منابع مشابه
Building Bricks with Bricks, with Mathematica
In this work we solve a special case of the problem of building an n-dimensional parallelepiped using a given set of n-dimensional parallelepipeds. Consider the identity x = xHx 1L Hx 2L + 3 xHx 1L + x. For sufficiently large x, we associate with x3 a cube with edges of size x, with x Hx 1L Hx 2L a parallelepiped with edges x, x 1, x 2, with 3 x Hx 1L three parallelepipeds of edges x, x 1, 1, a...
متن کاملMinimal bricks
A brick is a 3-connected graph such that the graph obtained from it by deleting any two distinct vertices has a perfect matching. A brick is minimal if for every edge e the deletion of e results in a graph that is not a brick. We prove a generation theorem for minimal bricks and two corollaries: (1) for n ≥ 5, every minimal brick on 2n vertices has at most 5n − 7 edges, and (2) every minimal br...
متن کاملMOOCs and Beyond
Massive Open Online Courses (MOOCs) might be the proverbial “tipping point” in discussions about the role of information and communication technologies in higher education. To some they offer dramatic cost savings without loss in quality; to others they are best described as MESS (Massive Extension of Sage on the Stage). If the history of IS is any guide, MOOCs portend dramatic changes over tim...
متن کاملGenerating bricks
A brick is a 3-connected graph such that the graph obtained from it by deleting any two distinct vertices has a perfect matching. Bricks are building blocks of the matching decomposition procedure of Kotzig, Lovasz and Plummer, and therefore many matching-related problems can be reduced to bricks. We prove, roughly, that every brick other than the Petersen graph can be generated from a “matchin...
متن کاملBricks for Reactive Programming
A fundamental unit of computation is introduced for reactive programming called the LEGO R © brick. It is targeted for domains in which JavaScript runs in an attempt to allow a user to build a trustworthy reactive program on demand rather than try to analyze JavaScript. A formal definition is given for snapping bricks together based on the standard product construction for deterministic finite ...
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ژورنال
عنوان ژورنال: Science
سال: 2013
ISSN: 0036-8075,1095-9203
DOI: 10.1126/science.1246943