Axial algebras are non-associative generated by semisimple idempotents, known as axes, whose definition is motivated examples of related to group theory and theoretical physics. In this paper, we construct an axial algebra Monster type over the ring R[t]. By specialising parameter t a value in R, infinite family pairwise non-isomorphic type. This first its kind has number important unexpected p...

This paper fortifies and defends the so called Sufficiency Argument (SA) against Classical Invariantism. In Sect. 2, I explain the version of the SA formulated but then rejected by Brown (2008a). In Sect. 3, I show how cases described by Hawthorne (2004), Brown (2008b), and Lackey (forthcoming) threaten to undermine one or the other of the SA’s least secure premises. In Sect. 4, I buttress one ...

background: the cervical spine is the most vulnerable part of the vertebral column and the rotational movements are the most dangerous movements which may cause damages to cervical spine. a good treatment option for the cervical disc disease is the replacement of a damaged disc with an artificial disc that has shown satisfactory clinical results. methods: the c4 to c6 vertebrae of a normal subj...

The existing research on the distribution characteristics of displacement and acceleration transformer axial vibration under short-circuit conditions is based ignoring damping parameters. An accurate description windings, especially for winding conditions, has a poor effect. In this paper, damping, stiffness, mass parameters between windings are comprehensively considered, classical “mass-sprin...

Assuming that the ground anchor is connected with rock–soil of sidewall by a tangential linear spring, load transfer model fully grouted established using spring element method, and analytical solutions displacement, axial force, shear stress distribution in upper lower parallel strata foundation sandwich are given, respectively. Corresponding to above two kinds alternating strata, mechanical b...

An analytical solution for nonlinear vibration of an initially stressed beam with elastic end restraints resting on a nonlinear elastic foundation is obtained. As a first step in solving nonlinear vibration equation, the linear vibration mode functions for a beam with elastic end restraints resting on a linear elastic foundation are obtained. Then, the nonlinear vibration equation is solved by ...

A system for precise angular laser beam deflection by using a plane mirror is presented. The mirror was fixed to two supports attached to its edges. This article details the theoretical basis of how this deflector works. The spring deflection of a flat circular metal plate under a uniform axial buckling was used and the mechanical stress was generated by a piezoelectric layer. The characteristi...