21. To study the Fourier transform, it is best to consider " complex "-valued test functions and complex-linear distributions. 22. It is discontinuous at " x " = 0, whereas we usually choose test functions to be smooth. 23. This integral is a real number which depends functional on the space of test functions D ( "'R "'). 24. For given test functions , the relevant notion of convergence only corresponds to the topology used in "'C " '. 25. The if-test functions include: 26. As a distribution, the Dirac delta is a linear functional on the space of test functions and is defined by 27. In the second part, test functions with their respective Pareto fronts for multi-objective optimization problems ( MOP ) are given. 28. The test functions used to evaluate the algorithms for MOP were taken from Deb, Binh et al . and Binh. 29. The basic idea in distribution theory is to reinterpret functions as linear functionals acting on a space of test functions . 30. Here } } is the distribution that takes a test function to the Cauchy principal value of " ds " } }.
