Sanju Velani The Shrinking Target Problem for Matrix Transformations of Tori (NT 55:33 Alex Kontorovich Arithmetic Groups and Sphere Packings (NTWS 080) 51:56 Boris Adamczewski Furstenberg's conjecture, Mahler's method, and finite automata 53:12 János Pintz On the mean value of the remain...
Also, the fact that are dual to with respect to some unspecified Riemannian metric turns out to essentially be equivalent to the assumption that the Gram matrix is positive definite, see Section 4 of the aforementioned paper. This looks like a rather strange system; but it is three vector ...
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 )...
A matrix is positive definiteif it's symmetric and all its eigenvalues are positive. The thing is, there are a lot of other equivalent ways to define a positive definite matrix. One equivalent definition can be derived using the fact that for a symmetric matrix the signs of the pivots are ...
Positive semi-definite matrixThe Markowitz critical line method for mean鈥搗ariance portfolio construction has remained highly influential today, since its introduction to the finance world six decades ago. The Markowitz algorithm is so versatile and computationally efficient that it can accommodate any ...
Interaction analytics is the term used to describe turning the qualitative, unstructured data of customer interactions into quantitative metrics that can be measured in definite terms. The benefit here is in learning what’s working and where things need to improve. Every time a customer interacts ...
Why reprex? Getting unstuck is hard. Your first step here is usually to create a reprex, or reproducible example. The goal of a reprex is to package your code, and information about your problem so that others can run it…
What do you mean by IQ? An IQ score above 140 Indicates genius or nearly genius. An IQ (intelligence quotient) test is a standardized method to know the mental ability of a person, usually against a peer group. IQ scores between 90 and 109 indicate normal or average intelligence. IQ rema...
Also, the fact that are dual to with respect to some unspecified Riemannian metric turns out to essentially be equivalent to the assumption that the Gram matrix is positive definite, see Section 4 of the aforementioned paper. This looks like a rather strange system; but it is three vector ...
“an implementation of SVD based on the power method, which is a truncated singular values and singular vectors estimation method.” Researchers demonstrate the “distributed out of core SVD algorithm to successfully decompose dense matrix of size 1TB and sparse matrix of size 128 PB with 1e-6...