Lattice
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People Strategy
The Wall Street Journal bestseller! Learn to unlock the potential of your employees and colleagues with this definitive resource for people management People Strategy: How to Invest in People and Make Culture Your Competitive Advantage provides readers with a powerful framework in which to develop high-performing teams, increase employee motivation, and use data to build an inviting and effective company culture. Author Jack Altman, cofounder and CEO of Lattice, an award-winning HR and performance management platform, shows you how to: Establish the values that will form the bedrock of your organization Develop feedback processes that help employees feel heard, supported, and equipped to succeed Monitor the breadth and depth of employee engagement in your company Use the data and insights created by your People Strategy to drive business results Perfect for executives, managers, and human resource professionals, People Strategy also belongs on the bookshelves of anyone with even an interest in how to develop, nurture, and unlock the potential of their employees and colleagues.
Sphere Packings, Lattices and Groups
Author: John Conway
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-06-29
We now apply the algorithm above to find the 121 orbits of norm -2 vectors from the (known) nann 0 vectors, and then apply it again to find the 665 orbits of nann -4 vectors from the vectors of nann 0 and -2. The neighbors of a strictly 24 dimensional odd unimodular lattice can be found as follows. If a norm -4 vector v E II . corresponds to the sum 25 1 of a strictly 24 dimensional odd unimodular lattice A and a !-dimensional lattice, then there are exactly two nonn-0 vectors of ll25,1 having inner product -2 with v, and these nann 0 vectors correspond to the two even neighbors of A. The enumeration of the odd 24-dimensional lattices. Figure 17.1 shows the neighborhood graph for the Niemeier lattices, which has a node for each Niemeier lattice. If A and B are neighboring Niemeier lattices, there are three integral lattices containing A n B, namely A, B, and an odd unimodular lattice C (cf. [Kne4]). An edge is drawn between nodes A and B in Fig. 17.1 for each strictly 24-dimensional unimodular lattice arising in this way. Thus there is a one-to-one correspondence between the strictly 24-dimensional odd unimodular lattices and the edges of our neighborhood graph. The 156 lattices are shown in Table 17 .I. Figure I 7. I also shows the corresponding graphs for dimensions 8 and 16.
Lattices with Unique Complements
Author: Vi_acheslav Nikolaevich Sali_
language: en
Publisher: American Mathematical Soc.
Release Date: 1988-12-31
The class of uniquely complemented lattices properly contains all Boolean lattices. However, no explicit example of a non-Boolean lattice of this class has been found. In addition, the question of whether this class contains any complete non-Boolean lattices remains unanswered. This book focuses on these classical problems of lattice theory and the various attempts to solve them. Requiring no specialized knowledge, the book is directed at researchers and students interested in general algebra and mathematical logic.