In the first one a structure of measured space is introduced and integration is studied; more importantly, it is shown by an example that a Lipschitzian parameterization may differ from a Lipschitzian submanifold. In the second one a Lipschitz Hodge Theory is presented on such manifolds. See ...
This definition of leadership is informed by the socioanalytic theory of personality, which fuses psychoanalytic theory and role theory with evolutionary theory. Throughout the history of our species, nearly every significant human achievement has relied on coordinated effort between members of a team a...
Here it is important to note that Heidegger was himself a committed teacher. Testimony of his students discussed in this chapter reveals that he was indeed a powerful influence鈥攂ut that his influence could be overwhelming.doi:10.1007/978-3-319-19806-4_5Steven Hodge...
What is addition in set theory? What is Hodge isomorphism? Which property is illustrated by the equation ax+ay=a(x+y)? If G is a group with the property that g=g^{-1} for all g \in G, then G is abelian? What is the Cayley-Hamilton theorem?
Category theory is a branch of mathematics that deals with the concept of categories, which are models or abstractions that can be used to 'create' objects or other mathematical structures. In computer science, category theory is primarily applied in compiler construction and in the design of ...
Charles Darwin's Theory Of Natural Selection Natural selection is one of the most significant methods in which evolution can occur in a population that was proposed by Charles Darwin, among other scientists, in the 1800s. The term summarizes the concept that heritable traits that are able to su...
This gauge has an elliptic variational formulation (Coulomb gauges are critical points of the functional ) and thus are expected to be “smaller” and “smoother” than many other gauges; this intuition can be borne out by standard elliptic theory (or Hodge theory, in the case of Maxwell’s...
这个Y (with Frobenius action)就是Fargues-Fontine curve的雏形(除掉B_dR,剩下B_e which is a PID,所以基本是trivial),而p-adic rational Hodge theory完全可以用curve上的sheaf theory来理解(就是为什么研究vector bundle),并且考虑adic space (R, R^+)我们其实还记住了integral的信息,integral Hodge也粗糙...
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Actually, this classic view has been revised, because a frank distinction between “first-hit” and “second-hit” is not easy to make, leading to the “multiple-hit theory”[12]. Recent studies have shown that, independently from fat accumulation in the liver, obesity systemically leads to ...