logarithmic norm is a real-valued functional on operators, and is derived from either an inner product, a vector norm, or its induced operator norm....

{1}{\sqrt {m}}}\|A\|_{1}\leq \|A\|_{2}\leq {\sqrt {n}}\|A\|_{1}.} Dual norm Logarithmic norm The condition only applies when the product is defined, such as...

Richter scale of earthquake intensity. Logarithmic magnitudes can be negative. In the natural sciences, a logarithmic magnitude is typically referred to as...

In mathematics, logarithmic Sobolev inequalities are a class of inequalities involving the norm of a function f, its logarithm, and its gradient ∇ f {\displaystyle...

P(\rho )} is an arbitrary LOCC operation over ρ {\displaystyle \rho } The logarithmic negativity is an entanglement measure which is easily computable and...

Stochastic Gronwall inequality Logarithmic norm, for a version of Gronwall's lemma that gives upper and lower bounds to the norm of the state transition matrix...

f ( x ^ ) = 0 {\displaystyle f({\hat {x}})=0} . If there exists a logarithmic norm μ {\displaystyle \mu } such that the Jacobian J ( x ) = D x f {\displaystyle...

usually marked with an "A" for logarithmic taper or a "B" for linear taper; "C" for the rarely seen reverse logarithmic taper. Others, particularly those...

Hörmander as his advisors. As part of this work he introduced the logarithmic norm (also introduced by Russian mathematician Sergei Lozinskii the same...

other more complex definitions of strain are required, such as stretch, logarithmic strain, Green strain, and Almansi strain. Engineering strain, also known...