SHTools: Tools for Working with Spherical Harmonics

Wieczorek Mark A.; Meschede Matthias

摘要

Abstract > Geophysical analyses are often performed in spherical geometry and require the use of spherical harmonic functions to express observables or physical quantities. When expanded to high degree, the accuracy and speed of the spherical harmonic transforms and reconstructions are of paramount importance. SHTools is a time and user‐tested open‐source archive of both Fortran 95 and Python routines for performing spherical harmonic analyses. The routines support all spherical‐harmonic normalization conventions used in the geosciences, including 4π‐normalized, Schmidt seminormalized, orthonormalized, and unnormalized harmonics, along with the option of employing the Condon‐Shortley phase factor of <mat:math display="inline" altimg="urn:x-wiley:15252027:media:ggge21580:ggge21580-math-0001" wiley:location="equation/ggge21580-math-0001.png"> <mat:mrow> <mat:msup> <mat:mrow> <mat:mo stretchy="false">(</mat:mo> <mat:mo>?</mat:mo> <mat:mn>1</mat:mn> <mat:mo stretchy="false">)</mat:mo> </mat:mrow> <mat:mi>m</mat:mi> </mat:msup> </mat:mrow> </mat:math> . Data on the sphere can be sampled on a variety of grid formats, including equally spaced cylindrical grids and grids appropriate for integration by Gauss‐Legendre quadrature. The spherical‐harmonic transforms are proven to be fast and accurate for spherical harmonic degrees up to 2800. Several tools are provided for the geoscientist, including routines for performing localized spectral analyses and basic operations related to global gravity and magnetic fields. In the Python environment, operations are very simple to perform as a result of three class structures that encompass all operations on grids, spherical harmonic coefficients, and spatiospectral localization windows. SHTools is released under the unrestrictive BSD 3‐clause license. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract Type =“Main”XML：Lang =“en”> <标题类型=“main”>抽象</ title> > 地球物理分析通常在球面几何形状中进行，并且需要使用球形谐波函数来表达可观察到或物理量。当扩展到高度时，球面谐波变换和重建的准确性和速度都是至关重要的。 SHTools是Fortran 95和Python例程的时间和用户测试的开源存档，用于执行球面谐波分析。该例程支持地球科学中使用的所有球形谐波标准化约定，包括4π标准化，施密特学员化，正常化和非全体化谐波，以及采用坦克泄漏阶段因子的选择 <mat：数学显示=“内联”Altimg =“URN：X-Wiley：15252027：媒体：GGGE21580：GGGE21580-Math-0001”Wiley：Location =“等式/ GGGE21580-Math-0001.png”> <MAT：MROW> <mat：msup> <MAT：MROW> <mat：mo stractry =“false”>（</ mat：mo> <mat：mo>？</ mat：mo> <MAT：MN> 1 </ MAT：MN> <mat：mo stractry =“假”>）</ mat：mo> </ mat：MROW> <MAT：MI> M </ MAT：MI> </ mat：msup> </ mat：MROW> </ mat：math> 。球体上的数据可以在各种网格格式上进行采样，包括适合于高斯 - legendre正交集成的同等间隔的圆柱形网格和网格。经过证明球形谐波变换，可快速准确地进行球面谐波，最高可达2800.对于地质学家提供了多种工具，包括用于执行本地化光谱分析的例程和与全局重力和磁场相关的基本操作。在Python环境中，由于三类结构，操作非常简单，这些结构包含在网格，球形谐波系数和斯巴塔斯波特定位窗口上的所有操作。 Shtools在不受限制的BSD 3-Cliase许可下发布。 </ p> </摘要> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-23285/'>《Geochemistry, geophysics, geosystems》</a> <b style="margin: 0 2px;">|</b><span>2018年第8期</span><b style="margin: 0 2px;">|</b><span>共19页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Wieczorek Mark A.&option=202" target="_blank" rel="nofollow">Wieczorek Mark A.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Meschede Matthias&option=202" target="_blank" rel="nofollow">Meschede Matthias;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Université C?te d'Azur Observatoire de la C?te d'Azur CNRS Laboratoire LagrangeNice France;</p> <p>Institut de Physique du Globe de Paris Sorbonne Paris CitéUniversité Paris Diderot UMR 7154 CNRSParis France;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/163.html" title="地球物理学">地球物理学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=spherical harmonics&option=203" rel="nofollow">spherical harmonics;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=software&option=203" rel="nofollow">software;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=python&option=203" rel="nofollow">python;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Fortran&option=203" rel="nofollow">Fortran;</a> </p> <div class="translation"> 机译：球形谐波;软件;Python;Fortran; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704023360810.html">SHTools: Tools for Working with Spherical Harmonics</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Wieczorek Mark A.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Wieczorek Mark A.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Meschede Matthias&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Meschede Matthias </a> <a href="/journal-foreign-23285/" target="_blank" rel="nofollow" class="tuijian_authcolor">Geochemistry, geophysics, geosystems .