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编码方式采用实数编码; Real number coding is adopted. | ||
实数集的上确界公理用到了实数集的子集,这是一种二阶逻辑的陈述。 The supremum axiom of the reals refers to subsets of the reals and is therefore a second-order logical statement. | ||
代码示例9:对实数精度的测试。 Code Sample 9: Test for real number precision. | ||
返回数值的双曲正弦值。!任意实数! Returns the hyperbolic sine of a number! Is any real number! | ||
计算数值的双曲余弦值。!任意实数。! Returns the hyperbolic cosine of a number! Is any real number ! | ||
综上所述的结论是,希尔伯特旅馆容纳不下所有的实数。 The conclusion is that the Hilbert Hotel can't accommodate all the real Numbers. | ||
最后证明了良序集和实数集合具有序拓扑遗传性。 Finally we prove that well-ordered set and real set both have ordered topological hereditary. | ||
实数范围内多项式的因式分解在初等数学的许多领域占有举足轻重的地位。 The divisor decompose of polynomial in real number field be important in the many field of elementary mathematics. | ||
应用闭区间连续函数性质和实数连续性定理,给出证明广义中值定理的一个新思路。 Closed interval continuous function and continuity theorem of real number apply to a novel demonstration of general theorem of the mean. | ||
不同于实数——平方之后无论正负都是正数,负数开平方因此得到了“虚”数之名,并为许多人轻视。 Since both negative and positive Numbers, when multiplied by themselves, give positive answers, such Numbers were labelled "imaginary", and regarded by many as meaningless. | ||