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  <item rdf:about="https://community.wolfram.com/groups/-/m/t/2975371">
    <title>[WSG23] Daily Study Group: Solving ODEs and PDEs</title>
    <link>https://community.wolfram.com/groups/-/m/t/2975371</link>
    <description>A Wolfram U Daily Study Group on &amp;#034;Solving ODEs and PDEs&amp;#034; begins on Monday, August 8, 2023.&#xD;
&#xD;
Join me and a cohort of fellow enthusiasts to learn about the techniques for solving ordinary differential equations (ODEs) and partial differential equations (PDEs) using Wolfram Language. Learn how to use the DSolve (for symbolic solutions) and the NDSolve (a general numerical differential equation solver) functions. Topics covered include the numerical method of lines, the finite element method (FEM), the use and construction of meshes, boundary value problems and eigenvalue problems.&#xD;
&#xD;
Participate in live Q&amp;amp;A and review your understanding through interactive in-session polls. Complete quizzes at the end of the study group to get your certificate of program completion.&#xD;
&#xD;
August 7-11, 2023, 11am-12pm CT (4-5pm GMT)&#xD;
&#xD;
&amp;gt; [**REGISTER HERE**][1]&#xD;
&#xD;
Please feel free to use this thread to collaborate and share ideas, materials and links to other resources with fellow learners.&#xD;
&#xD;
I look forward to seeing you online!&#xD;
&#xD;
![enter image description here][2]&#xD;
&#xD;
&#xD;
  [1]: https://www.bigmarker.com/series/daily-study-group-wsg41&#xD;
  [2]: https://community.wolfram.com//c/portal/getImageAttachment?filename=WolframUBanner.jpeg&amp;amp;userId=20103</description>
    <dc:creator>Luke Titus</dc:creator>
    <dc:date>2023-07-24T18:32:33Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/2895993">
    <title>[WSG23] Daily Study Group: Introduction to Calculus</title>
    <link>https://community.wolfram.com/groups/-/m/t/2895993</link>
    <description>A Wolfram U Daily Study Group on [&amp;#034;Introduction to Calculus&amp;#034;][1] begins on Monday, April 17, 2023.&#xD;
&#xD;
Join a cohort of fellow mathematics enthusiasts to learn about the fundamentals of calculus along with its applications from video lessons created for the popular [Introduction to Calculus][2] course. Participate in live Q&amp;amp;A and review your understanding through interactive in-session polls. Complete quizzes at the end of the study group to get your certificate of program completion.&#xD;
&#xD;
The study group will be led by expert Wolfram U instructor [Luke Titus][3] and should be great fun!&#xD;
&#xD;
April 17- May 5, 2023, 11am-12pm CT (4-5pm GMT)&#xD;
&#xD;
&amp;gt; **[REGISTER HERE][4]**&#xD;
&#xD;
![enter image description here][5]&#xD;
&#xD;
Please feel free to use this thread to collaborate and share ideas, materials and links to other resources with fellow learners.&#xD;
&#xD;
&#xD;
  [1]: https://www.wolfram.com/wolfram-u/courses/mathematics/introduction-calculus-wsg38/&#xD;
  [2]: https://www.wolfram.com/wolfram-u/courses/mathematics/introduction-to-calculus/&#xD;
  [3]: https://community.wolfram.com/web/luket&#xD;
  [4]: https://www.bigmarker.com/series/daily-study-group-calculus-wsg38/series_details?utm_bmcr_source=wuevent&#xD;
  [5]: https://community.wolfram.com//c/portal/getImageAttachment?filename=wolframu-banner.png&amp;amp;userId=26786</description>
    <dc:creator>Devendra Kapadia</dc:creator>
    <dc:date>2023-04-11T19:27:09Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3481794">
    <title>In Memory of Michael Trott (1959-2025): Scientist, Mentor, Friend</title>
    <link>https://community.wolfram.com/groups/-/m/t/3481794</link>
    <description>![enter image description here][1]&#xD;
&#xD;
Michael Trott was more than a brilliant scientist, he was a mentor, a friend, and a truly unique human being. For those of us lucky enough to work closely with him, his absence leaves a deep void. He brought an irreplaceable blend of curiosity, creativity, and humility to everything he did. Our long meetings, where we&amp;#039;d dive into unconventional ideas in physics and find ways to implement them in Mathematica, often stretched past hours, but no one ever minded. With Michael, even the most abstract idea could spark a new direction, a novel prototype, or an unexplored corner of science.&#xD;
&#xD;
He didn&amp;#039;t just think outside the box, he rebuilt it entirely, quietly and kindly. His codes weren&amp;#039;t always optimized for performance, but they were original and beautiful. I have never seen anyone so professional in prototyping novel ideas computationally; and this was our joint passion for Mathematica, as we believed it is one of the best tool, if not the best, for this purpose.  One can find a few examples of Michael&amp;#039;s style of thinking in the [Wolfram Blog][2], [Wolfram Demonstration Project][3], or [Wolfram Community][4]. He was also the author of four seminal books: &amp;#034;[The Mathematica GuideBooks][5]&amp;#034; (four volumes).&#xD;
&#xD;
He had a deep grasp of the history and architecture of Mathematica, with a passion for physics, especially quantum theory, and a genius for applying technology in unexpected ways. Michael Trott joined Wolfram Research in 1994 and was a cornerstone of the company for over 30 years. As Chief Scientist of Wolfram|Alpha, his fingerprints are on thousands of algorithms and innovations, from computational art to physical constants, from parsing human input to building bridges between theoretical physics and computation. The [Wolfram Quantum Framework][6], as a small example, would not have been possible without his support and contributions.&#xD;
&#xD;
Michael was encyclopedic in knowledge, yet endearingly humble. He read hundreds of papers, built massive daily digests on LLMs, mentored researchers across physics, math, and engineering; and still worried whether he had anything &amp;#034;original&amp;#034; to offer before a scheduled talk at the University of Vienna (see the material he&amp;#039;d prepared for this talk from [this link][7]; we even had a dry-run together, to discuss the content repeatedly). His presence was magnetic. He showed up early to Zoom calls (Wolfram Research has many remote employees, including myself, even before COVID pandemic) and sparked thoughtful conversation before meetings began. He didn&amp;#039;t just build things but he shared them generously. He brought humanity to everything he touched. Whether discussing quantum fields or life under East Germany&amp;#039;s Stasi, he made space for your story too. He helped others grow, quietly and consistently, always leading by example.&#xD;
&#xD;
Toward the end, we spoke about the multiverse; you were certain we&amp;#039;d meet again. In those final days, lying in your hospital bed, we found ourselves deep in conversation about the quantum-to-classical transition and nonlinearities. Thank you, Michael, for everything. You showed so many of us what it truly means to be both a scientist and a human being.&#xD;
&#xD;
&#xD;
  [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Screenshot2025-06-18at9.36.32%E2%80%AFPM.png&amp;amp;userId=1539902&#xD;
  [2]: https://blog.wolfram.com/author/michael-trott/&#xD;
  [3]: https://demonstrations.wolfram.com/authors/michael-trott&#xD;
  [4]: https://community.wolfram.com/web/mtrott&#xD;
  [5]: https://www.amazon.com/stores/author/B001ITTUVM/allbooks&#xD;
  [6]: https://resources.wolframcloud.com/PacletRepository/resources/Wolfram/%5C%20QuantumFramework/&#xD;
  [7]: https://amoeba.wolfram.com/index.php/s/Jbrt4q6cYTN7rC7</description>
    <dc:creator>Mohammad Bahrami</dc:creator>
    <dc:date>2025-06-19T04:38:05Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/2883622">
    <title>[WSG23] Daily Study Group: The Wolfram Plugin for ChatGPT</title>
    <link>https://community.wolfram.com/groups/-/m/t/2883622</link>
    <description>&amp;gt; **April 17, 2023:** Start of *Wolfram U* Daily Study Group ***The Wolfram Plugin for ChatGPT***&#xD;
&#xD;
&amp;gt; Daily 1:00-1:30 PM CT, for 1 week (Mon Apr 17 - Fri Apr 21)&#xD;
&#xD;
&amp;gt; [**REGISTER AT THIS LINK**][3]&#xD;
&#xD;
Join the Wolfram U team and our presenters [@Alan Joyce][at0], [@Michael Trott][at1], [@Jeremy Stratton-Smith][at2], [@Brad Janes][at3], [Jason Sonnenberg][1], and [@Christopher Wolfram][at4] during these daily 30-minute sessions to learn about the Wolfram plugin which allows ChatGPT to &amp;#034;talk to&amp;#034; Wolfram|Alpha and call on the capabilities of Wolfram Language. Over the course of a week, the study group sessions will showcase examples that leverage the new &amp;#034;[computational superpowers][2]&amp;#034; of ChatGPT to get results containing non-trivial computations, curated knowledge as well as real-time data, augmented as needed with visualizations and even Wolfram Language code.&#xD;
&#xD;
Please feel free to use this thread to collaborate and share ideas, additional resources and questions with the presenters as well as with other members of the study group.&#xD;
&#xD;
**Find great examples that will be demonstrated along with additional information from our presenter @Michael Trott at  https://wolfr.am/1cCZB1bME .**&#xD;
&#xD;
![enter image description here][4]&#xD;
&#xD;
&#xD;
 [at0]: https://community.wolfram.com/web/alanj&#xD;
&#xD;
 [at1]: https://community.wolfram.com/web/mtrott&#xD;
&#xD;
 [at2]: https://community.wolfram.com/web/jstrattons&#xD;
&#xD;
 [at3]: https://community.wolfram.com/web/bradleyj&#xD;
&#xD;
 [at4]: https://community.wolfram.com/web/christopher&#xD;
&#xD;
&#xD;
  [1]: https://blog.wolfram.com/author/the-wolframalpha-chemistry-team/&#xD;
  [2]: https://writings.stephenwolfram.com/2023/03/chatgpt-gets-its-wolfram-superpowers/&#xD;
  [3]: https://www.bigmarker.com/series/daily-study-group-chatgpt-wsg39/series_details?utm_bmcr_source=community&#xD;
  [4]: https://community.wolfram.com//c/portal/getImageAttachment?filename=wolframu-banner.png&amp;amp;userId=130003</description>
    <dc:creator>Abrita Chakravarty</dc:creator>
    <dc:date>2023-04-05T19:55:39Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/458725">
    <title>Definite integral of gaussian times sqare root of x gives wrong result</title>
    <link>https://community.wolfram.com/groups/-/m/t/458725</link>
    <description>Definite integrals of the type gaussian distribution times sqare root of x from 0 to inf give imaginary results whereas the functions are real valued in this interval.&#xD;
&#xD;
    int [sqrt(x)*exp(-(x-1)**2),x,0,inf] ? -0.07..i&#xD;
&#xD;
    int [x**(-1/2)*exp(-(x-1)**2),x,0,inf] ? 0.4..i&#xD;
&#xD;
By the way I would love to know the correct symbolic integral but not only does wolfram alpha struggle but maxima and me as well.&#xD;
&#xD;
Edit: I was not specific in that I would like to know the symbolic integral.</description>
    <dc:creator>Wolfgang Brehm</dc:creator>
    <dc:date>2015-03-13T13:10:55Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/100224">
    <title>Virtual Conference for STEM Educators!</title>
    <link>https://community.wolfram.com/groups/-/m/t/100224</link>
    <description>Hi everyone!

