miscellaneous problems on the triangle inequality

... Trang 7Marine pollution The discharge of sewage into the sea off the coast of Bombay has affected the fish population there The deposition of tar-like residues on the beaches on the west and east ... the rivers Luni, Jojari or Bandi Due to the sandy nature of the strata, considerable percolation of the waste water containing these toxic constituents to the saturat- ed zone has occurred The ... released to the atmosphere in varying amounts In 1983, the consumption of coal in India exceeded 100 million tonnes, while crude oil consumption was over 30 million tonnes It is estimated that these

Ngày tải lên: 15/03/2014, 23:20

... two components. In connection with the first assertion of Theorem 3.1, the following open question seems to be interesting Question 2 Is it true that the conclusion of the first part of Theorem ... without the additional assumption on the recession cone 0+D?. In order to derive information about the numbers χ(E w (P)) and χ(E(P)) from the information about the number χ(domF ), one has to ... whether the estimates hold true, or not In our opinion, the parametric affine variational inequality approach can help to study these estimates The following solution existence theorem for monotone

Ngày tải lên: 06/08/2014, 05:20

... organizational pattern is best suited to admin- ister the construction and operation of these works? 3 What is the best means of financing the required organiza- tion, construction, and operation? The ... FREDERICK GuTHEIM, Staff Director Trang 3FOREWORD The Joint Committee on Washington Metropolitan Problems, pur- suant to the terms of House Concurrent Resolution 172, 85th Congress, is conducting ... metropolitan view of the problem Many of the previous studies reflect the political fractionalization of the Washington metropolitan area, and are concerned with only a dictated by the limited interests

Ngày tải lên: 06/03/2014, 15:21

... solution if and only if the following integral condition holds: 0 < 1 0 Theorem 4.2 Suppose that H holds, then problem 1.1 –1.3 has a CΔ ld 0, 1Tpositive solution if and only if the following ... problem1.1 -1.2 , then which implies that u is concave on 0, 1T Combining this with the boundary conditions, we have uΔ0 > 0, uΔ1 < 0 Therefore uΔ0 uΔ1 < 0 So by 10, Theorem 1.115, there ... 0, 1T positive solutions is given by constructing upper and lower solutions and with the maximum principle The nonlinearity f mean that the functions f in1.1 A function xt ∈ C ld 0, 1T∩

Ngày tải lên: 21/06/2014, 20:20

... Chipot We construct the asymptotics of the sharp constant in the Friedrich-type inequality for functions, which vanish on the small part of the boundary Γ ε 1 . It is assumed that Γ ε 1 con- sists ... defined as the completion of the set of functions from the space C ∞ (Ω)bythenorm   Ω (u 2 + |∇u| 2 )dx. The space ◦ H 1 (Ω) is the set of functions from the space H 1 (Ω), with zero trace on ∂Ω. ... that the function u belongs to H 1 (Ω). Consider the following problem: Δu =−λ ε u in Ω, u = 0onΓ ε , ∂u ∂ν = 0on∂Ω \ Γ ε . (3.1) Definit ion 3.1. The function u ∈ H 1 (Ω,Γ ε ) is a solution of

Ngày tải lên: 22/06/2014, 11:20

... ∈ K, then (i)-(ii) ofDefinition 2.1reduce to the definitions of convexity and strong convexity, respectively Remark 2.3 h is strongly monotone with the constantσ > 0 if h is strongly convex ... K, then (i)–(iv) ofDefinition 2.5reduce to the definitions of coerciveness, strong monotonicity, monotonicity, relaxed monotonic-ity, respectively Obviously, theη-coerciveness implies η-monotonicity. ... auxiliary problem for the equilibrium problem (1.1) They then showed that the approximate solutions generated by the auxil-iary problem converge to the exact solution of the equilibrium problem

Ngày tải lên: 22/06/2014, 18:20

... moment, so we postpone this until the next section, and consider the con-ditions onu In addition, it is assumed that u satisfies the boundary conditions in (1.2) These conditions are imposed in, ... impose the condition that As mentioned above, most papers on time scale boundary value problems use the above formulation, but fail to impose any condition on the relationship between the points{ ... just mentioned concern the basic formulation of the linear operator formed from the left-hand side of (1.1), together with the boundary conditions (1.2), so from now on we simply consider the formulation

Ngày tải lên: 22/06/2014, 22:20

... inequalities on f and on the boundary conditions. In Section 3, the a priori bounds from Section 2 are used in conjunction with the non- linear alternative to prove the existence of solutions to the BVPs ... were the works [1, 2, 3, 4, 8, 9, 10]. 2. A priori bounds on solutions In order to apply Theorem 1.8, a priori bounds on solutions to the BVPs are needed. In this section conditions on f and on the ... occurs in (a,σ 2 (b)), then y(t) <R, t ∈ [a,σ 2 (b)] by Lemma 2.2. This concludes the proof.  Johnny Henderson et al. 99 The question now arises on whether the conditions α,β,γ,δ>0canberemovedfrom

Ngày tải lên: 23/06/2014, 00:20

... each other at one end of the route and finish next to each other at the other end, the poset is the Young diagram corresponding to the partition (n, n) of 2n, and a linear extension corresponds ... pawn promotion.) The composer must then ensure that Y is the only such position reachable within the stated number of moves, and the solver must first find the target position Y using the solver’s ... based on a presentation titled “How do I mate thee? Let me count the ways” that I gave the banquet of the conference in honor of Richard Stanley’s 60th birthday; the article is dedicated to him on

