Schema: there is a property φ and function δ such that (1) w = {x|φ(x)} exists, and (2) if y is a subset of w, then (i) δ(y) ∉ y, and (ii) δ(y) ∈ w. Thus, for example, in the case of Burali-Forti's Paradox, φ(x) is the property of being an ordinal, w is the set of all ordinals, and δ(y) is the least ordinal greater than every member of y. Priest spends the main part of his paper showing that th...

Corrections to Introduction, local page numbers page 6, line-3: should read λ(1 − λ)(d/dλ) 2 f + (c − (a + b + 1)λ)(d/dλ)f − abf = 0 Corrections to Chapter 2, local page numbers page 32, line 1 of Remarks 2.10.4: should begin 1) Here is a slightly variant... page 48, lines 2-3 of Corollary 2.13.3 should end/begin Then K = L χ(x−1) [1] satisfies K mid× D(inv K) = δ 1. Corrections to Chapter 8, l...

EDITORIAL Welcome to our sixth edition of Automotive Compilation! As the previous issues, it presents a range of articles focusing on Atmel's technologies and products. Application hints aim to support designers to create innovative system solutions for the ever-evolving automotive industry. Modern cars contain 70plus Electronic Control Units (ECUs), and the amount of electronics in cars will c...

A combination of stomach content and stable isotope (δ 13 C, δ 15 N, 34 S) analyses were used to characterize examine spatiotemporal ontogenetic trends in the feeding ecology juvenile bull sharks ( Carcharhinus leucas ) captured estuaries throughout northwest Gulf Mexico (GoM) between 2013 2016. Shark diets dominated by fish prey taxa [>98% index relative importance (%IRI)], those identi...

A new δ(18)O Phanerozoic database, based on 24,000 low-Mg calcitic fossil shells, yields a prominent 32 Ma oscillation with a secondary 175 Ma frequency modulation. The periodicities and phases of these oscillations are consistent with parameters postulated for the vertical motion of the solar system across the galactic plane, modulated by the radial epicyclic motion. We propose therefore that ...

Let Δ ≥ 1 and δ ≥ 0 be real numbers. A tree T = (V,E′) is a distance (Δ, δ)–approximating tree of a graph G = (V,E) if dH(u, v) ≤ Δ dG(u, v) + δ and dG(u, v) ≤ Δ dH(u, v) + δ hold for every u, v ∈ V . The distance (Δ, δ)-approximating tree problem asks for a given graph G to decide whether G has a distance (Δ, δ)-approximating tree. In this paper, we consider unweighted graphs and show that the...

The goal of the present paper is study some algebraic invariants Stanley–Reisner rings Cohen–Macaulay simplicial complexes dimension d−1. We prove that inequality d≤reg(Δ)⋅type(Δ) holds for any (d−1)-dimensional complex Δ satisfying Δ=core(Δ), where reg(Δ) (resp. type(Δ)) denotes Castelnuovo–Mumford regularity type) ring k[Δ]. Moreover, given integers d,r,t r,t≥2 and r≤d≤rt, we construct a Δ(G)...

In this paper we introduce the notions of G∗L-module and G∗L-module whichare two proper generalizations of δ-lifting modules. We give some characteriza tions and properties of these modules. We show that a G∗L-module decomposesinto a semisimple submodule M1 and a submodule M2 of M such that every non-zero submodule of M2 contains a non-zero δ-cosingular submodule.

     The composition of essential oil of leaves of the male and female shrubs of Juniperus chinensis L. (growing in Isfahan) was analyzed by gas choromatography(GC) and GC-mass spectrometery (MS). The main constituents of leaf oil of the male shrub were: bornyl acetate (26.1%), sabinene (18.3%), trans-sabinyl acetate (11.1%), myrcene (9.2%), lim...