In this paper we extract the geometric characteristics from an antipodally symmetric spherical function (ASSF), which can be described equivalently in the spherical harmonic (SH) basis, in the symmetric tensor (ST) basis constrained to the sphere, and in the homogeneous polynomial (HP) basis constrained to the sphere. All three bases span the same vector space and are bijective when the rank of...

We show that in tilting perfect fluid cosmological models with an ultra-radiative equation of state, generically the tilt becomes extreme at late times and, as the tilt instability sets in, observers moving with the tilting fluid will experience singular behaviour in which infinite expansion is reached within a finite proper time, similar to that of phantom cosmology (but without the need for e...

introduction: ski is a fast sport with a high risk of falling. the purpose of this study is to investigate the relationship of core strength with static and dynamic balance in snowboarders. materials and methods: forty male athletes participated in this study with a history activity of at least 6 seasons in snowboard skiing sport (mean age 26.85±3.30yr, height 180.45±6.08cm, weight 79.86±6.14kg...

what we mean by alliteration of homogeneous words is that such alliteration is based on two or more lexical basis that is conspicuously coordinative and homogeneous with each other. they are homogeneous in that their form, structure, and tone, are similar. we can name two homogeneous words, two bases of homonym. it is evident that such words, though homogeneous from one hand, should necessarily...

In this paper we study hereditarily homogeneous generalized topological spaces. Various properties of hereditarily homogeneous generalized topological spaces are discussed. We prove that a generalized topological space is hereditarily homogeneous if and only if every transposition of $X$ is a $mu$-homeomorphism on $X$.