</a> <span>2018</span><span>,第8期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：Shtools：用于使用球形谐波的工具</span> </p> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704022249188.html">A MATLAB tool for computing the spherical harmonic fractal dimension of the cerebral cortex</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ruiz de Miras Juan&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Ruiz de Miras Juan,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Martinez-Lledo Guillermo&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Martinez-Lledo Guillermo,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Orwig William&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Orwig William,</a> <a href="/journal-foreign-16849/" target="_blank" rel="nofollow" class="tuijian_authcolor">Computer physics communications .</a> <span>2020</span><span>,第期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：用于计算脑皮质球形谐波分形维数的Matlab工具</span> </p> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704024314680.html">Toward recursive spherical harmonics issued bi-filters: Part II: an associated spherical harmonics entropy for optimal modeling</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Jallouli Malika&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Jallouli Malika,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Khelifa Wafa Bel Hadj&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Khelifa Wafa Bel Hadj,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ben Mabrouk Anouar&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Ben Mabrouk Anouar,</a> <a href="/journal-foreign-28582/" target="_blank" rel="nofollow" class="tuijian_authcolor">Soft computing: A fusion of foundations, methodologies and applications .</a> <span>2020</span><span>,第7期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：探讨递归球谐波发出的双滤波器：第二部分：一个相关的球形谐波熵，用于最佳建模</span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/academic-conference-foreign_meeting-255997_thesis/0705010759089.html">Spherical Harmonic Transforms with S2HAT (Scalable Spherical Harmonic Transform) Library</a> <b>[C]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Fabbian G.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Fabbian G.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Szydlarski M.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Szydlarski M.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Stompor R.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Stompor R.,</a> <a href="/conference-foreign-255997/" target="_blank" rel="nofollow" class="tuijian_authcolor">Astronomical Data Analysis Software and Systems .</a> <span>2012</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：用S2HAT（可伸缩球形谐波变换）库球形谐波变换</span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/academic-degree-foreign_mphd_thesis/02061861864.html">Spatial Dissection of a Soundfield Using Spherical Harmonic Decomposition</a> <b>[D] </b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Fahim, Abdullah.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Fahim, Abdullah. </a> <span>2020</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：使用球形谐波分解的声场的空间解剖</span> </p> </li> <li> <div> <b>6. </b><a class="enjiyixqcontent" href="/academic-journal-foreign-pmc_detail_thesis/040006218672.html">A New Relatively Simple Approach to Multipole Interactions in Either Spherical Harmonics or Cartesians Suitable for Implementation into Ewald Sums</a> <b>[O] </b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Christian J. Burnham&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Christian J. Burnham,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Niall J. English&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Niall J. English </a> <span>2020</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：适用于实现Ewald求和的球谐或笛卡尔中多极相互作用的一种相对简单的新方法</span> </p> </li> <li> <div> <b>7. </b><a class="enjiyixqcontent" href="/open-access_resources_thesis/01000127648249.html">SHTools: Tools for Working with Spherical Harmonics</a> <b>[O] </b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Mark A. Wieczorek&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Mark A. Wieczorek,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Matthias Meschede&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Matthias Meschede </a> <span>2018</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：shtools：用于使用球形谐波的工具</span> </p> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/academic-journal-cn_detail_thesis/0201293211944.html">测量光纤损失的工具——使用于不断普及的光缆铺设现场的测量工具</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . </a> <span> <a href="/journal-cn-56921/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 国外电子测量技术 </a> </span> <span> . 