mathematics

George Bard Ermentrout

George Bard Ermentrout 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 Bard Ermentrout rather than just read about it. In short: G. Bard Ermentrout is an American mathematician and distinguished professor at University of Pittsburgh and a member of the Odor2Action research network.

Key takeaways

George Bard Ermentrout 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 Bard Ermentrout to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of George Bard Ermentrout from memory before moving on to harder problems.

Reference excerpt

G. Bard Ermentrout is an American mathematician and distinguished professor at University of Pittsburgh and a member of the Odor2Action research network. He uses nonlinear dynamics for the mathematical modeling of problems in neuroscience. He explores patterns of activation in neural systems as they relate to biological problems such as olfaction. Bard Ermentrout is known for his contributions to computational and mathematical neuroscience. His joint work with Nancy Kopell derived the Ermentrout and Kopell canonical model, He and David Terman wrote the book Mathematical Foundations of Neuroscience. He helped to develop the dynamical systems software XPPAuto. One approach he uses in the study of olfaction is to program a virtual creature, implement various movement strategies for tracking scents, and examine their success rate under a different conditions. This enables researchers to better understand olfactory navigation strategies such as tropotaxis and klinotaxis and how they work in conditions such as high turbulence. Outside of work, he is fond of his many pets and has owned many pet parrots over the years. He most recently owns a galah and two corgis. He is also a lover of limericks.

References

Worked examples

Example 1 — a first encounter with George Bard Ermentrout

Start with the simplest possible case. Write down what George Bard Ermentrout 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 Bard Ermentrout 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 Bard Ermentrout 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 Bard Ermentrout

In research: George Bard Ermentrout 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 Bard Ermentrout 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 Bard Ermentrout is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1954 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for George Bard Ermentrout 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 Bard Ermentrout in 20 minutes

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

Frequently asked questions

What is George Bard Ermentrout in simple terms?

G. Bard Ermentrout is an American mathematician and distinguished professor at University of Pittsburgh and a member of the Odor2Action research network.

Why does George Bard Ermentrout 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 Bard Ermentrout?

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 Bard Ermentrout.