[{"_1":2,"_1502":-5,"_1503":-5},"loaderData",{"_3":4,"_48":49,"_1478":1479,"_1480":1481,"_1487":1488},"root",{"_5":-5,"_6":-5,"_7":8,"_13":14,"_15":-5,"_16":17,"_36":37,"_38":39,"_40":39,"_41":-7,"_42":-7,"_43":44,"_45":39,"_46":-7,"_47":-7},"userBooks","user","dehydratedState",{"_9":10,"_11":12},"mutations",[],"queries",[],"visitId","414b961f-6349-4640-8ec5-4466d1d3cb11","visitorId","keys",{"_18":19,"_20":21,"_22":23,"_24":25,"_26":27,"_28":29,"_30":31,"_32":33,"_34":35},"stripeApiKey","pk_live_51ML42XINZ97i1wQxppx4m2cKj10HX3t8DBuMhJzz6iQORAJMoeNMUN8u2FA1O7qzE2h5uGikk9UHTKlG01QZ9Vdo00LsIsHfvE","recaptchaSiteKey","0x4AAAAAAABQSY38sFdvfoGP","visibleReCaptchaSiteKey","0x4AAAAAAABQSu-VQqhj17Mp","googleTagId","G-14C7WFPWJY","tiktokPixelId","CMEHIL3C77UFIL1R5A00","microsoftClarityId","jk48ry10jk","livechatLicenseId","16584726","metaPixelCode","850447020423713","cloudflareAnalytics","307139b4d5d54a9ea0ed32819373afb5","frontendUrl","https://www.gotowiec.pl","isMobileApp",false,"isMobileBrowser","appVersion","appPlatform","showPremiumWidgets",true,"isLoggedIn","sentryTrace","sentryBaggage","routes/$subjectSlug.$bookSlug",{"_50":51,"_251":252,"_1463":1464},"book",{"_52":53,"_62":63,"_66":67,"_68":69,"_70":71,"_233":234,"_55":235,"_236":237,"_238":239,"_240":-5,"_241":242,"_243":244,"_245":246,"_247":248,"_249":250},"educationStages",[54,59],{"_55":56,"_57":58},"slug","liceum-klasa-3","name","liceum, klasa 3",{"_55":60,"_57":61},"technikum-klasa-3","technikum, klasa 3","subject",{"_57":64,"_55":65},"Fizyka","fizyka","cover","https://cdn.gotowiec.pl/book-image/1af/ff2/258/27a49d899f8fcb82984af19/ozcover_9788326742750.jpg","coverThumbnail","https://cdn.gotowiec.pl/book-thumb/2ea/8b6/984/36a4428927f44d9ec2a2cba/ozcover_9788326742750.webp","pages",[72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232],4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,24,25,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,129,130,131,132,133,134,135,136,137,138,139,140,141,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,"title","Odkryć fizykę 3. Karty pracy ucznia zakres podstawowy","odkryc-fizyke-3-karty-pracy-ucznia-zakres-podstawowy","shortDescription","

Odkryć fizykę 3. Karty pracy ucznia zakres podstawowy to zeszyt ćwiczeń wydany przez Nowa Era, przeznaczony dla uczniów klas 3 liceum i technikum. Publikacja doskonale uzupełnia podręcznik pod tytułem Odkryć fizykę, dostarczając szeregu zadań praktycznych i teoretycznych z dziedziny fizyki.

Spis treści obejmuje szeroki zakres tematów, rozpoczynając od zagadnień dotyczących termodynamiki, takich jak cząsteczki i energia, rozszerzalność cieplna, ciepło właściwe, przemiany fazowe, ciepło topnienia i parowania, bilans cieplny, a kończąc na wartości energetycznej. Następnie, książka przechodzi do drgań i fal, omawiając prawa Hooke’a, opis ruchu drgającego, wahadło sprężynowe, fale mechaniczne i dźwiękowe oraz fale elektromagnetyczne. Kolejna część skupia się na zjawiskach falowych i fizyce atomowej, przedstawiając między innymi powierzchnie falowe, odbicie fali, rozpraszanie, oraz zjawiska takie jak dyfrakcja czy interferencja światła. Rozdział kończy się omówieniem fizyki jądrowej, gwiazd i Wszechświata, w tym budowy jądra atomowego i promieniowania jądrowego.

Zapewniamy gotowe odpowiedzi do książki 'Odkryć fizykę 3. Karty pracy ucznia zakres podstawowy', aby ułatwić uczniom przygotowania do sprawdzianów i egzaminów. Dostępne są w formie PDF, które szczegółowo omawiają każde zadanie, pomagając w lepszym zrozumieniu tematu i skutecznym przyswajaniu wiedzy.

","longDescription","

Podręcznik Odkryć fizykę 3. Karty pracy ucznia zakres podstawowy od wydawnictwa Nowa Era, dedykowany dla uczniów trzecich klas liceum oraz technikum, jest kluczowym zasobem dla młodych naukowców pragnących zgłębić tajniki fizyki na poziomie podstawowym. W skład tej publikacji wchodzą nie tylko szczegółowe wyjaśnienia teoretyczne, ale również bogaty zestaw zadań praktycznych, które pomagają zrozumieć i przyswoić materiał na głębszym poziomie.

Rozpoczynając od Rozdziału 7. Termodynamika, książka oferuje czytelnikowi możliwość nauki o cząsteczkach i energii, rozszerzalności cieplnej i cieple właściwym aż po zjawiska takie jak przemiany fazowe czy ciepło topnienia i parowania. Każdy z tych działów zawiera zadania, które ułatwiają utrwalenie wiedzy i są niezwykle pomocne do zadawania pytania, przygotowania na egzaminy, a także rozwijania umiejętności analitycznych i eksperymentalnych uczniów.

Kolejny niezbędny rozdział, Rozdział 8. Drgania i fale, porusza zagadnienia od Prawa Hooke’a, przez różne rodzaje drgań jak drgania wymuszone i rezonans, aż po fale mechaniczne, dźwiękowe, i elektromagnetyczne. Tutaj również znaleźć można wiele zadań aplikacyjnych wspierających naukę oraz dzienniki laboratoryjne, które są integralną częścią nauki praktycznej.

W Rozdziale 9. Zjawiska falowe, uczniowie zaznajamiają się z podstawami rozchodzenia fal, takimi jak odbicie, rozpraszanie, czy załamanie oraz inne zjawiska takie jak dyfrakcja czy interferencja. Rozdział ten, podobnie jak poprzednie, jest wypełniony praktycznymi zadaniami i kartami powtórzeniowymi, które pomagają zrozumieć omawiane koncepcje na praktycznym poziomie.

Przechodząc do bardziej zaawansowanych zagadnień, Rozdział 10. Fizyka atomowa oraz Rozdział 11. Fizyka jądrowa, uczniowie mogą zgłębić wiedzę na temat natury światła, promieniowania termicznego, budowy jądra atomowego oraz zasad rządzących gwiazdami i wszechświatem. Te rozdziały są szczególnie przydatne dla tych, którzy chcą rozwinąć swoją wiedzę w sposób krytyczny i analityczny.

Dla tych, którzy szukają odrobionych zadań do podręcznika Odkryć fizykę 3. Karty pracy ucznia zakres podstawowy albo PDF z odpowiedziami do książki, gotowiec.pl oferuje bogaty zbiór rozwiązań, które są doskonale dostosowane do treści oraz wymogów edukacyjnych. Pozwala to na błyskawiczne sprawdzenie zrozumienia materiału i jest nieocenione podczas przygotowań do egzaminów lub przyswajania nowej wiedzy.

