INPUT ARTICLE: Article: Unlike sewn-in extensions, clip-in extensions must be removed before you go to bed. The tiny combs can dig into your scalp while you sleep, which can be painful. They also tend to be more fragile than sewn-in extensions. Start from the uppermost extensions first. After you have taken them out, you can move on to the middle and bottom extensions. nth. Place the extensions in a tub or sink, and dampen them with lukewarm water. If you can, use a handheld shower head. Apply a small amount of shampoo and gently massage the fibers. Rinse the lather out, and repeat with the conditioner.  If your extensions are synthetic, use a wig shampoo intended for synthetic fibers. If your extensions are real hair, use a mild shampoo and conditioner, or a shampoo intended for extensions. Pat them dry with a soft towel first, then clip them to a pants hanger. Place the hanger in your shower, or in a well-ventilated area. Wait until the extensions are dry before you brush or style them. It is very important that you wait for your extensions to dry. If you brush them while they are wet, the fibers will frizz. Make sure that the extensions are dry. Start combing them from the ends first, and work your way to the top. Never comb straight down from the top to the ends.  Avoid using the same comb that you use on your own hair, especially if these are synthetic fibers. The oils from your hair can degrade synthetic fibers. Be patient and take your time when combing your extensions. If you rush, you will damage them. When your extensions are dry, comb a little bit of leave-in conditioner evenly. Don't overdo it because they'll become greasy easier than your natural locks. The only exception to this is if the extensions are make from synthetic fibers. In this case, skip the leave-in conditioner. It is best to avoid heat styling, such as straightening or curling, all together, especially on synthetic extensions because they will melt. If you heat style natural hair extensions, be sure to use a heat protecting spray, and a lower temperature.   Avoid blow drying the extensions. This can cause them to tangle. Make sure that your extensions are dry before you heat-style them. Be sure to style them before you clip them to your hair. If your extensions are made from fragile or synthetic fibers, stick to no-heat styling methods instead. If you can, get 2 sets of the same extensions. Keep 1 pair "just for curling" and 1 "just for straightening." This will cut down on style time and damage. Some extensions will fall apart in a ponytail. Read the labeling when buying new extensions to see if you can use them in a ponytail. If it doesn't say whether or not you can, it is best to be on the safe side and do not put them in a ponytail. Some people recommend putting extensions in upside-down, with the teeth of the combs pointing upward, then pulling the extensions up into a ponytail. This will allow you to create a more natural looking ponytail. Fill a spray bottle with 2 parts fabric softener and 1 part water. Close the bottle, and shake it to mix. Spray the extensions with the solution, then comb through them. Use a wide toothed comb, and work in small sections, starting from the ends first. Let the extensions dry before using them.

SUMMARY: Take your extensions out before going to bed.  your extensions once a month. Hang the extensions up to dry, and don't brush them while they are wet. Comb extensions using a wide-toothed comb. Keep them moisturized, especially when you style extensions often. Take care when heat styling your extensions. Wear extensions in a ponytail only if they were made to be worn that way. De-frizz synthetic extensions with water and fabric softener.


INPUT ARTICLE: Article: Mathematicians have found several different mathematical series that, if carried out infinitely, will accurately calculate pi to a great number of decimal places. Some of these are so complex they require supercomputers to process them. One of the simplest, however, is the Gregory-Leibniz series. Though not very efficient, it will get closer and closer to pi with every iteration, accurately producing pi to five decimal places with 500,000 iterations. Here is the formula to apply.  π = (4/1) - (4/3) + (4/5) - (4/7) + (4/9) - (4/11) + (4/13) - (4/15) ... Take 4 and subtract 4 divided by 3. Then add 4 divided by 5. Then subtract 4 divided by 7. Continue alternating between adding and subtracting fractions with a numerator of 4 and a denominator of each subsequent odd number. The more times you do this, the closer you will get to pi. This is another infinite series to calculate pi that is fairly easy to understand. While somewhat more complicated, it converges on pi much quicker than the Leibniz formula.  π = 3 + 4/(2*3*4) - 4/(4*5*6) + 4/(6*7*8) - 4/(8*9*10) + 4/(10*11*12) - 4/(12*13*14) ... For this formula, take three and start alternating between adding and subtracting fractions with numerators of 4 and denominators that are the product of three consecutive integers which increase with every new iteration. Each subsequent fraction begins its set of integers with the highest one used in the previous fraction. Carry this out even a few times and the results get fairly close to pi.

SUMMARY:
Use the Gregory-Leibniz series. Try the Nilakantha series.