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The condensed Fukui function or condensed reactivity indicator is the same idea, but applied to an atom within a molecule, rather than a point in three-dimensional space. The Fukui function allows one to predict, using density functional theory , where the most electrophilic and nucleophilic sites of a molecule are.
Therefore, the Fourier transform goes from one space of functions to a different space of functions: functions which have a different domain of definition. In general, ξ {\displaystyle \xi } must always be taken to be a linear form on the space of its domain, which is to say that the second real line is the dual space of the first real line.
The activation function of a node in an artificial neural network is a function that calculates the output of the node based on its individual inputs and their weights. Nontrivial problems can be solved using only a few nodes if the activation function is nonlinear .
By Darboux's theorem, the derivative of any differentiable function is a Darboux function. In particular, the derivative of the function (/) is a Darboux function even though it is not continuous at one point. An example of a Darboux function that is nowhere continuous is the Conway base 13 function.
Figure 1. This Argand diagram represents the complex number lying on a plane.For each point on the plane, arg is the function which returns the angle . In mathematics (particularly in complex analysis), the argument of a complex number z, denoted arg(z), is the angle between the positive real axis and the line joining the origin and z, represented as a point in the complex plane, shown as in ...
Where they really perform their true function is during experiences like this when their experience and training comes into play.” Despite the high-profile crashes this year, "we are in the ...
Thomae's function: is a function that is continuous at all irrational numbers and discontinuous at all rational numbers. It is also a modification of Dirichlet function and sometimes called Riemann function. Kronecker delta function: is a function of two variables, usually integers, which is 1 if they are equal, and 0 otherwise.
Drifting Detective: Tragedy in the Red Valley (風来坊探偵 赤い谷の惨劇, Fūraibō tantei: akai tani no sangeki) (also known as Duel in the Valley) is a 1961 Japanese film directed by Kinji Fukasaku and starring Sonny Chiba.