数学专业英语－（c）How to write an abstract?

yunjiang · 发表于 2004-5-6 10:06:53

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align=left> 论文摘要的写法不像数学术语的定义和数学定理的叙述那样。有一定的格式可循，但对于初学者来说仍有一些常见的句子可加以摹仿。现略举一些这样的句子，并附上一些论文摘要作为例子，供读者参考。需要指出的是，我们这里所举的例句对普遍的文章均适合，比较抽象，具体的论文摘要除了可用上下面某些句子外，必须有具体内容，更确切地说摘要中要包括一些 key words 以说明该文涉及的内容，但一般不要在摘要中引用文献。
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align=left>1．开门见山，说明文章内容，可用下面的句子起句：
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<TR>
<TD >
<DIV class=shape v:shape="_x0000_s1028">
prove
show
present
develop
generalize
investigate
 </DIV></TD></TR></TABLE><v:shape><v:textbox style="mso-next-textbox: #_x0000_s1027"></v:textbox></v:shape>
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<TR>
<TD >
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paper
note</DIV></TD></TR></TABLE><v:shape><v:textbox style="mso-next-textbox: #_x0000_s1026"></v:textbox></v:shape>
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<TR>
<TD >
<DIV class=shape v:shape="_x0000_s1026">
aim
object 
purpose</DIV></TD></TR></TABLE> The of this is to …
 
 
 
 
 
 
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<TR>
<TD >
<DIV class=shape v:shape="_x0000_s1029">
prove
show
present
develop
generalize
investigate</DIV></TD></TR></TABLE> It is the purpose of this paper to …
 
 
 
 
 
 
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<TR>
<TD >
<DIV class=shape v:shape="_x0000_s1030">
is concerned
deals </DIV></TD></TR></TABLE> This paper with…
 
 
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<TR>
<TD >
<DIV class=shape v:shape="_x0000_s1031">
prove
present 
propose to show</DIV></TD></TR></TABLE> In this paper we …
 
 
 
2.如果需要简略回顾历史，然后再说明自己文章的内容，则可参考采用下面句子。
 The problem…was first treated by…and later…improved by…The purpose of this paper is to prove that it holds in a more general case.
 …first raised the problem which was later partly solved by…We now solve this problem in the case of …
3.如果文章推广了别人的结果，或减弱了别人结果中的条件，则可参考采用下面句子：
 The purpose of this paper is to generalize the results obtained by…to a more general case,i.e.,…
 In this paper we shall prove several theorems which are generalizations to the results given by…
 This paper intends to remove some unnecessary assumptions (e.g., regularity) from the paper on…
 This paper deals with generalizations of the following problem…
 This paper improves the result of…on…by weakening the conditions…
例：
 It is the purpose of the present paper to point out that certain basic aspects of information-processing systems possess dynamical analogy, and to show that these analogies can be exploited to obtain deeper insights into the behavior of complex systems.
We present a general comparision principle for systems of boundary value problems and employ this result for proving existence and uniqueness of solutions, stability and existence of periodic solutions for non-linear boundary value problems.
We proved a theorem for generalized non-expansive mappings in locally convex spaces and extend the results of Kirk and Kaun. We also obtain a theorem which generalizes the results of Brouder.
This paper is concerned with the existence of multiple solutions of boundary problems for the non-linear differential equation of the form….
This paper is concerned with the question of local uniqueness of solutions of Cauchy Problem for elliptic partial differential equations with characteristics of multiplicity not greater than 2.
The object of this paper is to investigate the behavior at the boundary of solutions to the uniformly semi-linear equation…
The aim of this paper is to try to minimize the functional
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over the class of all absolutely continuous functions f(x) which satisfy the boundary conditions f( <v:shape><v:imagedata></v:imagedata></v:shape>)=<v:shape> <v:imagedata></v:imagedata></v:shape>,f(<v:shape> <v:imagedata></v:imagedata></v:shape>)=<v:shape> <v:imagedata></v:imagedata></v:shape>.

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