| 单词 | exponential decay |
| 例句 | This is an exponential decay, as seen in the graph of the number of nuclei present as a function of time. College Physics for AP Courses 2015-08-12T00:00:00Z We see that exponential growth has a positive rate of growth and exponential decay has a negative rate of growth. College Algebra with Corequisite Support 2020-09-23T00:00:00Z Half-life is a measure of decay and is thus associated with exponential decay models. College Algebra 2021-12-21T00:00:00Z Exponential growth has a positive rate of growth or growth constant, k , and exponential decay has a negative rate of growth or decay constant, k. Intermediate Algebra 2020-05-06T00:00:00Z We say that such systems exhibit exponential decay, rather than exponential growth. Calculus, Volume 1 2016-03-30T00:00:00Z This equation shows exponential decay of radioactive nuclei. College Physics for AP Courses 2015-08-12T00:00:00Z Notice that the graph in Figure 4 passes through the initial points given in the problem, and The graph is an example of an exponential decay function. Algebra and Trigonometry 2015-02-13T00:00:00Z The contagion may soon experience exponential decay — the opposite of its explosive spread last spring and again in the late fall and winter. Is it now reasonable to discuss the end of the pandemic? Yes, but with caveats. 2021-05-13T04:00:00Z Radioactive substances decay or decompose according to the exponential decay formula. Intermediate Algebra 2020-05-06T00:00:00Z As with exponential growth, there is a differential equation associated with exponential decay. Calculus, Volume 1 2016-03-30T00:00:00Z The subsequent γ-ray afterglow subsided quickly, with an exponential decay constant of 40–60 milliseconds, and was followed by prolonged line emission at about 0.511 megaelectronvolts, which lasted for a minute. Photonuclear reactions triggered by lightning discharge 2017-11-21T05:00:00Z For the following exercises, determine whether the equation represents exponential growth, exponential decay, or neither. Algebra and Trigonometry 2015-02-13T00:00:00Z The kinetics traces were fitted using a single exponential decay function and the resulting lifetime values are reported in Extended Data Fig. 8g. A low-spin Fe(iii) complex with 100-ps ligand-to-metal charge transfer photoluminescence : Nature : Nature Research 2017-03-28T04:00:00Z What is the difference between the equation for exponential growth versus the equation for exponential decay? Intermediate Algebra 2020-05-06T00:00:00Z The following figure shows a graph of a representative exponential decay function. Calculus, Volume 1 2016-03-30T00:00:00Z Just as systems exhibiting exponential growth have a constant doubling time, systems exhibiting exponential decay have a constant half-life. Calculus, Volume 1 2016-03-30T00:00:00Z In an exponential decay function, the base of the exponent is a value between 0 and 1. Algebra and Trigonometry 2015-02-13T00:00:00Z One of the most common applications of an exponential decay model is carbon dating. Calculus, Volume 1 2016-03-30T00:00:00Z Exponential growth and exponential decay are two of the most common applications of exponential functions. Calculus, Volume 1 2016-03-30T00:00:00Z Let’s look at a physical application of exponential decay. Calculus, Volume 1 2016-03-30T00:00:00Z Systems that exhibit exponential decay follow a model of the form y = y0 e−kt. Calculus, Volume 1 2016-03-30T00:00:00Z We may use the exponential decay model when we are calculating half-life, or the time it takes for a substance to exponentially decay to half of its original quantity. Algebra and Trigonometry 2015-02-13T00:00:00Z If is positive, then we have exponential growth when and exponential decay when See Example 1. Algebra and Trigonometry 2015-02-13T00:00:00Z Figure 4 The graph of models exponential decay. Algebra and Trigonometry 2015-02-13T00:00:00Z Note that this is not quite the right model for exponential decay. Calculus, Volume 1 2016-03-30T00:00:00Z On the other hand, if a quantity is falling rapidly toward zero, without ever reaching zero, then we should probably choose the exponential decay model. Algebra and Trigonometry 2015-02-13T00:00:00Z Unless the room temperature is zero, this will correspond to a vertical shift of the generic exponential decay function. Algebra and Trigonometry 2015-02-13T00:00:00Z One of the common terms associated with exponential decay, as stated above, is half-life, the length of time it takes an exponentially decaying quantity to decrease to half its original amount. Algebra and Trigonometry 2015-02-13T00:00:00Z Every radioactive isotope has a half-life, and the process describing the exponential decay of an isotope is called radioactive decay. Algebra and Trigonometry 2015-02-13T00:00:00Z From our previous work, we know this relationship between y and its derivative leads to exponential decay. Calculus, Volume 1 2016-03-30T00:00:00Z To find the half-life of a function describing exponential decay, solve the following equation: Algebra and Trigonometry 2015-02-13T00:00:00Z |
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