although mohaghegh khorasani has raised the impossibility of replacement of certitude as to subject by authorized conjectural proof (amara) due to the impediment of conjunction in consideration; sheikh ansari, while rejecting the replacement of certitude as to attribute, has accepted the replacement of declaratory certitude. some islamic scholars believe in classification, according to the basi...

Proof is considered a foundational topic in mathematics. Yet, it is often difficult to teach. In this paper, I suggest that different forms of proof are appropriate in different contexts, dependent on the particular forms of representation available to the individual, and that these forms become available at different stages of cognitive development. For a young child, proof may be by way of a ...

background:  ramsar, a northern city in iran, lies on the coast of the caspian sea. this city has areas with some of the highest levels of natural radiation measured to date. the radon concentration in some areas of ramsar is up to 3700 bq m–3. on the other hand, due to high level of humidity, damp-proof barriers should be used in construction of new buildings in radon prone areas of this city....

‎Our aim in this very short note is to show that the proof of the‎ ‎following well-known fundamental lemma of Zariski follows from an‎ ‎argument similar to the proof of the fact that the rational field‎ ‎$mathbb{Q}$ is not a finitely generated $mathbb{Z}$-algebra.

In this paper, we give a new and direct proof for the recently proved conjecture raised in Soltani and Roozegar (2012). The conjecture can be proved in a few lines via the integral representation of the Gauss-hypergeometric function unlike the long proof in Roozegar and Soltani (2013).