Groth (A Short Course on Infinity-Categories), Riehl and Verity (Elements of Infinity-Category Theory, alternate), Cisinski (Higher Categories and Homotopical Algebra, alternate, errata), or Land (Introduction to Infinity-Categories).
Additionally, it is an interesting application of the theory of infinity categories. In this paper, we give an expository account of differential cohomology and the classification of higher line bundles (also known as S 1 -banded gerbes) with a connection.We begin with how ec...
The reference point for the potential energy for this problem can be conveniently chosen to be at infinity where r=∞ and the force is equal to zero. Using Eq. (I.1), the potential energy of the particle with charge q at a distance r from the charge Q can be writtenV(r)=−Qq4...
Now, we can do this both ways, i.e., we can also convert our training data’s (unknown) distribution into another distribution. And to put the cherry on top, both (data to noise and noise to data) can be modeled using the same functional form. This is exactly what’s done in diff...
All depends on an infinity of other factors and contingencies. The ability to recognize patterns of interacting contingencies and motion and interpret them diagnostically, and the ability to synchronize oneself with homeodynamic forces, play a decisive role in successful therapeutic work. Technical ...
to find a connecting principle that allows us to make sense of them as a unit. The above list makes this difficult because its items come from such a broad range of categories. However, once we can find a common heading to sort things by, their relation becomes immediately apparent, no ...
MTA provides the ability to create powerful and complex rules. You can expand upon the core set of rules provided by MTA and create rules to identify additional issues that are important for your migration project. You can also override core rules and create cu...
Control4, Control4 logo and InfinityEge are registered trademarks or trademarks of Control4 Corporation in the United States and/or other countries. All other brands or names may be claimed as property by their respective owners. Pricing and specifications subject to change without notice. No part ...
Thus, it would be more accurate to say that we treat types as \emph{$\infty$-groupoids}\index{.infinity-groupoid@$\infty$-groupoid}; this is a name for the ``invariant objects'' of homotopy theory which can be presented by topological spaces, \index{topological!space}% simplicial sets...
Infinity, because—as we will elaborate on throughout this chapter—matter is constantly changing and offers a wide range of possibilities. It has always existed and it will always exist, which leads us to the concept of entropy. Entropy refers to a measure of disorder within a system, which...