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1. Based on the number set, a new commutative semi-group is established in the integer number and extended in number fields of rational number, real number and the complex number.
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2. Based on the number set, a new commutative semi-group is established in the integer number and extended in number fields of rational number, real number and the complex number.
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3. Hume rational basis for critique of traditional religions, primarily reflected in the design of deism that with the traditional theory of rational argument on the theology of the revealed religions.
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4. All that is real is rational, and all that is rational is real.
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5. Results show that the existence of risk for rational arbitragers and the investors' psychology overconfidence could limit the rational arbitrageur's behavior.
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rational number
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rational number
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rational number field
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rational number field
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class number of a rational simple algebra
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