Fonction régulière non analytiqueEn mathématiques, les fonctions régulières (i.e. les fonctions indéfiniment dérivables) et les fonctions analytiques sont deux types courants et d'importance parmi les fonctions. Si on peut prouver que toute fonction analytique réelle est régulière, la réciproque est fausse. Une des applications des fonctions régulières à support compact est la construction de fonctions régularisantes, qui sont utilisées dans la théorie des fonctions généralisées, telle la théorie des distributions de Laurent Schwartz.
SmoothnessIn mathematical analysis, the smoothness of a function is a property measured by the number of continuous derivatives it has over some domain, called differentiability class. At the very minimum, a function could be considered smooth if it is differentiable everywhere (hence continuous). At the other end, it might also possess derivatives of all orders in its domain, in which case it is said to be infinitely differentiable and referred to as a C-infinity function (or function).
Systemic biasSystemic bias is the inherent tendency of a process to support particular outcomes. The term generally refers to human systems such as institutions. Systemic bias is related to and overlaps conceptually with institutional bias and structural bias, and the terms are often used interchangeably. According to Oxford Reference, institutional bias is "a tendency for the procedures and practices of particular institutions to operate in ways which result in certain social groups being advantaged or favoured and others being disadvantaged or devalued.
