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Caltech Authors
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  • Low-Temperature N2 Binding to Two-Coordinate L_2Fe^0 Enables Reductive Trapping of L_2FeN_2^- and NH_3 Generation

    Ung, Gaël; Peters, Jonas C. (2015)
    The two-coordinate [(CAAC)_2Fe] complex [CAAC=cyclic (alkyl)(amino)carbene] binds dinitrogen at low temperature (T

    Configuration Flatness of Lagrangian Systems Underactuated by One Control

    Rathinam, Muruhan; Murray, Richard M. (1996)
    Lagrangian control systems that are differentially flat with flat outputs that only depend on configuration variables are said to be configuration flat. We provide a complete characterisation of configuration flatness for systems with $n$ degrees of freedom and $n-1$ controls whose range of control forces only depends on configuration and whose Lagrangian has the form of kinetic energy minus potential. The method presented allows us to determine if such a system is con...

    Scheduling in polling systems

    Wierman, Adam; Winands, Erik M.M.; Boxma, Onno J. (2007)
    We present a simple mean value analysis (MVA) framework for analyzing the effect of scheduling within queues in classical asymmetric polling systems with gated or exhaustive service. Scheduling in polling systems finds many applications in computer and communication systems. Our framework leads not only to unification but also to extension of the literature studying scheduling in polling systems. It illustrates that a large class of scheduling policies behaves similarly in the exhaustive poll...

    Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains

    Marsden, Jerrold E.; Shkoller, Steve (2001)
    We prove the global well–posedness and regularity of the (isotropic) Lagrangian averaged Navier–Stokes (LANS–α) equations on a three–dimensional bounded domain with a smooth boundary with no–slip boundary conditions for initial data in the set {u ∈ H^s ∩ H^1_0| Au = 0 on ∂Ω, div u = 0}, s ∈ [3, 5), where A is the Stokes operator. As with the Navier–Stokes equations, one has parabolic–type regularity; that is, the solutions instantaneously become space–time smooth when the forcing is smooth (o...

    Click chemistry surface functionalization for resonant micro-cavity sensors

    Armani, Andrea M.; Alabi, Akinleye C.; Davis, Mark E.; Flagan, Richard C.; Fraser, Scott E. (2015)
    Micro-cavity resonant sensors have outer surfaces that are functionalized using click chemistry, e.g., involving a cycloaddition reaction of an alkyne functional group and an azide functional group. A first polymer linking element binds to an outer surface of the micro-cavity and has an azide functional group, which bonds to an alkyne functional group of a second polymer linking element as a result of a cycloaddition reaction. A functionalization element such as an antibody, antigen or protei...
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