through the above thinking
... 经过再三思考 After Careful Thinking 经过上述思考 Through The Above Thinking 经过反复思考 After Repeated Thinking ; After Much Thought ...
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through the above thinking
通过以上思考
以上为机器翻译结果，长、整句建议使用 人工翻译 。
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Through the above investigations and studies, this paper puts forward some suggestions and thinking in the following areas: building a harmonious mathematical cultural system;
通过以上的调查研究，本文对初中数学教材中数学文化内容的以下几个方面提出一些建议和思考：构建和谐的数学文化体系；
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