We initiate studies of patterns in words that appear as subwords (not necessarily factors) of
words. A pattern is a string of variables, and we say that a pattern appears in a word if each …

Ciliates have two different types of nuclei per cell, with one acting as a somatic, transcriptionally
active nucleus (macronucleus; abbr. MAC) and another serving as a germline nucleus (…

… L is such an operator; in particular, deg L(yn) ⩽ n+ 1 for all n ⩾ 0. Since L maps polynomials
to polynomials of degree at most one higher and G clearly has no constant term, G(x, y) = ∑ …

A double occurrence word (DOW) is a word in which every symbol appears exactly twice; two
DOWs are equivalent if one is a symbol-to-symbol image of the other. We consider the so …

This paper deals with the question of whether uncertainty regarding model structure, especially
in climate modeling, exhibits a kind of “chaos.” Do small changes in model structure, in …

… The rest of the thesis is the sole work of Lukas Nabergall. … for all 1 ⩽ i ⩽ k, and the gridded
subword of G induced by positions Lℓ is connected for all 1 ⩽ ℓ ⩽ m. Denote this set by G(T ). …

… We want to stress that L is not necessarily the naive “energydependence” of the amplitude:
a change in L, with all angles fixed, amounts to a scaling of all momenta and all masses by …

Patterns, sequences of variables, have traditionally only been studied when morphic images
of them appear as factors in words. In this thesis, we initiate a study of patterns in words that …

… The aim is to learn an l-layer neural network with hard-threshold activations … The
learning goal is to find weights W of f that minimize the training loss L(Hl,T) = ∑ m j=1 L(h …

In a series of recent papers, two of which appeared in this journal, a group of philosophers,
physicists, and climate scientists have argued that something they call the `hawkmoth effect' …