text:
User talk:Notorious~enwikiversity

 Hello Notorious, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. All users are expected to abide by our Privacy policy, Civility policy, and the Terms of Use while at Wikiversity.

To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.
 * Explore Wikiversity with the links to your left.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.
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You don't need to be an educator to edit. You only need to be bold to contribute and to experiment with the sandbox or your userpage. See you around Wikiversity! --Abd 16:52, 8 September 2011 (UTC)

Your account will be renamed
Hello,

The developer team at Wikimedia is making some changes to how accounts work, as part of our on-going efforts to provide new and better tools for our users like cross-wiki notifications. These changes will mean you have the same account name everywhere. This will let us give you new features that will help you edit and discuss better, and allow more flexible user permissions for tools. One of the side-effects of this is that user accounts will now have to be unique across all 900 Wikimedia wikis. See the announcement for more information.

Unfortunately, your account clashes with another account also called Notorious. To make sure that both of you can use all Wikimedia projects in future, we have reserved the name Notorious~enwikiversity that only you will have. If you like it, you don't have to do anything. If you do not like it, you can pick out a different name.

Your account will still work as before, and you will be credited for all your edits made so far, but you will have to use the new account name when you log in.

Sorry for the inconvenience.

Yours, Keegan Peterzell Community Liaison, Wikimedia Foundation 23:45, 17 March 2015 (UTC)

Renamed
 This account has been renamed as part of single-user login finalisation. If you own this account you can |log in using your previous username and password for more information. If you do not like this account's new name, you can choose your own using this form after logging in: . -- Keegan (WMF) (talk) 06:17, 19 April 2015 (UTC)

title: User talk:Notorious~enwikiversity


text:
User talk:Sathida huamankij

 Hello Sathida huamankij, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. All users are expected to abide by our Privacy policy, Civility policy, and the Terms of Use while at Wikiversity.

To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.
 * Explore Wikiversity with the links to your left.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.
 * Follow Wikiversity on twitter (http://twitter.com/Wikiversity) and identi.ca (http://identi.ca/group/wikiversity).

You don't need to be an educator to edit. You only need to be bold to contribute and to experiment with the sandbox or your userpage. See you around Wikiversity! --Abd 16:52, 8 September 2011 (UTC)

license: Creative Commons - Attribution Share-Alike - https://creativecommons.org/licenses/by-sa/4.0/

title: User talk:Sathida huamankij


text:
User:Npsweet/ENES100

HCC ENES100 fall projects

Give instructor top 3 project choice list
Typically the instructor picks teams. Students send the instructor their top 3 choices. The project choices are typically those found at Category:General_Engineering_Projects. The instructor tries to put students in the project of their choice. Put your top three choices here after they are used to assign you to this project. Create a link to the project root and to where your team will be working.

Write problem statement
Look through the existing problem statements. Find something not yet done on the project. Create a problem statement for it. Think of a new subsystem that needs to be built for the project. The goal is something simple, possible, for zero dollars.

Assign Task1
Tasks are typically done over the weekend. They are documented during the week, presented during the week and the next weekends work is negotiated during the week. Week 0 is the week that task 1 is negotiated. Record your individual task here. Plan on working on it during the weekend between week0 and week1.

Compare actual work done to Task1
Rationalize differences

Week1 Narrative
Upload photos to wikimedia. Upload video to youtube. Convert all spreadsheets, documents, and presentations to wiki format and create wiki subpage of your page for each of them. Link to them here in a narrative that tells a story. High light the problems (engineering problems) you had and how you solved them.

Week1 Peer Review
Go to each team mates weekly summary wiki page. Read their activities and narrative. Then go the associated discussion page. Say something positive on this page. Try some constructive criticism. Add your name and 1sfoerster 13:32, 28 August 2011 (UTC) to create a time and date stamp. Create a new category if another team mate has already commented here.

Assign Task2
Record what you are planning on doing for the team during the weekend between week1 and week2 of the project here.

Compare actual work done to Task2
Rationalize differences

Week2 Narrative
Upload photos to wikimedia. Upload video to youtube. Convert all spreadsheets, documents, and presentations to wiki format and create wiki subpage of your page for each of them. Link to them here in a narrative that tells a story. High light the problems (engineering problems) you had and how you solved them.

Week2 Peer Review
Go to each team mates weekly summary wiki page. Read their activities and narrative. Then go the associated discussion page. Say something positive on this page. Try some constructive criticism. Add your name and 1sfoerster 13:32, 28 August 2011 (UTC) to create a time and date stamp. Create a new category if another team mate has already commented here.

Assign Task3
Record what you are planning on doing for the team during the weekend between week2 and week3 of the project here.

Compare actual work done to Task3
Rationalize differences

Week3 Narrative
Upload photos to wikimedia. Upload video to youtube. Convert all spreadsheets, documents, and presentations to wiki format and create wiki subpage of your page for each of them. Link to them here in a narrative that tells a story. High light the problems (engineering problems) you had and how you solved them.

Week3 Peer Review
Go to each team mates weekly summary wiki page. Read their activities and narrative. Then go the associated discussion page. Say something positive on this page. Try some constructive criticism. Add your name and 1sfoerster 13:33, 28 August 2011 (UTC) to create a time and date stamp. Create a new category if another team mate has already commented here.

Assign Task4
Record what you are planning on doing for the team during the weekend between week3 and week4 of the project here.

Compare actual work done to Task4
Rationalize differences

Week4 Narrative
Upload photos to wikimedia. Upload video to youtube. Convert all spreadsheets, documents, and presentations to wiki format and create wiki subpage of your page for each of them. Link to them here in a narrative that tells a story. High light the problems (engineering problems) you had and how you solved them.

Week4 Peer Review
Go to each team mates weekly summary wiki page. Read their activities and narrative. Then go the associated discussion page. Say something positive on this page. Try some constructive criticism. Add your name and 1sfoerster 13:33, 28 August 2011 (UTC) to create a time and date stamp. Create a new category if another team mate has already commented here.

Complete Project Page
Follow the "project done" format.

Start Next Project Week0 activities
During this week you will perform the week0 activities of the next project.

title: User:Npsweet/ENES100


text:
User talk:Hsingh8658

I added the back link for you Afayyaz6843 01:26, 15 October 2011 (UTC)

Do you have any materials in mind that i can bring on Tuesday? Afayyaz6843 01:27, 15 October 2011 (UTC)

title: User talk:Hsingh8658


text:
User talk:MScobell1809

 Hello MScobell1809, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. All users are expected to abide by our Privacy policy, Civility policy, and the Terms of Use while at Wikiversity.

To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.
 * Explore Wikiversity with the links to your left.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.
 * Follow Wikiversity on twitter (http://twitter.com/Wikiversity) and identi.ca (http://identi.ca/group/wikiversity).

You don't need to be an educator to edit. You only need to be bold to contribute and to experiment with the sandbox or your userpage. See you around Wikiversity! --Abd 16:55, 8 September 2011 (UTC)

title: User talk:MScobell1809


text:
User talk:Tleopold2485

 Hello Tleopold2485, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. All users are expected to abide by our Privacy policy, Civility policy, and the Terms of Use while at Wikiversity.

To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.
 * Explore Wikiversity with the links to your left.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.
 * Follow Wikiversity on twitter (http://twitter.com/Wikiversity) and identi.ca (http://identi.ca/group/wikiversity).

You don't need to be an educator to edit. You only need to be bold to contribute and to experiment with the sandbox or your userpage. See you around Wikiversity! --Abd 16:59, 8 September 2011 (UTC)

title: User talk:Tleopold2485


text:
User talk:Dmoreno1899

0/0/0 .. user page is in the wrong place, not filled out 1sfoerster 13:04, 20 September 2011 (UTC)

 Hello Dmoreno1899, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. All users are expected to abide by our Privacy policy, Civility policy, and the Terms of Use while at Wikiversity.

To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.
 * Explore Wikiversity with the links to your left.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.
 * Follow Wikiversity on twitter (http://twitter.com/Wikiversity) and identi.ca (http://identi.ca/group/wikiversity).

You don't need to be an educator to edit. You only need to be bold to contribute and to experiment with the sandbox or your userpage. See you around Wikiversity! --Abd 16:59, 8 September 2011 (UTC)

Copyright messages
Hello, I can clearly see you doing a lot of hard work, and I would like to be helpful in any way I can. I noticed there are a few images that you've uploaded lately that have been tagged for pending deletion because they have no copyright information. Rather than continue to add broiler plate warnings, it seemed like it be a good idea to discuss it with your directly.

Anyway I can be of help I will be. Did you take the pictures yourself? Do you mind how people reuse them? Thenub314 21:26, 31 October 2011 (UTC)

What is the copyright of File:Serial Monitor Button.png?
Unfortunately screen shots of software are not self works, the copyright has to be the one inherited from the software, or it must be marked as "fair-use".

Do you need assistance?
The issue of licensing and licensing templates, fair use, etc., can be arcane. Do you need any assistance with this? --Abd 22:48, 9 November 2011 (UTC)

Copyright problems on photos
Hello. There is a problem with one or more files you have uploaded. Every file you upload must have a clear statement of the copyright position. If you took the photos yourself, add PD-self if you are placing it unreservedly in the public domain. If you wish to retain minimal rights, add Cc-by-sa-3.0. If you did not take the photo, please add an explanation of why it can be hosted here. I am afraid that if you do not do this, the file wil be deleted. Let me know if you have any problems.--Collingwood (talk) 12:34, 7 July 2012 (UTC)

Files Missing License Information
Thank you for uploading files to Wikiversity. See Media for copyright and license requirements for Wikiversity files. All files must have copyright and/or license information added to the file.

Instructions for adding copyright and/or license information are available at License tags. Files must be updated within seven days or they may be removed without further notice. See Requests For Deletion for more information.

