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Showing 1 to 4 of 4 for “"Natural scaling"”.

  1. Asymptotic description of the formation of black holes from short-pulse data

    … Christodoulou's short-pulse ansatz. We identify natural scaling in a putative solution metric and use the technique of real blowup to propose a desingularized manifold and an associated rescaled tangent bundle (which we call the "short-pulse tangent bundle") on which the putative solution remains …

    mit Repository record for Asymptotic description of the formation of black holes from short-pulse data (opens in a new tab)

  2. Design and implementation of a high performance blockchain system

    … protocol that is designed to achieve a natural scaling of Bitcoin's performance while maintaining its full security guarantees. In prior work, Prism's security and performance properties have been analyzed theoretically, but the analysis relies on a simple network model and specifies …

    mit Repository record for Design and implementation of a high performance blockchain system (opens in a new tab)

  3. Fresnel-focusing and bessel-beam integrated optical phased arrays for optical trapping applications

    … steer light, provide one possible approach to scaling and arbitrary tweezing of optical traps. However, current on-chip optical phased array demonstrations have focused on systems which form and steer beams or project arbitrary radiation patterns in the far field. In this thesis, …

    mit Repository record for Fresnel-focusing and bessel-beam integrated optical phased arrays for optical trapping applications (opens in a new tab)

  4. Modelling calcite dissolution in a rotating disc reaction vessel

    … is ubiquitous in nature, playing a role in many natural and industrial processes. For calcite dissolution, the kinetics and mass transport of the dissolved species reflect both the chemistry of the bulk, and the conditions at the dissolving interface. We formulate the dissolution problem as a set …

    uoit Repository record for Modelling calcite dissolution in a rotating disc reaction vessel (opens in a new tab)