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Pojam geomatematike danas se sve eeScesusre6e u mnogim geoznanostima, pa dak i unazivima dru5tava, knjiga i dasopisa. Iakovedina inienjen i znanstvenika moiepretpostaviti od kuda potide korijen togapojma te u kojim podrudjima se moZeprimijeniti, postavlja se pitanje radi li se oskupini matematiikih metoda koje seuglavnom koriste u geoznanostima lli posebnojgeoznanosti. Odredeni broj tekstova ogeomatematici ve6 se pojavljivao u hrwatskojznanstvenoj literaturi, a jedan tematski dlanaktiskan je i u Vijestima HGD-a 2007. godhe.Kako je od tada geomatematika u velikomobimu primijenjena u hwatskimgeoznanostima, te je tiskan znatan broj radovai knjiga iz pojedinadnih podrudja koja sesvrstavaju u geomatematiku, Zeljeli smo krozjedan op5imiji opis i raspmw odrediti tajpojam u hrvatskoj znanstvenoj terminologiji.1. Geoznanosti ili znanosti o ZemljiPri spomenu rljedi geoznanosti na pwipogled zramo o demu je rijed, no poku5amo ligeoznanosti definirati, neie biti sasvim lako.Geoznanosti takoder poznate kaogeoznanost, znanost o Zemlji lh znanosti oZemlji je tennin za sve znanosti koje seodnose na planetu Zemlju. Geoznanosti sebave proudavanjem atmosfere, oceara,biosfere, kopna i gratle. planeta.Geoznanstvenici s pomo6u znanja iz frzrke,kemije, geologije, biologije i matematikepokuiavaju shvatiti kako Zemljin sustavfunkcionira i kako se razvljao do njegovadanaSnjeg stanja. Sljede6a zranstvena poljaop6enito se ubrajaju u geoznanosti (uglavnomorema URL 1): Miljenko LAPAINE & Tomislav MALVICo Geologrja opisuje stjenovite dijeloveZemljine kore (ili litosfere) i njihov povijesnirazvoj, ali i njihor,'u interakciju s astenosferomi jezgrom. Glavne grane geologije su:geokemija, geologija leZi5ta mineralnihsirovina, geomorfologija, hidrogeologija,inienj erska geologija, matematidka geologija,mineralogija, paleontologija, pekologija, stratigrafij a, strukturna geologija, sedimentologij a, tektonika.o Geofizika i geodezija istraZuju Zemllinoblik, njegov odnos prema silama temagnetsko i gravita0ij sko polje. GeofizidariistraZuju Zemljinu graclu (od litosfere dounutamje jezgre) Ie tektonske i seizmidkeaktivnosti.. Pedologtja (tloznanstvo) bavi sevanjskim slojem Zemljine kore na kojem sefomira tlo.. Oceanografij a i hidrografija(ukljudujuii limnologiju) opisuju podrudjamora i voda, odnosno vodene dijelove Zemlje(i1i hidrosferu). Osnor.,ne poddiscipline sufrzikalna, kemij ska i bioloSka oceanografija.. Glaciologrja se bavi ledenimdijelovima Zemlje ili kriosferom.o Znanosti o atmosferi bave seplinovitim dijelovima Zemlje th atmosferomizmedu Zemljine povriine i egzosfere (oko1000 km). Glavne poddisciplne sumeteorologija, klimatologija, kemija atmosferei fizika atmosfere.o Vrlo vaLna povezujula sferaje biosferakoja se proudava u biologiji. Biosfera se sastojiod svih oblika Zivota, od jednostanidnihorganrzama preko stabala do ljudi. Interakcijedrugih Zemljinih sfera - litosfere, hidrosfere,atmosfere i/ili kriosfere i pedosfere - dajuuvjete koji omogu6uju Zivot. 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Tj 1 0 0 1 124.56 429.12 Tm <706F647275646A7520> Tj 1 0 0 1 174.24 428.76 Tm <696E7465726469736369706C696E616D6968> Tj 0.36 Tc 1 0 0 1 35.28 415.44 Tm <7A6E616E6F7374692E20> Tj 1 0 0 1 89.64 415.08 Tm <47656F66727A6C6B612C20> Tj 1 0 0 1 149.40 414.72 Tm <6B616F20> Tj 1 0 0 1 177.12 415.08 Tm <7072696D696A656E6A656E6920> Tj 1 0 0 1 246.96 414.36 Tm <64696F> Tj 0.36 Tc 1 0 0 1 35.28 401.40 Tm <66697A696B6520> Tj 1 0 0 1 68.40 401.40 Tm <6E696A6520> Tj 1 0 0 1 92.52 401.04 Tm <62696C6120> Tj 1 0 0 1 116.28 401.04 Tm <7520> Tj 1 0 0 1 128.52 401.40 Tm <706F6C6A7520> Tj 1 0 0 1 159.48 400.68 Tm <66697A696B652C20> Tj 1 0 0 1 195.84 400.68 Tm <6E65676F20> Tj 1 0 0 1 225.00 400.68 Tm <7520> Tj 1 0 0 1 236.88 401.04 Tm <706F6C6A75> Tj 0.36 Tc 1 0 0 1 35.28 387.72 Tm <67656F7A6E616E6F7374692C20> Tj 1 0 0 1 102.60 387.00 Tm <646F6B20> Tj 1 0 0 1 126.36 388.80 Tm <6A6520> Tj 1 0 0 1 143.28 387.00 Tm <66697A696B6120> Tj 1 0 0 1 177.12 387.36 Tm <706F7365626E6F20> Tj 1 0 0 1 224.28 387.36 Tm <706F6C6A6520> Tj 1 0 0 1 255.60 386.64 Tm <75> Tj 0.36 Tc 1 0 0 1 34.92 374.04 Tm <706F647275646A7520> Tj 1 0 0 1 85.32 373.68 Tm <707269726F646E696820> Tj 1 0 0 1 138.60 373.32 Tm <7A6E61616F7374692E20> Tj 1 0 0 1 189.72 372.96 Tm <5072656D6120> Tj 1 0 0 1 228.24 372.96 Tm <6E6F766F6D> Tj 0.00 Tc 1 0 0 1 34.56 359.64 Tm <50726176696C6E696B7520> Tj 1 0 0 1 97.92 359.28 Tm <6F20> Tj 1 0 0 1 115.20 359.28 Tm <7A6E616E737476656E696D20> Tj 1 0 0 1 187.92 358.92 Tm <6920> Tj 1 0 0 1 203.04 358.92 Tm <756D6A65746E69696B696D> Tj 0.36 Tc 1 0 0 1 33.48 345.96 Tm <706F647275696A696D612C20> Tj 1 0 0 1 98.28 345.60 Tm <706F6C6A696D6120> Tj 1 0 0 1 142.92 345.24 Tm <6920> Tj 1 0 0 1 151.92 345.60 Tm <6772616E616D6120> Tj 1 0 0 1 202.68 345.60 Tm <284E6163696F6E616C6E6F> Tj 0.36 Tc 1 0 0 1 34.92 331.56 Tm <766C6A65746520> Tj 1 0 0 1 66.96 331.56 Tm <7A6120> Tj 1 0 0 1 81.36 331.56 Tm <7A6E616E6F737C323030392920> Tj 1 0 0 1 154.44 331.56 Tm <706F6C6A6520> Tj 1 0 0 1 181.80 331.56 Tm <67656F7A6E616E6F73746920> Tj 1 0 0 1 242.28 330.84 Tm <76695365> Tj 0.36 Tc 1 0 0 1 34.56 317.88 Tm <6E6520> Tj 1 0 0 1 50.40 318.24 Tm <706F73746F6A692E20> Tj 1 0 0 1 90.36 317.52 Tm <55766564656E6120> Tj 1 0 0 1 137.88 317.52 Tm <737520> Tj 1 0 0 1 152.64 317.52 Tm <6E6F766120> Tj 1 0 0 1 180.36 317.88 Tm <706F6C6A6120> Tj 1 0 0 1 209.16 317.52 Tm <67656F6C6F67696A6120> Tj 1 0 0 1 258.48 317.16 Tm <69> Tj 0.72 Tc 1 0 0 1 34.92 304.56 Tm <67656F666C7A696B612E20> Tj 1 0 0 1 88.20 303.84 Tm <506F6C6A6520> Tj 1 0 0 1 120.60 303.84 Tm <312E30332E20> Tj 1 0 0 1 149.76 303.48 Tm <47656F6C6F67696A6120> Tj 1 0 0 1 203.40 303.48 Tm <64696A656C6920> Tj 1 0 0 1 234.36 303.12 Tm <736520> Tj 1 0 0 1 250.20 303.12 Tm <6E61> Tj 0.36 Tc 1 0 0 1 34.92 289.80 Tm <6476696A6520> Tj 1 0 0 1 61.92 290.16 Tm <6772616E653A> Tj 0.72 Tc 1 0 0 1 53.64 276.12 Tm <312E30332E303120> Tj 1 0 0 1 91.80 276.12 Tm <67656F6C6F67696A6120> Tj 1 0 0 1 139.32 275.76 Tm <6920> Tj 1 0 0 1 145.08 276.12 Tm <70616C656F6E746F6C6F67696A61> Tj 0.72 Tc 1 0 0 1 53.64 262.08 Tm <312E30332E303220> Tj 1 0 0 1 91.44 261.72 Tm <6D696E6572616C6F67696A6120> Tj 1 0 0 1 155.16 261.72 Tm <6920> Tj 1 0 0 1 160.92 262.08 Tm <7065686F6C6F67696A612E> Tj 0.36 Tc 1 0 0 1 51.84 234.36 Tm <4E6F766F20> Tj 1 0 0 1 87.48 234.36 Tm <706F6C6A6520> Tj 1 0 0 1 121.68 234.00 Tm <312E30362E20> Tj 1 0 0 1 153.72 233.64 Tm <47656F66727A696B6120> Tj 1 0 0 1 209.88 233.64 Tm <696D6120> Tj 1 0 0 1 236.52 233.64 Tm <646574697269> Tj 0.36 Tc 1 0 0 1 34.56 220.68 Tm <6772616E653A> Tj 0.36 Tc 1 0 0 1 53.28 206.28 Tm <312E30362E303120> Tj 1 0 0 1 91.08 206.28 Tm <6D6574656F726F6C6F67696A6120> Tj 1 0 0 1 161.28 205.92 Tm <7320> Tj 1 0 0 1 168.12 205.92 Tm <6B6C696D61746F6C6F67696A6F6D> Tj 0.36 Tc 1 0 0 1 53.28 192.24 Tm <312E30362E303220> Tj 1 0 0 1 91.08 191.88 Tm <66697A69646B6120> Tj 1 0 0 1 126.72 191.88 Tm <6F6365616E6F67726166696A20> Tj 1 0 0 1 186.84 191.88 Tm <61> Tj 0.36 Tc 1 0 0 1 53.28 178.20 Tm <312E30362E303320> Tj 1 0 0 1 92.88 177.84 Tm <7365697A6D6F6C6F676C6A6120> Tj 1 0 0 1 158.76 177.84 Tm <6920> Tj 1 0 0 1 167.04 177.84 Tm <66697A696B6120> Tj 1 0 0 1 198.72 177.48 Tm <756E75747261536E6A6F737469> Tj 0.36 Tc 1 0 0 1 33.84 164.52 Tm <5A656D6C6A65> Tj 0.36 Tc 1 0 0 1 52.92 150.48 Tm <312E30362E303420> Tj 1 0 0 1 91.08 150.12 Tm <6F7374616C6520> Tj 1 0 0 1 122.04 150.48 Tm <67656F66697A69646B6520> Tj 1 0 0 1 174.60 149.76 Tm <6469736369706C696E65> Tj 0.36 Tc 1 0 0 1 51.84 122.40 Tm <54616B6F20> Tj 1 0 0 1 84.24 122.76 Tm <67656F66697A696B6120> Tj 1 0 0 1 136.44 122.04 Tm <6E696A6520> Tj 1 0 0 1 162.36 122.04 Tm <64696F20> Tj 1 0 0 1 185.40 122.04 Tm <66697A696B6520> Tj 1 0 0 1 220.68 122.04 Tm <6E65676F20> Tj 1 0 0 1 250.56 123.12 Tm <6A65> Tj 0.36 Tc 1 0 0 1 33.48 109.08 Tm <706F7365626E6F20> Tj 1 0 0 1 86.76 108.72 Tm <706F6C6A652C20> Tj 1 0 0 1 127.44 108.36 Tm <7261766E6F707261766E6F20> Tj 1 0 0 1 201.96 108.00 Tm <7320> Tj 1 0 0 1 220.32 108.00 Tm <66697A696B6F6D2E> Tj 0.36 Tc 1 0 0 1 33.84 94.68 Tm <47656F67726166696A612C20> Tj 1 0 0 1 97.56 94.32 Tm <6B6F6A6120> Tj 1 0 0 1 127.08 95.76 Tm <6A6520> Tj 1 0 0 1 146.52 94.68 Tm <7072696A6520> Tj 1 0 0 1 178.56 93.96 Tm <62696C6120> Tj 1 0 0 1 206.64 94.32 Tm <706F64696A656C6A656E61> Tj 0.00 Tc 1 0 0 1 34.20 81.00 Tm <697A6D65647520> Tj 1 0 0 1 78.84 81.00 Tm <67656F7A6E616E6F73746920> Tj 1 0 0 1 144.36 81.00 Tm <2866697A69646B6120> Tj 1 0 0 1 189.72 80.64 Tm <67656F67726166696A612920> Tj 1 0 0 1 251.28 80.28 Tm <7465> Tj 0.36 Tc 1 0 0 1 33.48 66.96 Tm <736F63696A616C6E6520> Tj 1 0 0 1 82.80 67.32 Tm <67656F67726166696A6520> Tj 1 0 0 1 137.88 66.60 Tm <6920> Tj 1 0 0 1 147.96 66.60 Tm <64656D6F67726166696A6520> Tj 1 0 0 1 212.04 66.24 Tm <6B616F20> Tj 1 0 0 1 235.80 66.60 Tm <706F6C6A61> Tj 0.00 Tc /F3 11.0 Tf 1 0 0 1 291.96 748.44 Tm <756E7574617220> Tj 1 0 0 1 330.12 748.80 Tm <706F647275646A6120> Tj 1 0 0 1 380.16 748.44 Tm <696E7465726469736369706C696E61726E696820> Tj 1 0 0 1 475.92 747.72 Tm <7A6E616E6F7374692C> Tj 0.36 Tc 1 0 0 1 291.60 735.12 Tm <706F20> Tj 1 0 0 1 308.52 734.76 Tm <6E6F766F6D6520> Tj 1 0 0 1 350.28 735.84 Tm <6A6520> Tj 1 0 0 1 364.68 734.40 Tm <50726176696C6E696B7520> Tj 1 0 0 1 419.04 734.04 Tm <7520> Tj 1 0 0 1 429.84 734.04 Tm <63696A656C6F73746920> Tj 1 0 0 1 473.04 733.68 Tm <697A64766F6A656E61> Tj 0.36 Tc 1 0 0 1 291.60 720.72 Tm <6B616F20> Tj 1 0 0 1 320.40 720.72 Tm <706F7365626E6F20> Tj 1 0 0 1 371.52 720.72 Tm <706F6C6A6520> Tj 1 0 0 1 407.16 720.00 Tm <7520> Tj 1 0 0 1 424.80 720.00 Tm <696E7465726469736369706C696E616D6F6D> Tj 0.36 Tc 1 0 0 1 291.60 707.04 Tm <706F647275646A7520> Tj 1 0 0 1 344.88 706.68 Tm <7A6E616E6F7374692E20> Tj 1 0 0 1 398.16 705.96 Tm <5520> Tj 1 0 0 1 416.88 706.32 Tm <706F736C6A65646E6A656D20> Tj 1 0 0 1 486.72 705.60 Tm <646C616E6B75> Tj 0.36 Tc 1 0 0 1 291.96 692.64 Tm <73706F6D656E75746F6720> Tj 1 0 0 1 356.76 692.28 Tm <50726176696C6E696B6120> Tj 1 0 0 1 412.56 692.28 Tm <646974616D6F3A20> Tj 1 0 0 1 456.12 690.84 Tm <222E2E2E20> Tj 1 0 0 1 475.20 691.56 Tm <6F7669736E6F20> Tj 1 0 0 1 512.64 691.56 Tm <6F> Tj 0.36 Tc 1 0 0 1 290.16 679.32 Tm <706F74726562616D6120> Tj 1 0 0 1 364.32 678.60 Tm <7520> Tj 1 0 0 1 389.16 678.60 Tm <706F6A6564696E696D20> Tj 1 0 0 1 458.64 677.88 Tm <7A6E616E737476656E696D> Tj 0.00 Tc 1 0 0 1 290.16 665.28 Tm <706F647275696A696D612C20> Tj 1 0 0 1 355.32 664.92 Tm <706F6C6A696D6120> Tj 1 0 0 1 401.40 664.20 Tm <6920> Tj 1 0 0 1 410.76 664.56 Tm <6772616E616D6120> Tj 1 0 0 1 462.24 663.84 Tm <767269697420> Tj 1 0 0 1 490.68 663.84 Tm <636520> Tj 1 0 0 1 508.32 663.48 Tm <7365> Tj 0.00 Tc 1 0 0 1 290.16 651.24 Tm <706572696F6469696E6520> Tj 1 0 0 1 346.32 650.88 Tm <697A6D6A656E6520> Tj 1 0 0 1 385.92 650.52 Tm <6920> Tj 1 0 0 1 392.04 650.52 Tm <646F70756E6520> Tj 1 0 0 1 430.56 650.16 Tm <6F766F6720> Tj 1 0 0 1 456.12 650.16 Tm <50726176696C6E696B612D2220> Tj 1 0 0 1 516.24 649.80 Tm <2E> Tj 0.72 Tc 1 0 0 1 291.96 636.84 Tm <5320> Tj 1 0 0 1 303.12 636.84 Tm <6F627A69726F6D20> Tj 1 0 0 1 347.40 636.84 Tm <6E6120> Tj 1 0 0 1 363.60 636.84 Tm <6E61766564656E6F2C20> Tj 1 0 0 1 417.24 636.48 Tm <64696E6920> Tj 1 0 0 1 439.92 636.12 Tm <736520> Tj 1 0 0 1 455.04 636.12 Tm <72617A756D6E696D20> Tj 1 0 0 1 507.60 635.76 Tm <7A61> Tj 0.36 Tc 1 0 0 1 291.24 623.16 Tm <6E65736C755A62656E6520> Tj 1 0 0 1 349.20 623.16 Tm <707269676F64652C20> Tj 1 0 0 1 393.84 622.44 Tm <6B616F20> Tj 1 0 0 1 416.88 622.44 Tm <53746F20> Tj 1 0 0 1 434.16 623.88 Tm <6A6520> Tj 1 0 0 1 449.28 622.08 Tm <6F76612C20> Tj 1 0 0 1 473.76 622.44 Tm <70726968766174697469> Tj 0.36 Tc 1 0 0 1 291.60 609.12 Tm <646566696E6963696A7520> Tj 1 0 0 1 353.88 609.12 Tm <7072656D6120> Tj 1 0 0 1 401.04 608.76 Tm <6B6F6A6F6A20> Tj 1 0 0 1 442.80 608.76 Tm <706F6420> Tj 1 0 0 1 477.72 608.40 Tm <706F6A6D6F6D> Tj 0.36 Tc 1 0 0 1 291.60 595.44 Tm <67656F7A6E616E6F73746920> Tj 1 0 0 1 352.80 595.08 Tm <706F6472617A756D696A20> Tj 1 0 0 1 407.88 594.36 Tm <6576616D6F20> Tj 1 0 0 1 444.60 594.00 Tm <73766520> Tj 1 0 0 1 464.76 594.00 Tm <7A6E616E737476656E65> Tj 0.36 Tc 1 0 0 1 291.24 581.04 Tm <6469736369706C696E6520> Tj 1 0 0 1 345.24 581.04 Tm <6B6F6A6520> Tj 1 0 0 1 373.68 580.68 Tm <736520> Tj 1 0 0 1 390.60 580.68 Tm <6E6120> Tj 1 0 0 1 409.32 580.68 Tm <62696C6F20> Tj 1 0 0 1 435.60 580.32 Tm <6B6F6A6920> Tj 1 0 0 1 461.88 579.96 Tm <6E6164696E20> Tj 1 0 0 1 495.36 579.96 Tm <62617665> Tj 0.00 Tc 1 0 0 1 291.96 567.36 Tm <5A656D6C6A6F6D2C20> Tj 1 0 0 1 340.92 567.00 Tm <62657A20> Tj 1 0 0 1 362.52 566.64 Tm <6F627A69726120> Tj 1 0 0 1 394.20 566.64 Tm <6E6120> Tj 1 0 0 1 409.68 567.00 Tm <706F647275646A20> Tj 1 0 0 1 446.04 566.28 Tm <612C20> Tj 1 0 0 1 457.20 566.64 Tm <706F6C6A20> Tj 1 0 0 1 476.28 565.92 Tm <6120> Tj 1 0 0 1 484.92 565.92 Tm <6920> Tj 1 0 0 1 491.76 566.28 Tm <6772616E65> Tj 0.36 Tc 1 0 0 1 290.88 553.68 Tm <7072656D6120> Tj 1 0 0 1 324.36 552.96 Tm <736C755A62656E6F6A20> Tj 1 0 0 1 372.60 553.32 Tm <706F646A656C6920> Tj 1 0 0 1 409.32 552.60 Tm <7A6E616E6F73746920> Tj 1 0 0 1 452.16 552.24 Tm <7520> Tj 1 0 0 1 461.16 552.24 Tm <6C6C72766174736B6F6A2E> Tj 0.36 Tc 1 0 0 1 290.88 511.56 Tm <322E20> Tj 1 0 0 1 303.12 511.20 Tm <53746F20> Tj 1 0 0 1 321.84 512.64 Tm <6A6520> Tj 1 0 0 1 335.16 511.92 Tm <67656F6D6174656D6174696B613F> Tj 0.00 Tc 1 0 0 1 308.52 483.84 Tm <416B6F20> Tj 1 0 0 1 333.00 484.20 Tm <70726968766174696D6F20> Tj 1 0 0 1 389.52 483.12 Tm <646120> Tj 1 0 0 1 403.56 484.56 Tm <6A6520> Tj 1 0 0 1 416.52 483.48 Tm <67656F66697A696B6120> Tj 1 0 0 1 464.40 482.76 Tm <7A6E616E737476656E61> Tj 0.36 Tc 1 0 0 1 290.88 469.80 Tm <6469736369706C696E6120> Tj 1 0 0 1 343.08 469.80 Tm <6B6F6A6120> Tj 1 0 0 1 369.72 470.16 Tm <70726F756461766120> Tj 1 0 0 1 420.12 469.08 Tm <66697A696B616C6E6520> Tj 1 0 0 1 468.00 469.08 Tm <706F6A61766520> Tj 1 0 0 1 506.16 468.72 Tm <6E61> Tj 0.00 Tc 1 0 0 1 291.24 456.12 Tm <5A656D6C6A6920> Tj 1 0 0 1 335.16 456.12 Tm <746520> Tj 1 0 0 1 356.76 455.76 Tm <646120> Tj 1 0 0 1 379.44 457.20 Tm <6A6520> Tj 1 0 0 1 401.40 455.76 Tm <67656F6B656D696A6120> Tj 1 0 0 1 464.04 455.04 Tm <7A6E616E737476656E61> Tj 0.36 Tc 1 0 0 1 290.52 442.08 Tm <6469736369706C696E6120> Tj 1 0 0 1 348.12 441.72 Tm <6B6F6A6120> Tj 1 0 0 1 379.80 442.08 Tm <70726F756461766120> Tj 1 0 0 1 435.24 441.36 Tm <6B656D696A736B6920> Tj 1 0 0 1 488.16 441.00 Tm <736173746176> Tj 0.36 Tc 1 0 0 1 290.16 428.40 Tm <5A656D6C6A652C20> Tj 1 0 0 1 333.36 428.40 Tm <707269726F646E6F20> Tj 1 0 0 1 381.24 427.68 Tm <736520> Tj 1 0 0 1 396.72 428.04 Tm <706F737461766C6A6120> Tj 1 0 0 1 446.40 427.68 Tm <706974616E6A652C20> Tj 1 0 0 1 488.88 426.96 Tm <53746F20> Tj 1 0 0 1 507.60 428.40 Tm <6A65> Tj 0.00 Tc 1 0 0 1 290.88 414.36 Tm <7461646120> Tj 1 0 0 1 312.84 414.72 Tm <67656F6D6174656D6174696B613F> Tj 0.36 Tc 1 0 0 1 307.80 386.28 Tm <4E656461766E6F20> Tj 1 0 0 1 365.40 387.72 Tm <6A6520> Tj 1 0 0 1 389.88 385.92 Tm <7520> Tj 1 0 0 1 411.48 385.92 Tm <697A64616E6A7520> Tj 1 0 0 1 461.52 385.56 Tm <48776174736B6F6761> Tj 0.36 Tc 1 0 0 1 290.16 372.96 Tm <67656F6C6F356B6F6720> Tj 1 0 0 1 345.96 372.24 Tm <6472755374766120> Tj 1 0 0 1 387.36 371.88 Tm <6F626A61766C6A656E20> Tj 1 0 0 1 438.84 371.52 Tm <47656F6D6174656D617469696B69> Tj 0.36 Tc 1 0 0 1 290.16 358.56 Tm <726A65696E696B20> Tj 1 0 0 1 328.68 358.92 Tm <284D414C56494320> Tj 1 0 0 1 384.48 358.20 Tm <6920> Tj 1 0 0 1 392.76 357.84 Tm <64722E2C20> Tj 1 0 0 1 413.64 357.84 Tm <32303038292E20> Tj 1 0 0 1 449.64 357.48 Tm <5520> Tj 1 0 0 1 462.96 357.48 Tm <746F6A20> Tj 1 0 0 1 480.60 357.48 Tm <6B6E6A695A696369> Tj 0.36 Tc 1 0 0 1 289.80 344.52 Tm <6E6120> Tj 1 0 0 1 308.88 344.52 Tm <37302D616B20> Tj 1 0 0 1 343.44 344.52 Tm <737472616E69636120> Tj 1 0 0 1 387.72 344.16 Tm <6E696A6520> Tj 1 0 0 1 413.64 343.80 Tm <656B73706C696369746E6F20> Tj 1 0 0 1 473.76 343.44 Tm <646566696E6972616E> Tj 0.00 Tc 1 0 0 1 289.80 330.84 Tm <7465726D696E20> Tj 1 0 0 1 328.32 331.20 Tm <67656F6D6174656D6174696B612E20> Tj 1 0 0 1 411.48 330.12 Tm <4D65647574696D2C20> Tj 1 0 0 1 465.12 330.12 Tm <7072766920> Tj 1 0 0 1 492.12 329.40 Tm <6175746F72> Tj 0.36 Tc 1 0 0 1 289.80 317.16 Tm <746F676120> Tj 1 0 0 1 319.68 316.80 Tm <726A65646E696B6120> Tj 1 0 0 1 367.92 316.44 Tm <6F626A6176696F20> Tj 1 0 0 1 411.84 317.88 Tm <6A6520> Tj 1 0 0 1 430.92 316.08 Tm <6F20> Tj 1 0 0 1 446.04 316.44 Tm <67656F6D6174656D6174696369> Tj 0.00 Tc 1 0 0 1 289.44 303.48 Tm <706F736562616E20> Tj 1 0 0 1 332.28 302.76 Tm <72616420> Tj 1 0 0 1 350.64 302.76 Tm <7520> Tj 1 0 0 1 361.44 302.40 Tm <56696A657374696D6120> Tj 1 0 0 1 407.88 302.40 Tm <4872766174736B6F676120> Tj 1 0 0 1 467.28 302.04 Tm <67656F6C6F696B6F67> Tj 0.00 Tc 1 0 0 1 289.80 289.08 Tm <6472756974766120> Tj 1 0 0 1 336.24 289.08 Tm <284D414C5649432C20> Tj 1 0 0 1 400.32 288.36 Tm <32303037292E20> Tj 1 0 0 1 441.72 288.00 Tm <5072656D6120> Tj 1 0 0 1 483.12 287.64 Tm <6175746F72752C> Tj 0.36 Tc 1 0 0 1 289.80 275.40 Tm <67656F6D6174656D6174696B6120> Tj 1 0 0 1 367.20 276.12 Tm <6A6520> Tj 1 0 0 1 382.68 274.68 Tm <736B757020> Tj 1 0 0 1 410.40 274.32 Tm <6D6174656D617469646B696820> Tj 1 0 0 1 480.96 273.96 Tm <6D65746F6461> Tj 0.36 Tc 1 0 0 1 289.44 261.00 Tm <6B6F6A6520> Tj 1 0 0 1 317.16 261.00 Tm <736520> Tj 1 0 0 1 333.36 261.36 Tm <7072696D6A656E6A756A7520> Tj 1 0 0 1 396.00 260.64 Tm <7520> Tj 1 0 0 1 408.96 261.00 Tm <67656F6C6F67696A692C20> Tj 1 0 0 1 461.88 259.92 Tm <6120> Tj 1 0 0 1 473.40 259.92 Tm <6D6F5A6520> Tj 1 0 0 1 506.52 259.56 Tm <7365> Tj 0.36 Tc 1 0 0 1 289.08 247.68 Tm <706F64696A656C69746920> Tj 1 0 0 1 343.44 246.96 Tm <6E6120> Tj 1 0 0 1 365.76 246.96 Tm <74726920> Tj 1 0 0 1 387.00 246.96 Tm <706F646469736369706C696E653A20> Tj 1 0 0 1 466.92 245.16 Tm <226B6C617369646E7522> Tj 0.36 Tc 1 0 0 1 289.80 233.28 Tm <73746174697374696B752C20> Tj 1 0 0 1 338.76 233.64 Tm <67656F73746174697374696B7520> Tj 1 0 0 1 402.48 232.56 Tm <6920> Tj 1 0 0 1 408.60 232.56 Tm <6E6575726F6E736B6520> Tj 1 0 0 1 460.80 232.20 Tm <6D72655A652E> Tj 0.36 Tc 1 0 0 1 307.80 205.20 Tm <536C69646E6F20> Tj 1 0 0 1 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Posebnu zanimljivost na temu podjeleznanosti na njezine dijelove (podrudja, polja igrane) imamo u lkvatskoj. Prema Pravilniku oznanstvenim i umjetniikim podruijima,poljima i granama (Nacionalno vijele zaznanost, 2008) u podrudju prirodnih znanostipostojalo je polje 1.03. Geoznanosti koje sedijelilo na sljede6e grane:1.03.01 geografrja1.03.02 geofizika1.03.03 geologija1.03.04 mineralogija1.03.05 znanost o moruI .03.06 znanost o okoli5uZanimljivo je kako geodezija nije swstanau geoznanosti, nego u posebno polje upodrudju tehidkih znanosti. Geografija jesamo djelomidno bila geoznanost jer jesocijalna geografil'a s demografijom biloposebno polje u podrudju interdisciplinamihznanosti. Geofrzlka, kao primijenjeni diofizike nije bila u polju fizike, nego u poljugeoznanosti, dok je fizika posebno polje upodrudju prirodnih znaaosti. Prema novomPravilniku o znanstvenim i umjetniikimpodruijima, poljima i granama (Nacionalnovljete za znanos|2009) polje geoznanosti viSene postoji. Uvedena su nova polja geologija igeoflzika. Polje 1.03. Geologija dijeli se nadvije grane:1.03.01 geologija i paleontologija1.03.02 mineralogija i pehologija.Novo polje 1.06. Geofrzika ima detirigrane:1.06.01 meteorologija s klimatologijom1.06.02 fizidka oceanografij a1.06.03 seizmologlja i fizika unutraSnjostiZemlje1.06.04 ostale geofizidke disciplineTako geofizika nije dio fizike nego jeposebno polje, ravnopravno s fizikom.Geografija, koja je prije bila podijeljenaizmedu geoznanosti (fizidka geografija) tesocijalne geografije i demografije kao polja unutar podrudja interdisciplinarnih znanosti,po novome je Pravilniku u cijelosti izdvojenakao posebno polje u interdisciplinamompodrudju znanosti. U posljednjem dlankuspomenutog Pravilnika ditamo: "... ovisno opotrebama u pojedinim znanstvenimpodruijima, poljima i granama vriit ce seperiodiine izmjene i dopune ovog Pravilnika-" .S obzirom na navedeno, dini se razumnim zanesluZbene prigode, kao Sto je ova, prihvatitidefiniciju prema kojoj pod pojmomgeoznanosti podrazumij evamo sve znanstvenediscipline koje se na bilo koji nadin baveZemljom, bez obzira na podrudj a, polj a i graneprema sluZbenoj podjeli znanosti u llrvatskoj.2. Sto je geomatematika?Ako prihvatimo da je geofizika znanstvenadisciplina koja proudava fizikalne pojave naZemlji te da je geokemija znanstvenadisciplina koja proudava kemijski sastavZemlje, prirodno se postavlja pitanje, Sto jetada geomatematika?Nedavno je u izdanju Hwatskogageolo5kog druStva objavljen Geomatematiikirjeinik (MALVIC i dr., 2008). U toj knjiZicina 70-ak stranica nije eksplicitno definirantermin geomatematika. Medutim, prvi autortoga rjednika objavio je o geomatematiciposeban rad u Vijestima Hrvatskoga geoloikogdruitva (MALVIC, 2007). Prema autoru,geomatematika je skup matematidkih metodakoje se primjenjuju u geologiji, a moZe sepodijeliti na tri poddiscipline: "klasidnu"statistiku, geostatistiku i neuronske mreZe.Slidno razmi5ljanje moZemo na6i u dlankuGeomatematika u madarskoj geologijiakademika Gydrgyja Bdrdossyja iz Madarskeakademije znanosti (URL 2): "Primjenamatematiikih metoda ima u Madarskoj dugutradiciju. 