","seriesTitle","type","exercisebook","publisher","Nowa Era","authors","Izabela Kondratowicz, Bartłomiej Piotrowski","number","9788326742750","publicationDate","2021-01-01T00:00:00+01:00","bookTOC",[253,268,276,283,290,299,304,311,316,323,332,343,348,355,360,367,374,383,390,395,400,405,412,417,426,439,446,451,458,463,470,479,492,497,504,511,520,527,532,539,546,553,558,565,572,579,588,597,604,613,624,637,642,651,658,663,668,673,686,697,704,713,720,729,736,743,752,757,764,772,781,790,795,806,817,826,833,842,851,860,865,872,879,886,893,900,907,914,921,926,931,946,951,956,961,966,973,982,989,1000,1005,1010,1017,1022,1029,1039,1046,1053,1060,1071,1076,1085,1092,1099,1106,1113,1118,1129,1134,1139,1144,1157,1164,1173,1180,1189,1198,1203,1210,1219,1232,1239,1250,1259,1264,1271,1276,1283,1290,1297,1304,1315,1320,1327,1336,1345,1352,1361,1368,1377,1382,1393,1400,1405,1414,1423,1428,1433,1438,1443,1456],{"_254":255,"_256":-5,"_257":258},"pageNumber","4","sectionName","solutions",[259,265],{"_55":260,"_57":260,"_261":262},"1","defaultAnswer",{"_263":264},"position",2,{"_55":266,"_57":266,"_261":267},"2",{"_263":264},{"_254":269,"_256":-5,"_257":270},"5",[271,274],{"_55":272,"_57":272,"_261":273},"3",{"_263":264},{"_55":255,"_57":255,"_261":275},{"_263":264},{"_254":277,"_256":-5,"_257":278},"6",[279],{"_55":280,"_57":281,"_261":282},"na-wyrywki","Na wyrywki",{"_263":264},{"_254":284,"_256":-5,"_257":285},"7",[286,288],{"_55":260,"_57":260,"_261":287},{"_263":264},{"_55":266,"_57":266,"_261":289},{"_263":264},{"_254":291,"_256":-5,"_257":292},"8",[293,295,297],{"_55":272,"_57":272,"_261":294},{"_263":264},{"_55":255,"_57":255,"_261":296},{"_263":264},{"_55":269,"_57":269,"_261":298},{"_263":264},{"_254":300,"_256":-5,"_257":301},"9",[302],{"_55":280,"_57":281,"_261":303},{"_263":264},{"_254":305,"_256":-5,"_257":306},"10",[307,309],{"_55":260,"_57":260,"_261":308},{"_263":264},{"_55":266,"_57":266,"_261":310},{"_263":264},{"_254":312,"_256":-5,"_257":313},"11",[314],{"_55":272,"_57":272,"_261":315},{"_263":264},{"_254":317,"_256":-5,"_257":318},"12",[319,321],{"_55":255,"_57":255,"_261":320},{"_263":264},{"_55":280,"_57":281,"_261":322},{"_263":264},{"_254":324,"_256":-5,"_257":325},"13",[326,328,330],{"_55":260,"_57":260,"_261":327},{"_263":264},{"_55":266,"_57":266,"_261":329},{"_263":264},{"_55":272,"_57":272,"_261":331},{"_263":264},{"_254":333,"_256":-5,"_257":334},"14",[335,337,339,341],{"_55":255,"_57":255,"_261":336},{"_263":264},{"_55":269,"_57":269,"_261":338},{"_263":264},{"_55":277,"_57":277,"_261":340},{"_263":264},{"_55":284,"_57":284,"_261":342},{"_263":264},{"_254":344,"_256":-5,"_257":345},"15",[346],{"_55":280,"_57":281,"_261":347},{"_263":264},{"_254":349,"_256":-5,"_257":350},"16",[351,353],{"_55":260,"_57":260,"_261":352},{"_263":264},{"_55":266,"_57":266,"_261":354},{"_263":264},{"_254":356,"_256":-5,"_257":357},"17",[358],{"_55":272,"_57":272,"_261":359},{"_263":264},{"_254":361,"_256":-5,"_257":362},"18",[363,365],{"_55":255,"_57":255,"_261":364},{"_263":264},{"_55":280,"_57":281,"_261":366},{"_263":264},{"_254":368,"_256":-5,"_257":369},"19",[370,372],{"_55":260,"_57":260,"_261":371},{"_263":264},{"_55":266,"_57":266,"_261":373},{"_263":264},{"_254":375,"_256":-5,"_257":376},"22",[377,379,381],{"_55":260,"_57":260,"_261":378},{"_263":264},{"_55":266,"_57":266,"_261":380},{"_263":264},{"_55":272,"_57":272,"_261":382},{"_263":264},{"_254":384,"_256":-5,"_257":385},"23",[386,388],{"_55":255,"_57":255,"_261":387},{"_263":264},{"_55":269,"_57":269,"_261":389},{"_263":264},{"_254":391,"_256":-5,"_257":392},"24",[393],{"_55":280,"_57":281,"_261":394},{"_263":264},{"_254":396,"_256":-5,"_257":397},"25",[398],{"_55":260,"_57":260,"_261":399},{"_263":264},{"_254":401,"_256":-5,"_257":402},"26",[403],{"_55":266,"_57":266,"_261":404},{"_263":264},{"_254":406,"_256":-5,"_257":407},"27",[408,410],{"_55":272,"_57":272,"_261":409},{"_263":264},{"_55":255,"_57":255,"_261":411},{"_263":264},{"_254":413,"_256":-5,"_257":414},"28",[415],{"_55":280,"_57":281,"_261":416},{"_263":264},{"_254":418,"_256":-5,"_257":419},"29",[420,422,424],{"_55":260,"_57":260,"_261":421},{"_263":264},{"_55":266,"_57":266,"_261":423},{"_263":264},{"_55":272,"_57":272,"_261":425},{"_263":264},{"_254":427,"_256":-5,"_257":428},"31",[429,431,433,435,437],{"_55":260,"_57":260,"_261":430},{"_263":264},{"_55":266,"_57":266,"_261":432},{"_263":264},{"_55":272,"_57":272,"_261":434},{"_263":264},{"_55":255,"_57":255,"_261":436},{"_263":264},{"_55":269,"_57":269,"_261":438},{"_263":264},{"_254":440,"_256":-5,"_257":441},"32",[442,444],{"_55":255,"_57":255,"_261":443},{"_263":264},{"_55":269,"_57":269,"_261":445},{"_263":264},{"_254":447,"_256":-5,"_257":448},"33",[449],{"_55":280,"_57":281,"_261":450},{"_263":264},{"_254":452,"_256":-5,"_257":453},"34",[454],{"_55":455,"_57":456,"_261":457},"uporzadkuj-swoja-wiedze","Uporządkuj swoją wiedzę",{"_263":264},{"_254":459,"_256":-5,"_257":460},"35",[461],{"_55":455,"_57":456,"_261":462},{"_263":264},{"_254":464,"_256":-5,"_257":465},"36",[466],{"_55":467,"_57":468,"_261":469},"dziennik-laboratoryjny","Dziennik laboratoryjny",{"_263":264},{"_254":471,"_256":-5,"_257":472},"38",[473,475,477],{"_55":260,"_57":260,"_261":474},{"_263":264},{"_55":266,"_57":266,"_261":476},{"_263":264},{"_55":272,"_57":272,"_261":478},{"_263":264},{"_254":480,"_256":-5,"_257":481},"39",[482,484,486,488,490],{"_55":255,"_57":255,"_261":483},{"_263":264},{"_55":269,"_57":269,"_261":485},{"_263":264},{"_55":277,"_57":277,"_261":487},{"_263":264},{"_55":284,"_57":284,"_261":489},{"_263":264},{"_55":291,"_57":291,"_261":491},{"_263":264},{"_254":493,"_256":-5,"_257":494},"40",[495],{"_55":260,"_57":260,"_261":496},{"_263":264},{"_254":498,"_256":-5,"_257":499},"41",[500,502],{"_55":266,"_57":266,"_261":501},{"_263":264},{"_55":272,"_57":272,"_261":503},{"_263":264},{"_254":505,"_256":-5,"_257":506},"42",[507,509],{"_55":255,"_57":255,"_261":508},{"_263":264},{"_55":280,"_57":281,"_261":510},{"_263":264},{"_254":512,"_256":-5,"_257":513},"43",[514,516,518],{"_55":260,"_57":260,"_261":515},{"_263":264},{"_55":266,"_57":266,"_261":517},{"_263":264},{"_55":272,"_57":272,"_261":519},{"_263":264},{"_254":521,"_256":-5,"_257":522},"44",[523,525],{"_55":255,"_57":255,"_261":524},{"_263":264},{"_55":269,"_57":269,"_261":526},{"_263":264},{"_254":528,"_256":-5,"_257":529},"45",[530],{"_55":280,"_57":281,"_261":531},{"_263":264},{"_254":533,"_256":-5,"_257":534},"46",[535,537],{"_55":260,"_57":260,"_261":536},{"_263":264},{"_55":266,"_57":266,"_261":538},{"_263":264},{"_254":540,"_256":-5,"_257":541},"47",[542,544],{"_55":272,"_57":272,"_261":543},{"_263":264},{"_55":255,"_57":255,"_261":545},{"_