This article gives the definition of the order difference on a lattice,studies the properties anddiscusses the existential propositions of the order difference on a lattice.

On Disparities in Enforcement of Reader s Rights;

When residual GM(1,1) model does not match requisition,we can make use of the residual sequence which establishes GM(1,1) model to modify primary model,to raise the accuracy.

In this paper, a method of process quality diagnosis using hypothesis testing for residual sequence of ARMA innovation model estimation error by recursive maximum likelihood method was studied.

This paper,uses the property of being uniformly integrable to truncate the random variable sequences,and under the condition of φ(x)x↑,φ(x)x2↓,obtain a weak law of large number of martingale difference sequences by the weak convergence theorem.

We use least squares and least neighhor weight function to define the estimations and (t) for parametric β and nonparametric g(t) of semiparametric regression model, and obtain their r th mean consistency under martingale difference sequences.

Positively associated random variables (PA) and Martingale difference sequences arevery important cases in the dependent random variables.

The method of direction observation in rounds has been adopted to observe horizontal angles and measure distances to and fro,and the measuring engineering control method as well as integrated measuring data has been utilized to process the net adjustment system of the automatic system,so as to carry out calculation of net adjustment for coordinates and ensure that measuring .