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0.36 Tc 1 0 0 1 44.28 120.24 Tm <427564696D706553746920> Tj 1 0 0 1 106.92 120.24 Tm <2855524C20> Tj 1 0 0 1 141.84 119.88 Tm <352920> Tj 1 0 0 1 158.76 119.88 Tm <703133653A20> Tj 1 0 0 1 188.64 119.16 Tm <2247656F6D6174656D6174696B612C> Tj 0.36 Tc 1 0 0 1 43.92 106.20 Tm <6B616F20> Tj 1 0 0 1 65.52 106.20 Tm <706F7365626E6120> Tj 1 0 0 1 111.24 106.20 Tm <7072696D6A656E6120> Tj 1 0 0 1 162.36 105.48 Tm <6D6174656D617469696B6520> Tj 1 0 0 1 228.24 105.12 Tm <73746174697374696B65> Tj 0.36 Tc 1 0 0 1 44.28 92.16 Tm <6E6120> Tj 1 0 0 1 57.60 92.52 Tm <70726F626C656D6520> Tj 1 0 0 1 107.28 92.16 Tm <7A6E616E6F73746920> Tj 1 0 0 1 151.20 91.80 Tm <6F20> Tj 1 0 0 1 159.84 91.80 Tm <5A656D6C6A7C20> Tj 1 0 0 1 197.28 91.44 Tm <696D6120> Tj 1 0 0 1 217.44 91.44 Tm <7A6120> Tj 1 0 0 1 232.20 91.44 Tm <6F70746920> Tj 1 0 0 1 255.96 91.44 Tm <63696C6A> Tj 0.36 Tc 1 0 0 1 43.92 78.48 Tm <646F626976616E6A6520> Tj 1 0 0 1 101.88 78.48 Tm <67656F6C6F696B696820> Tj 1 0 0 1 160.20 77.76 Tm <6F626A656B61746120> Tj 1 0 0 1 212.76 77.76 Tm <697A20> Tj 1 0 0 1 231.12 77.40 Tm <736B61706F7661> Tj 0.36 Tc 1 0 0 1 42.48 64.80 Tm <706F646174616B6120> Tj 1 0 0 1 93.60 64.08 Tm <736120> Tj 1 0 0 1 111.60 63.72 Tm <2269756D6F76696D612220> Tj 1 0 0 1 174.60 65.16 Tm <28706F6461636920> Tj 1 0 0 1 216.00 63.72 Tm <6B6F6A6920> Tj 1 0 0 1 239.04 63.72 Tm <736164726965> Tj 0.36 Tc /F3 8.0 Tf 1 0 0 1 494.64 788.76 Tm <6C3B616C20> Tj 1 0 0 1 510.48 788.40 Tm <34372F20> Tj 1 0 0 1 523.08 788.76 Tm <49> Tj 0.00 Tc /F3 11.0 Tf 1 0 0 1 303.48 745.56 Tm <736C7569616A6E6520> Tj 1 0 0 1 350.64 745.56 Tm <706F677265696B65292E20> Tj 1 0 0 1 411.84 744.84 Tm <5520> Tj 1 0 0 1 427.32 744.84 Tm <696972656D20> Tj 1 0 0 1 462.24 744.48 Tm <736D69736C752C20> Tj 1 0 0 1 504.72 744.12 Tm <746F20> Tj 1 0 0 1 519.84 745.20 Tm <6A65> Tj 0.00 Tc 1 0 0 1 304.20 731.52 Tm <74616B6F64657220> Tj 1 0 0 1 345.96 731.52 Tm <6F736E6F796E6920> Tj 1 0 0 1 389.16 731.16 Tm <63696C6A20> Tj 1 0 0 1 408.96 731.16 Tm <67656F66697A696B652C20> Tj 1 0 0 1 460.80 730.44 Tm <6120> Tj 1 0 0 1 472.32 730.44 Tm <746120> Tj 1 0 0 1 486.72 730.44 Tm <69696E6A656E696361> Tj 0.00 Tc 1 0 0 1 303.48 717.48 Tm <737567657269726120> Tj 1 0 0 1 351.72 717.48 Tm <76726C6F20> Tj 1 0 0 1 378.72 717.12 Tm <75736B7520> Tj 1 0 0 1 407.88 717.12 Tm <76657A7520> Tj 1 0 0 1 436.68 716.76 Tm <697A6D65647520> Tj 1 0 0 1 477.00 716.76 Tm <67656F66697A696B6520> Tj 1 0 0 1 527.76 716.04 Tm <69> Tj 0.36 Tc 1 0 0 1 303.12 704.16 Tm <67656F6D6174656D6174696B652E> Tj 0.36 Tc 1 0 0 1 322.20 689.76 Tm <47656F66697A696961726920> Tj 1 0 0 1 390.60 689.40 Tm <76657420> Tj 1 0 0 1 421.20 689.04 Tm <6475676F20> Tj 1 0 0 1 460.08 688.68 Tm <75706F747265626C6A6176616A75> Tj 0.00 Tc 1 0 0 1 303.48 676.08 Tm <72617A6C696969746520> Tj 1 0 0 1 348.48 675.72 Tm <6D6174656D617469696B6520> Tj 1 0 0 1 414.72 675.00 Tm <6D65746F646520> Tj 1 0 0 1 454.68 675.00 Tm <6B6F6A6520> Tj 1 0 0 1 479.88 674.64 Tm <736520> Tj 1 0 0 1 496.08 674.64 Tm <74656D656C6A65> Tj 0.36 Tc 1 0 0 1 303.48 662.04 Tm <6E6120> Tj 1 0 0 1 322.20 662.04 Tm <74656F72696A6920> Tj 1 0 0 1 358.20 661.68 Tm <756A65726F6A61746E6F7374692C20> Tj 1 0 0 1 428.76 660.96 Tm <74656F72696A6920> Tj 1 0 0 1 464.76 660.96 Tm <696E666F726D6163696A6120> Tj 1 0 0 1 527.40 660.60 Tm <69> Tj 0.36 Tc 1 0 0 1 303.12 648.00 Tm <6D6174656D617469696B6F6A20> Tj 1 0 0 1 372.60 647.64 Tm <7374617469737469636920> Tj 1 0 0 1 418.68 647.28 Tm <646120> Tj 1 0 0 1 435.96 646.92 Tm <626920> Tj 1 0 0 1 448.20 647.28 Tm <70726F63696A656E696C6920> Tj 1 0 0 1 504.36 646.56 Tm <73766F6A61> Tj 0.00 Tc 1 0 0 1 303.48 633.96 Tm <746572656E736B6120> Tj 1 0 0 1 362.88 633.60 Tm <6D6A6572656E6A612E20> Tj 1 0 0 1 428.40 633.24 Tm <4F6E6920> Tj 1 0 0 1 465.12 632.88 Tm <747261646963696F6E616C6E6F> Tj 0.00 Tc 1 0 0 1 303.12 620.28 Tm <75706F747265626C6A6176616A7520> Tj 1 0 0 1 386.28 619.56 Tm <7465726D696E20> Tj 1 0 0 1 430.92 618.84 Tm <2267656F66697A69696B6120> Tj 1 0 0 1 495.36 618.84 Tm <6F6272616461> Tj 0.36 Tc 1 0 0 1 301.68 606.60 Tm <706F646174616B612220> Tj 1 0 0 1 363.24 605.88 Tm <7A6120> Tj 1 0 0 1 385.56 605.52 Tm <74616A20> Tj 1 0 0 1 408.60 605.52 Tm <736B757020> Tj 1 0 0 1 441.72 605.16 Tm <6D65746F646120> Tj 1 0 0 1 486.36 605.16 Tm <70726F636A656E65> Tj 0.36 Tc 1 0 0 1 301.32 592.56 Tm <706F646174616B612C20> Tj 1 0 0 1 356.04 591.84 Tm <6E6F20> Tj 1 0 0 1 373.68 591.84 Tm <6E6520> Tj 1 0 0 1 390.60 591.48 Tm <626920> Tj 1 0 0 1 405.36 591.48 Tm <62696C6120> Tj 1 0 0 1 429.12 591.48 Tm <76656C696B6120> Tj 1 0 0 1 461.52 591.48 Tm <706F677265696B6120> Tj 1 0 0 1 512.28 590.76 Tm <6B6164> Tj 0.36 Tc 1 0 0 1 303.12 578.16 Tm <6269736D6F20> Tj 1 0 0 1 334.44 578.16 Tm <756D6A6573746F20> Tj 1 0 0 1 375.12 577.80 Tm <746F676120> Tj 1 0 0 1 399.24 577.80 Tm <72656B6C6920> Tj 1 0 0 1 425.88 576.36 Tm <2267656F6D6174656D6174696B61222E> Tj 0.00 Tc 1 0 0 1 321.48 564.12 Tm <47656F4A697A69696B6120> Tj 1 0 0 1 381.24 563.76 Tm <6F627261646120> Tj 1 0 0 1 423.00 563.76 Tm <706F646174616B6120> Tj 1 0 0 1 478.44 563.04 Tm <696D6120> Tj 1 0 0 1 504.36 562.68 Tm <73766F6A65> Tj 0.36 Tc 1 0 0 1 300.96 550.80 Tm <706F7365626E6F7374692C20> Tj 1 0 0 1 361.08 550.08 Tm <6E6520> Tj 1 0 0 1 376.20 549.72 Tm <73616D6F20> Tj 1 0 0 1 405.00 549.72 Tm <7A626F6720> Tj 1 0 0 1 432.72 549.36 Tm <6F626A656B61746120> Tj 1 0 0 1 477.00 549.36 Tm <67656F66697A69696B6968> Tj 0.00 Tc 1 0 0 1 302.76 536.40 Tm <6973747261696976616E6A612C20> Tj 1 0 0 1 366.48 536.04 Tm <6B6F6A6920> Tj 1 0 0 1 388.08 535.68 Tm <736520> Tj 1 0 0 1 402.48 536.04 Tm <72617A6C696B756A752C20> Tj 1 0 0 1 451.80 535.32 Tm <726563696D6F2C20> Tj 1 0 0 1 492.48 534.96 Tm <6F6420> Tj 1 0 0 1 508.32 534.96 Tm <6F6E6968> Tj 0.36 Tc 1 0 0 1 302.40 522.72 Tm <6D696E6572616C6F67696A6520> Tj 1 0 0 1 367.56 522.36 Tm <696C6920> Tj 1 0 0 1 378.72 522.36 Tm <706574726F6C6F67696A652E20> Tj 1 0 0 1 438.48 521.64 Tm <506F73746F6A6520> Tj 1 0 0 1 476.64 521.64 Tm <706F7365626E6F737469> Tj 0.36 Tc 1 0 0 1 302.40 508.68 Tm <6B6F6A6520> Tj 1 0 0 1 329.76 508.68 Tm <736520> Tj 1 0 0 1 348.12 508.32 Tm <6F646E6F736520> Tj 1 0 0 1 390.24 507.96 Tm <6E6120> Tj 1 0 0 1 410.04 507.96 Tm <6D65746F646F6C6F696B6920> Tj 1 0 0 1 474.48 507.60 Tm <707269737475702E20> Tj 1 0 0 1 521.64 506.88 Tm <55> Tj 0.36 Tc 1 0 0 1 302.40 495.00 Tm <766574696E6920> Tj 1 0 0 1 334.08 495.00 Tm <70726F626C656D6120> Tj 1 0 0 1 386.64 494.28 Tm <6F627261646520> Tj 1 0 0 1 424.44 494.28 Tm <67656F667A69696B696820> Tj 1 0 0 1 479.88 493.92 Tm <706F646174616B612C> Tj 0.00 Tc 1 0 0 1 299.88 478.44 Tm <66697A696B616C6E6F20> Tj 1 0 0 1 351.36 480.96 Tm <706F6C6A6520> Tj 1 0 0 1 385.56 480.60 Tm <67656F6C6F696B6F6720> Tj 1 0 0 1 444.60 479.88 Tm <6F626A656B74612C20> Tj 1 0 0 1 491.76 479.52 Tm <6B6F6A6920> Tj 1 0 0 1 518.76 479.16 Tm <7365> Tj 0.36 Tc 1 0 0 1 302.40 466.92 Tm <697374726169756A6520> Tj 1 0 0 1 350.28 467.28 Tm <706F6A6564696E696D20> Tj 1 0 0 1 407.88 466.92 Tm <67656F66697A69696B696D20> Tj 1 0 0 1 471.60 465.84 Tm <6D6A6572656E6A696D612C> Tj 0.36 Tc 1 0 0 1 302.04 453.24 Tm <6F64726564756A6520> Tj 1 0 0 1 357.84 452.88 Tm <736520> Tj 1 0 0 1 381.60 452.88 Tm <6E6120> Tj 1 0 0 1 407.16 452.52 Tm <74656D656C6A7520> Tj 1 0 0 1 455.76 452.16 Tm <64657465746D696E69737469696B65> Tj 0.36 Tc 1 0 0 1 299.52 436.68 Tm <66697A696B616C6E6520> Tj 1 0 0 1 354.60 438.84 Tm <74656F72696A652E20> Tj 1 0 0 1 399.60 438.48 Tm <44657465726D696E69737469696B6920> Tj 1 0 0 1 485.64 437.76 Tm <646F626976656E65> Tj 0.36 Tc 1 0 0 1 302.04 425.52 Tm <74656F72696A736B6520> Tj 1 0 0 1 350.64 425.16 Tm <7672696A65646E6F73746920> Tj 1 0 0 1 409.32 424.80 Tm <646F766F646520> Tj 1 0 0 1 451.08 424.08 Tm <736520> Tj 1 0 0 1 468.72 424.08 Tm <7520> Tj 1 0 0 1 482.40 423.72 Tm <6F646E6F7320> Tj 1 0 0 1 517.68 423.72 Tm <7361> Tj 0.36 Tc 1 0 0 1 301.32 411.48 Tm <73746F6861737469696B696D20> Tj 1 0 0 1 367.92 411.48 Tm <706F646163696D6120> Tj 1 0 0 1 424.44 410.76 Tm <646F626976656E696D20> Tj 1 0 0 1 482.40 410.04 Tm <746572656E736B696D> Tj 0.00 Tc 1 0 0 1 301.68 397.44 Tm <6D6A6572656E6A696D612E20> Tj 1 0 0 1 364.68 397.08 Tm <4E6120> Tj 1 0 0 1 385.56 397.08 Tm <74616A20> Tj 1 0 0 1 403.92 396.72 Tm <6E6169696E2C20> Tj 1 0 0 1 438.84 396.72 Tm <67656F66697A69696B6120> Tj 1 0 0 1 493.92 396.00 Tm <6F6272616461> Tj 0.00 Tc 1 0 0 1 299.88 384.12 Tm <706F646174616B6120> Tj 1 0 0 1 349.92 383.40 Tm <75676C61766E6F6D20> Tj 1 0 0 1 401.04 383.04 Tm <696D6120> Tj 1 0 0 1 421.56 383.04 Tm <7A6120> Tj 1 0 0 1 436.68 382.68 Tm <63696620> Tj 1 0 0 1 453.60 382.68 Tm <7072696C61676F646176616E6A65> Tj 0.00 Tc 1 0 0 1 301.32 369.72 Tm <6D6A6572656E696820> Tj 1 0 0 1 352.08 369.72 Tm <706F646174616B6120> Tj 1 0 0 1 408.24 369.00 Tm <656B73706C696369746E6F6D20> Tj 1 0 0 1 475.92 365.76 Tm <66697A696B616C6E6F6D> Tj 0.36 Tc 1 0 0 1 301.32 355.68 Tm <6D6F64656C752C20> Tj 1 0 0 1 343.80 355.68 Tm <6120> Tj 1 0 0 1 354.24 355.32 Tm <6D6174656D617469696B6520> Tj 1 0 0 1 419.04 354.96 Tm <6D65746F646520> Tj 1 0 0 1 457.92 354.60 Tm <6B6F6A6520> Tj 1 0 0 1 481.68 354.24 Tm <736520> Tj 1 0 0 1 494.64 354.60 Tm <707269746F6D> Tj 0.36 Tc 1 0 0 1 301.32 342.00 Tm <75706F747265626C6A6176616A7520> Tj 1 0 0 1 380.52 341.28 Tm <6F64616269727520> Tj 1 0 0 1 426.60 340.92 Tm <736520> Tj 1 0 0 1 445.68 340.56 Tm <7520> Tj 1 0 0 1 459.36 340.56 Tm <736B6C61647520> Tj 1 0 0 1 499.32 340.20 Tm <7320> Tj 1 0 0 1 513.00 340.20 Tm <74696D> Tj 0.36 Tc 1 0 0 1 301.32 327.96 Tm <6F736E6F746D696D20> Tj 1 0 0 1 350.28 327.60 Tm <63696C6A656D2E> Tj 0.36 Tc 1 0 0 1 319.68 313.92 Tm <4F627261646120> Tj 1 0 0 1 363.96 313.92 Tm <706F646174616B6120> Tj 1 0 0 1 419.04 313.20 Tm <7520> Tj 1 0 0 1 433.80 313.20 Tm <6E61766564656E6F6D20> Tj 1 0 0 1 496.80 312.48 Tm <736D69736C75> Tj 0.36 Tc 1 0 0 1 300.60 300.24 Tm <7376616B6F646E65766E6120> Tj 1 0 0 1 369.00 300.96 Tm <6A6520> Tj 1 0 0 1 388.44 299.52 Tm <727574696E6120> Tj 1 0 0 1 426.24 299.16 Tm <7520> Tj 1 0 0 1 440.28 299.16 Tm <766574696E6920> Tj 1 0 0 1 477.36 298.80 Tm <6D61646172736B6968> Tj 0.00 Tc 1 0 0 1 301.32 286.20 Tm <696E7374697475637C6120> Tj 1 0 0 1 352.44 285.84 Tm <6B6F6A6520> Tj 1 0 0 1 375.84 285.48 Tm <736520> Tj 1 0 0 1 389.88 285.48 Tm <6261766520> Tj 1 0 0 1 415.44 285.84 Tm <67656F66697A696B6F6D2C20> Tj 1 0 0 1 474.84 284.76 Tm <756B6C6A7569756A757469> Tj 0.00 Tc 1 0 0 1 300.96 272.16 Tm <6F20> Tj 1 0 0 1 306.72 272.16 Tm <646A20> Tj 1 0 0 1 316.08 272.16 Tm <656C6520> Tj 1 0 0 1 335.16 272.16 Tm <6E6120> Tj 1 0 0 1 352.08 271.80 Tm <7376657569696C696920> Tj 1 0 0 1 394.20 271.44 Tm <74696D612C20> Tj 1 0 0 1 424.08 271.44 Tm <697320> Tj 1 0 0 1 432.00 271.44 Tm <7472615A697661666B6520> Tj 1 0 0 1 486.36 270.72 Tm <696E7320> Tj 1 0 0 1 500.40 270.72 Tm <7469747574652C> Tj 0.00 Tc 1 0 0 1 300.96 258.48 Tm <696E64757320> Tj 1 0 0 1 326.88 258.12 Tm <7472696A20> Tj 1 0 0 1 340.92 258.12 Tm <7320> Tj 1 0 0 1 345.96 258.12 Tm <6B6520> Tj 1 0 0 1 362.16 258.12 Tm <6C616220> Tj 1 0 0 1 377.64 257.76 Tm <6F7261746F72696A20> Tj 1 0 0 1 415.08 257.76 Tm <6520> Tj 1 0 0 1 425.88 257.40 Tm <6920> Tj 1 0 0 1 432.72 257.76 Tm <7072697620> Tj 1 0 0 1 453.60 257.04 Tm <61746E6520> Tj 1 0 0 1 479.16 257.40 Tm <67656F66697A20> Tj 1 0 0 1 508.68 257.04 Tm <69696B65> Tj 0.36 Tc 1 0 0 1 300.96 244.44 Tm <747672746B652E222E> Tj 0.36 Tc 1 0 0 1 318.24 216.36 Tm <5520> Tj 1 0 0 1 334.08 216.36 Tm <6E61737461766B7520> Tj 1 0 0 1 384.48 216.00 Tm <6369746972616E6F6720> Tj 1 0 0 1 434.52 215.64 Tm <646C616E6B6120> Tj 1 0 0 1 472.68 215.28 Tm <756B7261746B6F20> Tj 1 0 0 1 516.96 214.92 Tm <7375> Tj 0.36 Tc 1 0 0 1 300.24 202.68 Tm <6F706973616E6120> Tj 1 0 0 1 347.40 202.68 Tm <706F647275646A6120> Tj 1 0 0 1 400.32 202.32 Tm <7072696D6A656E6520> Tj 1 0 0 1 454.32 201.24 Tm <6D6174656D6174696B6520> Tj 1 0 0 1 520.92 200.88 Tm <75> Tj 0.36 Tc 1 0 0 1 300.24 189.00 Tm <67656F66697A69636920> Tj 1 0 0 1 356.04 188.28 Tm <7520> Tj 1 0 0 1 376.20 188.28 Tm <4D61646172736B6F6A2E20> Tj 1 0 0 1 444.60 187.56 Tm <546F20> Tj 1 0 0 1 471.96 187.20 Tm <737520> Tj 1 0 0 1 496.44 187.20 Tm <74656F72696A61> Tj 0.36 Tc 1 0 0 1 299.88 174.60 Tm <6D6F64656C6972616E6A612C20> Tj 1 0 0 1 373.68 174.24 Tm <6F646E6F736E6F20> Tj 1 0 0 1 427.32 174.24 Tm <7072696C61676F64626520> Tj 1 0 0 1 491.76 173.16 Tm <6D6F64656C61> Tj 0.36 Tc 1 0 0 1 299.88 160.92 Tm <6D6A6572656E6A696D6120> Tj 1 0 0 1 375.84 160.20 Tm <6920> Tj 1 0 0 1 399.60 160.20 Tm <6D6F64656C6972616E6A6520> Tj 1 0 0 1 477.36 159.48 Tm <726173706F646A656C65> Tj 0.36 Tc 1 0 0 1 299.52 147.24 Tm <706F67726553616B612C20> Tj 1 0 0 1 360.00 146.88 Tm <70726F636A656E6120> Tj 1 0 0 1 410.40 146.16 Tm <7374617469737469646B696820> Tj 1 0 0 1 471.24 145.80 Tm <706172616D65746172612C> Tj 0.36 Tc 1 0 0 1 299.88 132.84 Tm <66696C74726972616E6A6520> Tj 1 0 0 1 348.48 132.48 Tm <746520> Tj 1 0 0 1 360.00 132.48 Tm <6F627261646120> Tj 1 0 0 1 395.64 132.12 Tm <736C696B612E> Tj 0.36 Tc 1 0 0 1 317.16 104.76 Tm <4E6120> Tj 1 0 0 1 334.44 104.76 Tm <74656D656C6A7520> Tj 1 0 0 1 374.04 104.40 Tm 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Madarska geoloika izmjera (engl."Hungarian Geological Survey"), Geoloikiinstitut Madarske (engl. "Geological Institut ofHungary") i