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21.
A unified approach to the Clenshaw summation and the recursive computation of very high degree and order normalised associated Legendre functions 总被引:11,自引:7,他引:11
Spherical harmonic expansions form partial sums of fully normalised associated Legendre functions (ALFs). However, when evaluated
increasingly close to the poles, the ultra-high degree and order (e.g. 2700) ALFs range over thousands of orders of magnitude.
This causes existing recursion techniques for computing values of individual ALFs and their derivatives to fail. A common
solution in geodesy is to evaluate these expansions using Clenshaw's method, which does not compute individual ALFs or their
derivatives. Straightforward numerical principles govern the stability of this technique. Elementary algebra is employed to
illustrate how these principles are implemented in Clenshaw's method. It is also demonstrated how existing recursion algorithms
for computing ALFs and their first derivatives are easily modified to incorporate these same numerical principles. These modified
recursions yield scaled ALFs and first derivatives, which can then be combined using Horner's scheme to compute partial sums,
complete to degree and order 2700, for all latitudes (except at the poles for first derivatives). This exceeds any previously
published result. Numerical tests suggest that this new approach is at least as precise and efficient as Clenshaw's method.
However, the principal strength of the new techniques lies in their simplicity of formulation and implementation, since this
quality should simplify the task of extending the approach to other uses, such as spherical harmonic analysis.
Received: 30 June 2000 / Accepted: 12 June 2001 相似文献
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集群技术越来越多地应用在提高系统的稳定性和对数据中心的保护等关键应用领域。本文简述了高可用集群技术的有关概念、Veritas Cluster Server工作原理以及湖北省国土资源电子政务系统如何利用高可用性集群搭建数据库和GIS应用服务的相关案例。 相似文献
24.
D. B. Nedwell L. F. Dong A. Sage G. J. C. Underwood 《Estuarine, Coastal and Shelf Science》2002,54(6):951
The annual loads of nutrients (TOxN equal to nitrate+nitrite; ammonium, phosphate, silicate) to all the estuaries on the mainland of the United Kingdom were estimated from data on water flow through gauging stations at the tidal limits of estuaries, and from concentration measurements under the Harmonised Monitoring Scheme of nutrient concentrations in water samples from these stations. The annual loads of nutrients showed distinct regional variations, with estuaries along the west coast of Wales and northern Scotland having much smaller loads than those along the east coast of England. The largest nitrogen loads were of TOxN, and ammonium loads were usually small in comparison. The Severn, Mersey, Humber and Thames had the highest loads, although these were small in relation to the larger continental European estuaries. Loads of TOxN per unit of catchment area were surprisingly constant (about 105 moles N km−2 y−1). The nutrient loads showed that most U.K. catchments were influenced by human activity, the majority being in the ‘ moderately influenced ’ category. Nutrient loads were also normalized for the area of each estuary, as a measure of the relative influence of nutrients on the receiving estuaries. The ratios of N:P, N:Si and P:Si in the annual loads suggested that most estuaries were likely to be, if anything, P limited rather than N or Si limited. However, crude annual loads may conceal significant seasonal variations.The spring maximum chlorophylla concentrations in coastal waters adjacent to each estuary were significantly correlated with the log total annual loads of TOxN, ammonium and phosphate (but not silicate) for each estuary, providing a direct link between a measure of the degree of biological response in coastal waters and the nutrient load through the estuaries. There were no significant correlations between spring maximum chlorophyll a concentrations and either catchment-normalized or estuary-normalized nutrient loads. There was significant correlation between catchment area-normalized loads of phosphate and an urbanization index for the catchments, but not with the catchment area-normalized loads of the other nutrients. 相似文献
25.
