Aiming at the inverse source problem of an elastic wave, a dual-driver solver is considered to reconstruct point sources. In this way, number, location, and magnitude sources can be reconstructed from far-field measurement data. The composed data-driven module physical-driven module, which coupled by loss. loss are both driving force evolution. takes data as input, output. It trained Adam algor...

Ladders were introduced by Igusa and Todorov for the investigation of representation-finite artinian algebras and algebras over an algebraically closed field [7]. They prove a radical layers theorem [7] which exhibits the graded structure of Auslander-Reiten sequences. In a second article [8] they obtain a characterization of the Auslander-Reiten quivers of representation-finite artinian algebr...

Abstract: The analysis of the effect of the parasitic capacitors of the split capacitor array on the successive approximation register analog-to-digital converter’s charachteristics is presented. The Verilog-A model of the split capacitor array is developed based on the analysis. The model takes the effects of parasitic capacitors into account, and the values of these parasitic capacitors can b...

This paper deals with the automatic assignment of players’ identities in images of sport scenes. The task to correctly assign a player id to one unique player over many frames remains a challenging task as the players usually wear nearly identical jerseys and therefore generate visually similar appearances. If low image resolutions prohibit a direct jersey number recognition, tiny visual differ...

The subject of this internship was to add a static-analysis module to the score-following system Antescofo. The aim of this static-analysis module is to forecast the temporal behavior of the system during live performances, providing a substantial help to both composers and interprets. We follow an approach similar to the Inverse Method implemented by Etienne André in the tool IMITATOR. This me...

We consider a Q-polynomial distance-regular graph Γ with vertex set X and diameter D ≥ 3. For μ, ν ∈ {↓, ↑} we define a direct sum decomposition of the standard module V = CX, called the (μ, ν)–split decomposition. For this decomposition we compute the complex conjugate and transpose of the associated primitive idempotents. Now fix b, β ∈ C such that b 6= 1 and assume Γ has classical parameters...

In this article, we consider the inverse Galois problem for parameterized differential equations over k((t))(x) with k any field of characteristic zero and use the method of patching over fields due to Harbater and Hartmann. As an application, we prove that every connected semisimple k((t))-split linear algebraic group is a parameterized Galois group over k((t))(x). 2010 Mathematics Subject Cla...

This paper presents a novel two-dimensional split-vector-radix fast-Fourier-transform (2D svr-FFT) algorithm. The modularizing feature of the 2D svr-FFT structure enables us to explore its characteristics by identifying the local structural property. Each local module is designated as a DFT (non-DFT) block if its output corresponds to DFT (non-DFT) values. The block attribute (DFT or non-DFT) d...

A major problem in artificial brain building is the automatic construction and training of multi-module systems of neural networks. For example, consider a biological human brain, which has millions of neural nets. If an artificial brain is to have similar complexity, it is unrealistic to require that the training data set for each neural net must be specified explicitly by a human, or that int...

Grothendieck [7] showed that finite dimensional vector bundles over the projective line split into direct sums of line bundles (see also Andersen [1]). We begin this paper, after two preliminary sections, by proving this result (Theorem (3.5)) for induced bundles using representation theoretic techniques. The proof yields partial results in the infinite dimensional case and leads to the definit...