is symmetric and positive definite (with forming an orthonormal basis). Also, for any , is real, hence equal to . Thus we have a norm Since the real numbers commute with all quaternions, we have the multiplicative property . In particular, the unit quaternions (also known as , , or )...
Let V be an n-dimensional vector space with an ordered basis \beta . Define T: V \to F_n \text{ by } T(x) = [x]\beta . Prove that T is linear. Let A = \begin{bmatrix} 1 & -1 & 2 & 3\\ 1 & 1 & -2 & 6\\ 3 & 1 & 4 & 2 \end{bmatrix} a. Find a basi...
if compromised, could cause significant damage to national security or an organization’s operations. Access to secret data is strictly controlled, and only individuals with appropriate security clearance and a need-to-know basis can access it. ...
When people understand how they can help their business unit "win," you have the basis for a highly productive and motivated workforce. As such, it's important to have a clear definition of the business unit's mission, vision and values. What Is Blue Ocean Strategy? The Blue Ocean Strateg...
I'm trying to connect the calculations for the determinant I'm seeing and the idea that the determinant is a signed measure of the factor by which the volume bounded by the basis vectors of a vector space changes when those basis basis vectors are acted on by a l...
is symmetric and positive definite (with forming an orthonormal basis). Also, for any , is real, hence equal to . Thus we have a norm Since the real numbers commute with all quaternions, we have the multiplicative property . In particular, the unit quaternions (also known as , , or )...
Blitzscaling is a business concept and a book written by Reid Hoffman (LinkedIn Co-founder) and Chris Yeh. At its core, the concept of Blitzscaling is about growing at a rate that is so much faster than your competitors, that make you feel uncomfortable.
However, many people feel lost when it comes to the intricate process of evaluating risks. Admittedly, there is a lot to factor in, with layers and layers of people and processes to consider. That's why the risk assessment matrix is such an important tool. ...
In finite element methods, the conditioning of the stiffness matrices also depends on the sizes and shapes of the elements. This paper explains the mathematical connections between mesh geometry, interpolation errors, and stiffness matrix conditioning. These relationships are expressed by error bounds ...
Advanced glycosylation end products in tissue and the biochemical basis of diabetic complications. Seminars in Medicine of the Beth Israel Hospital, Boston from The New England Journal of Medicine — Advanced Glycosylation End Products in Tissue and the ... M Brownlee,A Cerami,H Vlassara - 《New...