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Root and Root Canal Morphology Classification Systems [PDF]
International Journal of Dentistry, 2021 Introduction. While there are many root morphology classification systems with their own distinct advantages, there are many shortcomings that come along with each system. Objectives.
Mohmed Isaqali Karobari +6 more
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Frontiers in Plant Science, 2014 The understanding of biological complexity has been greatly facilitated by cross-disciplinary, holistic approaches that allow insights into the function and regulation of biological processes that cannot be captured by dissecting them into their individual components. In addition, the development of novel tools has dramatically increased our ability to
Wolfgang eSchmidt
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Spatio-Temporal Variation in Water Uptake in Seminal and Nodal Root Systems of Barley Plants Grown in Soil [PDF]
Frontiers in Plant Science, 2020 The spatial and temporal dynamics of root water uptake in nodal and seminal roots are poorly understood, especially in relation to root system development and aging.
Hannah M. Schneider +6 more
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Embeddings of root systems II: Permutation root systems
Journal of Algebra, 2009 In part I [\textit{M. J. Dyer}, J. Algebra 321, No. 11, 3226-3248 (2009; Zbl 1181.20036)] the author studied the embeddings of linear root systems over commutative rings. The present paper studies a class of embeddings of permutation root systems, with properties abstracting those of examples in part I.
exaly +2 more sources
A Divided Difference Operator [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We construct a divided difference operator using GKM theory. This generalizes the classical divided difference operator for the cohomology of the complete flag variety.
Nicholas Teff
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On a chain of reproducing kernel Cartan subalgebras
Moroccan Journal of Pure and Applied Analysis, 2021 Let 𝔤 be a semisimple Lie algebra, j a Cartan subalgebra of 𝔤, j*, the dual of j, jv the bidual of j and B(., .) the restriction to j of the Killing form of 𝔤.
Kraidi Anoh Yannick, Kangni Kinvi
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On root posets for noncrystallographic root systems [PDF]
Mathematics of Computation, 2014 We discuss properties of root posets for finite crystallographic root systems, and show that these properties uniquely determine root posets for the noncrystallographic dihedral types and type H
Michael Cuntz, Christian Stump
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Optimizing Crop Water Use for Drought and Climate Change Adaptation Requires a Multi-Scale Approach
Frontiers in Plant Science, 2022 Selection criteria that co-optimize water use efficiency and yield are needed to promote plant productivity in increasingly challenging and variable drought scenarios, particularly dryland cereals in the semi-arid tropics. Optimizing water use efficiency
James D. Burridge +7 more
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High-Throughput in situ Root Image Segmentation Based on the Improved DeepLabv3+ Method
Frontiers in Plant Science, 2020 The Rhizotrons method is an important means of detecting dynamic growth and development phenotypes of plant roots. However, the segmentation of root images is a critical obstacle restricting further development of this method.
Chen Shen +5 more
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The arithmetic Tutte polynomials of the classical root systems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Many combinatorial and topological invariants of a hyperplane arrangement can be computed in terms of its Tutte polynomial. Similarly, many invariants of a hypertoric arrangement can be computed in terms of its arithmetic Tutte polynomial. We compute the
Federico Ardila +2 more
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