FURTHERMORE, if one or more of the nations in the multi-national state had, for a long period of time, lived as geographically separate and autonomous groups, the constitution of the state must, efortiori, be federal, and the constituent states must be organised on the dual basis
of language and separate nationality.
Define a morphism [[lambda].sub.M] : Hom([M.sup.*], M) [right arrow] M [cross product] M by [psi] [??] [e.sub.i] [cross product] [psi] ([f.sup.i]),where ([e.sub.i], [f.sup.i]) is a dual basis
Suppose there exists a dual window function that can meet the need of orthogonality, and the dual window constitutes a dual basis
, such that
Saudi Arabia has a dual basis
strategy towards tackling violence and terrorism on the local and international levels.
In this context, an agreement was signed between the first company under the DTP that is the TNT Business Solutions, the Skills Working Group and the MCCI Business School to develop courses on a dual basis
"There's a clamor on the DBS side if we can potentially list on a dual basis
the FMETF," Dispo said.
So this defines dual Grothendieck polynomials as the dual basis
to Grassmannian Grothendieck polynomials.
and [H.sup.a.sub.s] with curl-conforming dual basis
functions [[??].sub.j] as
Moreover, the immaculate basis gives rise to a dual basis
in the quasi-symmetric function algebra.
The report was released in Bangkok last week, and highlights a decades-long pattern of religious freedom violations, including the destruction of thirteen large Christian crosses, four of them since President Thein Sein's government took power, the construction of fifteen Buddhist pagodas or monasteries by authorities using Chin Christians as forced labour, and more than 40 separate incidents of torture or ill-treatment, targeted at Chin on the dual basis
of ethnicity and religion.
Key words and phrases : dual basis
, spline-type space, localization.
A dual basis
also exists for the draft directive on supplemental pensions (Articles 42 and 94), but the obstacle appears easier to skirt in that case.