In this note, we prove that smooth self-shrinkers in R, that are entire graphs, are hyperplanes. Previously Ecker and Huisken showed that smooth self-shrinkers, that are entire graphs and have at most polynomial growth, are hyperplanes. The point of this note is that no growth assumption at infinity is needed.

We derive curvature estimates for minimal submanifolds in Euclidean space for arbitrary dimension and codimension via Gauss map. Thus, SchoenSimon-Yau’s results and Ecker-Huisken’s results are generalized to higher codimension. In this way we improve Hildebrandt-Jost-Widman’s result for the Bernstein type theorem.

Ethylene is an important hormonal regulator of plant growth that acts by regulating gene expression. In this issue of Cell, Guo and Ecker, and Potuschak et al., show that ethylene increases the abundance of the transcription factor EIN3, an activator of ethylene-inducible genes, by relieving its SCF-mediated destruction.

Response inhibition and serotonin in autism: a functional MRI study using acute tryptophan depletion Eileen Daly, Christine Ecker, Brian Hallahan, Quinton Deeley, Michael Craig, Clodagh Murphy, Patrick Johnston, Debbie Spain, Nicola Gillan, Maria Gudbrandsen, Michael Brammer, Vincent Giampietro, Melissa Lamar, Lisa Page, Fiona Toal, Nicole Schmitz, Anthony Cleare, Dene Robertson, Katya Rubia an...

It has been shown (Boursnell, Francis & Wormall, 1946) that haemolytic complement is rapidly inactivated by small amounts of sulphur mustard (di-2-chloroethyl sulphide; code no. H) and divinyl sulphone. Since the nitrogen mustards have been widely used during recent years in the treatment of some neoplastic diseases, we decided to study the action, in vitro and in vivo, of a typical nitrogen mu...

A System-Level Modelling, Analysis and Synthesis of Embedded Multi-Core Designs Organiser: Daniel D Gajski, CECS, UC Irvine, US Speakers: Andreas Gerstlauer, UT Austin, US Juergen Teich, University of Erlangen-Nuremberg, DE Wolfgang Ecker, Infineon Technologies, DE Samar Abdi, CECS, UC Irvine, US Christian Haubelt, University of Erlangen-Nuremberg, DE Mike Meredith, Forte Design Systems, US Mar...

The modelling of ionization potential depression in warm and hot dense plasmas constitutes a real theoretical challenge due to ionic coupling electron degeneracy effects. In this work, we present quantum statistical model based on multi-configuration description the electronic structure framework Density Functional Theory. We discuss different conceptual issues inherent definition compare our r...

The Effects of Anticipated Future Investments on Firm Value: Evidence from Mergers and Acquisitions by Ning Zhang Business Administration Duke University Date: _____________________ Approved: __________________ Qi Chen, Supervisor __________________ Frank Ecker __________________ Per Olsson __________________ David Robinson __________________ Katherine Schipper An abstract of a dissertation sub...

The response of Arabzdqsis thaliana etiolated seedlings to the plant hormone ethylene is a conspicuous phenotype known as the triple response. We have identified genes that are required for ethylene perception and response by isolating mutants that fail to display a triple response in the presence of exogenous ethylene. Five new complementation groups have been identified. Four of these loci, d...

A quasigroup (Q, ∗) is called totally anti-symmetric if (c ∗ x) ∗ y = (c ∗ y) ∗ x⇒ x = y and x∗y = y∗x⇒ x = y. A totally anti-symmetric quasigroup can be used for the definition of a check digit system. Ecker and Poch [9] conjectured that there are no totally anti-symmetric quasigroups of order 4k + 2. This article will completely disprove their conjecture (except for n = 2, 6) as we will give ...