in dynamic systems.

resultant difference

Implies a calculated difference after considering multiple factors.

difference in value

A more general term applicable to any quantifiable attribute.

calculated deviation

Highlights the deviation from an expected or standard value.

FAQs

What does "algebraic difference" mean in mathematics?

In mathematics, the "algebraic difference" refers to the result of subtracting two quantities, taking into account the sign (positive or negative) of the result.

How is the "algebraic difference" different from the absolute difference?

The "algebraic difference" considers the sign of the result, while the absolute difference only considers the magnitude, ignoring the sign. For example, the "algebraic difference" between 5 and 10 is -5, but the absolute difference is 5.

Where can I use a phrase similar to "algebraic difference"?

You can use alternatives like "mathematical difference" or "numerical difference" depending on the specific context you are referring to.

Can I use "algebraic difference" in everyday conversation?

While technically correct, "algebraic difference" is typically used in mathematical or scientific contexts. In everyday conversation, a simpler term like "difference" or "net change" might be more appropriate.