We present a phase field model for the evolution of stepped surfaces with distinct material parameters across nanoscale terraces in surface diffusion. The model aims to capture the Burton-CabreraFrank (BCF)-type theory for the motion of decorated non-interacting steps separating composite terraces. Our work forms an extension of the phase field model by Hu et al. [Physica D 241, 77 (2012)]. The...

This paper applies machine learning and the mathematics of chaos to the task of designing indoor rock-climbing routes. Chaotic variation has been used to great advantage on music and dance, but the challenges here are quite different, beginning with the representation. We present a formalized system for transcribing rock climbing problems, then describe a variation generator that is designed to...

We study the Yang-Mills-Chern-Simons theory systematically in an effort to generalize the Coleman-Hill result to the non-Abelian case. We show that, while the Chern-Simons coefficient is in general gauge dependent in a non-Abelian theory, it takes on a physical meaning in the axial gauge. Using the non-Abelian Ward identities as well as the analyticity of the amplitudes in the momentum variable...

An experiment was carried out to assess the effect of four nitrogen levels viz. T1 (full doze of urea i.e. 215 kg urea ha-1 at 15 DAT), T2 (full doze of urea at two equal splits, ½ at 15 DAT + ½ at 30 DAT), T3 (full doze of urea at two equal splits, ½ at 15 DAT + ½ at 55 DAT) and T4 (full doze of urea at three equal splits, 1/3 at 15 DAT + 1/3 at 30 DAT + 1/3 at 55 DAT) on morpho-physiological ...

HILL Entropy and Metric Entropy are generalizations of the information-theoretic notion of min-entropy to the setting where an adversary is computationally bounded. The notion of HILL Entropy appeared in the breakthrough construction of a PRG from any one-way function, and has become the most important and most widely used definition of computational entropy. In turn, Metric Entropy which is de...

to assess nickel-induced toxicity in plants, zea mays seeds were germinated and cultured on nutrient solution with nickel concentrations of 0, 50, 100 and 200 μm for a period of two weeks. its effects on the growth, hill reaction and photosynthetic pigments content were then investigated. the fresh and dry weight of leaves and roots increased in 50 μm nickel, but decreased in 100 and 200 μm. th...

We study the ultrasensitivity of multisite binding processes where ligand molecules can bind to several binding sites, considering more particularly recent models involving complex chemical reactions in phosphorylation systems such as allosteric phosphorylation processes, or substrate-catalyst chain reactions and nucleosome mediated cooperativity. New statistics based formulas for the Hill coef...

011 R. Ash, Information Theory. New York: Wiley, 1965. R. J. McEliece, The Theory of Information and Coding. London: Addison-Wesley, 1917. D. Middleton, An Introduction to Statistical Communicat ion Theory. New York: McGraw-Hill, 1960. M. R. D’Amato, Experimental Psychology: Methodology, Psychophysics, and Learning. New York: McGraw-Hill, 1970. P. J. Barber and D. Legge, Perception and Informat...

We prove that the homotopy theory of $N_\infty$ operads is equivalent to a discrete operads, and we construct free associative operadic realizations every indexing system. This resolves conjecture Blumberg Hill in affirmative.