Geokemijski istraiivaikiIaboratorij Madarske akademije znanosti suinstitucije u kojima geomatematiike metodeimaju iiroku primjenu. Konaino, nekerudarske i istraiivaike tvrtke, kao ito suMadarska naftna kompanija (MOL), rudarskakompanija za boksit Bakony i druge, regularnoupotrebljavaju geomatematiike metode,uglavnom za procjenu rezultata iskori|tavanja,za modeliranje odlagaliita i rezemoara te zaprocjenu resursa-".U rjednicima, ukljudujudi i one naintemetu, dosta je te5ko pronaii termingeomatematika. Npr. prema URL 3geomatematika je upotreba matematike iradunalnih tehnika u geolog|i. Drugi naziv jematematiika geologija. Sad se prirodnopoj avljuju pitanj a poput:a) Je li geomatematika geoznanost?b) Je li geomatematika dio matematike?c) Je li opravdano tefinin geomatematikavezati iskljudivo uz geologiju?Na ta pitanja poku5at iemo dati odgovor usljede6im poglavljima.3. Geolizika i geomatematikaGeofizika se ubraja u geoznanosti, aistodobno je dio fizike. Matematiiku geortzikudini razvoj i primjena matematidkih metoda itehnika na rje5avanje geofizidkih problema(URL 4). Naziv je analogan s recimomatematidkom geologijom. No, kod toganazivlja je upitno za5to se ta podrudja nenazivaju recimo geoflzidka matematika iligeoloSka matematika?U dlanku Geofuika i geomatematika uMadarskoj Laszlo Cserepes iz Odjela zageofiziku Sveudili5ta Eritvtis Lordnd uBudimpeSti (URL 5) p13e: "Geomatematika,kao posebna primjena matematiike statistikena probleme znanosti o Zemlj| ima za opti ciljdobivanje geoloikih objekata iz skapovapodataka sa "iumovima" (podaci koji sadrie l;al 47/ I sluiajne pogreike). U iirem smislu, to jetakoder osnoyni cilj geofizike, a ta iinjenicasugerira vrlo usku vezu izmedu geofizike igeomatematike.Geofiziiari vet dugo upotrebljavajurazliiite matematiike metode koje se temeljena teoriji ujerojatnosti, teoriji informacija imatematiikoj statistici da bi procijenili svojaterenska mjerenja. Oni tradicionalnoupotrebljavaju termin "geofiziika obradapodataka" za taj skup metoda procjenepodataka, no ne bi bila velika pogreika kadbismo umjesto toga rekli "geomatematika".GeoJiziika obrada podataka ima svojeposebnosti, ne samo zbog objekata geofiziikihistraiivanja, koji se razlikuju, recimo, od onihmineralogije ili petrologije. Postoje posebnostikoje se odnose na metodoloiki pristup. Uvetini problema obrade geofziikih podataka,fizikalno polje geoloikog objekta, koji seistraiuje pojedinim geofiziikim mjerenjima,odreduje se na temelju detetministiikefizikalne teorije. Deterministiiki dobiveneteorijske vrijednosti dovode se u odnos sastohastiikim podacima dobivenim terenskimmjerenjima. Na taj naiin, geofiziika obradapodataka uglavnom ima za cif prilagodavanjemjerenih podataka eksplicitnom fizikalnommodelu, a matematiike metode koje se pritomupotrebljavaju odabiru se u skladu s timosnotmim ciljem.Obrada podataka u navedenom smislusvakodnevna je rutina u vetini madarskihinstituc|a koje se bave geofizikom, ukljuiujutio dj ele na sveuiilii tima, is traZivafke ins titute,indus trij s ke lab oratorij e i priv atne geofiz iiketvrtke.".U nastavku citiranog dlanka ukratko suopisana podrudja primjene matematike ugeofizici u Madarskoj. To su teorijamodeliranja, odnosno prilagodbe modelamjerenjima i modeliranje raspodjelepogreSaka, procjena statistidkih parametara,filtriranje te obrada slika.Na temelju iznijetog, moglo bi se zakljuditikako je geofizika je znanstvena disciplina kojaproudava fizikalne pojave ia Zemlji.Matematidka geofizika je (znanost) znanstvena 34 endstream endobj 29 0 obj 3642 endobj 30 0 obj << /Length 27 >> stream % CANON_PFINF_TYPE2_TEXTON endstream endobj 31 0 obj << /Filter /FlateDecode /Length 109 >> stream xE; @ ^ Ɗ>޽fX t9 %%WH^#^[6$P ggSvi߂",9PKm .|y endstream endobj 32 0 obj << /Type /Page /MediaBox [ 0 0 595.08 841.68 ] /Parent 12 0 R /Resources << /Font << /F3 6 0 R >> /XObject << /Obj23 23 0 R /Obj24 24 0 R /Obj25 25 0 R >> /Subtype 28 0 R /ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ] >> /Contents [ 30 0 R 31 0 R 26 0 R ] >> endobj 33 0 obj << /Type /XObject /Subtype /Image /Width 826 /Height 1169 /BitsPerComponent 8 /ColorSpace /DeviceGray /Filter /DCTDecode /Length 37104 >> stream JFIFdd (B+(%%(Q:=0B`Ued_U][jxjqs[]gɺǙ(#(N++Nn]n  }!1AQa"q2#BR$3br %&'()*456789:CDEFGHIJSTUVWXYZcdefghijstuvwxyzw!1AQaq"2B #3Rbr $4%&'()*56789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz :?FFr(((4QEQEQEQIE-REQEQEQE-QEQEPi((((((((JGcOQ\sK1T#<օݩh((()i("((((J(Z()i(((((((((()ҡ=M9> 1EfDy+SQEQEQE%QEQEQERQEQEQEREQEQEQEQEQEQEQEQEQEQEQEQES_B{ӓu- +oSEQEQE%QEQEQEQIEREQEQEQEQERQEQEQEQEQEQEQEQEQE%-QES_D{M9>QEdCڵ-OEQERQ3Fh44(QLњ3Fi3Fh.h44ffњ3Fh4dQKFE4f3FEdQ2)2(dQFEdQFEdRdQ2(dQFEdQ)h(p*&r}NEjԵV(kʓB*O ??oʓQWtTo*>7T}o*>7lޣzʗzʏMQɽG@\'~7J>7J>7J>/AGڥ)~/AGe)~/AG%(D/%()| < <QI +Frp3m1֓|JTFlc3Ҝ| i<#8< :4݇PQq硥Dh18)L)\+FA pqM@'ӭ%-fuQKERE--Z()hZ(RE-QF)qE *6b%=Bn}b$ܒ>OQXg<Ҍ]H7yKT?:u3I9{TREnJuV,VץX+9Te9$ #8?!*^h3NTN{dąd(>VHWw4/F)%>_431$ *H1tg:b!q}ݹWyXl8Lcj 1?:S!9[$sߌP<=(c׾ Kl⚮Fx''4!p:I敜9d֛KE- Z(RKE-RKE- (KE-QE-%-fZ()07n8i6. *^qu7(89( [|};b('5t?=>S`Z*QXSLoi<&.O7Ih4yRqG'oI<4TG'I<4TG'Ko|_*_ɥeo|<&ɗyheo|<&ʗyhm|OOzNyJ9RsL֏h9ϯ_J9ǡ~QJ?Ltf߇sԿ1ڌvF?cF? 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1 0 0 1 270.36 34.92 Tm <3335> Tj ET endstream endobj 37 0 obj 11810 endobj 38 0 obj << /Length 39 0 R >> stream disciplina koja se bavi povezivanjemmatematike i geofizike. To je primjenamatematike na geofizidke probleme te razvolmatematidkih metoda pogodnih za takveprimjene i za formuliranj e geofizidkih teorija.Po analogrji mogli bismo zakljuditi kako jegeologija znanstvena disciplina koja se bavistjenovitim dijelovima Zemljine kore (ililitosfere) i njihovim povrjesnim razvojem, ali injihovom interakcijom s astenosferom ijezgrom. Matematidka geologija je (znanost)znanstvena disciplina koja se bavipovezivanjem matematrke i geologije. To jeprimjena matematike na geolo5ke probleme terazvoj matematidkih metoda pogodnih zatakve primjene i za formuliranje geolo5kihteorija.Geodezija je tehnika i znanost koja se baviizmjerom i prikazom Zemljine povr5ine,odredivanjem oblika Zemlje i njezina polja sileteZe. Matematidka geodezija je (znanost)znanstvena disciplina koja se bavipovezivanjem matematike i geodezije. To jeprimjena matematike na geodetske problemete razvoj matematidkih metoda pogodnih za takve primjene iza formuliranje geodetskihteorija.Po analogiji mogli bismo nastaviti naparovima: geografrja matematidkageograhja, kartografrja - matematidkakartografrja itd.To najkra6e redeno znati da jegeomatematika ta geologe primjenamatematike u geologiji, za geofizidareprimjena matematike u geofizici itd.4. Geomatematika i geornatematiiari krozdru5tva i skupineU sljede6im potpoglavljima prikazana suneka od druitava koja se bave primjenomgeomatematidkih metoda, njihovompopularizacijom, organizacrjom tematskihkongresa i tiskom publikacija, a lako ih jepronaii pretraZivanjem intemeta. Veiina njihima utj ecaj na razvoj geomatematike uHrvatskoj. Matematidka geofizika Iy1@;"'-'f- Uglavnom podrudje razvoja geomatematidke teorijeUglavnom podrudje primjene geomatematidkih metoda Sliku 1. 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Meilunarodno dru5tvo za matematiikegeoznanostiMedunarodno druStvo za matematidkegeoznanosti (engl. "International Associationfor Mathematical Geosciences", skr. IAMG) jestrudno multidisciplinarno dru5tvo s oko 600dlanova iz vi3e od 40 zemalja. Misija IAMG-aje promoviranje napretka u matematici,statistici i informatici u geoznanostima diljemsvijeta. Da bi postigao taj cilj IAMG:. organizira skupove s kratkimseminarima, terenskim obilascima i drugeaktivnosti;. izdaje publikacije o primjenimatematike u geologiji (naglasak na geologijibio je znatno veii u pro5losti, kad se Dru5tvobavilo preteZno tom znanoS6u);. suraduj e s drugim strudnimorganizacijama koje se bave primjenommatematike i statistike u znanosti iinZenj erstvu.IAMG je osnovan 1968. na 23.medunarodnom geolo5kom kongresu u Pragu,pod nazivom Medunarodno tdr:tfienje zamatematidku geologiju (engl. "InternationalAssociation for Mathematical Geologt').IAMG objavljuje novosti dva puta na godinu iodriava godi5nje konferencije. Intemetskaadresa IAMG-a je hftp://www.iamg.org (URL6). Sljedeia medunarodna konferencijaIAMG-a odriat 6e se od 29. kolovoza do 2.rujna 2010. na SveudiliStu E6tvrjs L6r6nd uBudimpeiti (URL 7). UdruZenje objavljuje trimedunarodna dasopisa: "MathematicalGeosciences " Qtrlje " Mathematical Geologt'),"Computers & Geosciences" i "NanralResources Research". Svi su citirani u bazi"Current Contents " .Zanimljiv je naziv dru5tva, koji doslovnopreveden na hrvatski jezik glasi MetlunarodnodruStvo za matematidke geoznanosti. Sto bi tobile matematidke geoznanosti?4. 2. Radna skupina za geomatematiku uKaiserslauternu, Nj emaikaRadna skupina za geomatematiku (njem."Die Arbeitsgruppe Geomathematik der Technis chen Universitdt Kais erslautern", skr."TU Kaiserslautern - AG Geomathematik')osnovana je kao odgovor na niz primjena kojeje posljednjih desetljeda uzrokovaotehnologijski napredak. Njime su u osnovlpromijenjene metode opazanja i mjerenja usvim podrudj ima inZenj erstva ugeozranostima. Suvremena radunala isatelitske tehnike dobivaju sve vede i ve6eznadenle u geoznanostima. Todnost opaLanjasve je veia, pa obrada zahtijeva odgovaraju6ematematidke modele, konstruktivneaproksimacij ske tehnike i istraiivanja anahzapodataka te numeridkih metoda. To daje ve6eznadenje geomatematici, odnosno primjenigeomatematike u geoznanostima. Spomenutaskupina za geomatematiku postavila si jezadatak napraviti most izmetlu matematidkihteorija i geotehnidkih primjena. Posebannaglasak je na razmjeni miSljenja izmetluprimijenjenih matematidara koji su vi5ezainteresirani za modeliranje, teoriju iaproksimacijske, odnosno numeridke problemes jedne strane te geofrzilara i drugih nienjerakoji se vi5e bave mjernim tehnikama,metodama obrade podataka te primjenamametoda i softvera. IstraZivanja radne skupineshematski su prlkazana na Slici 1 .Prema Slici 1 geomatematika obuhvaiamatematidki pristup problemima geofizike igeodezije. Radna skupina za geomatematikubavi se posebno istraZivanjima sljede6ihpodrudja:. Specrjalne funkcije matematidke fizike. Parcijalne diferencij alne j ednadZbeo Konsmrktivne aproksimacije. RegularizacUainverznihproblemao Numeridke metode (razvoj i primjena)o Znanstveno radunanje (engl. "ScientificComputing')Spomenimo jo5 kako radna skupina zageomatematiku na Sveudili5tu uKaiserslauternu organizira radionice. Tako jena primjer od 2. do 4. srpnja 2008. odrlanaradionica u dast 60. rodendana prof. dr. sc.Willtja Freedena. 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endstream endobj 56 0 obj 13536 endobj 57 0 obj << /Length 58 0 R >> stream \i/erkzeuqe eomathemati [,,ldthrnatiscfE Bdtondltrggeopbaikalscher und giao-ddtirher Problerne aktuelle Probleme Slika 2. Shematski prikaz geomatematiikih alata i problema (preuzeto s URL 4. 