Let Φ be an irreducible root system (sometimes we denote Φ by Φ(X) to indicate its type X). Choose a simple root system Π in Φ. Let Φ + (resp. Φ~) be the corresponding positive (resp. negative) root system of Φ. By a subsystem Φ' of Φ (resp. of Φ + ) , we mean that Φ' is a subset of Φ (resp. of Φ) which itself forms a root system (resp. a positive root system). We refer the readers to Bourbaki'...

background: knowledge about root canal morphology and its frequent variations can exert considerable influence on the success of endodontic treatment. the aim of this study was to survey the root canal morphology of mandibular first premolar teeth in a gujarati population by decalcification and clearing technique.     methods: one hundred thirty eight extracted mandibular first premolar teeth w...

Root system development is an important agronomic trait. The right architecture in a given environment allows plants to survive periods of water of nutrient deficit, and compete effectively for resources. Root systems also provide an optimal system for studying developmental plasticity, a characteristic feature of plant growth. This review proposes a framework for describing the pathways regula...

In order to quantitatively analyze plant root growth and construct plant root growth model, a root system representation model based on tree-form data structure is proposed in this paper. After processing and analyzing root image, the information of root, such as length, diameter, number of child root, position of child root, angle of child root etc., is stored in a node of this treeform data s...

root colonization by antagonist bacteria has been considered as a prerequisite for a successful biocontrol. for an effective suppression of plant disease, an efficient and fast colonization is necessary to prevent the establishment of pathogen on the root system. colonization of canola root by strain utpf86 were investigated with and without rhizoctonia solani ag-4, under greenhouse conditions....

objective: diagnosis of vertical root fractures (vrfs) is critical in endodontics which most of the times occurs in endodontically treated teeth with root canal fillings such as gutta percha. despite cone beam computed tomography (cbct) has significantly enhanced image quality compared to digital radiography (dr) which aid the diagnosis, artifacts has remained as a problem in vrf detection . th...

This paper aims to develop a root morphological model in wheat (Triticum aestivum L.), and the realistic visualization of root growth under different soil conditions in wheat. Based on the topology of the wheat root system, historical literature and experimental data, a root morphological model in wheat was developed preliminarily using thermal time as a driving factor, including sub-models of ...

The Arabidopsis root system is frequently considered to have only three classes of root: primary, lateral, and adventitious. Research with other plant species has suggested up to eight different developmental/functional classes of root for a given plant root system. If Arabidopsis has only three classes of root, it may not be an adequate model for eudicot plant root systems. Recent research, ho...