one of the most functional reasons in the methodology of islamic principles and jurisprudence as well as law is istiṣḥāb (presumption of continuity). istiṣḥāb is judgment on the continuity of what has existed in the past. most of the legal theoreticians, after waḥīd bihbahānī, believe that istiṣḥāb is a practical principle; however, further research into the evidences for the validity of istiṣḥ...

this paper is devoted to the study of establishing sufficient conditions forexistence and uniqueness of positive solution to a class ofnon-linear problems of fractional differential equations. the boundary conditionsinvolved riemann-liouville fractional order derivative and integral. further, the non-linear function $f$ containfractional order derivative which produce extra complexity. thank to...

Two celebrated statistical principlesPrinciple of Maximum Likelihood and Principle of Maximum Entropy are merged establishing a novel estimation scheme for statistical inversion.

The isodiametric inequality is derived from the isoperimetric inequality trough a variational principle, establishing that balls maximize the perimeter among convex sets with fixed diameter. This principle brings also quantitative improvements to the isodiametric inequality, shown to be sharp by explicit nearly optimal sets.