263":264},{"_254":547,"_256":-5,"_257":548},"48",[549,551],{"_55":269,"_57":269,"_261":550},{"_263":264},{"_55":277,"_57":277,"_261":552},{"_263":264},{"_254":554,"_256":-5,"_257":555},"49",[556],{"_55":280,"_57":281,"_261":557},{"_263":264},{"_254":559,"_256":-5,"_257":560},"50",[561,563],{"_55":260,"_57":260,"_261":562},{"_263":264},{"_55":266,"_57":266,"_261":564},{"_263":264},{"_254":566,"_256":-5,"_257":567},"51",[568,570],{"_55":272,"_57":272,"_261":569},{"_263":264},{"_55":255,"_57":255,"_261":571},{"_263":264},{"_254":573,"_256":-5,"_257":574},"52",[575,577],{"_55":269,"_57":269,"_261":576},{"_263":264},{"_55":280,"_57":281,"_261":578},{"_263":264},{"_254":580,"_256":-5,"_257":581},"53",[582,584,586],{"_55":260,"_57":260,"_261":583},{"_263":264},{"_55":266,"_57":266,"_261":585},{"_263":264},{"_55":272,"_57":272,"_261":587},{"_263":264},{"_254":589,"_256":-5,"_257":590},"54",[591,593,595],{"_55":255,"_57":255,"_261":592},{"_263":264},{"_55":269,"_57":269,"_261":594},{"_263":264},{"_55":277,"_57":277,"_261":596},{"_263":264},{"_254":598,"_256":-5,"_257":599},"55",[600,602],{"_55":284,"_57":284,"_261":601},{"_263":264},{"_55":280,"_57":281,"_261":603},{"_263":264},{"_254":605,"_256":-5,"_257":606},"56",[607,609,611],{"_55":260,"_57":260,"_261":608},{"_263":264},{"_55":266,"_57":266,"_261":610},{"_263":264},{"_55":272,"_57":272,"_261":612},{"_263":264},{"_254":614,"_256":-5,"_257":615},"57",[616,618,620,622],{"_55":255,"_57":255,"_261":617},{"_263":264},{"_55":269,"_57":269,"_261":619},{"_263":264},{"_55":277,"_57":277,"_261":621},{"_263":264},{"_55":284,"_57":284,"_261":623},{"_263":264},{"_254":625,"_256":-5,"_257":626},"59",[627,629,631,633,635],{"_55":260,"_57":260,"_261":628},{"_263":264},{"_55":266,"_57":266,"_261":630},{"_263":264},{"_55":272,"_57":272,"_261":632},{"_263":264},{"_55":255,"_57":255,"_261":634},{"_263":264},{"_55":269,"_57":269,"_261":636},{"_263":264},{"_254":638,"_256":-5,"_257":639},"60",[640],{"_55":280,"_57":281,"_261":641},{"_263":264},{"_254":643,"_256":-5,"_257":644},"61",[645,647,649],{"_55":260,"_57":260,"_261":646},{"_263":264},{"_55":266,"_57":266,"_261":648},{"_263":264},{"_55":272,"_57":272,"_261":650},{"_263":264},{"_254":652,"_256":-5,"_257":653},"62",[654,656],{"_55":255,"_57":255,"_261":655},{"_263":264},{"_55":269,"_57":269,"_261":657},{"_263":264},{"_254":659,"_256":-5,"_257":660},"63",[661],{"_55":280,"_57":281,"_261":662},{"_263":264},{"_254":664,"_256":-5,"_257":665},"64",[666],{"_55":455,"_57":456,"_261":667},{"_263":264},{"_254":669,"_256":-5,"_257":670},"65",[671],{"_55":455,"_57":456,"_261":672},{"_263":264},{"_254":674,"_256":-5,"_257":675},"68",[676,678,680,682,684],{"_55":260,"_57":260,"_261":677},{"_263":264},{"_55":266,"_57":266,"_261":679},{"_263":264},{"_55":272,"_57":272,"_261":681},{"_263":264},{"_55":255,"_57":255,"_261":683},{"_263":264},{"_55":269,"_57":269,"_261":685},{"_263":264},{"_254":687,"_256":-5,"_257":688},"69",[689,691,693,695],{"_55":277,"_57":277,"_261":690},{"_263":264},{"_55":284,"_57":284,"_261":692},{"_263":264},{"_55":291,"_57":291,"_261":694},{"_263":264},{"_55":300,"_57":300,"_261":696},{"_263":264},{"_254":698,"_256":-5,"_257":699},"70",[700,702],{"_55":260,"_57":260,"_261":701},{"_263":264},{"_55":266,"_57":266,"_261":703},{"_263":264},{"_254":705,"_256":-5,"_257":706},"71",[707,709,711],{"_55":272,"_57":272,"_261":708},{"_263":264},{"_55":255,"_57":255,"_261":710},{"_263":264},{"_55":269,"_57":269,"_261":712},{"_263":264},{"_254":714,"_256":-5,"_257":715},"72",[716,718],{"_55":277,"_57":277,"_261":717},{"_263":264},{"_55":280,"_57":281,"_261":719},{"_263":264},{"_254":721,"_256":-5,"_257":722},"73",[723,725,727],{"_55":260,"_57":260,"_261":724},{"_263":264},{"_55":266,"_57":266,"_261":726},{"_263":264},{"_55":272,"_57":272,"_261":728},{"_263":264},{"_254":730,"_256":-5,"_257":731},"74",[732,734],{"_55":255,"_57":255,"_261":733},{"_263":264},{"_55":269,"_57":269,"_261":735},{"_263":264},{"_254":737,"_256":-5,"_257":738},"75",[739,741],{"_55":277,"_57":277,"_261":740},{"_263":264},{"_55":280,"_57":281,"_261":742},{"_263":264},{"_254":744,"_256":-5,"_257":745},"76",[746,748,750],{"_55":260,"_57":260,"_261":747},{"_263":264},{"_55":266,"_57":266,"_261":749},{"_263":264},{"_55":272,"_57":272,"_261":751},{"_263":264},{"_254":753,"_256":-5,"_257":754},"77",[755],{"_55":255,"_57":255,"_261":756},{"_263":264},{"_254":758,"_256":-5,"_257":759},"78",[760,762],{"_55":269,"_57":269,"_261":761},{"_263":264},{"_55":280,"_57":281,"_261":763},{"_263":264},{"_254":765,"_256":-5,"_257":766},"79",[767,769],{"_55":260,"_57":260,"_261":768},{"_263":264},{"_55":266,"_57":266,"_261":770},{"_263":771},1,{"_254":773,"_256":-5,"_257":774},"81",[775,777,779],{"_55":260,"_57":260,"_261":776},{"_263":264},{"_55":266,"_57":266,"_261":778},{"_263":264},{"_55":272,"_57":272,"_261":780},{"_263":264},{"_254":782,"_256":-5,"_257":783},"82",[784,786,788],{"_55":272,"_57":272,"_261":785},{"_263":264},{"_55":255,"_57":255,"_261":787},{"_263":264},{"_55":269,"_57":269,"_261":789},{"_263":264},{"_254":791,"_256":-5,"_257":792},"83",[793],{"_55":280,"_57":281,"_261":794},{"_263":264},{"_254":796,"_256":-5,"_257":797},"84",[798,802],{"_55":799,"_57":800,"_261":801},"zadanie-1","Zadanie 1",{"_263":264},{"_55":803,"_57":804,"_261":805},"zadanie-2","Zadanie 2",{"_263":264},{"_254":807,"_256":-5,"_257":808},"85",[809,813],{"_55":810,"_57":811,"_261":812},"zadanie-3","Zadanie 3",{"_263":264},{"_55":814,"_57":815,"_261":816},"zadanie-4","Zadanie 4",{"_263":264},{"_254":818,"_256":-5,"_257":819},"86",[820,822],{"_55":280,"_57":281,"_261":821},{"_263":264},{"_55":823,"_57":824,"_261":825},"zadanie-5","Zadanie 5",{"_263":264},{"_254":827,"_256":-5,"_257":828},"87",[829,831],{"_55":799,"_57":800,"_261":830},{"_263":264},{"_55":803,"_57":804,"_261":832},{"_263":264},{"_254":834,"_256":-5,"_257":835},"88",[836,838,840],{"_55":810,"_57":811,"_261":837},{"_263":264},{"_55":814,"_57":815,"_261":839},{"_263":264},{"_55":823,"_57":824,"_261":841},{"_263":264},{"_254":843,"_256":-5,"_257":844},"89",[845,847],{"_55":280,"_57":281,"_261":846},{"_263":264},{"_55":848,"_57":849,"_261":850},"zadanie-6","Zadanie 