Problem: Article: Recognize that addition and subtraction are really the same process. Subtraction is nothing more than adding a negative number. Therefore, addition and subtraction are treated as versions of the same process. To add two or more complex numbers, first just add the real portions of the numbers together.  For example, to simplify the sum of (a+bi) and (c+di), first identify that a and c are the real number portions, and add them together. Symbolically, this will be (a+c). Using actual numbers instead of variables, consider the example of (3+3i) + (5-2i). The real portion of the first number is 3, and the real portion of the second complex number is 5. Add these together to get 3+5=8. The real portion of the simplified complex number will be 8. In a separate operation, identify the imaginary portions of each complex number and add them together.  For the algebraic example of (a+bi) plus (c+di), the imaginary portions are b and d. Adding these together algebraically gives the result (b+d)i. Using the numerical example of (3+3i) + (5-2i), the imaginary portions of the two complex numbers are 3i and -2i. Adding these gives the result of 1i, which can also be written just as i. To find the final simplified version of the sum, put the real part and the imaginary part back together. The result is the simplified sum of the complex numbers.  The sum of (a+bi) and (c+di) is written as (a+c) + (b+d)i. Applying the numerical example, the sum of (3+3i) + (5-2i) is 8+i.
Summary: Add the real portions together. Add the imaginary portions together. Combine the two parts to form the simplified answer.

Problem: Article: When the small window opens up beside it, scroll to the Elliptical Marquee Tool. We want the circle to be a little smaller than the document.  Click SHIFT+CTRL+N to create a new layer.  When the New Layer window opens, change "Name:" to Button Shape. Click the Foreground Color swatch on the toolbar.   Set "Use:" for Foreground Color.  Click "OK".  Type CTRL+A to select the entire document.  Type CTRL+X to cut out the circle, and then CTRL+V to paste it back.  The cutting and pasting centers the circle in your document.  In the Layers Palette, change the "Blending Mode" to Linear Burn. If it doesn't, go back and check each step of the instructions.
Summary: Click and hold down the left mouse button over the Marquee tool in the toolbox. While holding down the SHIFT button, click the upper left hand side of the document, and drag out an elliptical marquee until the mouse pointer is nearly at the bottom right hand corner of the document. Change the foreground color to a nice deep blue. When the Color Picker window opens, change "#" to 000066 (those are zeros). Click "OK". Back at the GlassButton document, type SHIFT+F5 to open the Fill window. Your document should now look like this:

Problem: Article: Experts in a particular field of study or customers that have implemented a tool or service that is the subject of the study will provide the best information.  Find knowledgeable people to interview. They don't necessarily have to be on your site, but they must be, actively or in the past, directly involved. Determine whether you will interview an individual or group of individuals to serve as examples in your case study. It may be beneficial for participants to gather as a group and provide insight collectively. If the study focuses on personal subject matter or medical issues, it may be better to conduct personal interviews. Gather as much information as possible about your subjects to ensure that you develop interviews and activities that will result in obtaining the most advantageous information to your study. This could be via in-person group interviews and activities, personal interviews, or phone interviews. Sometimes, email is an option. When you are interviewing people, ask them questions that will help you understand their opinions. I.e., How do you feel about the situation? What can you tell me about how the site (or the situation) developed? What do you think should be different, if anything? You also need to ask questions that will give you facts that might not be available from an article--make your work different and purposeful. ). Make sure all your informants are aware of what you're doing. They need to be fully informed (and signing waivers in certain cases) and your questions need to be appropriate and not controversial.
Summary: Select participants that you will interview for inclusion in your case study. Draft a list of interview questions and decide upon how you will conduct your study. Set up interviews with subject matter experts (account managers in a corporation, clients and customers using applicable tools and services, etc.

Problem: Article: St. Lucia Day processions are traditionally done by children and teenagers. There isn’t a required number of participants, but you need at least one older girl to portray St. Lucia. Other girls will be her Maidens, and boys participate as Star Boys. Very young children often participate as elves, gingerbread people, or other mythological creatures.  If you don't live in Sweden, contact your local Swedish cultural association to ask for volunteers. Ask your family and friends! You can also try posting a request for volunteers on your local neighborhood message boards. The procession should take place on the evening of December 13th, when it's dark enough for the candles to give off lots of light. You can hold the procession indoors or outdoors--some suitable places include parks, churches, Swedish cultural associations, or even your own neighborhood streets. St. Lucia and her Maidens wear long-sleeved white dresses with a red sash and red stockings. You can buy all of these at most big clothing stores, but you can also sew them yourself. St. Lucia also wears an evergreen wreath (often called a crown) with seven candles on her head. Premade St. Lucia wreaths are available, but you can also make one yourself. Star Boys wear white robes with a white cone-shaped hat with stars on it--very similar to a wizard’s hat. You can easily make the hats out of white posterboard and star cutouts. You will need one candle for each participant, as well as seven candles for St. Lucia’s wreath. Electric candles are recommended for safety. Make sure you have printouts of the traditional St. Lucia Day song. This is especially important if you plan to sing it in Swedish but have participants who don’t speak the language. Make sure all the lights in the room or outside are off. Everybody should have their candle on before the procession begins! In the actual procession, St. Lucia walks ahead, with the Maidens immediately behind her. The Star Boys and other participants walk behind the Maidens. Traditionally, the procession would go along the entire main street of the town, but nowadays it is much shorter. The procession can be as short as a walk up the main aisle of the church. After the walk is completed, St. Lucia stands in the center, with the Maidens in a semicircle behind her and the other participants along the sides and back of the semicircle. St. Lucia leads the whole group in singing the St. Lucia Day song, either in Swedish or in translation. You can listen to the Lucia song in Swedish here.
Summary:
Find your participants. Schedule the procession. Buy or make the dresses for Lucia and the Maidens. Buy or make the wreath. Find costumes for the boys. Buy white candles. Print out song lyrics and music. Turn off the lights and light the candles. Walk in the procession. Sing the Lucia song.