The following files are missing copyright and/or license information:
 * File:Crimped Wire.jpg
 * File:Digital Multimeter.jpg
 * File:PC Component Wires.jpg
 * File:PCComponent.jpg
 * File:Potentiometer and MIDI shield connected to Multimeter.jpg
 * File:Potentiometer to Arduino 1.jpg
 * File:Potentiometer With New Wires 1.jpg
 * File:Potentiometer With Wires Cut Off.jpg
 * File:PotentiometerSolderedByHand.jpg
 * File:Soldering Iron 1.jpg

MaintenanceBot (discuss • contribs) 03:41, 11 November 2013 (UTC)

title: User talk:Dmoreno1899


text:
Engineering Projects/Poppit/Howard Community College/Fall2011/502 1+1=11

Problem Statement
Poppit is a popular flash game where the player must pop balloons in specific patterns in order to reduce the total number of balloons on the screen. While it sounds simple enough, the game can be frustrating, and eliminating all of the balloons can prove challenging - perhaps even impossible.

The overall goal of the project is to find out if it's possible to beat the game 100% of the time. The class has been broken up into sub-teams, one of which is programming. Our objective is to write a program that, when given a screenshot of the starting screen, can identify the balloons, and reproduce them in a matrix with a similar structure to the one in the game. This is to be done with Processing, an open-sourced Java based programming language.

Team Members
Nathan Sweet

Wesley Rodriguez

Dominick Moreno

Youngwoo Ko

We have made a program that will take a print screen and load it onto processing. It will then look at the colors of the balloons at each coordinate and replace them with ovals. Then it will fill the oval in with the same color as the balloon in that coordinate.

Story
Originally, none of us knew anything about programming. We were given suggestions about how to go about completing the objective (namely being told about the "get" function that extracts the RGB color value from a single pixel, and can then be applied as a fill color to any shape). We also studied on our own, sharing our discoveries with one another at class meetings.

The actual program took a good amount of time, just working out the kinks, learning the programming language/syntax, and then putting in the legwork to make sure the get function was properly extracting all 150 balloons properly.

Decision List
List all formal decisions made with links to their documentation such as a decision tree or decision matrix.

None

Software List

 * Chrome
 * Processing
 * Poppit

Time
We estimated approximately 6-8 hours to appropriately learn the Processing language to the point where we felt confident actually moving forward with the project, and around 3-4 hours to actually complete.

Actual time spent was more like 3 or so hours simply practicing with the Processing client, and around 15 to complete the objective. These 15 hours, however, are misleading, as a considerable amount of time was spent learning more about Processing as the project was being worked on. Additionally, approximately 5-6 hours were spent just creating the coding triplets that each corresponded to one balloon, as each triple has completely unique (X,Y) coordinates.

Tutorials
See: Programming notes to understand how the bulk of this project works. Note: "//xxx" is a comment, and is not actually read by the program, and exist solely for the purpose of explaining elements of the code.

Next Steps
There is MUCH that can be done to work on this code, namely in the area of ensuring it is properly cropped. Ideally, as long as an image contains the full "Poppit" flash screen, we would want the code to run properly. This may be possible by specifying image size by somehow utilizing the "width/2, height/2" - though that's just an errant thought.

However what this code leaves most to be desired is a new background. These balloons are reproduced back on the Poppit image itself. The problem we had was that you can't mix active and static modes - namely that, it seems impossible to reproduce these balloons on, say, a black background. In order to extract the "get" values from the image, there can be no image in between the extraction and where the file is loaded in the code (say, for example, a black rectangle that is used as a backdrop), or else the color from the extraction will take the that (ie the black backdrop) color instead of the image, and you won't have the correct color of balloon.

It might be possible if a code could be produced that creates two images - one that simply loads the image and extracts the RGB color values, and another that is simply a black backdrop with all 150 balloons, whose colors use the extracted values from the original value. However, this feels unnecessary complicated, and the first image is not at all necessary, and would not necessarily streamline the program.

Additionally, any method that could shorten the code would be incredibly useful, however, we came up with no other method to do this that just writing the triplets for each balloon.

Programming Notes
The actual program is fairly simple, yet lengthy. The most important sections of the code are lines 1-18, where the image is established. The full code can be viewed here

It works by first loading the image in active mode, as seen in lines 1-13. In order to determine the color of each balloon, the "get" function is used to extract the RGB color value of a specified pixel (in the case of cp1_10, the pixel that is located at (295, 50)). This color is then applied to an ellipse with a center at the exact same pixel the color was extracted from. All ellipses in the program have a width and height of 32 pixels.

The code has 150 iterations of lines 16-18, 1 for every balloon in the game. Each Triplet has a unique (X, Y) coordinate for the get function, location of the ellipse, and cpX_Y color value. The code is 621 lines long, and is accurate, so long as the image used is at least decently cropped (though it does not need to be precisely 1026X769 pixels as in the example).

The first 18 lines of the code are displayed below:

<!--


text:
User:Wesley Rodriguez

Link to project Coanda/Howard Community College/Spring2012/p501acm team page.

Give instructor top 3 project choice list
Typically the instructor picks teams. Students send the instructor their top 3 choices. The project choices are typically those found at Category:General_Engineering_Projects. The instructor tries to put students in the project of their choice. Put your top three choices here after they are used to assign you to this project. Create a link to the project root and to where your team will be working.

Write problem statement
Look through the existing problem statements. Find something not yet done on the project. Create a problem statement for it. Think of a new subsystem that needs to be built for the project. The goal is something simple, possible, for zero dollars.

Assign Task1
Tasks are typically done over the weekend. They are documented during the week, presented during the week and the next weekends work is negotiated during the week. Week 0 is the week that task 1 is negotiated. Record your individual task here. Plan on working on it during the weekend between week0 and week1.

Compare actual work done to Task1
Rationalize differences

Week1 Narrative
Upload photos to wikimedia. Upload video to youtube. Convert all spreadsheets, documents, and presentations to wiki format and create wiki subpage of your page for each of them. Link to them here in a narrative that tells a story. High light the problems (engineering problems) you had and how you solved them.

Week1 Peer Review
Go to each team mates weekly summary wiki page. Read their activities and narrative. Then go the associated discussion page. Say something positive on this page. Try some constructive criticism. Add your name and 1sfoerster 13:32, 28 August 2011 (UTC) to create a time and date stamp. Create a new category if another team mate has already commented here.

Assign Task2
Record what you are planning on doing for the team during the weekend between week1 and week2 of the project here.

Compare actual work done to Task2
Rationalize differences

Week2 Narrative
Upload photos to wikimedia. Upload video to youtube. Convert all spreadsheets, documents, and presentations to wiki format and create wiki subpage of your page for each of them. Link to them here in a narrative that tells a story. High light the problems (engineering problems) you had and how you solved them.

Week2 Peer Review
Go to each team mates weekly summary wiki page. Read their activities and narrative. Then go the associated discussion page. Say something positive on this page. Try some constructive criticism. Add your name and 1sfoerster 13:32, 28 August 2011 (UTC) to create a time and date stamp. Create a new category if another team mate has already commented here.

Assign Task3
Record what you are planning on doing for the team during the weekend between week2 and week3 of the project here.

Compare actual work done to Task3
Rationalize differences

Week3 Narrative
Upload photos to wikimedia. Upload video to youtube. Convert all spreadsheets, documents, and presentations to wiki format and create wiki subpage of your page for each of them. Link to them here in a narrative that tells a story. High light the problems (engineering problems) you had and how you solved them.

Week3 Peer Review
Go to each team mates weekly summary wiki page. Read their activities and narrative. Then go the associated discussion page. Say something positive on this page. Try some constructive criticism. Add your name and 1sfoerster 13:33, 28 August 2011 (UTC) to create a time and date stamp. Create a new category if another team mate has already commented here.

Assign Task4
Record what you are planning on doing for the team during the weekend between week3 and week4 of the project here.

Compare actual work done to Task4
Rationalize differences

Week4 Narrative
Upload photos to wikimedia. Upload video to youtube. Convert all spreadsheets, documents, and presentations to wiki format and create wiki subpage of your page for each of them. Link to them here in a narrative that tells a story. High light the problems (engineering problems) you had and how you solved them.

Week4 Peer Review
Go to each team mates weekly summary wiki page. Read their activities and narrative. Then go the associated discussion page. Say something positive on this page. Try some constructive criticism. Add your name and 1sfoerster 13:33, 28 August 2011 (UTC) to create a time and date stamp. Create a new category if another team mate has already commented here.

Complete Project Page
Follow the "project done" format.

Start Next Project Week0 activities
During this week you will perform the week0 activities of the next project.

title: User:Wesley Rodriguez


text:
User:Solstag/Portuguese Wikipedia Qualitative Researcher/Test

Choose what you think is the most active community discussion page in Portuguese Wikipedia (this may or may not be a Village Pump). Please provide a link to the page and one sentence about why you chose it. Read through the discussions that have happened there in the past month, and provide a brief summary (think bullet points) of the types of discussions you see there, focusing on the following:

new editors, the same 3 people over and over?)
 * Who is doing most of the talking? (Administrators, veteran editors,
 * What are the main topics of discussion?
 * What is the tone of these discussions? (aggressive, polite, neutral, etc)

Deadline: Thursday 9 a.m. PST. We expect that this task should take you just a couple of hours, so please be concise.

Choosing the page

 * 1) Checked recent changes for frequent "Wikipédia" domain changes, plus discussions at the various Esplanadas (generic, proposals and announcements "Village Pumps").
 * 2) Shortlisted most active pages to:
 * 3) * w:pt:Wikipédia:Contato/Fale_com_a_Wikipédia, external contact page
 * 4) * w:pt:Wikipédia:Pedidos_a_administradores/Pedidos_de_bloqueio, page for user blocking requests
 * 5) * w:pt:Wikipédia:Esplanada/geral, general discussion Village Pump
 * 6) * w:pt:Wikipédia:Esplanada/propostas, proposal discussion Village Pump
 * 7) Picked w:pt:Wikipédia:Esplanada/propostas, because of its higher number of edits and participants relative to w:pt:Wikipédia:Esplanada/geral, and because both w:pt:Wikipédia:Contato/Fale_com_a_Wikipédia and w:pt:Wikipédia:Pedidos_a_administradores/Pedidos_de_bloqueio are often more issue tracking than discussion pages.
 * 8) We will analyze this version of the page, including the first discussion topic even though it started over a month ago, since there are later replies.

