mathematics

George E. Collins

George E. Collins 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 George E. Collins rather than just read about it. In short: George E. Collins (born on January 10, 1928 in Stuart, Iowa – and died on November 21, 2017 in Madison, Wisconsin) was an American mathematician and computer scientist.

Key takeaways

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

Reference excerpt

George E. Collins (born on January 10, 1928 in Stuart, Iowa – and died on November 21, 2017 in Madison, Wisconsin) was an American mathematician and computer scientist. He is the inventor of garbage collection by reference counting[G60] and of the method of quantifier elimination by cylindrical algebraic decomposition.[G75] He received his PhD from Cornell University in 1955. He worked at IBM, the University of Wisconsin–Madison (1966–1986) Ohio State University, RISC-Linz, University of Delaware, and North Carolina State University.

Selected publications

References

Worked examples

Example 1 — a first encounter with George E. Collins

Start with the simplest possible case. Write down what George E. Collins 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 George E. Collins 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 George E. Collins 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 George E. Collins

In research: George E. Collins 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 George E. Collins 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: George E. Collins is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1928 births, 2017 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for George E. Collins 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 George E. Collins in 20 minutes

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

Frequently asked questions

What is George E. Collins in simple terms?

George E. Collins (born on January 10, 1928 in Stuart, Iowa – and died on November 21, 2017 in Madison, Wisconsin) was an American mathematician and computer scientist.

Why does George E. Collins 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 George E. Collins?

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 George E. Collins.