mathematics

Maria Hoffmann-Ostenhof

Maria Hoffmann-Ostenhof 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 Maria Hoffmann-Ostenhof rather than just read about it. In short: Maria Hoffmann-Ostenhof (née Bauer, born 1947) is an Austrian mathematician known for her work on the behavior of the Schrödinger equation, and particularly on its asymptotic analysis, nodal lines, and behavior near its singularities. Hoffmann-Ostenhof was born on 12 January 1947 in Vienna.

Key takeaways

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

Reference excerpt

Maria Hoffmann-Ostenhof (née Bauer, born 1947) is an Austrian mathematician known for her work on the behavior of the Schrödinger equation, and particularly on its asymptotic analysis, nodal lines, and behavior near its singularities. Hoffmann-Ostenhof was born on 12 January 1947 in Vienna. She studied mathematics at the University of Vienna, with a year visiting the University of Zurich, and completed her Ph.D. in 1973 at the University of Vienna. Her dissertation, Über Kongruenzverbände universaler Algebren und binärer Systeme [On congruence relations of universal algebras and binary systems] was supervised by Wilfried Nöbauer. During her studies she married another mathematician, Thomas Hoffmann-Ostenhof. After two years at the Max Planck Institute for Coal Research, she returned to the University of Vienna, where she was employed in various part-time positions. In 1991, she earned a habilitation in mathematics, the first woman at the university to do so; her habilitation thesis was Nullstellen und asymptotisches Verhalten von L2-Lösungen von Schrödingergleichungen [Zeros and asymptotic behavior of L2-solutions of the Schrödinger equation]. She became an associate position at the University of Vienna in 1992, and was given the title of University Professor in 2008. She retired in 2010.

References

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Worked examples

Example 1 — a first encounter with Maria Hoffmann-Ostenhof

Start with the simplest possible case. Write down what Maria Hoffmann-Ostenhof 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 Maria Hoffmann-Ostenhof 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 Maria Hoffmann-Ostenhof 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 Maria Hoffmann-Ostenhof

In research: Maria Hoffmann-Ostenhof 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 Maria Hoffmann-Ostenhof 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: Maria Hoffmann-Ostenhof is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1947 births, Academic staff of the University of Vienna, Austrian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Maria Hoffmann-Ostenhof 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 Maria Hoffmann-Ostenhof in 20 minutes

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

Frequently asked questions

What is Maria Hoffmann-Ostenhof in simple terms?

Why does Maria Hoffmann-Ostenhof 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 Maria Hoffmann-Ostenhof?

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 Maria Hoffmann-Ostenhof.