Discussion topics
The chosen page is devoted to proposing and deliberating about changes to Wikipédia policies, and contains 28 discussion topics with a total of 13 subtopics. The page itself is composed of many different pages put together by inclusion, as that makes it easier for the community to track and organize around each proposal.

We will first report about participation and mood on each topic independently, and then summarize our findings.

Some definitions: messages are short if under 200 characters, long if over 2000 characters, medium otherwise; participants are admin if administrators, veteran if they hold voting rights, new otherwise; participants are most present when they clearly stand out in the number of interventions relative to the size of the conversation, we leave this quantitatively undefined;

For this test, except for the first topic as an example of how we would expect the quantitative team to assist us, we don't actually fill in the quantitative data on Messages and Participants, but we include those items everywhere as we understand the qualitative analysis presented is significantly less valuable to the reader without them.

Logo da Wikipédia dos 700.000 artigos

 * Theme: changing the logo to celebrate 700.000 articles
 * Messages: 0 long, 2 medium, 5 short
 * Participants: 0 admin, 6 veteran, 0 new
 * Most present: none, but a veteran started the discussion.
 * Tone: all polite
 * Long story short: Quick discussion, proposal was soon dismissed.

Impedir que IPs criem artigos

 * Theme: whether unregistered users should be allowed to create articles; later, also whether to restrict unregistered edits outside the article namespace
 * Messages: X long, X medium, X short (~150 total)
 * Participants: X admin, X veteran, X new (~20 total, 1 unregistered)
 * Most present: a veteran started the discussion, some administrators soon joined, as did other veterans, but a group of 1 administrators and 3 veterans were the most vocal at first; as the topic moved, that proportion remained constant, though the individuals changed; one individual administrator was present throughout most of the debate; very few newbies participated, if any, and only one seemingly veteran unregistered user.
 * Tone: mostly polite, with moments of tension and accusation; a slight risk of tension in the beginning when people were dismissing the very merit of raising the issue, but that was evaded; some tension building up when a subtopic emerged comparing one position to a pessimistic literary figure, but the level of civility remained stable; more tension did build up when the discussion became really large and some confusion ensued, as a few veterans started replying to side issues as if they were the main proposal, which led to that same user repeating the literary comparison;
 * Long story short: some administrators showed up to challenge the need to discuss this issue again; some veterans contested that view, and participants soon moved to arguments based on statistics, reasoning, personal experience and wiki principles, plus comparison to other wikis; alternative tools were discussed to deal with the problems arising from unregistered page creation, such as filters; a different proposal also emerged, to restrict unregistered edits - not only new pages - outside the article namespace, but clear problems with this were raised and most vocal veterans changed sides along this discussion; by the end, there was a lot of general discussion on the roles of unregistered users on Wikipédia, and an apparent disposition to try flagged revisions once it starts rolling out again; one last proposal emerged, regarding the policy for deleting new articles, but it was moved into another topic.

Eleições para senador e governador no Brasil

 * Theme: wheter to break articles about state elections in two
 * Messages: 0 long, 0 medium, 2 short
 * Participants: 0 admin, 2 veteran, 0 new
 * Most present: none, but a veteran started the discussion.
 * Tone: all polite.
 * Long story short: participants disagreed, it was suggested to simply improve the existing page, no explicit decision was made.

Permitir atribuição local do estatuto de confirmado

 * Theme: wheter to have local attribution of confirmed status
 * Messages: 0 long, 1 medium, 10 short
 * Participants: X admin, X veteran, X new (~10 total, 1 unregistered)
 * Most present: none, but an administrator started the discussion.
 * Tone: all polite.
 * Long story short: confirmed status, which waives the captcha, was only assigned automatically or by a request to a steward; all agreed that local administrators should be allowed to give users that status; a bug report was filled by the administrator who started the discussion.

Retirada do Anexo bom

 * Theme: whether to discard the standard for a good annex
 * Messages: 0 long, 3 medium, 2 short
 * Participants: 2 admin, 2 veteran, 0 new
 * Most present: none, but a veteran started the discussion.
 * Tone: all polite.
 * Long story short: the need for a standard of a good annex, in addition to that of a featured annex, was questioned; reasons for and against were presented by different users, but the discussion was dropped before any consensual decision.

Proposta sobre a deleção de novos artigos por ER / ESR
Essa proposta é um desdobramento da discussão sobre a proibição de páginas criadas por IPs. A proposta consitiu na criação de um link nas páginas eliminadas por ER ou ESR para que o novo editor possa questionar sobre a eliminação. Participaram 4 administradores e 8 usuários experientes. O tom foi polido e houve um único argumento contrário dizendo que isso já está escrito no aviso de eliminação.

Mudar propósito padrão do URC
Proposta para a flexibilização do URC. 3 usuários experientes participaram em 4 mensagens e a discussão foi num tom polido. A disucssão tende a negar a proposta.

Filtro de Spam
Discussão sobre o bloqueio ao youtube pelo filtro de spam. 3 usuários experientes em 3 mensagens polidas. Indicaram que o proponente fizesse a solicitação no meta.

Acabar de vez com a guerra das referências (padronização de referências)
Sugestão para a padronização na utilização de referências. 14 usuários experientes, 1 administrador em 41 mensagens. A discussão se dividiu em 3 partes, o tom foi neutro. O proponente reformulou a proposta 2 vezes conforme surgiam divergências. Ao final não houve um consenso e o tom ficou agressivo entre o proponente e um usuário experiente.

Reformulação da proposta
Continuação de "Acabar de vez com a guerra das referências (padronização de referências)"

Decisão final
Continuação de "Acabar de vez com a guerra das referências (padronização de referências)"

Notas
Continuação de "Acabar de vez com a guerra das referências (padronização de referências)"

Categoria de páginas para eliminação rápida
Sugestão de alteração de nomenclatura. 3 usuários experientes, 1 administrador, 4 mensagens em tom neutro. Todos concordaram com a proposta.

Liberalizar a página principal
Sugestão de abertura das adições na página principal. 3 usuários experientes, 3 mensagens. Um usuário colocou em tom agressivo a diferença entre a wikiédia e o wikinews.

Traduzir artigos é uma boa prática?
Proposta para desistimular as traduções de artigos. 4 usuários experientes, 1 administrador e 1 usuários novato (pela qualidade da argumentação na proposta deve se tratar de um sock puppet). 9 mensagens em tom neutro. O proponente reviu seu posicionamento no final.

Fotos para os artigos das cidades
Proposta para aumentar o número de imagens de cidade. 2 usuários experientes e 2 administradores. Discussão em tom polido com 8 mensagens. Ficou a impressão de estimular a postagem de imagens de cidades nos moldes do Wiki Loves Monuments.

Páginas curtas
Proposta para retirar as páginas em desambiguação das páginas curtas. 7 usuários experientes em 9 mensagens de tom polido. Todos concordaram com a proposta, pois facilitará o trabalho de quem melhora artigos curtos.

Textos de uso restrito
Proposta de alteração do texto sobre Uso Restrito de Conteúdo. 4 usuários experientes e 1 administrador em 12 mensagens. A discussão ocorreu em tom neutro com a posição contrária por parte do adminsitrador.

Voto qualificado em PE
Discussão sobre critérios para validar a justificativa em votos de PE. ~50 comentários em tom neutro. ~10 usários e 1 administrador. O proponente queria estabelecer critérios objetivos para a justficativa de votos de. Os votos de PE devem obrigatoriamente ser justificados, caso constrário, são anulados. As argumentações de um grupo de usuários (mais) experientes vai no sentido de manter certa subjetividade nesse processo, demandando a análise e reflexão do votante e dificultando o automatismo do voto quantitativo.

Critérios de notoriedade para estúdios e emissoras
Definição de critérios de notoriedade. 6 usuários experientes em 10 mensagens de tom neutro. Os critérios foram aceitos.

Critérios de notoriedade para programas de televisão
Definição de critérios de notoriedade. 5 usuários experientes e 2 adminsitradores em 9 mensagens de tom neutro. Os critérios novos devem ser aceitos com a manutenção dos antigos.

Impugnação de ESR
Alteração do texto de ESR. 8 usuários experientes e 2 administradores em 28 postagens em tom neutro. Um administrador apresenta um caso sobre uma atitude antiga do proponente que se relaciona com a proposta. Isso indica que a proposta serve para provar o ponto de vista do proponente e/ou solucionar um problema que ele enfrentou. O problema consiste na impugnação de um pedido de ESR e tranformação em PE. O proponente pretende clarificar os critérios.

Argumentos pertinentes e a evitar em discussões de eliminação

 * Theme: on which arguments apply or should be avoided as justifications when voting in deletions proposals

 * Messages: X long, X medium, X short

 * Participants: X admin, X veteran, X new
 * Most present: 2 veterans and 1 administrator do most of the talking, but others join at specific points.

 * Tone: polite for the most parts, sometimes neutral.

A veteran editor sees a problem with ill justified votes in deletion proposals, and wants to change two essays on criteria to justify votes into recommendations. He argues based on his understanding that there is a problem and on past experience of the community. Other veteran editors and an admin join him, some raising issues with the current text of the essay, others showing a more fundamental opposition to the idea. The supporters try to fix the text and bring alternative middle-ground solutions. There is no conclusion since the discussion is still ongoing.
 * Long story short:

Critérios para artigos destacados
Mudança dos critérios para articos destacados. 13 usuários experientes e 2 adminsitradores, em ~60 mensagens, em tom neutro. O proponente fala em aumentar os critérios quantitativos para a promoção de um artigo destacado. Há argumetnos contrários sobre a ineficiencia dessa ação e julgam que o problema está na falta de qualificação dos votos. Novamente, fala-se em anular votos que não forem justificados de maneira suficiente. A discussão continua em andamento e com tendência para alteração dos critérios.

