islamic jurisprudence is one of the most important issues in the field of islamic studies. islamic jurisprudence has been studied by numerous western scholars. some of them assumed that islamic system of law adopted jewish or roman system of law and in many cases based on them.the origin of islamic urisprudence is also one of the controversial issues in this respect. some western scholars, in a...

Supposing there exists an effective charge which defines evolution scheme for both unpolarised and polarised parton distribution functions (DFs) that is all-orders exact using Ansätze hadron-scale proton valence quark DFs, constrained by flavour-separated axial charges insights from perturbative quantum chromodynamics, predictions are delivered all DFs at the scale ζC2=3 GeV2. The pointwise beh...

The existence of an extremal self-dual binary linear code of length 120 is a long-standing open problem. We continue the investigation of its automorphism group, proving that automorphisms of order 30 and 57 cannot occur. Supposing the involutions acting fixed point freely, we show that also automorphisms of order 8 cannot occur and the automorphism group is of order at most 120, with further r...

Supposing only that there is an effective charge which defines evolution scheme for parton distribution functions (DFs) all-orders exact, strict lower and upper bounds on all Mellin moments of the valence-quark DFs pion-like systems are derived. Exploiting contemporary results from numerical simulations lattice-regularised quantum chromodynamics (QCD) consistent with these bounds, parameter-fre...

Based on recent theorems about quantum value-indefiniteness it is conjectured that many issues of “Born’s quantum mechanics” can be overcome by supposing that only a single pure state exists; and that the quantum evolution permutes this state.

We present a general existence proof for a wide class of non-linear elliptic equations which can be applied to problems with barrier conditions without specifying any assumptions guaranteeing the uniqueness or local uniqueness of particular solutions. As an application we prove the existence of closed hypersurfaces with curvature prescribed in the tangent bundle of an ambient Riemannian manifol...

We present a general existence proof for a wide class of non-linear elliptic equations which can be applied to problems with barrier conditions without specifying any assumptions guaranteeing the uniqueness or local uniqueness of particular solutions. As an application we prove the existence of closed hypersurfaces with curvature prescribed in the tangent bundle of an ambient Riemannian manifol...