In this article we prove that there do not exist non-architecturally singular Stewart Gough Platforms with planar base and platform and no four anchor points collinear, whose singularity set for any orientation of the platform is a cylindrical surface with rulings parallel to a given fixed direction p in the space of translations.

CONTENTS I . Introduction 2. Moire patterns from crossed gratings 3. Moire patterns from sampled gratings 3.1. Model of multiple stage reconstruction and sampling 3.2. Moire patterns 4. Experimental verification of sampled-grating moire 5. Crossed-gratings models of sampled gratings 5.1. Approximation with two Ronchi rulings 5.2. Approximation with two arbitrary gratings 5.3. Visual comparison ...

A review of significant administrative and judicial rulings in antitrust law during 1993 shows that the antitrust laws should not impede innovative, cost-cutting cooperative arrangements among providers, so long as their actual or potential procompetitive benefits are not outweighed by their anticompetitive effects.

This paper provides a general method for analysing the sentiments expressed in language of judicial rulings. We apply natural processing tools to text US appellate court opinions extrapolate judges’ (positive/good vs. negative/bad) towards number target social groups. explore descriptively how these vary over time and across types judges. In addition, we provide using random assignment judges a...

After 18 months of delays, the U.S. Food and Drug Administration announced in separate rulings that limited evidence supports labeling tomato products and green tea as reducing the risk of prostate cancer and prostate and breast cancers, respectively. However, the agency rejected much broader claims requested by the H.J. Heinz Company (for tomato products) and Fleminger Inc. (for green tea). It...

The General Medical Council, which once found itself in court only when a doctor appealed to the privy council against a finding of serious professional misconduct, is facing a growing readiness of dissatisfied doctors to mount legal challenges to its practices and rulings. Dr Sidney Gee, the Harley Street slimming doctor cleared ofcharges ofmisconduct last April, started the trend when he took...

The moral in Islam is the source of his spirit because it merged all its rulings, and at costs; From doctrine, worship, treatment, contracts, felony, punishment, politics, economics. Each section jurisprudence finds person charge morals inherent rooted it. Because heart message Prophet, may God’s prayers peace be upon him, for worship has purposes that are not disturbed by their essence, transa...

In this article, we introduce special divisors (root, line, ruling, exceptional system and rational quartic) in smooth rational surfaces and study their correspondences to subpolytopes in Gosset polytopes k21. We also show that the sets of rulings and exceptional systems correspond equivariantly to the vertices of 2k1 and 1k2 via E-type Weyl action.

We prove two of Thébault’s conjectures. The first (1949) links four lines, that they are rulings of hyperbolic paraboloids or that they are coplanar, with orthocentric or isodynamic tetrahedra, respectively. The second (1953) links the radical center of four spheres with elements of tetrahedra.