A Preliminary Study of the Training of Drawing Skills for Civil Engineering Majors in Higher Vocational Colleges Under the “1+X” System

Architectural engineering drawing skills are one of the important standards of talent ability that construction enterprises pay attention to.Under the“1+X”system,as a pilot college of“1+X”in higher vocational education,and according to the standards of“Vocational Skill Level Certificate in Architectural Engineering Drawing,”a channel to improve students’core working skills is explored through the implementation of the teaching reform.

Extension of covariant derivative(Ⅲ): From classical gradient to shape gradient

This paper further extends the generalized covari ant derivative from the first covariant derivative to the sec ond one on curved surfaces. Through the linear transforma tion between the first generalized covariant derivative and the second one, the second covariant differential transformation group is set up. Under this transformation group, the sec ond class of differential invariants and integral invariants on curved surfaces is made clear. Besides, the symmetric struc ture of the tensor analysis on curved surfaces are revealed.

BOUNDS FOR SINGULAR INTEGRALS ASSOCIATED WITH A CLASS OF HYPERSURFACES

For the hypersurface Γ=(y,γ(y)), the singular integral operator along Γ is defined by. Kf(x,x_n)=P.V.∫_R^(nl), f(x-y,x_n-γ(y))_(|y|^(n-1))^(Ω(y))dy, where Ω is homogeneous of order 0, ∫_∑_(1)Ω(y')dy'=0, For a certain class of hypersurfaces. T is shown to be bounded on L^p(R^n) provided Ω∈L_α~l(Σ_(n-2)),P>1.

PARALLEL INFORMATION-BASED COMPLEXITY OF NUMERICAL INTEGRATION ON SOBOLEV CLASS W_q^s(Ω)

This paper deals with the parallel information-based complexity of numerical integration on Sobolev class. We obtain tight bounds on the complexity, considered as a function of two variables simultaneously:the number of processors, the rquired precision. This result seems to be new even in serial case.

Invariants for Parallel Mapping

This paper analyzes the geometric quantities that remain unchanged during parallel mapping （i.e., mapping from a reference curved surface to a parallel surface with identical normal direction）. The second gradient operator, the second class of integral theorems, the Gauss-curvature-based integral theorems, and the core property of parallel mapping are used to derive a series of parallel mapping invariants or geometrically conserved quantities. These include not only local mapping invariants but also global mapping invafiants found to exist both in a curved surface and along curves on the curved surface. The parallel mapping invariants are used to identify important transformations between the reference surface and parallel surfaces. These mapping invariants and transformations have potential applications in geometry, physics, biomechanics, and mechanics in which various dynamic processes occur along or between parallel surfaces.

View Creation for Queriesin Object Oriented Databases

A view in object oriented databases corresponds to virtual schemawith restructured generalization and decomposition hierarchies. Numbers of viewcreation methodologies have been proposed. A major drawback of existing method-ologies is that they do not maintain the closure property. That is, the result of aquery does not have the same semantics as embodied in the object oriented datamodel. Therefore, this paper presents a view creation methodology that derives aclass in response to a user's query, integrates derived class in global schema (i.e.,considers the problem of classes moving in class hierarchy) and selects the requiredclasses from global schema to create the view for user's query. Novel idea of viewcreation includes: (a) an object algebra for class derivation and customization (wherethe derived classes in terms of object instances and procedure/methods are studied),(b) maintenance of closure property, and (c) classification algorithm which providesmechanism to deal with the problem of a class moving in a class hierarchy.