Text 4
Over the past few decades, there has been a considerable increase in the use of mathematical analysis, both for solving everyday problems and for theoretical developments of many disciplines. For example, economics, biology, geography and medicine have all seen a considerable increase in the use of quantitative techniques. Twenty years ago applied mathematics meant the application of mathematics to problems in mechanics and little else--now, applied mathematics, or as many people prefer to call it, applicable mathematics, could refer to the use of mathematics in many varied areas. The one unifying theme that these applications have is that of mathematical modeling, by which we mean the construction of a mathematical model to describe the situation under study. This process of changing a real life problem into a mathematical one is not at all easy, we hasten to add, although one of the overall aims of this book is to improve your ability as a mathematical mod
A. Many books have been written on the topic of mathematical, modeling these years
B. Books devoted to mathematical modeling usually pay special attention to modeling formulation
C. The book introduced here does not claim that it had the best methods for teaching how to deal with real problems
D. The book introduced here takes the mastery of model formulation as its main purpose
Text 4
Over the past few decades, there has been a considerable increase in the use of mathematical analysis, both for solving everyday problems and for theoretical developments of many disciplines. For example, economics, biology, geography and medicine have all seen a considerable increase in the use of quantitative techniques. Twenty years ago applied mathematics meant the application of mathematics to problems in mechanics and little else--now, applied mathematics, or as many people prefer to call it, applicable mathematics, could refer to the use of mathematics in many varied areas. The one unifying theme that these applications have is that of mathematical modeling, by which we mean the construction of a mathematical model to describe the situation under study. This process of changing a real life problem into a mathematical one is not at all easy, we hasten to add, although one of the overall aims of this book is to improve your ability as a mathematical mod
A. reads it carefully
B. understands the general concept it provides
C. C .reads Section Ⅰ and Ⅱ as well
D. tries to solve the problems provided in Sections Ⅰ and Ⅱ
Passage Four
For some time past it has been widely accepted that babies and other creatures learn to do things because certain acts lead to "rewards"; and there is no reason to doubt that this is true. But it used also to be widely believed that effective rewards, at least in the early stages, had to be directly related to such basic physiological "drives" as thirst or hunger. In other words, a baby would learn if he got food or drink or some sort of physical comfort, not otherwise.
It is now clear that this is not so. Babies will learn to behave in ways that produce results in the world with no reward except the successful outcome.
Papousek began his studies by using milk in the normal way to "reward" the babies and so teach them to carry out some simple movements, such as turning the head to one side or the other. Then he noticed that a baby who had had enough to drink would refuse the milk but would still go on makin
A. would make learned responses when it saw the milk
B. would carry out learned movements without being given milk
C. would continue the simple movements without being given milk
D. would turn its head to fight or left when it had enough to drink
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