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Ileana Streinu

Ileana Streinu 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 Ileana Streinu rather than just read about it. In short: Ileana Streinu is a Romanian-American computer scientist and mathematician, the Charles N. Clark Professor of Computer Science and Mathematics at Smith College in Massachusetts.

Ileana Streinu — main illustration
Ileana Streinu — illustration

Key takeaways

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

Reference excerpt

Ileana Streinu is a Romanian-American computer scientist and mathematician, the Charles N. Clark Professor of Computer Science and Mathematics at Smith College in Massachusetts. She is known for her research in computational geometry, and in particular for her work on kinematics and structural rigidity.

Biography Streinu did her undergraduate studies at the University of Bucharest in Romania. She earned two doctorates in 1994, one in mathematics and computer science from the University of Bucharest under the supervision of Solomon Marcus and one in computer science from Rutgers University under the supervision of William L. Steiger. She joined the Smith computer science department in 1994, was given a joint appointment in mathematics in 2005, and became the Charles N. Clark Professor in 2009. She also holds an adjunct professorship in the computer science department at the University of Massachusetts Amherst. At Smith, Streinu is director of the Biomathematical Sciences Concentration and has been the co-PI on a million-dollar grant shared between four schools to support this activity.

Awards and honors In 2006, Streinu won the Grigore Moisil Award of the Romanian Academy for her work with Ciprian Borcea using complex algebraic geometry to show that every minimally rigid graph with fixed edge lengths has at most 4n different embeddings into the Euclidean plane, where n denotes the number of distinct vertices of the graph. In 2010, Streinu won the David P. Robbins Prize of the American Mathematical Society for her combinatorial solution to the carpenter's rule problem. In this problem, one is given an arbitrary simple polygon with flexible vertices and rigid edges, and must show that it can be manipulated into a convex shape without ever introducing any self-crossings. Streinu's solution augments the input to form a pointed pseudotriangulation, removes one convex hull edge from this graph, and shows that this edge removal provides a single degree of freedom allowing the polygon to be made more convex one step at a time. In 2012 she became a fellow of the American Mathematical Society.

Selected publications Borcea, Ciprian; Streinu, Ileana (2004), "The number of embeddings of minimally rigid graphs", Discrete and Computational Geometry, 31 (2): 287–303, arXiv:math/0207126, doi:10.1007/s00454-003-2902-0, MR 2060642, S2CID 47499620. Streinu, Ileana (2005), "Pseudo-triangulations, rigidity and motion planning", Discrete and Computational Geometry, 34 (4): 587–635, doi:10.1007/s00454-005-1184-0, MR 2173930.

References

External links Web site at Smith College

Illustrations

Ileana Streinu illustration

Worked examples

Example 1 — a first encounter with Ileana Streinu

Start with the simplest possible case. Write down what Ileana Streinu 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 Ileana Streinu 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 Ileana Streinu 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 Ileana Streinu

In research
Ileana Streinu 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 Ileana Streinu 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
Ileana Streinu is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century American mathematicians, 20th-century American women mathematicians, 20th-century Romanian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Ileana Streinu 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 Ileana Streinu in 20 minutes

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

Frequently asked questions

What is Ileana Streinu in simple terms?

Ileana Streinu is a Romanian-American computer scientist and mathematician, the Charles N. Clark Professor of Computer Science and Mathematics at Smith College in Massachusetts.

Why does Ileana Streinu 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 Ileana Streinu?

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 Ileana Streinu.

Tags

  • 20th-century American mathematicians
  • 20th-century American women mathematicians
  • 20th-century Romanian mathematicians
  • 21st-century American mathematicians
  • 21st-century American women mathematicians
  • 21st-century Romanian mathematicians
  • American computer scientists
  • American women computer scientists
  • Fellows of the American Mathematical Society
  • Living people
  • Researchers in geometric algorithms
  • Romanian computer scientists

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