+(S) for someS ⊂ N∗(Z). In this paper we give a constructive method to show that the odd cyclesare regular integral sum graphs, which extends the classes of integral sum graphs andcompletely solves an open problem posed by[r]
16.2. LINEAR INTEGRAL EQUATIONS OF THE SECOND KIND WITH VARIABLE INTEGRATION LIMIT 815Let w = w(x) be a solution of the simpler auxiliary equation with f (x) ≡ 1 and a = 0,Aw(x)+Bx0K(x – t)w(t) dt = 1.(16.2.3.9)In this case, the solution of the origi[r]
is a sentence. We referto a sentence (in another paper) in which there isan explicit citation of d as a citing sentence of d.When a paper is cited, it is often discussed consec-utively in more than one sentence near the citation,thus intuitively we would like to consider a windowof sen[r]
Problem Statement A thief robbing a store and can carry a maximal weight of W into their knapsack. There are n items and i th item weigh wi and is worth vi dollars. What items should thief take? There are two versions of problem Fractional knapsack problem The setup is same, but the thief can take[r]
PROBLEMS AND SOLUTIONSEdited by Gerald A. Edgar, Doug Hensley, Douglas B. Westwith the collaboration of Mario Benedicty, Itshak Borosh, Paul Bracken, Ezra A.Brown, Randall Dougherty, Tam´as Erd´elyi, Zachary Franco, Christian Friesen, IraM. Gessel, L´aszl´oLipt´ak, Frederick W. Luttmann, Vani[r]
/(x − bi),usingthe given conditions to show that all the ciare positive, then appealing to theorem (∗)and to the translation invariance of Lebesgue measure. References provided for theo-rem (∗) were: (1) G. Boole, “On a general theorem of definite integration,” Camb[r]
0 0,f0 β, f∞ 1, 1.2called the Blasius problem 1, has been used to describe the steady t wo-dimensional flow ofa slightly viscous incompressible fluid past a flat plate, where η is the similarity boundary-layer ordinate, fη is the similarity stre[r]
lBnx and 0 ≤ l <1,then ljAxj+ ljBnxjÎ Q for j sufficiently large,(iv) B is uniformly asymptotically regular with respect to A.Then, A + B has a fixed point in Q.AcknowledgementsThe authors would like to thank the referee for the insightful comments and suggestions.[r]
Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work isproperly cited.1. IntroductionIn recent years, multiview image coding has become aninteresting research area due to its various multimediaapplications such as[r]
=∂F∂q.We assume that solution (13.2.1.6) and equation (13.2.1.1) can be solved for the deriva-tives p and q, i.e.,p = ϕ1(x, y, w, C1), q = ϕ2(x, y, w, C1). (13.2.1.8)574 FIRST-ORDER PARTIAL DIFFERENTIAL EQUATIONSThe first equation of this system can be treated as an ordinary diff[r]
Economics, vol. 42, no. 1, pp. 459–465, 2008.3 E. Furman and R. Zitikis, “Weighted risk capital allocations,” Insurance: Mathematics and Economics,vol. 43, no. 2, pp. 263–269, 2008.4 E. Furman and R. Zitikis, “Weighted pricing functionals with applications to insurance: an overview[r]
uses 40 units of synthetic fiber, requires 28 hours of production time, and needs 15 units of foambacking.The profit per roll of Grade X carpet is $200 and the profit per roll of Grade Y carpet is $160. In thecoming production period, Muir has 3000 units of synthetic fiber available fo[r]
DOIT - Một trình tự đơn giản để sáng tạo Các kỹ thuật đã nêu trong các chương truớc tập trung trên các khía cạnh đặc biệt cuả tư duy sáng tạo. DOIT sẽ "gói ghém" chúng lại với nhau, và dẫn ra các phương pháp về sự xác nghĩa và đánh giá cuả vấn đề. DOIT giúp bạn tìm ra kỹ thuật sáng tạo nào là tố[r]
TẠP CHÍ KHOA HỌC VÀ CÔNG NGHỆ, ĐẠI HỌC ĐÀ NẴNG - SỐ 5(40).2010 208 ỨNG DỤNG PHƯƠNG TRÌNH TÍCH PHÂN VOLTERRA VAO GIẢI PHƯƠNG TRÌNH VI PHÂN APPLICATIONS OF THE VOLTERRA INTEGRAL EQUATION TO THE SOLUTION OF DIFFERENTIAL EQUATION Trần Ngọc Quốc, Phan Đức Tuấn Trường[r]
Sunday, two months before prom, I finally mustered up the courage to ask a girl, whom weshall call H.B., short for heartbreak. In asking her, I followed the philosophy, “If you are going togo, go all out!” The look of shock on H.B.’s face when I appeared at her door[r]
enduntil end ;Note that, the loop to update the priorities and the loop to find the minimumare combined: each time we remove a vertex from the fringe, we pass throughall the vertices, updating their priority if necessary, and keeping track of t[r]
e. Using the solution to solve the problem. f. Determining the input, processing and output which needs to take place. 2. What are the problem- solving strengths of ? a. a computer? b. people? 3. State whether a computer or a person woul[r]
i(t)],(1:3)for (m, n) Î [m0, m1) ∩ N+×[n0, n1) ∩ N+,wherea(m, n), b(m, n) are nonnegativeand nonde-creasing functions in each variable. Inequalities (1.1), (1.2), and (1.3) are thediscrete versions of Agarwal et al. [18] and Chen et al. [19]. They not only generalizedthe forms with one variable int[r]
L2(Q,σ ),where C is a constant independent of u and f.AcknowledgementsThis work was supported by National Foundation for Science and Technology Development (NAFOSTED), Vietnam,under project no. 101.01.58.09.Author details1Department of Mathematics, Hanoi National University of Education, Hanoi, Viet[r]
7cycles. On the other hand, when the damage tolerant curve isabove the Goodman line, this indicates that a crack could initiate but would not propagate.These two separate regions constitute two types of material behavior: damage intolerantwhen the damage tolerant c[r]