Chaos tool implementation for non-singer and singer voice comparison (preliminary study)

Singer Identification in Popular Music Recordings Using Voice Coding Features Singer Identification in Popular Music Recordings Using Voice Coding Features

In most popular music, the vocals sung by the lead singer are the focal point of the song. The unique qualities of a singer’s voice make it relatively easy for us to identify a song as belonging to that particular artist. With little training, if one i s familiar with a particular singer’s voice one can usually recognize that voice in other pieces, even when hearing a song for the first time. T...

Wolf Singer

Nilpotent Singer Groups

Let N be a nilpotent group normal in a group G. Suppose that G acts transitively upon the points of a finite non-Desarguesian projective plane P. We prove that, if P has square order, then N must act semi-regularly on P. In addition we prove that if a finite non-Desarguesian projective plane P admits more than one nilpotent group which is regular on the points of P then P has non-square order a...

The Kadison-Singer Conjecture

We are given a large integer N , and a fixed basis {ei : 1 ≤ i ≤ N} for the space H = C . We are also given an N -by-N matrix H that has all its diagonal entries zero, and has norm one. If σ ⊆ {1, 2, . . . , N}, let Pσ be the projection onto the space Hσ := ∨{ei : i ∈ σ}. Call such a projection basic, and the range of a basic projection a basic subspace. For each constant 0 < γ < 1, we want to ...

- Patodi - Singer Index Theorem ∗

In [Wu], the noncommutative Atiyah-Patodi-Singer index theorem was proved. In this paper, we extend this theorem to the equivariant case.