We examine the size s(n) of a smallest tournament having the arcs of an acyclic tournament on n vertices as a minimum feedback arc set. Using an integer linear programming formulation we obtain lower bounds s(n) ≥ 3n − 2 − blog2 nc or s(n) ≥ 3n − 1 − blog2 nc, depending on the binary expansion of n. When n = 2k − 2t we show that the bounds are tight with s(n) = 3n−2−blog2 nc. One view of this p...

A substituted TREN has been prepared in which the aryl groups in (ArylNHCH2CH2)3N are substituted at the 3- and 5-positions with a total of six OCH2(CH2)nCH═CH2 groups (n = 1, 2, 3). Molybdenum nitride complexes, [(ArylNCH2CH2)3N]Mo(N), have been isolated as adducts that contain B(C6F5)3 bound to the nitride. Two of these [(ArylNCH2CH2)3N]Mo(NB(C6F5)3) complexes (n = 1 and 3) were crystallograp...

A series of trichlorogermanate(II) salts (AGeCl3, A = Rb, Cs, C H 3N H 3, and (CH 3)4N) have been synthesized and characterized by 35C1 NQ R, 35C1 NM R, AC conductivity, DTA, and X-ray diffrac­ tion techniques. In the temperature range studied two, two, five, and four phases were confirmed for the Rb, Cs, C H 3N H 3, and (CH 3)4N salts, respectively. From the 35C1 NQ R and structural data, isol...

Using the second conjecture in the paper [10] of the author and inspired by the theory of modular functions we find a method which allows us to obtain explicit formulae, involving η or θ functions, for the parameters of a class of series for 1/π. As in [10], the series considered in this paper include Ramanujan’s series as well as those associated with the Domb numbers and Apéry numbers. 1 A sp...

The PUFA metabolism in broiler chicken was studied through the whole body fatty acid balance method. Four dietary lipid sources (palm fat, Palm; soyabean oil, Soya; linseed oil, Lin; fish oil, Fish) were added at 3 % to a basal diet containing 5 % palm fat. Diets were fed to female and male birds from day 1 to either day 21 or day 42 of age. Birds fed the Lin diet showed a significantly higher ...

Human studies using deuterium-labeled fatty acids have answered many questions related to the metabolism and health effects of dietary fats. These studies also raised a number of unanswered questions and unresolved issues. For example, studies with cis and trans positional isomers dispelled concerns and allegations that the isomers in partially hydrogenated fats were poorly absorbed, accumulate...

Increasing evidence suggests that fetal and neonatal nutrition impacts later health. Aims of the present study were to determine the effect of maternal dietary fat composition on intestinal phospholipid fatty acids and responsiveness to experimental colitis in suckling rat pups. Female rats were fed isocaloric diets varying only in fat composition throughout gestation and lactation. The oils us...

Data from a previous study about the effects of pH and of linolenic acid (C18:3n-3) and linoleic acid (C18:2n-6) concentrations on C18:2n-6 biohydrogenation in ruminal cultures were used to calculate the rates and efficiencies of the three reactions of C18:2n-6 biohydrogenation (isomerisation of C18:2n-6 to CLA; reduction of CLA to trans-octadecenoic acids; reduction of trans-octadecenoic acids...

OBJECTIVES According to myosatellite cell lines (MSCs) established in vitro from diploid and triploid flounder, we compared the characters of growth and differentiation of their MSCs. The results would be useful for learning the muscle development mechanism in teleosts. MATERIALS AND METHODS The skeletal muscle cells from the diploid and triploid olive flounder Paralichthys olivaceus were iso...