MathOverflow

Definition: Matrix $A \in \mathbb{R}^{d \times d}$ is called a P-matrix if all its principal minors are positive. It is well known that if $A$ is a P-matrix, then for all strictly positive diagonal matrices $D \succ 0 $, the eigen spectrum $\sigma(DA...

In many analysis or multivariable calculus textbooks, one's first encounter with the change of variables theorem has the form
$$\int_V f = \int_U (f\circ \phi) |Det(\phi')|$$
where $\phi : U \to V$ is a diffeomorphism.

I am investigating the numerical consistency of a specific exponent p within a refined abc conjecture inequality of the form:rad(abc)^(1+p) >= cBased on a framework linking number theory to fundamental constants (reference: Zenodo DOI 10.5281/zenodo...

Disclaimer: In here, anticyclotomic extension (of CM-field $k_0$) is slightly different with anticyclotomic extension of imaginary quadratic field, but core is exactly the same: $k_0\subset k_1\subset\cdots\subset k_\infty$ is tower with $\operatorname...