6 papers
A novel weighting scheme for random -SAT
Zongsheng Gao, Jun Liu, Ke Xu
Consider a random -CNF formula with variables and clauses. For every truth assignment and every clause $c=\ell_{1}\vee\cdots\vee\ell_…
A sufficient condition on operator order for strictly positive operators
Jian Shi, Zongsheng Gao
Let , , , be strictly positive operators on a Hilbert space. This note is to show a sufficient condition of $A_{k}\geq A_{k-1}\geq\geq A_{3}\geq A_{2}\ge…
Characterizations of operator order for k strictly positive operators
Jian Shi, Zongsheng Gao
Let be bounded linear operators on a Hilbert space. This paper aims to show characterizations of operator order $A_{k}\geq A_{k-1}\geq...\geq A_{2}\geq A_…
Further development of positive semidefinite solutions of the operator equation
Jian Shi, Zongsheng Gao
In \cite{Positive semidefinite solutions}, T. Furuta discusses the existence of positive semidefinite solutions of the operator equation . In this…
Operator inequalities dealing with operator equations
Jian Shi, Zongsheng Gao
In this paper, we study the existence of solutions of some kinds of operator equations via operator inequalities. First, we investigate characterizations of operator order $A\geqsl…
The Second Main Theorem Concerning Small Algebroid Functions
Daochun Sun, Zongsheng Gao, Huifang Liu
In this paper, we firstly give the definition of meromorphic function element and algebroid mapping. We also construct the algebroid function family in which the arithmetic, differ…