Problem: Article: The following terms are used in the instructions below:  Apollonian Gasket: One of several names for a type of fractal composed of a series of circles nested inside one large circle and tangent to all others nearby. These are also called "Soddy Circles" or "Kissing Circles". Radius of a circle: The distance from the center point of a circle to its edge. Usually assigned the variable r. Curvature of a circle: The positive or negative inverse of the radius, or ±1/r. Curvature is positive when dealing with the outer curvature of the circle and negative for the inner curvature. Tangent: A term applied to lines, planes, and shapes that intersect at one infinitely small point. In Apollonian Gaskets, this refers to the fact that each circle touches each nearby circle at only one point. Note that there is no intersection - tangent shapes do not overlap. Descartes's Theorem is a formula that is useful for calculating the sizes of the circles in an Apollonian Gasket. If we define the curvatures (1/r) of any three circles as a, b, and c, respectively, the Theorem states that the curvature of the circle (or circles) tangent to all three, which we will define as d, is: d = a + b + c ± 2 (sqrt (a × b + b × c + c × a )). For our purposes, we'll generally only use the answer we obtain by putting a plus sign in front of the square root ( in other words, ... + 2 (sqrt(...)). For now, it's enough to know that the subtraction form of the equation has its uses in other related tasks.
Summary: Define key terms. Understand Descartes's Theorem.

Problem: Article: Go to Feedburner and type in the URL of your blog and click "I am a podcaster!" In the next screen, configure the elements for your podcast. These are the elements that directly relate to the podcast. Your feedburner feed is your podcast.  Go to one of the hosts you can find online and sign-up there (this may take a while). Then go to your files, and upload your MP3 file. Make a post on your blog/website -- the title of the post should be the title of that episode of the podcast, and the content will end up as the "Show notes" or the "Description." Put in a little about what you talk about in your episode. At the end of the post, put a link directly to your media file. In a few minutes, Feedburner should add this to your feed, and now you have an episode! You can submit it to iTunes or a number of other podcast directories to get it known. You may want to wait, however, until you have some experience, so that your podcast will be compared as a fifth episode to another's first.  Submitting a podcast to iTunes is fairly simple. The podcast page in the iTunes store has a large button that asks for the RSS link and some additional information about the podcast. A podcast can also be submitted via the Web through the link in the iTunes FAQ.  Ping the appropriate podcast directories when a new show is updated. Put the appropriate subscription buttons on your website so people can subscribe to the RSS podcast feed.
Summary: Put your RSS podcast feed on the Internet. Give it a second.

Problem: Article: To get your creative juices flowing, it may help to list keywords that relate to darkness and dark themes. Write darkness in the center of a piece of paper and then list words around the center that relate to darkness. Do not try to edit to your list or think too much as you write. The idea is to generate terms and words that conjure up darkness for you, which you can then use later when you sit down to write your poem. For example, around “darkness”, you may write “black”, “grey”, “death” “alone”, “anger”, “powerful”, and “hidden”. You could then try to integrate these terms into your poem or use a specific feeling, such as “anger”, as the inspiration for your poem. One way to brainstorm ideas for your poem is to think about a specific moment when you experienced dark emotions, such as sadness, loneliness, or depression. Focusing on one specific moment and writing down words that relate to that moment can help you get ideas for the voice and tone of your poem. For example, maybe you recall a moment in the girl’s bathroom at school where you felt lonely or sad. You may then try to describe the scene and how it felt to be standing in the girl’s bathroom with these feelings. You may also decide to write about an event in your life that was particularly dark or difficult. Try to rely on your memories of the event and write about this event from your perspective. Doing this will make the poem feel intimate and honest. For example, maybe you relate a lot of dark emotions to the death of your grandfather. You may then try describing how it felt to attend his funeral and see him in his casket. You may also contrast memories of his death with memories of his life to give the poem levity. You may also focus on a specific person or place that represents darkness to you. Maybe a person pops into your head as soon as you think of darkness or a specific location that you have visited in the past. Describing a tangible thing, such as a person or place, can help you hone in on specific images for your poem. For example, maybe there is a next door neighbor who seems to represent darkness or dark emotions for you. Or, maybe there is a family relative that scared you as a kid. You may also remember a dark experience in a house you once lived in or associate dark feelings with a house in your neighborhood. Maybe there was a family vacation that you went on to a specific place in the States that you associate with dark or disturbing emotions.
Summary: Make a list of keywords that relate to darkness. Remember a moment when you felt sad, lonely, or depressed. Focus on a specific dark event. Describe a person or place that signifies darkness to you.

Problem: Article: Veins carry blood from your legs, arms, and other parts of your body back to your heart. As your body ages, the valves in your veins weaken, and blood can collect and cause your veins to enlarge and become more visible. This is especially true of veins in the legs and ankles, which have to work against gravity to carry blood up to the heart.  Spider veins affect at least half of adults age 50 and older.  Spider veins are similar to varicose veins, which appear on the legs as people grow older for the same reasons that spider veins do. About half of people who have spider veins have relatives who also have them. This means that while spider veins can be prevented to some degree, in some cases they may be unavoidable. Since the veins of a pregnant woman are under a greater amount of pressure than usual, spider veins may appear, especially on the legs and ankles.  Spider veins caused by pregnancy usually fade a few months after the baby is born. Subsequent pregnancies usually lead to the appearance of more spider veins. Sitting for long periods of time is detrimental to circulation, making it harder for veins in the legs to carry blood up to the heart. This extra strain causes spider veins to appear. Having extra weight puts strain on veins, since the veins must work harder to carry blood to the heart. The veins close to the surface of the face can weaken and become more visible, especially on people with fair skin.
Summary:
Spider veins are a normal consequence of growing older. Spider veins are hereditary. Pregnancy can lead to spider veins. Having a sedentary lifestyle can lead to spider veins. Obesity can cause spider veins. Sun exposure causes spider veins on the face.