astronomy

Ivan Rival

Ivan Rival is a astronomy 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 Ivan Rival rather than just read about it. In short: Ivan Rival (March 15, 1947 – January 22, 2002 in Ottawa, Ontario, Canada) was a Canadian mathematician and computer scientist, a professor of mathematics at the University of Calgary and of computer science at the University of Ottawa. Rival's Ph.D. thesis concerned lattice theory.

Key takeaways

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

Reference excerpt

Ivan Rival (March 15, 1947 – January 22, 2002 in Ottawa, Ontario, Canada) was a Canadian mathematician and computer scientist, a professor of mathematics at the University of Calgary and of computer science at the University of Ottawa. Rival's Ph.D. thesis concerned lattice theory. After moving to Calgary he began to work more generally with partially ordered sets, and to study fixed point theorems for partially ordered structures. He was a frequent organizer of conferences in order theory, and in 1984 he founded the journal Order. As a computer scientist at Ottawa, he shifted research topics, applying his expertise in order theory to the study of data structures, computational geometry, and graph drawing. Rival grew up in Hamilton, Ontario. He earned a bachelor's degree at McMaster University in 1969, and received his Ph.D. from the University of Manitoba in 1974 under the supervision of George Gratzer. After postdoctoral stints visiting Robert Dilworth at Caltech and Rudolf Wille at the Technische Hochschule Darmstadt, he took a faculty position at Calgary in 1975, and was promoted to full professor in 1981. In 1986, he moved to the University of Ottawa, where he became chair of the computer science department. Rival's doctoral students included Dwight Duffus, the Goodrich C. White Professor of Mathematics & Computer Science at Emory University. Duffus took over the editorship of Order after the retirement (as editor) of William T. Trotter, who took over the editorship from Rival.

References

External links The Ivan Rival Memorial Website

Worked examples

Example 1 — a first encounter with Ivan Rival

Start with the simplest possible case. Write down what Ivan Rival claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Ivan Rival 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 Ivan Rival 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 Ivan Rival

In research: Ivan Rival appears in astronomy 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 Ivan Rival 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: Ivan Rival is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1947 births, 2002 deaths, Academic staff of Technische Universität Darmstadt, so understanding it makes those chapters shorter.
In everyday life: Look for Ivan Rival 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 Ivan Rival in 20 minutes

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

Frequently asked questions

What is Ivan Rival in simple terms?

Why does Ivan Rival matter?

Because it connects several astronomy 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 Ivan Rival?

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 Ivan Rival.