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astronomy

Josip Pečarić

Josip Pečarić is a astronomy 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 Josip Pečarić rather than just read about it. In short: Josip Pečarić (born 2 September 1948) is a Croatian mathematician and writer. He is a professor of mathematics in the Faculty of Textile Technology at the University of Zagreb, Croatia, and is a full member of the Croatian Academy of Sciences and Arts.

Josip Pečarić — main illustration
Josip Pečarić — illustration

Key takeaways

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

Reference excerpt

Josip Pečarić (born 2 September 1948) is a Croatian mathematician and writer. He is a professor of mathematics in the Faculty of Textile Technology at the University of Zagreb, Croatia, and is a full member of the Croatian Academy of Sciences and Arts. He has written and co-authored over 1,200 mathematical publications. He has also published a number of works on history and politics that have been described as comprising historical negationism or Holocaust denial.

Education Pečarić was born in Kotor, Montenegro (at the time part of Yugoslavia) on 2 September 1948, where he remained to attend elementary and high school. He studied at the University of Belgrade's Faculty of Electrical Engineering for his undergraduate and master's degrees, which he completed respectively in 1972 and 1975. The supervisor of his master's degree, mathematics professor, Dobrilo Tošić, inspired him to switch fields to mathematics. Pečarić remained at the University of Belgrade, working on his PhD in mathematics from 1975 to 1982. He received it under the supervision of Petar Vasić. His dissertation was on Jensen's and related inequalities. He began working at the University of Zagreb in 1987.

Mathematics career Pečarić is known for his work in the theory of inequalities. He has founded several journals, all published by Element in Zagreb: he is currently Editor-in-Chief at Mathematical Inequalities and Applications and at the Journal of Mathematical Inequalities, and also founded Operators and Matrices. Pečarić has written and co-authored over 1,200 articles on mathematics in journals, books, and conference proceedings. He has also coauthored over 20 mathematical books, including 6 that are written in English.

Political views and historical negationism In addition to his mathematical work, Pečarić has published more than 20 books and 40 articles on history and politics. This work is from a far-right point of view, and has been criticized as comprising historical negationism or Holocaust denial. For example, Pečarić has advocated for the return of the World War II-era fascist salute Za dom spremni. This salute has been called the Croatian equivalent of the German Sieg Heil. His 2017 book General Praljak reinvents the war criminal Slobodan Praljak as a humanist and war hero. His books Serbian Myths about Jasenovac and The Jasenovac Lie Revealed, the latter coauthored with Stjepan Razum, argued that the Jasenovac concentration camp was a labor camp with much lower casualties than the commonly accepted figure, and that the bulk of its victims were Croats killed by Yugoslav communist authorities after the war. This last prompted the Simon Wiesenthal Centre to advocate the Croatian government to ban publications denying the war crimes of the Ustaša.

Honors and awards Pečarić has received a number of honors and awards. He was awarded the Croatian National Science Award in 1996, and received the Order of Danica Hrvatska in 1999. Pečarić was appointed to full membership of the Croatian Academy of Sciences and Arts in 2000. In 2008, a conference was held in honor of his 60th birthday and an issue (volume 2 no. 2) of the Banach Journal of Mathematical Analysis was dedicated to him. Another conference was held in 2014 in Pečarić's honor on the occasion of the publication of his 1000th mathematical paper.

Selected bibliography

Textbooks Recent Advances in Geometric Inequalities, co-authored with Dragoslav Mitrinović and Veno Volenec. Dordecht : Springer Science & Business Media (1989). ISBN 978-94-015-7842-4 Inequalities Involving Functions and Their Integrals and Derivatives, co-authored with Dragoslav Mitrinović and A.M. Fink. Dordecht : Springer; Kluwer Academic Publishers (1991). ISBN 978-94-011-3562-7 Convex Functions, Partial Orderings, and Statistical Applications, co-authored with Frank Proschan and Y.L. Tong. Boston : Academic Press (1992). ISBN 9780080925226 Classical and New Inequalities in Analysis, co-authored with Dragoslav Mitrinović and A.M. Fink. Dordecht : Springer Science & Business Media (1993). ISBN 978-94-017-1043-5 Mond-Pečarić Method in Operator Inequalities, co-authored with Takayuki Furuta, Jadranka Mićić Hot and Yuki Seo. Zagreb : Element (2005). ISBN 9789531975711 Multiplicative Inequalities of Carlson Type and Interpolation, co-authored with Leo Larsson, Lech Maligranda and Lars-Erik Persson. World Scientific Publishing Co. (2006). ISBN 978-981-4478-36-6

Journal articles Inequalities for Differentiable Mappings with Application to Special Means and Quadrature Formulæ, with Charles E. M. Pearce in Applied Mathematics Letters (2000). doi:10.1016/S0893-9659(99)00164-0 Hadamard-type Inequalities for S-convex Functions, with Ugur S Kirmaci, Milica Klaričić Bakula and Mehmet Emin Özdemir in Applied Mathematics and Computation (2007). doi:10.1016/j.amc.2007.03.030 New Means of Cauchy's Type, with Matloob Anwar in Journal of Inequalities and Applications (2008). doi:10.1155/2008/163202

Non-fiction books Srpski mit o Jasenovcu: Skrivanje istine o beogradskim konc-logorima. Zagreb : Croatian information centre (1998). Srpski mit o Jasenovcu II: O Bulajićevoj ideologijigenocida hrvatskih autora. Zagreb : Element (2000). Serbian myth about Jasenovac. Zagreb : Stih (2001). ISBN 9789536959006 Književnik Mile Budak sada i ovdje [Writer Mile Budak here and now]. Zagreb : Vlastita naklada (2005). ISBN 9789539888747 General Praljak, co-authored with Miroslav Međimorec. Zagreb : Vlastita naklada (2017). ISBN 9789537575212 Razotkrivena jasenovačka laž [The Jasenovac Lie Revealed], co-authored with Stjepan Razum. Zagreb : Društvo za istraživanje trostrukog logora Jasenovac (2018). ISBN 9789535856511

References

Sources Byford, Jovan (2011). Staro sajmište: mesto sećanja, zaborava i sporenja. Beogradski centar za ljudska prava. ISBN 978-86-7202-131-8.

Illustrations

Josip Pečarić illustration

Worked examples

Example 1 — a first encounter with Josip Pečarić

Start with the simplest possible case. Write down what Josip Pečarić 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 Josip Pečarić 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 Josip Pečarić 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 Josip Pečarić

In research
Josip Pečarić 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 Josip Pečarić 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
Josip Pečarić is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, Academic staff of the University of Zagreb, Croatian Holocaust deniers, so understanding it makes those chapters shorter.
In everyday life
Look for Josip Pečarić 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 Josip Pečarić in 20 minutes

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

Frequently asked questions

What is Josip Pečarić in simple terms?

Josip Pečarić (born 2 September 1948) is a Croatian mathematician and writer. He is a professor of mathematics in the Faculty of Textile Technology at the University of Zagreb, Croatia, and is a full member of the Croatian Academy of Sciences and Arts.

Why does Josip Pečarić 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 Josip Pečarić?

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 Josip Pečarić.

Tags

  • 1948 births
  • Academic staff of the University of Zagreb
  • Croatian Holocaust deniers
  • Croatian mathematicians
  • Croats of Montenegro
  • Deniers of the genocide of Serbs in the Independent State of Croatia
  • Living people
  • Members of the Croatian Academy of Sciences and Arts
  • People from Kotor
  • University of Belgrade School of Electrical Engineering alumni

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