Singular Derived Categories of Q-factorial terminalizations and Maximal Modification Algebras

Let X be a Gorenstein normal 3-fold satisfying (ELF) with local rings which are at worst isolated hypersurface (e.g. terminal) singularities. By using the singular derived category D_{sg}(X) and its idempotent completion, we give necessary and sufficient categorical conditions for X to be Q-factorial and complete locally Q-factorial respectively. We then relate this information to maximal modification algebras(=MMAs), introduced in [IW10], by showing that if an algebra A is derived equivalent to X as above, then X is Q-factorial if and only if A is an MMA. Thus all rings derived equivalent to Q-factorial terminalizations in dimension three are MMAs. As an application, we extend some of the algebraic results in Burban-Iyama-Keller-Reiten [BIKR] and Dao-Huneke [DH] using geometric arguments.Comment: Very minor changes, 24 page

CAVE 3D: Software Extensions for Scientific Visualization of Large-scale Models

AbstractNumerical analysis of large-scale and multidisciplinary problems on high-performance computer systems is one of the main computational challenges of the 21st century. The amount of data processed in complex systems analyses approaches peta- and exascale. The technical possibility for real-time visualization, post-processing and analysis of large-scale models is extremely important for carrying out comprehensive numerical studies. Powerful visualization is going to play an important role in the future of large-scale models. In this paper, we describe several software extensions aimed to improve visualization performance for large-scale models and developed by our team for 3D virtual environment systems such as CAVEs and Powerwalls. These extensions include an algorithm for real-time generation of isosurfaces on large meshes and a visualization system designed for massively parallel computing environment. Besides, we describe an augmented reality system developed by the part of our team in Stuttgart

Ensuring the rational temperature conditions for concrete hardening

One of the important aspects of the production technology of monolithic reinforced concrete is to ensure the rational temperature hardening of concrete that can provide high-quality concrete with a minimum duration of heat treatment and minimize energy costs. The article contains ways to solve the problem of ensuring a rational temperature setting of hardening. The task requires the development of a general method for calculating the temperature field of concrete in a hardening reinforced concrete structure. The proposed method of calculating considers a mathematical model of the temperature field in a hardening concrete structure of any shape with different conditions on the heat exchange surfaces and can be applied in various ways of heat treatment of concrete. For solving the equations of thermal conductivity and kinetics of heat release of concrete, the initial and boundary conditions must be specified. Moreover, the influence of reinforcing and simulation of heat distribution in the frozen basis is studied

Long‐Term Evaluation of Biotronik Linox and Linoxsmart Implantable Cardioverter Defibrillator Leads

Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/137409/1/jce12971_am.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/137409/2/jce12971.pd

Alterations in the Chromatin Environment Following the Introduction of DNA Breaks

The presence of DNA breaks has extensive biochemical implications for the integrity of the genome. It is well established that distinct DNA damage response proteins are recruited to, and accumulate at, sites of genomic lesions, including kinases that initiate multiple DNA damage signaling cascades. The repair of DNA breaks is facilitated by the phosphorylation of H2AX, which organizes DNA damage response factors in the vicinity of the lesion. Metabolism of the DNA breaks occurs in a chromatin environment and modulating chromatin structure is necessary for the fidelity of the DNA damage response. We set out to determine in living cells both how chromatin is remodeled in the presence of DNA breaks and whether the establishment of large sub-cellular DNA damage response domains influences other DNA metabolic processes, such as transcription. Using a photoactivatable histone H2B, we examined the mobility and structure of chromatin immediately after the introduction of DNA breaks. We find that chromatin-containing damaged DNA exhibits limited mobility but undergoes an initial energy-dependent local expansion that occurs independently of H2AX and ATM. We also took advantage of the large copy number, tandem gene arrangement, and spatial organization of ribosomal transcription units as a model system to measure the kinetics of transcription in real time in the presence of DNA breaks. We find that RNA polI inhibition is not the direct result of the physical DNA break but mediated by ATM kinase activity and surrogate DNA repair proteins. We propose that the localized opening of chromatin at DNA breaks establishes an accessible biochemically unique sub-nuclear environment that facilitates DNA damage signaling and repair

Anomalous Momentum States, Non-Specular Reflections, and Negative Refraction of Phase-Locked, Second Harmonic Pulses

We simulate and discuss novel spatio-temporal propagation effects that relate specifically to pulsed, phase-mismatched second harmonic generation in a negative index material having finite length. Using a generic Drude model for the dielectric permittivity and magnetic permeability, the fundamental and second harmonic frequencies are tuned so that the respective indices of refraction are negative for the pump and positive for the second harmonic signal. A phase-locking mechanism causes part of the second harmonic signal generated at the entry surface to become trapped and dragged along by the pump and to refract negatively, even though the index of refraction at the second harmonic frequency is positive. These circumstances culminate in the creation of an anomalous state consisting of a forward-moving second harmonic wave packet that has negative wave vector and momentum density, which in turn leads to non-specular reflections at intervening material interfaces. The forward-generated second harmonic signal trapped under the pump pulse propagates forward, but has all the attributes of a reflected pulse, similar to its twin counterpart generated at the surface and freely propagating backward away from the interface. This describes a new state of negative refraction, associated with nonlinear frequency conversion and parametric processes, whereby a beam generated at the interface can refract negatively even though the index of refraction at that wavelength is positive