Recursos em domínio público

 * Theme: public domain information's page.
 * Messages: 0 long, 0 medium, 6 short
 * Participants: 0 admin, 3 veteran, 0 new
 * Most present: The veteran who started the discussion, 3 messages.
 * Tone: all polite
 * Long story short: The proposal is still under discussion. Everyone (2) agrees with the use of a new page with information about public domain content, but the old title should be maintained.

Fusão, melhor exemplo

 * Theme: replace page content.
 * Messages: 0 long, 0 medium, 1 short
 * Participants: 0 admin, 1 veteran, 0 new
 * Most present: none, but a veteran started the discussion.
 * Tone: all polite
 * Long story short: The proposal is still under discussion. Offers a better explanation to the page about fusions to be made.

Ajuda:Guia de tradução

 * Theme: wikilove implementation tools.
 * Messages: 0 long, 0 medium, 2 short
 * Participants: 0 admin, 2 veteran, 0 new
 * Most present: none, but a veteran started the discussion.
 * Tone: all polite
 * Long story short: Change the location to the articles list to be translated. The proposal is still under discussion.

Wikilove

 * Theme: wikilove implementation tools.
 * Messages: 0 long, 0 medium, 5 short
 * Participants: 2 admin, 3 veteran, 0 new
 * Most present: none, but a veteran started the discussion.
 * Tone: all polite
 * Long story short: The proposal is still under discussion. Everyone (5) agrees with the implementation of wikilove's tools.

Summary
A small number of veteran users and administrators, around 15, seem to take part in most discussions. Such discussions usually happen in a polite or neutral tone. There are no exalted comments, but sometimes there is use of irony to disqualify an opposing point of view. New users and unregistered users have close to no participation.

Of the discussions above, around 12 deal with processes or criteria for the deletion or acceptance of new articles. Then there are around the same number of discussions regarding the improvement or addition of content. Only two discussions deal with community issues ("logo 700k" and "Wikilove"). Of all these, 8 of them were started by the same veteran editor.

Discussions related to vote justifications were frequent, as it is required that votes in deletion proposals be justified, while it is not clear what should count as a justification. It is argued that more stringent criteria would limit participation and place too much power in the hands of administrators, while less stringent criteria renders the requirement ineffective in promoting more consensual deliberation and discouraging puppets and carelessness.


text:
User:Egm6321.f11.team2.kim/PR1

First total time derivative

$$\displaystyle S=Y^1(t)$$ $$ \displaystyle \frac {d}{dt}f(Y^1(t),t)=\frac {\partial f(S,t)}{\partial S}\frac {\partial S}{\partial t}+\frac {\partial f(S,t)}{\partial t}

= \frac {\partial f(Y^1(t),t)}{\partial S} \frac {\partial}{\partial t}(Y^1(t))+\frac {\partial f(S,t)}{\partial t} = \frac {\partial f(Y^1(t),t)}{\partial S} \dot Y^1 +\frac {\partial f(Y^1(t),t)}{\partial t} $$ Second total time derivative $$ \displaystyle \frac {d}{dt}(\frac {\partial f(Y^1(t),t)}{\partial S} \dot Y^1 +\frac {\partial f(Y^1(t),t)}{\partial t})= \frac {d}{dt}(\frac {\partial f(S,t)}{\partial S}\frac {\partial S}{\partial t}+\frac {\partial f(S,t)}{\partial t}) $$ $$ =\displaystyle \frac {\partial^2 f(S,t)}{\partial S \partial S}\frac {\partial S}{\partial t} \frac {\partial S}{\partial t} + \frac {\partial^2 f(S,t)}{\partial S \partial t} \frac {\partial S}{\partial t} + \frac {\partial f(S,t)}{\partial S} \frac {\partial^2 S}{\partial t^2} + \frac {\partial^2 f(S,t)}{\partial S}{\partial t} \frac{\partial S}{\partial t} + \frac {\partial^2 f(S,t)}{\partial t^2}

$$ $$ =\displaystyle \frac {\partial^2 f(S,t)}{\partial S \partial S}\dot Y^1\dot Y^1 + \frac {\partial^2 f(S,t)}{\partial S \partial t} \dot Y^1 + \frac {\partial f(S,t)}{\partial S} \ddot Y^1 + \frac {\partial^2 f(S,t)}{\partial S \partial t} \dot Y^1 + \frac {\partial^2 f(S,t)}{\partial t^2} $$ $$ =\displaystyle \frac {\partial^2 f(Y^1(t),t)}{\partial S \partial S}(\dot Y^1)^2 + \frac {\partial^2 f(Y^1(t),t)}{\partial S \partial t} \dot Y^1 + \frac {\partial f(Y^1(t),t)}{\partial S} \ddot Y^1 + \frac {\partial^2 f(Y^1(t),t)}{\partial S \partial t} \dot Y^1 + \frac {\partial^2 f(Y^1(t),t)}{\partial t^2} $$ $$\displaystyle \frac{d^2f}{dt^2}=f_{,S}(Y^1,t)\ddot Y^1 + f_{,SS}(Y^1,t)(\dot Y^1)^2 + 2f_{,St}(Y^1,t)\dot Y^1 + f_{,tt}(Y^1,t) $$

$$ \frac{d^2\mathbf{A}}{dt^2} = \frac{d}{dt}(\frac{d'\mathbf{A}}{dt} +\mathbf{\Omega} \times \mathbf{A}) $$
 * $$ = \frac{d}{dt}(\frac{d'\mathbf{A}}{dt}) + \mathbf{\Omega} \times \frac{d\mathbf{A}}{dt} + \frac{d\mathbf{\Omega}}{dt} \times \mathbf{A} $$
 * $$ = \frac{d'^2\mathbf{A}}{dt^2} + \mathbf{\Omega} \times \frac{d'\mathbf{A}}{dt} + \mathbf{\Omega} \times (\frac{d'\mathbf{A}}{dt} +\mathbf{\Omega} \times \mathbf{A}) + \frac{d\mathbf{\Omega}}{dt} \times \mathbf{A} $$
 * $$ = \frac{d'^2\mathbf{A}}{dt^2} + 2\mathbf{\Omega} \times \frac{d'\mathbf{A}}{dt} + \mathbf{\Omega} \times (\mathbf{\Omega} \times \mathbf{A}) + \frac{d\mathbf{\Omega}}{dt} \times \mathbf{A} $$

$$\frac{d\mathbf{A}}{dt} =  \frac{d\mathbf{A'}}{dt} + V $$
 * $$=\mathbf{v'}+ V $$
 * $$=\mathbf{\dot{A_x'}} \hat \mathbf{x'} +\mathbf{\dot{A_y'}} \hat \mathbf{y'} +\mathbf{\dot{A_z'}} \hat \mathbf{z'}+ +\mathbf{A_x'}\frac{d\mathbf{\hat x'}}{dt} + \mathbf{A_y'}\frac{d\mathbf{\hat y'}}{dt}+\mathbf{A_z'}\frac{d\mathbf{\hat z'}}{dt} $$

이를 바탕으로 회전좌표계에서 x', y', z' 의 단위벡터의 회전을 적용하여 표현하면 다음과 같다.

$$\frac{d\mathbf{A}}{dt} =  \frac{d'\mathbf{A}}{dt} +\mathbf{A_x'}(\mathbf{\Omega} \times \mathbf{\hat x'}) + \mathbf{A_y'}(\mathbf{\Omega} \times \mathbf{\hat y'}) + \mathbf{A_z'}(\mathbf{\Omega} \times \mathbf{\hat z'})$$
 * $$ = \frac{d'\mathbf{A}}{dt} +\mathbf{\Omega} \times (\mathbf{A_x'}\mathbf{\hat x'} + \mathbf{A_y'}\mathbf{\hat y'} + \mathbf{A_z'}\mathbf{\hat z'})$$
 * $$ = \frac{d'\mathbf{A}}{dt} +\mathbf{\Omega} \times \mathbf{A} $$

title: User:Egm6321.f11.team2.kim/PR1


text:
User:Egm6321.f11.team2.kim/PR2

= Problem 2.2- L2 ODE CC =

Given
$$\displaystyle y''+ y'y(x) = x $$ $$\displaystyle p(x):=y'(x)$$ $$\displaystyle p' + p = x$$(2.2.1) Solution is that $$\displaystyle p(x)= k_1 e^{-x}+x-1 $$(2.2.2)

Find
Verify that eq (2.2.2) is indeed solution for eq (2.2.1).

Solution
Equation 2.2.1 is that $$\displaystyle p' + p = x$$(2.2.1) And now Let $$\displaystyle T = x - p$$ $$\displaystyle \frac {dT}{dx}= 1 - p' $$ $$\displaystyle p'=1- \frac {dT}{dx}$$ Plug in eq (2.2.1) The equation 2.2.1 is following that $$\displaystyle 1- \frac{dT}{dx} = t$$ $$\displaystyle 1 - t = \frac {dT}{dx} $$ $$\displaystyle dx = -\frac {dT}{(t-1)}$$ $$\displaystyle -k - x = ln(t-1)$$ $$\displaystyle t - 1 = e^{-k-x}$$ $$ \displaystyle t= 1 - ke^{-x}$$ $$ \displaystyle p(x)= x - t = ke^{-x} + x - 1$$(2.2.2) It shows that eq (2.2.2) is indeed solution for eq (2.2.1).

