Taila Hartley ([email protected]) Luca Cavallone ([email protected]) Nelly Sabbaghian ([email protected]) Rachel Silva-Smith ([email protected]) Nancy Hamel ([email protected]) Olga Aleynikova ([email protected]) Erika Smith ([email protected]) Valerie Hastings ([email protected]) Pedro Pinto ([email protected]) Marc Tischkowitz (m...

This paper deals with an explanation of a paradox posed by Hamel in his 1949 book on Theoretical Mechanics. The explanation deals with the foundations of mechanics and points to new insights into analytical dynamics. 2010 Elsevier Inc. All rights reserved.

The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence. A few important results like deletion theorem, extension theorem, dimension theorem have been established in this hypervector space.

T Kleefstra, H G Yntema, A R Oudakker, M J G Banning, V M Kalscheuer, J Chelly, C Moraine, H-H Ropers, J-P Fryns, I M Janssen, E A Sistermans, W N Nillesen, L B A de Vries, B C J Hamel, H van Bokhoven . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

T Kleefstra, H G Yntema, A R Oudakker, M J G Banning, V M Kalscheuer, J Chelly, C Moraine, H-H Ropers, J-P Fryns, I M Janssen, E A Sistermans, W N Nillesen, L B A de Vries, B C J Hamel, H van Bokhoven . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...