查询词典 real number

In mathematics, the absolute value of a real number is its distance from zero on a number line.

在数学中，绝对值是正数。

Based on the view that the theorem of closed mested interval is an axiom,this paper deduces the essential limit of monotonic bounded sequence of number and the Dedekind theorem,and proves the general theorem of bull closed nested interval of real number .

以通常所说的闭区间套定理作为公理推出单调有界数列存在极限和Dedekind定理，并且证明了通常所说的实数满闭区间套定理

Composition weight factor is derived from the concept of "radix" in natural number systems, and to be the generalization of it in real number field.

组成权重因子"来源于自然计数制中"基数的概念，是它在实数域上的推广。

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下："此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。"

"For example, a graph of the relationship Between real numbers and their squares matches each real number on a horizontal axis with its square on a vertical axis."

举例来说，实数与其平方的关系图表符合了横坐标上每个实数皆对应到纵坐标上的平方值。

The typical Arithmetic Coding does not map a single source to a word, but maps the whole input symbol sequence to a section of 0,1 on the real number axis, the width of which is equal to the probably of the sequence. A representative binary fraction in the section is chosen as real output to get efficient compressed codes.

典型的算术编码不是将单个的信源符号映射成一个码字，而是将整个输入符号序列映射成为实数轴上0，1区间内的一个小区间，其长度等于该序列的概率；在该小区间内选择一个代表性的二进制小数，作为实际的编码输出，从而达到了高效编码的目的。

The fact that a real number might have two different decimal representations is merely a reflection of the fact that two different sets of real numbers can have the same supremum.

一个实数可以有两种不同的小数表示法，仅仅是两个不同的实数集合可以有相同的最小上界的一个反映。

The fact that a real number might have two different decimal representations is merely a reflection of the fact that two different sets of real numbers can have the same supremum.）refApostol p.12/ref /blockquote

汤姆·阿波斯托尔得出结论： blockquote 一个实数可以有两种不同的小数表示法，仅仅是两个不同的实数集合可以有相同的最小上界的一个反映。

Objetive:To investigate the histopathological features and detect the mutation of JAK2V617F in PV、ET and IMF;to analyze the effects of the stages of myelofibrosis and the mutation on the number of leucocyte in PV and ET patients;Methods: the morphological features of 69 patients who dignosed in the first time were studied by HGF and Gomori stains ; the mutation of JAK2V617F was detected in 38 blood or marrow samples of PV、ET and IMF patients by real-time PCR;the effects of the stages of myelofibrosis and the mutation on leucocytes were analyzed;Results: Different stages of reticulin were observed in 15 PV and 15 ET patiens'marrow sections,and the cytosis、the pleomorphism and the bone trabecula side location of megakaryocytes were observed in all PV、ET and IMF patients;the means of leucocyte in patients with and without JAK2V617F were 20.4×109/Land 11.4×109/L respectively;the P value was 0.367 as comparing the leucocytes among different stages of reticulin increasing.

目的：探讨PV、ET、IMF患者的骨髓病理特点并且检测JAK2V617F突变的发生率，分析骨髓中纤维增生程度以及JAK2V617F对PV、ET患者白细胞数的影响；方法：69例初诊患者的骨髓切片经HGF染色以及Gomori染色后进行形态学研究；并利用real-time PCR法测38例患者的骨髓或者外周血的JAK2V617F突变；分析骨髓切片中纤维组织增生程度以及JAK2突变对患者白细胞数的影响；结果：15例PV和15例ET患者的骨髓切片中可以观察到不同程度的纤维组织增生，所有PV、ET、IMF患者骨髓病理中可见到巨核细胞增多、巨核细胞多形性改变以及巨核细胞定位于骨小梁旁；12例PV、4例ET、4例IMF中检测到JAK2V617F；有突变和无突变患者发病时白细胞数均值分别为20.4×109/L和11.4×109/L，比较不同纤维增生程度的PV、ET患者的白细胞数均值，P值为0.367。

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下：&此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。&

Objective To investigate the effects of interleukin-1 β converting enzyme gene on the biologic characteristics of ovarian cancer cells.

目的 探讨白细胞介素-1 β转换酶的表达，对卵巢癌细胞生物学特性的影响。

Campylobacter: This illness is the most commonly identified cause of diarrheal illness in the world.

弯曲：这种病是最常见的原因查明腹泻病，在世界上。