= Problem 2.8 - First exactness condition =

Given
First exactness condition is that $$\displaystyle M(x,y) + N(x,y)\frac {dy}{dx} = 0$$

Find
Does the following N1-ODE satisfy the first exactness condition? $$\displaystyle M(x,y)cosy' + N(x,y)logy' = 0$$(2.8.1)

Solution
In order to satisfy the first exactness condition, it must be in the form of: $$\displaystyle M(x,y) + N(x,y)\frac {dy}{dx} = 0$$ $$\displaystyle y'= -\frac{M(x,y)}{N(x,y)}$$(2.8.2) So rearrange eq (2.8.1) to fit eq (2.8.2) $$\displaystyle M(x,y)cosy' + N(x,y)logy' = 0$$ $$\displaystyle M(x,y) + N(x,y)\frac{logy'}{cosy'}=0$$ $$\displaystyle f(y')=\frac{logy'}{cosy'}$$ $$\displaystyle f(y')$$ is any function of y'. If the function $$\displaystyle f(y')$$ has no explicit inverse $$\displaystyle f^{-1}(y'),$$ then it can not satisfy in the form of eq (2.8.2) In this case, $$\displaystyle f(y')$$ does not have exact inverse $$\displaystyle f^{-1}(y')$$ Thus, This does not satisfy the first exactness condition.

= Problem 2.14 - General L1-ODE-VC =

Given
$$\displaystyle h(x)=exp\left[\int^x a_0(s)ds + k_1\right] $$(2.14.1) $$\displaystyle y(x)=\frac {1}{h(x)}\left[\int^x h(s)b(s)ds + k_2 \right]$$(2.14.2) $$\displaystyle a_1(x)y'+a_0(x)y= b(x)$$(2.14.3)

Find
Solve the general L1-ODE-VC 1. $$\displaystyle a_1(x)=1$$ $$\displaystyle a_0(x)=x$$ $$\displaystyle b(x)=2x + 3 $$ 2. Find $$\displaystyle y(x)$$ in term of $$\displaystyle a_1(x), a_0(x), b(x)$$ 3. $$\displaystyle a_1(x)=x^2+1$$ $$\displaystyle a_0(x)=x$$ $$\displaystyle b(x)=2x$$

Solution
an integrating factor is a function that is chosen to facilitate the solving of a given equation involving differentials. It is commonly used to solve ordinary differential equations, but is also used within multivariable calculus, in this case often multiplying through by an integrating factor allows an inexact differential to be made into an exact differential. From lecture note, $$\underbrace{\left( hM \right)}_+\underbrace{\left( hN \right)}_{y}'=0$$ And applying second exactness condition, the equation is following that $$\underbrace{\left( h\frac{\partial M}{\partial y}+M\frac{\partial h}{\partial y} \right)}_{\frac{\partial \bar{M}}{\partial y}}=\underbrace{\left( h\frac{\partial N}{\partial x}+N\frac{\partial h}{\partial x} \right)}_{\frac{\partial \bar{N}}{\partial x}}$$ If we assume that $$\displaystyle h_y(x,y)=0$$, then h is function of x only and the equation is following that $$\left( h\frac{\partial M}{\partial y} \right)=\left( h\frac{\partial N}{\partial x}+N\frac{\partial h}{\partial x} \right)$$ And we obtain some equations through rearranging equation above $$\displaystyle h{{N}_{x}}+N{{h}_{x}}-h{{M}_{y}}=0$$ $$\displaystyle {{N}_{x}}=\frac{\partial N}{\partial x}$$ $$\displaystyle {{M}_{y}}=\frac{\partial M}{\partial y}$$ $$\displaystyle {{h}_{x}}=\frac{\partial h}{\partial x}$$ And we can obtain h(x) through dividing by h

$$\displaystyle \frac {h_x}{h}=-\frac{1}{N}(\underbrace{N_x}_{0}-\underbrace{M_y}_{a_0(x)})=a_0(x)$$ $$\displaystyle h(x)={{e}^{-\int{\frac{1}{N}\left( {{N}_{x}}-{{M}_{y}} \right)dx}}}=exp\left[\int^x a_0(s)ds + k_1\right] $$(2.14.1) And in order to obtain y(x), we can apply the integrating factor to obtain the following equations $$\displaystyle y'+a_0y=b \rightarrow h(y'+a_0y)=hb$$ and $$\displaystyle h_x/h=a_0 \rightarrow ha_0=h_x=h'$$ $$\displaystyle hy'+h'y=hb$$ Thus, $$\displaystyle y(x)=\frac {1}{h(x)}\left[\int^x h(s)b(s)ds + k_2 \right]$$(2.14.2)

part 1
1. In order to solve this problems, plug given information in eq (2.14.3) the equation is following that $$\displaystyle y'+ xy = 2x + 3 $$ Also, eq (2.14.1) is following that $$\displaystyle h(x)=exp\left[\int^x sds+k_1\right] $$ $$\displaystyle h(x)=exp\left[\frac {1}{2}s^2\right]$$ And eq (2.14.2) is following that $$\displaystyle y(x)=\frac {1}{h(x)}\left[\int^x h(s)b(s)ds + k_2 \right]$$ $$\displaystyle = \frac {1}{exp\left[\frac {1}{2}x^2\right]}\left[\int^x exp\left[\frac {1}{2}s^2\right]*(2s+3)ds+k_2\right]$$ $$\displaystyle =\frac {1}{exp\left[\frac {1}{2}x^2\right]}\left[\int^x e^{\frac {1}{2}s^2}*2sds+\int^x e^{\frac {1}{2}s^2}*3ds\right]$$ Let $$\displaystyle t= \frac {s^2}{2}$$ $$\displaystyle \frac {dt}{s}=ds$$ Finally, the equation is that $$\displaystyle y(x) =\frac {1}{exp\left[\frac {1}{2}x^2\right]}\left[\int^x 2e^tdt+\int^x e^{\frac {1}{2}s^2}*3ds\right]=\frac {1}{exp\left[\frac {1}{2}x^2\right]}\left[2e^{\frac {x^2}{2}}+\int^x e^{\frac {1}{2}s^2}*3ds\right]$$ In order to solve more, numerical method must be used.

part 2
From eq 2.14.3 $$\displaystyle a_1(x)y'+a_0(x)y= b(x)$$ $$\displaystyle y'+ \frac {a_0(x)}{a_1(x)}y=\frac {b(x)}{a_1(x)}$$ and plug in eq 2.14.1 $$\displaystyle h(x)=exp\left[\int^x \frac {a_0(s)}{a_1(s)}ds\right] $$ $$\displaystyle y(x)=\frac {1}{exp\left[\int^x \frac {a_0(s)}{a_1(s)}ds\right]}\left[\int^x exp \left[ \int^x \frac {a_0(s)}{a_1(s)}ds \right] \frac{b(s)}{a_1(s)}ds\right]$$

title: User:Egm6321.f11.team2.kim/PR2


text:
Engineering Projects/Gyro Accelerometer

Idea
Gyros and Accelerometers are simple conceptually. Physically implementing the software that can balance a hover craft or helicopter is difficult. A test apparatus needs to be designed so that data can be collected real time. Perhaps the test can be automated so that three linear directions and three circular directions are sequenced and repeated. This could turn into a demo/tutorial that lowers the associated learning curve.

Subsystems

 * Gimbal and XYZ stand
 * Automation
 * Arduino
 * Communication with Computer

Tutorials
Arduino Introduction

A Guide to Learn Gyro

title: Engineering Projects/Gyro Accelerometer


text:
User:Egm6321.f11.team2

Welcome to the public Wikiversity Web site for Team 2 of the University of Florida's Fall 2011 Principles of Engineering Analysis course (EGM 6321)

Please add your name on Team2 members =Homework Assignments= Report #1

Report #2

Report #3

Report #4

Report #5

Report #6

Report #7

=Team2 Members= Keunhyong Kim

Jonathan Epps

Yuvraj Johri Seounghyun Rho

Gary Wise

Lang Xia

=Useful Links= EGM 6321 Class wiki

Course Report table

Course Lecture plan

title: User:Egm6321.f11.team2


text:
User:Egm6321.f11.team2/HW1

=Problem 1.1- Total derivative=

Given
The first total time derivative is given by $$\displaystyle \frac {d}{dt}f(Y^1(t),t)=\frac {\partial f(Y^1(t),t)}{\partial S}\dot Y^1 + \frac {\partial f(Y^1(t),t)}{\partial t} $$ with $$\displaystyle \dot Y^1 := \frac {dY^1(t)}{dt}$$

Find
Show that

$$\displaystyle \frac{d^2f}{dt^2}=f_{,S}(Y^1,t)\ddot Y^1 + f_{,SS}(Y^1,t)(\dot Y^1)^2 + 2f_{,St}(Y^1,t)\dot Y^1 + f_{,tt}(Y^1,t) $$

with

Solution
Solved on my own

Chain Rule
According to chain rule , the chain rule is a formula for computing the derivative of the composition of two or more functions. That is, if f is a function and g is a function, then the chain rule expresses the derivative of the composite function f ∘ g in terms of the derivatives of f and g.

