… a chain rule for abelian functor calculus – … chain complexes and simplicial objects in abelian
categories. During the first half of our RIT program, we constructed a candidate for this chain …

… To transfer this idea to the calculus of functors, we need to be … ” of infinite loop spaces or
spectra, and each chain complex can … on a chain rule philosophy for the calculus of functors. We …

… defining a functor from multiplicative PROPs to chain complexes instead. This functor recovers
… Non-commutative calculus: The calculus of differential forms and multivector fields can be …

… we will consider as functions of Lı and Et. For an element ' 2 … to the skeletal filtration of a
simplicial complex. When using the … We say fiber(s) because in our application we study unbased …

… We also prove a chain rule in this setting and indicate ways … definitions of the homotopy
calculus of functors. In [Goo03], … to point out that for C unbased, we can recover the initial object …

… For example, it is possible to premise the differential calculus to the linear algebra by
anticipating the chapters from 17 to 22 before chapter 11. The presentation is accompanied by a …

… Each of these theories is actually a functor from a suitable … properties as a justification
for the next PROP in the chain. … -unbiased points are not disjoint in the ZX-calculus. We will …

… calculus of Joyal’s analytic functors to analytic functors between presheaf categories, just as
ordinary calculus … a new theory, unavoidably more subtle and complex than the existing one, …

… and exotic convergence of the Taylor tower of the identity functor, for … functor calculus, being
centered away from the null object amounts to doing homotopy theory and functor calculus …

… On the other hand, if we allow β to be complex, the task of approximating Z with a constant …
often employed in Markov Chain Monte Carlo methods for estimating partition functions (see, …