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One similarly finds that the elliptic functions (complex functions that are periodic in two directions) are the differentiable functions on the torus.
The following is a partial list of the different categories that have functions: Bessel Functions, Complex Numbers, Curve Fitting, Data Analysis, Differential Equations, Finance, Fourier Transforms, Graphing, Hyperbolic Functions, Image Processing, Interpolation, Logs, Number Theory, Probability, Solving, Sorting, Statistics, Trigonometry, Vectors, and Waves.
Another important feature of complexity is non-linearity [ 17]: due to partly non-linear input - output functions, complex systems will show unpredictable behaviour.
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Functions can map complex motions too.
where, are complex-valued functions,, are complex numbers.
In fact, genes are not functionally independent; they work in synergy to perform certain biological functions, such as biological processes, molecular function, complexes or pathways [ 20- 22].
CRISPRs function as regulatory complexes.
For extension of these functions to complex variables and for basic properties see [1].
Modal dictionaries are obtained by discretizing modal functions (damped complex exponentials).
where are functions with complex values, ( denotes the transposed conjugate of ) and are infinitely differentiable in.
They have many regulatory functions in complex organisms.
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