LEADER 06024nam 22008173u 450 001 9910455565403321 005 20210107014255.0 010 $a1-282-76204-4 010 $a9786612762048 010 $a981-4293-56-3 035 $a(CKB)2490000000001753 035 $a(EBL)1679394 035 $a(OCoLC)880826779 035 $a(SSID)ssj0001680238 035 $a(PQKBManifestationID)16496212 035 $a(PQKBTitleCode)TC0001680238 035 $a(PQKBWorkID)15028426 035 $a(PQKB)10152822 035 $a(SSID)ssj0000438909 035 $a(PQKBManifestationID)12229758 035 $a(PQKBTitleCode)TC0000438909 035 $a(PQKBWorkID)10459439 035 $a(PQKB)22766452 035 $a(WSP)00000699 035 $a(MiAaPQ)EBC1679394 035 $a(EXLCZ)992490000000001753 100 $a20160509d2009|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLecture Notes on Mathematical Olympiad Courses$b[electronic resource] $eFor Junior Section (In 2 Volumes) - Volume 1 210 $aRiver Edge $cWorld Scientific Publishing Company$d2009 215 $a1 online resource (183 p.) 225 1 $aMathematical Olympiad Series ;$vv.6 300 $aDescription based upon print version of record. 311 $a981-4293-54-7 327 $aContents; Preface; Acknowledgments; Abbreviations and Notations; Abbreviations; Notations for Numbers, Sets and Logic Relations; 1 Operations on Rational Numbers; 1. Basic Rules on Addition, Subtraction, Multiplication, Division; 2. Rule for Removing Brackets; 3. Ingenious Ways for Calculating; Examples; Testing Questions (A); Testing Questions (B); 2 Monomials and Polynomials; Definitions; Operations on Polynomials; Examples; Testing Questions (A); Testing Questions (B); 3 Linear Equations of Single Variable; Usual Steps for Solving Equations; Examples; Testing Questions (A) 327 $aTesting Questions (B)4 System of Simultaneous Linear Equations; Examples; Testing Questions (A); Testing Questions (B); 5 Multiplication Formulae; Basic Multiplication Formulae; Generalization of Formulae; Derived Basic Formulae; Examples; Testing Questions (A); Testing Questions (B); 6 Some Methods of Factorization; Basic Methods of Factorization; Examples; Testing Questions (A); Testing Questions (B); 7 Absolute Value and Its Applications; Basic Properties of Absolute Value; Examples; Testing Questions (A); Testing Questions (B); 8 Linear Equations with Absolute Values; Examples 327 $aTesting Questions (A)Testing Questions (B); 9 Sides and Angles of a Triangle; Basic Knowledge; Examples; Testing Questions (A); Testing Questions (B); 10 Pythagoras' Theorem and Its Applications; Examples; Testing Questions (A); Testing Questions (B); 11 Congruence of Triangles; Basic Criteria for Congruence of Two Triangles; Examples; Testing Questions (A); Testing Questions (B); 12 Applications of Midpoint Theorems; Examples; Testing Questions (A); Testing Questions (B); 13 Similarity of Triangles; Criteria for Similarity of Two Triangles; Basic Properties of Two Similar Triangles 327 $aImportant Proportional Properties of SegmentsExamples; Testing Questions (A); Testing Questions (B); 14 Areas of Triangles and Applications of Area; Basic formulae for area of a triangle; Comparison of areas of triangles; Examples; Testing Questions (A); Testing Questions (B); 15 Divisions of Polynomials; Examples; Testing Questions (A); Testing Questions (B); Solutions to Testing Questions; Solutions to Testing Questions 1; Testing Questions (1-A); Testing Questions (1-B); Solutions to Testing Questions 2; Testing Questions (2-A); Testing Questions (2-B); Solutions to Testing Questions 3 327 $aTesting Questions (3-A)Testing Questions (3-B); Solutions to Test questions 4; Testing Questions (4-A); Testing Questions (4-B); Solutions to Testing Questions 5; Testing Question (5-A); Testing Questions (5-B); Solutions to Testing Questions (6); Testing Questions (6-A); Testing Questions (6-B); Solutions to Test Questions 7; Testing Questions (7-A); Testing Questions (7-B); Solutions to Testing Questions 8; Testing Question (8-A); Testing Questions (8-B); Solutions to Testing Questions 9; Testing Questions (9-A); Testing Questions (9-B); Solutions to Testing Questions 10 327 $aTesting Question (10-A) 330 $a Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate num 410 0$aMathematical Olympiad Series 606 $aElectronic books. -- local 606 $aInternational Mathematical Olympiad 606 $aMathematics -- Competitions 606 $aMathematics -- Problems, exercises, etc 606 $aMathematics - General$2HILCC 606 $aMathematics$2HILCC 606 $aPhysical Sciences & Mathematics$2HILCC 608 $aElectronic books. 