astronomy

Lester S. Hill

Lester S. Hill 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 Lester S. Hill rather than just read about it. In short: Lester S. Hill (1891–1961) was an American mathematician and educator who was interested in applications of mathematics to communications.

Key takeaways

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

Reference excerpt

Lester S. Hill (1891–1961) was an American mathematician and educator who was interested in applications of mathematics to communications. He received a bachelor's degree (1911) and a master's degree (1913) from Columbia College and a Ph.D. from Yale University (1926). He taught at the University of Montana, Princeton University, the University of Maine, Yale University, and Hunter College. Among his notable contributions was the Hill cipher. He also developed methods for detecting errors in telegraphed code numbers and wrote two books.

References

Rosen, Kenneth (2005). Elementary Number Theory and its Applications, fifth edition, Addison-Wesley, p. 292.

Illustrations

Worked examples

Example 1 — a first encounter with Lester S. Hill

Start with the simplest possible case. Write down what Lester S. Hill 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 Lester S. Hill 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 Lester S. Hill 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 Lester S. Hill

In research: Lester S. Hill 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 Lester S. Hill 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: Lester S. Hill is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1891 births, 1961 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Lester S. Hill 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 Lester S. Hill in 20 minutes

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

Frequently asked questions

What is Lester S. Hill in simple terms?

Lester S. Hill (1891–1961) was an American mathematician and educator who was interested in applications of mathematics to communications.

Why does Lester S. Hill 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 Lester S. Hill?

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 Lester S. Hill.