In Coleman's case, he decided to jettison " the whole ramified Negro thing, " disowned his mother and was accused by his brother of being a self-hating black.
42.
Conversely, given a configuration of a conic and six lines which tangent to it in the plane, we may define the double cover of the plane ramified over the union of these 6 lines.
43.
Another protection were the then widely ramified, sometimes almost impenetrable and marshy floodplain of the Upper Rhine and the presence of numerous meandering tributaries, which also considerably more difficult to approach the border zone.
44.
The extension " L " / " K " is ramified in exactly those primes that divide the relative discriminant, hence the extension is unramified in all but finitely many prime ideals.
45.
Later Russell examined the problem of whether propositional functions were predicative or not, and he proposed two theories to try to get at this question : the zig-zag theory and the ramified theory of types.
46.
This species has oscula situated near its border; regular non-lophose calthrops of one size, rare tetralophose calthrops and candelabra, the fourth actine of which is basally ramified into 4 or 5 microspined rays.
47.
The plant contains ramified stems that are spread out, carrying sheets opposed, and are long and narrow, with the end of the stems increasing into a quantity of isolated small flowers, with diameters ranging from.
48.
The opposite of impredicativity is predicativity, which essentially entails building stratified ( or ramified ) theories where quantification over lower levels results in variables of some new type, distinguished from the lower types that the variable ranges over.
49.
For example, hyperbolic Riemann surfaces are ramified covering spaces of the sphere ( they have non-constant meromorphic functions ), but the sphere does not cover or otherwise map to higher genus surfaces, except as a constant.
50.
Much of the significance of the discriminant lies in the fact that ramified ultrametric places are all places obtained from factorizations in "'Q " "'p " where " p " divides the discriminant.