Just wanted to let you know that Wolfram will be hosting a FREE Virtual Conference for STEM Education September 17th. During the conference there are two tracks to choose from, one dedicated to enhancing your current classroom and the other focused on current trends to transform your curriculum. Our virtual conference interface lets you join talks from either track. Learn how to create interactive materials for your math course, how to explain physical phenomenon with demonstrations, use our mobile solutions in your classroom and much more!

We&amp;#039;ll also be talking about products that haven&amp;#039;t even been released yet! You have to come and check it out!

Use this thread for:
[list]
[*]questions that you have about the conference
[*]comments about Wolfram tech in education
[*]questions for the conference&amp;#039;s live Q&amp;amp;A
[*]follow-up questions to the conference
[/list]If your questions didn&amp;#039;t get answered during the Q&amp;amp;A, post it here and get it answered by the presenters! We&amp;#039;ll be monitoring the thread.

To see the full schedule and to register for the event, visit [b][url=http://www.wolfram.com/events/virtual-conference/stem-education-2013/]the conference page[/url][/b]. Can&amp;#039;t wait to see you all there!

[url=http://www.wolfram.com/events/virtual-conference/stem-education-2013/][img=width: 700px; height: 155px;]/c/portal/getImageAttachment?filename=5596ScreenShot2013-08-19at12.07.27PM.png&amp;amp;userId=11733[/img][/url]</description>
    <dc:creator>Adriana O&amp;#039;Brien</dc:creator>
    <dc:date>2013-08-19T17:04:53Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/2931334">
    <title>100 Math Problems: ChatGPT with Wolfram Plugin versus the Code Interpreter Model</title>
    <link>https://community.wolfram.com/groups/-/m/t/2931334</link>
    <description>![enter image description here][1]&#xD;
&#xD;
&amp;amp;[Wolfram Notebook][2]&#xD;
&#xD;
&#xD;
  [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=rtapis-5.png&amp;amp;userId=20103&#xD;
  [2]: https://www.wolframcloud.com/obj/730d5d38-e03f-49fc-8b91-6de321867da6</description>
    <dc:creator>Michael Trott</dc:creator>
    <dc:date>2023-06-05T15:18:09Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/2763581">
    <title>Stephen Wolfram on ChatGPT, Wolfram|Alpha &amp;amp; Computational Knowledge</title>
    <link>https://community.wolfram.com/groups/-/m/t/2763581</link>
    <description>[![enter image description here][1]][2]&#xD;
&#xD;
Dear friends, Stephen Wolfram just [published a new article][2], which I am inviting you to read and discuss below in the comments:&#xD;
&#xD;
&amp;gt; *Wolfram|Alpha as the Way to Bring Computational Knowledge Superpowers to ChatGPT*&#xD;
&#xD;
&amp;gt; https://writings.stephenwolfram.com/2023/01/wolframalpha-as-the-way-to-bring-computational-knowledge-superpowers-to-chatgpt&#xD;
&#xD;
It already got volumes of feedback:&#xD;
&#xD;
- TWITTER: https://wolfr.am/1amUFFVvV&#xD;
- LINKEDIN: https://wolfr.am/1amUGV0Fq &#xD;
- FACEBOOK https://wolfr.am/1amUJSVf2&#xD;
&#xD;
&amp;gt; **If you have any related thoughts - please comment below!**&#xD;
&#xD;
&#xD;
  [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=ChatGPT-hero-v4.png&amp;amp;userId=11733&#xD;
  [2]: https://writings.stephenwolfram.com/2023/01/wolframalpha-as-the-way-to-bring-computational-knowledge-superpowers-to-chatgpt</description>
    <dc:creator>Vitaliy Kaurov</dc:creator>
    <dc:date>2023-01-10T18:48:33Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/1747281">
    <title>[LiVE] Building Wolfram Cloud APIs to JS Frontends and Serverless Backends</title>
    <link>https://community.wolfram.com/groups/-/m/t/1747281</link>
    <description>Live Coding Sessions&#xD;
&#xD;
The four sessions work up to a mini-project in the last 40 minutes of session 4.  &#xD;
&#xD;
The links for session 4 are now included below.  There are session links for TwitchTV and YouTube.  In session 3 I examine how to rasterize arbitrary WL expressions that are neither Images nor Graphics.  We also go over how to control ImageSize and AspectRatio to accommodate HTML requirements (or vis-a-versa).&#xD;
&#xD;
Along with [Andreas Lauschke][1] and [Alan Calvitti][2] I&amp;#039;ve undertaken the following &amp;#039;live coding&amp;#039; sessions along the line of APIs where WL is the computational end point.  I will not walk-through the JavaScript environment setup (unless there is enough demand).  All the needed bits and pieces are readily available with very good documentation.&#xD;
&#xD;
TwitchTV:&#xD;
- [Session 1][3]&#xD;
- [Session 2][4]&#xD;
- [Session 3][5]&#xD;
- [Session 4][6]&#xD;
YouTube:&#xD;
- [Session 1][7] &#xD;
- [Session 2][8]&#xD;
- [Session 3][9]&#xD;
- [Session 4][10]&#xD;
&#xD;
I frequently say front-end and back-end environments overlook (or under appreciate) the computation-side.  However, with a few development requirements the quant-side can deliver to the front-end folks exactly what they need and reduce the amount of processing logic in the front-end.  It also conforms to the development team and code writing philosophy of separation of concerns and duties.  This opens the door to more modular teams and code with easy to understand handshakes between components and teams.&#xD;
&#xD;
All the Notebooks, JavaScript code, YouTube and TwitchTV links are in my [GitHub repository][11].&#xD;
&#xD;
We start with the most simple use of APIFunction[] I can think of then step into use cases that confront simple issues, which if not understood upfront, can cause delays and frustration for one of more team members.  We make API calls to external resources from inside APIFunction[] and get and put data from and to Wolfram Cloud.  We look at producing and returning exactly the structure of JSON needed by the JavaScript (front-end).&#xD;
&#xD;
This is followed with a look at using APIFunction[] with NodeJS (backend) building up to dealing with the dreaded CORS issues and look into some security issues.&#xD;
&#xD;
Lastly, we will look at a few use cases for integrating to AWS resources.&#xD;
&#xD;
I will update this post and my GitHub as we proceed.&#xD;
&#xD;
&#xD;
  [1]: https://community.wolfram.com/groups/-/m/t/1674537?p_p_auth=6JuYtfmp&#xD;
  [2]: https://community.wolfram.com/web/acalvitti/home?p_p_id=user_WAR_userportlet&amp;amp;p_p_lifecycle=0&amp;amp;p_p_state=normal&amp;amp;p_p_mode=view&amp;amp;p_p_col_id=column-1&amp;amp;p_p_col_count=1&amp;amp;tabs1=Discussions&#xD;
  [3]: https://www.twitch.tv/videos/457922436&#xD;
  [4]: https://www.twitch.tv/videos/460691831&#xD;
  [5]: https://www.twitch.tv/videos/464271890&#xD;
  [6]: https://www.twitch.tv/videos/467247696&#xD;
  [7]: https://www.youtube.com/watch?v=ntMZbJf38Mo&amp;amp;t=184s&#xD;
  [8]: https://www.youtube.com/watch?v=gbz6Kf_W4Do&amp;amp;t=4s&#xD;
  [9]: https://www.youtube.com/watch?v=Dev1E_eI3dY&amp;amp;t=6s&#xD;
  [10]: https://www.youtube.com/watch?v=ArISepTE7mY&amp;amp;feature=youtu.be&#xD;
  [11]: https://github.com/MitchStonehocker/LiveCoding</description>
    <dc:creator>Mitch Stonehocker</dc:creator>
    <dc:date>2019-07-29T13:20:43Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/163848">
    <title>My thoughts on Wolfram Problem Generator</title>
    <link>https://community.wolfram.com/groups/-/m/t/163848</link>
    <description>Hi everyone,

I would like to briefly present the [url=http://www.wolframalpha.com/problem-generator/][b]Wolfram Problem Generator[/b][/url], which I have been working on for the past months. There are two features that I think make it special: the ability to generate unlimited problems and free-form input for answers.

[url=http://www.wolframalpha.com/problem-generator/][img=width: 505px; height: 360px;]http://blog.wolframalpha.com/data/uploads/2013/10/Topic-List.png[/img][/url]

Some problem generators do not make random problems on the fly: in fact, they take problems from a repository (which, even if big, is still finite). By contrast, our system generates a totally new problem just for you. Also, we double-check that we haven&amp;#039;t shown it already--in this case, we just show you a new one!

Our free-form input takes full advantage of all the technology created by Wolfram|Alpha. Given a problem to try, you can write your answer in whatever way makes sense to you and we will be able to recognize it each time. For example, for

[img=float: left;]/c/portal/getImageAttachment?filename=ScreenShot2013-12-02at12.18.49PM.png&amp;amp;userId=50011[/img]



you can type &amp;#034;2 sqrt(3)&amp;#034;, &amp;#034;two times square root of three&amp;#034;, &amp;#034;two radical 3&amp;#034; or &amp;#034;2 * 3^(1/2)&amp;#034;.

Wolfram Problem Generator was not without its challenges in development. The most challenging aspect of this project was implementing a way to distinguish right answers from incorrect attempts. For example, if your problem is &amp;#034;6 x = 10&amp;#034;, Wolfram Problem Generator asks you to simplify your result to &amp;#034;5/3&amp;#034; (or &amp;#034;x = 5/3&amp;#034;, or &amp;#034;five thirds&amp;#034;, etc.), and not leave the answer as &amp;#034;10/6&amp;#034;. Because &amp;#034;10/6&amp;#034; is a mathematically correct answer, we relied on Mathematica&amp;#039;s powerful pattern matcher to ensure that the answer really was simplified.

You can try Wolfram Problem Generator if you&amp;#039;re a member of Wolfram|Alpha Pro. Right now, we have coverage for six core subjects, with a lot more in the works. Let us know what subjects and what types of problems you&amp;#039;d like to see!

