设a1,a2,...,Qm是欧几里得空间V的m个向量,称矩阵
为向量组a1,a2,...,am的格拉姆(Gram)矩阵.
证明:a1,a2,...,am线性无关当且仅当|G(a1,a2,...,am)|≠0.
设a1,a2,...,Qm是欧几里得空间V的m个向量,称矩阵
为向量组a1,a2,...,am的格拉姆(Gram)矩阵.
证明:a1,a2,...,am线性无关当且仅当|G(a1,a2,...,am)|≠0.
A: I have an appointment to see Dr. Gram for a physical examination. B: ______.
A.Could you come another time? Dr. Gram is not available right now.
B.I'm afraid you've got to make another appointment.
C.Dr. Gram is busy. She has just been. appointed Director of the clinic.
D.Please have a seat. She is in surgery right now.
W: Let me weight it for you, sir. Oh, it's 20 gram, and 20 cents per gram, that is 4 dollars in total. And you could also get express delivery. It is 50 cents per gram, but it will only take about 3 days.
M: It's too expensive. I will take the air mail and here is 5 dollars. But how long will this letter get there?
W: About a week.
Where dose the conversation happen?
A.In the bank
B.In the supermarket
C.In the post office
D.In the restaurant
M: Maybe I'll do that. There are some things I'd like to know about the weight reduction pro gram you're offering.
Q: What does the man imply?
(17)
A.He's already completed the program.
B.He doesn't know the nurse's phone number.
C.He doesn't have time to call.
D.He'd like to get additional information.
The Weight Experiment
Nicola Waiters has been taking part in experiments in Scotland to discover why humans gain and lose weight. Being locked in a small room called a "calorimeter"(热量测量室) is one way to find out.
1.The signs above the two rooms read simply "Chamber One" and "Chamber Two".These are the calorimeters: 4m by 2m white--walled rooms where human volunteers are locked up in the name of science. Outside these rooms another sign reads "Please do not enter - work in progress" and in front of the rooms advanced machinery registers every move the volunteers make. Each day, meals measured to the last gram are passed through a hole in the wall of the calorimeter to the resident volunteer.
2.Nicola Waiters is one of twenty volunteers who, over the past eight months, have spent varying periods inside the calorimeter. Tall and slim, Nicola does not have a weight problem, but thought the strict diet might help with her training and fitness programme. A self-employed community dance worker, she was able to fit the experiment in around her work. She saw an advert for volunteers at her local gym and as she is interested in the whole area of diet and exercise, she thought she would help out.
3.The experiment on Nicola involved her spending one day on a fixed diet at home and the next in the room. This sequence was repeated four times over six weeks. She arrived at the calorimeter at 8:30 am on each of the four mornings and from then on everything she ate or drank was carefully measureD.Her every move was noted too, her daily exercise routine timed to the last seconD.At regular intervals, after eating, she filled in forms about how hungry she felt and samples were taken for analysis.
4.The scientists help volunteers impose a kind of order on the long days they face in the room. "The first time, I only took one video and a book, but it was OK because I watched TV the rest of the time," says NicolA.And twice-a day she used the exercise bike.She pedaled (踩踏板)for half an hour, watched by researchers to make sure she didn't go too fast.
5.It seems that some foods encourage you to eat more, while others satisfy you quickly. Volunteers are already showing that high-fat diets are less likely to make you feel full. Believing that they may now know what encourages people to overeat, the researchers are about to start testing a high-protein weight-loss diet. Volunteers are required and Nicola has signed up for further sessions.
第 23 题 Paragraph 1_______________
根据材料,回答题。
The Weight Experiment
Nicola Walters has been taking part in experiments in Scotland to discover why humans gain
and lose weight. Being locked in a small room called a" calorimeter"(热量测量室)s one way to find out.
1 The signs above the two rooms read simply "Chamber One" and "Chamber Two". These are the calorimeters: 4m by 2m white-walled rooms where human volunteers are locked up in the name of science. Outside these rooms another sign reads" Please do not enter——work in progress" and in front of the rooms advanced machinery registers every move the volunteers make. Each day, meals measured to the last gram are passed through a hole in the wall of the calorimeter to the resident volunteer.
