mathematics

Johan Jensen (mathematician)

Johan Jensen (mathematician) 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 Johan Jensen (mathematician) rather than just read about it. In short: Johan Ludwig William Valdemar Jensen (8 May 1859 – 5 March 1925), mostly known as Johan Jensen, was a Danish mathematician and engineer. He was the president of the Danish Mathematical Society from 1892 to 1903.

Key takeaways

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

Reference excerpt

Johan Ludwig William Valdemar Jensen (8 May 1859 – 5 March 1925), mostly known as Johan Jensen, was a Danish mathematician and engineer. He was the president of the Danish Mathematical Society from 1892 to 1903.

Biography Jensen was born in Nakskov, Denmark, but spent much of his childhood in northern Sweden, because his father obtained a job there as the manager of an estate. Their family returned to Denmark before 1876, when Jensen enrolled to the College of Advanced Technology. Although he studied mathematics among various subjects at college, and even published a research paper in mathematics, he learned advanced maths topics later by himself and never held any academic position. Instead, he was a successful engineer for the Copenhagen Telephone Company between 1881 and 1924, and became head of the technical department in 1890. All his mathematics research was carried out in his spare time. Jensen is mostly renowned for his famous inequality, Jensen's inequality. In 1915, Jensen also proved Jensen's formula in complex analysis.

Illustrations

Worked examples

Example 1 — a first encounter with Johan Jensen (mathematician)

Start with the simplest possible case. Write down what Johan Jensen (mathematician) 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 Johan Jensen (mathematician) 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 Johan Jensen (mathematician) 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 Johan Jensen (mathematician)

In research: Johan Jensen (mathematician) 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 Johan Jensen (mathematician) 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: Johan Jensen (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1859 births, 1925 deaths, 19th-century Danish engineers, so understanding it makes those chapters shorter.
In everyday life: Look for Johan Jensen (mathematician) 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 Johan Jensen (mathematician) in 20 minutes

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

Frequently asked questions

What is Johan Jensen (mathematician) in simple terms?

Why does Johan Jensen (mathematician) 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 Johan Jensen (mathematician)?

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 Johan Jensen (mathematician).