Non positive

FIG. 1 The figure illustrates a piece of surface with non-positive Gaussian curvature. / and / 2 are the principal radii. The Gaussian K) and the mean (H) curvatures are expressed in terms of the principal radii as follows H — j (2/ i) -h 1/(2/ 2), K = l/(/ i/ 2). If R = —Ri at every point, the surface is called minimal. This implies that K is non-positive at every point. 

W. Gozdz, R. Holyst. High genus gyroid surfaces of non-positive gaussian curvature. Phys Rev Lett 76 2726-2729, 1996. 

It is natural to consider the case when the surface affinity h to adsorb or desorb ions remains unchanged when charging the wall but other cases could be considered as well. In Fig. 13 the differential capacitance C is plotted as a function of a for several values of h. The curves display a maximum for non-positive values of h and a flat minimum for positive values of h. At the pzc the value of the Gouy-Chapman theory and that for h = 0 coincide and the same symmetry argument as in the previous section for the totally symmetric local interaction can be used to rationalize this result. 

From the Cauchy inequality, the difference of the first two terms of Eq. (4-228) is non-positive. Writing out the part of the third term in curly brackets, we get... 

Applying the Cauchy inequality, this term is also non-positive, giving... 

PFBS Non positive Compound is out of model Applicability No alerts for carcinogenic activity Positive SAs for the micronucleus... 

Crystal data and parameters of the data collection (at -173°, 50 < 20 < 450) are shown in Table I. A data set collected on a parallelopiped of dimensions 0.09 x 0.18 x 0.55 mm yielded the molecular structure with little difficulty using direct methods and Fourier techniques. Full matrix refinement using isotropic thermal parameters converged to R = 0.I7. Attempts to use anisotropic thermal parameters, both with and without an absorption correction, yielded non-positive-definite thermal parameters for over half of the atoms and the residual remained at ca. 0.15. 

Data was then coTTected on a smaller crystal. The residuals improved, but several non-hydrogen anisotropic thermal parameters converged to non-positive-definite values. There was no evidence for... 

All eigenvalues X of K have non-positive real parts, ReX O, because solutions cannot leave E in positive time. 

E. Comment on any non-positive data in animals or people, and whether these data were considered in the hazard characterization. 

This completes the proof of the second lemma. A corollary is that for a time-independent solution either all components are nonnegative, or all non-positive. For a stationary probability distribution one has, of course, psn 0, because C— 1. 

In order to solve the set (7.7) one first seeks normal modes. Knowing since V.7 that the eigenvalues are real non-positive we set... 

CDV06] V. Chepoi, F. Dragan, and Y. Vaxes, Distance and routing labelling schemes for non-positively curved plane graphs, Journal of Algorithms 61-2 (2006) 60-88. 

Lenosky, Gonze, Teter and Elser propose the name schwarzites, in memory of H. A. Schwarz, for this category of graphites with non-positive curvatures. Since the name seems vacant as a mineral name, we commend the proposal. 

By applying these properties, we will prove that all the characteristic roots of the matrix for the linear approximation are real and non-positive whereas the characteristic roots of its limitation on the linear subspace generated by the vectors ySi are negative. Let us express the linear approximation matrix as L N = L(N - N ). This matrix possesses an important property, i.e. self-conjugation relative the introduced scalar product < ). It suggests that, for any N, N, we have... 

As in the previous paragraph where we considered the case mt = 1, we obtain (1) eigenvalues of J have a non-positive real part and (2) purely imaginary eigenvalues are absent. Further, for any two solutions y0 and... 

Referring further to Table III, it is clear that not every firing of the test weapon led to a positive indication of gunshot residue. Any or all of several factors may account for the 15 incidence of "non-positives" in this study. One is variability in the spatial distribution of gunshot residue from one firing to another. A second involves non-reproducibility... 

This Hamiltonian has only non-positive matrix elements and its matrix in the space of spin configurations cannot be represented in a block-diagonal form after any permutation of the basis functions. Therefore, according to the Perron-Frobenius theorem its ground state must be nondegenerate. Obviously, the... 

Even if the equations arrived at seem familiar there are some obvious fundamental differences. First of all, the ansatz singles out two mirror spaces, where the particle and its mirror image may be located, respectively. Second, the expanded complex symmetric representation takes into account complex resonance states. Note also, as said above, that the complex symmetry can be obtained from the hermitean representation via a non-positive definite metric, i.e. 

In summary, the model allows for two types of interactions between the mirror spaces, the weak kinematical perturbation and the adiabatic and sudden limits equivalent to Eq. (17) or Eqs. (29)-(34). The overwhelming rate of particles over antiparticles in the Universe is inferred in this picture once the particular particle state has been selected. The Minkowski metric of the special theory of relativity is represented here by a non-positive definite metric, Eq. (8), bringing about a quantum model with a complex symmetric ansatz. Although the latter permits general symmetry violations, it is nevertheless surprising that fundamental transformations between complex symmetric representations and canonical forms come out unitary. 

By virtue of Eq. (17-37), the average sum of the solute-solvent interaction energy in the solution system of interest is smaller than or equal to A/x. This means that the density-functional Fe is always non-positive for any solute-solvent distribution function. Actually, the density functional is a measure of the difference between... 

The action that pushes solid particles forward in the feed section of a single screw extruder, blow, or injection machine has always been a potential for one of the weakest features of these machines. This forward feeding force near the feed hopper is often weak and erratic and is classified as non-positive. It can be so tenuous that a specific screw/barrel combination will feed virgin but little or no additions of regrind, or one feedstock shape but not another, and often one family of plastics but not another. This action results in non-uniform feed that will in turn result in poor production rates, non-uniform output (surging), and poor product quality.147... 

ADP are non-positive definite , that is, they do not define an ellipsoid at all but an open surface, this usually indicates grossly erroneous data (e.g. due to twinning) or a wrong space group (e g. a cenfrosymmetric structure is refined as noncentrosymmetric). 

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