3. Geomatematiiki odsjek Madarskogageoloikog druStvaGeomatematidki odsjek Ma{larskogageolo5kog druStva ima dugu tradictjudjelovanj a i vrlo razgranatu medunarodnuaktivnost. Clanstvo je medunarodno, a jedandlan koji djeluje i u Upravnom odboru je izHrvatske. Svojim djelovanjem i trudomprodelnika prof. dr sc. Jdnosa Geigerapotaklo je 2007. osnivanje i Hrvatskogageomatematidkog odsj eka.Vjerojatno su najve6e aktivnostimailarskoga geomatematidkog odsjeka vezaneuz organizaciju kongresa madarskegeomatematike koji se tradicionalnoorganiziaju kroz aktivnosti Geolo5kogaodsjeka Sveudili5ta u Szegedu u gradiiiM6rahalomu. Godine 2009. odrZan je ve6 13.kongres madarske geomatematike, a ujedno naistome mjestu i 2. hrvatsko-madarskigeomatematidki kongres.Aktivnosti druStva oslikane su najboljekroz teme tih kongresa, a obuhvadaju (1)primijenjenu geomatematiku, geostatistiku iintegrirane geoznanstvene modele, (2)primijenjenu geofiziku, (3) teorijske pristupegeomatematici i geostatistici, (4) primjenu u hidrologiji i hidrogeologiji, (5) za5titu okoli5a iodlaganje nukleamog otpada, (6) petrologiju,(7) meteorolo5ke, khmatoloike i ekolo5kemodele, (8) primjenu stratigrafrj e, analizebazena i korelaciju, (9) geologijuugljikovodika i inZenjersku geologiju, (10)primjenu GIS-a.4. 4. Geomatematidki odsjek HrvatskogageoloSkog druitvaPri Hrvatskom geolo5kom druitvu (HGD)osnovan je 2007. godine novi Geomatematidkiodsjek. Na taj su nadin institucionalnooblikovane aktivnosti potaknute razvo1emgeomatematike u okviru hrwatske geologije,kao i vi5egodi5nja suradnja sGeomatematidkim odsjekom Madarskogageoloikog dru3tva. Smatraju6i geologiju dominantno prirodnom znanoscu, geomatematika ju povezuje s "kaljicom"prirodnih znanosti, tj matematikom,poboljiavajuii egzaktnost geoloikoga vitlenjasvijeta i pojava u podzemlju (URL 8). 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Radove objavljuju u dasopisimaGeologia Croatica, Nafta i Vijestima HGD-a,ali i drugim hrvaLskim i inozemnimdasopisima. Takoder su do sada tiskali triknjige iz podrudja geomatematike (dvj ema jeizdavad Odsjek) te organizirali dva hrvatsko-madarska geomatematidka kongresa u gradiiuM6rahalomu na jugu Madarske.Geomatematidki odsjek takocler dodjeljuj edvije vrste nagrada. Jedna je Godi5nja nagrada(u obliku diplome) koja se dodjeljuje zanajbolji rad, tezu ili knj igu dlanova Odsjekaobj avljenu te godine. Drugi je MedaljaOdsjeka koja se dodjeljuje za iznimnapostignuia u hrvatskoj geomatematici.5. Geomatematidka literaturaGeomatematidka literatura vrlo je opseZnaako se promatraju publikacije koje supojedinadno izdane u nekoj od njezinihdisciplina poput geostatistike ili neuronskihmreZa. No, publikacije koje u naslovu noseupravo rijed geomatematika znatno su rjede, aovdje su izdvojene one s kojima su se ditateljiu Hrvatskoj moZda deiie susreli ili ih proditali.5. 1 Medunarodni iasopis o geomaternaticiMedunarodni dasopis o geomatematiciGEM (engl. "GEM - International Journal onGeomathematics') izdaje Springer, podoznakama ISSN 1869-2672 (tiskana inadica) teISSN 1869-2680 (elektronska inadrca). Uiasopisu se objavljuju radovi iz primjenematematike na geoznanstvene probleme, tj.podrudja geomatematike, koja postaje svevaZnijom. Dva su razloga za to. Prvi susuvremena brza rattnala i satelitske tehnike,koje ulaze sve viSe i viSe u sve geoznanosti, adrugo razlog predstavlja sve ve6a javnazabrinutost za buduinost na5eg planeta,njegovu klimu, okoliS i odekivani nedostatakprirodnih resursa. Udinkovite strategUe oza5titi od prijetnji planetu Zemlj i mijenjaju se dobivanjem podataka sa Zemlje, iz zraka i izsvemira. Takoder, one sve bolje i kvalitetnijeobjainjavaju snaZnu potrebu za novimmatematidkim strukturama, alatima imetodama. iasopis GEM objavljujematematidke radove koji se bave:o modeliranjem Zemljina sustava(geosfera, kriosfera, hidrosfera, atmosfera,biosfera);o analitidkim, algebarskim i operatorsko-teorijskim metodama io metodama radunanja i numeridkomanalizom potrebnima za matematidku obradugeoznanstvenih problema.. Glavni urednik dasopisa je Willi Freeden.Casopis izlazi u tiskanoj i elektronidkoj verziji(uRL e).5. 2. easopis za madarsku geomatematikuiasopis za madarsku geomatematiku(engl. "Journal of HungarianGeomathematics ", skr. JHG) posveien jeokupljanju istraZivada u geomanostima kojikoriste geomatematidke alate. JHG je dasopisna intemetu sa slobodnim pristupom. Glar.naideja dasopisa bila je organizirati dasopis sfleksibilnim i jednostavnim pristupom tebrzom moguinosti objavlj ivanja.Termin geoznanost ovdje se rabi u njezinunaj5irem ma(enju, ukljudujudi sve Sto sefokusira na Zemljine procese. Prema tome,objavlj eni dlanci su bili iz podrudja geologije,geofizike, geomorfologije, hidrologije,hidrogeologije, pedologije, daljinskihistraZivanja i GIS-a. Termin geomatematikaupuiivao je autore da se u njihovimistraLivanjima odekivala jedino primjenamatematike i/ili geostatistike. Glavni urednikbio je prof. dr. sc. Jdnos Geiger (URL 10), aod 2009. godine dasopis JHG pridruZio senovome madarskom dasopisu "CentralEuropean Geologt", diji izdavad je Akad6miaiKiad6, a prije 1. sijednja 2001 . taj dasopis bioje poznat pod imenom Acta GeologicaHungarica. 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<70726F636A656E6920> Tj 1 0 0 1 102.24 486.00 Tm <6D696E6572616C6E696820> Tj 1 0 0 1 158.76 486.00 Tm <7369726F76696E612C20> Tj 1 0 0 1 204.48 486.72 Tm <28322920> Tj 1 0 0 1 222.48 486.36 Tm <6B76616E746974617469766E61> Tj 0.36 Tc 1 0 0 1 58.68 471.96 Tm <73747261746967726166696A612C20> Tj 1 0 0 1 132.48 472.68 Tm <28332920> Tj 1 0 0 1 161.64 472.32 Tm <6E656C696E65616D6920> Tj 1 0 0 1 225.00 472.32 Tm <766935656672616B74616C6E69> Tj 0.36 Tc 1 0 0 1 58.32 458.28 Tm <6D6F64656C692C20> Tj 1 0 0 1 104.40 458.64 Tm <28342920> Tj 1 0 0 1 127.44 458.28 Tm <736C6F5A656E6520> Tj 1 0 0 1 172.44 458.64 Tm <616E616C697A6520> Tj 1 0 0 1 215.28 459.00 Tm <706F646174616B612C20> Tj 1 0 0 1 271.44 459.36 Tm <283529> Tj 0.36 Tc 1 0 0 1 58.68 444.24 Tm <616E616C697A6520> Tj 1 0 0 1 96.84 444.24 Tm <7672656D656E736B696820> Tj 1 0 0 1 157.68 444.60 Tm <6E697A6F76612C20> Tj 1 0 0 1 197.64 444.96 Tm <28362920> Tj 1 0 0 1 216.00 444.60 Tm <616E616C697A6120> Tj 1 0 0 1 254.88 444.60 Tm <736C696B6120> Tj 1 0 0 1 282.24 444.96 Tm <69> Tj 0.36 Tc 1 0 0 1 58.68 430.92 Tm <28372920> Tj 1 0 0 1 75.60 430.92 Tm <67656F73746174697374696B612E> Tj 0.36 Tc 1 0 0 1 58.68 388.44 Tm <352C20> Tj 1 0 0 1 70.56 388.44 Tm <342E20> Tj 1 0 0 1 82.44 388.44 Tm <4B6E6A69676120> Tj 1 0 0 1 122.40 386.64 Tm <2248616E64626F6F6B20> Tj 1 0 0 1 182.52 388.80 Tm <6F6620> Tj 1 0 0 1 196.20 388.80 Tm <47656F6D617468656D617469637322> Tj 0.72 Tc 1 0 0 1 76.68 360.72 Tm <5A6120> Tj 1 0 0 1 107.28 360.72 Tm <6B6F6C6F766F7A20> Tj 1 0 0 1 163.80 361.08 Tm <323031302E20> Tj 1 0 0 1 208.44 361.08 Tm <6E616A61766C6A656E6F20> Tj 1 0 0 1 275.40 362.52 Tm <6A65> Tj 0.36 Tc 1 0 0 1 58.68 346.68 Tm <6F626A61766C6A6976616E6A6520> Tj 1 0 0 1 144.36 347.04 Tm <6B6E6A69676520> Tj 1 0 0 1 199.08 345.24 Tm <2248616E64626F6F6B20> Tj 1 0 0 1 276.12 347.40 Tm <6F66> Tj 0.00 Tc 1 0 0 1 59.04 333.00 Tm <47656F6D617468656D617469637320> Tj 1 0 0 1 140.76 332.28 Tm <222E20> Tj 1 0 0 1 150.12 333.00 Tm <557265646E69636920> Tj 1 0 0 1 196.92 333.36 Tm <73727420> Tj 1 0 0 1 210.96 333.36 Tm <572E20> Tj 1 0 0 1 225.36 333.36 Tm <4672656564656E2C20> Tj 1 0 0 1 272.16 333.36 Tm <4D2E> Tj 0.36 Tc 1 0 0 1 58.32 318.96 Tm <5A2E20> Tj 1 0 0 1 75.60 318.96 Tm <4E617368656420> Tj 1 0 0 1 120.24 319.32 Tm <6920> Tj 1 0 0 1 132.12 319.32 Tm <54682E20> Tj 1 0 0 1 154.80 319.32 Tm <536F6E61722E20> Tj 1 0 0 1 194.76 319.32 Tm <4B6E6A69676120> Tj 1 0 0 1 235.08 319.32 Tm <626920> Tj 1 0 0 1 252.36 319.68 Tm <74726562616C61> Tj 0.00 Tc 1 0 0 1 58.32 305.64 Tm <706F70756E69746920> Tj 1 0 0 1 107.64 305.64 Tm <7072617A6E696E7520> Tj 1 0 0 1 157.32 305.28 Tm <6F736E6F766E6520> Tj 1 0 0 1 205.56 305.64 Tm <6C6C746572616627786520> Tj 1 0 0 1 257.04 305.64 Tm <7A6120> Tj 1 0 0 1 276.12 305.64 Tm <746F> Tj 0.36 Tc 1 0 0 1 58.32 291.60 Tm <706F647275646A652C20> Tj 1 0 0 1 113.76 291.24 Tm <6F626A6564696E6A756A75366920> Tj 1 0 0 1 187.20 291.24 Tm <73616461646E6A6520> Tj 1 0 0 1 238.68 291.60 Tm <7A6E616E6A6520> Tj 1 0 0 1 279.36 291.60 Tm <6F> Tj 0.36 Tc 1 0 0 1 58.68 277.56 Tm <67656F6D6174656D617469636920> Tj 1 0 0 1 148.32 277.56 Tm <746520> Tj 1 0 0 1 176.04 277.92 Tm <7072696B617A756A75366920> Tj 1 0 0 1 249.12 277.92 Tm <707265676C6564> Tj 0.72 Tc 1 0 0 1 58.68 263.16 Tm <6B6F6E63657061746120> Tj 1 0 0 1 120.60 263.52 Tm <6920> Tj 1 0 0 1 136.44 263.52 Tm <74656F72696A612E20> Tj 1 0 0 1 182.52 263.52 Tm <646566696E6963696A6520> Tj 1 0 0 1 240.84 263.88 Tm <706F6A6D6F76612E> Tj 0.00 Tc 1 0 0 1 58.32 249.12 Tm <62696F67726166736B6520> Tj 1 0 0 1 115.56 249.48 Tm <6E6174756B6E69636520> Tj 1 0 0 1 169.20 249.48 Tm <746520> Tj 1 0 0 1 184.32 249.84 Tm <70726F66696C6520> Tj 1 0 0 1 224.64 249.48 Tm <6F7267616E697A6163696A612E> Tj 0.36 Tc 1 0 0 1 58.32 235.44 Tm <6B6E6A69676120> Tj 1 0 0 1 100.44 235.44 Tm <696520> Tj 1 0 0 1 122.40 235.44 Tm <6269746920> Tj 1 0 0 1 150.84 235.44 Tm <73766F6A6576727374616E20> Tj 1 0 0 1 216.72 236.16 Tm <766F64696420> Tj 1 0 0 1 255.24 236.16 Tm <7072656D61> Tj 0.36 Tc 1 0 0 1 58.68 221.40 Tm <697A766F72696D6120> Tj 1 0 0 1 108.00 221.76 Tm <696E666F726D6163696A6120> Tj 1 0 0 1 169.56 221.76 Tm <746520> Tj 1 0 0 1 184.68 222.12 Tm <707265676C656420> Tj 1 0 0 1 228.24 221.04 Tm <226B616A6F6C696B6120> Tj 1 0 0 1 281.88 222.12 Tm <69> Tj 0.36 Tc 1 0 0 1 58.32 207.36 Tm <6B6F6E747572612220> Tj 1 0 0 1 103.32 208.08 Tm <67656F6D6174656D6174696B652E> Tj 0.36 Tc 1 0 0 1 75.96 179.28 Tm <4E6A657A696E20> Tj 1 0 0 1 119.88 179.64 Tm <6E617374616E616B20> Tj 1 0 0 1 173.16 179.64 Tm <6F64676F766F7220> Tj 1 0 0 1 223.56 181.44 Tm <6A6520> Tj 1 0 0 1 245.52 180.00 Tm <7A626976616E6A61> Tj 0.36 Tc 1 0 0 1 58.32 165.60 Tm <74696A656B6F6D20> Tj 1 0 0 1 106.92 165.96 Tm <70726F74656B6C6120> Tj 1 0 0 1 158.04 165.96 Tm <74726920> Tj 1 0 0 1 181.08 165.96 Tm <64657365746C6A65366120> Tj 1 0 0 1 239.76 165.96 Tm <6B61646120> Tj 1 0 0 1 275.04 165.96 Tm <7375> Tj 0.36 Tc 1 0 0 1 58.68 151.92 Tm <67656F7A72616E6F73746920> Tj 1 0 0 1 124.56 151.92 Tm <62696C6520> Tj 1 0 0 1 151.92 152.28 Tm <706F6420> Tj 1 0 0 1 178.92 151.92 Tm <75746A6563616A656D20> Tj 1 0 0 1 235.08 151.92 Tm <64766120> Tj 1 0 0 1 261.00 152.28 Tm <6269746E61> Tj 0.36 Tc 1 0 0 1 58.68 137.52 Tm <7363656E6172696A612E20> Tj 1 0 0 1 107.64 137.88 Tm <5072766F2C20> Tj 1 0 0 1 136.80 137.88 Tm <7465686E6F6C6F356B6920> Tj 1 0 0 1 190.08 137.88 Tm <6E6170726564616B20> Tj 1 0 0 1 237.60 137.88 Tm <7520> Tj 1 0 0 1 247.32 137.88 Tm <63696A656C6F737469> Tj 0.72 Tc 1 0 0 1 57.24 124.92 Tm <6A6520> Tj 1 0 0 1 74.88 124.20 Tm <70726F6D696A656E696F20> Tj 1 0 0 1 135.36 123.84 Tm <7465686E696B6520> Tj 1 0 0 1 178.56 123.84 Tm <6F70615A616E6A6120> Tj 1 0 0 1 229.68 124.20 Tm <6920> Tj 1 0 0 1 240.48 124.20 Tm <6D6A6572656E6A612E> Tj 0.00 Tc 1 0 0 1 59.04 109.80 Tm <53757672656D656E6120> Tj 1 0 0 1 123.84 109.80 Tm <76726C6F20> Tj 1 0 0 1 153.00 109.80 Tm <62727A6120> Tj 1 0 0 1 184.32 109.80 Tm <726164756E616C6120> Tj 1 0 0 1 236.16 110.16 Tm <6920> Tj 1 0 0 1 249.84 110.16 Tm <7465686E696B65> Tj 0.36 Tc 1 0 0 1 58.32 95.76 Tm <7574656D656C6A656E6520> Tj 1 0 0 1 114.48 96.12 Tm <6E6120> Tj 1 0 0 1 129.24 95.76 Tm <736174656C6974696D6120> Tj 1 0 0 1 179.28 96.12 Tm <73766520> Tj 1 0 0 1 198.36 96.12 Tm <7669356520> Tj 1 0 0 1 221.40 96.12 Tm <6920> Tj 1 0 0 1 227.52 96.12 Tm <7669356520> Tj 1 0 0 1 250.20 96.12 Tm <756C617A6520> Tj 1 0 0 1 279.00 96.12 Tm <75> Tj 0.36 Tc 1 0 0 1 58.68 81.72 Tm <73766520> Tj 1 0 0 1 80.28 82.44 Tm <67656F7A6E616E6F7374692E20> Tj 1 0 0 1 145.80 82.08 Tm <447275676F2C20> Tj 1 0 0 1 185.04 82.08 Tm <73766520> Tj 1 0 0 1 206.28 82.08 Tm <7669536520> Tj 1 0 0 1 230.76 82.44 Tm <726173746520> Tj 1 0 0 1 258.12 83.88 Tm <6A61766E61> Tj 0.36 Tc 1 0 0 1 58.32 68.04 Tm <627269676120> Tj 1 0 0 1 86.76 68.04 Tm <6F20> Tj 1 0 0 1 95.40 68.04 Tm <62756475696E6F73746920> Tj 1 0 0 1 151.56 68.40 Tm <6E61356520> Tj 1 0 0 1 175.68 68.76 Tm <706C616E6574652C20> Tj 1 0 0 1 216.72 68.40 Tm <6B6C696D652C20> Tj 1 0 0 1 250.56 68.40 Tm <6F6B6F6C695361> Tj 0.36 Tc 1 0 0 1 313.56 751.32 Tm <6920> Tj 1 0 0 1 324.72 751.32 Tm <6F64656B6976616E6F6720> Tj 1 0 0 1 387.36 751.32 Tm <6E65646F737461746B6120> Tj 1 0 0 1 446.04 751.68 Tm <707269726F646E696820> Tj 1 0 0 1 498.96 751.32 Tm <7369726F76696E612E> Tj 0.36 Tc 1 0 0 1 313.56 737.28 Tm <4F6469746F2C20> Tj 1 0 0 1 353.52 737.28 Tm <6F626120> Tj 1 0 0 1 380.88 737.28 Tm <617370656B746120> Tj 1 0 0 1 426.60 737.64 Tm <7A616874696A6576616A7520> Tj 1 0 0 1 489.24 737.28 Tm <7564696E6B6F76697465> Tj 0.36 Tc 1 0 0 1 313.92 723.24 Tm <73747261746567696A6520> Tj 1 0 0 1 367.92 723.60 Tm <7A61357469746520> Tj 1 0 0 1 408.96 723.96 Tm <70726F74697620> Tj 1 0 0 1 448.20 723.60 Tm <7072696A20> Tj 1 0 0 1 465.48 723.24 Tm <657472796920> Tj 1 0 0 1 496.80 723.60 Tm <70726F6D6A656E69> Tj 0.36 Tc 1 0 0 1 313.20 709.56 Tm <5A656D6C6A652C20> Tj 1 0 0 1 360.72 709.56 Tm <6120> Tj 1 0 0 1 376.56 709.56 Tm <646F626976616E6A6520> Tj 1 0 0 1 434.16 709.20 Tm <73766520> Tj 1 0 0 1 460.08 709.20 Tm <626F6C6A696820> Tj 1 0 0 1 498.96 709.56 Tm <6920> Tj 1 0 0 1 511.92 709.20 Tm <626F6C6A6968> Tj 0.36 Tc 1 0 0 1 313.20 695.88 Tm <706F646174616B6120> Tj 1 0 0 1 360.72 695.52 Tm <7320> Tj 1 0 0 1 368.28 695.88 Tm <706F767235696E6520> Tj 1 0 0 1 413.28 695.52 Tm <5A656D6C6A652C20> Tj 1 0 0 1 453.96 695.52 Tm <727A20> Tj 1 0 0 1 465.84 695.52 Tm <7A72616B6120> Tj 1 0 0 1 495.72 695.52 Tm <6920> Tj 1 0 0 1 502.56 695.52 Tm <7376656D697261> Tj 0.36 Tc 1 0 0 1 313.56 681.48 Tm <6F626A61536E6A61766120> Tj 1 0 0 1 371.88 681.84 Tm <706F747265627520> Tj 1 0 0 1 416.16 681.48 Tm <7A6120> Tj 1 0 0 1 433.80 681.48 Tm <6E6F76696D20> Tj 1 0 0 1 471.60 681.48 Tm <6D6174656D617469646B696D> Tj 0.00 Tc 1 0 0 1 313.92 667.44 Tm <737472756B747572616D612C20> Tj 1 0 0 1 378.36 667.80 Tm <616C6174696D6120> Tj 1 0 0 1 417.96 667.80 Tm <6920> Tj 1 0 0 1 425.52 667.80 Tm <6D65746F64616D612E20> Tj 1 0 0 1 483.12 667.44 Tm <4D6174656D6174696B61> Tj 0.36 Tc 1 0 0 1 313.56 653.76 Tm <6B6F6A6120> Tj 1 0 0 1 339.84 653.76 Tm <736520> Tj 1 0 0 1 354.60 653.76 Tm <6261766920> Tj 1 0 0 1 381.24 654.12 Tm <67656F7A6E616E737476656E696D20> Tj 1 0 0 1 464.04 653.76 Tm <70726F626C656D696D612C20> Tj 1 0 0 1 530.64 653.76 Tm <746A2E> Tj 0.36 Tc 1 0 0 1 313.92 640.08 Tm <67656F6D6174656D6174696B612C20> Tj 1 0 0 1 394.56 640.08 Tm <706F7374616A6520> Tj 1 0 0 1 434.16 639.72 Tm <73766520> Tj 1 0 0 1 454.68 639.72 Tm <76615A6E696A6F6D2E20> Tj 1 0 0 1 507.60 639.72 Tm <4B6E6A696761> Tj 0.36 Tc 1 0 0 1 315.00 625.32 Tm <2248616E64626F6F6B20> Tj 1 0 0 1 374.04 625.68 Tm <6F6620> Tj 1 0 0 1 389.16 625.68 Tm <47656F6D617468656D61746963732220> Tj 1 0 0 1 479.52 625.68 Tm <62697420> Tj 1 0 0 1 497.88 625.68 Tm <696520> Tj 1 0 0 1 512.64 627.12 Tm <6A65646E6F> Tj 0.36 Tc 1 0 0 1 313.92 611.64 Tm <6F6420> Tj 1 0 0 1 332.64 611.64 Tm <7372656469536E6A696820> Tj 1 0 0 1 385.56 611.64 Tm <646A656C6120> Tj 1 0 0 1 415.08 612.00 Tm <7520> Tj 1 0 0 1 427.68 612.00 Tm <746F6D20> Tj 1 0 0 1 452.88 612.00 Tm <706F647275646A7520> Tj 1 0 0 1 502.56 611.64 Tm <6B6F6A6520> Tj 1 0 0 1 529.92 611.64 Tm <3665> Tj 0.36 Tc 1 0 0 1 313.56 597.96 Tm <696D61746920> Tj 1 0 0 1 341.64 597.96 Tm <6F6B6F20> Tj 1 0 0 1 364.32 597.96 Tm <3130303020> Tj 1 0 0 1 390.96 597.96 Tm <737472616E69636120> Tj 1 0 0 1 431.28 598.32 Tm <706F64696A656C6A656E696820> Tj 1 0 0 1 492.12 597.60 Tm <7520> Tj 1 0 0 1 502.20 597.60 Tm <736C6A6564656961> Tj 0.36 Tc 1 0 0 1 313.20 584.28 Tm <706F676C61766C6A613A20> Tj 1 0 0 1 368.28 584.28 Tm <28312920> Tj 1 0 0 1 388.80 584.28 Tm <676C61766E6520> Tj 1 0 0 1 426.96 583.92 Tm <7465686E6F6C6F67696A6520> Tj 1 0 0 1 488.88 583.92 Tm <6F706169616E6A6120> Tj 1 0 0 1 537.12 583.92 Tm <69> Tj 0.36 Tc 1 0 0 1 313.56 569.88 Tm <6D6A6572656E6A612C20> Tj 1 0 0 1 366.84 570.24 Tm <28322920> Tj 1 0 0 1 388.44 569.88 Tm <6D6F64656C6972616E6A6520> Tj 1 0 0 1 453.60 569.88 Tm <5A656D6C6A696E6120> Tj 1 0 0 1 505.44 569.88 Tm <73757374617661> Tj 0.36 Tc 1 0 0 1 313.92 556.20 Tm <2867656F73666572652C20> Tj 1 0 0 1 371.52 555.84 Tm <6B72696F73666572652C20> Tj 1 0 0 1 427.68 555.84 Tm <686964726F73666572652C20> Tj 1 0 0 1 490.32 555.84 Tm <61746D6F73666572652C> Tj 0.36 Tc 1 0 0 1 313.20 541.80 Tm <62696F7366657265292C20> Tj 1 0 0 1 375.12 542.52 Tm <28332920> Tj 1 0 0 1 404.64 541.80 Tm <616E616C697469646B652C20> Tj 1 0 0 1 470.16 541.80 Tm <616C6765626172736B6520> Tj 1 0 0 1 537.12 541.80 Tm <69> Tj 0.36 Tc 1 0 0 1 313.92 528.12 Tm <6F70657261746F72736B6F2D74656F72696A20> Tj 1 0 0 1 399.96 528.12 Tm <736B6520> Tj 1 0 0 1 420.84 528.12 Tm <6D65746F64652C20> Tj 1 0 0 1 464.76 528.48 Tm <28342920> Tj 1 0 0 1 484.20 528.12 Tm <7374617469737469646B6520> Tj 1 0 0 1 537.48 528.12 Tm <69> Tj 0.36 Tc 1 0 0 1 313.92 514.08 Tm <73746F6861737469646B6520> Tj 1 0 0 1 374.04 514.44 Tm <6D65746F64652C20> Tj 1 0 0 1 419.76 514.80 Tm <28352920> Tj 1 0 0 1 440.64 514.08 Tm <6D65746F646520> Tj 1 0 0 1 483.12 514.08 Tm <726164756E616E6A6120> Tj 1 0 0 1 537.12 514.08 Tm <69> Tj 0.36 Tc 1 0 0 1 313.56 500.40 Tm <6E756D657269646B6120> Tj 1 0 0 1 370.08 500.40 Tm <616E616C697A612C20> Tj 1 0 0 1 410.40 500.40 Tm <746520> Tj 1 0 0 1 424.44 500.76 Tm <28362920> Tj 1 0 0 1 442.44 500.76 Tm <706F76696A65736E6120> Tj 1 0 0 1 493.56 500.76 Tm <706F646C6F676120> Tj 1 0 0 1 537.12 500.40 Tm <69> Tj 0.36 Tc 1 0 0 1 313.56 487.08 Tm <7065727370656B7469766520> Tj 1 0 0 1 385.56 486.72 Tm <7A6120> Tj 1 0 0 1 412.92 486.36 Tm <62756475366E6F73742E20> Tj 1 0 0 1 482.40 486.36 Tm <4966756A696761> Tj 0.36 Tc 1 0 0 1 313.56 472.68 Tm <6E616D696A656E6A656E6120> Tj 1 0 0 1 415.80 472.68 Tm <6D6174656D617469646172696D61> Tj 0.36 Tc 1 0 0 1 313.92 459.36 Tm <67656F7A6E616E737476656E6963696D6120> Tj 1 0 0 1 408.60 459.36 Tm <2855524C20> Tj 1 0 0 1 440.64 458.64 Tm <3120> Tj 1 0 0 1 446.76 458.64 Tm <31292E> Tj 0.36 Tc 1 0 0 1 313.92 416.88 Tm <362E20> Tj 1 0 0 1 325.80 416.88 Tm <47656F6D6174656D6174696B6120> Tj 1 0 0 1 410.40 416.88 Tm <7520> Tj 1 0 0 1 420.48 416.88 Tm <6E617374617669> Tj 0.36 Tc 1 0 0 1 331.56 389.16 Tm <506F6A6564696E6920> Tj 1 0 0 1 375.12 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Glavni urednik je proldr. sc. Jdnos Haas.5.3. Monografiia "Progress inGeomathematicstlU izdanju Springera (Springer News,2008)objavljena je monografija "Progress inGeomathematics ". U njoj je objavljeno 28radova posve6enih 50. godi5nj ici publicistidkeaktivnosti u geomatematici prof. dr. sc. FritsaAgterberga. Prof. Agterberg objavio je svojprvi rad 1958. te od tada radi i neprekidnoobjavljuje dlanke sa Sirokim rasponom temaposebno za geomatematidare praktidare. Urazdoblju od 2004. do 2008. bio je predsjednikIAMG-a. U navedenoj knjizi obuhva6ena susljedeia podrudja: (1) prostome analize priprocjeni mineralnih sirovina, (2) kvantitativnastratigrafija, (3) nelineami vi5efraktalnimodeli, (4) sloZene analize podataka, (5)analize vremenskih nizova, (6) analiza slika i(7) geostatistika.5, 4. Knjiga "Handbook of Geomathematics"Za kolovoz 2010. najavljeno jeobjavljivanje knjige "Handbook ofGeomathematics ". Urednici srt W. Freeden, M.Z. Nashed i Th. Sonar. Knjiga bi trebalapopuniti prazninu osnovne llteraf'xe za topodrudje, objedinjuju6i sadadnje znanje ogeomatematici te prikazuju6i pregledkoncepata i teorija. definicije pojmova.biografske natuknice te profile organizacija.knjiga ie biti svojevrstan vodid premaizvorima informacija te pregled "kajolika ikontura" geomatematike.Njezin nastanak odgovor je zbivanjatijekom protekla tri desetlje6a kada sugeozranosti bile pod utjecajem dva bitnascenarija. Prvo, tehnolo5ki napredak u cijelostije promijenio tehnike opaZanja i mjerenja.Suvremena vrlo brza radunala i tehnikeutemeljene na satelitima sve vi5e i vi5e ulaze usve geoznanosti. Drugo, sve viSe raste javnabriga o buduinosti na5e planete, klime, okoliSa i odekivanog nedostatka prirodnih sirovina.Odito, oba aspekta zahtijevaju udinkovitestrategije za5tite protiv prij etryi promjeniZemlje, a dobivanje sve boljih i boljihpodataka s povr5ine Zemlje, rz zraka i svemiraobjaSnjava potrebu za novim matematidkimstrukturama, alatima i metodama. Matematikakoja se bavi geoznanstvenim problemima, tj.geomatematika, postaje sve vaZnijom. Knjiga"Handbook of Geomathematics" bit ie jednood srediSnjih djela u tom podrudju koje 6eimati oko 1000 stranica podijeljenih u sljedeiapoglavlja: (1) glavne tehnologije opaianja imjerenja, (2) modeliranje Zemljina sustava(geosfere, kriosfere, hidrosfere, atmosfere,biosfere), (3) analitidke, algebarske ioperatorsko-teorij ske metode, (4) statistidke istohastidke metode, (5) metode radunanja inumeridka analiza, te (6) povijesna podloga i perspektive za budu6nost. Ifujiganamijenjena matematidarimageoznanstvenicima (URL 1 1).6. Geomatematika u nastavi Pojedini dijelovi geomatematike, kao Sto jeprimjerice geostatistika, predaju se na vi5evisokoSkolskih ustanova kako u Hrvatskoj,tako i u hozemstr,u. Kako ne bismo otiSliprevi5e u Sirinu, u ovom prikazu ograniditiemo se samo na kolegije koji se zor,.u upravoGeomatematika.Na Sveuiiliftu Havaji u gradu Manoa(engl. "The University of Hawai'i at Manoa')postoji predmet GG/OCN 312:Geomathematics (URL 12). U jesen 2009.sadrZaj kolegija bio je sljede6i: uvod i pregled,obidne diferencijalne jednadZbe, linearnaalgebra i vektorska analiza. Cllj kolegija jeuvoilenje u nekoliko matematidkih predmetakoji su bitni u znanosti i inienjerstvu sprimjenama na znanost o Zemlji ioceanografiju. 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Ukupno je za nastawpredviileno 13 tjedana po 3 sata tjedno.Na diplomskom studiju Geodetskogfakulteta Sveuiili.Sta u Zagrebu postojiGeomatematika kao izborni kolegij. SadrZajkolegija je ovaj: matematika i GPS, mreZe,sludajne varijable i matrice kovarijance,nelineami problemi, lineama algebra i metodanajmanjih kvadrata, problemi s eksplicitnimrjeSenjima, GPS, prikupljanje podataka i GPS,Kalmanovi filtri. Odekuje se da 6e studentinauditi povezivatt matematidku teoriju,geodeziju i GPS. Za nastavu je predvideno 15tjedana, sa po dva sata predavanja i dva satavjeibi.Na diplomskom studiju na Odjelu zageografiju Sveuiiliita u Zadru bio jenastavnim planom iz 2005. predviiten predmetGeomatematika s ovim sadrZaj em:matematidka logika, vjerojatnost, statistikasludajna varijabla, zakoni razdtobe, planiranjestatistidkog istraZivanja, prikupljanje istatistidka obrada podataka, raspodjela podataka u razrede - tematska kartografrja,frekvencija i relatima frekvencija, aritmetidkasredina i druge sredine, standardna devijacija,pregled statistidke dokumentacije, statistidkipodaci na inte4etu, statistidki softver,statistidka analiza geoprostomih podataka,geostatistika, variogram, krigiranje,regiaizacija prostome varijable - primjenana digitalni model reljefa, analiza tenda,metoda klizne sredine, aproksimacij apolinomima, trigonomefijskim fimkcijama isplajnovima (splajn, tj. etgl. "spline", jeizmedu ostaloga naziv za matematidkukrir,ulju koja se po dijelovima sastoji odpolinoma, s tim da su u todkama spajanjasvaka dva polinoma postavljeni uvjeti naneprekidnost kako funkcije, tako i njezinihderivacija dime je postignuta " glatkoda'krilulje), korelacija, analiza regresije, linearnaregresda. Taj je kolegij trebalo podeti u ak.god. 2009./2010., no zbog promjenenastavnoga plana on vi5e ne postoji unasta\mom planu diplomskoga studija naOdjelu za geografiju Sveudili5ta t Zadru. Slika 3. 