4 мар. 2019 г. · When a matrix is positive definite, it says something very specific about the way that it acts on a particular vector space. Namely, that it ...

22 апр. 2021 г. · Positive definite function is standard but some people also say function of positive type for the same concept. – Kavi Rama Murthy.

3 сент. 2015 г. · The concept is not a natural one for functions that are defined only on a subinterval of R. Its root is in the additive group structure of R, ...

23 июн. 2015 г. · It is easy to generate positive matrices of any order from the Fourier transform of a positive function.

17 нояб. 2013 г. · The question I'm stuck on is as follows: Let f be a positive-definite function. Prove that if f is continuous at 0, then it is continuous everywhere.

2 нояб. 2024 г. · The function f:Rn→R is said to be positive definite if f(x)≥0 and f(x)=0 if and only if x=0. The function f is bounded if there exists an M ...

20 окт. 2015 г. · A bilinear map K:X×X→R is called positive semi-definite, iff we have K(x,x)≥0 for all x∈X. If moreover K(x,x)=0⟺x=0, K is called positive

13 авг. 2011 г. · A positive definite function φ:G→C on a group G is a function that arises as a coefficient of a unitary representation of G.

21 июл. 2015 г. · Definition: A continuous function W(x) is said to be a positive definite function if W(0)=0, and W(x)>0 in Rn and there exists some r>0 such ...

28 июн. 2016 г. · Let A∈Rn×n be positive definite and symmetric. Show that ⟨x,y⟩A:=⟨Ax,y⟩ defines an inner product.