unit slope on

USAGE SUMMARY

The phrase "unit slope on" is not standard in written English and may cause confusion.
It could be used in a mathematical or technical context, possibly referring to a line or function with a slope of one. Example: "The graph shows a unit slope on the line, indicating a consistent increase in value."

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Empirical evidence from time series methods which assume the usual I(0)/I(1) paradigm suggests that the efficient market hypothesis, stating that spot and futures prices of a commodity should co-integrate with a unit slope on futures prices, does not hold.

Journal of Econometrics

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

THU and SHU are identifiable in intersection of tangent and unit slope to Lorenz plot, if data of each flow unit be marked on Lorenz plot.

Journal of Petroleum Exploration and Production Technology

This is simply done through differentiation of all samples that lie on the unit slope trend line and those lie scattered on both sides of it, into three sub-flow units regardless their slopes and the use of (FZI) arithmetic average for each sub-unit instead of that at (ϕ Z) = 1.

Journal of Petroleum Exploration and Production Technology

The cross plots show that the plotted points fall on the unit slope line through the origin, which implies that the new correlation reproduces the measured values to a considerable degree of accuracy.

Journal of Petroleum Exploration and Production Technology

It is noticed that (Table 3) the arithmetic averages of (FZI) values for sub-flow unit samples that lie on the unit slope trend line using Amaefuleʼs approach are very close to (FZI) values at (ϕ Z) = 1, (units 1-B and 3-B), so they have the lowest error percent in predicted permeability using Amaefuleʼs approach, and the reverse is right for rest of the samples.

Journal of Petroleum Exploration and Production Technology

Accurate predictions would fall along the line of unit slope.

Plosone

It is characterized by the unit-slope line on the pressure derivative curve.

Journal of Petroleum Exploration and Production Technology

But there's a slope on it".

BBC

The size selection of the slope units depends on the average size of the historic landslide in the study area.

Journal of Modern Transportation

Fighting in conditions almost as severe as the trenches of the first world war, allied units on exposed slopes were under heavy artillery fire which they were convinced was being directed by spotters in the 1,600ft high monastery.

The Guardian

But that may change; Tuxedo Ridge has big plans that include a hotel, a conference center, a spa, an indoor water park and perhaps time-share units on the slopes.

The New York Times

Expert writing Tips

Best practice

When using "unit slope on", ensure the context clearly indicates you are referring to a slope with a value of 1. In technical writing, define "unit slope" before using the term to avoid ambiguity.

Common error

Avoid using "unit slope on" loosely to describe any general upward trend. A "unit slope" specifically means a slope of 1, where the change in Y is equal to the change in X. Use more general terms like "positive slope" for upward trends that don't precisely fit this definition.

Linguistic Context

The phrase "unit slope on" functions as a technical descriptor, specifying a line or function's rate of change relative to a given axis. The Ludwig examples suggest its use in describing empirical observations and correlations in data.

Expression frequency: Rare

Frequent in

Science

60%

Academia

30%

News & Media

10%

Less common in

Formal & Business

0%

Wiki

0%

Reference

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Ludwig's WRAP-UP

In summary, the phrase "unit slope on" is a precise term primarily used in scientific and technical contexts to describe a slope with a value of 1. As Ludwig AI notes, the phrase itself is not standard in written English, and could benefit from some semantic alternatives. Though it appears mainly in scientific and academic literature, its usage is relatively rare. When employing this phrase, clarity is key to ensure accurate communication, especially in technical writing. Alternatives like "slope of one" or "one-to-one slope" might enhance clarity for a broader audience.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

slope of one on

Replaces "unit" with its numerical equivalent, offering a more explicit specification of the slope's value.

unity slope on

Uses "unity" as a synonym for "unit", maintaining the concept of a slope equal to one.

gradient of one on

Substitutes "slope" with "gradient", which is another term for the steepness of a line.

slope equal to one on

Rephrases the concept using "equal to one" to explicitly define the slope's value.

one-to-one slope on

Expresses the slope as a ratio, indicating that for every unit increase in x, there is a corresponding unit increase in y.

slope of 45 degrees on

Specifies the angle of the slope, equivalent to a unit slope when considering a linear graph.

45-degree slope on

A more concise phrasing indicating a slope with a 45-degree angle.

linear slope on

Highlights the linearity of the slope, implying a constant rate of change.

constant slope on

Emphasizes the consistency of the slope's value across the entire line or function.

positive unit slope on

Adds the specification of "positive" to ensure that the slope is increasing and not decreasing.

FAQs

What does "unit slope on" mean in mathematics?

In mathematics, a "unit slope on" refers to a line or function where the slope is equal to 1. This means that for every unit increase in the x-axis, there is a corresponding unit increase in the y-axis.

Are there alternative ways to describe a slope of 1?

Yes, you can use phrases like "slope of one on", "one-to-one slope on", or "gradient of one on" to describe a slope of 1.

When is it appropriate to use the term "unit slope on"?

The term "unit slope on" is appropriate in mathematical, scientific, and technical contexts where precise descriptions of slope are necessary. It is useful when explaining linear relationships with a direct, proportional increase.

Is "unit slope on" different from "positive slope on"?

Yes, while both describe upward trends, "unit slope on" specifically indicates a slope of 1, whereas "positive slope on" simply means the line is increasing without specifying the exact rate of increase. A line with a "positive slope on" can have a slope of any value greater than zero.