astronomy

John William Theodore Youngs

John William Theodore Youngs 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 John William Theodore Youngs rather than just read about it. In short: John William Theodore Youngs (usually cited as J. W.

Key takeaways

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

Reference excerpt

John William Theodore Youngs (usually cited as J. W. T. Youngs, known as Ted Youngs; 21 August 1910 Bilaspur, Chhattisgarh, India – 20 July 1970 Santa Cruz, California) was an American mathematician. Youngs was the son of a missionary. He completed his undergraduate study at Wheaton College and received his PhD from Ohio State University in 1934 under Tibor Radó. He then taught for 18 years at Indiana University, where for eight years he was chair of the mathematics department. From 1964, he was a professor at the University of California, Santa Cruz, where he developed the mathematics faculty and was chair of the academic senate of the university. Youngs worked in geometric topology, for example, questions on the Frechét-equivalence of topological maps. He is famous for the Ringel–Youngs theorem (i.e. Ringel and Youngs's 1968 proof of the Heawood conjecture), which is closely related to the analogue of the four-color theorem for surfaces of higher genus. John Youngs was a consultant for Sandia National Laboratories, the Rand Corporation and the Institute for Defense Analyses as well as a trustee for Carver Research Foundation Institute in Tuskegee. In 1946–1947, he was a Guggenheim Fellow. At the University of Santa Cruz, a mathematics prize for undergraduates is named after him.

Sources Obituary in Journal of Combinatorial Theory, vol 13, 1972

References

External links Obituary from the University of California

Worked examples

Example 1 — a first encounter with John William Theodore Youngs

Start with the simplest possible case. Write down what John William Theodore Youngs 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 John William Theodore Youngs 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 John William Theodore Youngs 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 John William Theodore Youngs

In research: John William Theodore Youngs 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 John William Theodore Youngs 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: John William Theodore Youngs is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1910 births, 1970 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for John William Theodore Youngs 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 John William Theodore Youngs in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what John William Theodore Youngs 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 John William Theodore Youngs out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is John William Theodore Youngs in simple terms?

John William Theodore Youngs (usually cited as J. W.

Why does John William Theodore Youngs 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 John William Theodore Youngs?

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 John William Theodore Youngs.