Modelling spatial variability and uncertainty is a highly challenging subject in soiland geosciences. Regression kriging (RK) has several advantages; nevertheless it is not able to model the spatial uncertainty of the target variable. The main aim of this study is to present and test a sequential stochastic simulation approach based on regression kriging (SSSRK), which can be used to generate a...

The interest in MRI methods that are capable of non-invasively measuring the microvascular structure of tumors has grown steadily over the past years [1,2]. As shown in a previous work, we have developed an approach to joint blood volume and vessel size assessment via simultaneous R2 and R2* quantification pre and post injection of a super-paramagnetic blood pool agent [3]. Preclinical studies ...

Landslides are among the most damaging natural hazards in mountainous regions. In this study, landslide hazard zonation was conducted in the Baba Heydar Watershed using logistic statistical regression to determine landslide hazard areas. First, a landslide inventory map was prepared using aerial photograph interpretation and field surveys. Next, ten landslide conditioning factors including alti...

Paleobotanists have long built leaf climate models based on site mean of physiognomic characteristics woody dicotyledons species (WDS) for estimating past climate. To explore the potential order Ericales in paleoclimate, we developed two linear each climatic factor. One is WDS, and other both WDS characters (WDS-E). We found that, compared with models, WDS-E improved greatly annual precipitatio...

Coxeter groups arise in a wide variety of areas, so every mathematician should know some basic facts about them, including their connection to “Dynkin diagrams.” Proofs about these “groups generated by reflections” mainly use group theory, geometry, and combinatorics. This talk will briefly explain: what it means to say that G is a “group generated by reflections” (or, equivalently, that G is a...

We prove that the critical Wave Maps equation with target S2 and origin R2+1 admits energy class blow up solutions of the form u(t ,r ) =Q(λ(t )r )+ε(t ,r ) where Q : R2 → S2 is the ground state harmonic map and λ(t) = t−1−ν for any ν > 0. This extends the work [17], where such solutions were constructed under the assumption ν> 2 . Also in the later chapter, we give the necessary remarks and ke...

A map φ : K → R2 of a graph K is approximable by embeddings, if for each ε > 0 there is an ε-close to φ embedding f : K → R2. Analogous notions were studied in computer science under the names of cluster planarity and weak simplicity. In this survey we present criteria for approximability by embeddings (P. Minc, 1997, M. Skopenkov, 2003) and their algorithmic corollaries. We introduce the van K...

We give a new and simple proof for the computation of the oriented and the unoriented fold cobordism groups of Morse functions on surfaces. We also compute similar cobordism groups of Morse functions based on simple stable maps of 3–manifolds into the plane. Furthermore, we show that certain cohomology classes associated with the universal complexes of singular fibers give complete invariants f...

    Every year, hundreds of people all over the world lose their lives due to landslides. Landslide susceptibility map describes the likelihood or possibility of new landslides occurring in an area, and therefore helping to reduce future potential damages. The main purpose of this study is to provide landslide susceptibility map using logistic regression model at Latyan watershed, north Iran. I...

Dual specificity tyrosine-phosphorylation-regulated kinase-1A (DYRK1A) is an enzyme directly involved in Alzheimer's disease, since its increased expression leads to β-amyloidosis, Tau protein aggregation, and subsequent formation of neurofibrillary tangles. Hologram quantitative structure-activity relationship (HQSAR, 2D fragment-based) models were developed for a series of 6-arylquinazolin-4-...