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In constructive mathematics, "not empty" and "inhabited" are not equivalent: every inhabited set is not empty but the converse is not always guaranteed; that is, in constructive mathematics, a set that is not empty (where by definition, "is empty" means that the statement () is true) might not have an inhabitant (which is an such that ).
The interior of a point in an at least one-dimensional ambient space is empty, but its relative interior is the point itself. The interior of a line segment in an at least two-dimensional ambient space is empty, but its relative interior is the line segment without its endpoints.
A country demonym denotes the people or the inhabitants of or from there; for example, "Germans" are people of or from Germany. Demonyms are given in plural forms. Singular forms simply remove the final s or, in the case of -ese endings, are the same as the plural forms. The ending -men has feminine equivalent -women (e.g. Irishman, Scotswoman).
It is based on vector field calculations obtained by assuming that, in a given space, all inhabitants and jobs exert the same attractive force A and repulsive force R. The net force (A - R) exerted by each inhabitant or job is given by [1/(1 + d)] - [1/( β + d/2)], where d = distance and β is the only parameter.
The following is a list of adjectival forms of cities in English and their demonymic equivalents, which denote the people or the inhabitants of these cities. Demonyms ending in -ese are the same in the singular and plural forms. The ending -man has feminine equivalent -woman (e.g. an Irishman and a Scotswoman).
"formerly domiciled resident", in relation to a tax year, means a person— (a) who was born in the UK, (b) whose domicile of origin was in the UK, (c) who was resident in the UK for that tax year, and (d) who was resident in the UK for at least one of the two tax years immediately preceding that tax year. [79]
Also called infinitesimal calculus A foundation of calculus, first developed in the 17th century, that makes use of infinitesimal numbers. Calculus of moving surfaces an extension of the theory of tensor calculus to include deforming manifolds. Calculus of variations the field dedicated to maximizing or minimizing functionals. It used to be called functional calculus. Catastrophe theory a ...
Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way. For example, the physicist Albert Einstein 's formula E = m c 2 {\displaystyle E=mc^{2}} is the quantitative representation in mathematical notation of mass–energy ...