astronomy

Jin-Yi Cai

Jin-Yi Cai is a astronomy 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 Jin-Yi Cai rather than just read about it. In short: Jin-Yi Cai (Chinese: 蔡进一; born 1961) is a Chinese American mathematician and computer scientist. He is a professor of computer science, and also the Steenbock Professor of Mathematical Sciences at the University of Wisconsin–Madison.

Key takeaways

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

Reference excerpt

Jin-Yi Cai (Chinese: 蔡进一; born 1961) is a Chinese American mathematician and computer scientist. He is a professor of computer science, and also the Steenbock Professor of Mathematical Sciences at the University of Wisconsin–Madison. His research is in theoretical computer science, especially computational complexity theory. In recent years he has concentrated on the classification of computational counting problems, especially counting graph homomorphisms, counting constraint satisfaction problems, and Holant problems as related to holographic algorithms.

Early life Cai was born in Shanghai, China. He studied mathematics at Fudan University, graduating in 1981. He earned a master's degree at Temple University in 1983, a second master's degree at Cornell University in 1985, and his Ph.D. from Cornell in 1986, with Juris Hartmanis as his doctoral advisor.

Academic career He became a faculty member at Yale University (1986-1989), Princeton University (1989-1993), and SUNY Buffalo (1993-2000), rising from Assistant Professor to Full Professor in 1996. He became a Professor of Computer Science at the University of Wisconsin–Madison in 2000.

Awards Cai was a Presidential Young Investigator, Sloan Research Fellow, and a Guggenheim Fellow. He received a Morningside Silver Medal, and a Humboldt Research Award for Senior U.S. Scientists. He was jointly awarded the Gödel Prize in 2021, an award in theoretical computer science for his work in the paper titled: Complexity of Counting CSP with Complex Weights. He was also awarded the Fulkerson Prize in Discrete Mathematics awarded by the American Mathematical Society and the Mathematical Programming Society. He was elected a Fellow of the Association for Computing Machinery (2001), American Association for the Advancement of Science (2007), and a foreign member of Academia Europaea (2017). He was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to computational complexity theory, especially in the areas of complexity dichotomy".

References

Worked examples

Example 1 — a first encounter with Jin-Yi Cai

Start with the simplest possible case. Write down what Jin-Yi Cai claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Jin-Yi Cai 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 Jin-Yi Cai 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 Jin-Yi Cai

In research: Jin-Yi Cai appears in astronomy 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 Jin-Yi Cai 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: Jin-Yi Cai is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1961 births, American computer scientists, Chinese computer scientists, so understanding it makes those chapters shorter.
In everyday life: Look for Jin-Yi Cai 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 “Jin-Yi Cai” →

Affiliate

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

How to study Jin-Yi Cai in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Jin-Yi Cai 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 Jin-Yi Cai out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Jin-Yi Cai in simple terms?

Why does Jin-Yi Cai matter?

Because it connects several astronomy 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 Jin-Yi Cai?

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 Jin-Yi Cai.