Results 41 to 50 of about 6,390 (190)
Simple groups of Morley rank 5 are bad
By exploiting the geometry of involutions in $N_\circ^\circ$-groups of finite Morley rank, we show that any simple group of Morley rank $5$ is a bad group all of whose proper definable connected subgroups are nilpotent of rank at most $2$.
Deloro, Adrien, Wiscons, Joshua
core +1 more source
The legacy of the Cartwright–Littlewood collaboration
Abstract Mary L. Cartwright and John E. Littlewood published a short “preliminary survey” in 1945 describing results of their investigation of the forced van der Pol equation ÿ−k(1−y2)ẏ+y=bλkcos(λt+a)$$\begin{equation*} \ddot{y}-k(1-y^2)\dot{y}+y = b \lambda k \cos (\lambda t+a) \end{equation*}$$in which b,λ,k,a$b,\lambda,k,a$ are parameters with k$k$
John Guckenheimer
wiley +1 more source
On the canonical base property
We give an example of a finite rank, in fact aleph-1 categorical theory where the CBP (canonical base property) does not hold. We include a "group-like" example.
Hrushovski, Ehud +2 more
core +2 more sources
Theories without the tree property of the second kind [PDF]
We initiate a systematic study of the class of theories without the tree property of the second kind - NTP2. Most importantly, we show: the burden is "sub-multiplicative" in arbitrary theories (in particular, if a theory has TP2 then there is a formula ...
Chernikov, Artem
core +3 more sources
ABSTRACT Shifting from conventional to sustainable agriculture demands well‐designed experiments and robust analytical models to evaluate agroecological system performance and resilience. We modelled aphid population dynamics in broccoli monocultures and broccoli‐basil intercrops using spatio‐temporal approaches, informed by laboratory experiments on ...
Rayana M. R. Carvalho +3 more
wiley +1 more source
Some Definability Results in Abstract Kummer Theory
Let $S$ be a semiabelian variety over an algebraically closed field, and let $X$ be an irreducible subvariety not contained in a coset of a proper algebraic subgroup of $S$.
Baudisch +33 more
core +1 more source
ABSTRACT Aim The historical origins of biota in the Sunda Shelf region of Southeast Asia represent a long‐standing contentious issue in evolutionary biology. However, there is still no general agreement on the key factors driving the region's high species diversity and endemism in both plants and animals. Here, we inferred the evolutionary history of a
Katharina Schweickl +5 more
wiley +1 more source
Abstract Extensional tectonic settings may undergo time‐dependent kinematic changes, causing a multiphase evolution of the resulting fault networks. Yet, the spatial and temporal evolution of fault networks during triaxial and biaxial strain remains underexplored.
Jun Liu +5 more
wiley +1 more source
Solvable groups of finite Morley rank
This paper is an important contribution toward Cherlin's conjecture. This conjecture states that a simple group of finite Morley rank is an algebraic group over an algebraically closed field. In fact, there are many results proving that the groups of finite Morley rank look very much like algebraic groups over an algebraically closed field, and the ...
openaire +1 more source
Indiscernibles in monadically NIP theories
Abstract We prove various results around indiscernibles in monadically NIP theories. First, we provide several characterizations of monadic NIP in terms of indiscernibles, mirroring previous characterizations in terms of the behavior of finite satisfiability. Second, we study (monadic) distality in hereditary classes and complete theories.
Samuel Braunfeld, Michael C. Laskowski
wiley +1 more source

