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Jalal Allakhverdiyev

Jalal Allakhverdiyev 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 Jalal Allakhverdiyev rather than just read about it. In short: Jalal Eyvaz oglu Allakhverdiyev (Azerbaijani: Cəlal Eyvaz oğlu Allahverdiyev; September 17, 1929 – January 19, 2017) was an Azerbaijani mathematician and a member of the Azerbaijan National Academy of Sciences, which was called the Academy of Sciences of the Azerbaijan Soviet Socialist Republic in 1972. He is known for contributions to functional analysis, such as an important theorem known as Allakhverdiyev's theor…

Jalal Allakhverdiyev — main illustration
Jalal Allakhverdiyev — illustration

Key takeaways

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

Reference excerpt

Jalal Eyvaz oglu Allakhverdiyev (Azerbaijani: Cəlal Eyvaz oğlu Allahverdiyev; September 17, 1929 – January 19, 2017) was an Azerbaijani mathematician and a member of the Azerbaijan National Academy of Sciences, which was called the Academy of Sciences of the Azerbaijan Soviet Socialist Republic in 1972. He is known for contributions to functional analysis, such as an important theorem known as Allakhverdiyev's theorem.

Biography Jalal Allakhverdiyev studied in Baku in 1945. He graduated from secondary school as the top student in his class, but due to lack of a Shusha certificate, he could not read the price list for years. He attended school in the city of Shusha in 1946 and was given an evaluation of "excellent". A gold medal was presented to him upon graduation. However, the evaluation given to him by the Ministry of Education Mathematics department was subsequently changed to "good", and he was given the silver medal rather than gold. In 1951, he graduated from the Azerbaijan State University and entered the postgraduate program of Moscow State University. In 1968, he defended his Doctorate of Science thesis at the Institute of Applied Mathematics of the USSR Academy of Sciences. The Higher Attestation Commission of the USSR granted him the academic title of professor in 1969. In 1972 Prof. Allakhverdiyev was elected Corresponding Member of the Azerbaijan National Academy of Sciences (ANAS) and Full Member of ANAS in 2001. In 1969–1970, he worked at the Institute of Cybernetics of AS of the Azerbaijan SSR as deputy director for science, and in 1970–1987 as director. In 1988–1994, Prof. Allakhverdiyev worked as prorector for science at the Baku State University, heading the "Mathematical Modeling and Operation Study" Department of the faculty of Applied Mathematics and Cybernetics of BSU from 1994 onwards. In 1975, he gave lectures in the USA, and in 1976 in a number of universities in Great Britain. He supervised the team of Azerbaijani schoolchildren at the International Mathematical Olympiads in India in 1996 and in Argentina in 1997. In 1998–2000, he taught at the Istanbul University. On February 12, 1982, he was named Laureate of the State Prize of the Azerbaijan SSR. In 1970, he became the director of the Institute of Cybernetics of the Academy of Sciences of Azerbaijan SSR. Jalal Allakhverdiyev was a member of the editorial board of the Azerbaijan Soviet Encyclopedia. Allakhverdiyev died on 19 January 2017, aged 87.

Achievements He investigated the completeness of systems of own elements of one class of not self-interfaced operators, polynomially—and rationally—depending on the parameter. His theorems of completeness and basis were later proven.

Works Allakhverdiyev J. E. About speed of approach of quite continuous operators конечномерными operators. Scientific notes АSU, No.2, 1957 Allakhverdiyev J. E. About completeness of system of own and attached elements of one class of not self-interfaced operators. Scientific notes АSU, No.7, 1957 Allakhverdiyev J. E. About completeness of system of own and attached elements of one class of not self-interfaced operators. Reports of Academy Sciences USSR, Vol.160, No.3, 1965 г Allakhverdiyev J. E. About completeness of system of own and attached elements of one class of not self-interfaced operators depending on parameter. Reports of Academy Sciences USSR, Vol.160, No.6, 1965 Allakhverdiyev J. E. About repeated full systems and not self-interfaced operators depending on parameter. Reports of Academy Sciences USSR, Vol.166, No.1, с.3. Allakhverdiyev J. E. About nesamosoprjazhen th operators rationally depending on spectral parameter. Reports of Academy Sciences USSR, Vol.186, No.4, 1969 г Allakhverdiyev J. E.Teorema of completeness of system of own and attached elements of rational operational bunches in Banach space. The functional analysis and its applications. Vol.8, release.4, 1974 Allakhverdiyev J. E. About an optimal control problem in Hilbert space. Journal Differential equation. No. 12,1977. Allakhverdiyev J. E. About convergence of multiple decomposition on own elements of some two-parametrical system of operators. Reports ANAS, Vol.35, No.6, is given 1979 Allakhverdiyev J. E. About completeness of system of own elements of multiple parameter system of operators. Reports ANAS, Vol.38, No.10, is given 1982

References

Illustrations

Jalal Allakhverdiyev illustration

Worked examples

Example 1 — a first encounter with Jalal Allakhverdiyev

Start with the simplest possible case. Write down what Jalal Allakhverdiyev 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 Jalal Allakhverdiyev 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 Jalal Allakhverdiyev 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 Jalal Allakhverdiyev

In research
Jalal Allakhverdiyev 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 Jalal Allakhverdiyev 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
Jalal Allakhverdiyev is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1929 births, 2017 deaths, 20th-century Azerbaijani mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Jalal Allakhverdiyev 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 Jalal Allakhverdiyev in 20 minutes

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

Frequently asked questions

What is Jalal Allakhverdiyev in simple terms?

Jalal Eyvaz oglu Allakhverdiyev (Azerbaijani: Cəlal Eyvaz oğlu Allahverdiyev; September 17, 1929 – January 19, 2017) was an Azerbaijani mathematician and a member of the Azerbaijan National Academy of Sciences, which was called the Academy of Sciences of the Azerbaijan Soviet Socialist Republic in…

Why does Jalal Allakhverdiyev 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 Jalal Allakhverdiyev?

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 Jalal Allakhverdiyev.

Tags

  • 1929 births
  • 2017 deaths
  • 20th-century Azerbaijani mathematicians
  • Scientists from Shusha

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