The Foundations of Branching Space-Times

In this chapter the reader is guided through the construction of the core theory of Branching Space-Times. This discursive approach culminates in proposing a set of postulates that a structure of the core theory of Branching Space-Times (common BST) has to satisfy. The theory’s basic notion is that of a set of events, partially ordered by a pre-causal relation. Histories are then defined as maximal directed subsets of the base set. The chapter proves essential facts about histories and the postulates that the core of BST is assumed to satisfy. Among other things, it proves the so-called M-property that determines how any two point event in a common BST structure are related.

Spatio-temporal clustering methodologies for point-event natural hazards

<p>Natural hazards are inherently spatio-temporal processes. Spatio-temporal clustering methodologies applied to natural hazard data can help distinguish clustering patterns that would not only identify point-event dense regions and time periods, but also provide insight into the hazardous process. Here we review spatio-temporal clustering methodologies applicable to point event datasets representative of natural hazards and we evaluate their performance using both synthetic and real life data. We first present a systematic overview of major spatio-temporal clustering methodologies used in the literature, which include clustering procedures  that are (i) global (providing a single quantitative measure of the degree of clustering in the dataset) and (ii) local (i.e. assigning individual point events to a cluster). A total of seven methodologies from these two groups of clustering procedures are applied to real-world (lightning) and synthetic datasets. For (i) global procedures, we explore Knox, Mantel, Jacquez k-NN tests and spatio-temporal K-functions and for (ii) local procedures we consider spatio-temporal scan statistic, kernel density estimation and density-based clustering method OPTICS. The dataset of 7021 lightning strikes is from 1 and 2 July 2015 over the UK, when a severe three-storm system crossed the region with different convective modes producing each of the storms. The synthetic datasets are representative of various topologies of a point-event natural hazard data with a moving source. We introduce a two-source model with input parameters related to the physical properties of the source. Each source has a set number of points events, initiation point in space and time, movement speed, direction, inter-event time distribution and spatial spread distribution. In addition to a base model of two identical moving sources with a set temporal separation, we produce four different topologies of the data by incrementally varying the speed parameter of the source, spatial spread parameters, direction and initiation points, and angle of two sources. With these five synthetic datasets representative of various two-source models, we evaluate the performance of the methodologies. The performance is assessed based on the ability of each methodology to separate the point events produced by the two sources and the sensitivity of these results to changes in the model input parameters. We further discuss the benefits of combining global and local clustering procedures in the analyses as we gain an initial understanding of the spatial and temporal scales over which clustering is present in the data by using global clustering procedures. This information then helps to inform and limit the choice of input parameters for the local clustering procedures.</p>

Attempt on Magnification of the Mechanism of Enzyme Catalyzed Reaction through Bio-geometric Model for the Five Points Circle in the Triangular Form of Lineweaver-Burk Plot

The bio-geometrical model is dealing with correlation between the “five events for enzyme catalyzed reaction” and “triple point event serving groups on the circle” in triangle obtained for the graphical presentation of the double reciprocal for magnification of the mechanism of enzyme catalyzed reaction. This model is based on the nine point circle in triangle of the double reciprocal plot. The five significant points (B, D, E, F and G) resulted for the circle with x – and y – coordinates. The present attempt is considering interactions among enzymes and substrates for the successful release of product through each and every point on the circle in triangle. The controlling role of the point, “O”, center of circle in each and every event of the biochemical reaction is obligatory. The model is allotting specific role for the significant events in the biochemical reaction catalyzed by the enzymes. The enzymatic catalysis is supposed to be completed through five events, which may be named as, “Bio-geometrical events of enzyme catalyzed reaction”. These five events for enzyme catalyzed reaction include: (1) Initial event of enzymatic interaction with the substrates; (2) Event of the first transition state for the formation of “enzyme-substrate” complex; (3) Event of the second transition state for the formation of “enzyme-product” complex; (4) Event of release of the product and relieve enzyme and (5) The event of directing the enzyme to continue the reaction. The model utilizes the “triple point serving group on the circle” for the success of each and every event in the biochemical reaction. Thus, there is involvement of the three points including the point “O” for each event in the enzyme catalyzed reaction. The group of points serving for carrying out the event may be classified into five conic sections like: B-O-E; E-O-G; G-O-D; D-O-F and F-O-B. The bio-geometrical model is correlation between the “five events for enzyme catalyzed reaction” and “triple point event serving groups on the circle” in a triangle of the double reciprocal plot.

Revitalisasi Ritual Sampang Sandro Sebagai Daya Tarik Wisata

This study discusses about Gili Indah village which has a sampang sandro ritual. lately this ritual is almost extinct because the activity as a salt farmer did not ensure in society's economy, so they switch to other professions. Those switching profession indirectly causes the loss of unique ritual of that. Local government are trying to revitalize sampang sandro ritual to used as an alternative tourist attraction. Based on the background study above, this study focus on (1) How are the revitalization of sampang sandro ritual in Gili Indah village? (2) How the implication of revitalization of sampang sandro ritual for society in Gili Indah village?. Furthermore, the method of data collection in this study are observation, interview, and documentation method. The data were analysed in qualitative with functionalism and the change of social theories. The results of this study were showed that sampang sandro ritual was done in festival ritual of sampang sandro. First step is competition of gangsing (mangkeq), kasti ball, pantok cret, dayung kano, and photography. Sampang Sandro is point event with some procession such pray, chicken release, take salt in the swamp, lunch together then cleaning up. The implication of revitalization of sampang sandro ritual are the maintenance of local tradition and preservation of social solidarity. Then, the implication in ecology field is preservation of ecosystem sustainability. The implication in economy field is the increased of treasury village, and implication tourism field is the increased of tourist attractions in Gili Indah village.

P841Derivation and validation of novel score system for predicting all-cause death and myocardial infarction in coronary artery ectasia

Background Coronary artery ectasia (CAE) bears high risk of death and myocardial infarction. Risk stratification in CAE patients is crucial for their management, but there were no risk score systems intended for risk evaluation of CAE patients so far. Methods In a retrospective cohort of 595 patients with CAE, we collected the baseline characteristics (clinical history, biomarkers and quantitative coronary angiography variables). Follow-up were conducted and the end-point event was the composite of all-cause death and non-fatal myocardial infarction. The candidate predictors of end-point event were analyzed using Cox proportional hazards regression models to derive a risk score in the form of nomogram. The predictive performance and discriminative ability of the novel nomogram were determined by concordance index (C-index) and calibration curve, that were validated internally. Risk stratification by nomogram-predicted risk score was further evaluated. Results During a median follow-up time of 62.3 months, 26 all-cause deaths and 37 non-fatal myocardial infarctions were identified. The final risk-prediction model named ABCD-CAE score included four items: age (A), Brain natriuretic peptide (B), high sensitivity C-reactive protein (C) and maximum Dilated area of ectatic lesions (D). The nomogram yielded a C-index for end-point event of 0.72 (95% confidence interval, 0.64 - 0.79). The calibration curve demonstrated that there is good agreement between prediction by nomogram and actual observation of end-point events. Compared with the low-risk group (score ≤100), the risk of composite events was significantly increased in the intermediate-risk group (score: 100–130) and high-risk group (score >130) [hazard ratio (95% confidence interval): 2.23 (1.23–4.06), P=0.008 and 7.02 (3.81–12.97), P<0.001 respectively]. ABCD-CAE nomogram for risk prediction Conclusions The ABCD-CAE score is a simple four-item risk score, that provides a clinically useful tool for the risk prediction of all-cause death and myocardial infarction in patients with CAE. This user-friendly tool might support clinical decision making for the management of CAE.