| 词汇 | example_english_solution |
| 释义 | Examples of solutionThese examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. Multiplets of pairs or solutions of values would not cause any problems other than for efficiency if these structures included too many elements. To illustrate why transposition is the best explanation of this phenomenon, it is worth considering a range of possible solutions. You can find other solutions, other ways to express and give form to your weakness and strength. Note that (10) and (11) can yield quite different solutions for the same value of the parameter. However, it does show a representation of solutions that allows us to manipulate constant, infinite and negative multiplicities explicitly. Note that it is not so easy now to see at a glance what the solutions should look like. The process leads students through enquiry methods and students discover solutions through problem solving activities. Multilingual solutions are desired for increasingly multicultural social and economic worlds. The dura was cut carefully to facilitate penetration of solutions. Patterns of animal communication exemplify a case of varied solutions to the same problem. Topdown solutions and large campaign-style approaches are therefore rejected in favour of more participatory solutions, involving local consultation and village level planning. What of those who promote such legal solutions ? Two different solutions to this problem come to mind. In this case the solutions to (47) are both positive and real. We assume interior solutions, meaning c2 (t) > 0. 14. We show here another important aspect, namely uniqueness of the computed solutions. We describe the behaviour of a non-converging sequence of solutions in term of lines of divergence in the domain. We also construct new explicit one-dimensional and radial solutions for stress-driven interface motion. Also, an interface appears for the minimal solutions, whose asymptotic velocity is c*. We find weak and strong solutions of (1.8)-(1.12) and show the uniqueness. In the radial situation, explicit solutions for a situation in which mean curvature flow is coupled to elasticity are presented. Note that (2.5) and (2.6) are equivalent for smooth solutions, but the jump conditions are different. A construction of approximate solutions to a one-dimensional unsaturated flow problem can be found in [14]. We continue for > 1/2 with solutions with non-detached interface and incoming flux. The calculation of the adiabatic invariant beyond all orders for solutions with large oscillations is much more difficult and remains an open question. Since we are considering a critical exponent, we find a richer set of solutions than might be expected for non-critical exponents (m n + 2). They extensively investigated several branches of periodic solutions and their stability. The local behaviour of the solutions is summarised in the following table. Each approximation of solutions will fail after a certain time. We look for solutions of (7.10) 2 with = 0 + o(1). Such solutions have been recently analyzed in [17, 18, 22]. In some cases, the optimization code converged to different solutions depending on the initial condition. The uniqueness of solutions is still an open problem, mainly, because it is difficult to derive useful a priori bounds due to the quadratic nonlinearity. The higher-order branches of solutions correspond to rescaled periodic extensions of this fundamental branch. Very similar arguments lead to proofs of uniqueness of solutions and continuous dependence on the initial data. We then investigated this simplified model by first looking for steady solutions. However, through extensive numerical experiments no additional solutions have been found. Assume that we seek solutions where all co-ordinates are non-zero. The dissipation expression (5.9) is more difficult to compute, since explicit solutions for the flux (3.8) are not readily obtained. Let y = r(x) be one of these solutions. Another approach is to appropriately define weak, nonnegative solutions [8, 10]. While mathematically appealing, the uniqueness of solutions in this approach is still an open question. Here, the particular solutions gj (x) are not, in general, algebraic functions. The advantage of this is that solutions to the hypergeometric equation are well-known. In the subspace (17) we obtain exact solutions with unbounded supports. Our method is proved later to be constructive when we investigate the behaviour of solutions in the large cell limit. Furthermore, the metastability of such solutions is analysed. The key is surely to understand the different way in which these elements can enter into the devising of intelligent design solutions. Any artifact is, in its design, an implicit critique of other design solutions to the same problem or interest. Cross-country analysis will be vital in finding appropriate solutions in the countries of both origin and settlement. Designers need more tools that assist in searching and retrieving analogous design solutions, especially far-field solutions. An inequality relationship specifies an area in which design solutions exist. However, after 20 different searches through the tree, only 3 unique solutions are found. Limits to both the maximal and minimal possible impor tance of an agent are needed in order to keep diversity of solutions generated. Note that the emphasis is on conceivable solutions. The figure shows the percentage of perfect solutions for each difficulty level. To begin, venues are directly tied to policy solutions, and advocacy groups do have preferences in this regard. Moreover, some solutions involved redistributive elements, either because they were not fiscally neutral or because they introduced subsidies for renewable energy sources. At one level, the focus of these interactions is to invent solutions to identified problems. Highlighting the national character of problems and solutions rather than their regional political aspects was probably also a political strategy in itself. The present results significantly contribute to the existing zoo of previous solutions [1, 2, 5]. Having established the possibility of constructing annular solutions, we now consider their physical properties. From these figures, only the dependence on the angle can be followed in each range of oscillatory solutions. Analytical solutions were obtained for the planar case and approximate numerical solutions for the cylindrical geometry. There is a physical constraint on the solutions just obtained that should be noted. The thin lines are other possible solutions to the system of equations. To obtain numerical solutions, it is necessary to chose a model for the slow-wave structure. Analytical solutions of these dynamical equations are not possible. We are looking for the solutions of the system (6.2) that are given by even functions. The numerical values of the solutions may be found in the appendix. On the other hand, this harmonic is not stable with respect to the modes with larger k, as well as all the other solutions are. Since agents now use four instead of two parameters, calculating expected solutions becomes very difficult. Several security solutions have thus been proposed for open systems. If we adopt the view that the possible nonexistence of extensions is a problem, then there are two alternative solutions. Traditional theories of vagueness are aiming for happy-face solutions to the sorites. In contemporary political systems, it seems that checkerboard solutions over issues such as environmental protection are highly available. We then arrive at the stalemate noted above where all solutions have problematic aspects. The final k-means cluster analyses provided respectively the best six- and five-cluster solutions. At the same time, people were well aware that a number of social, economic and political issues relevant for themselves needed to find collective solutions. They often allow for analytical solutions even when special topologies such as the neocortex are involved. Internalization as a process of abstraction is geared toward finding default solutions. There have been many proposed solutions for the indeterminacy of word mapping. He was willing to devote substantial time and effort to pursue possible solutions that could improve his life. More than likely, the human child and the cat have come upon similar behavioral solutions to different problems. The specific solutions may not be as important as is the very repetition of the situations critical for survival. However, the subjects did find the solutions to the problems with relative ease during the first hour after awakening in the morning. The salinity of the resulting solutions should be checked with a refractometer. The claim, however, that experts cannot find at least partial solutions is untrue. Given the potential conflict between the two interests, we should continue to investigate possible technologic and/or policy solutions. Long-term solutions lie in the intensification of agricultural practices and in the process of creating more rural industries. The reasons for this hesitancy and these compromise solutions are not easy to find. He went on to say that the solutions are diversification, restraint, restructuring and strategic alliances. Many problems have a clear local manifestation; local initiative and self-help must consequently provide the most apt solutions. The masses just do not have the information or expertise to interpret social problems, let alone to propose solutions for them. The common law method is such, it is argued, that there is a natural tendency for common law rules to produce efficient solutions to disputes. Such statutes however constitute a complicating factor and emphasize the need for long-term solutions through international understanding. They can produce these solutions with the speed, recall and immediate availability that only a computer can provide. The effect of extrinsic factors such as skin lipids, care solutions and cosmetics all play an important part. The underlying processes that govern this interaction are common to many areas where certain materials come into contact with biological solutions. To this a variety of solutions were given at different times. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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