Machining parameter selection and tolerance specification for raw materials, machine tools and fixtures directly affect product geometric quality and system productivity. However, there currently exists no integrated method for analyzing these variables for machining systems. This paper presents a methodology for simultaneously selecting optimal machining process parameters and tolerance specif...

Let Ai and Bi be positive definite matrices for all i=1,…,m. It is shown that|||∑i=1m(Ai2♯Bi2)r|||≤|||((∑i=1mAi)rp2(∑i=1mBi)rp(∑i=1mAi)rp2)1p|||, unitarily invariant norms, where p>0 r≥1 such that rp≥1. This gives an affirmative answer to a conjecture posed by Dinh, Ahsani Tam. The preceding inequality directly leads recent result of Audenaert in 2015.

In this paper we introduce the Drazin geometric quasi-mean AdO?B = ||BAd|?A|2 for bounded conditional operator A and B in L2(?), where has closed range ? 0. addition, discuss some measure theoretic characterizations operators classes. Moreover, practical examples are provided to illustrate obtained results.