Suppose that E([subset] X) be a subvariety
such that dim([pi](E)) < dim(E) and [f.sup.-1](E) = E.
(i) Let Y [subset] X be a Lagrangian constant cycle subvariety
(i.e., dim Y = m and the pushforward map [A.sub.0] (Y) [right arrow] [A.sub.0](X) has image of dimension 1).
And I hoped they had visited a nearby booth showcasing varieties of peanuts including one called Namnama (Ilokano for heart), with a subvariety
called Asha (hope) and a three-nut peanut from Luna, Apayao.
Identifying the singular subvariety
on which [[pi].sub.B] (or one of its powers) is undefined seems like an interesting question, but it is one that we leave to others.
(iii) we provide formulas for the elements of the subvariety
[M.sub.[LAMBDA]] of [I.sub.[LAMBDA]] whose Frobenius norm is minimal, and for the unique element [M.sub.[LAMBDA]] [member of] [M.sub.[LAMBDA]] with only nonnegative entries;
was sensitive to placement of accent or stress is supported by paradigmatic aspiration contrasts noted in the conservative speech of Puri (a subvariety
of NP): bhruii 'brother', brahu 'brothers'; gbaw'cow', gehfcows'.
An Abelian Lie algebra L spanned by the vector fields [Z.sub.1],..., [Z.sub.p] is called a conditional symmetry algebra of the kth order PDE (2.1) if the vector fields [Z.sub.1],..., [Z.sub.p] are tangent to the subvariety
Sometimes referred to as genetic softnecks from the Artichoke subvariety
, these unique garlics combine large bulbs with a single-layer clove arrangement, a false flower stalk, a purple or marbled color, and plump cloves of stiff necks.
We describe a subvariety
DV([??]eB [intersection] [??]l) of [??]l and prove that a semiring S belongs to DV( [??]eB [intersection] [??]l) if and only if S is a subdirect product of distributive lattice and a member in [??]eB [intersection] [??]l.
In the 1920s, French horticulturist Desire Bois was one of the first to give this plant more than passing attention, recommending it highly and noting that there is a subvariety
called "lettuce-leaved" golden corn salad because it resembles a dwarf head of lettuce.
, known as the Atlantic white cedar, is found along the East Coast from Maine to South Carolina.
E-mail as a new subvariety
of medium and its effects upon the message.