In a recent study of Engel Lie rings, Serena Cicalò and Willem de Graaf have given a practical set of conditions for an additively finitely generated Lie ring L to satisfy an Engel condition. We present a simpler and more direct proof of this fact. Then we generalize it to a result in the language of tensor algebra, which can be applied to other contexts.

5936 words 36634 signs 1. Epistemic normativity 2. Norms of rationality 3. Epistemic norms and concepts 4. The Ur-Norm of truth 5. Epistemic norms and epistemic values 1. Epistemic normativity When we evaluate our beliefs and our reasonings as justified or unjustified, good or bad, rational or irrational, we make, in a broad sense of the term, normative judgements about them. It is often said t...

Citation: Engel A, Bange HW, Cunliffe M, Burrows SM, Friedrichs G, Galgani L, Herrmann H, Hertkorn N, Johnson M, Liss PS, Quinn PK, Schartau M, Soloviev A, Stolle C, Upstill-Goddard RC, van Pinxteren M and Zäncker B (2017) The Ocean’s Vital Skin: Toward an Integrated Understanding of the Sea Surface Microlayer. Front. Mar. Sci. 4:165. doi: 10.3389/fmars.2017.00165 The Ocean’s Vital Skin: Toward...

A new subgenus of Protandrena Cockerell (Panurginae: Protandrenini) from South America, Andinopanurgus Gonzalez & Engel, subgen. n., is described and figured for distinctive species of the genus occurring at mid- and high elevations in the Andes from Venezuela to Peru (1100-3400 m). In addition to the distribution, the subgenus is easily distinguished from other subgenera by a unique combinatio...

PURPOSE Despite the availability of detailed electroclinical and imaging data, only a few neuropathological studies of nodular heterotopia have been published. The aim of this study was to describe the neuropathological features of various types of nodular heterotopia obtained from patients undergoing surgery for intractable epilepsy. METHODS Specimens of heterotopic nodules taken from 24 pat...

in this paper the class of n-ary hypergroups is introduced and several properties are found andexamples are presented. n-ary hypergroups are a generalization of hypergroups in the sense of marty. on theother hand, we can consider n-ary hypergroups as a good generalization of n-ary groups. we define thefundamental relation β* on an n-ary hypergroup h as the smallest equivalence relation such tha...

A new species of the carpenter bee genus Xylocopa Latreille (Xylocopinae: Xylocopini) is described and figured from two localities in southern Saudi Arabia. Xylocopa (Koptortosoma) sarawatica Engel, sp. n. is a relatively small species similar to the widespread X. pubescens Spinola, but differs in the extent of maculation in males, setal coloration of both sexes, and male terminalia. A revised ...

Malaika S. Vlug, MD, PhD,∗ Jan Wind, MD, PhD,∗ Markus W. Hollmann, MD, PhD, DEAA,† Dirk T. Ubbink, MD, PhD,‡ Huib A. Cense, MD, PhD,§ Alexander F. Engel, MD, PhD,¶ Michael F. Gerhards, MD, PhD,∗∗ Bart A. van Wagensveld, MD, PhD,†† Edwin S. van der Zaag, MD,‡‡ Anna A.W. van Geloven, MD, PhD,§§ Mirjam A.G. Sprangers, PhD,¶¶ Miguel A. Cuesta, MD, PhD,∗∗∗ and Willem A. Bemelman, MD, PhD,* on behalf...

1. Historical origins of Lie group theory. Nowadays when Lie groups enter in a profound way into so many areas of mathematics, their historical origin is of considerable general interest. The connection between Lie groups and differential equations is not very pronounced in the modern theory of Lie groups, so in this introduction we attempt to describe some of the foundational work of S. Lie, W...

1 MD. MSc. 2 MD. Pediatric Pneumologist. 3 MD. Radiologist. 4 MD. Chest Surgeon Hospital Municipal São José, Joinville. Send correspondence to: Hospital Infantil Jeser Amarante Faria. Rua Três Barras, 539, casa 01, Bairro Saguaçu. Joinville-SC. Paper submitted to the BJORL-SGP (Publishing Management System – Brazilian Journal of Otorhinolaryngology) on December 15, 2010; and accepted on March 0...