Mkhitar Djrbashian

Key takeaways

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

Reference excerpt

Mkhitar Djrbashian (also M. M. Dzhrbashjan, M. M. Jerbashian; Russian: Мхитар Мкртичевич Джрбашян; Armenian: Մխիթար Մկրտչի Ջրբաշյան[ 11 September 1918 – 6 May 1994) was a notable Armenian mathematician, who made significant contributions to the constructive theory of functions, harmonic analysis, theory of analytic functions and a fundamental contribution to the classical theory of univalent analytic functions. He was born in Yerevan in a family of refugees from the town Van of Western Armenia escaping from the Armenian genocide of 1915 in Turkey. Mkhitar Djrbashian created some well-known mathematical theories (see, e.g.) and did everything possible for the development of Armenian Mathematical School to the high international standards in many branches of mathematics.

Family Djrbashian was born to an old Van family, established before the fourteenth century, long before the rise of the Ottoman Empire, by a successful merchant who returned to his homeland from Iran and bought a piece of land in the Aygestan (Armenian: Այգեստան, i.e. gardens) district of Van. The community water source was in his land, and his family got the obligation to make a fair distribution of the scarce water among the channels to Aygestan gardens for many centuries, according to quotas established by the community. This was the origin of the family name Jerbashkhian (Armenian: Ջրբաշխյան, i.e. water distributor). Mkhitar Djrbashian's father Mkrtich was one of the seven founders of the Van Guild of Merchants, which anticipated the possibility of Turkish military actions against the civilian population of their town and started collecting weapons for self-defense. In June 1915, he participated as a soldier in people's volunteer corps against the Turkish regular army sent to massacre all Armenian inhabitants and surrounding villages. Thanks to the offensive of the Russian Army or, more exactly, its Armenian volunteer unit, the inhabitants of Van and some villagers of the Vaspurakan Province were saved and then migrated with the Russian Army to the Erivan Governorate of Russian Empire. In the first years of the Soviet regime, Mkrtich Jerbashkhian continued importing European goods and selling them in the shops of his commercial company in Yerevan, Tiflis, and Baku. For this reason, he was deprived of voting rights in the Soviet Union and his elder son Mkhitar was excluded from the last year of school. Mkrtich Jerbashkhian kept secret his fluency in French and German languages and his political views to avoid NKVD repression. Other branches of the Jerbashkhian family also were forced to leave their fatherland. Some of them migrated to Yerevan and Tiflis, others appeared as refugees in Marseille. Mkhitar Djrbashian had two sisters: Sirvard (1904–1990) and Gohar (1921–2000), and a brother Eduard Jerbashkhian (1923–1999), a literary critic, full member of the Armenian National Academy of Sciences (1982) and the director of its Institute of Literature from 1977 to 1999. The family name Jerbashkhian later was simplified to Jerbashian, and it appears as Dzhrbashjan or Djrbashian in many mathematical publications in accordance with the Russian spelling.

Biography Mkhitar Djrbashian was born in Yerevan on September 11, 1918. Being deprived of continuing his secondary education in Yerevan, he accomplished his school education in Tiflis in 1936, thanks to the assistance of his uncle's family. Back in Yerevan after Stalin's declaration that "children are not responsible for their parents", Mkhitar Djrbashian could enroll in Yerevan State University, where his scientific activities were encouraged by Prof. Artashes Shahinian, a talented teacher who directed his pupils mainly to Approximation theory. Mkhitar Djrbashian was greatly influenced by the results of Rolf Nevanlinna in complex analysis, which he studied attending lectures delivered by Mstislav Keldysh at Yerevan State University in 1944. This directed his scientific research to the field of complex analysis. Under the supervision of Prof. Artashes Shahinian, Mkhitar Djrbashian was the first to defend a Candidate of Sciences Thesis in mathematics at Yerevan State University in 1945, with some new, original results on weighted Nevanlinna classes of meromorphic functions (see Section 216 in ). In 1949 Mkhitar Djrbashian defended his Doctor of Science Thesis in Moscow State University with excellent references from Prof. Mstislav Keldysh, Prof. Alexander Gelfond and Prof. Alexei Markushevich ru:Маркушевич, Алексей Иванович. Being the leading figure in the mathematics of Armenia, a Full Member of Armenian Academy of Sciences from 1956, Mkhitar Djrbashian did everything possible for the development of Armenian Mathematical School to the high international standards in many branches of mathematics. He was the founder and the director of Institute of Mathematics of National Academy of Sciences of Armenia (1971–1989), then the honorary director of the same institute up to his death on May 6, 1994, of a heart attack. He was the founder of Izvestiya Natsionalnoi Akademii Nauk Armenii, Matematika (English translation: Journal of Contemporary Mathematical Analysis, Armenian Academy of Sciences, Allerton Press Inc.) [1] Archived 2018-03-23 at the Wayback Machine and its editor in chief (1971–1994), the Dean of the Physical-Mathematical and then Mechanical-Mathematical Department of Yerevan State University (1957–1960), and the head of the Chair of Function Theory (1978–1986).

References

External links Mkhitar Djrbashian at the Mathematics Genealogy Project Mkhitar Djrbashian at MathSciNet Mkhitar Djrbashian at National Academy of Sciences of Armenia Mkhitar Djrbashian's 90th anniversary

Worked examples

Example 1 — a first encounter with Mkhitar Djrbashian

Start with the simplest possible case. Write down what Mkhitar Djrbashian 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 Mkhitar Djrbashian 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 Mkhitar Djrbashian 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 Mkhitar Djrbashian

In research: Mkhitar Djrbashian 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 Mkhitar Djrbashian 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: Mkhitar Djrbashian is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1918 births, 1994 deaths, 20th-century Armenian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Mkhitar Djrbashian 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.

How to study Mkhitar Djrbashian in 20 minutes

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

Frequently asked questions

What is Mkhitar Djrbashian in simple terms?

Mkhitar Djrbashian (also M. M.

Why does Mkhitar Djrbashian 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 Mkhitar Djrbashian?

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 Mkhitar Djrbashian.