Constructivism is a major intellectual influence on the development of modern learning technology. This paper first reviews the main tenets of the constructivist approach. The application of constructivism to the Information and Computing Sciences (ICS) is then critically discussed. It is argued that constructivism provides a set of ideas that should have a deeper and more widespread impact on ...

Montgomery’s algorithm [8], hereafter denoted Mn(·, ·), is a process for computing Mn(A,B) = ABN mod n where N is a constant factor depending only on n. Usually, AB mod n is obtained by Mn(Mn(A,B), N −2 mod n) but in this article, we introduce an alternative approach consisting in pre-integrating N into cryptographic keys so that a single Mn(·, ·) will replace directly each modular multiplicati...

Abstract The differential-geometric structure of the manifold smooth shapes is applied to theory shape optimization problems. In particular, a Riemannian gradient with respect first Sobolev metric and Steklov–Poincaré are defined. Moreover, covariant derivative associated deduced in this paper. explicit expression leads definition Hessian metric. paper, we give brief overview various techniques...