Equivariant Matlis and the local duality

Generalizing the known results on graded rings and modules, we formulate and prove the equivariant version of the local duality on schemes with a group action. We also prove an equivariant analogue of Matlis duality.Comment: 32pages, corrected a typ

Element Material Exposure Experiment by EFFU

The National Space Development Agency of Japan (NASDA) is planning to perform an 'Element Material Exposure Experiment' using the Exposed Facility Flyer Unit (EFFU). This paper presents an initial design of experiments proposed for this project by our company. The EFFU is installed on the Space Flyer Unit (SFU) as a partial model of the Space Station JEM exposed facility. The SFU is scheduled to be launched by H-2 rocket in January or February of 1994, then various tests will be performed for three months, on orbit of 500 km altitude, and it will be retrieved by the U.S. Space Shuttle and returned to the ground. The mission sequence is shown

Two Models for RHEED Specular Spot Intensity Recovery in Laser-triggered Chemical Beam Epitaxy GaP Growth

RHEED specular spot intensity (RSSI) has been observed while growing GaP by laser-triggered chemical beam epitaxy. The intensity decreases after each laser pulse, and then it recovers the original value. We present two models in order to explain the RSSI changes. The first model takes the chemisorption velocity of metalorganics as a limiting factor in RSSI recovery speed. On the other hand, the second model considers the reaction time of gallium with phosphorus as a limiting factor. The second model properly fits the experimental data and it allows a deeper understanding of chemical reactions on GaP surface during chemical beam epitaxial growth

Deep Ridgelet Transform: Voice with Koopman Operator Proves Universality of Formal Deep Networks

We identify hidden layers inside a deep neural network (DNN) with group actions on the data domain, and formulate a formal deep network as a dual voice transform with respect to the Koopman operator, a linear representation of the group action. Based on the group theoretic arguments, particularly by using Schur's lemma, we show a simple proof of the universality of DNNs.Comment: NeurReps 202

PROGNOSTIC IMPLICATIONS OF TYPE 2 MYOCARDIAL INFARCTION IN VASOSPASTIC ANGINA: A HIGH-RISK SUBGROUP

summary:The Golomb space ${\mathbb N}_\tau$ is the set ${\mathbb N}$ of positive integers endowed with the topology $\tau$ generated by the base consisting of arithmetic progressions $\{a+ bn: n\ge 0\}$ with coprime $a,b$. We prove that the Golomb space ${\mathbb N}_\tau$ has continuum many continuous self-maps, contains a countable disjoint family of infinite closed connected subsets, the set $\Pi$ of prime numbers is a dense metrizable subspace of ${\mathbb N}_\tau$, and each homeomorphism $h$ of ${\mathbb N}_\tau$ has the following properties: $h(1)=1$, $h(\Pi)=\Pi$, $\Pi_{h(x)}=h(\Pi_x)$, and $h(x^{{\mathbb N}})=h(x)^{\,\mathbb N}$ for all $x\in{\mathbb N}$. Here $x^{\mathbb N}:=\{x^n\colon n\in{\mathbb N}\}$ and $\Pi_x$ denotes the set of prime divisors of $x$

Response of Insulin Secretion to Small Amount of Meal on Low Carbohydrate Diet (LCD)

Diabetic nutritional therapy has been changing from Calorie Restriction (CR) to a Low Carbohydrate diet (LCD). Authors et al. have developed LCD medically and socially through the Japan LCD promotion association (JLCDPA), and proposed meal tolerance test (MTT) using LCD breakfast. For our research protocol, healthy subjects (n=8, M/F=4/4, BMI 20.5kg/m2) received 75g oral glucose tolerance test (OGTT) and MTT, and changes in blood glucose and immunoreactive insulin (IRI) were measured. LCD meal included energy 307kcal, protein 13.8g, fat 23.9g, and carbohydrate 5.7g. The results from 0-30 min in average showed: i) 75gOGTT; 87.3-124.6mg/dL, 4.9-41.4μU/mL, ii) LCD; 90.3-84.3mg/dL, 5.4-12.2μU/mL, respectively. Decreased glucose may be from enough ability to secrete insulin to a glucose stimulus. These results would become reference data for future diabetic research