Summarize the following:
If you are buying a face cord, divide the depth of a full cord by the piece length of the wood in your face cord. Multiply this quotient by the price of your face cord to determine the cost of the full cord.  Remember that the depth of a full cord is 4 feet (1.2 m) or 48 inches (1.2 m or 122 cm). For instance, if Bob is selling a face cord with an average piece length of 16 inches (40.6 cm) for $90, the calculation would look something like this:  48 inches (122 cm) / 16 inches (40.6 cm) = 3 3 * $90 = $270 The full cord value would be $270. If you know the average market rate of a full cord in your area, you can compare the full cord value of the face cord you measured to that. If you do not know the average cost, however, you might need to shop around some and figure out your own average.  It might save time to call each dealer and ask for their face cord price and piece length measurement, rather than going to each one and taking your own measurements. You should still measure the average piece length of the face cord you plan to buy once you've made your decision, though, just to make sure that the dealer's measurements match your own. If the piece length offered by each dealer is the same, you can compare face cord costs. If the piece lengths vary, however, you need to calculate the full cord value of each and compare those values to one another.  In the previous example, Bob sold firewood at a full cord value of $270. If Sally sold 12-inch (30.5-cm) long pieces of firewood at $70, the full cord value would be:  48 inches (122 cm) / 12 inches (30.5 cm) = 4 4 * $70 = $280.   If Sam sells 8-inch (20-cm) long pieces of wood at $60, the full cord value would be:  48 inches (122 cm) / 8 inches (20 cm) = 6 6 * 60 = $360   Even though Bob has the highest face cord price, he has the lowest full cord value at $270. Sally's full cord value is close at $280, but Sam's full cord value is by far the most expensive at $360, even though Sam's face cord cost was cheapest ($60). As such, the best value for your money would be Bob's face cord. Even though full cord value is the best way to get the best deal, there are other factors to consider that usually increase the value and cost of wood.  Shorter lengths usually cost more because of the cost of cutting and handling. Firewood cut into consistent lengths may cost more because more work went into maintaining that even length. Finely split pieces usually cost more because of the extra labor, as well. Dry wood can cost more because it has been stored under better conditions. Cleaner firewood is also more valuable because it is more pleasant to the consumer when it comes time to burn it.

summary: Calculate the full cord value. Shop around. Compare the value offered by each seller. Be aware of outside factors that can affect cost.


Summarize the following:
French kissing, or kissing with tongue, is a common way of sharing intimacy with a partner. Slip your tongue across his lips and touch his tongue gently, but don’t shove your tongue into his mouth. If you start making out while you're standing up or you're sitting in an uncomfortable spot, it's okay to take a break to move somewhere more comfortable. Try sitting on a couch or a bed where you'll have room to get cozy together. As you’re kissing, you can show him that you want to move from simple kisses to making out by pressing your body against his. The heightened physical contact will lead to a feeling of deeper intimacy. Don’t just leave your hands laying by your sides or in your lap! Run your hands across his chest or along his upper arms, or rest your hand on the side of his neck. If you take a break from kissing, keep your hands busy by playing with his shirt or his hair. The neck is a very sensitive area, so don’t be afraid to kiss along his throat or behind his ears. Take the time to whisper something sexy while you’re kissing close to his ears! Try saying something like, “I’m really enjoying this” or “You’re so sexy.” Stop for a breather every so often, especially if you don't want things to get too hot and heavy. Play with his hair, touch his face, or play with his fingers while you catch your breath. If you don't want things to progress past making out, you should know your limits and stop making out before it goes too far. When you're ready to end the make out session, slow your kisses and gradually stop.  Never let anyone pressure you to do anything that makes you feel uncomfortable. If you want to stop kissing, the other person should stop, even if you were the one who initiated the kiss. Just because he seems aroused doesn't mean he's ready to have sex. If you do want to go further, talk to him about what he wants, and make sure you don't pressure him if he wants to stop.

summary: Open your mouth wider and use your tongue to deepen your kisses. Move to a comfortable spot if you need to. Press your body against his. Touch him on the chest and arms while you’re making out. Kiss his neck and around his ears. Take a break every now and then. Be firm if you want to slow things down.


Summarize the following:
You can transpose any matrix, regardless of how many rows and columns it has. Square matrices, with an equal number of rows and columns, are most commonly transposed, so we'll use a simple square matrix as an example: matrix A =1  2  34  5  67  8  9 Rewrite row one of the matrix as a column:  transpose of matrix A = AT  first column of AT:123 The second row of the original matrix becomes the second column of its transpose. Repeat this pattern until you have turned every row into a column:  AT =1  4  72  5  83  6  9 The transposition is exactly the same for a non-square matrix. You rewrite the first row as the first column, the second row as the second column, and so forth. Here's an example with color-coding to show you where the elements end up:  matrix Z =4  7  2  13  9  8  6  matrix ZT =4  37  92  81  6 The concept is pretty simple, but it's good to be able to describe it in mathematics. No jargon is required beyond basic matrix notation:  If matrix B is an m x n matrix (m rows and n columns), the transposed matrix BT is an n x m matrix (n rows and m columns).  For each element bxy (xth row, yth column) in B, the matrix BT has an equal element at byx (yth row, xth column).
summary: Start with any matrix. Turn the first row of the matrix into the first column of its transpose. Repeat for the remaining rows. Practice on a non-square matrix. Express the transposition mathematically.