Enjoy!
Luca</description>
    <dc:creator>Luca Belli</dc:creator>
    <dc:date>2013-12-02T17:46:23Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/764613">
    <title>[GIF] Dynamic Bubble Chart for Time Series</title>
    <link>https://community.wolfram.com/groups/-/m/t/764613</link>
    <description>I was inspired by [Hans Rosling talking on TED in 2006][1]. The dynamic bubble chart tells a good story.&#xD;
His speech was recorded in 2006, so I am wondering what has changed after nearly 10 years later.&#xD;
&#xD;
W|A provides same quality data and I should plot those data with BubbleChart, easily.&#xD;
Unfornately, BubbleChart has a very strange diameter, so I use Graphics instead, finally.&#xD;
&#xD;
GIF shows below with totally 57 countries for time series from 1964 to 2013.&#xD;
&#xD;
 - each bubble stand for a country (diameter is population);&#xD;
 - biggest bubble is China, 2nd biggest is India, etc;&#xD;
 - x axis is total fertility rate, y axes is life expectancy;&#xD;
 - population less than 10 million are filtered. (If too less population, the point is really too small.);&#xD;
 - country history data is available from W|A &#xD;
&#xD;
&#xD;
![enter image description here][2]&#xD;
&#xD;
&#xD;
  [1]: http://www.ted.com/talks/hans_rosling_shows_the_best_stats_you_ve_ever_seen#&#xD;
  [2]: http://community.wolfram.com//c/portal/getImageAttachment?filename=frames_57C.gif&amp;amp;userId=569571</description>
    <dc:creator>Frederick Wu</dc:creator>
    <dc:date>2015-12-27T14:26:32Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/413928">
    <title>Origami: Mathematica and Wolfram|Alpha Logos</title>
    <link>https://community.wolfram.com/groups/-/m/t/413928</link>
    <description># Origami: Mathematica and Wolfram|Alpha Logos&#xD;
![enter image description here][1]&#xD;
&#xD;
I made these models as a gift for my geeky husband. Turns out these are great home decoration and cat toys!&#xD;
If you are interested in geeky home decoration or killing some time in a geeky way, try make your own origami logos follow the instruction below.&#xD;
&#xD;
# What&amp;#039;s in the logo?&#xD;
[This blog post][2] from WolframAlpha blog explained what the logos are in geometry. The origami models are made using unit origami method, that is making simple units and assemble them together to form a certain shape. Understanding the constituents of the logos might make the assembling easier.&#xD;
&#xD;
## Spikey&#xD;
Mathematica logo v1 (Spikey) &amp;#034;consisted of the spiked solid obtained from an icosahedron (the regular 20-faced solid that is one of the five Platonic solids) with regular tetrahedra (triangular pyramids) affixed to its faces.&amp;#034; Spikey has 60 equilateral triangular faces. Our basic unit contains two equilateral triangles, which means we need to make 30 units.&#xD;
&#xD;
![enter image description here][3]&#xD;
&#xD;
## Wolfram|Alpha&#xD;
The logo is a rhombic hexecontahedron (rhombic refers to the fact that the faces of the solid consist of rhombi, while hexecontahedron is a word derived from the Greek, which simply means 60-faced solid). The shape of the faces is called [golden rhombus][4], which is very hard to construct in origami. Luckily this rhombus has an approximately 60 degree angle. I decided to use the same unit as Spikey. It needs 60 units to construct the Wolfram|Alpha logo.&#xD;
&#xD;
![enter image description here][5]&#xD;
&#xD;
# You will need&#xD;
&#xD;
- Origami paper: 30 pieces for Spikey and 60 pieces for Wolfram Alpha. If you use 7.5cm paper for Spikey or 5cm paper for Wolfram Alpha, your final work will be around 9cm in diameter.&#xD;
- Knife: To cut paper in certain size.&#xD;
- Glue: In fact you dont need anything like glue at all to finish the work. Just in case you want your model more stable and longer-lasting.&#xD;
&#xD;
## Tips&#xD;
- Don&amp;#039;t use thick paper for the work, as the folding gets very complicated in the end.&#xD;
- If you decided not to use any glue, don&amp;#039;t use slippery paper. It will drive you crazy!&#xD;
- The folding gets easier when you use larger paper, but the assembling will be looser and harder to make last.&#xD;
- Using professional origami paper will save you a lot of cutting effort.&#xD;
&#xD;
# Basic Unit Folding Instruction&#xD;
&#xD;
### Step 0&#xD;
&#xD;
Get your paper ready, colored side down. Fold the right part left to make the paper in half. Crease and open. Youll see a lot of steps just like this: Crease and open. It seems like an undo operation to what youve just done but these steps are definitely not useless. Origami needs geometry to fold certain shapes. Usually it uses creases as a reference to the following steps.&#xD;
&#xD;
![enter image description here][6]&#xD;
&#xD;
### Step 1&#xD;
&#xD;
Using the bottom-left corner as a pivot, fold the bottom-right corner up. Make it land on the crease made in Step 0. Crease and open. You may find our first 60° angle in the shape. Do the same folding on the opposite side.&#xD;
&#xD;
![enter image description here][7]&#xD;
&#xD;
![enter image description here][8]&#xD;
&#xD;
### Step 2&#xD;
&#xD;
Now we have three creases intersecting in a single point. Fold bottom-left and bottom-right corners to the intersection. Crease and open. Two new intersections appeared on the bottom of the square. Fold the left and right edge to the center, make the corners land on the new intersections. For the first time, we dont need to open the folding. The width of the current shape is the length of the longer diagonal of our final rhombus.&#xD;
&#xD;
![enter image description here][9]&#xD;
&#xD;
![enter image description here][10]&#xD;
&#xD;
### Step 3&#xD;
&#xD;
Find the intersection of the right edge and the crease made in Step 1. Using the intersection as a pivot, fold the top-right corner down so that the edge is aligned with the crease marked in the picture. Crease and open. Fold the opposite side down in the same way, but dont unfold this time. Fold the triangle upward.&#xD;
&#xD;
![enter image description here][11]&#xD;
&#xD;
![enter image description here][12]&#xD;
&#xD;
### Step 4&#xD;
&#xD;
Pinch the top layer and pull out. Fold the bottom-right up using the crease made in Step 1. Do it again in the opposite direction: Fold the triangle down, pinch the top layer and pull out.&#xD;
&#xD;
![enter image description here][13]&#xD;
&#xD;
![enter image description here][14]&#xD;
&#xD;
### Step 5&#xD;
&#xD;
Fold the right part to the left. Crease and open. The following movement is a little bit hard to describe. We need to pinch the marked point, pull to the left, using the center line crease. The animated graphic below might be easier to follow. Fold the triangle upward.&#xD;
&#xD;
![enter image description here][15]&#xD;
