The discriminant of a real simple singularity

In his 1859 paper[1], Riemann went further and extended the zeta function ζ(s), by analytical continuation, to an absolutely convergent function in the half plane ℜ (s) > 0, minus

In his 1859 paper[1], Riemann went further and extended the zeta function ζ(s), by analytical continuation, to an absolutely convergent function in the half plane ℜ(s) > 0, minus

This paper gives a simple proof of the Wirsching-Goodwin representation of integers connected to 1 in the 3x+1 problem (see [5] and [2]).. The 3x + 1 problem asks whether, starting

The paper is organized as follows. In Section 2, we prove the first generalization of the Khimshiashvili formula based on Szafraniec’s methods. In Section 3, we give the results on

We give a simple proof of the “tree-width duality theorem” of Seymour and Thomas that the tree-width of a finite graph is exactly one less than the largest order of its brambles..

In Albano-Cannarsa [1] the authors proved that, under some condi- tions, the singularities of the semiconcave viscosity solutions of the Hamilton- Jacobi equation propagate

For task 1 the inputs are input sequences of 100 time steps whereas for task 2, in order to understand how the memory was used in the Trained explicit memory architecture, the

Here, we study to what extent a group of randomly connected units can store and maintain (as output) an arbitrary real value from a streamed input, i.e.. how such system act as