Swift supports differentiable functions as part of the language. The @differentiable attribute appears in two locations in Swift syntax: as an annotation on function types and as an annotation on ...

Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...

Previous ID SR-14054 Radar None Original Reporter @porterchild Type Bug Status Resolved Resolution Invalid Additional Detail from JIRA Votes 0 Component/s Compiler Labels Bug, AutoDiff Assignee Non ...

2) The product of a differentiable function and a non-differentiable function is ALWAYS NOT differentiable.

De Finetti did not name this class of functions: the term “quasiconvex (quasiconcave) function” was given subsequently by Fenchel [2] . It is well-known that the above characterization is equivalent ...

Most non-autoregressive text-to-speech (TTS) models acquire target phoneme duration (target duration) from internal or external aligners. They transform the speech-phoneme alignment produced by the ...

In the space of continuous functions of a real variable, the set of nowhere differentiable functions has long been known to be topologically "generic". In this paper it is shown further that in a ...

Suppose that on the open interval \ (I\text {,}\) \ (f\) is a differentiable function that has an inverse function \ (f^ {-1}\) and \ (f' (x)\not= 0\text {.}\) Then \ (f^ {-1}\) is differentiable and ...