6",{"_263":264},{"_254":852,"_256":-5,"_257":853},"90",[854,856,858],{"_55":799,"_57":800,"_261":855},{"_263":264},{"_55":803,"_57":804,"_261":857},{"_263":264},{"_55":810,"_57":811,"_261":859},{"_263":264},{"_254":861,"_256":-5,"_257":862},"91",[863],{"_55":814,"_57":815,"_261":864},{"_263":264},{"_254":866,"_256":-5,"_257":867},"92",[868,870],{"_55":280,"_57":281,"_261":869},{"_263":264},{"_55":823,"_57":824,"_261":871},{"_263":264},{"_254":873,"_256":-5,"_257":874},"93",[875,877],{"_55":799,"_57":800,"_261":876},{"_263":264},{"_55":803,"_57":804,"_261":878},{"_263":264},{"_254":880,"_256":-5,"_257":881},"94",[882,884],{"_55":810,"_57":811,"_261":883},{"_263":264},{"_55":814,"_57":815,"_261":885},{"_263":264},{"_254":887,"_256":-5,"_257":888},"95",[889,891],{"_55":280,"_57":281,"_261":890},{"_263":264},{"_55":823,"_57":824,"_261":892},{"_263":264},{"_254":894,"_256":-5,"_257":895},"96",[896,898],{"_55":799,"_57":800,"_261":897},{"_263":264},{"_55":803,"_57":804,"_261":899},{"_263":264},{"_254":901,"_256":-5,"_257":902},"97",[903,905],{"_55":810,"_57":811,"_261":904},{"_263":264},{"_55":814,"_57":815,"_261":906},{"_263":264},{"_254":908,"_256":-5,"_257":909},"98",[910,912],{"_55":280,"_57":281,"_261":911},{"_263":264},{"_55":823,"_57":824,"_261":913},{"_263":264},{"_254":915,"_256":-5,"_257":916},"99",[917,919],{"_55":799,"_57":800,"_261":918},{"_263":264},{"_55":803,"_57":804,"_261":920},{"_263":264},{"_254":922,"_256":-5,"_257":923},"100",[924],{"_55":810,"_57":811,"_261":925},{"_263":264},{"_254":927,"_256":-5,"_257":928},"101",[929],{"_55":814,"_57":815,"_261":930},{"_263":264},{"_254":932,"_256":-5,"_257":933},"102",[934,936,938,942],{"_55":823,"_57":824,"_261":935},{"_263":264},{"_55":848,"_57":849,"_261":937},{"_263":264},{"_55":939,"_57":940,"_261":941},"zadanie-7","Zadanie 7",{"_263":264},{"_55":943,"_57":944,"_261":945},"zadanie-8","Zadanie 8",{"_263":264},{"_254":947,"_256":-5,"_257":948},"103",[949],{"_55":280,"_57":281,"_261":950},{"_263":264},{"_254":952,"_256":-5,"_257":953},"104",[954],{"_55":455,"_57":456,"_261":955},{"_263":264},{"_254":957,"_256":-5,"_257":958},"105",[959],{"_55":455,"_57":456,"_261":960},{"_263":264},{"_254":962,"_256":-5,"_257":963},"106",[964],{"_55":467,"_57":468,"_261":965},{"_263":264},{"_254":967,"_256":-5,"_257":968},"107",[969,971],{"_55":799,"_57":800,"_261":970},{"_263":264},{"_55":803,"_57":804,"_261":972},{"_263":264},{"_254":974,"_256":-5,"_257":975},"108",[976,978,980],{"_55":810,"_57":811,"_261":977},{"_263":264},{"_55":814,"_57":815,"_261":979},{"_263":264},{"_55":823,"_57":824,"_261":981},{"_263":264},{"_254":983,"_256":-5,"_257":984},"109",[985,987],{"_55":848,"_57":849,"_261":986},{"_263":264},{"_55":939,"_57":940,"_261":988},{"_263":264},{"_254":990,"_256":-5,"_257":991},"110",[992,994,996,998],{"_55":799,"_57":800,"_261":993},{"_263":264},{"_55":803,"_57":804,"_261":995},{"_263":264},{"_55":810,"_57":811,"_261":997},{"_263":264},{"_55":814,"_57":815,"_261":999},{"_263":264},{"_254":1001,"_256":-5,"_257":1002},"111",[1003],{"_55":823,"_57":824,"_261":1004},{"_263":264},{"_254":1006,"_256":-5,"_257":1007},"112",[1008],{"_55":280,"_57":281,"_261":1009},{"_263":264},{"_254":1011,"_256":-5,"_257":1012},"113",[1013,1015],{"_55":799,"_57":800,"_261":1014},{"_263":264},{"_55":803,"_57":804,"_261":1016},{"_263":264},{"_254":1018,"_256":-5,"_257":1019},"114",[1020],{"_55":810,"_57":811,"_261":1021},{"_263":264},{"_254":1023,"_256":-5,"_257":1024},"115",[1025,1027],{"_55":280,"_57":281,"_261":1026},{"_263":264},{"_55":814,"_57":815,"_261":1028},{"_263":264},{"_254":1030,"_256":-5,"_257":1031},"116",[1032,1034,1036],{"_55":799,"_57":800,"_261":1033},{"_263":264},{"_55":803,"_57":804,"_261":1035},{"_263":264},{"_55":810,"_57":1037,"_261":1038},"Zadanie 3.",{"_263":264},{"_254":1040,"_256":-5,"_257":1041},"117",[1042,1044],{"_55":814,"_57":815,"_261":1043},{"_263":264},{"_55":823,"_57":824,"_261":1045},{"_263":264},{"_254":1047,"_256":-5,"_257":1048},"118",[1049,1051],{"_55":280,"_57":281,"_261":1050},{"_263":264},{"_55":848,"_57":849,"_261":1052},{"_263":264},{"_254":1054,"_256":-5,"_257":1055},"119",[1056,1058],{"_55":799,"_57":800,"_261":1057},{"_263":264},{"_55":803,"_57":804,"_261":1059},{"_263":264},{"_254":1061,"_256":-5,"_257":1062},"120",[1063,1065,1067,1069],{"_55":810,"_57":811,"_261":1064},{"_263":264},{"_55":814,"_57":815,"_261":1066},{"_263":264},{"_55":823,"_57":824,"_261":1068},{"_263":264},{"_55":848,"_57":849,"_261":1070},{"_263":264},{"_254":1072,"_256":-5,"_257":1073},"121",[1074],{"_55":280,"_57":281,"_261":1075},{"_263":264},{"_254":1077,"_256":-5,"_257":1078},"122",[1079,1081,1083],{"_55":799,"_57":800,"_261":1080},{"_263":264},{"_55":803,"_57":804,"_261":1082},{"_263":264},{"_55":810,"_57":811,"_261":1084},{"_263":264},{"_254":1086,"_256":-5,"_257":1087},"123",[1088,1090],{"_55":814,"_57":815,"_261":1089},{"_263":264},{"_55":823,"_57":824,"_261":1091},{"_263":264},{"_254":1093,"_256":-5,"_257":1094},"124",[1095,1097],{"_55":280,"_57":281,"_261":1096},{"_263":264},{"_55":848,"_57":849,"_261":1098},{"_263":264},{"_254":1100,"_256":-5,"_257":1101},"125",[1102,1104],{"_55":260,"_57":260,"_261":1103},{"_263":264},{"_55":266,"_57":266,"_261":1105},{"_263":264},{"_254":1107,"_256":-5,"_257":1108},"126",[1109,1111],{"_55":272,"_57":272,"_261":1110},{"_263":264},{"_55":255,"_57":255,"_261":1112},{"_263":264},{"_254":1114,"_256":-5,"_257":1115},"127",[1116],{"_55":280,"_57":281,"_261":1117},{"_263":264},{"_254":1119,"_256":-5,"_257":1120},"129",[1121,1123,1125,1127],{"_55":260,"_57":260,"_261":1122},{"_263":264},{"_55":266,"_57":266,"_261":1124},{"_263":264},{"_55":272,"_57":272,"_261":1126},{"_263":264},{"_55":255,"_57":255,"_261":1128},{"_263":264},{"_254":1130,"_256":-5,"_257":1131},"130",[1132],{"_55":455,"_57":456,"_261":1133},{"_263":264},{"_254":1135,"_256":-5,"_257":1136},"131",[1137],{"_55":455,"_57":456,"_261":1138},{"_263":264},{"_254":1140,"_256":-5,"_257":1141},"132",[1142],{"_55":467,"_57":468,"_261":1143},{"_263":264},{"_254":1145,"_256":-5,"_257":1146},"133",[1147,1149,1151,1153,1155],{"_55":260,"_57":260,"_261":1148},{"_263":264},{"_55":266,"_57":266,"_261":1150},{"_263":264},{"_55":272,"_57":272,"_261":1152},{"_263":264},{"_55":255,"_57":255,"_261":1154},{"_263":264},{"_55":269,"_57":269,"_261":1156},{"_263":264},{"_254":1158,"_256":-5,"_257":1159},"134",[1160,1162],{"_55":260,"_57":260,"_261":1161},{"_263":264},{"_55":266,"_57":266,"_261":1163},{"_263":264},{"_254":1165,"_256":-5,"_257":1166},"135",[1167,1169,1171],{"_55":272,"_57":272,"_261":1168},{"_263":264},{"_55":255,"_57":255,"_261":1170},{"_263":264},{"_55":269,"_57":269,"_261":1172},{"_263":264},{"_254":1174,"_256":-5,"_257":1175},"136",[1176,1178],{"_55":277,"_57":277,"_261":1177},{"_263":264},{"_55":280,"_57":281,"_261":1179},{"_263":264},{"_254":1181,"_256":-5,"_257":1182},"137",[1183,1185,1187],{"_55":260,"_57":260,"_261":1184},{"_263":264},{"_55":266,"_57":266,"_261":1186},{"_263":264},{"_55":272,"_57":272,"_261":1188},{"_263":264},{"_254":1190,"_256":-5,"_257":1191},"138",[1192,1194,1196],{"_55":255,"_57":255,"_261":1193},{"_263":264},{"_55":269,"_57":269,"_261":1195},{"_263":264},{"_55":277,"_57":277,"_261":1197},{"_263":264},{"_254":1199,"_256":-5,"_