ArticleslgStudy

mathematics

Lawrence Sirovich

Lawrence Sirovich 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 Lawrence Sirovich rather than just read about it. In short: Lawrence Sirovich is mathematical scientist whose research includes, among other topics, applied mathematics, neuroscience and physics. He is recognized as the pioneer behind modern face recognition, and is known for eigenfaces, the method of snapshots, low dimensional dynamical systems, analysis of the US Supreme Court, neuronal population dynamics, and the faithful copy neuron.

Lawrence Sirovich — main illustration
Lawrence Sirovich — illustration

Key takeaways

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

Reference excerpt

Lawrence Sirovich is mathematical scientist whose research includes, among other topics, applied mathematics, neuroscience and physics. He is recognized as the pioneer behind modern face recognition, and is known for eigenfaces, the method of snapshots, low dimensional dynamical systems, analysis of the US Supreme Court, neuronal population dynamics, and the faithful copy neuron.

Early life and education Sirovich was born to Jewish immigrants from Poland and raised in Brownsville, a working-class immigrant neighborhood of Brooklyn, New York. He gained entrance to the Brooklyn Technical H.S., an experience which first opened his eyes to the possibilities of the world. There he was captain of the math team and years later, in 2018, inducted into the BTHS Hall of Fame. Sirovich attended Johns Hopkins University as an undergraduate math major, and as a graduate student in aeronautical engineering (where applied mathematics was practiced). In 1958, jointly with Johns Hopkins University, he became a research assistant at the Courant Institute at NYU. It was there that he wrote his PhD dissertation "On the Kinetic Theory of Steady Gas Flows" in 1960. At the Courant Institute, K.O. Friedrichs, a mathematician of great insight and taste, was his most influential teacher. For Sirovich, taking a course with Friedrichs on asymptotics was a life-changing experience. Another early mentor at the Courant Institute was Fritz John, a mathematician of the highest character with whom Sirovich later started the eminent Applied Mathematical Sciences series, of Springer-Verlag Publishing.

Research Sirovich's early research was in kinetic theory, its connection with fluid mechanics, and such areas of fluid mechanics as supersonic flow and turbulence. A turning point in Sirovich's research came with his reading of Jim Watson's The Double Helix, which caused Sirovich to realize that he was not engaged in the heroic research of his time. This prompted participation in a Cold Spring Harbor summer course on biology, and eventually led to his close association with H. Keffer Hartline's Laboratory of Biophysics at the Rockefeller University, and a long collaboration with Bruce W. Knight, the present head of the laboratory. As a maturing scientist, Sirovich's research interests took on an element of serendipity ("chance confers an advantage on the prepared mind", Louis Pasteur). For example, a chance remark on the failure of the standard description of the horseshoe crab's lateral eye neural network at its boundaries led to a Wiener-Hopf solution to the problem, with complete experimental agreement. An article by Linda Greenhouse in the New York Times led to "A pattern analysis of the second Rehnquist U.S. Supreme Court." An observation that human faces, are always different, but are always recognizable as a face; and likewise that images of turbulence had the same property of being different, and being recognizable as turbulence led to a successful model of face recognition, and also served as an analysis model for turbulence. The former led to Sirovich's establishing the subject of face recognition. Allied to this was the notion of low dimensional dynamical descriptions of turbulence in standard geometrical settings. In a series of three papers on the subject, Sirovich established the field of low dimensional dynamical models.

Personal life Sirovich met Carole Hochman, a number theorist, at the Courant Institute. Their first date took place on September 4, 1960, and they married October 16th, 1960. Carole received her PhD from the Courant Institute and later became Chair of the Department of Math and Science at the Pratt Institute, which she retired from in 2017. Their daughter Brenda Sirovich was born in 1963, and received a B.A. in math and biology from Harvard. She is the co-director of the VA Outcomes Group at Dartmouth's Geisel School of Medicine. Their son Matthew was born in 1966. Matt studied math and economics at Brown University, and is currently a board member there. In 2018 Mathew Sirovich honored his parents by endowing the Carole & Lawrence Sirovich Chair of Public Health at Brown University.

References

Illustrations

Lawrence Sirovich illustration

Worked examples

Example 1 — a first encounter with Lawrence Sirovich

Start with the simplest possible case. Write down what Lawrence Sirovich 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 Lawrence Sirovich 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 Lawrence Sirovich 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 Lawrence Sirovich

In research
Lawrence Sirovich 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 Lawrence Sirovich 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
Lawrence Sirovich is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1933 births, 20th-century American Jews, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Lawrence Sirovich 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.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Lawrence Sirovich” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Lawrence Sirovich in 20 minutes

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

Frequently asked questions

What is Lawrence Sirovich in simple terms?

Lawrence Sirovich is mathematical scientist whose research includes, among other topics, applied mathematics, neuroscience and physics. He is recognized as the pioneer behind modern face recognition, and is known for eigenfaces, the method of snapshots, low dimensional dynamical systems, analysis o…

Why does Lawrence Sirovich 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 Lawrence Sirovich?

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 Lawrence Sirovich.

Tags

  • 1933 births
  • 20th-century American Jews
  • 20th-century American mathematicians
  • 21st-century American Jews
  • 21st-century American mathematicians
  • Academics from Brooklyn
  • Brooklyn Technical High School alumni
  • Facial recognition
  • Fellows of the American Physical Society
  • Johns Hopkins University alumni
  • Living people

Keep exploring