Ngày tải lên: 07/08/2014, 08:22

... this further, one may consider imposing additional local constraints on the graph and asking whether the aforementioned bounded decreases Kahn and Kim [6] conjectured that if the graph is triangle-free, ... then the upper bound can be improved to O(∆/ log ∆) Kim [7] proved this with the additional hypothesis that G contains no 4-cycle Soon after, Johansson proved the conjecture Theorem (Johansson ... phrase it only for chromatic number In the next section we present the lower bound in Theorem and the rest of the paper is devoted to the proof of the upper bound The last section describes the minor

Ngày tải lên: 07/08/2014, 21:20

... Maker The free edges of Gk(S) are called available Trang 3The rest of the paper is organized as follows In Section 3 we prove Theorem 1.1 andin Section 4 we prove Theorem 1.2 Finally, in Section ... that the edge that connects v and the other endpoint of that path is still free If he can now close this longer path into a cycle in his next move, then he does so and continues to Phase X Otherwise ... asked there, which of these two values is the correct answer We settle this question as follows: Theorem 1.1 For sufficiently large n we have τ (Hn) = n + 1 Note that, though this only improves the

Ngày tải lên: 07/08/2014, 21:21

... They also conjectured that the constants c0 and C0 in Theorem 2 can be chosen arbitrarily close to each other Conjecture 3 For every graph G and positive constant ε, there exist a positive constant ... q) Trang 3In contrast to the recent results on the connectivity and Hamiltonicity games, so far there has been no progress towards resolving Conjecture 3 In fact, there is no non-trivial graph ... games on graphs that have attracted considerable attention include the diameter game [1], the planarity, colorability, and minor games [6] For more information on positional games, we refer the

Ngày tải lên: 08/08/2014, 14:22

... distance between them. Specifically, the larger the distance, the smaller the collision probability. For one hash table, they first partition the space randomly into high-dimensional cubes. 23 Then, they ... identification We divide the video identification problems into 6 levels based on the noise between the original and the duplicated version video clips. Figure 1.2 illustrates these different level problems ... increasing the search speed, because they only care the performance on precision and recall in current stage. 2.1.2 Video Segmentation and Feature Extraction This module is the main part of the whole

Ngày tải lên: 05/10/2015, 19:02

... depending on the total population of the country and the proportion of the population that is older than 65 The regressions also control for the proportion of the population that ... that long-surviving leaders have longer horizons: the longer the years in office of the leader, the lower is the sharegain of the poor and the greater is the sharegain of the rich Robustness: Other ... long-surviving leaders have longer horizons: the longer the years in office of the leader, the lower is the sharegain of the poor and the greater is the sharegain of the

Ngày tải lên: 29/08/2016, 08:07

... According to the Statutes of the IPhOs [1] the theoretical examination consists of three problems of 5 h duration The experimental examination consists of one or two problems of 5 h duration The knowledge ... report on the competition problems given at the 39th International Physics Olympiad held in Hanoi, Vietnam, which consist of three theoretical and one experimental problems The abbreviated solutions ... required to solve the problems is included in the syllabus [2] During the preparation of the problems, the academic committee also paid attention to some other aspects, namely, the relation of physics

Ngày tải lên: 12/12/2017, 06:44

... D−2 → DCPπ−, where the charge of the pion tags the flavor of the neutral D meson, independently of the mode in which it is reconstructed, so there is no contribution from the Vubamplitude Trang ... [37] The fraction of the signal function contained in the core and the relative width of the two components are constrained within uncertainties to, and all other parameters are fixed to, their ... The parameters μðBÞ, NðcoreÞ=NðtotalÞ, σðwideÞ=σðcoreÞ are, respectively, the peak position, the fraction of the signal function contained in the core, and the relative width of the two components

Ngày tải lên: 16/12/2017, 01:19

... International Limited An Empirical Analysis on the Impact of Higher Education on Income Inequality Xinhua Hui1 Abstract The study on the relationship between the higher education and income inequality ... The control variables “fir” and “Union” were added to the model 2 The regression results showed that the effect of “edu” stay the same after adding the control variables: they only reduced the ... added to the model 2 The regression results showed that the effect of “edu” stay the same after adding the control variables: they only reduced the coefficient to some extent Among them, the regression

Ngày tải lên: 01/02/2020, 03:20

... inflections in the right order to convey the right meaning” (Bygate: 5) The quotation reflects the conception of speaking at that time The emphasis on the formal part, i.e the correct sounds, the ... activities as the main strength of the new textbook One of the main distinctive features of the new textbook over the old one is the focus on students rather than on teachers In other words, the new ... gives the instruction or changes in the airport, etc This type corresponds with non-reciprocal listening where the transfer of information is in one-direction only from the speaker to the listener

Ngày tải lên: 23/09/2020, 21:13

... open in the relative topology of the topology on X restricted to D The proofs of the main results in our paper are based on the following theorems (in [15]) Theorem 2.9 Let D be a nonempty convex ... corollaries, we show several re-sults on the existence of solutions to other problems in the vector optimization theory concerning multivalued mappings. 1 Introduction Throughout this paper X, Y, Z ... 231–248ON THE EXISTENCE OF SOLUTIONS TO GENERALIZED QUASI-EQUILIBRIUM PROBLEMS OF TYPE II AND RELATED PROBLEMS TRUONG THI THUY DUONG AND NGUYEN XUAN TAN Dedicated to Tran Duc Van on the occasion

Ngày tải lên: 30/09/2021, 16:42

... stressful environment Although they may initially focus on the content, their attention often wanes as the message continues, especially if they struggle to grasp its meaning Consequently, longer messages ... rationale, the aim, the research questions, the scope, the methods, the significance and the design of the study Part B: Development consists of three chapters:  Chapter one presents the literature ... communicated, they often rely heavily on their linguistic knowledge However, even if listeners can infer the background of a situation, they may lack the appropriate context intended by the speaker Consequently,

Ngày tải lên: 28/06/2022, 08:43