Summarize the following:
It is polite to wait until everyone has received their drink to take a drink. When everyone has received their drink, say “kanpai!” This mean “cheers!” Now, everyone can enjoy their drinks. It's more authentic, and the Japanese might respect you more for trying to observe their customs while dining. If you do not like either drinks, it’s perfectly acceptable to drink water or something else with your meal. Often, you will be given a wet towel before the meal. This towel is meant to be used to clean your hands before and throughout the meal. You can place it on the table away from the food when you are not using it. It is customary to say “itadakimasu” before eating. Literally, this means "I receive (this meal).” It is an expression of gratitude for the meal you have just received. When you have ordered and received your food, you may be asked “Daijoubu desu ka?” You were asked “Is everything ok?”  Answer “Hai” for “yes” and “Iie” for “no.” Typically, chopsticks are used in Japanese restaurants over utensils such as forks. If possible, use your chopsticks  with all of your food, except soup, which would be eaten with a spoon. It's okay to request a fork if you are uncomfortable using chopsticks. Don't stick your chopsticks upright in a bowl of rice. This is only done at funerals.

summary: Wait until everyone has received their drink. Drink Japanese green tea or sake with your meal. Clean your hands before and during the meal. Express gratitude before eating your meal. Tell them if what you ordered is okay. Use your chopsticks.


Summarize the following:
A mathematical proof is a series of logical statements supported by theorems and definitions that prove the truth of another mathematical statement. Proofs are the only way to know that a statement is mathematically valid.  Being able to write a mathematical proof indicates a fundamental understanding of the problem itself and all of the concepts used in the problem. Proofs also force you to look at mathematics in a new and exciting way. Just by trying to prove something you gain knowledge and understanding even if your proof ultimately doesn’t work. Before writing a proof, you need to think about the audience that you’re writing for and what information they already know. If you are writing a proof for publication, you will write it differently than writing a proof for your high school math class. Knowing your audience allows you to write the proof in a way that they will understand given the amount of background knowledge that they have. There are a few different types of proofs and the one you choose depends on your audience and the assignment. If you’re unsure which version to use, ask your teacher for guidance. In high school, you may be expected to write your proof in a specific format such as a formal two-column proof.  A two-column proof is a setup that puts givens and statements in one column and the supporting evidence next to it in a second column. They are very commonly used in geometry. An informal paragraph proof uses grammatically correct statements and fewer symbols. At higher levels, you should always use an informal proof. The two-column proof is an easy way to organize your thoughts and think through the problem. Draw a line down the middle of the page and write all givens and statements on the left side. Write the corresponding definitions/theorems on the right side, next to the givens they support.  For example:  Angle A and angle B form a linear pair. Given. Angle ABC is straight. Definition of a straight angle. Angle ABC measures 180°. Definition of a line. Angle A + Angle B = Angle ABC. Angle addition postulate. Angle A + Angle B = 180°. Substitution. Angle A supplementary to Angle B. Definition of supplementary angles. Q.E.D. Using the two-column proof as a foundation, write the informal paragraph form of your proof without too many symbols and abbreviations. For example: Let angle A and angle B be linear pairs. By hypothesis, angle A and angle B are supplementary. Angle A and angle B form a straight line because they are linear pairs. A straight line is defined as having an angle measure of 180°. Given the angle addition postulate, angles A and B sum together to form line ABC. Through substitution, angles A and B sum together to 180°, therefore they are supplementary angles. Q.E.D.

summary: Define mathematical proofs. Know your audience. Identify the type of proof you are writing. Write the two-column proof as an outline. Convert the two-column proof to an informal written proof.


Summarize the following:
Some dinner rolls may already come precut. If this is the case for your rolls, all you have to do is pull them apart in half. "Hawaiian" or sweet rolls would be great for this recipe! Open up the rolls, and place a slice of ham and Swiss on each bottom half. Cover the ham and cheese with the top half of the roll.  You may have to cut the cheese and then layer it inside the rolls to ensure that it fits.  Don't have Swiss or can't stand the taste? Cheddar, Colby jack, or Monterey jack instead! It is okay if the rolls are touching, but they shouldn't be crammed together either. If you don't have enough room on your baking sheet, set the remaining rolls aside and plan to bake them in a separate batch. If you have not already, melt the butter in the microwave or in a little saucepan on the stove. Pour it into a medium-sized mixing bowl, then add the onion flakes, mustard, Worcestershire sauce, and poppy seeds. Stir them together with a fork or whisk until everything is evenly combined. For a more complex flavor, use Dijon mustard instead of yellow mustard. During this time, the mixture will soak into the bread and give it more flavor. You are ready to bake the rolls when the butter starts to set. After 15 minutes, take a peek at the rolls. If the cheese is melted, you are ready for the next step. If the cheese is not melted, bake the rolls for another minute or two. They are ready when the tops turn golden and crispy. They are perfect for parties when you have to serve lots of people.
summary: Preheat your oven to 350°F (175°C) and line a large baking sheet with aluminum foil. Cut the dinner rolls in half with a bread knife. Place a slice of ham and Swiss cheese inside each roll. Arrange the rolls on a baking sheet, and set them aside. Combine the rest of the ingredients in a medium-sized mixing bowl. Pour the mixture over the sandwiches, then let them sit for 10 minutes. Cover the rolls loosely with aluminum foil and bake them for 15 minutes. Remove the foil, and bake the rolls for another 3 to 4 minutes. Serve the rolls straight out of the oven while they are still warm.