Let T be Takagi’s continuous but nowhere-differentiable function. Using a representation in terms of Rademacher series due to N. Kono [Acta Math. Hungar. 49 (1987)], we give a complete characterization of those points where T has a left-sided, right-sided, or two-sided infinite derivative. This characterization is illustrated by several examples. A consequence of the main result is that the set...

Luis A. Agapito,1,2 Marco Fornari,3,4 Davide Ceresoli,5 Andrea Ferretti,6 Stefano Curtarolo,4,7 and Marco Buongiorno Nardelli2,4,* 1Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA 2Department of Physics, University of North Texas, Denton, Texas 76203, USA 3Department of Physics, Central Michigan University, Mount Pleasant, Michigan ...

The authors develop a conceptual, testable model suggesting lack of developmental synchrony between cortical and subcortical neural tracts necessary for breathing control underlying human vocalization (speech breathing), potentially leaving infants vulnerable to inconsolable crying. They propose that this lack of developmental synchrony also helps explain the human susceptibility to sudden infa...

The Magnetospheric Multiscale (MMS) mission will provide measurement capabilities, which will exceed those of earlier and even contemporary missions by orders of magnitude. MMS will, for the first time, be able to measure directly and with sufficient resolution key features of the magnetic reconnection process, down to the critical electron scales, which need to be resolved to understand how re...

1Departments of Medicine and Dermatology, Division of Immunology and Rheumatology, Stanford University and Palo Alto VA Health Care System, CA, USA; 2Centre for Rheumatology, Royal Free Hospital, London, United Kingdom; 3Department of Rheumatology, University Hospital Zurich, Switzerland; 4Department of Medicine, Division of Rheumatology, University of California at Los Angeles, Los Angeles, US...

Cormac Toher,1 Corey Oses,1 Jose J. Plata,1 David Hicks,1 Frisco Rose,1 Ohad Levy,1,2 Maarten de Jong,3,4 Mark Asta,3 Marco Fornari,5 Marco Buongiorno Nardelli,6 and Stefano Curtarolo7,* 1Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA 2Department of Physics, NRCN, Beer-Sheva, 84190, Israel 3Department of Materials Science and Engin...

1 University of Florida, Gainesville, FL, USA 2 Mount Desert Island Biological Laboratory, Salisbury Cove, ME, USA 3 University of Gothenburg, Gothenburg, Sweden 4 Wellesley College, Wellesley, MA, USA 5 University of North Texas, Denton, TX, USA 6 University of Alaska, Firbanks, AK, USA 7 University of Auckland, Auckland, New Zealand 8 Ohio University, Athens, OH, USA 9 University of Ottawa, O...

A multiscale approach to hyperspectral image data analysis using fractal signatures was proposed and implemented in the Interactive Data Language (IDL). For 2-D hyperspectral curves, fractal signature measures the changes in curve length with changing scale. Using NASA’s Earth Observing-1 (EO-1) Hyperion image from a study area near Denton, Texas, USA, the capabilities of fractal signatures in ...

Young’s Branch (YB), located on a portion of the Wayne National Forest in Lawrence County, is located on bedrocks belonging to the Allegheny group. By contrast, Bluegrass Ridge (BR), the other study area in Lawrence County, is underlain by sedimentary strata of the Connemaugh group. The bedrock complex includes a combination of sandstones, sandy shales (or siltstones), and clay shales (Denton e...

*Contributed equally to this work a Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208, USA Correspondence and requests for materials should be addressed to G. Jeffrey Snyder (E-mail: [email protected]) b Department of Applied Physics and Materials Science, California Institute of Technology, Pasadena, California 91125, USA c Division o...