<p>Not a math guy, but this is what I found.</p>

<hr>

<ul>
<li>有理数 = rational number</li>
<li>贯 = sequence</li>
<li>逼近 = approximation</li>
<li>实数 = real number</li>
</ul>

<hr>

<ul>
<li>rational number sequence approximation of a real number</li>
</ul>

<p>-or- perhaps more colloquially:</p>

<ul>
<li>the approximation of real numbers by rational number sequences</li>
</ul>

CC BY-SA 4.0
2019-01-31T06:31:01.500Z
逼近 is, apparently, not a noun word in this context.
dan
CC BY-SA 4.0
2019-01-31T06:32:18.157Z
逼近 is defined by Grand Ricci as `(Math.) Approximation. `
Mou某
CC BY-SA 4.0
2019-01-31T06:36:33.490Z
It could be either "approximate" or "approximation", depending on  how you use it.
dan
CC BY-SA 4.0
2019-01-31T09:37:39.957Z
贯 looks strange to me in this sentence.
iBug
CC BY-SA 4.0
2019-01-31T06:01:35.093Z
2019-01-31T12:14:37.223Z
2019-01-31T12:14:37.223Z
Mou某
<p>It should be understood in this way: 例如/在讲到/用"有理数贯"/逼近"实数"时</p>

<p>where 有理数贯 and 实数 are independent terms.</p>

CC BY-SA 4.0
2019-01-31T06:01:04.730Z
2019-01-31T06:01:04.730Z
dan
<ul>
<li><p>“<a href="https://zh.wikipedia.org/wiki/%E6%9C%89%E7%90%86%E6%95%B0" rel="nofollow noreferrer">有理数</a>": <em>可以表达为两个整数比的数 被定义为有理数 (A number that can be expressed as two integer ratios is defined as a <strong>rational number</strong>)</em></p></li>
<li><p>数贯 = suite; sequence (math)</p></li>
<li><p>有理数贯 = 有理数数贯 (rational number suite/ sequence)</p></li>
</ul>

<p><em>As I see it, 数贯 is another name for 数学公式 (Mathematical formula)</em></p>

<ul>
<li><p>逼近 = approach/ close to</p></li>
<li><p>实数 = real number</p></li>
</ul>

<blockquote>
  <p>“有理数贯逼近实数” means "rational number suite close to a real number"</p>
</blockquote>

<p><em>I think a Mathematician can answer this better. I have no idea what is the difference between rational number and real number and what it meant when he said one is getting close to the other.</em></p>

CC BY-SA 4.0
2019-01-31T06:17:37.320Z
实数 should be real number
fefe
CC BY-SA 4.0
2019-01-31T06:22:00.910Z
that show how little I know math. 'real ' and 'actual ' seem like the same to me at first, now I see 'actual number' could mean 'exact number'
Tang Ho
CC BY-SA 4.0
2019-01-31T06:12:22.503Z
2019-01-31T06:18:25.910Z
2019-01-31T06:18:25.910Z
Tang Ho
<p>"有理数" = rational numbers<br>
"数贯" = (numerical) sequence (obsolete, the more conventional term nowadays is "数列")<br>
"逼近" = literally, "to approach", "to get close to"； mathematically, "to approximate"<br>
"实数" = real numbers</p>

<p>Therefore, "有理数贯逼近实数" means "using a sequence of rationals to approximate (a) real", so this sounds like something similar to a Cauchy sequence.</p>

<p>In context of this article, it is probably that Hua Loo-Keng was giving a lecture on the construction of real numbers using Cauchy sequences (likely in a real analysis course), and he introduced continued fractions (连分数) in the context of that.</p>

<p><strong>Disclaimer</strong>: I am a native Chinese (Mandarin) speaker with a reasonable amount of knowledge of mathematics (but I am not a professional mathematician).</p>

CC BY-SA 4.0
2019-01-31T22:13:43.323Z
2019-02-02T04:52:16.297Z
2019-02-02T04:52:16.297Z
xuq01
<p>In <a href="http://www.kepu.net.cn/gb/hlg100/page_1028.htm" rel="nofollow noreferrer">this article</a>, the phrase “有理数贯逼近实数” is used (see the second last paragraph). How to understand this phrase?</p>

<meaning><meaning-in-context>
How to understand “有理数贯逼近实数”？
# How to understand “有理数贯逼近实数”？

(Asked by: username_0 on 2019-01-31)

In [this article](http://www.kepu.net.cn/gb/hlg100/page_1028.htm), the phrase “有理数贯逼近实数” is used (see the second last paragraph). How to understand this phrase?

**Tags:** meaning, meaning-in-context


---

## 4 answers

### Answer by username_6 on 2019-01-31. Score: 5 | Accepted answer

"有理数" = rational numbers  
"数贯" = (numerical) sequence (obsolete, the more conventional term nowadays is "数列")  
"逼近" = literally, "to approach", "to get close to"； mathematically, "to approximate"  
"实数" = real numbers

Therefore, "有理数贯逼近实数" means "using a sequence of rationals to approximate (a) real", so this sounds like something similar to a Cauchy sequence.

In context of this article, it is probably that Hua Loo-Keng was giving a lecture on the construction of real numbers using Cauchy sequences (likely in a real analysis course), and he introduced continued fractions (连分数) in the context of that.

**Disclaimer**: I am a native Chinese (Mandarin) speaker with a reasonable amount of knowledge of mathematics (but I am not a professional mathematician).


---

### Answer by username_1 on 2019-01-31. Score: 2

Not a math guy, but this is what I found.

---

* 有理数 = rational number
* 贯 = sequence
* 逼近 = approximation
* 实数 = real number

---

* rational number sequence approximation of a real number

-or- perhaps more colloquially:

* the approximation of real numbers by rational number sequences

> **Comments:**
> **username_2**: 逼近 is, apparently, not a noun word in this context.  
> **username_1**: 逼近 is defined by Grand Ricci as `(Math.) Approximation. `  
> **username_2**: It could be either "approximate" or "approximation", depending on  how you use it.  
> **username_3**: 贯 looks strange to me in this sentence.  

---

### Answer by username_2 on 2019-01-31. Score: 0

It should be understood in this way: 例如/在讲到/用"有理数贯"/逼近"实数"时

where 有理数贯 and 实数 are independent terms.


---

### Answer by username_4 on 2019-01-31. Score: 0

* “[有理数](https://zh.wikipedia.org/wiki/%E6%9C%89%E7%90%86%E6%95%B0)": *可以表达为两个整数比的数 被定义为有理数 (A number that can be expressed as two integer ratios is defined as a **rational number**)*
* 数贯 = suite; sequence (math)
* 有理数贯 = 有理数数贯 (rational number suite/ sequence)

*As I see it, 数贯 is another name for 数学公式 (Mathematical formula)*

* 逼近 = approach/ close to
* 实数 = real number

> “有理数贯逼近实数” means "rational number suite close to a real number"

*I think a Mathematician can answer this better. I have no idea what is the difference between rational number and real number and what it meant when he said one is getting close to the other.*

> **Comments:**
> **username_5**: 实数 should be real number  
> **username_4**: that show how little I know math. 'real ' and 'actual ' seem like the same to me at first, now I see 'actual number' could mean 'exact number'  

---

