Multiple change-points estimation of moving-average processes under dependence assumptions

In this paper, some results of convergence for a least-square estimator in the problem of multiple change-points estimation are presented and the moving-average processes of ρ-mixing sequence in the mean shifts are discussed. When the number of change points is known, the consistency of change-points estimator is derived. When the number of changes is unknown, the consistency of the change-points number and the change-points estimator by penalized least-squares method are obtained. The results are also true for φ-mixing, α-mixing, associated and negative associated sequences under suitable conditions.     

Strong Law of Large Numbers and Complete Convergence for Sequences of φ-Mixing Random Var, ables

We give some theorems of strong law of large numbers and complete convergence for sequences of φ-mixing random variables. In particular, Wittmann＇s strong law of large numbers and Teicher＇s strong law of large nnumbers for independent random variables are generalized to the case of φ -minxing random variables.     

EFFICIENCY OF INVOLUTE GEAR DRIVES WITH UNDERCUT PINIONS USED IN WRIST WATCHES

In wrist watches gear drives with undercut pinions are used. Those pinions have got a tooth number as few as 5—7. The efficiency of such gear drives is important because of the limited energy supply. The mean efficiency of gear drives can be expressed as E_m=1/(φ_2-φ_1)(integral from φ_1 to φ_2(E(φ)dφ)) in which ~0_1, ~_2 are the approach angle and the recess angle respectively. In the discussion we assume that the friction coefficient between the two tooth flanks is constant because the sliding speed is relatively low in wrist watches and the main purpose is to find out the relation between gear parameters and its efficiency rather than to calculate the exact value of the efficiency. In normal conditions ~o_1 and ~o_2 can be found from the gear geometry without much difficulty. However when the pinion is an undercut one we have to first find the forming diameter where the involute profile starts. In this paper equations for the computation of the efficiency and the contact ratio of those gear drives are discussed.     

A THEOREM ON THE CONVEXITY OF PLANAR FERGUSON CURVES OF DEGREE n

The main result of this paper is a theorem about the convexity of Ferguson curves of degree n on a plane, As its application, We have obtained a Sufficient Condition that Convex Curves of Degree n in E~3 have no singularity or Staying points.     

One-Dimensional Simulation of the Pressure Wave near the Exit of a High-Speed Train Tunnel

IntroductionThe micro pressure waves generated by high- speedtrains entering tunnels have caused manyenvironmental problems in recent years. Manystudies have been carried outon the generation andpropagation of micro pressure waves. When alocomotive enters the tunnel,a compression waveis formed,distorting and attenuating as itpropagates with the speed of sound.If the tunnelis a slab track tunnel and is long enough,the wavewill eventually form a weak shock wave. Theemission of the shock wave fr…     

Functional limit theorem for moving average processes generated by dependent random variables

Let ｛Xt,t≥1｝ be a moving average process defined by Xt=∑∞j=0bjξt-j, where ｛bj,j≥0｝ is a sequence of real numbers and ｛ξt,-∞＜t＜∞｝ is a doubly infinite sequence of strictly stationary ?-mixing random variables. Under conditions on ｛bj,j≥0｝ which entail that ｛Xt,t≥1｝ is either a long memory process or a linear process, we study asymptotics of Sn(s)=∑［ns］t=1Xt (properly normalized). When ｛Xt,t≥1｝ is a long memory process, we establish a functional limit theorem. When ｛Xt,t≥1｝ is a linear process, we not only obtain the multi-dimensional weak convergence for ｛Xt,t≥1｝, but also weaken the moment condition on ｛ξt,-∞＜t＜∞｝ and the restriction on ｛bj,j≥0｝. Finally, we give some applications of our results.     

Complete convergence for (α,β)-mixing random variables sequences

The convergence properties are studied through the analysis of (α,β)-mixing random variables sequences in different situations. By using the corresponding inequality, a convergence theorem was presented, and some results for (α,β)-mixing random variables sequences with different distributions were obtained. The results extend the corresponding theorems of independent random variable sequences.     

