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The Falling Cat
On the basis of the geometry, mechanics, and control studied in the previous chapters, the falling cat is modeled and analyzed to make the cat model...
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Geometry, Mechanics, and Control in Action for the Falling Cat
The falling cat is an interesting theme to pursue, in which geometry, mechanics, and control are in action together. As is well known, cats can...
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Biological Objects
Brains are adept at interacting with biological objects. How to characterise such objects? Following the geometric approach, every possible...
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Two New Roles in Norwich
During the 1990s the Physics part of the School of Mathematics and Physics was closed, primarily because of falling student intakes. The remaining...
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Chaos and Fractal-Based Information Hiding Techniques as Applied to Steganography
Exploiting chaos and fractals is a field of great interest and has attracted a lot of attention in the last decades as far as steganography and...
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Mixed Political Inferences
The relation between logic and ethics is discussed through the reflections proposed by Corcoran. Although the latter claimed the inseparability of...
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Geometric phases, Everett’s many-worlds interpretation of quantum mechanics, and wormholes
We present how the formalism of geometric phases in adiabatic quantum dynamics provides geometric realisations permitting to “embody” the Everett’s...
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Similarity Heuristics for Clustering Wells Based on Logging-Data
AbstractAccurate clustering of oil wells is important for lithological studies and hydrocarbon production processes. Traditional methods for solving...
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Where Are We Going With All This?
What are the implications of using geometric techniques for understanding the brain? After assessing the current limitations, the relationship with...
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The Nature of Mathematical Objects
A traditional question in the philosophy of mathematics is to give an answer to the question: What is the nature of mathematical objects? This...
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What Does a Concept Entail?
Conceptual entailment is the process through which a conclusion is drawn from one or several concepts. In its simplest form, it takes the form of an...
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Optimal Transport for Generative Models
Optimal transport plays a fundamental role in deep learning. Natural data sets have intrinsic patterns, which can be summarized as the manifold...
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From Vision to Perception: Chardin’s Eighteenth Century Cultural and Scientific Approach to Painting (and Soap Bubbles)
Among Chardin’s works, Soap Bubbles is one of the most iconic paintings. The subject of various studies and interpretations, this masterpiece can be...
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Thermocapillary instability in the presence of uniform normal electric field: effect of odd viscosity
The stability and dynamics of a gravity-driven, viscous, Newtonian, thin liquid film with broken time-reversal symmetry draining down a nonuniformly...
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Vibration isolation performance analysis of a bilateral supported bio-inspired anti-vibration control system
To achieve better anti-vibration performance in a low frequency region and expand the range of vibration isolation, a bilateral supported...
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Logic
The terms logic and mathematics are often paired in the historiography of the latter. But, as discussed in this book, logic is not a monolithic...
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Mechanical Control Systems
Let ϕ and A be the scalar potential and the vector potential of the electric field E and of the magnetic flux density B, respectively; E = −∇ ϕ,...
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From Local to Global
Individual sensory neurons can only signal measurements from a restricted region of space. To combine the individual descriptions of an object the...
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Identification of Clinical Variants Present in Skin Melanoma Using Exome Sequencing Data
Melanoma is one of the most vigorous and life threatening kind of skin cancer, accounting for millions of death per year. Understanding the process...
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