Example
Given $$u = x^2 + 2y$$ where $$x = r\sin(t)$$ and $$y = \sin^2(t)$$, determine the value of $$\partial u/\partial r$$ and $$\partial u/\partial t$$ using the chain rule.

$$ \begin{align} \frac{\partial u}{\partial r}&=\frac{\partial u}{\partial x}\frac{\partial x}{\partial r}+\frac{\partial u}{\partial y}\frac{\partial y}{\partial r} \\&= \left(2x\right)\left(\sin(t)\right)+\left(2\right)\left(0\right) \\&=2r\sin^2(t) \end{align} $$

and

$$ \begin{align} \frac{\partial u}{\partial t}&=\frac{\partial u}{\partial x}\frac{\partial x}{\partial t}+\frac{\partial u}{\partial y}\frac{\partial y}{\partial t} \\&= \left(2x\right)\left(r\cos(t)\right)+\left(2\right)\left(2\sin(t)\cos(t)\right) \\&= 2\left(r\sin(t)\right)r\cos(t)+4\sin(t)\cos(t) \\&= 2\left(r^2+2\right)\sin(t)\cos(t) \end{align} $$

First total time derivative
$$ \begin{align} S&=Y^1(t) \\ \frac {d}{dt}f(Y^1(t),t)&=\frac {\partial f(S,t)}{\partial S}\frac {\partial S}{\partial t}+\frac {\partial f(S,t)}{\partial t} \\ &= \frac {\partial f(S,t)}{\partial S} \frac {\partial S}{\partial t}+\frac {\partial f(S,t)}{\partial t} \\ &= \frac {\partial f(Y^1(t),t)}{\partial S} \dot Y^1 +\frac {\partial f(Y^1(t),t)}{\partial t} \end{align} $$

Second total time derivative
$$ \displaystyle \frac {d}{dt}(\frac {\partial f(Y^1(t),t)}{\partial S} \dot Y^1 +\frac {\partial f(Y^1(t),t)}{\partial t})= \frac {d}{dt}(\frac {\partial f(S,t)}{\partial S}\frac {\partial S}{\partial t}+\frac {\partial f(S,t)}{\partial t}) $$ $$ =\displaystyle \frac {\partial^2 f(S,t)}{\partial S \partial S}(\frac {\partial S}{\partial t})^2 + \frac {\partial^2 f(S,t)}{\partial S \partial t} \frac {\partial S}{\partial t} + \frac {\partial f(S,t)}{\partial S} \frac {\partial^2 S}{\partial t^2} + \frac {\partial^2 f(S,t)}{\partial S \partial t} \frac{\partial S}{\partial t} + \frac {\partial^2 f(S,t)}{\partial t^2}

$$ $$ =\displaystyle \frac {\partial^2 f(S,t)}{\partial S \partial S}\dot Y^1\dot Y^1 + \frac {\partial^2 f(S,t)}{\partial S \partial t} \dot Y^1 + \frac {\partial f(S,t)}{\partial S} \ddot Y^1 + \frac {\partial^2 f(S,t)}{\partial S \partial t} \dot Y^1 + \frac {\partial^2 f(S,t)}{\partial t^2} $$ $$ =\displaystyle \frac {\partial^2 f(Y^1(t),t)}{\partial S \partial S}(\dot Y^1)^2 + \frac {\partial^2 f(Y^1(t),t)}{\partial S \partial t} \dot Y^1 + \frac {\partial f(Y^1(t),t)}{\partial S} \ddot Y^1 + \frac {\partial^2 f(Y^1(t),t)}{\partial S \partial t} \dot Y^1 + \frac {\partial^2 f(Y^1(t),t)}{\partial t^2} $$ $$ =\displaystyle \frac {\partial f(Y^1(t),t)}{\partial S} \ddot Y^1 + \frac {\partial^2 f(Y^1(t),t)}{\partial S \partial S}(\dot Y^1)^2 + 2\frac {\partial^2 f(Y^1(t),t)}{\partial S \partial t} \dot Y^1 + \frac {\partial^2 f(Y^1(t),t)}{\partial t^2} $$ From Equation (1.1) and (1.2),

$$\displaystyle \frac{d^2f}{dt^2}=f_{,S}(Y^1,t)\ddot Y^1 + f_{,SS}(Y^1,t)(\dot Y^1)^2 + 2f_{,St}(Y^1,t)\dot Y^1 + f_{,tt}(Y^1,t) $$

=Problem 1.2 - Derive 1st and 2nd total time derivative, compare with the derivation of the Coriolis force=

Given
$$\displaystyle \frac {d}{dt}f(Y^1(t),t)=\frac {\partial f(Y^1(t),t)}{\partial S}\dot Y^1 + \frac {\partial f(Y^1(t),t)}{\partial t} $$ with $$\displaystyle \dot Y^1 := \frac {dY^1(t)}{dt}$$

$$\displaystyle \frac{d^2f}{dt^2}=f_{,S}(Y^1,t)\ddot Y^1 + f_{,SS}(Y^1,t)(\dot Y^1)^2 + 2f_{,St}(Y^1,t)\dot Y^1 + f_{,tt}(Y^1,t) $$ with $$ \displaystyle f_{,S}(Y^1,t) :=\frac{\partial f(Y^1,t)}{\partial S}$$ $$ \displaystyle f_{,St}(Y^1,t):=\frac{\partial ^2 f(Y^1,t)}{\partial S \partial t} $$

Find
Derive $$\displaystyle \frac {d}{dt}f(Y^1(t),t)=\frac {\partial f(Y^1(t),t)}{\partial S}\dot Y^1 + \frac {\partial f(Y^1(t),t)}{\partial t} $$ $$\displaystyle \frac{d^2f}{dt^2}=f_{,S}(Y^1,t)\ddot Y^1 + f_{,SS}(Y^1,t)(\dot Y^1)^2 + 2f_{,St}(Y^1,t)\dot Y^1 + f_{,tt}(Y^1,t) $$ And show the similarity with the derivation of the Coriolis force.

Solution
Solved on my own

First total time derivitive
$$\displaystyle Y^1(t)$$ is function of S. $$\displaystyle \frac {d}{dt}f(Y^1(t),t) $$

This equation is following that

$$\displaystyle \frac {d}{dt}f(Y^1(t),t)=\frac {d}{dt}f(S,t)$$ According to the Chain rule, $$ \displaystyle \frac {d}{dt}f(Y^1(t),t)=\frac {\partial f(S,t)}{\partial S}\frac {\partial S}{\partial t}+\frac {\partial f(S,t)}{\partial t}

= \frac {\partial f(S,t)}{\partial S} \frac {\partial S}{\partial t}+\frac {\partial f(S,t)}{\partial t} = \frac {\partial f(Y^1(t),t)}{\partial S} \dot Y^1 +\frac {\partial f(Y^1(t),t)}{\partial t} $$ $$\frac {df(Y^1(t),t)} {dt} = \frac {\partial f(Y^1(t),t)}{\partial S}\dot Y^1 + \frac {\partial f(Y^1(t),t)}{\partial t} $$

Second total derivative
$$ \displaystyle \frac {d}{dt}(\frac {\partial f(Y^1(t),t)}{\partial S} \dot Y^1 +\frac {\partial f(Y^1(t),t)}{\partial t})= \frac {d}{dt}(\frac {\partial f(S,t)}{\partial S}\frac {\partial S}{\partial t}+\frac {\partial f(S,t)}{\partial t}) $$ $$ =\displaystyle \frac {\partial^2 f(S,t)}{\partial S \partial S}\frac {\partial S}{\partial t} \frac {\partial S}{\partial t} + \frac {\partial^2 f(S,t)}{\partial S \partial t} \frac {\partial S}{\partial t} + \frac {\partial f(S,t)}{\partial S} \frac {\partial^2 S}{\partial t^2} + \frac {\partial^2 f(S,t)}{\partial S \partial t} \frac{\partial S}{\partial t} + \frac {\partial^2 f(S,t)}{\partial t^2}

$$ $$ =\displaystyle \frac {\partial^2 f(S,t)}{\partial S \partial S}\dot Y^1\dot Y^1 + \frac {\partial^2 f(S,t)}{\partial S \partial t} \dot Y^1 + \frac {\partial f(S,t)}{\partial S} \ddot Y^1 + \frac {\partial^2 f(S,t)}{\partial S \partial t} \dot Y^1 + \frac {\partial^2 f(S,t)}{\partial t^2} $$ $$ =\displaystyle \frac {\partial^2 f(Y^1(t),t)}{\partial S \partial S}(\dot Y^1)^2 + \frac {\partial^2 f(Y^1(t),t)}{\partial S \partial t} \dot Y^1 + \frac {\partial f(Y^1(t),t)}{\partial S} \ddot Y^1 + \frac {\partial^2 f(Y^1(t),t)}{\partial S \partial t} \dot Y^1 + \frac {\partial^2 f(Y^1(t),t)}{\partial t^2} $$ $$ =\displaystyle \frac {\partial f(Y^1(t),t)}{\partial S} \ddot Y^1 + \frac {\partial^2 f(Y^1(t),t)}{\partial S \partial S}(\dot Y^1)^2 + 2\frac {\partial^2 f(Y^1(t),t)}{\partial S \partial t} \dot Y^1 + \frac {\partial^2 f(Y^1(t),t)}{\partial t^2} $$ $$\displaystyle \frac{d^2f}{dt^2}=\displaystyle \frac {\partial f(Y^1(t),t)}{\partial S} \ddot Y^1 + \frac {\partial^2 f(Y^1(t),t)}{\partial S \partial S}(\dot Y^1)^2 + 2\frac {\partial^2 f(Y^1(t),t)}{\partial S \partial t} \dot Y^1 + \frac {\partial^2 f(Y^1(t),t)}{\partial t^2} =f_{,S}(Y^1,t)\ddot Y^1 + f_{,SS}(Y^1,t)(\dot Y^1)^2 + 2f_{,St}(Y^1,t)\dot Y^1 + f_{,tt}(Y^1,t)$$(2.1)

Coriolis force
Derivation for the Coriolis velocity and acceleration

$$\frac{d\mathbf{A}}{dt} =  \frac{d'\mathbf{A}}{dt} +\mathbf{A_x'}(\mathbf{\Omega} \times \mathbf{\hat x'}) + \mathbf{A_y'}(\mathbf{\Omega} \times \mathbf{\hat y'}) + \mathbf{A_z'}(\mathbf{\Omega} \times \mathbf{\hat z'})$$
 * $$ = \frac{d'\mathbf{A}}{dt} +\mathbf{\Omega} \times (\mathbf{A_x'}\mathbf{\hat x'} + \mathbf{A_y'}\mathbf{\hat y'} + \mathbf{A_z'}\mathbf{\hat z'})$$
 * $$ = \frac{d'\mathbf{A}}{dt} +\mathbf{\Omega} \times \mathbf{A} $$

$$ \frac{d^2\mathbf{A}}{dt^2} = \frac{d}{dt}(\frac{d'\mathbf{A}}{dt} +\mathbf{\Omega} \times \mathbf{A}) $$
 * $$ = \frac{d}{dt}(\frac{d'\mathbf{A}}{dt}) + \mathbf{\Omega} \times \frac{d\mathbf{A}}{dt} + \frac{d\mathbf{\Omega}}{dt} \times \mathbf{A} $$
 * $$ = \frac{d'^2\mathbf{A}}{dt^2} + \mathbf{\Omega} \times \frac{d'\mathbf{A}}{dt} + \mathbf{\Omega} \times (\frac{d'\mathbf{A}}{dt} +\mathbf{\Omega} \times \mathbf{A}) + \frac{d\mathbf{\Omega}}{dt} \times \mathbf{A} $$
 * $$ = \frac{d'^2\mathbf{A}}{dt^2} + 2\mathbf{\Omega} \times \frac{d'\mathbf{A}}{dt} + \mathbf{\Omega} \times (\mathbf{\Omega} \times \mathbf{A}) + \frac{d\mathbf{\Omega}}{dt} \times \mathbf{A} $$(2.2)

