We use the theory of time-stamp schemes to implement an atomic 1-writer n-reader variable (register) from n 2 atomic 1-writer 1-reader variables, using bounded time-stamps. The number of time-stamps needed is (2n +2)2 , so this scheme uses O (n 2log n) control bits altogether. The construction is simple, transparant and optimal in worst-case number of control bits per subvariable. No other prev...

We prove the Shepp–Olkin conjecture, which states that the entropy of the sum of independent Bernoulli random variables is concave in the parameters of the individual random variables. Our proof is a refinement of an argument previously presented by the same authors, which resolved the conjecture in the monotonic case (where all the parameters are simultaneously increasing). In fact, we show th...

Technology helps optimize the learning process. PMRI-based e-modules can help students in online This study aimed to produce e-module teaching materials based on Indonesian realistic mathematics education for class VII social arithmetic that are valid, practical, and effective. The application used is Flip PDF Professional, which involves 63 research subjects at one of state middle schools Bany...

This paper presents a numerical matrix method based on Bernstein polynomials (BPs) for approximate the solution of a system of m-th order nonlinear Volterra integro-differential equations under initial conditions. The approach is based on operational matrices of BPs. Using the collocation points,this approach reduces the systems of Volterra integro-differential equations associated with the giv...