A quantity is subject to exponential decay if it decreases at a rate proportional to its current value. Symbolically, this process can be expressed by...
17 KB (2,597 words) - 17:30, 4 October 2024
exponential decay instead. In the case of a discrete domain of definition with equal intervals, it is also called geometric growth or geometric decay...
24 KB (3,259 words) - 23:54, 12 January 2025
Half-life (category Temporal exponentials)
radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential (or, rarely, non-exponential) decay...
17 KB (2,173 words) - 00:25, 31 January 2025
{\displaystyle f(x)=ab^{x}} are also called exponential functions. They grow or decay exponentially in that the amount that f ( x ) {\displaystyle...
37 KB (5,084 words) - 23:10, 15 February 2025
Time constant (section Exponential decay)
{\displaystyle \tau {\frac {dV}{dt}}+V=f(t)} where τ represents the exponential decay constant and V is a function of time t V = V ( t ) . {\displaystyle...
20 KB (2,993 words) - 20:24, 18 September 2024
Γ is the gamma function. For exponential decay, ⟨τ⟩ = τK is recovered. The higher moments of the stretched exponential function are ⟨ τ n ⟩ ≡ ∫ 0 ∞ d...
19 KB (2,317 words) - 04:21, 10 February 2025
was the first to realize that all such elements decay in accordance with the same mathematical exponential formula. Rutherford and his student Frederick...
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Exponential constant may refer to: e (mathematical constant) The growth or decay constant in exponential growth or exponential decay, respectively. This...
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Exponential smoothing or exponential moving average (EMA) is a rule of thumb technique for smoothing time series data using the exponential window function...
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Natural logarithm (section Inverse of exponential)
logarithms are used to solve for the half-life, decay constant, or unknown time in exponential decay problems. They are important in many branches of...
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plane. Systems that are not LTI are exponentially stable if their convergence is bounded by exponential decay. Exponential stability is a form of asymptotic...
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Exponent bias Exponential (disambiguation) Exponential backoff Exponential decay Exponential dichotomy Exponential discounting Exponential diophantine equation...
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Damping (section Q factor and decay rate)
linear systems. This form is exponential damping, in which the outer envelope of the successive peaks is an exponential decay curve. That is, when you connect...
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decreases over time, and is said to be undergoing exponential decay instead. The law of exponential growth can be written in different but mathematically...
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By E3 2001, the game had acquired the title Decay, named after the scientific concept of exponential decay for consistency with the scientific names used...
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exponential decay of correlations. From 2005 to 2006 interest in Lieb–Robinson bounds strengthened with additional applications to exponential decay of...
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In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance...
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decay, the process of prolonged reduction in the height of a satellite's orbit Particle decay Radioactive decay False vacuum decay Exponential decay Decay...
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exponentiation, including: Exponential function, also: Matrix exponential, the matrix analogue to the above Exponential decay, decrease at a rate proportional...
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integrable on [0, ∞). For locally integrable functions that decay at infinity or are of exponential type ( | f ( t ) | ≤ A e B | t | {\displaystyle |f(t)|\leq...
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Exponentiation (redirect from Exponential functions)
portal Double exponential function Exponential decay Exponential field Exponential growth Hyperoperation Tetration Pentation List of exponential topics Modular...
104 KB (13,575 words) - 02:08, 29 January 2025
microscopy or FLIM is an imaging technique based on the differences in the exponential decay rate of the photon emission of a fluorophore from a sample. It can...
24 KB (3,092 words) - 21:09, 11 July 2024
the capacitor. Solving this equation for V yields the formula for exponential decay: V ( t ) = V 0 e − t R C , {\displaystyle V(t)=V_{0}e^{-{\frac {t}{RC}}}\...
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long-range dependence if the dependence decays more slowly than an exponential decay, typically a power-like decay. LRD is often related to self-similar...
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meteorology and climatology. Most commonly, the quantity measures the exponential decay of intensity, that is, the value of downward e-folding distance of...
16 KB (2,210 words) - 21:56, 26 November 2024
occurs becomes increasingly large. However, the deviations from the exponential decay law for small times is crucially related to the inverse of the energy...
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Half time (physics) (category Temporal exponentials)
difference between the present value and the extremal value (i.e. in exponential decay processes). It is synonymous with half-life, but used in slightly...
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Doubling time (category Temporal exponentials)
characteristic unit (a natural unit of scale) for the exponential growth equation, and its converse for exponential decay is the half-life. As an example, Canada's...
14 KB (1,074 words) - 19:57, 26 October 2024
it by exponential decay, approaching the steady state value asymptotically. It has an impulse response that is the sum of two decaying exponential functions...
33 KB (3,901 words) - 08:22, 5 January 2025
= 0:0.05:5 % Loop through times and decay each initial component Phi = C0V .* exp(- D * t); % Exponential decay for each component Phi = V * Phi; % Transform...
34 KB (5,719 words) - 18:39, 2 December 2024