mathematics

Wu Renchen

Wu Renchen is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Wu Renchen rather than just read about it. In short: Wu Renchen (吳任臣, [ǔ ɻə̂n.ʈʂʰə̌n]) (c. 1628 – c. 1689), with courtesy names of Zhiyi (志伊), Erqi (爾器) and Zhenghong (征鴻), and an art name of Tuoyuan (託園), was a Chinese historian, mathematician, politician, and writer during the Qing dynasty. Originally from Renhe (仁和; today's Hangzhou, Zhejiang), he gained recognition in the field of historical scholarship and was recommended in 1678 to take the special examination k…

Key takeaways

Wu Renchen belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Wu Renchen to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Wu Renchen from memory before moving on to harder problems.

Reference excerpt

Wu Renchen (吳任臣, [ǔ ɻə̂n.ʈʂʰə̌n]) (c. 1628 – c. 1689), with courtesy names of Zhiyi (志伊), Erqi (爾器) and Zhenghong (征鴻), and an art name of Tuoyuan (託園), was a Chinese historian, mathematician, politician, and writer during the Qing dynasty. Originally from Renhe (仁和; today's Hangzhou, Zhejiang), he gained recognition in the field of historical scholarship and was recommended in 1678 to take the special examination known as boxue hongci (博學鴻詞), which he passed in the following year. Thereafter, he became a corrector in the Hanlin Academy and contributed to the compilation of the official History of Ming, focusing on the section dealing with the calendar, in which he made special contributions. He is best known for writing the Spring and Autumn Annals of the Ten Kingdoms on the 10th-century Five Dynasties and Ten Kingdoms period history. This book, as well as his commentary on the Classic of Mountains and Seas, were later included in the Siku Quanshu, imperial encyclopedia of the Qing dynasty.

Sources Tu, Lien-chê (1943). "Wu Jên-ch'ên" . In Hummel, Arthur W. Sr. (ed.). Eminent Chinese of the Ch'ing Period. United States Government Printing Office. p. 870.

Worked examples

Example 1 — a first encounter with Wu Renchen

Start with the simplest possible case. Write down what Wu Renchen claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Wu Renchen before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Wu Renchen ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Wu Renchen

In research: Wu Renchen appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Wu Renchen in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Wu Renchen is common in secondary-school and first-year university syllabi. It links to neighbouring topics 17th-century Chinese historians, 17th-century Chinese mathematicians, 17th-century births, so understanding it makes those chapters shorter.
In everyday life: Look for Wu Renchen outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Wu Renchen” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Wu Renchen in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Wu Renchen means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Wu Renchen out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Wu Renchen in simple terms?

Why does Wu Renchen matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Wu Renchen?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Wu Renchen.