Given a quasi-concave-convex function f : X × Y → R defined on the product of two convex sets we would like to know if infY supX f = supX infY f . In [4] we showed that that question is very closely linked to the following “reconstruction” problem: given a polytope (i.e. the convex hull of a finite set of points) X and a family F of subpolytopes of X, we would like to know if X ∈ F, knowing tha...

Eight organo-iron ferrocene derivatives and arenocenium salts were prepared and evaluated by "in vitro" assay against one strain of Trypanosoma cruzi (Y). Six of the eight organo-iron compounds assayed, piperazinium diferrocenoate 1, eta(6)-(o-xylene)-eta(5)-(cyclopentadienyl) Iron(II) hexafluorophosphate 3, eta(6)-(mesitylene)-eta(5)-(cyclopentadienyl) iron(II) hexafluorphosphate 5, eta(6)-(du...

A series of fascinating diiron complexes featuring bridging N(x)H(y) ligands stabilized by tris(phosphine)borate ([PhB(CH(2)PR(2))(3)] = [PhBP(R)(3)]) ligands have been characterized. Hydrazine activation by [PhBP(R)(3)]Fe-Me (R = Ph or cyclohexylmethyl) leads to diiron Fe(2)(mu-eta(1):eta(1)-N(2)H(4))(mu-eta(2):eta(2)-N(2)H(2)) complexes featuring both bridging hydrazine and hydrazido ligands....

Quantum simulation is a prominent application of quantum computers. While there extensive previous work on simulating finite-dimensional systems, less known about algorithms for real-space dynamics. We conduct systematic study such algorithms. In particular, we show that the dynamics $d$-dimensional Schr\"{o}dinger equation with $\eta$ particles can be simulated gate complexity $\tilde{O}\bigl(...

Magnetic sphere viscoelastometry, video microscopy, and the Kamiya double chamber method (Kamiya, N., 1940, Science [Wash. DC], 92:462-463.) have been combined in an optical and rheological investigation of the living endoplasm of Physarum polycephalum. The rheological properties examined were yield stress, viscosity (as a function of shear), and elasticity. These parameters were evaluated in d...

Suppose that $\ell \geq 5$ is prime. For a positive integer $N$ with $4 \mid N$, previous works studied properties of half-integral weight modular forms on $\Gamma_0(N)$ which are supported finitely many square classes modulo $\ell$, in some cases proving these congruent to the image single variable theta series under number iterations Ramanujan $\Theta$-operator. Here, we study analogous probl...

We give a Chowla-Selberg type formula that connects a generalization of the eta-function to GL(n) with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.

The Pampas Region is a big plain of approximately 520,000 km2 in Argentina. It essential to estimate evapotranspiration (ET) this region since the primary productivity directly linked water availability. Information provided by satellite missions allows monitoring spatial and temporal variability ET. In current study, we evaluated version 006 MOD16A2 product (MOD16A2.006) Potential Evapotranspi...