science

Riemann (crater)

Riemann (crater) is a science 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 Riemann (crater) rather than just read about it. In short: Riemann (pronounced REE mahn) is a lunar impact crater that is located near the northeastern limb of the Moon, and can just be observed edge-on when libration effects bring it into sight. It lies to the east-northeast of the large walled plain called Gauss.

Key takeaways

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

Reference excerpt

Riemann (pronounced REE mahn) is a lunar impact crater that is located near the northeastern limb of the Moon, and can just be observed edge-on when libration effects bring it into sight. It lies to the east-northeast of the large walled plain called Gauss. To the southeast, beyond sight on the far side, is the crater Vestine. This is a heavily battered and eroded formation that is only a remnant of its former self. The outer rim has been worn away in many places, and now forms an irregular series of ridges in a rough circle. The rim is overlain along the south-southwestern rim by Beals, and several smaller craters lie along the western and southeast rim. The most intact portion of the outer wall is along the eastern edge. The interior floor is a mixture of level terrain mixed with rough ground where impacts have stirred up the surface. It is generally less rough in the eastern half, especially near the center. A small, bowl-shaped crater lies on the floor in the southeastern part of the interior, and the faint remnants of several other lesser craters can be observed in the surface. This crater is named after German mathematician G. F. Bernhard Riemann (1826–1866).

Satellite craters By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Riemann.

The following crater has been renamed by the IAU.

Riemann A — See Beals (crater).

References

Sources

Illustrations

Worked examples

Example 1 — a first encounter with Riemann (crater)

Start with the simplest possible case. Write down what Riemann (crater) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, 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 Riemann (crater) 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 Riemann (crater) 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 Riemann (crater)

In research: Riemann (crater) appears in science 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 Riemann (crater) 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: Riemann (crater) is common in secondary-school and first-year university syllabi. It links to neighbouring topics Bernhard Riemann, Impact craters on the Moon, LQ06 quadrangle, so understanding it makes those chapters shorter.
In everyday life: Look for Riemann (crater) 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 Riemann (crater) in 20 minutes

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

Frequently asked questions

What is Riemann (crater) in simple terms?

Why does Riemann (crater) matter?

Because it connects several science 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 Riemann (crater)?

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 Riemann (crater).