One reason for wanting to compute an (approximate) Nash equilibrium of a game is to predict how players will play. However, if the game has multiple equilibria that are far apart, or ǫ-equilibria that are far in variation distance from the true Nash equilibrium strategies, then this prediction may not be possible even in principle. Motivated by this consideration, in this paper we define the no...

background: this study consists of two parts. the first part deals with both qualitative and quantitative analysis of 226ra using alpha spectrometry measurement method. in the second part, the percentage of radioactive equilibrium between 226 ra and its daughter products were determined by alpha spectrometry and total alpha measurement system after elapsed time of 15 days from precipitation. ma...

Stem number distributions in uneven-aged forests are assumed to be stable, if they follow special functions, e.g. de Liocourt’s reverse J-shaped breast height diameter distribution. These distributions therefore are frequently regarded as a target in all-aged forests. Intending to convert an even-aged forest or any other forest, not yet exhibiting this sort of equilibrium, towards a steady stat...

We construct and explore the solution space of two nonspinning, miniboson stars in equilibrium, fully nonlinear general relativity (GR), minimally coupled to a free, massive, complex scalar field. The equilibrium is due balance between (long range) gravitational attraction (short-range) mediated repulsion, latter enabled by $\ensuremath{\pi}$ relative phase. Gravity mandatory; it shown no simil...

We measured the distance between fluorescent-labeled DNA loci of various interloci contour lengths in Caulobacter crescentus swarmer cells to determine the in vivo configuration of the chromosome. For DNA segments less than about 300 kb, the mean interloci distances, , scale as n(0.22), where n is the contour length, and cell-to-cell distribution of the interloci distance r is a universal fu...

We examine problems of placing facilities in a tree graph to serve customers. The decision of placement is driven by an election process amongst the users, where the user preference is modeled by distances in the tree. Relaxed user preferences introduce a tolerance of users against small di erences in distances. Monotonous gain functions are a natural generalization of well known competitive an...

The title bis-Schiff base compound, C(26)H(28)N(2)O(4)·C(2)H(6)O·H(2)O, crystallizes as an ethanol and water solvate. Strong intra-molecular O-H⋯N hydrogen bonds generate S(6) ring motifs. The water H atoms form bifurcated O-H⋯(O,O) inter-molecular hydrogen bonds with the O atoms of the hydroxyl and eth-oxy groups with R(1) (2)(5) ring motifs, which may, in part, influence the mol-ecular config...

The equilibrium geometries, thermochemistry, and vibrational frequencies of the homoleptic binuclear rhenium carbonyls Re2(CO)n (n = 10, 9, 8, 7) were determined using the MPW1PW91 and BP86 methods from density functional theory (DFT) with the effective core potential basis sets LANL2DZ and SDD. In all cases triplet structures for Re2(CO)n were found to be unfavorable energetically relative to ...

The asymmetric unit of the title compound, [ZnCl(2)(C(11)H(17)N(3))], contains two independent penta-coordinate Zn(II) complex mol-ecules. In each mol-ecule, the metal atom is coordinated by an N,N',N''-tridenate Schiff base and two Cl atoms in a distorted square-pyramidal geometry. The two mol-ecules differ little in their geometry, but more in their inter-molecular inter-actions. In the cryst...

Theory indicates that spatial scale and habitat configuration are fundamental for coevolutionary dynamics and how diversity is maintained in host-pathogen interactions. Yet, we lack empirical data to translate the theory to natural host-parasite systems. In this study, we conduct a multiscale cross-inoculation study using the specialist wild plant pathogen Podosphaera plantaginis on its host pl...