◆ 【参考】 英語ディベート教材 HPDU of Japan id class vol 1

Next, we prove bounds for the dimensions of p-adic MLV-spaces in Section 3, assuming results in Section 4, and make a conjecture about a special element in the motivic Galois group

The proof uses a set up of Seiberg Witten theory that replaces generic metrics by the construction of a localised Euler class of an infinite dimensional bundle with a Fredholm

Then the strongly mixed variational-hemivariational inequality SMVHVI is strongly (resp., weakly) well posed in the generalized sense if and only if the corresponding inclusion

Shigeyuki MORITA Casson invariant and structure of the mapping class group.. .) homology cobordism invariants. Shigeyuki MORITA Casson invariant and structure of the mapping

A class F of real or complex valued functions is said to be inverse closed if 1/f remains in the class whenever f is in the class and it does not vanish, and it is said to

These include the relation between the structure of the mapping class group and invariants of 3–manifolds, the unstable cohomology of the moduli space of curves and Faber’s

We also show that the Euler class of C ∞ diffeomorphisms of the plane is an unbounded class, and that any closed surface group of genus > 1 admits a C ∞ action with arbitrary

For every odd prime power q, there is a unique semifield, up to isotopism, of order q 6 in subclass F 4 (a) which is 3-dimensional over its right nucleus and hence 6- dimensional