It is proposed that the Straightforward Inversion Scheme (SIS) developed by the authors for 1D inversion of resistivity sounding and magneto-telluric sounding data can also be used in similar fashion for time-domain induced polarization sounding data. The necessary formulations based on dynamic dipole theory are presented. It is shown that by using induced polarization potential, measured at the instant when steady state current is switched off, an equation can be developed for apparent ‘chargeability–resistivity’ which is similar to the one for apparent resistivity. The two data sets of apparent resistivity and apparent chargeability–resistivity can be inverted in a combined manner, using SIS for a common uniform thickness layer earth model to estimate the respective subsurface distributions of resistivity and chargeability–resistivity. The quotient of the two profiles will give the sought after chargeability profile. A brief outline of SIS is provided for completeness. Three theoretical models are included to confirm the efficacy of SIS software by inverting only the synthetic resistivity sounding data. Then one synthetic data set based on a geological model and three field data sets (combination of resistivity and IP soundings) from diverse geological and geographical regions are included as validation of the proposal. It is hoped that the proposed scheme would complement the resistivity interpretation with special reference to shaly sand formations. 相似文献
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Phase 3 of the European Union Emissions Trading Scheme (EU ETS; 2013–2020) sees the introduction of new rules governing the free allocations of emissions allowances given to energy-intensive industries. In contrast to Phases 1 and 2, allocations will be based on historical production multiplied by best available emissions technology benchmarks. This article exploits an original database to provide a first analysis of the distributional and economic efficiency implications of the new rules. It is shown empirically that the new allocation rules reduce the scope for windfall gains by EU ETS firms while also effectively mitigating carbon leakage risks, even assuming optimistic forecasts of Phase 3 carbon prices. The example of the cement sector is used to show that benchmarking significantly improves the harmonization of the levels of free allocations to competing firms throughout the EU compared to Phase 2. However, it is also found that the use of ex ante output levels to determine allocations still leaves considerable scope for windfall gains and possible distortions of the internal market. 相似文献
28.
《Climate Policy》2013,13(1):67-76
Abstract Russian Kyoto related interests are economic and after the US withdrawal the mission of Russian actors has been to find new demand for Russian credits and allowances. Kyoto related benefits to Russia will be significantly smaller than earlier expected, however, the revenues are now more likely to be focused on climate change mitigation purposes. Competition in the Kyoto market has established buyers’ market and Russia has to accommodate the interests of investors in order to gain benefits. The Russian initiative ‘Green Investment Scheme’ to recycle revenues from International Emissions Trading (IET) to further environmental activities would convene demand for Russian AAUs but experience the same problems than the previous initiatives: inadequate institutional arrangement, unclear division of responsibilities between domestic actors, prolonged ratification process and lack of eligibility strategy. These problems have prevented implementation of GIS so far. Therefore, these problems have to be addressed by high-level Russian policy-makers if serious benefits from Kyoto are sought. Actors building alliances with Russia should focus on assisting with solving these problems. 相似文献
29.
地震监测是一项对震情应急反映要快 ,系统网络安全性要求较高的工作 ,Windows终端就是建立在系统网络的基础上 ,以允许多个用户同时登录到一台服务器并运行服务器上应用的网络系统终端。它具有成本低 ,安全性好 ,解决网络阻塞能力强 ,应急反映速度快等优势。“Windows终端”的局域网模式是目前应用较为广泛 ,使用性能较好的一种网络连接方式。本文系作者在参加福建省地震局“1 0 5 - 0 3”十五重点项目中 ,对监测中心的台网监测网络系统建设的思考。目前我局新办公楼即将竣工 ,我监测中心新的办公写字间网络系统连接方式 ,选择“Windows终端”不失为一个较好的方案。 相似文献
30.
英国温室气体排放贸易制度的实践与评价 总被引:1,自引:0,他引:1
吴向阳 《气候变化研究进展》2007,3(1):58-061
温室气体排放贸易作为一种经济激励型的环境管理手段,对企业减少温室气体排放有成本效率作用。详细介绍了英国温室气体排放贸易制度框架,并对其政策的效果及存在的问题进行了评价。 相似文献