2004</span><span>,第6期</span> </span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/academic-journal-cn_micromotors_thesis/0201279157537.html">双定子球形电机空间磁场的谐波分析</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=张冰娇&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 张冰娇</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=吴凤英&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,吴凤英</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=张宗楠&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,张宗楠</a> <span> <a href="/journal-cn-8551/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 微电机 </a> </span> <span> . 2019</span><span>,第012期</span> </span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/academic-journal-cn_education_thesis/0201220663981.html">论工具性怀疑之使用——以哲学教育与科学教育对工具性怀疑之使用为例</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=崔晋&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 崔晋</a> <span> <a href="/journal-cn-3303/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 教育界 </a> </span> <span> . 2018</span><span>,第012期</span> </span> </div> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/academic-journal-cn_education-higher-education-research_thesis/0201271325717.html">论工具性怀疑之使用-以哲学教育与科学教育对工具性怀疑之使用为例</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=崔晋&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 崔晋</a> <span> <a href="/journal-cn-27969/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 教育界：高等教育研究 </a> </span> <span> . 2018</span><span>,第004期</span> </span> </div> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/academic-journal-cn_windows-pro-magazine-international-chinese-edition_thesis/0201277382913.html">使用ProcDump工具来解决高CPU使用率问题 ProcDump是一个新的Sysinternals工具，可以节省你收集相关CPU占用进程数据的时间</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Michael Morales&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . Michael Morales</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=老田（译）&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,老田（译）</a> <span> <a href="/journal-cn-53813/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . Windows IT Pro Magazine：国际中文版 </a> </span> <span> . 2009</span><span>,第010期</span> </span> </div> </li> <li> <div> <b>6. </b><a class="enjiyixqcontent" href="/academic-conference-cn_meeting-680_thesis/020221563653.html">一种适用于球形灯具使用的LED光源设计</a> <b>[C]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=何飞&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 何飞</a> <span> <a href="/conference-cn-680/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 2015年中国照明论坛——LED照明产品设计、应用与创新论坛 </a> <span> <span> . 2015</span> </span> </div> </li> <li> <div> <b>7. </b><a class="enjiyixqcontent" href="/academic-degree-domestic_mphd_thesis/020314674341.html">基于球谐波函数的永磁球形电机分析</a> <b>[A] </b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=翟雪冰&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 翟雪冰</a> <span> . 2013</span> </span> </div> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/patent-detail/06120213567221.html">一种用于热室内球形乏燃料或球形工件的转运工具</a> <b>[P]</b> . <span> 中国专利： CN213635400U </span> <span> . 2021-07-06</span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/patent-detail/06120100372768.html">一种用于绕制球形线圈的治具及使用该治具制备球形线圈的方法</a> <b>[P]</b> . <span> 中国专利： CN109273246A </span> <span> . 2019-01-25</span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130447504845.html">POLISHING METHOD, POLISHING METHOD FOR OPTICAL ELEMENT, POLISHING METHOD FOR NON-SPHERICAL SURFACE, WORKING TOOL FOR POLISHING, CONTROLLING METHOD FOR WORKING TOOL FOR POLISHING, POLISHING DEVICE, OPTICAL ELEMENT, POLISHING METHOD FOR OPTICAL MEMBER AND POLISHING TOOL FOR OPTICAL PARTS</a> <b>[P]</b> . <span> 外国专利：  JP2002144207A </span> <span> . 2002-05-21</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：抛光方法，光学元件抛光方法，非球形表面抛光方法，抛光工具，抛光工具控制方法，抛光装置，光学元件，光学元件抛光，光学元件抛光和光学零件抛光方法 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130411349374.html">METHOD FOR PRODUCTING OF SPHERICAL HARMONIC LIGHITNG LOCALLY AND SPHERICAL HARMONIC RENDERING APPARATUS</a> <b>[P]</b> . <span> 外国专利：  KR101659933B1 </span> <span> . 2016-09-27</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：局部产生球状谐波照明的方法及球状谐波渲染装置 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130411579607.html">METHOD FOR PRODUCTING OF SPHERICAL HARMONIC LIGHITNG LOCALLY, AND SPHERICAL HARMONIC RENDERING APPARATUS</a> <b>[P]</b> . <span> 外国专利：  KR20150137975A </span> <span> . 2015-12-09</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：局部产生球状谐波照明的方法及球状谐波渲染装置 </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right rightcon"> <div class="details_img cardcommon clearfix" style="margin-bottom: 10px;display:none;" > </div> </div> </div> <div id="thesis_get_original1" class="downloadBth" style="bottom: 19px;z-index: 999;" onclick="ywcd('0704023360810','4',7,2,1,'',this,24)" class="delivery" prompt="010401" title="通过人工服务将文献原文发送至邮箱" >获取原文</div> <div class="journalsub-pop-up" style="display: none"> <div class="journal-sub"> <h2>期刊订阅</h2> <img src="https://cdn.zhangqiaokeyan.com/img/loginclose.png" alt="关闭" onclick="$('.journalsub-pop-up').hide()"> <p class="pardon">抱歉，该期刊暂不可订阅，敬请期待！