New sequence converging towards the Euler–Mascheroni constant

AN IMPROVEMENT OF THE CONVERGENCE SPEED OF THE SEQUENCE (γn)n≥1 CONVERGING TO EULER’S CONSTANT

There are a huge number of estimations for the convergence speed of the sequence γn = 1 + 1 2 + 1 3 + ... + 1 n − lnn. We refer here to the result of J. Franel (e.g. [3], p.523) and we give a stronger double inequality related to the sequence (γn)n≥1 . The Euler’s constant γ = 0, 577... is defined as the limit of the sequence γn = 1 + 1 2 + 1 3 + ...+ 1 n − lnn. (1) From the estimations 1 2n+ 1...

Converging towards the optimal path to extinction.

Extinction appears ubiquitously in many fields, including chemical reactions, population biology, evolution and epidemiology. Even though extinction as a random process is a rare event, its occurrence is observed in large finite populations. Extinction occurs when fluctuations owing to random transitions act as an effective force that drives one or more components or species to vanish. Although...

Converging towards what? Pragmatic and Semantic Competence

The paper tries to build a bridge between results in commonsense reasoning and inferential theories of meaning. We focus on the problem of communication and the contrast between two views of communication, the “expressive” view and the “convergence” view. According to the convergence view (and local holism which supports it) the meaning of a sentence is the set of inferences to which speakers c...

NBIC, THE CONVERGING TECHNOLOGIES

Towards computing the Grothendieck constant

The Grothendieck constant KG is the smallest constant such that for every d ∈ N and every matrix A = (aij),