615 4$aElectronic books. -- local. 615 4$aInternational Mathematical Olympiad. 615 4$aMathematics -- Competitions. 615 4$aMathematics -- Problems, exercises, etc. 615 7$aMathematics - General 615 7$aMathematics 615 7$aPhysical Sciences & Mathematics 676 $a510 700 $aXu$b Jiagu$0478403 712 02$aebrary, Inc 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910455565403321 996 $aLecture notes on mathematical Olympiad courses$9264280 997 $aUNINA LEADER 00961nam0 22002651i 450 001 RML0254541 005 20231121125713.0 010 $a8814024510 100 $a20121121d1990 ||||0itac50 ba 101 | $aita 102 $ait 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $aStoria di un "falso"$el'efficacia inter partes delle sentenze di rigetto della corte costituzionale 210 $aMilano $cGiuffre' $d1990 606 $aDiritto costituzionale$2FIR$3RMLC085481$9I 700 1$aRUGGERI$b, Antonio$3RMLV150312$0354855 801 3$aIT$bIT-01$c20121121 850 $aIT-FR0098 899 $aBiblioteca Area Giuridico Economica$bFR0098 912 $aRML0254541 950 0$aBiblioteca Area Giuridico Economica$d 53DSG 06/0058$e 53VM 0000254505 VM barcode:GIU0002850. - Inventario:6013VM$fA $h20010423$i20121204 977 $a 53 996 $aStoria di un falso$9891140 997 $aUNICAS LEADER 03444nam 22004575 450 001 996565566203316 005 20231209095929.0 010 $a3-11-134168-2 024 7 $a10.1515/9783111341682 035 $a(CKB)29270034500041 035 $a(DE-B1597)665144 035 $a(DE-B1597)9783111341682 035 $a(EXLCZ)9929270034500041 100 $a20231209h20232024 fg 101 0 $ager 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aDer Herrscher im Massenmedium $eFränkische Bildpolitik auf Münzen und Siegeln im Kulturvergleich /$fDaniel Seelbach 210 1$aBerlin ;$aBoston : $cDe Gruyter, $d[2023] 210 4$d2024 215 $a1 online resource (X, 466 p.) 225 0 $aMillennium-Studien / Millennium Studies : Studien zu Kultur und Geschichte des ersten Jahrtausends n. Chr. / Studies in the Culture and History of the First Millennium C.E. ,$x1862-1139 ;$v105 311 08$a9783111341576 327 $tFrontmatter -- $tVorwort -- $tInhaltsverzeichnis -- $t1 Einleitung -- $t2 Frühe fränkisch-poströmische Medien (6. Jh. - 3. V. 7. Jh.) -- $t3 Schwächung des Königtums? (4. V. 7. Jh. - M. 8. Jh.) -- $t4 Beginn der neurömischen Kultur (M. 8. Jh. - 1. H. d. 9. Jhs.) -- $t5 Regionalisierung des fränkischen Imperiums (9. Jh. - 1. H. 10. Jh.) -- $t6 Die spätfränkische Zeit (10. Jh.) -- $t7 Überblick über epigraphische und ikonographische Elemente -- $t8 Fazit -- $tAbbildungen -- $tChartae geographicae -- $tAbkürzungsverzeichnis -- $tSchriftquellenverzeichnis -- $tLiteraturverzeichnis -- $tGlossar -- $tRegister 330 $aAuch wenn im Zuge des Iconic-Turns Historiker vermehrt auf Bildquellen zurückgriffen, so blieben die verbreitetsten Bildmedien der poströmischen Zeit, nämlich Münzen und Siegel, in Handbüchern und Studien unterrepräsentiert. Zu europäischen Herrschersiegeln dieser Zeit existiert bis heute nicht einmal ein Corpus. Dieser Band greift ebendiese Lücke auf, um die politische Kommunikation mittels Herrscherbildern auf Massenmedien der Franken im ständigen Vergleich mit denen anderer poströmischen Kulturen (Oströmer, Angelsachsen, Langobarden, Westgoten etc.) zu untersuchen und die teils höchst unterschiedlichen Entwicklungen zu erklären. Dabei wird auch vor heißdiskutierten Themen wie dem "Monetarierwesen" oder der "arabo-byzantinischen" Münzprägung nicht haltgemacht. Die so entstandene Makrohistorie bietet zukünftigen Forschenden einen guten Ausgangspunkt für weitere Studien. 330 $aThis study on post-Roman Europe is the first to systematically examine and compare the media of seals and coins for diverse cultures, such as the Franks, Lombards, Anglo-Saxons, and Visigoths, over a period of 500 years. It focuses on political communication by means of the ruler's image and the question of how it developed in specific media, which took place in very different ways despite a common heritage. 606 $aHISTORY / Medieval$2bisacsh 610 $aMiddle Ages. 610 $aimage of rulers. 610 $anumismatics. 610 $aseals. 615 7$aHISTORY / Medieval. 700 $aSeelbach$b Daniel, $4aut$4http://id.loc.gov/vocabulary/relators/aut$01453646 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a996565566203316 996 $aDer Herrscher im Massenmedium$93656614 997 $aUNISA