mathematics

Norman H. Anning

Norman H. Anning 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 Norman H. Anning rather than just read about it. In short: Norman Herbert Anning ((1883-08-28)August 28, 1883 – (1963-05-01)May 1, 1963) was an American mathematician and academic. He is known for a proof of the characterization of infinite sets of points in the plane with mutually integer distances, known as the Erdős–Anning theorem.

Key takeaways

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

Reference excerpt

Norman Herbert Anning ((1883-08-28)August 28, 1883 – (1963-05-01)May 1, 1963) was an American mathematician and academic. He is known for a proof of the characterization of infinite sets of points in the plane with mutually integer distances, known as the Erdős–Anning theorem.

Life Anning was originally from Holland Township (currently Chatsworth), Grey County, Ontario, Canada. In 1902, he won a scholarship to Queen's University, and received the Arts bachelor's degree in 1905, and the Arts master's degree in 1906 from the same institution.

Academic career Anning served in the faculty of the University of Michigan since 1920, until he retired on 1953. From 1909 to 1910, he held a teaching position in the department of Mathematics and Science at Chilliwack High School, British Columbia. Anning was appointed as chairperson at the University of Michigan from 1951 to 1952, and treasurer secretary from 1925 to 1926 at the same institution.

With Paul Erdős, he published a paper in 1945 containing what is now known as the Erdős–Anning theorem. The theorem states that an infinite number of points in the plane can have mutual integer distances only if all the points lie on a straight line. Anning retired on August 28, 1953. He died in Sunnydale, California on May 1, 1963.

Publications Anning, N.H.; Erdős, P. (1945). "Integral distances". Bull. Amer. Math. Soc. 51 (8): 598–600. doi:10.1090/s0002-9904-1945-08407-9. Erdős, P.; Ruderman, HD; Willey, M.; Anning, N. (1935). "Problems for Solution: 3739-3743". The American Mathematical Monthly. 42 (6). JSTOR: 396–397. doi:10.2307/2301373. JSTOR 2301373. Norman H. Anning (1923). "Socrates Teaches Mathematics". School Science and Mathematics. 23 (6). Wiley Online Library: 581–584. doi:10.1111/j.1949-8594.1923.tb07353.x. Norman H. Anning (1917). "Another Method Of Deriving Sin 2α, sin 3α, And So On". School Science and Mathematics. 17 (1): 43–44. doi:10.1111/j.1949-8594.1917.tb01843.x. Norman H. Anning (1916). "Note On Triangles Whose Sides Are Whole Numbers". School Science and Mathematics. 16 (1): 82–83. doi:10.1111/j.1949-8594.1916.tb01570.x. Norman H. Anning (1915). "To Find Approximate Square Roots". School Science and Mathematics. 15 (3): 245–246. doi:10.1111/j.1949-8594.1915.tb10261.x. Norman H. Anning (1929). "What Are The Chances That; A Few Questions". School Science and Mathematics. 29 (5): 460. doi:10.1111/j.1949-8594.1929.tb02431.x. Norman H. Anning (1925). "A Device For Teachers Of Trigonometry". School Science and Mathematics. 25 (7): 739–740. doi:10.1111/j.1949-8594.1925.tb05056.x.

References

Worked examples

Example 1 — a first encounter with Norman H. Anning

Start with the simplest possible case. Write down what Norman H. Anning 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 Norman H. Anning 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 Norman H. Anning 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 Norman H. Anning

In research: Norman H. Anning 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 Norman H. Anning 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: Norman H. Anning is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1883 births, 1963 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Norman H. Anning 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 Norman H. Anning in 20 minutes

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

Frequently asked questions

What is Norman H. Anning in simple terms?

Why does Norman H. Anning 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 Norman H. Anning?

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 Norman H. Anning.