mathematics

Zahid Khalilov

Zahid Khalilov 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 Zahid Khalilov rather than just read about it. In short: Zahid Ismayil oghlu Khalilov (Azerbaijani: Zahid İsmayıl oğlu Xəlilov, 14 January 1911, Sarachly – 4 February 1974, Baku) was an Azerbaijani mathematician (professor since 1946) and engineer. Being the founder of Azerbaijani functional analysis school, he was elected president of the Azerbaijan Mathematical Society.

Key takeaways

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

Reference excerpt

Zahid Ismayil oghlu Khalilov (Azerbaijani: Zahid İsmayıl oğlu Xəlilov, 14 January 1911, Sarachly – 4 February 1974, Baku) was an Azerbaijani mathematician (professor since 1946) and engineer. Being the founder of Azerbaijani functional analysis school, he was elected president of the Azerbaijan Mathematical Society. Khalilov solved the boundary value problem for polyharmonic equations, proposed abstract generalizations of singular integral operators and made some other contributions. In 1955, Khalilov became a member of Azerbaijan National Academy of Sciences. In 1957–1959 he was its vice chairman and chairman in 1961–1967. A street in Baku is named after him.

Researches Khalilov was the first to consider the abstract equation with an operator satisfying the condition Q2 = I, within the framework of normed rings. The associated theory was a direct treatment of the singular integral equations theory with continuous coefficients within the subject of an abstract normed ring. Khalilov had also translated the Noether's theorem to the case of abstract singular equations in a normed ring R ux + vS(x) + T(x) = y and gave a general theory of regularizers. Khalilov also investigated the problems of subterranean hydromechanics applied in development of oil and gas deposits.

References

External links Profile at the Baku State University site

Worked examples

Example 1 — a first encounter with Zahid Khalilov

Start with the simplest possible case. Write down what Zahid Khalilov 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 Zahid Khalilov 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 Zahid Khalilov 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 Zahid Khalilov

In research: Zahid Khalilov 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 Zahid Khalilov 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: Zahid Khalilov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1911 births, 1974 deaths, 20th-century Azerbaijani mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Zahid Khalilov 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 Zahid Khalilov in 20 minutes

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

Frequently asked questions

What is Zahid Khalilov in simple terms?

Why does Zahid Khalilov 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 Zahid Khalilov?

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 Zahid Khalilov.