Congruences


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Congruences

 

morphological adaptations in different individuals of the same species that foster closer functional ties and ensure the integrity of the species.

Congruences arise in individuals of different generations (for example, in mammals, between the extraembryonic membranes of the embryo and the uterine mucosa), different sexes (for example, in insects, the mutual adaptation of the copulative apparatus of male and female), the same sex (for example, in male ruminants, the “tournament” horns, which prevent the males from killing one another in battles for the female), and colonial forms, which have different functions and different structures (for example, in hydroids, the gastrozooids and dactylozooids).

References in periodicals archive ?
It can be shown that kernels of sup-algebra homomorphisms are sup-algebra congruences.
5 The union of the sylvester and the stalactic congruences
This happens because the factors we would most expect to influence opinion-policy congruence, like institutions and political culture, are generally stable over relatively long periods.
Let X be a SU-algebra, I be an ideal of X and ~ be a congruence relation on X.
Assume now that f + g < n - 1 and let us find the solutions of the congruence [([p.
Atkin of the University of Illinois at Chicago discovered a few additional, much more complicated congruences.
Besides the q-analog (7) of Babbage's congruence (3) we will employ q-analogs of Wolstenholme's harmonic congruences (4) and (5) which were recently supplied by Shi and Pan, (SP07):
Let C(S) be the set of all congruences on S and let A[sigma] be the set {a [member of] S| ([there exists]x [member of] A) (a, x) [member of] [sigma]} for any [sigma] [member of] C(S).
Indeed, "it was really believed that there would probably never be any new major discoveries regarding partition congruences," says George E.
In this section, we discuss lattice congruences of the weak order.
We denote by Con(S) the set of all congruences on semiring S.
8 of [11], we can also deduce the other identities and congruences involving the Bernoulli numbers and the Euler numbers.