257":1200},"139",[1201],{"_55":280,"_57":281,"_261":1202},{"_263":264},{"_254":1204,"_256":-5,"_257":1205},"140",[1206,1208],{"_55":260,"_57":260,"_261":1207},{"_263":264},{"_55":266,"_57":266,"_261":1209},{"_263":264},{"_254":1211,"_256":-5,"_257":1212},"141",[1213,1215,1217],{"_55":272,"_57":272,"_261":1214},{"_263":264},{"_55":255,"_57":255,"_261":1216},{"_263":264},{"_55":269,"_57":269,"_261":1218},{"_263":264},{"_254":1220,"_256":-5,"_257":1221},"143",[1222,1224,1226,1228,1230],{"_55":260,"_57":260,"_261":1223},{"_263":264},{"_55":266,"_57":266,"_261":1225},{"_263":264},{"_55":272,"_57":272,"_261":1227},{"_263":264},{"_55":255,"_57":255,"_261":1229},{"_263":264},{"_55":269,"_57":269,"_261":1231},{"_263":264},{"_254":1233,"_256":-5,"_257":1234},"144",[1235,1237],{"_55":277,"_57":277,"_261":1236},{"_263":264},{"_55":280,"_57":281,"_261":1238},{"_263":264},{"_254":1240,"_256":-5,"_257":1241},"145",[1242,1244,1246,1248],{"_55":260,"_57":260,"_261":1243},{"_263":264},{"_55":266,"_57":266,"_261":1245},{"_263":264},{"_55":272,"_57":272,"_261":1247},{"_263":264},{"_55":255,"_57":255,"_261":1249},{"_263":264},{"_254":1251,"_256":-5,"_257":1252},"146",[1253,1255,1257],{"_55":269,"_57":269,"_261":1254},{"_263":264},{"_55":277,"_57":277,"_261":1256},{"_263":264},{"_55":284,"_57":284,"_261":1258},{"_263":264},{"_254":1260,"_256":-5,"_257":1261},"147",[1262],{"_55":280,"_57":281,"_261":1263},{"_263":264},{"_254":1265,"_256":-5,"_257":1266},"148",[1267,1269],{"_55":260,"_57":260,"_261":1268},{"_263":264},{"_55":266,"_57":266,"_261":1270},{"_263":264},{"_254":1272,"_256":-5,"_257":1273},"149",[1274],{"_55":272,"_57":272,"_261":1275},{"_263":264},{"_254":1277,"_256":-5,"_257":1278},"150",[1279,1281],{"_55":255,"_57":255,"_261":1280},{"_263":264},{"_55":280,"_57":281,"_261":1282},{"_263":264},{"_254":1284,"_256":-5,"_257":1285},"151",[1286,1288],{"_55":260,"_57":260,"_261":1287},{"_263":264},{"_55":266,"_57":266,"_261":1289},{"_263":264},{"_254":1291,"_256":-5,"_257":1292},"152",[1293,1295],{"_55":272,"_57":272,"_261":1294},{"_263":264},{"_55":255,"_57":255,"_261":1296},{"_263":264},{"_254":1298,"_256":-5,"_257":1299},"153",[1300,1302],{"_55":269,"_57":269,"_261":1301},{"_263":264},{"_55":280,"_57":281,"_261":1303},{"_263":264},{"_254":1305,"_256":-5,"_257":1306},"154",[1307,1309,1311,1313],{"_55":260,"_57":260,"_261":1308},{"_263":264},{"_55":266,"_57":266,"_261":1310},{"_263":264},{"_55":272,"_57":272,"_261":1312},{"_263":264},{"_55":255,"_57":255,"_261":1314},{"_263":264},{"_254":1316,"_256":-5,"_257":1317},"155",[1318],{"_55":269,"_57":269,"_261":1319},{"_263":264},{"_254":1321,"_256":-5,"_257":1322},"156",[1323,1325],{"_55":277,"_57":277,"_261":1324},{"_263":264},{"_55":280,"_57":281,"_261":1326},{"_263":264},{"_254":1328,"_256":-5,"_257":1329},"157",[1330,1332,1334],{"_55":260,"_57":260,"_261":1331},{"_263":264},{"_55":266,"_57":266,"_261":1333},{"_263":264},{"_55":272,"_57":272,"_261":1335},{"_263":264},{"_254":1337,"_256":-5,"_257":1338},"158",[1339,1341,1343],{"_55":255,"_57":255,"_261":1340},{"_263":264},{"_55":269,"_57":269,"_261":1342},{"_263":264},{"_55":277,"_57":277,"_261":1344},{"_263":264},{"_254":1346,"_256":-5,"_257":1347},"159",[1348,1350],{"_55":284,"_57":284,"_261":1349},{"_263":264},{"_55":280,"_57":281,"_261":1351},{"_263":264},{"_254":1353,"_256":-5,"_257":1354},"160",[1355,1357,1359],{"_55":260,"_57":260,"_261":1356},{"_263":264},{"_55":266,"_57":266,"_261":1358},{"_263":264},{"_55":272,"_57":272,"_261":1360},{"_263":264},{"_254":1362,"_256":-5,"_257":1363},"161",[1364,1366],{"_55":255,"_57":255,"_261":1365},{"_263":264},{"_55":280,"_57":281,"_261":1367},{"_263":264},{"_254":1369,"_256":-5,"_257":1370},"162",[1371,1373,1375],{"_55":260,"_57":260,"_261":1372},{"_263":264},{"_55":266,"_57":266,"_261":1374},{"_263":264},{"_55":272,"_57":272,"_261":1376},{"_263":264},{"_254":1378,"_256":-5,"_257":1379},"163",[1380],{"_55":255,"_57":255,"_261":1381},{"_263":264},{"_254":1383,"_256":-5,"_257":1384},"164",[1385,1387,1389,1391],{"_55":269,"_57":269,"_261":1386},{"_263":264},{"_55":277,"_57":277,"_261":1388},{"_263":264},{"_55":284,"_57":284,"_261":1390},{"_263":264},{"_55":291,"_57":291,"_261":1392},{"_263":264},{"_254":1394,"_256":-5,"_257":1395},"165",[1396,1398],{"_55":300,"_57":300,"_261":1397},{"_263":264},{"_55":305,"_57":305,"_261":1399},{"_263":264},{"_254":1401,"_256":-5,"_257":1402},"166",[1403],{"_55":280,"_57":281,"_261":1404},{"_263":264},{"_254":1406,"_256":-5,"_257":1407},"167",[1408,1410,1412],{"_55":260,"_57":260,"_261":1409},{"_263":264},{"_55":266,"_57":266,"_261":1411},{"_263":264},{"_55":272,"_57":272,"_261":1413},{"_263":264},{"_254":1415,"_256":-5,"_257":1416},"168",[1417,1419,1421],{"_55":255,"_57":255,"_261":1418},{"_263":264},{"_55":269,"_57":269,"_261":1420},{"_263":264},{"_55":277,"_57":277,"_261":1422},{"_263":264},{"_254":1424,"_256":-5,"_257":1425},"169",[1426],{"_55":280,"_57":281,"_261":1427},{"_263":264},{"_254":1429,"_256":-5,"_257":1430},"170",[1431],{"_55":455,"_57":456,"_261":1432},{"_263":264},{"_254":1434,"_256":-5,"_257":1435},"171",[1436],{"_55":455,"_57":456,"_261":1437},{"_263":264},{"_254":1439,"_256":-5,"_257":1440},"172",[1441],{"_55":467,"_57":468,"_261":1442},{"_263":264},{"_254":1444,"_256":-5,"_257":1445},"173",[1446,1448,1450,1452,1454],{"_55":260,"_57":260,"_261":1447},{"_263":264},{"_55":266,"_57":266,"_261":1449},{"_263":264},{"_55":272,"_57":272,"_261":1451},{"_263":264},{"_55":255,"_57":255,"_261":1453},{"_263":264},{"_55":269,"_57":269,"_261":1455},{"_263":264},{"_254":1457,"_256":-5,"_257":1458},"174",[1459,1461],{"_55":277,"_57":277,"_261":1460},{"_263":264},{"_55":284,"_57":284,"_261":1462},{"_263":264},"solution",{"_1465":1466,"_55":266,"_247":266,"_1467":1468,"_1469":1470},"foreignId","d8324e20-1b67-46dd-9b69-8ed2c1be13ba","questions","Zadanie 2 a) Przeanalizuj przykład i oblicz współczynnik sprężystości sprężyny, dla której zależność wydłużenia od siły jest zilustrowana w przykładzie","answers",[1471,1474,1475],{"_263":771,"_1472":1473},"access","premium",{"_263":264,"_1472":1473},{"_263":1476,"_1472":1477},3,"logged_in","routes/$subjectSlug.$bookSlug.$pageNumber",{},"routes/$subjectSlug.$bookSlug.$pageNumber.$solutionSlug",{"_1463":1482},{"_1465":1466,"_55":266,"_247":266,"_1467":1468,"_1469":1483},[1484,1485,1486],{"_263":771,"_1472":1473},{"_263":264,"_1472":1473},{"_263":1476,"_1472":1477},"routes/$subjectSlug.$bookSlug.$pageNumber.$solutionSlug.$answerPosition",{"_1489":1490,"_1491":1492,"_1496":1497},"comments",[],"visit",{"_13":1493,"_15":1494,"_1495":39},"af8252a3-95ed-470e-ae8d-9b7bd9dfccbe","ewIoISSOVpD3kaXyYlZYAA","visibleReCaptcha","excerpt",{"_1498":1499,"_1500":1501},"content","

