mathematics

Hannes Keller

Hannes Keller 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 Hannes Keller rather than just read about it. In short: Hannes Keller (20 September 1934 – 1 December 2022(2022-12-01) (aged 88)) was a Swiss physicist, mathematician, deep diving pioneer, and entrepreneur. In 1962, he reached a depth of 1,000 feet (300 m) in open ocean.

Key takeaways

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

Reference excerpt

Hannes Keller (20 September 1934 – 1 December 2022(2022-12-01) (aged 88)) was a Swiss physicist, mathematician, deep diving pioneer, and entrepreneur. In 1962, he reached a depth of 1,000 feet (300 m) in open ocean. In the 1970s through the 1980s, Keller made himself a name as an entrepreneur in the IT industry. Keller was also an amateur classical pianist who produced two CDs and occasionally performed for audiences of up to 2000 people.

Deep diving

Keller was born in Winterthur, Switzerland. He studied philosophy, mathematics, and theoretical physics at the University of Zurich. He became interested in deep diving and developed tables for mixed-gas decompression, supported by Albert A. Bühlmann who suggested suitable gases. Keller successfully tested his idea in Lake Zurich, where he reached a depth of 400 feet (120 m), and Lake Maggiore, where he reached a depth of 728 feet (222 m). On 3 December 1962, he set a new world record when he reached a depth of 1,000 feet (300 m) off the coast of Santa Catalina Island, California, together with Peter Small. This major achievement was overshadowed by the tragic end of the mission: Keller was lucky to survive while Peter Small and Chris Whittaker, a young UCLA student and supporting diver, lost their lives. In the following years, navies and hospitals bought decompression chambers constructed by Keller.

Career after diving In the 1970s, Keller sold his own line of computers and in the 1980s became a leading vendor of IBM PCs in Switzerland. He developed a series of software products (Witchpen, Ways for Windows, and Wizardmaker) which provided automatic spell checking, literal machine translation, and macro recording. Keller used to run Visipix the largest fine art and photo museum online with 1.3 million exhibits, all with free copyrights for any use. After 2005, Keller was a full-time artist. In 2009, Keller joined the advisory board for the United States Historical Diving Society. Keller died on 1 December 2022 in Niederglatt, Switzerland, at the age of 88.

References

Further reading Keller, H (1975). "Diving 2001. presented at Oceans 2000 in 1973". South Pacific Underwater Medicine Society Journal. 5 (3). ISSN 0813-1988. OCLC 16986801. {{cite journal}}: |access-date= requires |url= (help)CS1 maint: deprecated archival service (link)

Illustrations

Hannes Keller: Keller donning diving dress at the United States Navy Experimental Diving Unit[7] — Keller donning diving dress at the United States Navy Experimental Diving Unit[7]

Worked examples

Example 1 — a first encounter with Hannes Keller

Start with the simplest possible case. Write down what Hannes Keller 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 Hannes Keller 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 Hannes Keller 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 Hannes Keller

In research: Hannes Keller 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 Hannes Keller 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: Hannes Keller is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1934 births, 2022 deaths, 20th-century Swiss mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Hannes Keller 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 Hannes Keller in 20 minutes

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

Frequently asked questions

What is Hannes Keller in simple terms?

Why does Hannes Keller 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 Hannes Keller?

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 Hannes Keller.