ON THE COMPOUND BOUNDARY PROBLEM FOR DOUBLY-PERIOD WITH SHIFT

In this paper, we will discuss a kind of the compound boundary problem for doubly-period-Haseman-Carleman boundary Problem Rm with doubly-period (simply called H-C Problem Rm) :To find a doubly-periodic function φ(z) analytic in S~+ and S~- except z=0 (including the union of z= 0 with periods 2ω_1, 2ω_2) and φ(z) may have m order of singularity at z= 0, which satisfies the follow-ing boundary condition:where a(t) is sense-preserving homeomorphic mapping on L_1 and α′(t)≠0,α′(t)∈H(L_1), α(t+2n_1ω_1+     

NUMERICAL EVALUATION OF THE PRINTABILITY OF PAPER SURFACES

INTRODUCTIONPrevious papers (1 & 2) have shown that the final print quality of a sheet of paper is dependent on the surface density variations of the sheet, which in turn directly affects the absorption of the printing ink into the sheet. Using the Image Analysis techniques (3) devised for measuring density differences of the sheet, a computer program was developed in which these numbers could be used to simulate the absorption rate of printing ink into the sheet, corresponding to the mic…     

Weak smash products, weak braided products and weak Hopf quantum Yang-Baxter modules

This paper mainly gives a sufficient and necessary condition for weak smash products of weak dimodule algebras to be weak bialgebras, and gives a sufficient and necessary condition for weak braided products of weak quantum Yang-Baxter module algebras to be weak bialgebras, and gives a Fundamental Theorem of weak Hopf quantum Yang-Baxter modules.     

BALANCING TORQUE OF SINGLES COTTON ROTOR YARNS

This paper reports a recent development of a yarn modification process to produce torque balanced singles spun yarns. Taking advantages of the core-sheath structure of unconventional spun yarns, we have developed a yarn modification process and applied it to singles yarns spun by rotor spinning. Torque free singles yarns have been produced from 100% cotton fibers. The spirality of resultant single jersey knit fabrics has been greatly reduced or, in some cases, completely eliminated. Properties and performance characteristics of both parent and modified yarns as well as their resultant fabrics have been evaluated including the yarn tensile properties, surface properties, handle, air permeability, burst strength, and pilling resistance of the fabrics.     

Photoelectric Responses of Stainless Steel to Monochromatic Light

Photoelectric responses of unpretreated 1Cr18Ni9Ti stainless steel immersed insolution are quite weak aud difficult to detect. Photoresponses of such stainless steelto polychromatic light over the visible range of radiation have been detected quanti-tatively, for the first time, by the present authors using signal averaging techni-que. More information may be acquired with monochromatic light excitation. How-ever, photoresponses to monochromatic light are decreased by a factor of 300 com-     

ONLINE CHARGE MEASUREMENTS ENABLES PROCESS OPTIMIZATION AND AUTOMATIC CONTROL OF FIXATIVE DOSAGES

1.INTRODUCTIONFor two decades, electric charges have been a vital parameter for quality monitoring of pulp suspensions. Most mill laboratories conduct charge measurements as a daily routine that is considered basic to quality assurance.Although online charge measuring systems have been commercially available for some 15 years now, just a few hundred systems are currently installed in paper mills worldwide. Out of these, no more than 10 % are applied for automatic control of additive dosag…     

