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Double exponential function. A double exponential function is a constant raised to the power of an exponential function. The general formula is (where a >1 and b >1), which grows much more quickly than an exponential function. For example, if a = b = 10: f (x) = 10 10x. f (0) = 10.
Half-exponential functions are used in computational complexity theory for growth rates "intermediate" between polynomial and exponential. [2] A function grows at least as quickly as some half-exponential function (its composition with itself grows exponentially) if it is non-decreasing and , for every . [5]
An exponential backoff algorithm is a form of closed-loop control system that reduces the rate of a controlled process in response to adverse events. For example, if a smartphone app fails to connect to its server, it might try again 1 second later, then if it fails again, 2 seconds later, then 4, etc. Each time the pause is multiplied by a ...
The doubling time is a 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 net population growth was 2.7 percent in the year 2022, dividing 72 by 2.7 gives an approximate doubling time of about 27 years.
A possible nuclear fission chain reaction: 1) A uranium-235 atom absorbs a neutron and fissions into two fission fragments, releasing three new neutrons and a large amount of binding energy. 2) One of those neutrons is absorbed by an atom of uranium-238, and does not continue the reaction. Another neutron leaves the system without being absorbed.
Synaptogenesis is the formation of synapses between neurons in the nervous system. Although it occurs throughout a healthy person's lifespan, an explosion of synapse formation occurs during early brain development, known as exuberant synaptogenesis. [1] Synaptogenesis is particularly important during an individual's critical period, during ...
Exponential decay. A quantity undergoing exponential decay. Larger decay constants make the quantity vanish much more rapidly. This plot shows decay for decay constant ( λ) of 25, 5, 1, 1/5, and 1/25 for x from 0 to 5. A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.
This can be defined both continuously (for a real-valued function of a real variable) or discretely (for a sequence of real numbers, i.e., real-valued function of an integer or natural number variable). Examples. Examples of quadratic growth include: Any quadratic polynomial. Certain integer sequences such as the triangular numbers.