&#xD;
![enter image description here][16]&#xD;
&#xD;
![enter image description here][17]&#xD;
&#xD;
### Step 6&#xD;
&#xD;
Fold the shaded triangle inward, insert it under the layer below. Repeat Step 5-6 in the opposite direction: Pull the left part to the right, fold the triangle down and fold the shaded part inward.&#xD;
&#xD;
![enter image description here][18]&#xD;
&#xD;
![enter image description here][19]&#xD;
&#xD;
### Step 7&#xD;
&#xD;
Insert the marked parts one layer down. And its done! Turn over and youll see a perfect rhombus with a 60° angle.&#xD;
&#xD;
![enter image description here][20]&#xD;
&#xD;
![enter image description here][21]&#xD;
&#xD;
# Assembly Method&#xD;
&#xD;
## Spikey (1.5h to finish)&#xD;
&#xD;
### Step 0&#xD;
&#xD;
Get your 30 units ready. Before we start, we need to know how to assemble two units. Find two pockets and two joints on the unit. Fold the unit in half, and fold both joints forward as shown in the picture. When assembling, insert one joint of the unit into one pocket of the other unit until it reaches the end.&#xD;
&#xD;
![enter image description here][22]&#xD;
&#xD;
### Step 1&#xD;
&#xD;
Assemble your first 5 units. You may follow the color I used in the picture, if you wish to have a similar colored model. Our final model will have a lot (twelve) of this star-liked component.&#xD;
&#xD;
![enter image description here][23]&#xD;
&#xD;
### Step 2&#xD;
&#xD;
Attach 5 more units to the existing model. Join each new unit with two existing units on the 5-unit-structure to form a spike. We will construct twenty spikes on our final model. These 5 units added in this step are our second layer. Now we have 10 assembled units.&#xD;
&#xD;
![enter image description here][24]&#xD;
&#xD;
### Step 3&#xD;
&#xD;
We need 10 units on our third layer. Insert two units between each two units on Layer 2. Since there are 5 units on Layer 2, we will need 10 units for Layer 3. Observe the model, you will find two kinds of vertexes. The concave ones should have five units around, forming a star-liked structure, while the convex ones have three units forming a spike.&#xD;
&#xD;
![enter image description here][25]&#xD;
&#xD;
### Step 4&#xD;
&#xD;
Turn the model over, connect each two adjacent units on Layer 3 to form a spike. Assemble 5 new units to Layer 3 to form 5 more spikes.&#xD;
 &#xD;
![enter image description here][26]&#xD;
&#xD;
### Step 5&#xD;
Assemble 5 last units on the top layer to form a star-liked-structure. The final insertion might get difficult, you can fold the joint in half to make it shorter. Dont worry, the final model will still be steady enough.&#xD;
? &#xD;
![enter image description here][27]&#xD;
&#xD;
## Wolfram|Alpha (2.5h to finish) &#xD;
&#xD;
### Step 0&#xD;
&#xD;
Wolfram|Alpha logo is a rhombic hexecontahedron, that means each face is a rhombus. The insertion of the units are slightly different. We dont need to fold the unit in half, just insert the joint into the pocket of another unit. Prepare 60 red units. You may insert every 5 units together to make counting easier.&#xD;
&#xD;
![enter image description here][28]&#xD;
 &#xD;
### Step 1&#xD;
&#xD;
Use 5 units to form a star. Make 12 stars using all 60 units. Connect two stars together, every two stars have two connected vertices.&#xD;
?&#xD;
![enter image description here][29]&#xD;
&#xD;
### Step 2&#xD;
&#xD;
Follow the rule of each two stars have two connected vertices, assemble the stars. Every 6 stars can form a hemisphere. Connect two hemispheres together. And its done!&#xD;
&#xD;
![enter image description here][30]&#xD;
&#xD;
&#xD;
  [1]: /c/portal/getImageAttachment?filename=models.jpg&amp;amp;userId=394218&#xD;
  [2]: http://blog.wolframalpha.com/2009/05/19/whats-in-the-logo-that-which-we-call-a-rhombic-hexecontahedron/&#xD;
  [3]: /c/portal/getImageAttachment?filename=spikey.jpg&amp;amp;userId=394218&#xD;
  [4]: http://mathworld.wolfram.com/GoldenRhombus.html&#xD;
  [5]: /c/portal/getImageAttachment?filename=mathematica.jpg&amp;amp;userId=394218&#xD;
  [6]: /c/portal/getImageAttachment?filename=img1.png&amp;amp;userId=11733&#xD;
  [7]: /c/portal/getImageAttachment?filename=img2.png&amp;amp;userId=11733&#xD;
  [8]: /c/portal/getImageAttachment?filename=img3.png&amp;amp;userId=11733&#xD;
  [9]: /c/portal/getImageAttachment?filename=img4.png&amp;amp;userId=11733&#xD;
  [10]: /c/portal/getImageAttachment?filename=img5.png&amp;amp;userId=11733&#xD;
  [11]: /c/portal/getImageAttachment?filename=img6.png&amp;amp;userId=11733&#xD;
  [12]: /c/portal/getImageAttachment?filename=img7.png&amp;amp;userId=11733&#xD;
  [13]: /c/portal/getImageAttachment?filename=img8.png&amp;amp;userId=11733&#xD;
  [14]: /c/portal/getImageAttachment?filename=img9.png&amp;amp;userId=11733&#xD;
  [15]: /c/portal/getImageAttachment?filename=img10.png&amp;amp;userId=11733&#xD;
  [16]: /c/portal/getImageAttachment?filename=img11.png&amp;amp;userId=11733&#xD;
  [17]: /c/portal/getImageAttachment?filename=demo-1.gif&amp;amp;userId=394218&#xD;
  [18]: /c/portal/getImageAttachment?filename=img14.png&amp;amp;userId=11733&#xD;
  [19]: /c/portal/getImageAttachment?filename=img15.png&amp;amp;userId=11733&#xD;
  [20]: /c/portal/getImageAttachment?filename=img16.png&amp;amp;userId=11733&#xD;
  [21]: /c/portal/getImageAttachment?filename=img17.png&amp;amp;userId=11733&#xD;
  [22]: /c/portal/getImageAttachment?filename=img18.png&amp;amp;userId=11733&#xD;
  [23]: /c/portal/getImageAttachment?filename=img19.png&amp;amp;userId=11733&#xD;
  [24]: /c/portal/getImageAttachment?filename=img20.png&amp;amp;userId=11733&#xD;
  [25]: /c/portal/getImageAttachment?filename=img21.png&amp;amp;userId=11733&#xD;
  [26]: /c/portal/getImageAttachment?filename=img22.png&amp;amp;userId=11733&#xD;
  [27]: /c/portal/getImageAttachment?filename=img23.png&amp;amp;userId=11733&#xD;
  [28]: /c/portal/getImageAttachment?filename=img24.png&amp;amp;userId=11733&#xD;
  [29]: /c/portal/getImageAttachment?filename=img25.png&amp;amp;userId=11733&#xD;
  [30]: /c/portal/getImageAttachment?filename=img26.png&amp;amp;userId=11733</description>
    <dc:creator>Xueqin Cai</dc:creator>
    <dc:date>2014-12-30T21:13:19Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/228183">
    <title>One Way to Query Wolfram Alpha from Python</title>
    <link>https://community.wolfram.com/groups/-/m/t/228183</link>
    <description>Recently I found [url=http://advencode.wordpress.com/2011/10/17/simple-query-request-with-wolfram-api/]this link [/url]very useful for python users if they are interestered in the integration of W|A into their python code. I can quickly explain what this code does and show some modification I have made so that you can interactively use Python as a plain text interface to get information from W|A. 

