The rate of unidirectional uptake, v, of L-[4,5-3H]leucine was studied in 17 isolated dog brains by means of an indicator-dilution technique using 22Na as the intravascular reference. The arterial leucine concentration was varied in increments by adding unlabeled leucine to the blood and v was determined after each change. The valine and isoleucine concentrations were varied independently to pe...

We give an arithmetic count of the lines on a smooth cubic surface over arbitrary field $k$ , generalizing counts that ${\mathbf {C}}$ there are $27$ lines, and {R}}$ number hyperbolic minus elliptic is $3$ . In general, defined extension $L$ have associated type $\alpha$ in $L^*/(L^*)^2$ There equality Grothendieck–Witt group $\operatorname {GW}(k)$ \[ \sum_{\text{lines}} \operatorname{Tr}_{L/...

Let E be an elliptic curve over Q and let p ≥ 5 be a prime of good supersingular reduction for E. Let K be an imaginary quadratic field satisfying a modified “Heegner hypothesis” in which p splits, write K∞ for the anticyclotomic Zp-extension of K and let Λ denote the Iwasawa algebra of K∞/K. By extending to the supersingular case the Λ-adic Kolyvagin method originally developed by Bertolini in...

We start with a theorem of Perles on the k-skeleton, Skel k (P) (faces of dimension k) of d-polytopes P with d+b vertices for large d. The theorem says that for xed b and d, if d is suuciently large, then Skel k (P) is the k-skeleton of a pyramid over a (d ? 1)-dimensional polytope. Therefore the number of combinatorially distinct k-skeleta of d-polytopes with d + b vertices is bounded by a fun...

Let X be a geometrically connected scheme over a field K. Then, the absolute Galois group GK of K acts on the algebraic fundamental group π 1 (X ⊗K,x). This lecture explains the following: 1. This action is an analogy of “geometric monodromy of deformation family” in the topology. 2. Lie algebraization of the fundamental group is effective to extract some information from this action. 1 Algebra...

The methodology for deoxyribonucleic acid-mediated transformation of Spirillum lipoferum to resistance to various antimicrobial agents is reported.

Protein-bound water molecules play crucial roles in their structure and function, but their detection is an experimental challenge, particularly in aqueous solution at room temperature. By applying attenuated total reflection (ATR) Fourier-transform infrared (FTIR) spectroscopy to a light-driven Cl(-) pump pharaonis halorhodopsin (pHR), here we detected an O-H stretching vibration of protein-bo...

Let π : X → C be an elliptic surface over an algebraically closed field of characteristic zero andDi = π (Pi) the singular fibers. Put U = X−∪iDi. Our objective in this paper is the image of the dlog map Γ (U,K2) → Γ (X,ΩX(log ∑ Di)). In particular, we give an upper bound of the rank of the dlog image, which is computable in many cases. This also allows us to construct indecomposable parts of B...

In this paper we introduce a formula to compute Chern classes of fibered products of algebraic surfaces. For f : X → CP 2 a generic projection of an algebraic surface, we define X k for k ≤ n (n = deg f) to be the k products of X over f minus the big diagonal. For k = n (or n − 1), X k is called the Galois cover of f w.r.t. full symmetric group. We give a formula for c 2 1 and c 2 of X k. For k...