exponential decay vs exponential decline

Both 'exponential decay' and 'exponential decline' are correct phrases, but they are used in slightly different contexts. 'Exponential decay' is commonly used in scientific and mathematical contexts to describe the decrease of a quantity over time, while 'exponential decline' is more general and can be used in various contexts to indicate a rapid decrease or reduction.

Last updated: March 26, 2024 • 864 views

This phrase is correct and commonly used in scientific and mathematical contexts to describe the decrease of a quantity over time.

"exponential decay"

This term is used to describe a process where a quantity decreases at a rate proportional to its current value, resulting in a rapid decrease over time.

Examples:

The radioactive material exhibited exponential decay over the course of several days.
The population of a species can be modeled using exponential decay.
The signal strength of the radio waves showed exponential decay as we moved away from the source.
The temperature of the substance followed a pattern of exponential decay as it cooled down.
The value of the investment experienced exponential decay due to market fluctuations.

Show examples from the web [+]

The fall in concentration is assumed to follow an exponential decay process.
After administration of Helixate NexGen, peak factor VIII activity decreased by a two-phase exponential decay with a mean terminal half-life of about 15 hours.
A different curve would result in a different calculation for "Area". However, an exponential decay process is not implausible and is probably the best curve to use in the absence of other information.
Telithromycin displays a tri-exponential decay from plasma, with a rapid distribution half-life of 0.17 h.
The distribution and elimination kinetics have generally been described by a bi-exponential decay function, with a terminal half-life of 6-15 h.
Pharmacokinetic data Cerivastatin is readily and completely (98%) absorbed from the gastrointestinal tract with plasma concentrations peaking within 2-3 hours of dosing and mono-exponential decay thereafter.
It is merely a matter of tracking possible futures, using an exponential growth and decay algorithm.
The icemaker's a more linear example, and radiocarbon decay is exponential, but you get the idea?
The serum decay was bi-exponential, with a slow distribution phase and a very long elimination phase that started approximately 24 hours after injection.
It is clear that when observation are taken only at the start and end of each renewal period, it is not possible to confirm that the decay process is, in fact, exponential.

Alternatives:

exponential decrease
exponential reduction

This phrase is correct and can be used in various contexts to indicate a rapid decrease or reduction.

"exponential decline"

This term is more general and can be used to describe a rapid decrease or reduction in different situations, not limited to scientific or mathematical contexts.

Examples:

The company experienced an exponential decline in sales after the scandal.
The city witnessed an exponential decline in air quality due to increased pollution.
The team's performance showed an exponential decline as the season progressed.
The value of the currency experienced an exponential decline in the global market.
The patient's health took an exponential decline after the complications arose.

Show examples from the web [+]

If the data points plotted against time indicate a constant exponential decline of the test item concentration in the animals, a one-compartment model (equation 9) can be used to describe the time course of elimination.
In healthy volunteers after intravenous administration, interferon beta-1a exhibits a sharp multi-exponential decline, with serum levels proportional to the dose.
And with all of these declines we have the near exponential population growth where by 2030 there might be over 8 billion people on this planet.
The incidence of allergies is increasing at an almost exponential rate at a time when other illnesses such as infections or sudden infant death syndrome are in decline.
Peak plasma levels occur at 2-4 hours post-injection thereafter plasma levels decline in a bi-exponential manner.
It must also be borne in mind that the sharp decline in income in the industry stems from restrictions on fishing activity and the stagnation/fall in first-sale prices, accompanied by the exponential increase in production costs (diesel and petrol).

Alternatives:

rapid decrease
sharp decline

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exponential decay vs exponential decline