Before you start, you can [url=http://products.wolframalpha.com/api/]register for a developer account on the Wolfram Product page[/url]. You may also apply for a free and non-commercial use API ID from the W|A developer portal. You will need this ID to access the database and its XML data structure. 

Let me first show you how it looks when you run the modified script and after. The example is a &amp;#034;group of 8 &amp;#034; query about an international group
[code]myMac: ~ shenghui$ ./WAPy.py &amp;#039;group of 8&amp;#039; [/code][center][img=width: 439px; height: 248px;]/c/portal/getImageAttachment?filename=4349interface.png&amp;amp;userId=23928[/img][/center]The application then prints the input query and its url encoded form, which just like that you will see in the url bar after you search for this answer in web W|A interface. It also prints out a list of titles related to the detailed information. They corresponds to the following pods from the outputs through web browser. For instance, the tabular result for Demographics is both available for web query and query via API. [center][img=width: 476px; height: 602px;]/c/portal/getImageAttachment?filename=web.png&amp;amp;userId=23928[/img][/center]
 The prompt at the bottom is asking for a valid choice from the title list. If you want to check out the demographics info for the member coutries, just go ahead the type the exact match or paste it into the input prompt: [center][img=width: 611px; height: 498px;]/c/portal/getImageAttachment?filename=9805res.png&amp;amp;userId=23928[/img][/center] A nice feature is added here for searching the pod info again within the current XML session. Because there is a cap for non-commercial/personal developer API ID, I do not want to load the XML again from the server to waste my data cap. Therefore I added this &amp;#034;try again&amp;#034; prompt and I could reuse everything already on the local machine. Let&amp;#039;s type y (yes) to get some new piece of data from the XML: [center][img=width: 709px; height: 368px;]/c/portal/getImageAttachment?filename=again.png&amp;amp;userId=23928[/img][/center]Until you hit &amp;#034;n&amp;#034; or any letter other than &amp;#039;y&amp;#039;, you can squeeze the XML to the last drop of data. 

[url=http://advencode.wordpress.com/2011/10/17/simple-query-request-with-wolfram-api/]The python code[/url] is like the following: 
preambles: [code]#!/usr/bin/python

from subprocess import call
call(&amp;#034;clear&amp;#034;)
import sys
import urllib2
import urllib
import httplib
from xml.etree import ElementTree as etree[/code]
The body is simply a method call for a wolfram object 
[code]appid = &amp;#039;UQ7*********&amp;#039;
query = sys.argv[1]
print &amp;#039;I am asking for: &amp;#039;, query
w = wolfram(appid)
w.search(query)[/code]
All heavy lifting goes into the definition of the object &amp;#034;wolfram&amp;#034;. The constructor takes my API ID/appid as input
[code]class wolfram(object):    
    def __init__(self, appid):        
        self.appid = appid
        self.base_url = &amp;#039;http://api.wolframalpha.com/v2/query?&amp;#039;
        self.headers = {&amp;#039;User-Agent&amp;#039;:None}[/code]
The get_xml method uses the urlencode function to turn my W|A input, aka first argument following executing WAPy.py file. After the call, it gets the XML data from the W|A server
[code]    def _get_xml(self, ip):
        url_params = {&amp;#039;input&amp;#039;:ip, &amp;#039;appid&amp;#039;:self.appid}
        data = urllib.urlencode(url_params)
        print data
        req = urllib2.Request(self.base_url, data, self.headers)
        xml = urllib2.urlopen(req).read()
        return xml[/code]
The core of this python application is to extract the titles from the XML data
[code]    def _xmlparser(self, xml):
        data_dics = {}
        tree = etree.fromstring(xml)
        #retrieving every tag with label &amp;#039;plaintext&amp;#039;
        for e in tree.findall(&amp;#039;pod&amp;#039;):
            for item in [ef for ef in list(e) if ef.tag==&amp;#039;subpod&amp;#039;]:
                for it in [i for i in list(item) if i.tag==&amp;#039;plaintext&amp;#039;]:
                    if it.tag==&amp;#039;plaintext&amp;#039;:
                        data_dics[e.get(&amp;#039;title&amp;#039;)] = it.text
        return data_dics[/code]
If you are not too familiar with the code, that&amp;#039;s fine. Basically it first create a python object &amp;lt; treeobj 0xpppppp&amp;gt; from the XML file and looking for proper tags. The following simply creates list from list e with some condition.
[code][ef for ef in list(e) if ef.tag==&amp;#039;subpod&amp;#039;][/code]
specifically the condition is that the the XML tag must be like &amp;lt;subpod&amp;gt; &amp;lt;/subpod&amp;gt;. 

Finally the human-readable data is stored in the data_dics. This is a special data structure in python called dictionary. Nothing fancy but just create a mapping like list. e.g. 
[code]a = [&amp;#039;name&amp;#039;: &amp;#039;wolfram research&amp;#039;, &amp;#039;product&amp;#039;:&amp;#034;wolfram alpha&amp;#034;][/code] and 
[code]a[&amp;#039;name&amp;#039;][/code]returns &amp;#039;wolfram research&amp;#039;. Notice that you cannot use integer index here for a. 
The last part is about waiting for my input and print out the result under the chosen pod tile. This method calls two methods of wolfram object before to get &amp;#034;xml&amp;#034; and &amp;#034;result_dics&amp;#034;.
[code]   def search(self, ip):
        xml = self._get_xml(ip)
        result_dics = self._xmlparser(xml)
        
        print &amp;#039;Available Titles&amp;#039;, &amp;#039;\n&amp;#039;
        titles = dict.keys(result_dics)
        for ele in titles : print &amp;#039;\t&amp;#039; + ele
        print &amp;#039;\n&amp;#039;
        tryAgain = &amp;#039;y&amp;#039;
        while tryAgain == &amp;#039;y&amp;#039;:
                s = raw_input(&amp;#039;Choose Pod Title: (type quit to terminate) &amp;#039;)
                if s == &amp;#039;quit&amp;#039;: quit()

                while (s not in titles):
                        if s == &amp;#039;quit&amp;#039;: quit()
                        print &amp;#039;Not Valid Title&amp;#039;
                        s = raw_input(&amp;#039;Choose Pod Title Again: &amp;#039;)
                print result_dics[s]
                tryAgain = raw_input(&amp;#039;\nTry other pod title(y/n): &amp;#039;)
        print &amp;#039;\nTerminate the query&amp;#039;[/code]
To print out the pod titles after I have the dictionary object, I use the dict.keys method. Shortly, it does the following: 
[code]a = [&amp;#039;name&amp;#039;: &amp;#039;wolfram research&amp;#039;, &amp;#039;product&amp;#039;:&amp;#034;wolfram alpha&amp;#034;]
dict.keys(a) ====&amp;gt; [&amp;#039;name&amp;#039;, &amp;#039;product&amp;#039;][/code]
The for loop exhausts the list of pod titles and prints them out. 
[code]for ele in titles : print &amp;#039;\t&amp;#039; + ele[/code]
The next While loop&amp;#039;s purpose is to wait the user choose to quit the progam and the inner loop checks if the user has typeda valid pod title from the list of available pod titles.
Once you have the code saved to a .py file, use 
[code]chmod a+x myfile.py [/code] to make it an executable. 
Of course this is just a very simple application about the embedding W|A into python code, yet this shows a basic collection of essential elements one need to complete such a task. For a thorough manual about the XML structure, please go to [url=http://products.wolframalpha.com/api/documentation.html]this site[/url]. </description>
    <dc:creator>Shenghui Yang</dc:creator>
    <dc:date>2014-04-01T08:52:29Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/148083">
    <title>Bug at Wolfram|Alpha (Solve the indefinite integral, steps not available)</title>
    <link>https://community.wolfram.com/groups/-/m/t/148083</link>
    <description>Hello. It&amp;#039;s my first post here :) And this post is about the bug.
I sat and solved some tasks for my friend. I&amp;#039;m checking my answers only using Wolfram Mathematica and Wolfram|Alpha, but at that moment I saw very big answer for my task - &amp;#034;Solve the indefinite integral&amp;#034;. Okay... May be it&amp;#039;s true. Let&amp;#039;s check the &amp;#034;step-by-step&amp;#034; solution. And Wolfram|Alpha said: &amp;#034;step-by-step solution unavailable&amp;#034;. Why? Okay, how I can check answer? Okay, asked Wolfram|Alpha solve me the definite integral and only after that I checked my answer. I don&amp;#039;t understand why &amp;#034;step-by-step solution unavailable&amp;#034; and why the answer is very hard for understanding at Wolfram|Alpha for this integral.

