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 ?
Due to the involution on any inverse semigroup, this will also be isomorphic to the lattice of right congruences.
Then the entries [a.sub.i](x) and [b.sub.i](x) of the matrix A(x) and of the matrix B(x), obtained as a result of transformation, satisfy the congruences (16)-(18).
In view of congruences (3.37) and (3.39), we arrive at (3.9).
In [1], Saikia and Boruah considered the congruence identities for [c.sub.sl](n) by employing the following lemma.
Particularly, b adic expension of an integer N and its congruence modulo b was used to characterise a given integer regarding its divisibility rule.
Recall that a monoid congruence is an equivalence relation [equivalent to] which is left and right compatible with the product; in other words, for any monoid elements a, b, c, d, if a [equivalent to] b and c [equivalent to] d then ac [equivalent to] bd.
Some single-country longitudinal studies have tried to explain opinion-policy congruence using variables that do vary in the medium run, like the party in power or the size of the majority in parliament.
Miezaki, Congruences on the Fourier coefficients of the Mathieu mock theta function.
Assume now that f + g < n - 1 and let us find the solutions of the congruence [([p.sup.2] + rq).sup.2] [equivalent to] 1 (mod [2.sup.n]).
For the definitions and generalities about systems of conservation laws and their correspondence with congruences of lines, we refer to [AF01], see also [DM05].
If ~ is a congruence on a KU-algebra G, then [C.sub.0] = {x [member of] G | x ~ 0} is an ideal of G.
Ojah, "Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations," Ramanujan Journal, vol.