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Half-life (symbol t ½) is the time required for a quantity (of substance) to reduce to half of its initial value.The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive.
In Boolean algebra, a monotonic function is one such that for all a i and b i in {0,1}, if a 1 ≤ b 1, a 2 ≤ b 2, ..., a n ≤ b n (i.e. the Cartesian product {0, 1} n is ordered coordinatewise), then f(a 1, ..., a n) ≤ f(b 1, ..., b n). In other words, a Boolean function is monotonic if, for every combination of inputs, switching one of ...
Quantity (common name/s) (Common) symbol/s Defining equation SI units Dimension Number of atoms N = Number of atoms remaining at time t. N 0 = Initial number of atoms at time t = 0
Big O notation is a mathematical notation that describes the limiting behavior of a function when the argument tends towards a particular value or infinity. Big O is a member of a family of notations invented by German mathematicians Paul Bachmann, [1] Edmund Landau, [2] and others, collectively called Bachmann–Landau notation or asymptotic notation.
For example, a study on models of Canadian lynx showed there was chaotic behavior in the population growth. [133] Chaos can also be found in ecological systems, such as hydrology. While a chaotic model for hydrology has its shortcomings, there is still much to learn from looking at the data through the lens of chaos theory. [134]
Gaussian process is a powerful non-linear interpolation tool. Many popular interpolation tools are actually equivalent to particular Gaussian processes. Gaussian processes can be used not only for fitting an interpolant that passes exactly through the given data points but also for regression; that is, for fitting a curve through noisy data.
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