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WebThis note pursues the techniques of [Graber-Kock-Pandharipande] to give concise solutions to the characteristic number problem of rational curves in P 2 or P 1 × P 1 with a cusp or a prescribed triple contact. The classes of such loci are computed in terms of modified psi classes, diagonal classes, and certain codimension-2 boundary classes. WebJul 14, 2024 · Make sure you download the correct Mac version from the portal. I see two in my portal; you want Mathematica_12.3.1_MAC-ARM_DLM.dmg (download manager) or Mathematica_12.3.1_MAC-ARM.dmg (full installer). The Download File Information dialog will indicate Platform: macOS for Apple Silicon. Share Improve this answer Follow edited … WebPolymorphic functions are functions that can handle several different types of arguments. We look at ways of implementing such functions. First we present three LISP-like implementations using dispatch tables, data-driven programming, and message passing. Then we look at various ways of implementing objects, that is, data elements that have ... signing bonus agreement philippines