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Viktor Trkal

Viktor Trkal 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 Viktor Trkal rather than just read about it. In short: Viktor Trkal (14 August 1888 – 3 September 1956) was a Czech physicist and mathematician who specialized in theoretical quantum physics. Life and work Trkal was born on 14 August 1888 in Ostřetín.

Viktor Trkal — main illustration
Viktor Trkal — illustration

Key takeaways

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

Reference excerpt

Viktor Trkal (14 August 1888 – 3 September 1956) was a Czech physicist and mathematician who specialized in theoretical quantum physics.

Life and work Trkal was born on 14 August 1888 in Ostřetín. He went to the Gymnasium in Vysoké Mýto. From 1906 to 1910, he studied mathematics and physics in Prague. His mathematics professors were Karel Petr, Jan Sobotka and later Bohumil Bydžovský. He attended physics lectures by Vincenc Strouhal, Bohumil Kučera, František Koláček and František Záviška. He obtained his doctorate in 1911 with a thesis on the Problem of Dirichlet and Neumann with integral equations. Then he did his one-year military service and afterwards taught at a business school in Prague in 1912–1914. During World War I Trkal was twice wounded and in March 1915 he was made prisoner of war by the Russians, after he first was considered dead but shouted "Don't shoot!" to a Russian soldier. He then stayed in several prison camps where he also contracted malaria. He wrote to Professor Orest Khvolson of Saint Petersburg. Thanks to his advocacy, Trkal was assigned to the new University of Perm in the Urals, where he obtained his habilitation qualification and became associate professor of mechanics and physics in 1918. After the war he returned to Czechoslovakia where he taught in high school and became a physics assistant to Professor Záviška. In the academic year October 1919 – June 1920, Trkal studied with Hendrik Antoon Lorentz and Paul Ehrenfest in Leiden, where he was Ehrenfest's assistant and met Albert Einstein. In 1921, he graduated from the University of Prague in theoretical physics. In 1922, he was appointed extraordinary and in 1929 a full professor of theoretical physics. Trkal died on 3 September 1956 in Prague and is buried at the Prague's Olšany Cemetery.

Trkalian flow Trkalian flow is named after him. In 1919, Trkal published an article in Czech on the hydromechanics of viscous fluids where he addressed the simplification of the Navier-Stokes equations used in hydromechanics. The article reached scientists abroad, mainly in France, Norway and the United States. Norwegian physicist Oddvar Bjørgum introduced the term "Trkalian field". This term (or "Trkalian flow") is now commonly used in professional international literature.

References

Further reading Czechoslovak Journal of Physics Viktor Trkal, Beltrami fields, and Trkalian flows Czechoslovak Journal of Physics 70th Birthday of Professor Trkal

External links Život a dílo Profesora Viktora Trkala v obrazech on physics.mff.cuni.cz (in Czech)

Illustrations

Viktor Trkal illustration

Worked examples

Example 1 — a first encounter with Viktor Trkal

Start with the simplest possible case. Write down what Viktor Trkal 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 Viktor Trkal 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 Viktor Trkal 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 Viktor Trkal

In research
Viktor Trkal 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 Viktor Trkal 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
Viktor Trkal is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1888 births, 1956 deaths, 20th-century Czech mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Viktor Trkal 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 Viktor Trkal in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Viktor Trkal means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Viktor Trkal out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Viktor Trkal in simple terms?

Viktor Trkal (14 August 1888 – 3 September 1956) was a Czech physicist and mathematician who specialized in theoretical quantum physics. Life and work Trkal was born on 14 August 1888 in Ostřetín.

Why does Viktor Trkal 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 Viktor Trkal?

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 Viktor Trkal.

Tags

  • 1888 births
  • 1956 deaths
  • 20th-century Czech mathematicians
  • Burials at Olšany Cemetery
  • Czech physicists
  • Czechoslovak mathematicians
  • Czechoslovak physicists
  • Fluid dynamicists
  • People from Pardubice District

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