Note on the Representation of Surfaces

If condition (2) holds then no line intersects all the segments AB, BC, DE, EA (if such line exists then it also intersects the segment CD by condition (2) which is impossible due

The volumes of the surfaces of 3-dimensional Euclidean Space which are traced by a fixed point as a trajectory surface during 3-parametric motions are given by H..

Many interesting graphs are obtained from combining pairs (or more) of graphs or operating on a single graph in some way. We now discuss a number of operations which are used

The proof there does not use the fact that H ∗ (X, C[2]) has a counit, in fact it only uses its diagonal map. It relies on the earlier work in [Leh99], which has been extended to

As we have anticipated, Theo- rem 4.1 of [11] ensures that each immersed minimal surface having properly embedded ends with finite total curvature that is in a neighbourhood of M k

Abstract The representation theory (idempotents, quivers, Cartan invariants, and Loewy series) of the higher-order unital peak algebras is investigated.. On the way, we obtain

8.1 In § 8.1 ∼ § 8.3, we give some explicit formulas on the Jacobi functions, which are key to the proof of the Parseval-Plancherel type formula of branching laws of

Classical definitions of locally complete intersection (l.c.i.) homomor- phisms of commutative rings are limited to maps that are essentially of finite type, or flat.. The