Similarities
Eq 2.1 is $$\displaystyle \frac{d^2f}{dt^2}=f_{,S}(Y^1,t)\ddot Y^1 + f_{,SS}(Y^1,t)(\dot Y^1)^2 + 2f_{,St}(Y^1,t)\dot Y^1 + f_{,tt}(Y^1,t)$$ Eq 2.2 is $$ \frac{d^2\mathbf{A}}{dt^2} = \frac{d'^2\mathbf{A}}{dt^2} + 2\mathbf{\Omega} \times \frac{d'\mathbf{A}}{dt} + \mathbf{\Omega} \times (\mathbf{\Omega} \times \mathbf{A}) + \frac{d\mathbf{\Omega}}{dt} \times \mathbf{A} $$

=Problem 1.3 - Analyze Dimensions=

Given
$$\displaystyle c_3(Y^1,t)\ddot Y^1 + c_2(Y^1,t)(\dot Y^1)^2 + c_1(Y^1,t)\dot Y^1 + c_0(Y^1,t) = 0 $$ (1) Ref: VQ&O 1989 CMAME Eqs.(2.5a) $$\displaystyle c_0(Y^1,t) = -F^1[1-\bar R u^2_{,SS}(Y^1,t)]-F^2u^2_{,S}(Y^1,t)-\frac{T}{R}+M\left[(1-\bar R u^2_{,SS}(Y^1,t))(u^1_{,tt}(Y^1,t)-\bar R u^2_{,Stt}(Y^1,t))+u^2_{,S}(Y^1,t)u^2_{,tt}(Y^1,t)\right]$$ (2) Ref: VQ&O 1989 CMAME Eqs.(2.5b) Where:
 * $$\displaystyle u^2_{,SS}(Y^1,t) := \frac {\partial u^2(Y^1,t)}{(\partial S)^2}$$

 * $$\displaystyle u^1_{,tt}(Y^1,t) := \frac {\partial u^1(Y^1,t)}{(\partial t)^2}$$

Find
Analyze the dimension of all terms in $$c_0(Y^1,t)$$, and provide the physical meaning.

Solution
I solved this problem on my own.

The dimensions of all the components of $$c_0(Y^1,t)$$: $$[F^1] = F$$ $$[1] = 1$$ $$[\bar R] = L$$ $$[u^1(Y^1,t)] = L$$ $$[u^2(Y^1,t)] = L$$ $$[S] = L$$ $$[t] = S$$ $$[T] = FL$$ $$[R] = L$$ $$[M] = M$$ Where, F = Force L = Length S = Time M = Mass $$u^1(Y^1,t)$$ and $$u^2(Y^1,t)$$ have dimension L because both are measures of the displacement of the guideway. Replacing each term in equation (2) by its dimension yields: $$\displaystyle [c_0(Y^1,t)] = -F[1-L \frac {L}{L^2}]-F \frac {L}{L}-\frac{FL}{L}+M\left[(1-L \frac {L}{L^2})(\frac {L}{S^2}-L \frac {L}{LS^2})+\frac {L}{L} \frac {L}{S^2}\right]$$ $$\displaystyle [c_0(Y^1,t)] = -F-F-F+M \frac {L}{S^2}$$ $$[F]= [M] \cdot [a] = \frac {ML}{S^2}$$ $$\displaystyle [c_0(Y^1,t)] = F$$ The dimension of $$c_0(Y^1,t)$$ shows that it is a force. Specifically the horizontal force acting on the wheel/magnet.

=Problem 1.4 - Curvilinear Coordinate Lines=

Find
Draw the polar coordinate lines, in a 2-D plane emanating from a point, not at the origin.

Solution
''Note that this problem was solved as per Professor Vu-Quoc's example during lecture 6, where he implicitly defined coordinate lines as corresponding to only positive values of the coordinate in question. However, if the coordinates curves were defined by allowing a coordinate to vary to all possible values, as done by Wolfram|Alpha, then the radial coordinate curve would be the entire line containing the origin and P, while the axial coordinate curve would be the circle centered at the origin that passes through P.''

Coordinate lines, also called coordinate curves, are produced by varying one coordinate while holding all others constant. In planar polar coordinates, the coordinate curve associated with the radial coordinate is a ray starting at the point P extending away from the origin along a line containing the origin and P. The coordinate curve associated with the axial coordinate is an arc of a circle centered at the origin, extending in a counter-clockwise direction from P.

In the diagram below, the primed coordinates are cartesian coordinates, x1 is the polar coordinate line emanating from the point P, and x2 is the axial coordinate curve emanating from the point P. The red curves show the line containing the origin and the point P associated with the polar coordinate curve and the origin-centered circle associated with the axial coordinate curve.

=Problem 1.5 - Simplification=

Given
The project equation is as follows : $$\displaystyle \frac{1}{g_{i}(\xi_{i})}\frac{d}{d\xi_{i}}\left[g_{i}(\xi_{i})\frac{dX_{i}(\xi_{i})}{d\xi_{i}}\right]+f_{i}(\xi_{i})X_{i}(\xi_{i})=0$$

Find
Show that the Given equation has the following form: $$\displaystyle y''+\frac{g'(x)}{g(x)}y'+a_{0}(x)y=0$$

Solution
In order to simplify the given equation, we shall first change symbols: $$ \displaystyle \xi_{i}=x,\qquad X_{i}(\xi_{i})=y(x);$$ $$ \displaystyle g_{i}(\xi_{i})=g(x),\qquad f_{i}(\xi_{i})=a_{0}(x).$$ Substitute the above expressions into the given equation: $$ \displaystyle \frac{1}{g(x)}\frac{d}{dx}\left[g(x)\frac{dy(x)}{dx}\right]+a_{0}y(x)=0$$ (5.1) $$ \displaystyle \frac{1}{g(x)}\left[\frac{dg(x)}{dx}\frac{dy(x)}{dx}+g(x)\frac{d^{2}y(x)}{dx^{2}}\right]+a_{0}y(x)=0$$ (5.2) $$ \displaystyle y''+\frac{g'(x)}{g(x)}y'+a_{0}(x)y=0$$ where $$ \frac{dg(x)}{dx}=g'(x), \frac{dy(x)}{dx}=y', \frac{d^{2}y(x)}{dx^{2}}=y''.$$

=Problem 1.6 - Nonlinear 2nd-Order Term in Nonlinear 2nd-Order ODE (N2-ODE)=

Given
In the equation of motion (EOM) of wheel/magnet, (1) p.3-3,

$$\displaystyle c_3(Y^1,t)= M[1-\bar {R}u^2_{,SS}(Y^1,t)] $$

Find
Show $$\displaystyle c_3(Y^1,t)\ddot Y^1$$ is nonlinear with respect to $$\displaystyle Y^1$$

Solution
 EGM 6341 Fall 2011 (PEA1 F11) Team 2 HW1.6 (solved on my own)

Linearty has to satisfy the following condition:

Nonlinearty is the condition not satisfing the above statement.

In the given equation, the linearity of $$\displaystyle u^2_{,SS}(Y^1,t)$$ is assumed.

The results show:

Thus,

This proves that $$\displaystyle c_3(Y^1,t)\ddot Y^1$$ is nonlinear wiht respect to $$\displaystyle Y^1.$$

=Problem 1.7- Linear ODE=

Given
An ODE of 2nd order with variable coefficients is read as $$\displaystyle L_2(y)= \frac{d^2(y)}{dx^2}+a_1(x)\frac{d(y)}{dx}+a_0(x)(y) $$ where $$\displaystyle a_0(x), a_1(x)$$ are variable coefficients

Find
show that $$\displaystyle L_2(\cdot)=\frac{d^2(\cdot)}{dx^2}+a_1(x)\frac{d(\cdot)}{dx}+a_0(x)(\cdot) $$   is a linear operator.

Definition of Linear
If $$\displaystyle L_{2} $$ is a linear operator, the it must satisfy $$\displaystyle L_{2}(\alpha u+\beta v)=\alpha L_{2}(u)+\beta L_{2}(v)$$ Where $$\displaystyle u,v $$ are the independent variables, and $$\displaystyle \alpha, \beta \in \mathbb{R}.$$

$$\displaystyle L_{2}(\alpha u+\beta v)=\frac{d^{2}(\alpha u+\beta v)}{dx^{2}}+a_{1}(x)\frac{d(\alpha u+\beta v)}{dx}+a_{0}(x)(\alpha u+\beta v)$$

$$\displaystyle L_{2}(\alpha u+\beta v)=[\frac{d^{2}(\alpha u)}{dx^{2}}+a_{1}(x)\frac{d(\alpha u)}{dx}+a_{0}(x)(\alpha u)]+[\frac{d^{2}(\beta v)}{dx^{2}}+a_{1}(x)\frac{d(\beta v)}{dx}+a_{0}(x)(\beta v)]$$

$$\displaystyle L_{2}(\alpha u+\beta v)=\alpha[\frac{d^{2}(u)}{dx^{2}}+a_{1}(x)\frac{d(u)}{dx}+a_{0}(x)(u)]+\beta[\frac{d^{2}(v)}{dx^{2}}+a_{1}(x)\frac{d(v)}{dx}+a_{0}(x)(v)]$$

$$\displaystyle L_{2}(\alpha u+\beta v)=\alpha L_{2}(u)+\beta L_{2}(v) $$

$$\displaystyle \therefore L_{2}(\cdot)$$ is a linear operator.

