Incentives and the needham paradox: An agent-based perspective

This article discusses how restructured incentives could have inhibited innovation in ancient China and explain the Needham paradox. Agents in a genetic algorithmic game maximize their payoffs by choosing between innovating and studying the Classics. By restructuring incentives toward studying the Classics, initial spurts of innovation are smothered, resulting in a population with all agents studying the Classics. The incentive structure has a statistically and quantitatively significant impact on the expected average payoffs and the strategy profile of the population: the average payoffs for a regime which rewards innovation fluctuate more but are always higher and the strategy profile is varied. © 2012 Wiley Periodicals, Inc. Complexity, 2012     

Ru-OSO coordination photogenerated at 100 K in tetraammineaqua(sulfur dioxide)ruthenium(II) (±)-camphorsulfonate

The photoinduced O-bound coordination mode in RuSO(2) complexes, previously observed only at 13 K, has been generated at 100 K in tetraammineaqua(sulfur dioxide)ruthenium(II) (±)-camphorsulfonate. This coordination state, often denoted MS1, decays to the η(2)-bound MS2 state, with an estimated half-life of 3.4(8) h and a long-lived population of 2.9(4)% at 120 K.     

Spinning magnetic trap for automated microfluidic assay systems

While sophisticated analyses have been performed using lab-on-chip devices, in most cases the sample preparation is still performed off chip. The global need for easy-to-use, disposable testing devices necessitates that sample processing is automated and that transport complexity between the processing and analytical components is minimal. We describe a complete sample manipulation unit for performing automated target capture, efficient mixing with reagents, and controlled target release in a microfluidic channel, using an array of spinning magnets. The "MagTrap" device consists of 6 pairs of magnets in a rotating wheel, situated immediately beneath the microchannel. Rotation of the wheel in the direction opposite to the continuous flow entraps and concentrates the bead-target complexes and separates them from the original sample matrix. As the wheel rotates and the active pair of magnets moves away from the microchannel, the beads are released and briefly flow downstream before being trapped and pulled upstream by the next pair of magnets. This dynamic and continuous movement of the beads ensures that the full surface area of each bead is exposed to reagents and prevents aggregation. The release of the target-bead complexes for further analysis is facilitated by reversing the rotational direction of the wheel to sweep the beads downstream. Sample processing with the MagTrap was demonstrated for the detection of E. coli in a range of concentrations (1 × 10(3), 1 × 10(4) and 1 × 10(6) cells ml(-1)). Results show that sample processing with the MagTrap outperformed the standard manual protocols, improving the detection capability while simultaneously reducing the processing time.     

Inequalities Involving Superquadratic Functions and Operators

By the use of some integral inequalities containing superquadratic functions, we obtain an inequality which generalizes some previous results. We also present an inequality for positive linear mappings of operators on Hilbert spaces. Some applications and examples are given as well.     

A characterization of mean values for Csiszár’s inequality and applications

We characterize all mean values for Csiszár’s inequality in information theory as well as all mean values for the triangle inequality. Several examples are given as well. Also, as an application, we improve the Cauchy–Schwarz operator inequality.     

Non‐commutative ‐divergence functional

We introduce the non‐commutative f‐divergence functional for an operator convex function f, where and are continuous fields of Hilbert space operators and study its properties. We establish some relations between the perspective of an operator convex function f and the non‐commutative f‐divergence functional. In particular, an operator extension of Csiszár's result regarding f‐divergence functional is presented. As some applications, we establish a refinement of the Choi–Davis–Jensen operator inequality, obtain some unitarily invariant norm inequalities and give some results related to the Kullback–Leibler distance.     

Graphene‐Oxide‐Catalyzed Direct CH−CH‐Type Cross‐Coupling: The Intrinsic Catalytic Activities of Zigzag Edges

The development of graphene oxide (GO)‐based materials for C?C cross‐coupling represents a significant advance in carbocatalysis. Although GO has been used widely in various catalytic reactions, the scope of reactions reported is quite narrow, and the relationships between the type of functional groups present and the specific activity of the GO are not well understood. Herein, we explore CH?CH‐type cross‐coupling of xanthenes with arenes using GO as real carbocatalysts, and not as stoichiometric reactants. Mechanistic studies involving molecular analogues, as well as trapped intermediates, were carried out to probe the active sites, which were traced to quinone‐type functionalities as well as the zigzag edges in GO materials. GO‐catalyzed cross‐dehydrogenative coupling is operationally simple, shows reusability over multiple cycles, can be conducted in air, and exhibits good functional group tolerance.     

Electrochemical impedance sensing of DNA hybridization on conducting polymer film-modified diamond

The impedimetric sensing of DNA hybridization on polyaniline/polyacrylate (PANI/PAA)-modified boron-doped diamond (BDD) electrode has been investigated. An ultrathin film of PANI-PAA copolymer was electropolymerized onto the diamond surfaces to provide carboxylic groups for tethering to DNA sensing probes. The electrochemical impedance and the intrinsic electroactivity of the polymer-diamond interface were analyzed after the hybridization reaction with target and non-target DNA. The impedance measurement shows changes in the impedance modulus as well as electron-transfer resistance at the stage of probe DNA immobilization (single-strand), as well as after hybridization with target DNA (double-strand). DNA hybridization increases the capacitance of the polymer-DNA layer and reduces the overall impedance of the DNA-polymer-diamond stack significantly. The polymer-modified BDD electrode shows no detectable nonspecific adsorption, with good selectivity between the complementary DNA targets and the one-base mismatch targets. The detection limit was measured to be 2 x 10(-8) M at 1000 Hz. Denaturing test on the hybridized probe and subsequent reuse of the probe indicates chemical robustness of the sensor. Our results suggest that electropolymerization followed by the immobilization of biomolecules is a simple and effective way of creating a functional biomolecular scaffold on the diamond surface. In addition, label-free electrochemical impedance method can provide direct and noninvasive sensing of DNA hybridization on BDD.     

Epigraph of operator functions

It is known that a real function f is convex if and only if the set E(f) = {(x, y) ∈ ? × ?; f (x) ≤ y}, the epigraph of f is a convex set in ?². We state an extension of this result for operator convex functions and C^?-convex sets as well as operator log-convex functions and C^?-log-convex sets. Moreover, the C^?-convex hull of a Hermitian matrix has been represented in terms of its eigenvalues.