We discuss the inner product spaces of the middle homology groups of manifolds of dimensions 2 and 4. We prove that two compact 2-manifolds are homeomorphic if and only if the inner product spaces of their first homology groups are isomorphic. We outline a proof that every inner product space can be realized as the first homology group of some surface. We conclude by proving that two simply con...

Some related results to Pečari´c's inequality in inner product spaces that generalises Bombieri's inequality, are given.

Inner-product encryption (IPE) provides fine-grained access control and has attractive applications. Agrawal, Freeman, and Vaikuntanathan (Asiacrypt 2011) proposed the first IPE scheme from lattices by twisting the identity-based encryption (IBE) scheme by Agrawal, Boneh, and Boyen (Eurocrypt 2010). Their IPE scheme supports inner-product predicates over Rμ , where the ring is R = Zq . Several ...

Speaker comparison, the process of finding the speaker similarity between two speech signals, occupies a central role in a variety of applications—speaker verification, clustering, and identification. Speaker comparison can be placed in a geometric framework by casting the problem as a model comparison process. For a given speech signal, feature vectors are produced and used to adapt a Gaussian...

This paper proposes the first inner product encryption (IPE) scheme that is adaptively secure and fully attribute-hiding (attributehiding in the sense of the definition by Katz, Sahai and Waters), while the existing IPE schemes are either fully attribute-hiding but selectively secure or adaptively secure but weakly attribute-hiding. The proposed IPE scheme is proven to be adaptively secure and ...

The spectral transformation Lanczos method is very popular for solving large scale Her-mitian generalized eigenvalue problems. The method uses a special inner product so that the symmetric Lanczos method can be used. Sometimes, a semi-inner product must be used. This may lead to instabilities and breakdown. In this paper, we suggest a cure for breakdown by use of an implicit restart in the Lanc...

This Article is brought to you for free and open access by the Computer Science at ODU Digital Commons. It has been accepted for inclusion in Computer Science Faculty Publications by an authorized administrator of ODU Digital Commons. For more information, please contact [email protected]. Repository Citation Lin, R. and Olariu, S., "Fast Inner Product Computation on Short Buses" (2002). C...

We propose new constructions for inner product encryption – IPE1 and IPE2, both secure under the eXternal Diffie-Hellman assumption (SXDH) in asymmetric pairing groups. The first scheme has constant-size ciphertexts whereas the second one is weakly attribute hiding. IPE2 is derived from the identity-based encryption scheme of Jutla Roy (Asiacrypt 2013), that was extended from tag-based quasi-ad...