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排序方式: 共有106条查询结果,搜索用时 15 毫秒
31.
Jan Mandel 《Mathematical Programming》1984,30(2):218-228
The relaxation method for linear inequalities is studied and new bounds on convergence obtained. An asymptotically tight estimate
is given for the case when the inequalities are processed in a cyclical order. An improvement of the estimate by an order
of magnitude takes place if strong underrelaxation is used. Bounds on convergence usually involve the so-called condition
number of a system of linear inequalities, which we estimate in terms of their coefficient matrix.
Paper presented at the XI. International Symposium on Mathematical Programming, Bonn, August 23–27, 1982. 相似文献
32.
The optimal critical claim size of a bonus system determines whether to file a claim with the insurance company after having an accident. The aim of this paper is to demonstrate, within the framework of a simple model, how bounds for the optimal critical claim size can be constructed when only incomplete information on the claim amount distribution is available. 相似文献
33.
A set S of vertices in a graph G is a paired-dominating set of G if every vertex of G is adjacent to some vertex in S and if the subgraph induced by S contains a perfect matching. The paired-domination number of G, denoted by , is the minimum cardinality of a paired-dominating set of G. In [1], the authors gave tight bounds for paired-dominating sets of generalized claw-free graphs. Yet, the critical cases
are not claws but subdivided stars. We here give a bound for graphs containing no induced P
5, which seems to be the critical case. 相似文献
34.
We derive upper and lower bounds for the torsional rigidity of cylindrical shafts with arbitrary cross-section containing
a number of fibers with circular cross-section. Each fiber may have different constituent materials with different radius.
At the interfaces between the fibers and the host matrix two kinds of imperfect interfaces are considered: one which models
a thin interphase of low shear modulus and one which models a thin interphase of high shear modulus. Both types of interface
will be characterized by an interface parameter which measures the stiffness of the interface. The exact expressions for the
upper and lower bounds of the composite shaft depend on the constituent shear moduli, the absolute sizes and locations of
the fibers, interface parameters, and the cross-sectional shape of the host shaft. Simplified expressions are also deduced
for shafts with perfect bonding interfaces and for shafts with circular cross-section. The effects of the imperfect bonding
are illustrated for a circular shaft containing a non-centered fiber. We find that when an additional constraint between the
constituent properties of the phases is fulfilled for circular shafts, the upper and lower bounds will coincide. In the latter
situation, the fibers are neutral inclusions under torsion and the bounds recover the previously known exact torsional rigidity.
相似文献
35.
Michael J. Todd 《Mathematical Programming》1982,23(1):34-49
Special methods for dealing with constraints of the formx
j
x
k
, called variable upper bounds, were introduced by Schrage. Here we describe a method that circumvents the massive degeneracy inherent in these constraints and show how it can be implemented using triangular basis factorizations.This research was partially supported by National Science Foundation Grant ECS-7921279 and by a Guggenheim fellowship. 相似文献
36.
Michael Bastian 《Mathematical Programming》1984,30(3):357-361
A constraint of a linear program is called a generalized variable upper bound (GVUB) constraint, if the right-hand is nonnegative
and each variable with a positive coefficient in the constraint does not have a nonzero coefficient in any other GVUB constraint.
Schrage has shown how to handle GVUB constraints implicitly in the simplex-method. It is demonstrated in this paper that the
Forrest-Tomlin data structure may be used for the inverse of the working basis, and it is discussed how to update this representation
from iteration to iteration. 相似文献
37.
Near-optimal controls are considered for singular problems with a constrained control. These controls result in a higher cost than the optimal cost. Bounds for the additional cost are derived for problems with fixed terminal time or free terminal time and for minimal time problems. An illustrative example is solved of an optimal evasive control of an aircraft against a homing missile. 相似文献
38.
S. Raghavan 《Proceedings Mathematical Sciences》1984,93(2-3):147-160
Recently, Bombieri and Vaaler obtained an interesting adelic formulation of the first and the second theorems of Minkowski
in the Geometry of Numbers and derived an effective formulation of the well-known “Siegel’s lemma” on the size of integral
solutions of linear equations. In a similar context involving linearinequalities, this paper is concerned with an analogue of a theorem of Khintchine on integral solutions for inequalities arising from
systems of linear forms and also with an analogue of a Kronecker-type theorem with regard to euclidean frames of integral
vectors. The proof of the former theorem invokes Bombieri-Vaaler’s adelic formulation of Minkowski’s theorem. 相似文献
39.
40.
Daniel Kuhn 《Mathematical Programming》2008,113(1):61-94
Multistage stochastic programs have applications in many areas and support policy makers in finding rational decisions that
hedge against unforeseen negative events. In order to ensure computational tractability, continuous-state stochastic programs
are usually discretized; and frequently, the curse of dimensionality dictates that decision stages must be aggregated. In
this article we construct two discrete, stage-aggregated stochastic programs which provide upper and lower bounds on the optimal
value of the original problem. The approximate problems involve finitely many decisions and constraints, thus principally
allowing for numerical solution.
相似文献