Sparsity Order Estimation from a Single Compressed Observation Vector

We investigate the problem of estimating the unknown degree of sparsity from compressive measurements without the need to carry out a sparse recovery step. While the sparsity order can be directly inferred from the effective rank of the observation matrix in the multiple snapshot case, this appears to be impossible in the more challenging single snapshot case. We show that specially designed measurement matrices allow to rearrange the measurement vector into a matrix such that its effective rank coincides with the effective sparsity order. In fact, we prove that matrices which are composed of a Khatri-Rao product of smaller matrices generate measurements that allow to infer the sparsity order. Moreover, if some samples are used more than once, one of the matrices needs to be Vandermonde. These structural constraints reduce the degrees of freedom in choosing the measurement matrix which may incur in a degradation in the achievable coherence. We thus also address suitable choices of the measurement matrices. In particular, we analyze Khatri-Rao and Vandermonde matrices in terms of their coherence and provide a new design for Vandermonde matrices that achieves a low coherence

Generalized Quantum Theory: Overview and Latest Developments

The main formal structures of Generalized Quantum Theory are summarized. Recent progress has sharpened some of the concepts, in particular the notion of an observable, the action of an observable on states (putting more emphasis on the role of proposition observables), and the concept of generalized entanglement. Furthermore, the active role of the observer in the structure of observables and the partitioning of systems is emphasized.Comment: 14 pages, update in reference

Milieux bibliques

Enseignement Cours – L’Arche d’alliance : mythes, histoires et histoire Introduction L’Arche d’alliance ou l’Arche de Yhwh fascine depuis les temps bibliques jusqu’à aujourd’hui. Dans ce cours, nous avons cherché à retracer l’origine et les premières réinterprétations théologiques de l’Arche. Cette enquête a débuté par un premier parcours sur l’ensemble des textes bibliques qui la mentionnent. Ces textes montrent que l’Arche a différentes appellations et différentes fonctions selon les milieu..

The Current Discussion on the so-called Deuteronomistic History: Literary Criticism and Theological Consequences

　This article deals with the current debate about the so-called“Deuteronomistic History” (DtrH). It presents the different positions inOld Testament scholarship and argues for a model that takes into accountas many observations as possible brought forward by the tenants ofdifferent positions. An analysis of Deut 12 shows that there is indeedevidence that one should distinguish in the dtr edition of the books fromDeuteronomy to Kings three main layers and eras: a first dtr edition in the7th century BCE, a second revision dealing with the problems of thedestruction of the Temple in Jerusalem during the 6th century and a lastrevision in the first half of the Persian period in a segregationistperspective. This threefold edition can also be detected in three differentconclusions of the DtrH. When Deuteronomy was cut off from thefollowing books in order to become the conclusion of the Pentateuch, itunderwent a redaction that emphasizes its function as the last book of theTorah

Vortical flow structures induced by red blood cells in capillaries

Objective Knowledge about the flow field of the plasma around the red blood cells in capillary flow is important for a physical understanding of blood flow and the transport of micro- and nanoparticles and molecules in the flowing plasma. We conducted an experimental study on the flow field around red blood cells in capillary flow that is complemented by simulations of vortical flow between red blood cells. Methods Red blood cells were injected in a 10 × 12 µm rectangular microchannel at a low hematocrit, and the flow field around one or two cells was captured by a high-speed camera that tracked 250 nm nanoparticles in the flow field, acting as tracers. Results While the flow field around a steady “croissant” shape is found to be similar to that of a rigid sphere, the flow field around a “slipper” shape exhibits a small vortex at the rear of the red blood cell. Even more pronounced are vortex-like structures observed in the central region between two neighboring croissants. Conclusions The rotation frequency of the vortices is to a good approximation, inversely proportional to the distance between the cells. Our experimental data are complemented by numerical simulations

Concentration Gradients of Ammonia, Methane, and Carbon Dioxide at the Outlet of a Naturally Ventilated Dairy Building

In natural ventilation system-enabled dairy buildings (NVDB), achieving accurate gas emission values is highly complicated. The external weather affects measurements of the gas concentration of pollutants () and volume flow rate (Q) due to the open-sided design. Previous research shows that increasing the number of sensors at the side opening is not cost-effective. However, accurate measurements can be achieved with fewer sensors if an optimal sampling position is identified. Therefore, this study attempted to calibrate the outlet of an NVDB for the direct emission measurement method. Our objective was to investigate the gradients, in particular, for ammonia (3), carbon dioxide (2), and methane (4) considering the wind speed (v) and their mixing ratios ([cCH4/cNH3]) at the outlet, and assess the effect of sampling height (H). The deviations in each at six vertical sampling points were recorded using a Fourier-transform infrared (FTIR) spectrometer. Additionally, wind direction and speed were recorded at the gable height (10 m) by an ultrasonic anemometer. The results indicated that, at varied heights, the average 3 (p < 0.001), 2 (p < 0.001), and (p < 0.001) were significantly different and mostly concentrated at the top (H = 2.7). Wind flow speed information revealed drastic deviations in , for example up to +105.1% higher 3 at the top (H = 2.7) compared to the baseline (H = 0.6), especially during low wind speed (v < 3 m s−1) events. Furthermore, [cCH4/cNH3] exhibited significant variation with height, demonstrating instability below 1.5 m, which aligns with the average height of a cow. In conclusion, the average 2, 4, and 3 measured at the barn’s outlet are spatially dispersed vertically which indicates a possibility of systematic error due to the sensor positioning effect. The outcomes of this study will be advantageous to locate a representative gas sampling position when measurements are limited to one constant height, for example using open-path lasers or low-cost devices

Assembly of custom TALE-type DNA binding domains by modular cloning

Transcription activator-like effector (TALE) DNA binding proteins show tremendous potential as molecular tools for targeted binding to any desired DNA sequence. Their DNA binding domain consists of tandem arranged repeats, and due to this repetitive structure it is challenging to generate designer TALEs (dTALEs) with user-defined specificity. We present a cloning approach that facilitates the assembly of multiple repeat-encoding DNA fragments that translate into dTALEs with pre-defined DNA binding specificity. This method makes use of type IIS restriction enzymes in two sequential cut-ligase reactions to build dTALE repeat arrays. We employed this modular approach for generation of a dTALE that differentiates between two highly similar DNA sequences that are both targeted by the Xanthomonas TALE, AvrBs3. These data show that this modular assembly system allows rapid generation of highly specific TALE-type DNA binding domains that target binding sites of predefined length and sequence. This approach enables the rapid and flexible production of dTALEs for gene regulation and genome editing in routine and high-throughput applications

LASER TEXTURING OF STEEL STRIP

The invention relates to a method and an arrangement for finishing a steel strip comprising the texturing of the steel strip wherein a texture is applied to the surface of a moving steel strip by means of a single laser beam or a plurality of laser beams directed at the surface of a moving steel strip, and wherein the single laser beam or the plurality of laser beams are position controlled to apply a predetermined texture pattern on the surface of the moving steel strip