Topics in Quaternion Linear Algebra

2014 ◽  
Author(s):  
Leiba Rodman
Keyword(s):  
Linear Algebra ◽  
Complex Analysis ◽  
Dimensional Space ◽  
Applied Mathematics ◽  
Three Dimensional ◽  
Number System ◽  
Graduate Course ◽  
Open Problems ◽  
Unpublished Research ◽  
Reference Tool

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used.

AUTMINER: A SYSTEM FOR EXTRACTING ASD-RELATED GENES USING TEXT MINING

2011 ◽  
Vol 19 (01) ◽  
pp. 113-125 ◽  
Author(s):  
LEJUN GONG ◽  
XIAO SUN ◽  
DONGKE JIANG ◽  
SHENGTAO GONG
Keyword(s):  
Autism Spectrum Disorders ◽  
Text Mining ◽  
Genetic Screening ◽  
Gene Network ◽  
Developmental Disorders ◽  
Autism Spectrum ◽  
Major Focus ◽  
Genetic Complexity ◽  
Spectrum Disorders ◽  
Reference Tool

Autism spectrum disorders (ASD) represent a group of developmental disorders with strong genetic underpinnings. To explore the genetic complexity of ASD, we developed AutMiner (), a public web-portal for the collection of genes linked to ASD, and the implementation of an autism-centre network. AutMiner extracts candidate genes associated with ASD using text mining from 9276 abstracts. Compared to other recent systems, gene entries are richer to provide a reference for clinical geneticists. AutMiner also constructs ASD-related network consisting of autism-gene network and gene-gene network. To the best of our knowledge, this is the first web example of ASD-related network. The major focus of AutMiner is to offer a valuable reference tool for clinical geneticists in establishing and implementing effective genetic screening programmes for those patients with ASD.

scholarly journals What Future for Traditional Encyclopedias in the Age of Wikipedia?

2014 ◽  
Vol 6 (3) ◽  
pp. 641-646 ◽  
Author(s):  
Michael Upshall
Keyword(s):  
General Purpose ◽  
The Internet ◽  
Balanced Structure ◽  
Reference Tool

The launch and rapid domination of Wikipedia as a reference tool for the Internet was as dramatic as it was unexpected. Wikipedia broke so many of the rules of reference publishing, which, even if not formally codified, had been widely accepted for many years: the use of (usually named) authorities as expert contributors, and the presence of moderating editors to ensure balanced structure. All this appeared to have been swept away with Wikipedia, and, not least because Wikipedia content is given away rather than sold, the competition between Wikipedia and most general-purpose encyclopedias was a sad and rather one-sided affair. One by one the existing commercial print general encyclopedias admitted defeat; among the latest is Brockhaus, the leading German encyclopedia brand, which ended publication early in 2013.

scholarly journals Creating a traditional reference tool in the Age of Electronics

2020 ◽  
Vol 48 (11) ◽  
pp. 679-683
Author(s):  
Antoinette Paris Powell
Keyword(s):  
Reference Tool

Beyond Textbooks

2019 ◽  
pp. 182-200 ◽  
Author(s):  
Lesley S. J. Farmer
Keyword(s):  
Teaching And Learning ◽  
Online Courses ◽  
Cost Effective ◽  
Open Educational Resources ◽  
Educational Resources ◽  
Academic Needs ◽  
Online Instructors ◽  
Starting Point ◽  
Good Starting Point ◽  
Reference Tool

Textbooks can serve as a good starting point for learning concepts or serve as a reinforcing reference tool for students. However, to address the various academic needs of students, as well as to affirm the richness and depth of the knowledge, skills, and dispositions in online courses, online instructors should complement and supplement textbooks with other resources in various formats. Education has a growing need for digital resources, starting with digital textbooks, and expanding to other kinds of educational resources. Open educational resources, in particular, provide cost-effective and flexible tools for teaching and learning.

Sign in / Sign up

Export Citation Format

Share Document