Vector-group in real Euclidean space

FUZZY HV -SUBSTRUCTURES IN A TWO DIMENSIONAL EUCLIDEAN VECTOR SPACE

In this paper, we study fuzzy substructures in connection withHv-structures. The original idea comes from geometry, especially from thetwo dimensional Euclidean vector space. Using parameters, we obtain a largenumber of hyperstructures of the group-like or ring-like types. We connect,also, the mentioned hyperstructures with the theta-operations to obtain morestrict hyperstructures, as Hv-groups...

fuzzy hv -substructures in a two dimensional euclidean vector space

in this paper, we study fuzzy substructures in connection withhv-structures. the original idea comes from geometry, especially from thetwo dimensional euclidean vector space. using parameters, we obtain a largenumber of hyperstructures of the group-like or ring-like types. we connect,also, the mentioned hyperstructures with the theta-operations to obtain morestrict hyperstructures, as hv-groups...

Time-Dependent Real-Space Renormalization Group Method

In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

Vector and Tensor Analysis in Euclidean Space

Completeness of the Real Euclidean Space

(iii) for all elements a, b of Rn holds (the addition of 〈En, ‖·‖〉)(a, b) = a+b, (iv) for every element r of R and for every element x of Rn holds (the external multiplication of 〈En, ‖ · ‖〉)(r, x) = r · x, and (v) for every element x of Rn holds (the norm of 〈En, ‖ · ‖〉)(x) = |x|. Let n be a natural number. Note that the addition of 〈En, ‖ · ‖〉 is commutative and associative. Let n be a non em...