mathematics

Ruth Silverman

Ruth Silverman 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 Ruth Silverman rather than just read about it. In short: Ruth Silverman (born 1936 or 1937, died April 25, 2011) was an American mathematician and computer scientist known for her research in computational geometry. She was one of the original founders of the Association for Women in Mathematics in 1971.

Key takeaways

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

Reference excerpt

Ruth Silverman (born 1936 or 1937, died April 25, 2011) was an American mathematician and computer scientist known for her research in computational geometry. She was one of the original founders of the Association for Women in Mathematics in 1971.

Education and career Silverman completed a Ph.D. in 1970 at the University of Washington. She was a faculty member at the New Jersey Institute of Technology, an associate professor at Southern Connecticut State College, a computer science instructor at the University of the District of Columbia, and a researcher in the Center for Automation Research at the University of Maryland, College Park.

Contributions Silverman's dissertation, Decomposition of plane convex sets, concerned the characterization of compact convex sets in the Euclidean plane that cannot be formed as Minkowski sums of simpler sets. She became known for her research in computational geometry and particular for highly cited publications on k-means clustering[KM] and nearest neighbor search.[NN] Other topics in Silverman's research include robust statistics[LT] and small sets of points that meet every line in finite projective planes.[IP]

Selected publications

References

External links Case, B.A.; Leggett, A.M. (2016). Complexities: Women in Mathematics. Princeton University Press. p. 81. ISBN 978-1-4008-8016-4.

Worked examples

Example 1 — a first encounter with Ruth Silverman

Start with the simplest possible case. Write down what Ruth Silverman 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 Ruth Silverman 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 Ruth Silverman 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 Ruth Silverman

In research: Ruth Silverman 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 Ruth Silverman 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: Ruth Silverman is common in secondary-school and first-year university syllabi. It links to neighbouring topics 2011 deaths, 20th-century American mathematicians, 20th-century American women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Ruth Silverman 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 Ruth Silverman in 20 minutes

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

Frequently asked questions

What is Ruth Silverman in simple terms?

Why does Ruth Silverman 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 Ruth Silverman?

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 Ruth Silverman.