A. For f , g ∈ ω let c∀f ,g be the minimal number of uniform g-splitting trees needed to cover the uniform f -splitting tree, i.e., for every branch ν of the f -tree, one of the g-trees contains ν. Let c∃f ,g be the dual notion: For every branch ν, one of the g-trees guesses ν(m) infinitely often. We show that it is consistent that c∃fǫ ,gǫ = c ∀ fǫ ,gǫ = κǫ for continuum many pairwise d...

The hermitian level of composition algebras with involution over a ring is studied. In particular, it is shown that the hermitian level of a composition algebra with standard involution over a semilocal ring, where two is invertible, is always a power of two when finite. Furthermore, any power of two can occur as the hermitian level of a composition algebra with nonstandard involution. Some bou...

Increasing research efforts have been recently devoted to the coupling of microfluidic chip-integrated ionization sources to mass spectrometry (MS). Considering the limitations of microfluidic chips coupled with MS such as liquid spreading, dead volume, and manufacturing troubles, this paper proposed a new three-dimensional (3D) flow focusing (FF)-based microfluidic ionizing source. This source...

The extraction of local tempo and beat information from audio recordings constitutes a challenging task, particularly for music that reveals significant tempo variations. Furthermore, the existence of various pulse levels such as measure, tactus, and tatum often makes the determination of absolute tempo problematic. In this paper, we present a robust mid-level representation that encodes local ...

Positional games are a well-studied class of combinatorial games. In their usual form, two players take turns to play moves in a set (‘the board’), and certain subsets are designated as ‘winning’: the first person to occupy such a set wins the game. For these games, it is well known that (with correct play) the game cannot be a second-player win. In the avoidance (or misère) form, the first per...

In this paper, we construct the binary linear codes C(SL(n, q)) associated with finite special linear groups SL(n, q), with both n,q powers of two. Then, via Pless power moment identity and utilizing our previous result on the explicit expression of the Gauss sum for SL(n, q), we obtain a recursive formula for the power moments of multi-dimensional Kloosterman sums in terms of the frequencies o...

Optimal codes that correct single errors and detect double errors within nibbles of power of two length are presented. For each n, a code of length n, with the largest possible dimension which corrects single errors and detects double adjacent errors is presented. The problem of constructing optimal codes, which correct single errors and detect double adjacent errors within nibbles of length 1 ...

Article history: Received 10 June 2013 Received in revised form 21 November 2013 Accepted 29 December 2013 Available online 7 January 2014

In a previous paper, we proposed a simple method for measuring the mode excitation ratio in a two-mode fiber (TMF). Here, we experimentally investigate the applicability of the proposed method and also propose an alternative formulation to reduce experimental error.