فهرست نشریات علمی دسترسی آزاد ایران

‎This paper extends the scope of algebraic computation based on a non standard × to ‎the more basic case of a non standard +‎, ‎where standard means associative ‎and commutative‎. ‎Two physically meaningful examples of a non standard + are ‎provided by the observation of motion in Special Relativity‎, ‎from either ‎outside (3D) or inside (2D or more)‎, ‎We revisit the "gyro"-theory of Ungar to present ‎the multifaceted information processing which is created by a metric cloth W‎, ‎a relating computational construct framed in a normed vector space V‎, ‎and based ‎on a non standard addition denoted ⊕ whose commutativity and associativity ‎are ruled (woven) by a relator‎, ‎that is a map which assigns to each pair of admissible vectors ‎in V an automorphism in Aut(W‎). ‎Special attention is given to the case where the relator is ‎directional‎.