In particular, the unit quaternions (also known as , , or ) form a compact group. We have the cyclic trace property which allows one to take adjoints of left and right multiplication: As are square roots of , we have the usual Euler formulae for real , together with other ...
But even the three I’ve looked at are so interesting that it’s hard for this Libra to choose among them, because at present, I’m solving a curiosity problem and not a real business problem, and relational databases happen to be the right fit for my current projects. Julie Lerman* ...
(MathOverflow users with enough privileges to see deleted answers will find that there are no less than seventeen deleted attempts at a proof in response to this question!) On the other hand, the one surviving response to the question does point out this paper of Poonen which shows that ...
Not many homes are in perfect condition at the time of purchase. Some imperfections may be obvious, like a crack in the tile, while others may have been disclosed to you before the sale by the seller or thehome inspector. The seller may agree to fix some of these issues, ...
What do real educators think about restorative justice in schools? When this topic pops up for debate in ourWe Are Teachers HELPLINEandPrincipal LifeFacebook groups, educators tend to have a lot of opinions about it. Here are some of their thoughts: ...
Despite the widespread recognition of STEM education, there are still several barriers in implementing STEM education in Chinese schools. Some scholars claimed that STEM education is not a meaningful concept, as the STEM contents are already covered in diverse curricula in China such as mathematics, ...
Examples of multiplicative functions that are not completely multiplicative include the Möbius function ; the divisor function (also referred to as ); more generally, the higher order divisor functions for ; the Euler totient function ; the number of roots of a given polynomial defined over ; ...
is not going to resolve all the extant concerns about the need for journal publishing reform, such as those raised in theCost of Knowledge boycott; but I feel that it is important to have some experimentation with different publishing models, to see what alternatives to thestatus quoare ...
Soros’s theory of reflexivity runs counter to the concepts of economicequilibrium,rational expectations, and theefficient market hypothesis. In mainstream economic theory, equilibrium prices are implied by the real economic fundamentals that determinesupply and demand. Changes in economic fundamentals, such...
Organizational behavior theories inform the real-world evaluation and management of groups of people. There are several components: Personality plays a large role in the way a person interacts with groups and produces work. Understanding a candidate's personality, either through tests or through conver...