</p> <p class="current">目前支持订阅全部北京大学中文核心（2020）期刊目录。</p> <div style="display: flex;margin-top: 69px;justify-content: space-between;"> <div class="no-sub" onclick="$('.journalsub-pop-up').hide()">暂不订阅</div> <div class="other-sub" onclick="continueSub('from=pc-detail')">继续订阅其他期刊</div> </div> </div> </div> <div class="right_btn"> <ul> <li class="gouwuche">  </li> <li class="yijian"> <a href="javascript:void(0);" onclick="link_analysis('/mycenter/auth/complaint.html',this)" title="意见反馈">意见反馈</a> </li> <li class="top"> <a href="javascript:scrollTo(0,0);" title="回到顶部">回到顶部</a> </li> <li class="shouye"> <a href="/" title="首页">回到首页</a> </li> </ul> </div> <div class="xllindexfooter"> <div class="xllindexfootercenter"> <div class="xllindexfooterleft left" > <div class="xllindexfooterleftli"> <ul> <li><a href="/about.html" title="关于掌桥">关于掌桥</a></li> <li><a href="/help/helpmap.html" title="资源导航">资源导航</a></li> <li><a href="/help/helpguide.html" title="新手指南">新手指南</a></li> <li><a href="/help/helpcenter.html" title="常见问题">常见问题</a></li> <li><a href="/sitemap.html" title="网站地图">网站地图</a></li> <li><a href="/help/helpcenter.html?type=9" title="版权声明">版权声明</a></li> </ul> </div> <div class="xllindexfooterleft"> <p class="xllindexfooterlefteamil">客服邮箱：kefu@zhangqiaokeyan.com</p> <div class="xllindexfooterlefttcp"> <div class="xllindexfooterpoliceiimg"></div> <div class="xllindexfooterpoliceispan"> <span>京公网安备：11010802029741号 </span> <span>ICP备案号：<a href="https://beian.miit.gov.cn" rel="nofollow" target="_blank" title="ICP备案号">京ICP备15016152号-6</a></span> <span>六维联合信息科技 (北京) 有限公司©版权所有</span> </div> </div> </div> </div> <div class="xllindexfooterright left"> <ul> <li> <p style="font-weight: bold;">客服微信</p> <div></div> </li> <li> <p style="font-weight: bold;">服务号</p> <div></div> </li> </ul> </div> </div> </div> <span id="0704023360810down" data-source="7," data-out-id="IAPciDv+uBUZeYtgV5RfK//fjYpcMqWRGW10CZNy8io2yDCiDWHatzzpg2fH2YJ5," data-f-source-id="7" data-title="SHTools: Tools for Working with Spherical Harmonics" data-price="20" data-site-name="" data-transnum="24" style="display:none;"></span> <input type="hidden" value="4" id="sourcetype"> <input type="hidden" value="23285" id="journalid"> <input type="hidden" value="1" id="inyn_provide_service_level"> <input type="hidden" value="https://cdn.zhangqiaokeyan.com" id="imgcdn"> <input type="hidden" value="1" id="isdeatail"> <input type="hidden" value="" id="syyn_indexed_database"> <input type="hidden" value="" id="servicetype"> <input type="hidden" id="pagename" value="SHTools: Tools for Working with Spherical Harmonics"/> <input type="hidden" value="thesis_get_original" id="pageIdentification"> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/jquery-1.12.4.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/lwlh_ajax.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/zq.js?v=5.7.8"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/common.js?v=5.7.8"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/jquery.cookie.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/top.js?v=5.7.8"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/tip.js?v=5.7.8"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/login.js?v=5.7.8"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/down.js?v=5.7.8"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/search.js?v=5.7.8"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/newmail.js?v=5.7.8"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/searchtype.js?v=5.7.8"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/user/regist.js?v=5.7.8"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/zxs_solor/detail.js?v=5.7.8"></script> <script type="text/javascript" src="https://www.zhangqiaokeyan.com/statistics/static/pagecollection.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/tj.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/sse.js?v=5.7.8"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/pushbaidu.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/history.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/util/cookie.js?v=5.7.8"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/weipu/weipu.js?v=5.7.8"></script> </body> <script> $(function(){ var weiPuStatus = getCookie('WeiPuStatus'); if(weiPuStatus){ tipWeiPuStatus(weiPuStatus); delCookie('WeiPuStatus'); } getFacetKeywordVoInId(); var sourcetype = $("#sourcetype").val(); var inyn_provide_service_level = $("#inyn_provide_service_level").val(); if((sourcetype ==1||sourcetype==4)&&inyn_provide_service_level!=4){ getJournal(); } }) </script> </html>