This post has links to the answer of Wolfram|Alpha and to my answer.
Wolfram|Alpha: http://www.wolframalpha.com/input/?i=int+x%5E2%2F%28%281-x%5E2%29%5E3%29%5E0.5+dx
I: [url=http://cs419616.vk.me/v419616470/d3e9/TtbwN0GVnJI.jpg]http://cs419616.vk.me/v419616470/d3e9/TtbwN0GVnJI.jpg[/url]</description>
    <dc:creator>Vitalii Barash</dc:creator>
    <dc:date>2013-11-02T21:45:33Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/2549220">
    <title>How vegetated is Sacramento? Computing vegetation indices from Landsat 8-9</title>
    <link>https://community.wolfram.com/groups/-/m/t/2549220</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/ed0cd0c0-8cec-4daf-8b5c-b9977a4296b3</description>
    <dc:creator>Julián Laverde</dc:creator>
    <dc:date>2022-06-13T14:38:41Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/65480">
    <title>Collaborative packages organized like Wikipedia</title>
    <link>https://community.wolfram.com/groups/-/m/t/65480</link>
    <description>Hello, Wolfram Community! This is a continuation of a discussion we&amp;#039;ve been having the past week on the Mathematica Stack Exchange site, which is a continuation of a discussion we were having on the Wikidata mailing list linked therein: [b][url=http://meta.mathematica.stackexchange.com/q/1057/13]Collaborative packages organized like Wikipedia[/url][/b]

The basic idea is to collaboratively develop packages associated with Wikipedia articles. The current plan is to just start by using wiki pages and then retreat to a more constrained hosting environment as we run into problems. To kick things off last night I was reading the &amp;#034;Solar cycles&amp;#034; article, and I noticed it has a plot (that hasn&amp;#039;t been updated in a few years) that shows the daily total solar irradiance measurements for the past couple of decades. So I added some code to import and retrieve the TSI for a specific date from the World Radiation Center site. The current guidelines for relevance are any code that can be used to enhance, generate, or verify content in the associated Wikipedia article: [b][url=http://en.wikipedia.org/wiki/User:Wakebrdkid/Wikicode]http://en.wikipedia.org/wiki/User:Wakebrdkid/Wikicode[/url][/b]

