When \alpha =k is an integer, this agrees with the usual definition meaning that the sum of the smallest k eigenvalues of \mathring{R} is nonnegative. The \alpha -positivity of \mathring{R} is defined similarly. Moreover, we say \mathring{R} is \alpha -nonpositive (resp, \alpha ...
Active nematics are driven, non-equilibrium systems relevant to biological processes including tissue mechanics and morphogenesis, and to active metamaterials in general. We study the three-dimensional spontaneous flow transition of an active nematic in
Our analysis of follow-up samples underscores this: the scores show an intermediate level of stability five years apart, meaning they provide long-term risk prediction and can also track measurable change in risk in response to lifestyle changes or treatment. The observational nature of this ...
Candidates can loan money to their own campaign (meaning they can use campaign contributions to pay themselves back): Donald: $45 Million. Hillary: $0. Bernie: $0. Third, donations to federal campaigns fall into two categories: itemized and unitemized. Itemized donations are those that, in ...
Three-way decision (T-WD) theory is about thinking, problem solving, and computing in threes. Behavioral decision making (BDM) focuses on effective, cognitive, and social processes employed by humans for choosing the optimal object, of which prospect theory and regret theory are two widely used...
That would be a totally different meaning. So for the Bible to say “weaker” it must be deduced that the first vessel (the husband) is weak, the woman is simply weaker. I like submitting to my husband. Is there a decision that needs to be made? My husband and I discuss it, I ...
Show that every integer number can be represented in the form: n=a_k 3^k + a_{k 1} 3^{k 1} + \dots + a_1 3 + a_0 , where a_i \in \{ 1, 0, 1\} \text{ for } i=0, \dots, k . Convert 2578 V into ...
It also contains only rational entries, and in our experiments, these entries are 0 and 1 most of the time, meaning that the median produced by algorithm {\mathcal {A}} is actually genomic. For the few cases when this property does not hold, we introduce two heuristics in the next ...
Understandings of the three-dimensional social behaviors of freely moving large-size mammals are valuable for both agriculture and life science, yet challenging due to occlusions in close interactions. Although existing animal pose estimation methods cap
city has a distinct history and planning framework that, along with its land market, gives rise to idiosyncratic development patterns, enabling some basic insight into policy. As is apparent in Table1, the data are skewed toward the (2010) status quo, with the vast majority (meaning > ...