In this paper,~some results on finite dimensional generating spaces of quasi-norm family are established.~The idea of equivalent quasi-norm families is introduced.~Riesz lemma is established in this space.~Finally,~we re-define B-S fuzzy norm and prove that it induces a generating space of quasi-norm family.

This study examines the issue of norm construction in al-Ghazālī’s thought focusing on grounds advanced to support his radical infallibilist position. To fulfill such end, al-Ghazālī, I explain, relies two types arguments, first one relates presumptive nature legal texts order highlight their fundamental indeterminacy and second links interpreter show impossibility fall into error. buttress the...

Local and global well-posedness of the coagulation-fragmentation equation with size diffusion are investigated. Owing to semilinear structure equation, a semigroup approach is used, building upon generation results previously derived for linear fragmentation-diffusion operator in suitable weighted $L_1$-spaces.

In this paper we determine the stretch factor of the L1-Delaunay and L∞-Delaunay triangulations, and we show that this stretch is √ 4 + 2 √ 2 ≈ 2.61. Between any two points x, y of such triangulations, we construct a path whose length is no more than