78,400 research outputs found
A universal solution
The phenomenon of an implicit function which solves a large set of second
order partial differential equations obtainable from a variational principle is
explicated by the introduction of a class of universal solutions to the
equations derivable from an arbitrary Lagrangian which is homogeneous of weight
one in the field derivatives. This result is extended to many fields. The
imposition of Lorentz invariance makes such Lagrangians unique, and equivalent
to the Companion Lagrangians introduced in [baker].Comment: arxiv version is already officia
Confronting The Challenge Of Information Literacy
Confronting the challenges to any academic institution posed by the revolution in information resources since the appearance of the Internet can be a daunting task. Providing the financial and human resources required to provide reliable and secure access can alone be a major hurdle. The specialized equipment needed to effectively incorporate the new resources into student learning environments present an additional burden. The need to collaboratively manage the systems and adapt staffing patterns to the new resources can challenge the skills of the best administrators. The patterns of information seeking behavior exhibited by students in today\u27s richly diverse information environment can frustrate the assumptions that both faculty and librarian have long held about the research process. For those colleges who have made significant strides in addressing these challenges the last one may be the most important from a pedagogical perspective
A Rubric of Shared Leadership: “Revolutions are no trifles”
In a letter reflecting back on the heady times of revolt against the tyranny of England, John Adams makes the observation that “revolutions are no trifles.”1 Adams and other founders of the new republic knew full well the seriousness of declaring independence and setting out on a new course of governance for the colonies. While that is true on the macro level of geo-politics it is also true on the micro level of organizational culture. Embarking on a dramatic change in social structure, whether great or small, ought not to be taken lightly. Thorough planning and careful execution are important ingredients in successful revolutions. However, the essential ingredient is leadership that is passionate about the change
A note on the concordance of fibered knots
Either fibered knots supporting the tight contact structure are unique in
their smooth concordance class or there exists a fibered counterexample to the
Slice-Ribbon Conjecture.Comment: Accepted for publication by the Journal of Topolog
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