Anyone can now go expand that code or add their own (even without registering). The impression I&amp;#039;ve been getting is that people are interested in developing packages that extend the standard Mathematica library like this but don&amp;#039;t have time. I do have a lot of spare time, so for now it just provides an outlet for me to organize and integrate code I write or find.</description>
    <dc:creator>Michael Hale</dc:creator>
    <dc:date>2013-07-23T22:58:11Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/188120">
    <title>Virtual Conference for STEM Educators Jan 2014!</title>
    <link>https://community.wolfram.com/groups/-/m/t/188120</link>
    <description>Hi everyone!&#xD;
&#xD;
Just wanted to let you know that Wolfram will be hosting a FREE Virtual Conference for STEM Education January 28th. During the conference there are two tracks to choose from, one dedicated to amplifying your current classroom and the other focused on fortifying your curriculum with new technologies. Our virtual conference interface lets you join talks from either track. &#xD;
&#xD;
We&amp;#039;ll also be talking about products that haven&amp;#039;t even been released yet! You have to come and check it out!&#xD;
&#xD;
Use this thread for:&#xD;
[list]&#xD;
[*]questions that you have about the conference&#xD;
[*]comments about Wolfram tech in education&#xD;
[*]questions for the conference&amp;#039;s Q&amp;amp;A&#xD;
[*]follow-up questions to the conference&#xD;
[/list]If your questions didn&amp;#039;t get answered during the Q&amp;amp;A, post it here and get it answered by the presenters! We&amp;#039;ll be monitoring the thread.&#xD;
&#xD;
To see the full schedule and to register for the event, visit the [url=http://www.wolfram.com/events/virtual-conference/stem-education-jan-2014/]conference page[/url]. Can&amp;#039;t wait to see you all there!&#xD;
&#xD;
[url=http://www.wolfram.com/events/virtual-conference/stem-education-jan-2014/][img=width: 663px; height: 153px;]/c/portal/getImageAttachment?filename=stem2014.png&amp;amp;userId=21124[/img][/url]</description>
    <dc:creator>Adriana O&amp;#039;Brien</dc:creator>
    <dc:date>2014-01-20T18:42:47Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/903295">
    <title>Get Ready for the Perseid Meteor Shower Tonight</title>
    <link>https://community.wolfram.com/groups/-/m/t/903295</link>
    <description>Meteor showers are an annual occurrence. Each meteor shower happens at about the same time every year. One of the better meteor showers to catch, at least in the northern hemisphere, is the Perseid meteor shower.&#xD;
&#xD;
    In[1]:= Entity[&amp;#034;MeteorShower&amp;#034;, &amp;#034;Perseids&amp;#034;][&amp;#034;PeakDate&amp;#034;]&#xD;
    &#xD;
    Out[1]= DateObject[{2016, 8, 12}]&#xD;
&#xD;
Meteor showers are usually the result of Earth moving through the dusty debris trail of a periodic comet. As comets orbit the Sun, they leave behind a dusty cloud in their wake. Some comet orbits pass near the orbit of Earth and so the Earth intercepts some of this dirt and gravel. In the case of the Perseid meteor shower, the parent object is Comet Swift-Tuttle.&#xD;
&#xD;
    In[2]:= Entity[&amp;#034;MeteorShower&amp;#034;, &amp;#034;Perseids&amp;#034;][&amp;#034;ParentObject&amp;#034;]&#xD;
    &#xD;
    Out[2]= Entity[&amp;#034;Comet&amp;#034;, &amp;#034;Comet109PSwiftTuttle&amp;#034;]&#xD;
&#xD;
The orbit of this comet can be visualized using the following WL code.&#xD;
&#xD;
    With[{date = DateObject[{2016, 8, 11}]}, &#xD;
     Graphics3D[{RGBColor[1, .7, &#xD;
        0], {Lighting -&amp;gt; {{&amp;#034;Ambient&amp;#034;, GrayLevel[.3]}, {&amp;#034;Directional&amp;#034;, &#xD;
           White, ImageScaled[{0, 0, 1}]}}, Sphere[{0, 0, 0}, .1]}, &#xD;
       PointSize[.02], {{Orange, &#xD;
           Lighting -&amp;gt; {{&amp;#034;Ambient&amp;#034;, GrayLevel[.3]}, {&amp;#034;Directional&amp;#034;, White,&#xD;
               ImageScaled[{0, 0, 1}]}}, #[[1]]}, &#xD;
          Point[QuantityMagnitude[#[[2]]]]} &amp;amp;@&#xD;
        EntityValue[&#xD;
         Entity[&amp;#034;Comet&amp;#034;, &amp;#034;Comet109PSwiftTuttle&amp;#034;], {&amp;#034;OrbitPath&amp;#034;, &#xD;
          EntityProperty[&amp;#034;Comet&amp;#034;, &amp;#034;HelioCoordinates&amp;#034;, {&amp;#034;Date&amp;#034; -&amp;gt; date}]}],&#xD;
        Blue, EntityValue[EntityClass[&amp;#034;Planet&amp;#034;, All], &amp;#034;OrbitPath&amp;#034;]}, &#xD;
      PlotRange -&amp;gt; 45, ViewAngle -&amp;gt; Pi/20, Boxed -&amp;gt; False, &#xD;
      ImageSize -&amp;gt; 400]]&#xD;
&#xD;
![orbit of Comet Swift-Tuttle][1]&#xD;
&#xD;
If we zoom into the inner solar system, we can represent the comet&amp;#039;s orbit as a tube and watch as Earth passes through the comet&amp;#039;s orbit path as we approach August 11.&#xD;
&#xD;
    frames = Table[&#xD;
      With[{date = DateObject[{2016, 7, 11 + t}]}, &#xD;
       Column[{DateObject[date[[1]], &#xD;
          DateFormat -&amp;gt; {&amp;#034;MonthNameShort&amp;#034;, &amp;#034; &amp;#034;, &amp;#034;DayShort&amp;#034;}], &#xD;
         Graphics3D[{RGBColor[1, .7, &#xD;
            0], {Lighting -&amp;gt; {{&amp;#034;Ambient&amp;#034;, GrayLevel[.3]}, {&amp;#034;Directional&amp;#034;, &#xD;