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<67656F7A6E616E6F73746920> Tj 1 0 0 1 222.48 312.48 Tm <737520> Tj 1 0 0 1 260.64 312.48 Tm <64696F> Tj 0.36 Tc 1 0 0 1 48.96 299.16 Tm <67656F6D6174656D6174696B6520> Tj 1 0 0 1 127.08 299.16 Tm <28536C696B6120> Tj 1 0 0 1 160.92 298.80 Tm <33292E20> Tj 1 0 0 1 178.20 298.80 Tm <4E6F2C20> Tj 1 0 0 1 201.24 298.80 Tm <646F6B20> Tj 1 0 0 1 222.84 300.24 Tm <6A6520> Tj 1 0 0 1 237.24 298.80 Tm <7520> Tj 1 0 0 1 248.04 298.80 Tm <6E6A696D61> Tj 0.36 Tc 1 0 0 1 48.96 284.76 Tm <74655A6935746520> Tj 1 0 0 1 87.12 284.76 Tm <6E6120> Tj 1 0 0 1 105.84 285.12 Tm <7072696D6A656E6920> Tj 1 0 0 1 153.72 284.76 Tm <6D6174656D617469646B696820> Tj 1 0 0 1 226.44 284.76 Tm <6D65746F646120> Tj 1 0 0 1 269.28 284.76 Tm <75> Tj 0.36 Tc 1 0 0 1 48.60 271.08 Tm <707265646D65746E696D> Tj 0.36 Tc 1 0 0 1 144.72 271.08 Tm <67656F7A6E616E6F73686D612C> Tj 0.36 Tc 1 0 0 1 257.40 270.72 Tm <6B6F64> Tj 0.36 Tc /F3 12.0 Tf 1 0 0 1 48.96 257.40 Tm <67656F6D6174656D6174696B6520> Tj 1 0 0 1 129.24 258.48 Tm <6A6520> Tj 1 0 0 1 147.24 256.68 Tm <757A20> Tj 1 0 0 1 166.68 257.40 Tm <7072696D6A656E752C20> Tj 1 0 0 1 221.76 257.04 Tm <6E61676C6153656E20> Tj 1 0 0 1 272.52 256.68 Tm <69> Tj 0.36 Tc 1 0 0 1 48.60 243.00 Tm <74656F72696A736B6920> Tj 1 0 0 1 91.80 243.00 Tm <72617A766F6A20> Tj 1 0 0 1 125.28 243.00 Tm <6D6174656D617469646B696820> Tj 1 0 0 1 194.04 243.00 Tm <6D65746F646120> Tj 1 0 0 1 233.28 243.00 Tm <6920> Tj 1 0 0 1 239.76 243.00 Tm <7465686E696C61> Tj 0.36 Tc 1 0 0 1 48.60 228.96 Tm <6B6F6A6520> Tj 1 0 0 1 76.68 228.96 Tm <736520> Tj 1 0 0 1 92.88 228.96 Tm <7520> Tj 1 0 0 1 105.84 228.96 Tm <74696D20> Tj 1 0 0 1 128.52 229.68 Tm <67656F7A6E616E6F7374696D6120> Tj 1 0 0 1 207.36 228.96 Tm <6B61736E696A6520> Tj 1 0 0 1 248.04 228.96 Tm <6D6F6775> Tj 0.36 Tc 1 0 0 1 48.60 215.64 Tm <7072696D6A656E6974692E> Tj 0.36 Tc 1 0 0 1 66.24 186.84 Tm <4E6120> Tj 1 0 0 1 89.64 187.20 Tm <6B72616A752C20> Tj 1 0 0 1 126.00 187.56 Tm <706F6E6F76696D6F20> Tj 1 0 0 1 182.88 188.64 Tm <6A6F3520> Tj 1 0 0 1 205.92 188.64 Tm <6A65646E6F6D20> Tj 1 0 0 1 251.64 187.20 Tm <6B616B6F> Tj 0.36 Tc 1 0 0 1 48.60 173.52 Tm <67656F6D6174656D6174696B7520> Tj 1 0 0 1 125.28 173.16 Tm <6E6520> Tj 1 0 0 1 139.68 173.16 Tm <747265626120> Tj 1 0 0 1 166.68 173.52 Tm <706F76657A697661746920> Tj 1 0 0 1 220.32 173.16 Tm <69736B6C6A756469766F20> Tj 1 0 0 1 271.08 172.80 Tm <73> Tj 0.72 Tc 1 0 0 1 48.60 159.48 Tm <67656F6C6F67696A6F6D20> Tj 1 0 0 1 118.80 159.48 Tm <696C6A20> Tj 1 0 0 1 142.92 159.12 Tm <736D61747261746A20> Tj 1 0 0 1 196.20 159.12 Tm <73696E6F6E696D6F6D20> Tj 1 0 0 1 264.60 159.12 Tm <7A61> Tj 0.36 Tc 1 0 0 1 48.60 145.08 Tm <6D6174656D617469646B7520> Tj 1 0 0 1 123.84 145.80 Tm <67656F6C6F6764752E20> Tj 1 0 0 1 185.76 145.08 Tm <4D6E6F676120> Tj 1 0 0 1 232.92 145.80 Tm <706F647275646A61> Tj 0.72 Tc 1 0 0 1 48.60 131.40 Tm <6D6174656D6174696B6520> Tj 1 0 0 1 118.44 131.40 Tm <7573706A65356E6F20> Tj 1 0 0 1 174.96 131.40 Tm <736520> Tj 1 0 0 1 198.72 131.76 Tm <7072696D6A656E6A756A7520> Tj 1 0 0 1 270.00 131.04 Tm <75> Tj 0.36 Tc 1 0 0 1 48.60 117.72 Tm <67656F7A6E616E6F7374696D612C20> Tj 1 0 0 1 136.80 117.36 Tm <6E70722E20> Tj 1 0 0 1 169.56 117.72 Tm <67656F64657A696A692C20> Tj 1 0 0 1 231.48 117.72 Tm <67656F66697A6963692C> Tj 0.36 Tc 1 0 0 1 48.60 103.32 Tm <6F6365616E6F67726166696A692C20> Tj 1 0 0 1 119.16 103.68 Tm <67656F67726166696A692C20> Tj 1 0 0 1 172.80 103.68 Tm <67656F6B656D696A6920> Tj 1 0 0 1 225.00 103.32 Tm <6920> Tj 1 0 0 1 232.20 103.32 Tm <64727567696D612C> Tj 0.00 Tc 1 0 0 1 48.60 89.64 Tm <6F74766172616A75696920> Tj 1 0 0 1 108.00 89.64 Tm <74616B6F20> Tj 1 0 0 1 140.40 89.64 Tm <767261746120> Tj 1 0 0 1 176.04 90.00 Tm <70726968766164616E6A7520> Tj 1 0 0 1 244.80 90.00 Tm <706F6A6D61> Tj 0.36 Tc 1 0 0 1 48.60 75.96 Tm <67656F6D6174656D6174696B6520> Tj 1 0 0 1 132.48 75.60 Tm <7520> Tj 1 0 0 1 150.12 75.60 Tm <736C755A62656E696D20> Tj 1 0 0 1 210.24 75.96 Tm <706F646A656C616D6120> Tj 1 0 0 1 271.80 75.60 Tm <69> Tj 0.00 Tc 1 0 0 1 48.24 61.92 Tm <6E6F6D656E6B6C61747572616D612E> Tj 0.36 Tc 1 0 0 1 304.92 744.12 Tm <4C697465726174757261> Tj 0.36 Tc 1 0 0 1 304.56 716.40 Tm <4D414C5649432C20> Tj 1 0 0 1 360.00 716.40 Tm <542E20> Tj 1 0 0 1 375.48 716.76 Tm <2832303037293A20> Tj 1 0 0 1 415.80 716.04 Tm <47656F6D6174656D6174696B612E20> Tj 1 0 0 1 499.68 715.68 Tm <56696A65737469> Tj 0.36 Tc 1 0 0 1 322.92 702.36 Tm <4872766174736B6F676120> Tj 1 0 0 1 381.24 702.72 Tm <67656F6C6F536B6F6720> Tj 1 0 0 1 433.44 702.00 Tm <647275357476612C20> Tj 1 0 0 1 474.48 702.00 Tm <34342F20> Tj 1 0 0 1 491.40 702.00 Tm <312C20> Tj 1 0 0 1 503.28 702.00 Tm <362D31352E> Tj 0.36 Tc 1 0 0 1 304.56 688.32 Tm <4D414C5649432C20> Tj 1 0 0 1 358.92 688.32 Tm <542E2C20> Tj 1 0 0 1 376.20 688.32 Tm <435645544B4F5649432C20> Tj 1 0 0 1 452.16 687.96 Tm <4D2E20> Tj 1 0 0 1 469.80 687.96 Tm <6920> Tj 1 0 0 1 477.00 687.96 Tm <42414C49432C20> Tj 1 0 0 1 519.84 687.96 Tm <442E> Tj 0.36 Tc 1 0 0 1 322.92 675.00 Tm <2832303038293A20> Tj 1 0 0 1 362.88 674.28 Tm <47656F6D6174656D617469646B6920> Tj 1 0 0 1 446.40 674.28 Tm <726A65646E696B2E20> Tj 1 0 0 1 487.44 673.92 Tm <4872766174736B6F> Tj 0.36 Tc 1 0 0 1 322.92 660.96 Tm <67656F6C6F356B6F20> Tj 1 0 0 1 380.88 660.24 Tm <6472753574766F20> Tj 1 0 0 1 452.52 659.88 Tm <47656F6D6174656D617469646B69> Tj 0.36 Tc 1 0 0 1 322.92 646.56 Tm <6F64736A656B2C20> Tj 1 0 0 1 360.00 646.56 Tm <5A61677265622C20> Tj 1 0 0 1 399.96 646.20 Tm <373420> Tj 1 0 0 1 415.08 646.20 Tm <7374722E> Tj 0.36 Tc 1 0 0 1 304.20 632.52 Tm <4E6163696F6E616C6E6F20> Tj 1 0 0 1 363.24 632.52 Tm <766C6A65746520> Tj 1 0 0 1 394.92 632.52 Tm <7A6120> Tj 1 0 0 1 408.96 632.52 Tm <7A6E616E6F737420> Tj 1 0 0 1 448.92 632.88 Tm <2832303038293A20> Tj 1 0 0 1 487.44 632.16 Tm <50726176696C6E696B> Tj 0.36 Tc 1 0 0 1 322.92 618.84 Tm <6F20> Tj 1 0 0 1 333.72 618.84 Tm <7A6E616E737476656E696D20> Tj 1 0 0 1 399.60 618.48 Tm <6920> Tj 1 0 0 1 407.52 618.48 Tm <756D6A65746E69646B696D20> Tj 1 0 0 1 473.40 618.48 Tm <706F647275646A696D612C> Tj 0.36 Tc 1 0 0 1 322.20 605.16 Tm <706F6C6A696D6120> Tj 1 0 0 1 366.84 604.80 Tm <6920> Tj 1 0 0 1 377.64 605.16 Tm <6772616E616D612C20> Tj 1 0 0 1 428.76 604.44 Tm <4E61726F646E6520> Tj 1 0 0 1 478.08 604.08 Tm <6E6F76696E6520> Tj 1 0 0 1 518.40 604.08 Tm <62722E> Tj 0.72 Tc 1 0 0 1 322.92 590.76 Tm <37382F30382E> Tj 0.36 Tc 1 0 0 1 304.20 576.72 Tm <4E6163696F6E616C6E6F20> Tj 1 0 0 1 363.24 577.08 Tm <766C6A65746520> Tj 1 0 0 1 394.92 576.72 Tm <7A6120> Tj 1 0 0 1 409.68 576.72 Tm <7A6E616E6F737420> Tj 1 0 0 1 448.92 577.08 Tm <2832303039293A20> Tj 1 0 0 1 487.44 576.36 Tm <50726176696C6E696B> Tj 0.36 Tc 1 0 0 1 322.92 562.68 Tm <6F20> Tj 1 0 0 1 333.72 562.68 Tm <7A6E616E737476656E696D20> Tj 1 0 0 1 399.60 562.68 Tm <6920> Tj 1 0 0 1 407.52 562.68 Tm <756D6A65746E69646B696D20> Tj 1 0 0 1 473.04 562.68 Tm <706F647275646A696D612C> Tj 0.36 Tc 1 0 0 1 322.20 549.36 Tm <706F6C6A696D6120> Tj 1 0 0 1 366.84 549.00 Tm <6920> Tj 1 0 0 1 377.64 549.36 Tm <6772616E616D612C20> Tj 1 0 0 1 428.76 548.28 Tm <4E61726F646E6520> Tj 1 0 0 1 478.08 548.28 Tm <6E6F76696E6520> Tj 1 0 0 1 518.40 548.28 Tm <62722E> Tj 1.50 Tc 1 0 0 1 323.64 534.96 Tm <3131382E> Tj 0.36 Tc 1 0 0 1 304.92 520.92 Tm <537072696E67657220> Tj 1 0 0 1 352.80 520.92 Tm <4E65777320> Tj 1 0 0 1 388.44 521.28 Tm <2832303038293A20> Tj 1 0 0 1 431.28 520.92 Tm <426F6E68616D2D4361727465722C20> Tj 1 0 0 1 516.96 520.56 Tm <472E2C> Tj 0.36 Tc 1 0 0 1 322.56 507.24 Tm <4368656E672C20> Tj 1 0 0 1 377.28 504.72 Tm <612E20> Tj 1 0 0 1 409.32 507.60 Tm <286564732E293A20> Tj 1 0 0 1 460.08 506.52 Tm <50726F677265737320> Tj 1 0 0 1 522.00 506.52 Tm <696E> Tj 0.36 Tc 1 0 0 1 322.56 493.20 Tm <47656F6D617468656D61746963732C20> Tj 1 0 0 1 413.28 493.20 Tm <537072696E67657220> Tj 1 0 0 1 460.08 492.84 Tm <4E65777320> Tj 1 0 0 1 495.00 492.84 Tm <392F323030382C> Tj 0.36 Tc 1 0 0 1 322.20 479.52 Tm <456172746820> Tj 1 0 0 1 351.72 479.52 Tm <536369656E63657320> Tj 1 0 0 1 396.00 479.16 Tm <2F20> Tj 1 0 0 1 402.84 479.16 Tm <47656F6772617068792C20> Tj 1 0 0 1 463.32 479.16 Tm <3130332E> Tj 0.36 Tc 1 0 0 1 304.20 437.76 Tm <496E7465726E6574736B6920> Tj 1 0 0 1 363.96 437.76 Tm <697A766F72693A> Tj 0.36 Tc 1 0 0 1 303.84 410.04 Tm <55524C20> Tj 1 0 0 1 348.84 410.04 Tm <313A20> Tj 1 0 0 1 376.20 409.68 Tm <456172746820> Tj 1 0 0 1 421.92 409.68 Tm <536369656E63652C20> Tj 1 0 0 1 480.96 409.32 Tm <57696B697065646961> Tj 0.00 Tc 1 0 0 1 321.84 396.00 Tm <6820> Tj 1 0 0 1 329.04 396.00 Tm <7420> Tj 1 0 0 1 332.28 396.00 Tm <747020> Tj 1 0 0 1 341.64 396.00 Tm <3A20> Tj 1 0 0 1 344.52 395.64 Tm <2F2F6520> Tj 1 0 0 1 357.48 395.64 Tm <6E20> Tj 1 0 0 1 367.20 395.64 Tm <7720> Tj 1 0 0 1 375.12 395.64 Tm <6920> Tj 1 0 0 1 378.36 395.64 Tm <6B20> Tj 1 0 0 1 384.48 395.64 Tm <697020> Tj 1 0 0 1 393.84 395.64 Tm <6520> Tj 1 0 0 1 398.88 395.64 Tm <646920> Tj 1 0 0 1 408.24 395.64 Tm <6120> Tj 1 0 0 1 417.60 395.64 Tm <6F20> Tj 1 0 0 1 423.36 395.64 Tm <7220> Tj 1 0 0 1 427.32 396.00 Tm <672F7720> Tj 1 0 0 1 445.68 395.64 Tm <6920> Tj 1 0 0 1 448.56 395.64 Tm <6B20> Tj 1 0 0 1 455.04 395.28 Tm <692F4520> Tj 1 0 0 1 469.44 395.28 Tm <617220> Tj 1 0 0 1 480.24 395.28 Tm <746820> Tj 1 0 0 1 489.96 392.76 Tm <5F7320> Tj 1 0 0 1 501.12 395.28 Tm <6320> Tj 1 0 0 1 506.16 395.28 Tm <696520> Tj 1 0 0 1 514.80 395.28 Tm <6E20> Tj 1 0 0 1 521.64 395.28 Tm <63> Tj 0.36 Tc 1 0 0 1 322.20 381.96 Tm <6520> Tj 1 0 0 1 330.84 384.48 Tm <2832392E20> Tj 1 0 0 1 353.52 381.96 Tm <31322E20> Tj 1 0 0 1 370.80 381.96 Tm <3230303920> Tj 1 0 0 1 394.92 381.96 Tm <2E5C> Tj 0.36 Tc 1 0 0 1 303.84 368.28 Tm <55524C20> Tj 1 0 0 1 336.24 368.28 Tm <323A20> Tj 1 0 0 1 353.52 368.28 Tm <42726972646F7373792C20> Tj 1 0 0 1 409.68 367.92 Tm <472E3A20> Tj 1 0 0 1 433.08 367.56 Tm <47656F6D617468656D617469637320> Tj 1 0 0 1 521.64 367.56 Tm <696E> Tj 0.36 Tc 1 0 0 1 321.84 354.24 Tm <48756E67617269616E20> Tj 1 0 0 1 377.28 353.88 Tm <47656F6C6F67792C20> Tj 1 0 0 1 425.88 353.88 Tm <4A6F756D616C20> Tj 1 0 0 1 465.84 353.52 Tm <6F6620> Tj 1 0 0 1 480.24 353.88 Tm <48756E67617269616E> Tj 0.36 Tc 1 0 0 1 322.20 340.20 Tm <47656F6D617468656D61746963732C20> Tj 1 0 0 1 430.92 339.84 Tm <566F6C2E20> Tj 1 0 0 1 478.80 339.84 Tm <312C20> Tj 1 0 0 1 513.00 339.84 Tm <6C2D342E> Tj 0.00 Tc 1 0 0 1 321.84 326.52 Tm <6820> Tj 1 0 0 1 328.68 323.64 Tm <4020> Tj 1 0 0 1 341.64 326.16 Tm <3A20> Tj 1 0 0 1 344.16 326.16 Tm <2F2F747420> Tj 1 0 0 1 358.56 326.16 Tm <6B20> Tj 1 0 0 1 364.68 326.16 Tm <6420> Tj 1 0 0 1 370.80 326.16 Tm <6520> Tj 1 0 0 1 376.20 326.16 Tm <342E20> Tj 1 0 0 1 384.84 326.16 Tm <7320> Tj 1 0 0 1 389.88 326.16 Tm <634C20> Tj 1 0 0 1 401.76 326.16 Tm <7520> Tj 1 0 0 1 407.88 328.32 Tm <2D20> Tj 1 0 0 1 411.48 326.16 Tm <7320> Tj 1 0 0 1 416.16 325.08 Tm <786520> Tj 1 0 0 1 425.88 326.52 Tm <6720> Tj 1 0 0 1 432.72 325.80 Tm <6520> Tj 1 0 0 1 437.76 325.80 Tm <642E20> Tj 1 0 0 1 446.76 325.80 Tm <6820> Tj 1 0 0 1 453.96 325.80 Tm <752F666F20> Tj 1 0 0 1 473.76 325.80 Tm <4920> Tj 1 0 0 1 477.00 325.80 Tm <6420> Tj 1 0 0 1 483.12 325.80 Tm <7420> Tj 1 0 0 1 486.36 325.80 Tm <616E2F6720> Tj 1 0 0 1 508.32 325.80 Tm <6520> Tj 1 0 0 1 513.72 325.80 Tm <6F20> Tj 1 0 0 1 519.84 325.80 Tm <6D> Tj 0.00 Tc 1 0 0 1 321.84 312.48 Tm <6120> Tj 1 0 0 1 327.96 312.48 Tm <7420> Tj 1 0 0 1 331.56 312.48 Tm <6520> Tj 1 0 0 1 336.60 312.48 Tm <6D20> Tj 1 0 0 1 345.96 312.48 Tm <617420> Tj 1 0 0 1 355.32 312.48 Tm <6920> Tj 1 0 0 1 358.56 312.48 Tm <6B20> Tj 1 0 0 1 364.68 312.48 Tm <616920> Tj 1 0 0 1 373.68 309.96 Tm <5F7320> Tj 1 0 0 1 384.48 311.40 Tm <7A6120> Tj 1 0 0 1 394.92 312.12 Tm <6B20> Tj 1 0 0 1 401.04 312.12 Tm <6F20> Tj 1 0 0 1 406.80 312.12 Tm <7320> Tj 1 0 0 1 411.48 311.40 Tm <7A7420> Tj 1 0 0 1 419.76 312.12 Tm <6120> Tj 1 0 0 1 425.88 312.12 Tm <6C792F494820> Tj 1 0 0 1 453.96 311.76 Tm <472F6420> Tj 1 0 0 1 471.24 311.76 Tm <65667520> Tj 1 0 0 1 487.08 311.76 Tm <7520> Tj 1 0 0 1 493.20 311.76 Tm <6C7420> Tj 1 0 0 1 502.92 312.12 Tm <6820> Tj 1 0 0 1 509.76 311.76 Tm <7420> Tj 1 0 0 1 513.00 311.76 Tm <6D> Tj 1.08 Tc 1 0 0 1 322.20 300.96 Tm <2832392E31322E323030392E5C> Tj 0.36 Tc 1 0 0 1 303.84 284.40 Tm <746C524C20> Tj 1 0 0 1 341.28 284.40 Tm <333A20> Tj 1 0 0 1 363.60 284.76 Tm <44696374696F6E6172792E636F6D277320> Tj 1 0 0 1 458.64 284.04 Tm <3231737420> Tj 1 0 0 1 492.12 284.04 Tm <43656E74757279> Tj 0.36 Tc 1 0 0 1 321.84 270.72 Tm <4C657869636F6E> Tj 0.00 Tc 1 0 0 1 321.84 256.68 Tm <6820> Tj 1 0 0 1 328.68 256.68 Tm <74747020> Tj 1 0 0 1 341.28 256.68 Tm <3A20> Tj 1 0 0 1 344.16 256.68 Tm <2F2F6420> Tj 1 0 0 1 357.84 256.68 Tm <6920> Tj 1 0 0 1 361.44 256.68 Tm <6320> Tj 1 0 0 1 366.48 256.68 Tm <746920> Tj 1 0 0 1 373.32 256.68 Tm <6F20> Tj 1 0 0 1 379.08 256.68 Tm <6E20> Tj 1 0 0 1 385.92 256.68 Tm <6120> Tj 1 0 0 1 391.68 253.80 Tm <72792E20> Tj 1 0 0 1 404.64 256.68 Tm <7220> Tj 1 0 0 1 409.68 256.32 Tm <65666520> Tj 1 0 0 1 424.08 256.32 Tm <7220> Tj 1 0 0 1 428.76 256.32 Tm <6520> Tj 1 0 0 1 433.80 256.32 Tm <6E20> Tj 1 0 0 1 441.00 256.32 Tm <6320> Tj 1 0 0 1 446.04 256.32 Tm <652E20> Tj 1 0 0 1 454.32 256.32 Tm <6320> Tj 1 0 0 1 459.72 255.96 Tm <6F20> Tj 1 0 0 1 465.84 256.32 Tm <6D2F6220> Tj 1 0 0 1 484.56 255.96 Tm <7220> Tj 1 0 0 1 489.24 255.96 Tm <6F20> Tj 1 0 0 1 495.36 255.96 Tm <7720> Tj 1 0 0 1 502.92 255.96 Tm <7320> Tj 1 0 0 1 507.96 255.96 Tm <646720> Tj 1 0 0 1 522.72 255.96 Tm <65> Tj 0.36 Tc 1 0 0 1 321.84 242.64 Tm <6F6D617468656D617469637320> Tj 1 0 0 1 393.48 243.36 Tm <2832392E20> Tj 1 0 0 1 416.52 242.64 Tm <31322E20> Tj 1 0 0 1 433.80 242.64 Tm <323030392E29> Tj 0.36 Tc 1 0 0 1 303.48 228.96 Tm <55524C20> Tj 1 0 0 1 355.68 228.96 Tm <343A20> Tj 1 0 0 1 393.48 228.60 Tm <47656F706879736963732C20> Tj 1 0 0 1 480.60 228.24 Tm <57696B697065646961> Tj 0.00 Tc 1 0 0 1 321.48 214.92 Tm <6820> Tj 1 0 0 1 328.32 212.40 Tm <4020> Tj 1 0 0 1 341.28 214.92 Tm <3A20> Tj 1 0 0 1 343.80 214.56 Tm <2F2F6520> Tj 1 0 0 1 356.76 214.92 Tm <6E2E20> Tj 1 0 0 1 366.84 214.56 Tm <7720> Tj 1 0 0 1 374.76 214.56 Tm <6920> Tj 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ZakljuiakNa temelju svega izloZenoga predlaZemoovu definiciju:Geomatematika ili matematidkageoznanost je (znanost) znanstvena disciplinakoja se bavi povezivanjem matematike igeoznanosti. To je primjena matematike nageoznanstvene probleme te rczvojmatematidkih metoda pogodnlh za takveprimjene i za formuliranje geoznanstvenihteorija. Tom znaxstvenom disciplinomproudava se matematidka piroda pojava iprocesa na Zemlji, u njoj i oko nje.Moida 6e tvrdnja da je geomatematikageoznanost nekima izgledati neobidna, nodinjenica je da se geomatematikom ne bavesamo matematidari, nego uglavnomgeoznanstvenici, dakle strudnjaci kojimamatematika nije osnormo podrudje djelovanja.Nadalje, ako su geofizika i geokemijaizdvojene kao posebne geoznanosti, bezproblema se takvo pravilo moZe primijeniti ina geomatematiku. Da je geomatematika diomatematike mislimo da ne heba posebnoobtazlagati. S druge strane, matematidkageodezlia, matematidka geologij a,matematidka kartografrj a, matematidkageofrzika, matematidka geografija i drugematematidke geoznanosti su diogeomatematike (Slika 3). No, dok je u njimateZi5te na primjeni matematidkih metoda u predmetnim geoznanoshma, kod geomatematike je uz primjenu, naglaSen iteorijski razvoj matematidkih metoda i tehnilakoje se u tim geoznanostima kasnije moguprimjeniti.Na kraju, ponovimo jo5 jednom kakogeomatematiku ne treba povezivati iskljudivo sgeologijom ilj smatratj sinonimom zamatematidku geologdu. Mnoga podrudjamatematike uspje5no se primjenjuju ugeoznanostima, npr. geodeziji, geofizici,oceanografiji, geografiji, geokemiji i drugima,otvarajuii tako vrata prihvadanju pojmageomatematike u sluZbenim podjelama inomenklaturama. LiteraturaMALVIC, T. (2007): Geomatematika. VijestiHrvatskoga geoloSkog dru5tva, 44/ 1, 6-15.MALVIC, T., CVETKOVIC, M. i BALIC, D.(2008): Geomatematidki rjednik. Hrvatskogeolo5ko dru5tvo Geomatematidkiodsjek, Zagreb, 74 str.Nacionalno vljete za znanost (2008): Pravilniko znanstvenim i umjetnidkim podrudjima,poljima i granama, Narodne novine br.78/08.Nacionalno vljete za znanost (2009): Pravilniko znanstvenim i umjetnidkim podrudjima,poljima i granama, Narodne novine br.118.Springer News (2008): Bonham-Carter, G.,Cheng, a. (eds.): Progress inGeomathematics, Springer News 9/2008,Earth Sciences / Geography, 103.Internetski izvori:URL 1: Earth Science, Wikipediah t tp : //e n w i k ip e di a o r g/w i k i/E ar th _s c ie n ce (29. 12. 2009 .\URL 2: Brirdossy, G.: Geomathematics inHungarian Geology, Joumal of HungarianGeomathematics, Vol. 1, l-4.h @ : //tt k d e 4. s cL u - s xe g e d. h u/fo I d t an/g e o ma t e m at i k ai _s za k o s zt a ly/IH G/d efu u lt h t m(29.12.2009.\tlRL 3: Dictionary.com's 21st CenturyLexiconh ttp : //d i c ti o n a ry. r efe r e n c e. c o m/b r o w s dg eomathematics (29. 12. 2009.)URL 4: Geophysics, Wikipediah @ : //e n. w i k ip e d i a. o r g/w i k i/G e o p hy s i c s(29. t2.2009.\URL 5: Cserepes, L.: Geophysics andGeomathematics in Hungary, Joumal ofHungarian Geomathematics, Vol. 1, 5-6http : //ttkde 4. s ci. u-s x,eg e d. h u/fo ldtan/g eo matem a ti k a i _s za k o s zta ly/J H G/d efu u lt h t m(29. 12. 2009 .\URL 6: Intemational Association forMathematical Geosciences - IAMGh try : //www iamg. o rg (29. 12. 2009.) 4l endstream endobj 95 0 obj 3251 endobj 96 0 obj << /Length 27 >> stream % CANON_PFINF_TYPE2_TEXTON endstream endobj 97 0 obj << /Length 100 >> stream q 595.08 0 0 841.68 0.00 0.00 cm /Obj90 Do Q q 0.188 g 486.72 0 0 722.88 46.08 30.24 cm /Obj91 Do Q endstream endobj 98 0 obj << /Type /Page /MediaBox [ 0 0 595.08 841.68 ] /Parent 12 0 R /Resources << /Font << /F3 6 0 R >> /XObject << /Obj90 90 0 R /Obj91 91 0 R >> /Subtype 94 0 R /ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ] >> /Contents [ 96 0 R 97 0 R 92 0 R ] >> endobj 99 0 obj << /Type /XObject /Subtype /Image /Width 826 /Height 1169 /BitsPerComponent 8 /ColorSpace /DeviceGray /Filter /DCTDecode /Length 29920 >> stream JFIFdd (B+(%%(Q:=0B`Ued_U][jxjqs[]gɺǙ(#(N++Nn]n  }!1AQa"q2#BR$3br %&'()*456789:CDEFGHIJSTUVWXYZcdefghijstuvwxyzw!1AQaq"2B #3Rbr $4%&'()*56789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz :?(4(((Z((((J()h()9QKEQEQEQEQEQEQEQE%QINQEQERQEQEQEQEQIE- (((((Z(()(Z(((((()(QN((((ZJ(((((((((((((((()(FA-QN((((((((((((((()h(())i)hJZ()`p-%RZZ(JZLRREQEQEQERREQEQEQERQEQEREQEQIKE%QE%-QERRRE%QEQE() "iO%%-QEQ3Fi f4fњ3Fh4dQ\њLёKLёFh"44dRњ2)r)2(ȥȤȣ4dQ2(ȣ4fёFhf2(4fњ3Fh4ff4f4fњ3Fh-()i~jY\JJ)h)G3Fh4fњ(4QFh4f(4QEQEQEQE-QEQEQEQEQKIKE%-%QEQEf(@4EƑ>-ThRR)hNҪƬ8}oD}o?*OMKtT}o*>7?mʏM?*>7dޣzʏM?*>7K?*>7(\S{}oRoQ >7AK >/AG%(D|//AG/||)|?G'|?Gޣ͓Ծkz5h_Ə5i|S@hƗ{xѽh4oo7.֍Kh޴noZ7Z]֍֍֍֍֗q}iwZ7Z7Z7Z\Z2}h'֌2}hɥɣ4fњ OZ}-jj[5IIEQMn̚_Tw`={4d0rym)|2cssNhz[tǧ~2FI`Tz<~}zR*u;nx`cFxǭ;!H#ݎ zc9qJc%Sl8lg4>@F3>) 3g)A2ѓF3⑆19)hZ(QKEREQKKERERъ(K(())\H鞵|tmLQJjӤ(J`Cu8Y })\0#xPABA?*M߻ێJ&JF4iq? 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0 1 456.48 701.64 Tm <4820> Tj 1 0 0 1 466.92 701.64 Tm <4720> Tj 1 0 0 1 473.76 701.64 Tm <2F6420> Tj 1 0 0 1 484.56 701.64 Tm <65666F20> Tj 1 0 0 1 500.04 701.64 Tm <7520> Tj 1 0 0 1 506.16 701.64 Tm <6C742E20> Tj 1 0 0 1 515.88 701.64 Tm <6820> Tj 1 0 0 1 522.72 701.64 Tm <7420> Tj 1 0 0 1 525.96 701.64 Tm <6D> Tj 1.08 Tc 1 0 0 1 334.80 688.68 Tm <2832392E20> Tj 1 0 0 1 358.20 687.96 Tm <5C322E323030392E29> Tj 0.36 Tc 1 0 0 1 316.80 673.92 Tm <55524C20> Tj 1 0 0 1 353.88 673.92 Tm <3120> Tj 1 0 0 1 359.64 673.92 Tm <313A20> Tj 1 0 0 1 379.80 673.92 Tm <48616E64626F6F6B20> Tj 1 0 0 1 441.72 673.92 Tm <6F6620> Tj 1 0 0 1 463.32 673.56 Tm <47656F6D617468656D6174696373> Tj 0.00 Tc 1 0 0 1 334.44 659.88 Tm <6820> Tj 1 0 0 1 341.64 659.88 Tm <7420> Tj 1 0 0 1 344.88 659.88 Tm <747020> Tj 1 0 0 1 354.60 659.88 Tm <3A20> Tj 1 0 0 1 357.12 659.88 Tm <2F2F7720> Tj 1 0 0 1 372.96 659.88 Tm <7720> Tj 1 0 0 1 381.24 659.88 Tm <772E20> Tj 1 0 0 1 391.68 659.88 Tm <7320> Tj 1 0 0 1 394.92 660.24 Tm <7020> Tj 1 0 0 1 402.84 659.88 Tm <7220> Tj 1 0 0 1 407.52 659.88 Tm <696E20> Tj 1 0 0 1 416.52 660.24 Tm <6720> Tj 1 0 0 1 423.72 659.88 Tm <65722E20> Tj 1 0 0 1 436.68 659.88 Tm <6320> Tj 1 0 0 1 442.08 659.88 Tm <6F20> Tj 1 0 0 1 447.48 659.88 Tm <6D2F6D20> Tj 1 0 0 1 469.80 659.88 Tm <617420> Tj 1 0 0 1 478.80 659.88 Tm <682F617020> Tj 1 0 0 1 499.68 660.24 Tm <7020> Tj 1 0 0 1 506.88 659.88 Tm <6C6920> Tj 1 0 0 1 513.72 659.88 Tm <6320> Tj 1 0 0 1 519.12 659.88 Tm <61746920> Tj 1 0 0 1 531.72 659.88 Tm <6F> Tj 0.36 Tc 1 0 0 1 334.80 646.20 Tm <6E732F626F6F563937382D332D3634322D30313534372D3220> Tj 1 0 0 1 490.68 646.92 Tm <28323920> Tj 1 0 0 1 529.92 646.20 Tm <31322E> Tj 0.36 Tc 1 0 0 1 335.16 632.16 Tm <323030392E29> Tj 0.36 Tc 1 0 0 1 316.80 618.12 Tm <55524C20> Tj 1 0 0 1 346.32 618.12 Tm <31323A20> Tj 1 0 0 1 364.68 618.12 Tm <47656F6D6174656D6174696B6120> Tj 1 0 0 1 444.60 618.12 Tm <6E6120> Tj 1 0 0 1 460.08 618.12 Tm <74686520> Tj 1 0 0 1 478.80 618.12 Tm <556E697665727369747920> Tj 1 0 0 1 533.88 618.12 Tm <6F66> Tj 0.36 Tc 1 0 0 1 334.80 604.08 Tm <4861776169276920> Tj 1 0 0 1 438.12 604.08 Tm <617420> Tj 1 0 0 1 510.48 604.08 Tm <4D616E6F61> Tj 0.00 Tc 1 0 0 1 334.80 590.04 Tm <6874747020> Tj 1 0 0 1 354.60 590.04 Tm <3A20> Tj 1 0 0 1 357.12 590.04 Tm <2F2F7777772E20> Tj 1 0 0 1 391.68 590.04 Tm <7320> Tj 1 0 0 1 396.72 590.04 Tm <6F20> Tj 1 0 0 1 402.84 590.04 Tm <6520> Tj 1 0 0 1 407.88 590.04 Tm <7320> Tj 1 0 0 1 412.92 590.04 Tm <742E20> Tj 1 0 0 1 419.04 590.04 Tm <6820> Tj 1 0 0 1 425.88 590.04 Tm <61746F20> Tj 1 0 0 1 439.92 590.04 Tm <6169692E20> Tj 1 0 0 1 455.40 590.04 Tm <6520> Tj 1 0 0 1 460.80 590.04 Tm <64752F6F20> Tj 1 0 0 1 482.76 590.04 Tm <636520> Tj 1 0 0 1 493.56 590.04 Tm <616E20> Tj 1 0 0 1 506.16 590.04 Tm <6F20> Tj 1 0 0 1 511.20 590.40 Tm <6772617020> Tj 1 0 0 1 534.60 590.04 Tm <68> Tj 0.00 Tc 1 0 0 1 333.72 576.36 Tm <792F6320> Tj 1 0 0 1 348.84 576.00 Tm <6F20> Tj 1 0 0 1 355.32 576.00 Tm <7520> Tj 1 0 0 1 361.44 576.36 Tm <7220> Tj 1 0 0 1 366.12 576.00 Tm <7320> Tj 1 0 0 1 371.16 576.00 Tm <6520> Tj 1 0 0 1 376.20 576.00 Tm <7320> Tj 1 0 0 1 380.16 576.00 Tm <2F4F20> Tj 1 0 0 1 393.48 576.00 Tm <4320> Tj 1 0 0 1 400.32 576.36 Tm <4E20> Tj 1 0 0 1 409.68 576.00 Tm <3320> Tj 1 0 0 1 415.80 576.36 Tm <3120> Tj 1 0 0 1 421.56 576.36 Tm <322F737920> Tj 1 0 0 1 441.00 576.00 Tm <6C6C6120> Tj 1 0 0 1 453.60 576.00 Tm <6220> Tj 1 0 0 1 460.08 576.00 Tm <7520> Tj 1 0 0 1 466.20 576.00 Tm <7320> Tj 1 0 0 1 470.52 576.00 Tm <4620> Tj 1 0 0 1 479.16 576.00 Tm <616C6C20> Tj 1 0 0 1 491.76 576.00 Tm <3220> Tj 1 0 0 1 498.24 576.00 Tm <3020> Tj 1 0 0 1 504.00 576.00 Tm <3020> Tj 1 0 0 1 509.76 576.00 Tm <392E7020> Tj 1 0 0 1 524.88 576.00 Tm <6466> Tj 0.72 Tc 1 0 0 1 335.16 564.48 Tm <2832392E20> Tj 1 0 0 1 358.20 562.32 Tm <31322E323030392E5C> Tj 0.36 Tc /F3 4.0 Tf 1 0 0 1 482.04 516.60 Tm <277220> Tj 1 0 0 1 486.00 516.24 Tm <272D6C7134696920> Tj 1 0 0 1 507.96 515.88 Tm <6E74276E20> Tj 1 0 0 1 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