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mathematics

Michael Hasofer

Michael Hasofer 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 Michael Hasofer rather than just read about it. In short: Abraham Michael Hasofer (1927–2010) was an Australian statistician. He was a professor and the Chair of Statistics within the Mathematics Department in the University of New South Wales from 1969 to 1991.

Michael Hasofer — main illustration
Michael Hasofer — illustration

Key takeaways

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

Reference excerpt

Abraham Michael Hasofer (1927–2010) was an Australian statistician. He was a professor and the Chair of Statistics within the Mathematics Department in the University of New South Wales from 1969 to 1991. He subsequently held a position at the La Trobe University in Melbourne. He authored a number of publications in the field of applied mathematics and civil engineering, including his formulation of the Hasofer-Lind Reliability Index.

Biography Abraham Hasofer was born in Alexandria, Egypt, on 2 October 1927 to an Ashkenazi Jewish family. In 1948, while in Egypt, Hasofer was interned in a Concentration camp and was later expelled from the country as part of the Jewish exodus from the Muslim world. Hasofer soon migrated to Israel after the state's independence but subsequently migrated to Australia in 1955. Hasofer joined the Hobart Hebrew Congregation and led services there. In the 1960s, Hasofer joined the Chabad Hasidic movement. Hasofer lived in Tasmania and had been visited by Rabbi C. Gutnick who assisted him with observing the Jewish dietary laws.

Education and career In 1948, Hasofer earned a bachelor's degree in Electrical Engineering from the University of Alexandria in Egypt. In 1960, he earned a Bachelor of Science from the University of Tasmania, and in 1964, Hasofer earned his PhD in Mathematical Statistics from the University of Tasmania which was the first PhD degree earned in the university's Department of Mathematics. At the time, Hasofer was a lecturer in the department. Hasofer went on to become Professor of Statistics at the University of New South Wales (UNSW). He was chair of statistics within the Mathematics Department for much of his career. Prior to Hasofer's position at UNSW, he was a resident Fellow of the Australian National University in Canberra from 1955 to 1956. Hasofer and his family remained in Canberra until 1969. Hasofer was a visiting professor at Massachusetts Institute of Technology (MIT) and Princeton University. Hasofer received the status of emeritus professor at UNSW. Hasofer died in 2010.

Activities Hasofer's work in mathematics included the formulation of the advanced statistical method known as the Hasofer-Lind Reliability Index which is recognized as an important step towards the development of contemporary methods to effectively and accurately estimate structural safety. The Hasofer-Lind Reliability Index is more often called the first-order reliability method (FORM) which Hasofer successfully applied as a method to resolving structural problems. Alternatively, it is referred to as the first order second-moment reliability index. Hasofer's research has been used in the field of fMRI research. Hasofer also developed a statistical goodness-of-fit procedure in 1992.

In the Jewish community While living in Canberra, Michael Hasofer and his wife Atara Hasofer were faced with the challenge of the lack of kosher meat in the Australian capital, a challenge that had discouraged other Orthodox families from residing in the city. Hasofer attended a course on the Jewish ritual laws of the slaughter of poultry (shechitat ofot) and made his services available to the community. However, the Jewish community in Canberra took little advantage of the offer. While in Canberra, Hasofer served the Jewish community as a synagogue officiant. He and his wife Atara also served as members of the Education Committee, with Atara establishing a local chapter of the N'shei Chabad, the Habad-Lubavitch Women's Association. Within the wider Australian Jewish community, Hasofer advocated for traditional Jewish schooling. In the Orthodox Jewish community, Hasofer's activities include his serving as the founding president of the Australian chapter of the Association of Orthodox Jewish Scientists (AOJS). Hasofer supported Dr Lee Spetner's stance on Neo-Darwinism which questioned the plausibility of the evolutionary theory of the appearance of beneficial mutations. Spetner's calculations of the probability of beneficial mutations led him to conclude that is unreasonable to assume that beneficial mutations can be produced even in a generous allocation of geological time. In the 1990s, Hasofer rejected the validity of Bible codes which he viewed as statistically unfounded. While teaching at the Australian National University in Canberra, Hasofer researched notions of probability and random mechanisms discussed in Talmudic literature. According to Hasofer, the attitude of Ancient Israel toward chance mechanism was diametrically opposed to that of neighboring nations. Dice had been used for gambling as well as for divination in Greek and Roman temples, while Jews were forbidden and sanctioned for use of dice. Lots were used by Jews to settle disputes, as a fair method to allocate duties among contenders, among other uses. This subject was further researched by Nahum Rabinovitch who explored Talmudic probabilistic notions and chance mechanisms.

Publications

Books Hasofer, Abraham Michael, Vaughan Rodney Beck, and I. D. Bennetts. Risk Analysis in Building Fire Safety Engineering. Routledge, 2006.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Michael Hasofer

Start with the simplest possible case. Write down what Michael Hasofer 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 Michael Hasofer 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 Michael Hasofer 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 Michael Hasofer

In research
Michael Hasofer 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 Michael Hasofer 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
Michael Hasofer is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1927 births, 2010 deaths, 20th-century Australian Jews, so understanding it makes those chapters shorter.
In everyday life
Look for Michael Hasofer 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 Michael Hasofer in 20 minutes

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

Frequently asked questions

What is Michael Hasofer in simple terms?

Abraham Michael Hasofer (1927–2010) was an Australian statistician. He was a professor and the Chair of Statistics within the Mathematics Department in the University of New South Wales from 1969 to 1991.

Why does Michael Hasofer 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 Michael Hasofer?

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 Michael Hasofer.

Tags

  • 1927 births
  • 2010 deaths
  • 20th-century Australian Jews
  • 20th-century Australian statisticians
  • 20th-century Egyptian Jews
  • 20th-century Egyptian mathematicians
  • 21st-century Australian Jews
  • 21st-century Australian mathematicians
  • 21st-century statisticians
  • Academic staff of the University of New South Wales
  • Academic staff of the University of Tasmania
  • Alexandria University alumni

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