=Problem 1.8 - Integration Constants, Boundary Conditions, and Initial Conditions=

Given
The solution for a Linear 2nd Order Ordinary Differential Equation takes the form $$\displaystyle y(x)=c_{1}y^1_{H}(x)+c_{2}y^2_{H}(x)+y_{P}(x)$$ (1)

Find
Find the integration constants $$c_{1}$$ and $$c_{2}$$ in terms of the boundary conditions
 * $$\displaystyle y(a)=\alpha, \ y(b)=\beta$$

and the initial conditions
 * $$\displaystyle y(a)=\alpha, \ y'(a)=\beta$$

Solution
The integration constants in terms of the boundary conditions are: $$\displaystyle y(a)=\alpha=c_{1}y^1_{H}(a)+c_{2}y^2_{H}(a)+y_{P}(a)$$ (2) $$\displaystyle y(b)=\beta=c_{1}y^1_{H}(b)+c_{2}y^2_{H}(b)+y_{P}(b)$$ (3)

To solve for $$c_{1}$$ in terms of the boundary conditions $$c_{2}$$ must be removed. This can be done by multiplying equation (2) by $$y^2_{H}(b)$$ and equation (3) by $$y^2_{H}(a)$$ to obtain: $$\displaystyle y^2_{H}(b)\alpha=c_{1}y^1_{H}(a)y^2_{H}(b)+c_{2}y^2_{H}(a)y^2_{H}(b)+y_{P}(a)y^2_{H}(b)$$ (4) $$\displaystyle y^2_{H}(a)\beta=c_{1}y^1_{H}(b)y^2_{H}(a)+c_{2}y^2_{H}(b)y^2_{H}(a)+y_{P}(b)y^2_{H}(a)$$ (5)

Subtract equation (5) from equation (4) and solve for $$c_{1}$$.
 * $$\displaystyle c_{1}=\frac {y^2_{H}(b)\alpha-y^2_{H}(a)\beta-y_{P}(a)y^2_{H}(b)+y_{P}(b)y^2_{H}(a)}{y^1_{H}(a)y^2_{H}(b)-y^1_{H}(b)y^2_{H}(a)}$$ (6)

Similarly, find $$c_{2}$$ by multiplying equation (2) by $$y^1_{H}(b)$$ and equation (3) by $$y^1_{H}(a)$$ to obtain: $$\displaystyle y^1_{H}(b)\alpha=c_{1}y^1_{H}(a)y^1_{H}(b)+c_{2}y^2_{H}(a)y^1_{H}(b)+y_{P}(a)y^1_{H}(b)$$ (7) $$\displaystyle y^1_{H}(a)\beta=c_{1}y^1_{H}(b)y^1_{H}(a)+c_{2}y^2_{H}(b)y^1_{H}(a)+y_{P}(b)y^1_{H}(a)$$ (8)

Subtract equation (8) from equation (7) and solve for $$c_{2}$$.
 * $$\displaystyle c_{2}=\frac {y^1_{H}(b)\alpha-y^1_{H}(a)\beta-y_{P}(a)y^1_{H}(b)+y_{P}(b)y^1_{H}(a)}{y^2_{H}(a)y^1_{H}(b)-y^2_{H}(b)y^1_{H}(a)}$$ (9)

The integration constants in terms of the initial conditions are: $$\displaystyle y(a)=\alpha=c_{1}y^1_{H}(a)+c_{2}y^2_{H}(a)+y_{P}(a)$$ (10) $$\displaystyle y'(a)=\beta=c_{1}y'_{1H}(a)+c_{2}y'_{2H}(a)+y'_{P}(a)$$ (11) Where $$\displaystyle y'_{1H}=\frac{d(y1_{H}(x))}{dx}$$ $$\displaystyle y'_{2H}=\frac{d(y2_{H}(x)}{dx}$$ Find $$c_{1}$$ similar to the way $$c_{1}$$ was found using the boundary conditions. Multiply equation (10) by $$y'_{2H}(a)$$ and equation (11) by $$y^2_{H}(a)$$ to obtain: $$\displaystyle y'_{2H}(a)\alpha=c_{1}y^1_{H}(a)y'_{2H}(a)+c_{2}y^2_{H}(a)y'_{2H}(a)+y_{P}(a)y'_{2H}(a)$$  (12) $$\displaystyle y^2_{H}(a)\beta=c_{1}y'_{1H}(a)y^2_{H}(a)+c_{2}y'_{2H}(a)y^2_{H}(a)+y'_{P}(a)y^2_{H}(a)$$  (13) Subtract equation (13) from equation (12) and solve for $$c_{1}$$.
 * $$\displaystyle c_{1}=\frac {y'_{2H}(a)\alpha-y^2_{H}(a)\beta-y_{P}(a)y'_{2H}(a)+y'_{P}(a)y^2_{H}(a)}{y^1_{H}(a)y'_{2H}(a)-y'_{1H}(a)y^2_{H}(a)}$$ (14)

Find $$c_{2}$$ similar to the way $$c_{1}$$ was found. Multiply equation (10) by $$y'_{1H}(a)$$ and equation (11) by $$y^1_{H}(a)$$ to obtain: $$\displaystyle y'_{1H}(a)\alpha=c_{1}y^1_{H}(a)y'_{1H}(a)+c_{2}y^2_{H}(a)y'_{1H}(a)+y_{P}(a)y'_{1H}(a)$$ (15) $$\displaystyle y^1_{H}(a)\beta=c_{1}y'_{1H}(a)y^1_{H}(a)+c_{2}y'_{2H}(a)y^1_{H}(a)+y'_{P}(a)y^1_{H}(a)$$ (16) Subtract equation (16) from equation (15) and solve for $$c_{2}$$.
 * $$\displaystyle c_{2}=\frac {y'_{1H}(a)\alpha-y^1_{H}(a)\beta-y_{P}(a)y'_{1H}(a)+y'_{P}(a)y^1_{H}(a)}{y^2_{H}(a)y'_{1H}(a)-y'_{2H}(a)y^1_{H}(a)}$$ (17)

=References=

=Contributing Members=

title: User:Egm6321.f11.team2/HW1


text:
Engineering Projects/BallBot

Idea
The goal is to modify a three wheel robot toy to balance on top of a ball or turn into three unicycle robots that can move sideways.

The secret is a wheel that has spinning parts on the outside room. There are two main types:
 * Omni Wheel
 * Mecanum Wheel

The motion the robot can make is described as "holonomic". The wheels can be purchased for carpet or slick floors at Acroname Robotics

Subsystems

 * Gyros and Accelerometers
 * Arduino
 * Wheels
 * Frame Modification

College/Universities

 * /Howard Community College/

title: Engineering Projects/BallBot


text:
User:Egm6321.f11.team3.anderson

Robert Anderson's page

title: User:Egm6321.f11.team3.anderson


title: File:Pea1.f11.mtg9.djvu


title: File:Pea1.f11.mtg10.djvu


text:
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title: MediaWiki:Common.js/Slideshows.js


text:
User:OpenScientist/ESOF 2012/Peer review for newcomers

About
''This page hosts the draft for a proposal for a career session at the Euroscience Open Forum 2012 that will take place in Dublin from 11-15 July, 2012. Deadline for submission: 15 September, 2011 at noon GMT. Call. You are welcome to join in.''

Background
There is no systematic training of young researchers on how to perform peer review. This workshop shall provide such a training session and embed it into a general introduction to peer review in the web age.


text:
Helicopter

A helicopter is a kind of flying machine or aircraft. A helicopter lifts up off of the ground and moves because of its rotors. A rotor is several small wings, called rotor blades, that spin together around a shaft. For that reason, helicopters are sometimes called rotary-wing aircraft. A helicopter flies differently from an airplane. An airplane must move forward to stay in the air, but because the helicopter's rotor blades are always moving, the helicopter can stop and stay in one place above the ground. This allows them to land in places where an airplane cannot. Helicopters can move by tilting their rotors, which causes the rotor blades to fly in the direction the rotor is tilted. A helicopter may be built from scratch or modified from a purchased copter (go to 1:39 left in this video). The Parrot DR.Drone is made with open source software and costs $299.

Once the helicopters are built, autopilots can be modified to:
 * copter games (first person shooter with virtual bullets on real platform)
 * copter dances
 * copter ball juggling (image tennis, imagine ping pong)
 * copter agility contests
 * copter flying through thrown hoops (go to 1 minute mark)
 * copter jitter free video (can turn off 3D)
 * copter lift competitions (go to 9 minute mark)

The big advantage of quadcopters is that they can fly indoors. Don't have to worry about restricted airspace. Perhaps enter one of the AUVSI competitions.

Subsystems

 * Test Room
 * Test Station
 * Air Frame
 * Electronic Speed Control Sync, Start Up
 * Video
 * GPS for auto pilot
 * Target recognition
 * GPS for target location
 * PID Controller for stable flight
 * Auto Pilot
 * Fail Safe
 * Manual Pilot
 * RC control
 * adhoc, large wifi hot spots for wifi control
 * Battery mangement, power system
 * Gryo Accelerometer stabilization

College/Universities
/Howard Community College/

title: Helicopter


text: Template:Slideshow

title: Template:Slideshow


text:
Template:Slideshow/doc

Slideshow allows you to have an interactive slideshow on a page. You can click a slideshow to advance the slideshow by one slide. You can click the left and right buttons to move to the previous and next slide. If a slideshow has the current focus, the left or up arrow key can be used to move to the previous slide, and the right or down arrow key can be used to move to the next slide.

Usage

slide 1 through slide 15 are what to show for each slide, and may be file transclusions or  page transclusions.

title: Template:Slideshow/doc


text:
User:Marshallsumter/Sun as an X-ray source

blanked for review, please keep page.