Autarky - Wikipedia
towards becoming less self-sufficient and more interconnected. The late Bronze Age, for example, saw formerly self-sufficient palace economies rely more
Sufficient conditions for forward invariance and contractivity in hybrid inclusions using…
This paper studies set invariance and contractivity in hybrid systems modeled by hybrid inclusions using barrier functions. After introducing the notion of a multiple barrier functions, we investigate the tightest possible sufficient conditions to gu...
Sufficient statistic - Wikipedia
a sample dataset in relation to a parametric model of the dataset. A sufficient statistic for a model parameter contains all of the information that the
Scaling Up - Sufficient Velocity
Aug 31, 2019 · Alan's found sufficient evidence at home that pretty much means Emma is going to be tried as an adult. The official charges are second-degree Attempted Homicide, Grand Theft, …
emshack/sufficient_goldfish
explorations with Flutter (⭐ 106)
Serre's Property (FA) for automorphism groups of free products
We provide some necessary and some sufficient conditions for the automorphism group of a free product of (freely indecomposable, not infinite cyclic) groups to have Property (FA). The additional sufficient conditions are all met by finite groups, and...
A sufficient condition for global existence of solutions to a generalized derivative nonli…
We give a sufficient condition for global existence of the solutions to a generalized derivative nonlinear Schrödinger equation (gDNLS) by a variational argument. The variational argument is applicable to a cubic derivative nonlinear Schrödinger eq...
Manifolds admitting a $\tilde G_2$-structure
We find a necessary and sufficient condition for a compact 7-manifold to admit a $\tilde G_2$-structure. As a result we find a sufficient condition for an open 7-manifold to admit a closed 3-form of $\tilde G_2$-type....
Some necessary and sufficient conditions for parastrophic invariance of the associative la…
Every quasigroup $(S,\cdot)$ belongs to a set of 6 quasigroups, called parastrophes denoted by $(S,π_i)$, $i\in \{1,2,3,4,5,6\}$. It is shown that isotopy-isomorphy is a necessary and sufficient condition for any two distinct quasigroups $(S,π_i)...
Exposed positive maps: a sufficient condition
Exposed positive maps in matrix algebras define a dense subset of extremal maps. We provide a sufficient condition for a positive map to be exposed. This is an analog of a spanning property which guaranties that a positive map is optimal. We analyze...
Condition for the adiabatic approximation
We give a sufficient condition for the quantum adiabatic approximation, which is quantitative and can be used to estimate error caused by this approximation. We also discuss when the traditional condition is sufficient....
Approximate co-sufficient sampling with regularization
In this work, we consider the problem of goodness-of-fit (GoF) testing for parametric models. This testing problem involves a composite null hypothesis, due to the unknown values of the model parameters. In some special cases, co-sufficient sampling...
A sufficient condition for a branched surface to fully carry a lamination
We give a sufficient condition for a branched surface in a 3 dimensional manifold to fully carry a lamination, giving a piece of answer to a classical question of D. Gabai....
Differential Characterization of Quasi-Concave Functions without Twice Differentiability
This paper presents a necessary and sufficient condition for a real-valued function defined on an open and convex subset of a Banach space to be quasi-concave, and a sufficient condition for such a function to be strictly quasi-concave. These conditi...
Is sinus opacity on x-ray sufficient to diagnose chronic sinusitis?
Nov 25, 2025 · No, sinus opacity on x-ray alone is not sufficient to diagnose chronic sinusitisâthe diagnosis must be based primarily on clinical criteria (symptoms lasting >90 days), and imaging â¦
SDRcausal: an R package for causal inference based on sufficient dimension reduction
SDRcausal is a package that implements sufficient dimension reduction methods for causal inference as proposed in Ghosh, Ma, and de Luna (2021). The package implements (augmented) inverse probability weighting and outcome regression (imputation) esti...
Daily Teachings #3 - How to become self-sufficient
I haven't done a "Daily Teachings" in a long time (257 days, apparently), and this one seems necessary and applicable. **What do I mean by self-sufficient?** * You have the parts that you need on ...
Man accused of killing Chatham County teacher while fleeing ICE agents appears in court
Recorder’s Court Judge Crystal Harmon determined there was sufficient probable cause for the charges and bound the case up to Superior Court.
Stability of Solutions of Fuzzy Differential Equations
In this paper, We study the stability of solutions of fuzzy differential equations by Lyapunov's second method. By using scale equations and comparison principle for Lyapunov - like functions, we give some sufficient criterias for the stability and...
Stretching Instability of Helical Spring
We show that when a gradually increasing tensile force is applied to the ends of a helical spring with sufficiently large ratios of radius to pitch and twist to bending rigidity, the end-to-end distance undergoes a sequence of discontinuous stretch...