               White, ImageScaled[{0, 0, 1}]}}, Sphere[{0, 0, 0}, .1]}, &#xD;
           PointSize[.02], {{Orange, &#xD;
               Lighting -&amp;gt; {{&amp;#034;Ambient&amp;#034;, GrayLevel[.3]}, {&amp;#034;Directional&amp;#034;, &#xD;
                  White, ImageScaled[{0, 0, 1}]}}, #[[1]] /. &#xD;
                Line -&amp;gt; Tube}, Point[QuantityMagnitude[#[[2]]]]} &amp;amp;@&#xD;
            EntityValue[&#xD;
             Entity[&amp;#034;Comet&amp;#034;, &amp;#034;Comet109PSwiftTuttle&amp;#034;], {&amp;#034;OrbitPath&amp;#034;, &#xD;
              EntityProperty[&amp;#034;Comet&amp;#034;, &#xD;
               &amp;#034;HelioCoordinates&amp;#034;, {&amp;#034;Date&amp;#034; -&amp;gt; date}]}], &#xD;
           Blue, {#[[1]], {Text[#[[1]], &#xD;
                  QuantityMagnitude[#[[2]]], {-1.5, 0}] &amp;amp; /@ &#xD;
                Transpose[{#[[3]], #[[2]]}], &#xD;
               Point[QuantityMagnitude[#[[2]]]]}} &amp;amp;@&#xD;
            Transpose[&#xD;
             EntityValue[{Entity[&amp;#034;Planet&amp;#034;, &amp;#034;Earth&amp;#034;], &#xD;
               Entity[&amp;#034;Planet&amp;#034;, &amp;#034;Venus&amp;#034;], Entity[&amp;#034;Planet&amp;#034;, &amp;#034;Mercury&amp;#034;], &#xD;
               Entity[&amp;#034;Planet&amp;#034;, &amp;#034;Mars&amp;#034;]}, {&amp;#034;OrbitPath&amp;#034;, &#xD;
               EntityProperty[&amp;#034;Planet&amp;#034;, &#xD;
                &amp;#034;HelioCoordinates&amp;#034;, {&amp;#034;Date&amp;#034; -&amp;gt; date}], &amp;#034;Name&amp;#034;}]]}, &#xD;
          PlotRange -&amp;gt; 4, ViewAngle -&amp;gt; Pi/20, Boxed -&amp;gt; False, &#xD;
          ImageSize -&amp;gt; 400]}, Center]],&#xD;
      {t, 0, 60, .5}];&#xD;
&#xD;
![Animation of Earth moving through the orbital path of comet Swift-Tuttle][2]&#xD;
&#xD;
Depending on the weather in your location, you should try going out over the next couple of days, especially tonight, and look for any &amp;#034;shooting stars&amp;#034; that are a result of the dusty debris of a comet burning up in our atmosphere. The best time is anytime after midnight and before dawn. Meteors can appear anywhere in the sky and will appear to radiate from a point in the northeast, in the constellation Perseus, where the meteor shower gets its name. You don&amp;#039;t need binoculars or a telescope, just a blanket and your eyes.&#xD;
&#xD;
&#xD;
  [1]: http://community.wolfram.com//c/portal/getImageAttachment?filename=SwiftTuttle.png&amp;amp;userId=25355&#xD;
  [2]: http://community.wolfram.com//c/portal/getImageAttachment?filename=Perseids.gif&amp;amp;userId=25355</description>
    <dc:creator>Jeffrey Bryant</dc:creator>
    <dc:date>2016-08-11T16:39:05Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/758788">
    <title>how to integrate a sum series?</title>
    <link>https://community.wolfram.com/groups/-/m/t/758788</link>
    <description>Hi,&#xD;
given that the introduce yourself  board is temporarly unavailable I briefly introduce myself here and then I submit my question about calculus and WA.&#xD;
&#xD;
My name is Eugenio and I work in Human resources sector in Italy. I&amp;#039;m also a part time forex and index trader. I&amp;#039;m interested in building a deep knowledge in quantitative finance and historical data analysis and handling. I&amp;#039;m currently rebuilding my math foundations and I&amp;#039;m using WA as a tool to achieve a deeper understanding of  several math skills. I&amp;#039;ll be grateful to all the people that will help me to become a WA power user.&#xD;
&#xD;
Here is my question:&#xD;
I have to calculate the definite integral from 0 to 1 of a series sum from n= 1 to infinity.&#xD;
The function is ((n+2)/(2^n))x^(n+1)&#xD;
I&amp;#039;ve tried to use this syntax in WA search engine:&#xD;
&#xD;
integrate [sum_n=0^infinity ((n+2)/(2^n))x^(n+1) {x, 0, 1} series representation&#xD;
&#xD;
I have written series representation at the end cause I need the output to be in series form.&#xD;
WA doesen&amp;#039;t understand the query. Did I make some mistake?&#xD;
Is possible to use WA to make short scripts? What I mean is:&#xD;
an instruction to assign the series sum to a variable; successive instructions to perform on that variable different calculations.&#xD;
&#xD;
tnx</description>
    <dc:creator>eugenio caccaviello</dc:creator>
    <dc:date>2015-12-16T07:51:18Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/356529">
    <title>New Member - Need Help Using Site</title>
    <link>https://community.wolfram.com/groups/-/m/t/356529</link>
    <description>i just joined tonight. I am taking College Algebra.  I need some answers.  Can I not just plug the question into the search bar and it spit out the answer?  Surely, I can.&#xD;
&#xD;
An example question  is 2 times the absolute value of 2x-7 plus 6 is greater than 16.  Now how do I do that when I can&amp;#039;t even find the absolute value or greater or lesser than symbols are the keyboard they offer?&#xD;
&#xD;
I am certain I am doing this all wrong.  Please help!</description>
    <dc:creator>Lacey Perkins</dc:creator>
    <dc:date>2014-09-27T02:58:15Z</dc:date>
  </item>
</rdf:RDF>

