2018 年广西桂林电子科技大学数学专业英语考研真题 B 卷
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英译汉
1.
(1) integration
(2) exponential function
(3) absolute value
(4) the subspace spanned by S
(5)x to the nth power
(6) linear combination
2. Suppose f(x) is a function on a domain D such that |f(x)|>M, where M is a constant.
3. Strictly speaking, this description of the positive integers is not entirely
complete because we have not explained in detail what we mean by the expressions
“and so on”, or “repeated addition of 1”.
4. Let A(x,y) be a fixed point on a plane with slope m. Let P(x,y) represent any
point on the plane. Then the slope determined by P and A is equal to m.
5. We can use the concepts of ordered pairs to give a new definition of functions
as follows. A function is a set of ordered pairs such that for each first
coordinate only one second coordinate exists. The domain of a function is the
set of all first coordinates. The range of a function is the set of all second
coordinates.
6. Harmonic functions-the solutions of Laplace’s equation-play a crucial role in
many areas of mathematics, physics, and engineering. But learning about them
is not always easy. At times each of the authors has agreed with Lord Kelvin
and Peter Tail, who wrote
There can be but one opinion as to the beauty and utility of this analysis
of Laplace; but the manner in which it has been hitherto presented has seemed
repulsive to the ablest mathematicians, and difficult to ordinary mathematical
students.