THE INFLUENCE OF DRAWING CONDITIONS OF PET POY ON STRUCTURE AND PROPERTY OF THE FIBER

Drawing tests upon PET POY have been made by using dynamic thermal stress analyser,which show that the dynamic thermal stress of fiber is readily affected by drawing conditions. Aseries of samples have been obtained under different drawing velocities, drawing temperatures anddraw ratios. The variations of structural factors of fiber such as the orientation, crystallinity,crystallite size and the thermal shrinkage have been measured. It is proved through experimentsthat the thermal shrinkage(Y) of the drawn fiber of PET POY is influenced by the orientation (rep-resented by sonic velocity x_1) and crystallinity (x_2) of the fiber. The quantitative relationship is es-tablished using the binary regression method: Y=10.2246+2.2030x_1-26.2670x_2 The mechanical properties such as tenacity, elongation, yield stress, initial modulus and the te-nacity at 10% elongation, etc. have also been measured. The relations between the tenacity at 10%elongation (D) and drawing velocity(V), draw ratio (DR), drawing temperature (T), and sonic ve-locity and crystallinity have been obtained using a method of mathematical statistics: D=4.594-0.009 6V , D=-8.937+7.170DR, D=2.866+0.00629T, D=-7.34+2.866x_1+6.314x_2 These equations fit well with data from the experiments. This work will be benefical to the control of quality of products and the development of newproducts.     

THE EFFECTS OF ULTRA DRAWING ON THE CRYSTAL STRUCTURE OF GEL SPUN POLYETHYLENE FIBERS

It is believed that gel spun polyethylene(PE)fibers have a somewhat extended chain crystalstructure,because of the disentangling of the chains which takes place in semi-dilute solutionand the ultra high draw ratio used.Ten years ago,PE shish-kebabs grown from dilute solutionwere proved to have extended chain backbone which causes the raising of its melting point.These crystals were found to have a triclinic crystal phase,This study shows a different result forgel spun ultra high drawn PE fiber.The unit cell remains orthorhombic even if the draw ratioreaches 50;as the draw ratio increases,the length in a and b axes are shortened while that in c ax-is changes quite insignificantly.When the draw ratio is over 10,two endothermic melting peakscan be seen in the DSC curves with corresponding peak temperature of 136.7-145.3℃.The lat-ter peak is attributed to the amount of extended chain crystal.     

Impact analysis and control of weak intercalation on fly rock

The cause and mechanism of fly rock in geological condition of weak intercalation are analyzed. Ac- cording to the features of fly rock caused by weak intercalation, the differences of fly rock caused in weak inter- calation and general condition are distinguished. Specific to complicated circumstance of weak intercalation and town, the control measures of fly rock are given. With project examples, the control measures are scientific and rational, and have important project value.     

SYNTHESES OF PHOTOCHROMIC PIGMENTS

Photochromism is a phenomenon that a compound undergoes a reversible color change with the change of the wavelength of the irradiating light. Many photochromic compounds have been used in textiles as photochromic pigments.In this paper, some special techniques are used to prepare a photochromic compound of spirooxazines with an improved yield. Another photochromic spirooxazine with a sulfonate group which is soluble in water is also successfully synthesized. Tests are also conducted to find that they both display good photochromism in proper states.     

OPTIMIZATION OF THE METHOD OF SELECTING THE TOOTH NUMBER SERIES IN A SET OF CHANGE GEARS Part Ⅱ The Rules for Permuting the DBL’s of the First Order and Their Intercalated Sets

The problem in practice of determining the proper combination of Z_i in a set of changegears may be abstracted to the problem of finding the proper combination and permutation ofthe elements a_(i,i+1) of the set A_1 to give maximum M-d. Some results to find optimal combina-tions of the elements of the set A_1 have been reported in part I. In this part, some rules forpermuting these elements are introduced. By means of these rules, three kinds of intercalated setsof A_1 have been found, namely: (1) Sets with an even left wing, (2) Sets with coincidence of bothwings, and (3) Sets with circulated elements.     

A STRUCTURAL ANALYSIS OF THREE-DIMENSIONAL BRAIDS

This paper describes a study of three-dimensional braids produced by a four-step 1 × 1 method. An analytical approach is employed in conjunction with experimental investigations to establish the relationship between the braid structure and braiding parameters. Based on microscopic observations, we divide a three-dimensional braid structure into three representative regions, i.e., the interior, surface and corner, and treat the three regions, respectively. Three types of microstructural unit-cell models are then established. The surface characteristics and the relationship between the interior and surface unit-cells have been derived. Good agreement has been obtained between the calculated and measured values of fiber volume fraction of the braided composite samples.