problems from the book

... problems in which the Cauchy- Schwarz inequality is the key idea of the solution. In this unit we will not focus on the theoretical results, since they are too well-known. Yet, seeing the Cauchy-Schwarz ... ≥ z (the symmetry allows us this supposition) and the inequality becomes 2x + y ≥ 2x, obviously true. It is time for some difficult problems, which are all based on the obs...

Ngày tải lên: 01/06/2014, 19:50

... more problems in which the Cauchy- Schwarz inequality is the key idea of the solution. In this unit we will not focus on the theoretical results, since they are too well-known. Yet, seeing the ... is now time for the champion inequalities. We will discuss two hard inequalities and after that we will leave for the reader the pleasure of solving many other problems based on...

Ngày tải lên: 05/06/2014, 19:02

... habitation. The cause of the disease onset relates to a house, symptoms occur within the house, symptoms are less serious or dis- appear when the patient is away from the house, and when the patient ... reviewed according to the history of sick buildings. Next, the factors concerning indoor air quality are indicated, and then measures to combat these problems are considere...

Ngày tải lên: 17/02/2014, 22:20

Ngày tải lên: 01/06/2014, 19:42

... words. Correct The fi rst playoff game was exciting; the second, dull. In the above sentence, the comma takes the place of the “playoff game was.” The sentence effectively reads: The fi rst playoff ... would still make sense. Correct They woke up at 6 a.m., when they heard the rooster crowing. Correct They woke up when they heard the rooster crowing. The fi rst of the...

Ngày tải lên: 09/11/2013, 19:15

... clear—he’s taken. Flirt by the fruit stand. How ripe is that banana? Mingle with other singles by the frozen-dinner aisle. Dive into the ar ms of a hottie in the crowd. Cruise the merchandise table ... suitcases. Set up with the holes facing each other. Climb up and close yourself in. Stay quiet during the ride. Cover the holes with stickers. Arrange a distraction; sneak...

Ngày tải lên: 15/01/2014, 12:15

... solutions to the discovered problems in order to minimize them, and to maximize the effectiveness of vocabulary learning at the university. The statistics from the students’ tests and the questionnaires, ... description of the subjects, the instruments, and procedures employed for the study: 4.1. The subjects There are two types of subjects participating in...

Ngày tải lên: 29/01/2014, 00:23

... APQ. 15. There are cards labeled from 1 to 2000. The cards are shuffled and placed in a pile. The top card is placed on the table, then the next card at the bottom of the pile. Then the next ... placed on the table to the right of the first card, and the next card is placed at the bottom of the pile. This process is continued until all the cards are on the ta...

Ngày tải lên: 22/02/2014, 16:09

... sharing the correction workload with them. For example, the teacher can let students do the peer correction, which sensitizes students to the problems in their own paper, and gives them the sense ... belongs to them as they are the owners of English in the Expanding Circle (Brown, [13]). More importantly, their awareness of social contexts is a crucial condition for dev...

Ngày tải lên: 22/03/2014, 10:20

... know they have it. Get tested: The odds a female 15–44 has been tested for HIV and other STDs in the past year are 1 in 10.5. The odds a male 15–44 has been tested for HIV and other STDs in the ... us randomly and collect their numbers humbly and confess how wrong they may be honestly and report what they see whether it is what they wished for or not and share what they find with all...

Ngày tải lên: 03/04/2014, 17:15