The well-known integral transform$$i(r) = - \frac{1}{\pi }\int\limits_{x = r}^1 {\frac{{dI(x)}}{{\sqrt {x^2 - r^2 } }},} 0 \leqq r \leqq 1,I(1) = 0$$ arising in spectroscopy, corresponds to half-order differentiation ...
详细信息
The well-known integral transform$$i(r) = - \frac{1}{\pi }\int\limits_{x = r}^1 {\frac{{dI(x)}}{{\sqrt {x^2 - r^2 } }},} 0 \leqq r \leqq 1,I(1) = 0$$ arising in spectroscopy, corresponds to half-order differentiation by substitutingr2 = 1 −s,x2 = 1 − t. Therefore noise is amplified by transforming the measured functionI intoi. Two undesirable effects may arise: (a) lack of smoothness ini (r), (b) intervals in whichi(r) < 0, although for physical reasons we should havei(r) ≧ *** developing a heuristic theory of noise amplification we present a fitting technique for approximate computation ofi(r), using the extra informationi(r) ≧ 0 as a restriction. This leads to a quadratic programming problem.
This paper presents a "branch and bound" method for solving mixed integer linear programming problems. After briefly discussing the bases of the method, new concepts called pseudo-costs and estimations are i...
详细信息
In the previous Sections, we have observed the following interesting properties of the optimum solution to this regional allocation problem. First, as indicated by assumptions (33) (34), and (35), public investment in...
详细信息
The “relaxation” procedure introduced by Held and Karp for approximately solving a large linear programming problem related to the traveling-salesman problem is refined and studied experimentally on several classes ...
详细信息
This paper studies some properties of hypergraphs in connection with a class of integer linear programming problems. The main result (theorem 3) states that the strong chromatic number of a balanced hypergraph is equa...
详细信息
An optimal control problem is considered in a setting akin to that of the theory. of generalized curves. Rather than minimizing a functional depending on pairs of trajectories and controls subject to some constraints,...
详细信息
This paper describes a partitioning method for solving a class of structured nonlinear programming problems with block diagonal constraints and a few coupling variables. The special structure of the constraints is use...
详细信息
This paper establishes a set of necessary and sufficient conditions in order that a vector x be a local minimum point to the general (not necessarily convex) quadratic programming problem: minimize pTx + 1/2 xTQx, sub...
详细信息
The assignment game is a model for a two-sided market in which a product that comes in large, indivisible units (e.g., houses, cars, etc.) is exchanged for money, and in which each participant either supplies or deman...
详细信息
暂无评论