astronomy

Kim-Chuan Toh

Kim-Chuan Toh 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 Kim-Chuan Toh rather than just read about it. In short: Kim-Chuan Toh is a Singaporean mathematician, and Leo Tan Professor in Science at the National University of Singapore (NUS). He is known for his contributions to the theory, practice, and application of convex optimization, especially semidefinite programming and conic programming.

Key takeaways

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

Reference excerpt

Kim-Chuan Toh is a Singaporean mathematician, and Leo Tan Professor in Science at the National University of Singapore (NUS). He is known for his contributions to the theory, practice, and application of convex optimization, especially semidefinite programming and conic programming.

Education Toh received BSc (Hon.) in 1990 and MSc in 1992, from NUS, and PhD in 1996 from Cornell University.

Awards and honours Toh received the 2017 INFORMS Optimization Society Farkas Prize, and 2019 President's Science Award (Singapore). He is a fellow of the Society of Industrial and Applied Mathematics (Class of 2018). In 2020, Toh became a laureate of the Asian Scientist 100 by the Asian Scientist.

Selected works Toh, K. C.; Todd, M. J.; Tütüncü, R. H., "SDPT3—a MATLAB software package for semidefinite programming, version 1.3. Interior point methods". Optim. Methods Softw. 11/12 (1999), no. 1–4, 545–581. Tütüncü, R. H.; Toh, K. C.; Todd, M. J., "Solving semidefinite-quadratic-linear programs using SDPT3. Computational semidefinite and second order cone programming: the state of the art". Math. Program. 95 (2003), no. 2, Ser. B, 189–217. Toh, K. C.; Yun, S., "An accelerated proximal gradient algorithm for nuclear norm regularized linear least squares problems". Pac. J. Optim. 6 (2010), no. 3, 615–640. Todd, M. J.; Toh, K. C.; Tütüncü, R. H., "On the Nesterov-Todd direction in semidefinite programming". SIAM J. Optim. 8 (1998), no. 3, 769–796. Zhao, X.-Y.; Sun, D.; Toh, K. C., "A Newton-CG augmented Lagrangian method for semidefinite programming". SIAM J. Optim. 20 (2010), no. 4, 1737–1765. Driscoll, T. A.; Toh, K. C.; Trefethen, L. N., "From potential theory to matrix iterations in six steps". SIAM Rev. 40 (1998), no. 3, 547–578.

References

External links Homepage of Kim Chuan Toh The Mathematics Genealogy Project – Kim Chuan Toh

Worked examples

Example 1 — a first encounter with Kim-Chuan Toh

Start with the simplest possible case. Write down what Kim-Chuan Toh 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 Kim-Chuan Toh 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 Kim-Chuan Toh 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 Kim-Chuan Toh

In research: Kim-Chuan Toh 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 Kim-Chuan Toh 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: Kim-Chuan Toh is common in secondary-school and first-year university syllabi. It links to neighbouring topics Academic staff of the National University of Singapore, Living people, National University of Singapore alumni, so understanding it makes those chapters shorter.
In everyday life: Look for Kim-Chuan Toh 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.

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How to study Kim-Chuan Toh in 20 minutes

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

Frequently asked questions

What is Kim-Chuan Toh in simple terms?

Why does Kim-Chuan Toh 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 Kim-Chuan Toh?

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 Kim-Chuan Toh.