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mathematics

Roberto Bachi

Roberto Bachi 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 Roberto Bachi rather than just read about it. In short: Roberto Bachi (Hebrew: רוברטו בקי; 16 January 1909 – 26 November 1995) was an Italian-Israeli statistician and demographer, and founder of the Israel Central Bureau of Statistics. His research focused on the graphical presentation of statistics and the renewal of Jewish demographic studies in the diaspora.

Roberto Bachi — main illustration
Roberto Bachi — illustration

Key takeaways

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

Reference excerpt

Roberto Bachi (Hebrew: רוברטו בקי; 16 January 1909 – 26 November 1995) was an Italian-Israeli statistician and demographer, and founder of the Israel Central Bureau of Statistics. His research focused on the graphical presentation of statistics and the renewal of Jewish demographic studies in the diaspora.

Biography Roberto Bachi was born to an Italian Jewish family in Rome, the son of Clelia Lampronti and economist Riccardo Bachi. He studied law and statistics at the University of Rome, receiving a Doctor of Laws degree in 1931. He taught statistics at the University of Sassari from 1934 to 1936, and at the University of Genoa from 1936, becoming full professor in 1937. He emigrated to Palestine following the introduction of the Italian racial laws in 1938, where he became an active Mapainik. Bachi worked as a statistician in the Hadassah Medical Organization (where he founded a Medical Central Bureau of Statistics), and during 1945–47 in the Department of Statistics of the Mandatory Government. He began teaching statistics at the Hebrew University of Jerusalem in the early 1940s. He studied the issue of sub-replacement fertility the Yishuv and corresponded extensively with major Zionist leaders of the time, conveying comparative data on the Jewish and Arab populations to David Ben-Gurion and others. After World War II, the Italian Foreign Ministry invited Bachi to resume his post in Genoa, which Bachi declined. By 1945, Bachi had become associate professor of statistics at the Hebrew University, and was promoted to full professor in 1947. He was also appointed Statistician General of Israel with the foundation of the state in 1948, and founded Israel's Central Bureau of Statistics in 1949, which he directed until 1971. At the same time Bachi was among the founders of the Faculty of Social Sciences of the Hebrew University and served as its first dean from 1953 to 1956. He served as prorector of the Hebrew University in 1959–60. After his retirement in 1977, Bachi concentrated primarily on geostatistics and graphical representation of statistical data. He was awarded the Israel Prize in 1982. Bachi died on November 26, 1995.

Selected publications La mobilità della popolazione all'interno delle grandi città europee (Rome, 1933) Evoluzione demografica dell'ebraismo italiano (Rome, 1939) Graphical Rational Patterns (Jerusalem, 1968) Population Trends of World Jewry (Jerusalem, 1976) The Population of Israel (Jerusalem, 1977) New Methods of Geostatistical Analysis and Graphical Presentation (New York, 1999)

References

Illustrations

Roberto Bachi illustration

Worked examples

Example 1 — a first encounter with Roberto Bachi

Start with the simplest possible case. Write down what Roberto Bachi 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 Roberto Bachi 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 Roberto Bachi 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 Roberto Bachi

In research
Roberto Bachi 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 Roberto Bachi 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
Roberto Bachi is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1909 births, 1995 deaths, 20th-century Italian Jews, so understanding it makes those chapters shorter.
In everyday life
Look for Roberto Bachi 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 Roberto Bachi in 20 minutes

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

Frequently asked questions

What is Roberto Bachi in simple terms?

Roberto Bachi (Hebrew: רוברטו בקי; 16 January 1909 – 26 November 1995) was an Italian-Israeli statistician and demographer, and founder of the Israel Central Bureau of Statistics. His research focused on the graphical presentation of statistics and the renewal of Jewish demographic studies in the d…

Why does Roberto Bachi 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 Roberto Bachi?

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 Roberto Bachi.

Tags

  • 1909 births
  • 1995 deaths
  • 20th-century Italian Jews
  • 20th-century Italian statisticians
  • Academic staff of the Hebrew University of Jerusalem
  • Academic staff of the University of Genoa
  • Academic staff of the University of Sassari
  • Burials at Har HaMenuchot
  • Elected Members of the International Statistical Institute
  • Fellows of the American Statistical Association
  • Israel Central Bureau of Statistics
  • Israel Prize in demographics recipients

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