a given slope

USAGE SUMMARY

The phrase "a given slope" is correct and usable in written English.
It can be used in mathematical or scientific contexts when referring to a specific slope that has been defined or established for analysis or discussion. Example: "To calculate the angle of elevation, we need to consider a given slope of 3:1."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

11 human-written examples

5 2}}where K = CN constant and CN2 α = value of CN2 for a given slope.

Applied Water Science

For a given slope, h + l increase with increasing duration of rainfall.

Geoenvironmental Disasters

The model provides the value of the Factor of Safety for a given slope and soil depth.

Ecological Engineering

This quantity is usually assessed using commercial lumped mass models that stochastically predict possible block trajectories on a given slope.

Engineering Geology

These stages form four successions, referred to as supply regimes A D, which control the supply of water and sediments to a given slope segment.

Geomorphology

Firstly, Discontinuity Layout Optimisation (DLO) analysis is used to determine the critical seismic slope failure mechanism and estimate the corresponding yield acceleration of a given slope.

Soil Dynamics and Earthquake Engineering

Human-verified similar examples from authoritative sources

Similar Expressions

48 human-written examples

Both are formulated using a Hill expression; the Hill coefficients q and h were typically chosen in a range that allowed polarization in the absence of noise for a given gradient slope L slp [ 12].

BMC Systems Biology

The amplification efficiency analyzed was calculated for each gene from the given slope in a linear regression curve of Ct values versus log of cDNA concentration.

BMC Cancer

The black line is a guide to the eye for the given slope of the distribution.

Geothermal Energy

Real-time RT-PCR efficiencies were calculated from the given slopes in Opticon™ 2 Monitor software.

Arthritis Research and Therapy

Amplification efficiency was then calculated from the given slopes in the IQ5 Optical system Software v2.0.

BMC Genomics

Expert writing Tips

Best practice

When using "a given slope" in technical writing, ensure the value or method of determining the slope has been clearly defined earlier in the text.

Common error

Avoid using "a given slope" without providing context or specific details about how the slope is determined or its value, which can lead to ambiguity.

Linguistic Context

The phrase "a given slope" functions as an adjectival phrase modifying the noun 'slope'. It specifies that the slope being referred to is predetermined or pre-existing within the context of the discussion. Ludwig AI confirms that this is a valid and usable phrase.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, "a given slope" is a grammatically correct phrase primarily used in scientific and technical contexts to refer to a specified or predetermined incline. Ludwig AI confirms its usability and correctness. While not overly common, it is readily understood within these fields. Alternatives like "a specified gradient" or "a defined slope" can be used for variety. When using the phrase, ensure the slope's value or method of determination is clear to avoid ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a specified gradient

Changes the noun 'slope' to 'gradient' while maintaining the specificity.

a particular incline

Replaces 'given' with 'particular' and 'slope' with 'incline', keeping the meaning similar.

a defined slope

Substitutes 'given' with 'defined', emphasizing that the slope is established or determined.

a predetermined slope

Emphasizes that the slope was decided beforehand.

a set slope

Uses 'set' to indicate a fixed or established slope.

a known slope

Highlights that the value of the slope is already known.

a certain slope

Uses 'certain' to indicate a specific but perhaps not precisely defined slope.

an assigned slope

Suggests that the slope has been designated or allocated.

the specified slope

Uses definite article and changes 'given' to 'specified'.

the designated slope

Highlights that the slope has been officially chosen or marked.

FAQs

How can I use "a given slope" in a sentence?

You can use "a given slope" to refer to a specific slope in various contexts, such as "For "a given slope", the angle of repose can be calculated using trigonometry".

What is an alternative to "a given slope"?

Alternatives include "a specified gradient", "a particular incline", or "a defined slope".

Which is correct: "a given slope" or "the given slope"?

"A given slope" implies one instance out of many possible slopes, while "the given slope" implies a specific slope already under discussion. The choice depends on the context.

What does "a given slope" mean in the context of physics?

In physics, "a given slope" refers to a specific angle or gradient of an inclined plane, ramp, or surface used in calculations or experiments. It represents a known or defined incline.