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Principles of Differential Geometry
The present text is a collection of notes about differential geometry prepared to some extent as part of tutorials about topics and applications related to tensor calculus. They can be regarded as continuation to the previous notes on tensor calculus as they are based on the materials and conventions given in those documents.
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Metrics on End-Periodic Manifolds as Models for Dark Matter
In this paper we will detail an approach to generate metrics and matter models on end-periodic manifolds, which are used extensively in the study of the exotic smooth structures of R4.
Christopher L. Duston
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Differentiators and the geometry of polynomials
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A stepwise emergence of evolution in the RNA world
How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
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Nonlinear Observability Algorithms with Known and Unknown Inputs: Analysis and Implementation
The observability of a dynamical system is affected by the presence of external inputs, either known (such as control actions) or unknown (disturbances).
Nerea Martínez, Alejandro F. Villaverde
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The Theoretical Study of Kink Deformation in Graphite Based on Differential Geometric Method
Kink deformation is often observed in materials with laminated layers. Graphite composed of stacked graphene layers has the unique laminated structure of carbon nanomaterials.
Xiao-Wen Lei+2 more
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B cells sense external mechanical forces and convert them into biochemical signals through mechanotransduction. Understanding how malignant B cells respond to physical stimuli represents a groundbreaking area of research. This review examines the key mechano‐related molecules and pathways in B lymphocytes, highlights the most relevant techniques to ...
Marta Sampietro+2 more
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Heat Kernel Embeddings, Differential Geometry and Graph Structure
In this paper, we investigate the heat kernel embedding as a route to graph representation. The heat kernel of the graph encapsulates information concerning the distribution of path lengths and, hence, node affinities on the graph; and is found by ...
Hewayda ElGhawalby, Edwin R. Hancock
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Assessment and evaluation of damage in cultural heritage structures are conducted primarily using nondestructive and noncontact methods. One common deployment is laser scanners or ground-based lidar scanners that produce a point cloud containing ...
Richard L. Wood+1 more
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Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan+2 more
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