mathematics

Romanas Januškevičius

Romanas Januškevičius 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 Romanas Januškevičius rather than just read about it. In short: Romanas Januškevičius (sometimes transliterated from Russian as Romanas Yanushkevichius; born July 10, 1953) is a Lithuanian mathematician who worked in probability theory and characterization of probability distributions and its stability. He was a professor at the Lithuanian University of Educational Sciences, head of the Department of Mathematics, Informatics and Physics since 2001 until 2017.

Key takeaways

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Reference excerpt

Romanas Januškevičius (sometimes transliterated from Russian as Romanas Yanushkevichius; born July 10, 1953) is a Lithuanian mathematician who worked in probability theory and characterization of probability distributions and its stability. He was a professor at the Lithuanian University of Educational Sciences, head of the Department of Mathematics, Informatics and Physics since 2001 until 2017.

Early life Januškevičius was born in Vilnius on July 10, 1953. He graduated from one of Vilnius high schools in 1971 and entered Vilnius University, from which he graduated in 1976. In 1976–1978 Januškevičius trained in Steklov Institute of Mathematics in Moscow, where under the guidance of Professor Vladimir Zolotarev wrote and in 1978 defended his thesis "Investigation of stability in some problems of characterization of distributions" and received the Candidate of Sciences degree. The main result of this thesis was the work of the author, which considered the stability for decompositions of probability distributions into components.

Work and research interests Januškevičius received the Doctor of Science degree (habilitation) in 1993. His doctoral thesis "Stability for characterizations of distributions" was published as a monograph. Characterization theorems in probability theory and mathematical statistics are such theorems that establish a connection between the type of the distribution of random variables or random vectors and certain general properties of functions in them. For example, the assumption that two linear (or non-linear) statistics are identically distributed (or independent, or have a constancy regression and so on) can be used to characterize various populations. Verification of conditions of this or that characterization theorem in practice is possible only with some error, i.e., only to a certain degree of accuracy. Such a situation is observed, for instance, in the cases where a sample of finite size is considered. That is why there arises the following natural question. Suppose that the conditions of the characterization theorem are fulfilled not exactly but only approximately. May we assert that the conclusion of the theorem is also fulfilled approximately? Questions of this kind give rise to a following problem: determine the degree of realizability of the conclusions of mathematical statements in the case of approximate validity of conditions. In solving these problems, a special place is given to the convolution equation. Decisions of non-homogeneous convolution equations on the half and applications for building stability estimations in characterizations of probability distributions devoted one of the major works of the author. His investigation of stability of characterizations of probability distributions R. Januškevičius has completed in the book in 2014. Januškevičius was a professor at the Vilnius Pedagogical University since 1997 until 2017. The main emphasis of his pedagogical activity is training of teachers of mathematics and informatics. Januškevičius pays great attention to the field of spiritual enlightenment. What is man? What is the real purpose of short human life? What will happen after death? Is it all going to end after death? Or, on the contrary, everything just starts? Are there absolute laws of human existence? Where lies the boundary between right and wrong? Moreover, why is there so much injustice? For this problems is devoted the book of R. Januškevičius and O. Januškevičienė "Basics of ethics", which has stood 8 editions (1st edition – Vilnius, Open Society Fund-Lithuania, 8th edition – Pro-Press Publisher, Moscow, 2010). The book was translated into the Ukrainian language.

Awards Patriarch Alexy II during his visit to Vilnius on 25–27 July 1997 personally awarded Januškevičius with the Order of Holy Prince Daniel of Moscow of III degree for the diligent work for the blessing of Orthodoxy in Lithuania in the affair of revival of spirituality.

References

External links Between Mathematics and Theology. List of R. Januškevičius publications, available in eLABa (Lithuanian Academic e-library) and in Research Gate. About Romanas Januškevičius in Lithuanian book "Kas yra kas 2015". Personal blog of Romanas Januškevičius.

Illustrations

Worked examples

Example 1 — a first encounter with Romanas Januškevičius

Start with the simplest possible case. Write down what Romanas Januškevičius 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 Romanas Januškevičius 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 Romanas Januškevičius 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 Romanas Januškevičius

In research: Romanas Januškevičius 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 Romanas Januškevičius 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: Romanas Januškevičius is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1953 births, 20th-century Lithuanian mathematicians, 21st-century Lithuanian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Romanas Januškevičius 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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Frequently asked questions

What is Romanas Januškevičius in simple terms?

Why does Romanas Januškevičius 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 Romanas Januškevičius?

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 Romanas Januškevičius.