Goldreich suggested candidates of one-way functions and pseudorandom generators included in NC. It is known that randomly generated Goldreich’s generator using (r−1)-wise independent predicates with n input variables and m = Cn output variables is not pseudorandom generator with high probability for sufficiently large constant C. Most of the previous works assume that the alphabet is binary and...

Let Λ be an iterated tilted algebra. We will construct an Auslander generator M in order to show that the representation dimension of Λ is three in case Λ is representation infinite. Recently there has been a lot of attention to compute the representation dimension of a finite dimensional algebra Λ, a notion introduced by Auslander in [A] in an attempt to measure the complexity of the represent...

Starting with a symmetric Markov diffusion process X (with symmetry measure m and L(m) infinitesimal generator A) and a suitable core C for the Dirichlet form of X, we describe a class of derivations defined on C. Associated with each such derivation B is a drift transformation of X, obtained through Girsanov’s theorem. The transformed process X is typically non-symmetric, but we are able to sh...

Abstract—Designing good error correcting codes whose generator matrix has a support constraint, i.e., one for which only certain entries of the generator matrix are allowed to be nonzero, has found many recent applications, including in distributed coding and storage, multiple access networks, and weakly secure data exchange. The dual problem, where the parity check matrix has a support constra...

The first Pontryagin class of the universal vector bundle over BSpin being twice the generator of H(BSpin) = Z, that generator is usually called p1 2 . The space BString is the fiber of the map p1 2 : BSpin → K(Z, 4). It was previously called BO〈8〉; its current optimistic name is due to connections with string theory. The group π2n(MO〈8〉) is the bordism group of string manifolds of dimension 2n...

The first Pontryagin class of the universal vector bundle over BSpin being twice the generator of H(BSpin) = Z, that generator is usually called p1 2 . The space BString is the fiber of the map p1 2 : BSpin → K(Z, 4). It was previously called BO〈8〉 and its current optimistic name is due to connections with string theory. The group π2n(MO〈8〉) is the bordism group of string manifolds of dimension...

Semakin menipisnya potensi energi tak terbarukan dan bahaya akan pemanasan global mengakibatkan harus ada upaya untuk memperoleh baru yang ramah lingkungan salah satunya adalah dengan memanfaatkan kecepatan angin. Potensi belum banyak dimanfaatkan di Indonesia yaitu angin rendah 2 m/s hingga 6 m/s. Oleh karena itu diperlukan suatu cara agar dapat tersebut. Dari latar belakang permasalahan maka ...

A New Static Var Generator (SVG), using cascaded full-bridge inverters (FBI) with binary output levels and the parallel connections of two cascaded inverters by means of current sharing reactor in each phases is introduced. The new M-level inverter, where M is 2n+2 - 3, consists of only 2n single-phase full bridges for each phases. The proposed technique not only increases the current capacity ...

The notion of a formally smooth bimodule is introduced and its basic properties are analyzed. In particular it is proven that a B-A bimodule M which is a generator left B-module is formally smooth if and only if the M-Hochschild dimension of B is at most one. It is also shown that modules M which are generators in the category σ[M ] of M-subgenerated modules provide natural examples of formally...