2 Nicola Waiters is one of twenty volunteers who, over the past eight months, have spent varying periods inside the calorimeter. Tall and slim, Nicola does not have a weight problem, but thought the strict diet might help With her training and fitness programme. As a self-employed community dance worker, she was able to fit the experiment in around her work. She saw an advert for volunteers at her local gym and as she is interested in the whole area of diet and exercise, she thought she would help out.
3 The experiment on Nicola involved her"spending one day on a fixed diet at home and the next in the room. This sequence was repeated four times over six weeks. She arrived at the calorimeter at 8:30 am on each of the four mornings and from then on. everything she ate or drank was carefully measured. Her every move was noted too, her daily exercise routine, timed to the last second.
At regular intervals, after eating, she filled in forms about how hungry she felt and samples were taken for analysts.
4 The scientists help volunteers impose a kind of order on the long days they face in the room."The first time, I only took one video and a book, but it was OK because I watched TV the rest of the time," says Nicola. And twice a day she used the exercise bike. She pedaled (踩踏板)
for half an hour, watched by researchers to make sure she didn"t go too fast.
5 It seems that some foods encourage you to eat more, while others satisfy you quickly. Volunteers are already showing that high-fat diets are less likely to make you feel full. Believing that they may now know what encourages people to overeat, the researchers are about to start testing a high-protein weight-loss diet. Volunteers are required and Nicola has signed up for further sessions.
Paragraph 1 查看材料
A.What does the calorimeter look like inside?
B.What program was designed for the experiment?
C.What is a calorimeter?
D.What is the first impression?
E.How do the volunteers kill the time?
F.Why did Nicola join in the experiments?
根据下列材料,请回答题
The Weight Experiment
Nicola Waiters has been taking part in experiments in Scotland to discover why humans gain and lose weight. Being locked in a small room called a"calorimeter" (热量测量室外) is one way to find out.
1 The signs above the two rooms read simply "Chamber One" and "Chamber Two". These are the calorimeters: 4m by 2m white-walled rooms where human volunteers are locked up in the name of science. Outside these rooms another sign reads" Please do not enter-work in progress" and in front of the rooms advanced machinery registers every" move the volunteers make. Each day, meals measured to the last gram are passed through a hole in the wall of the calorimeter to the resident volunteer.
2 Nicola Waiters is one of twenty volunteers who, over the past eight months, have spent varying periods inside the calorimeter. Tall and slim, Nicola does not have a weight problem, but thought the strict diet might help with her training and fitness program me. As a self-employed community dance worker, she was able to fit the experiment in around her work. She saw an advert for volunteers at her local gym and as she is interested in the whole area of diet and exercise, she thought she would help out.
3 The experiment on Nicola involved her spending one day on a fixed diet at home and the next in the room. This sequence was repeated four times over six weeks. She arrived at the calorimeter at 8:30 am on each of the four mornings and from then on everything she ate or drank was carefully measured. Her every move was noted too, her daily exercise routine, timed to the last second. At regular intervals, after eating, she filled in forms about how hungry she felt and samples were taken for analysis.
4 The scientists help volunteers impose a kind of order on the long days they face in the room. "The first time, I only took one video and a book, but it was OK because I watched TV the rest of the time," says Nicola. And twice a day she used the exercise bike. She pedaled (踩踏板) for half an hour, watched by researchers to make sure she didn"t go too fast.
5 It seems that some foods encourage you to eat more, while others satisfy you quickly. Volunteers are already showing that high-fat diets are less likely to make you feel full. Believing that they may now know what encourages people to overeat, the researchers are about to start testing a high-protein weight-loss diet. Volunteers are required and Nicola has signed up for further sessions.
Paragraph 1 __________ 查看材料
A.What does the calorimeter look like inside?
B.What program was designed for the experiment?
C.What is a calorimeter?
D.What is the first impression?
E.How do the volunteers kill the time?
F.Why did Nicola join in the experiments?
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