\r\n\r\n

Rozwiązywanie rozpoczynamy od przeanalizowania przykładu.

\r\n\r\n

Aby obliczyć współczynnik sprężystości, musimy wybrać punkt na niebieskim wykresie. Możemy odczytać, że dla wydłużenia 4 cm siła przyjmuje

","stylesheet","\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c3C.TEX-B::before {\n padding: 0.587em 0.894em 0.085em 0;\n content: \"<\";\n}\n\nmjx-c.mjx-c1D41F.TEX-B::before {\n padding: 0.7em 0.452em 0 0;\n content: \"f\";\n}\n\nmjx-c.mjx-c1D43A.TEX-I::before {\n padding: 0.705em 0.786em 0.022em 0;\n content: \"G\";\n}\n\n\n\n\n\n\n\n\n\nmjx-stretchy-h.mjx-cAF mjx-ext mjx-c::before {\n content: \"\\AF\";\n padding: 0.59em 0 0 0;\n}\n\nmjx-c.mjx-c54::before {\n padding: 0.677em 0.722em 0 0;\n content: \"T\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-stretchy-v.mjx-c2193 mjx-ext mjx-c::before {\n content: \"\\23D0\";\n width: 0.667em;\n}\n\nmjx-stretchy-v.mjx-c2193 mjx-end mjx-c::before {\n content: \"\\2193\";\n padding: 0.6em 0.667em 0 0;\n}\n\nmjx-stretchy-v.mjx-c2193 > mjx-end {\n margin-top: -0.6em;\n}\n\nmjx-stretchy-v.mjx-c2193 > mjx-ext {\n border-bottom-width: 0.57em;\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-stretchy-v.mjx-c2191 mjx-beg mjx-c::before {\n content: \"\\2191\";\n padding: 0.6em 0.667em 0 0;\n}\n\nmjx-stretchy-v.mjx-c2191 mjx-ext mjx-c::before {\n content: \"\\23D0\";\n width: 0.667em;\n}\n\nmjx-stretchy-v.mjx-c2191 > mjx-ext {\n border-top-width: 0.57em;\n}\n\nmjx-c.mjx-c2191::before {\n padding: 0.694em 0.5em 0.193em 0;\n content: \"\\2191\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-stretchy-h.mjx-c23DE mjx-beg mjx-c::before {\n content: \"\\E150\";\n padding: 0.32em 0 0.2em 0;\n}\n\nmjx-stretchy-h.mjx-c23DE mjx-ext mjx-c::before {\n content: \"\\E154\";\n padding: 0.32em 0 0.2em 0;\n}\n\nmjx-stretchy-h.mjx-c23DE mjx-end mjx-c::before {\n content: \"\\E151\";\n padding: 0.32em 0 0.2em 0;\n}\n\nmjx-stretchy-h.mjx-c23DE mjx-mid mjx-c::before {\n content: \"\\E153\\E152\";\n padding: 0.32em 0 0.2em 0;\n}\n\nmjx-stretchy-h.mjx-c23DE > mjx-ext {\n width: 50%;\n}\n\nmjx-c.mjx-c66::before {\n padding: 0.705em 0.372em 0 0;\n content: \"f\";\n}\n\nmjx-c.mjx-c2205::before {\n padding: 0.772em 0.5em 0.078em 0;\n content: \"\\2205\";\n}\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c22EF::before {\n padding: 0.31em 1.172em 0 0;\n content: \"\\22EF\";\n}\n\n\n\n\n\n\n\nmjx-c.mjx-c27E9::before {\n padding: 0.75em 0.389em 0.25em 0;\n content: \"\\27E9\";\n}\n\nmjx-c.mjx-c21D4::before {\n padding: 0.526em 1em 0.025em 0;\n content: \"\\21D4\";\n}\n\nmjx-c.mjx-c7B.TEX-S2::before {\n padding: 1.15em 0.667em 0.649em 0;\n content: \"{\";\n}\n\nmjx-c.mjx-c7D.TEX-S2::before {\n padding: 1.15em 0.667em 0.649em 0;\n content: \"}\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c1D452.TEX-I::before {\n padding: 0.442em 0.466em 0.011em 0;\n content: \"e\";\n}\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c1D448.TEX-I::before {\n padding: 0.683em 0.767em 0.022em 0;\n content: \"U\";\n}\n\nmjx-c.mjx-c1D6FA.TEX-I::before {\n padding: 0.704em 0.786em 0 0;\n content: \"\\3A9\";\n}\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c2032::before {\n padding: 0.56em 0.275em 0 0;\n content: \"\\2032\";\n}\n\nmjx-c.mjx-c21D2::before {\n padding: 0.525em 1em 0.024em 0;\n content: \"\\21D2\";\n}\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c1D70C.TEX-I::before {\n padding: 0.442em 0.517em 0.216em 0;\n content: \"\\3C1\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c1D714.TEX-I::before {\n padding: 0.443em 0.622em 0.011em 0;\n content: \"\\3C9\";\n}\n\nmjx-c.mjx-c1D42C.TEX-B::before {\n padding: 0.453em 0.454em 0.006em 0;\n content: \"s\";\n}\n\nmjx-c.mjx-c2115.TEX-A::before {\n padding: 0.683em 0.722em 0.02em 0;\n content: \"N\";\n}\n\n\n\n\n\n\n\nmjx-c.mjx-c27E8.TEX-S1::before {\n padding: 0.85em 0.472em 0.35em 0;\n content: \"\\27E8\";\n}\n\n\n\n\n\n\n\nmjx-c.mjx-c5C::before {\n padding: 0.75em 0.5em 0.25em 0;\n content: \"\\5C\";\n}\n\nmjx-c.mjx-c7B.TEX-S1::before {\n padding: 0.85em 0.583em 0.349em 0;\n content: \"{\";\n}\n\nmjx-c.mjx-c7D.TEX-S1::before {\n padding: 0.85em 0.583em 0.349em 0;\n content: \"}\";\n}\n\n\n\n\n\nmjx-c.mjx-c2207::before {\n padding: 0.683em 0.833em 0.033em 0;\n content: \"\\2207\";\n}\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c1D6FE.TEX-I::before {\n padding: 0.441em 0.543em 0.216em 0;\n content: \"\\3B3\";\n}\n\nmjx-c.mjx-c1D6FF.TEX-I::before {\n padding: 0.717em 0.444em 0.01em 0;\n content: \"\\3B4\";\n}\n\n\n\n\n\nmjx-c.mjx-c25FB.TEX-A::before {\n padding: 0.689em 0.778em 0 0;\n content: \"\\25A1\";\n}\n\nmjx-maction {\n display: inline-block;\n text-align: left;\n position: relative;\n}\n\nmjx-maction > mjx-tool {\n display: none;\n position: absolute;\n bottom: 0;\n right: 0;\n width: 0;\n height: 0;\n z-index: 500;\n}\n\nmjx-tool > mjx-tip {\n display: inline-block;\n padding: .2em;\n border: 1px solid #888;\n font-size: 70%;\n background-color: #F8F8F8;\n color: black;\n box-shadow: 2px 2px 5px #AAAAAA;\n}\n\nmjx-maction[toggle] {\n cursor: pointer;\n}\n\nmjx-status {\n display: block;\n position: fixed;\n left: 1em;\n bottom: 1em;\n min-width: 25%;\n padding: .2em .4em;\n border: 1px solid #888;\n font-size: 90%;\n background-color: #F8F8F8;\n color: black;\n}\n\n\n\n\n\nmjx-c.mjx-c2227::before {\n padding: 0.598em 0.667em 0.022em 0;\n content: \"\\2227\";\n}\n\n\n\nmjx-c.mjx-c2220::before {\n padding: 0.694em 0.722em 0 0;\n content: \"\\2220\";\n}\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c221A.TEX-S3::before {\n padding: 1.45em 1.02em 0.95em 0;\n content: \"\\221A\";\n}\n\nmjx-stretchy-h.mjx-c23DF mjx-beg mjx-c::before {\n content: \"\\E152\";\n padding: 0.32em 0 0.2em 0;\n}\n\nmjx-stretchy-h.mjx-c23DF mjx-ext mjx-c::before {\n content: \"\\E154\";\n padding: 0.32em 0 0.2em 0;\n}\n\nmjx-stretchy-h.mjx-c23DF mjx-end mjx-c::before {\n content: \"\\E153\";\n padding: 0.32em 0 0.2em 0;\n}\n\nmjx-stretchy-h.mjx-c23DF mjx-mid mjx-c::before {\n content: \"\\E151\\E150\";\n padding: 0.32em 0 0.2em 0;\n}\n\nmjx-stretchy-h.mjx-c23DF > mjx-ext {\n width: 50%;\n}\n\nmjx-stretchy-v.mjx-c28 mjx-beg mjx-c::before {\n content: \"\\239B\";\n padding: 1.154em 0.875em 0.655em 0;\n}\n\nmjx-stretchy-v.mjx-c28 mjx-ext mjx-c::before {\n content: \"\\239C\";\n width: 0.875em;\n}\n\nmjx-stretchy-v.mjx-c28 mjx-end mjx-c::before {\n content: \"\\239D\";\n padding: 1.165em 0.875em 0.644em 0;\n}\n\nmjx-stretchy-v.mjx-c28 > mjx-end {\n margin-top: -1.809em;\n}\n\nmjx-stretchy-v.mjx-c28 > mjx-ext {\n border-top-width: 1.779em;\n border-bottom-width: 1.779em;\n}\n\nmjx-stretchy-v.mjx-c29 mjx-beg mjx-c::before {\n content: \"\\239E\";\n padding: 1.154em 0.875em 0.655em 0;\n}\n\nmjx-stretchy-v.mjx-c29 mjx-ext mjx-c::before {\n content: \"\\239F\";\n width: 0.875em;\n}\n\nmjx-stretchy-v.mjx-c29 mjx-end mjx-c::before {\n content: \"\\23A0\";\n padding: 1.165em 0.875em 0.644em 0;\n}\n\nmjx-stretchy-v.mjx-c29 > mjx-end {\n margin-top: -1.809em;\n}\n\nmjx-stretchy-v.mjx-c29 > mjx-ext {\n border-top-width: 1.779em;\n border-bottom-width: 1.779em;\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-msubsup {\n display: inline-block;\n text-align: left;\n}\n\nmjx-script {\n display: inline-block;\n padding-right: .05em;\n padding-left: .033em;\n}\n\nmjx-script > mjx-spacer {\n display: block;\n}\n\nmjx-c.mjx-c52::before {\n padding: 0.683em 0.736em 0.022em 0;\n content: \"R\";\n}\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c221E::before {\n padding: 0.442em 1em 0.011em 0;\n content: \"\\221E\";\n}\n\n\n\n\n\nmjx-c.mjx-c2222.TEX-A::before {\n padding: 0.551em 0.722em 0.051em 0;\n content: \"\\2222\";\n}\n\n\n\n\n\nmjx-mmultiscripts {\n display: inline-block;\n text-align: left;\n}\n\nmjx-prescripts {\n display: inline-table;\n padding-left: .05em;\n}\n\nmjx-scripts {\n display: inline-table;\n padding-right: .05em;\n}\n\nmjx-prescripts > mjx-row > mjx-cell {\n text-align: right;\n}\n\n[script-align=\"left\"] > mjx-row > mjx-cell {\n text-align: left;\n}\n\n[script-align=\"center\"] > mjx-row > mjx-cell {\n text-align: center;\n}\n\n[script-align=\"right\"] > mjx-row > mjx-cell {\n text-align: right;\n}\n\n\n\nmjx-c.mjx-c211D.TEX-A::before {\n padding: 0.683em 0.722em 0 0;\n content: \"R\";\n}\n\n\n\nmjx-c.mjx-c77::before {\n padding: 0.431em 0.722em 0.011em 0;\n content: \"w\";\n}\n\nmjx-c.mjx-c79::before {\n padding: 0.431em 0.528em 0.204em 0;\n content: \"y\";\n}\n\n\n\n\n\n\n\nmjx-stretchy-h.mjx-c2192 mjx-ext mjx-c::before {\n content: \"\\2212\";\n padding: 0.583em 0 0.082em 0;\n}\n\nmjx-stretchy-h.mjx-c2192 mjx-end mjx-c::before {\n content: \"\\2192\";\n padding: 0.583em 0 0.082em 0;\n}\n\nmjx-c.mjx-c21C0::before {\n padding: 0.511em 1em 0 0;\n content: \"\\21C0\";\n}\n\nmjx-c.mjx-c25A1.TEX-A::before {\n padding: 0.689em 0.778em 0 0;\n content: \"\\25A1\";\n}\n\nmjx-c.mjx-c56::before {\n padding: 0.683em 0.75em 0.022em 0;\n content: \"V\";\n}\n\nmjx-c.mjx-c1D706.TEX-I::before {\n padding: 0.694em 0.583em 0.012em 0;\n content: \"\\3BB\";\n}\n\nmjx-c.mjx-c1D461.TEX-I::before {\n padding: 0.626em 0.361em 0.011em 0;\n content: \"t\";\n}\n\nmjx-c.mjx-cB0.TEX-B::before {\n padding: 0.702em 0.575em 0 0;\n content: \"\\B0\";\n}\n\n\n\nmjx-c.mjx-c1D444.TEX-I::before {\n padding: 0.704em 0.791em 0.194em 0;\n content: \"Q\";\n}\n\nmjx-c.mjx-c394::before {\n padding: 0.716em 0.833em 0 0;\n content: \"\\394\";\n}\n\n\n\n\n\n\n\nmjx-c.mjx-c1D447.TEX-I::before {\n padding: 0.677em 0.704em 0 0;\n content: \"T\";\n}\n\n\n\n\n\n\n\nmjx-c.mjx-c2218::before {\n padding: 0.444em 0.5em 0 0;\n content: \"\\2218\";\n}\n\nmjx-c.mjx-c7B.TEX-S4::before {\n padding: 1.75em 0.806em 1.249em 0;\n content: \"{\";\n}\n\n\n\n\n\n\n\nmjx-c.mjx-c1D44D.TEX-I::before {\n padding: 0.683em 0.723em 0 0;\n content: \"Z\";\n}\n\nmjx-c.mjx-c1D415.TEX-B::before {\n padding: 0.686em 0.869em 0.007em 0;\n content: \"V\";\n}\n\n\n\n\n\n\n\nmjx-stretchy-v.mjx-c7B mjx-beg mjx-c::before {\n content: \"\\23A7\";\n padding: 0.899em 0.889em 0.01em 0;\n}\n\nmjx-stretchy-v.mjx-c7B mjx-ext mjx-c::before {\n content: \"\\23AA\";\n width: 0.889em;\n}\n\nmjx-stretchy-v.mjx-c7B mjx-end mjx-c::before {\n content: \"\\23A9\";\n padding: 0.01em 0.889em 0.899em 0;\n}\n\nmjx-stretchy-v.mjx-c7B mjx-mid mjx-c::before {\n content: \"\\23A8\";\n padding: 1.16em 0.889em 0.66em 0;\n}\n\nmjx-stretchy-v.mjx-c7B > mjx-mid {\n margin-top: -0.91em;\n margin-bottom: -0.91em;\n}\n\nmjx-stretchy-v.mjx-c7B > mjx-end {\n margin-top: -0.909em;\n}\n\nmjx-stretchy-v.mjx-c7B > mjx-ext {\n height: 50%;\n border-top-width: 0.879em;\n border-bottom-width: 0.879em;\n}\n\n\n\nmjx-c.mjx-cAF::before {\n padding: 0.59em 0.5em 0 0;\n content: \"\\AF\";\n}\n\nmjx-c.mjx-c1D464.TEX-I::before {\n padding: 0.443em 0.716em 0.011em 0;\n content: \"w\";\n}\n\nmjx-c.mjx-c2026::before {\n padding: 0.12em 1.172em 0 0;\n content: \"\\2026\";\n}\n\nmjx-c.mjx-c1D70E.TEX-I::before {\n padding: 0.431em 0.571em 0.011em 0;\n content: \"\\3C3\";\n}\n\nmjx-c.mjx-c221A.TEX-S2::before {\n padding: 1.15em 1.02em 0.65em 0;\n content: \"\\221A\";\n}\n\nmjx-c.mjx-c2245::before {\n padding: 0.589em 0.778em 0 0;\n content: \"\\2245\";\n}\n\n\n\n\n\nmjx-c.mjx-c1D43D.TEX-I::before {\n padding: 0.683em 0.633em 0.022em 0;\n content: \"J\";\n}\n\nmjx-c.mjx-c1D7D5.TEX-B::before {\n padding: 0.676em 0.575em 0.011em 0;\n content: \"7\";\n}\n\nmjx-c.mjx-cB7.TEX-B::before {\n padding: 0.336em 0.319em 0 0;\n content: \"\\22C5\";\n}\n\nmjx-c.mjx-c2212.TEX-B::before {\n padding: 0.281em 0.894em 0 0;\n content: \"\\2212\";\n}\n\nmjx-c.mjx-c1D409.TEX-B::before {\n padding: 0.686em 0.594em 0.011em 0;\n content: \"J\";\n}\n\n\n\n\n\nmjx-c.mjx-c2124.TEX-A::before {\n padding: 0.683em 0.667em 0 0;\n content: \"Z\";\n}\n\n\n\nmjx-c.mjx-c58::before {\n padding: 0.683em 0.75em 0 0;\n content: \"X\";\n}\n\n\n\n\n\n\n\nmjx-mover {\n display: inline-block;\n text-align: left;\n}\n\nmjx-mover:not([limits=\"false\"]) {\n padding-top: .1em;\n}\n\nmjx-mover:not([limits=\"false\"]) > * {\n display: block;\n text-align: left;\n}\n\nmjx-c.mjx-c1D463.TEX-I::before {\n padding: 0.443em 0.485em 0.011em 0;\n content: \"v\";\n}\n\nmjx-c.mjx-c1D460.TEX-I::before {\n padding: 0.442em 0.469em 0.01em 0;\n content: \"s\";\n}\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c1D458.TEX-I::before {\n padding: 0.694em 0.521em 0.011em 0;\n content: \"k\";\n}\n\nmjx-c.mjx-c1D424.TEX-B::before {\n padding: 0.694em 0.607em 0 0;\n content: \"k\";\n}\n\nmjx-c.mjx-c3D.TEX-B::before {\n padding: 0.393em 0.894em 0 0;\n content: \"=\";\n}\n\nmjx-c.mjx-c1D41A.TEX-B::before {\n padding: 0.453em 0.559em 0.006em 0;\n content: \"a\";\n}\n\nmjx-c.mjx-c1D41C.TEX-B::before {\n padding: 0.453em 0.511em 0.006em 0;\n content: \"c\";\n}\n\nmjx-c.mjx-c1D426.TEX-B::before {\n padding: 0.45em 0.958em 0 0;\n content: \"m\";\n}\n\nmjx-c.mjx-c1D41B.TEX-B::before {\n padding: 0.694em 0.639em 0.006em 0;\n content: \"b\";\n}\n\nmjx-c.mjx-c1D40E.TEX-B::before {\n padding: 0.696em 0.864em 0.01em 0;\n content: \"O\";\n}\n\nmjx-c.mjx-c2B.TEX-B::before {\n padding: 0.633em 0.894em 0.131em 0;\n content: \"+\";\n}\n\nmjx-c.mjx-c1D45C.TEX-I::before {\n padding: 0.441em 0.485em 0.011em 0;\n content: \"o\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-munder {\n display: inline-block;\n text-align: left;\n}\n\nmjx-over {\n text-align: left;\n}\n\nmjx-munder:not([limits=\"false\"]) {\n display: inline-table;\n}\n\nmjx-munder > mjx-row {\n text-align: left;\n}\n\nmjx-under {\n padding-bottom: .1em;\n}\n\n.mjx-stretched mjx-c.mjx-c2013::before {\n content: \"\\2013\";\n}\n\nmjx-stretchy-h.mjx-c2013 mjx-ext mjx-c::before {\n content: \"\\2013\";\n padding: 0.285em 0 0 0;\n}\n\nmjx-c.mjx-c1D451.TEX-I::before {\n padding: 0.694em 0.52em 0.01em 0;\n content: \"d\";\n}\n\nmjx-c.mjx-c2228::before {\n padding: 0.598em 0.667em 0.022em 0;\n content: \"\\2228\";\n}\n\nmjx-c.mjx-c1D43F.TEX-I::before {\n padding: 0.683em 0.681em 0 0;\n content: \"L\";\n}\n\nmjx-c.mjx-c2248::before {\n padding: 0.483em 0.778em 0 0;\n content: \"\\2248\";\n}\n\n\n\nmjx-c.mjx-c1D43C.TEX-I::before {\n padding: 0.683em 0.504em 0 0;\n content: \"I\";\n}\n\nmjx-c.mjx-c2193::before {\n padding: 0.694em 0.5em 0.194em 0;\n content: \"\\2193\";\n}\n\nmjx-c.mjx-cF7::before {\n padding: 0.537em 0.778em 0.036em 0;\n content: \"\\F7\";\n}\n\n\n\nmjx-c.mjx-c1D441.TEX-I::before {\n padding: 0.683em 0.888em 0 0;\n content: \"N\";\n}\n\n\n\nmjx-c.mjx-c1D6E5.TEX-I::before {\n padding: 0.716em 0.833em 0 0;\n content: \"\\394\";\n}\n\n\n\nmjx-c.mjx-c1D44A.TEX-I::before {\n padding: 0.683em 1.048em 0.022em 0;\n content: \"W\";\n}\n\n\n\nmjx-c.mjx-c27E8::before {\n padding: 0.75em 0.389em 0.25em 0;\n content: \"\\27E8\";\n}\n\nmjx-c.mjx-c78::before {\n padding: 0.431em 0.528em 0 0;\n content: \"x\";\n}\n\nmjx-c.mjx-c59::before {\n padding: 0.683em 0.75em 0 0;\n content: \"Y\";\n}\n\n\n\nmjx-c.mjx-c7B.TEX-S3::before {\n padding: 1.45em 0.75em 0.949em 0;\n content: \"{\";\n}\n\n\n\nmjx-c.mjx-cA0::before {\n padding: 0 0.25em 0 0;\n content: \"\\A0\";\n}\n\nmjx-c.mjx-c2C.TEX-B::before {\n padding: 0.171em 0.319em 0.194em 0;\n content: \",\";\n}\n\n\n\n\n\nmjx-c.mjx-c2209::before {\n padding: 0.716em 0.667em 0.215em 0;\n content: \"\\2209\";\n}\n\nmjx-c.mjx-c3B::before {\n padding: 0.43em 0.278em 0.194em 0;\n content: \";\";\n}\n\n\n\nmjx-c.mjx-c74::before {\n padding: 0.615em 0.389em 0.01em 0;\n content: \"t\";\n}\n\n\n\n\n\nmjx-c.mjx-c1D7D7.TEX-B::before {\n padding: 0.654em 0.575em 0.011em 0;\n content: \"9\";\n}\n\nmjx-c.mjx-c1D7CE.TEX-B::before {\n padding: 0.654em 0.575em 0.01em 0;\n content: \"0\";\n}\n\nmjx-c.mjx-c1D7D3.TEX-B::before {\n padding: 0.655em 0.575em 0.011em 0;\n content: \"5\";\n}\n\nmjx-c.mjx-c1D7D6.TEX-B::before {\n padding: 0.654em 0.575em 0.011em 0;\n content: \"8\";\n}\n\nmjx-c.mjx-c1D7D2.TEX-B::before {\n padding: 0.656em 0.575em 0 0;\n content: \"4\";\n}\n\nmjx-c.mjx-c1D7D4.TEX-B::before {\n padding: 0.655em 0.575em 0.011em 0;\n content: \"6\";\n}\n\nmjx-c.mjx-c68::before {\n padding: 0.694em 0.556em 0 0;\n content: \"h\";\n}\n\nmjx-c.mjx-c4B::before {\n padding: 0.683em 0.778em 0 0;\n content: \"K\";\n}\n\nmjx-c.mjx-c4C::before {\n padding: 0.683em 0.625em 0 0;\n content: \"L\";\n}\n\nmjx-c.mjx-c4A::before {\n padding: 0.683em 0.514em 0.022em 0;\n content: \"J\";\n}\n\nmjx-c.mjx-c49::before {\n padding: 0.683em 0.361em 0 0;\n content: \"I\";\n}\n\nmjx-c.mjx-c47::before {\n padding: 0.705em 0.785em 0.022em 0;\n content: \"G\";\n}\n\nmjx-c.mjx-c62::before {\n padding: 0.694em 0.556em 0.011em 0;\n content: \"b\";\n}\n\nmjx-c.mjx-c1D400.TEX-B::before {\n padding: 0.698em 0.869em 0 0;\n content: \"A\";\n}\n\nmjx-c.mjx-c1D401.TEX-B::before {\n padding: 0.686em 0.818em 0 0;\n content: \"B\";\n}\n\nmjx-c.mjx-c2264::before {\n padding: 0.636em 0.778em 0.138em 0;\n content: \"\\2264\";\n}\n\nmjx-c.mjx-c2265::before {\n padding: 0.636em 0.778em 0.138em 0;\n content: \"\\2265\";\n}\n\nmjx-c.mjx-c221E::before {\n padding: 0.442em 1em 0.011em 0;\n content: \"\\221E\";\n}\n\nmjx-c.mjx-c222A::before {\n padding: 0.598em 0.667em 0.022em 0;\n content: \"\\222A\";\n}\n\nmjx-c.mjx-c2229::before {\n padding: 0.598em 0.667em 0.022em 0;\n content: \"\\2229\";\n}\n\nmjx-c.mjx-c2221.TEX-A::before {\n padding: 0.714em 0.722em 0.02em 0;\n content: \"\\2221\";\n}\n\nmjx-c.mjx-c2009::before {\n padding: 0 0.167em 0 0;\n content: \"\";\n}\n\nmjx-c.mjx-c2225::before {\n padding: 0.75em 0.5em 0.25em 0;\n content: \"\\2225\";\n}\n\n\n\nmjx-c.mjx-c25.TEX-MI::before {\n padding: 0.75em 0.847em 0.056em 0;\n content: \"%\";\n}\n\n\n\n\n\n\n\nmjx-c.mjx-c1D456.TEX-I::before {\n padding: 0.661em 0.345em 0.011em 0;\n content: \"i\";\n}\n\nmjx-c.mjx-c1D459.TEX-I::before {\n padding: 0.694em 0.298em 0.011em 0;\n content: \"l\";\n}\n\nmjx-c.mjx-c73::before {\n padding: 0.448em 0.394em 0.011em 0;\n content: \"s\";\n}\n\nmjx-c.mjx-c1D445.TEX-I::before {\n padding: 0.683em 0.759em 0.021em 0;\n content: \"R\";\n}\n\nmjx-c.mjx-c2223::before {\n padding: 0.75em 0.278em 0.249em 0;\n content: \"\\2223\";\n}\n\nmjx-c.mjx-c51::before {\n padding: 0.705em 0.778em 0.193em 0;\n content: \"Q\";\n}\n\nmjx-c.mjx-c1D736.TEX-BI::before {\n padding: 0.452em 0.761em 0.008em 0;\n content: \"\\3B1\";\n}\n\nmjx-c.mjx-c2061::before {\n padding: 0 0 0 0;\n content: \"\";\n}\n\nmjx-c.mjx-c6B::before {\n padding: 0.694em 0.528em 0 0;\n content: \"k\";\n}\n\nmjx-c.mjx-c64::before {\n padding: 0.694em 0.556em 0.011em 0;\n content: \"d\";\n}\n\nmjx-c.mjx-c65::before {\n padding: 0.448em 0.444em 0.011em 0;\n content: \"e\";\n}\n\n\n\n\n\nmjx-c.mjx-c1D45F.TEX-I::before {\n padding: 0.442em 0.451em 0.011em 0;\n content: \"r\";\n}\n\nmjx-c.mjx-c72::before {\n padding: 0.442em 0.392em 0 0;\n content: \"r\";\n}\n\n\n\nmjx-c.mjx-c1D43E.TEX-I::before {\n padding: 0.683em 0.889em 0 0;\n content: \"K\";\n}\n\nmjx-c.mjx-c69::before {\n padding: 0.669em 0.278em 0 0;\n content: \"i\";\n}\n\nmjx-c.mjx-c3F::before {\n padding: 0.705em 0.472em 0 0;\n content: \"?\";\n}\n\nmjx-c.mjx-c1D45A.TEX-I::before {\n padding: 0.442em 0.878em 0.011em 0;\n content: \"m\";\n}\n\nmjx-c.mjx-c1D462.TEX-I::before {\n padding: 0.442em 0.572em 0.011em 0;\n content: \"u\";\n}\n\nmjx-c.mjx-c1D467.TEX-I::before {\n padding: 0.442em 0.465em 0.011em 0;\n content: \"z\";\n}\n\n\n\nmjx-TeXAtom {\n display: inline-block;\n text-align: left;\n}\n\nmjx-c.mjx-c2208::before {\n padding: 0.54em 0.667em 0.04em 0;\n content: \"\\2208\";\n}\n\nmjx-c.mjx-c1D431.TEX-B::before {\n padding: 0.444em 0.607em 0 0;\n content: \"x\";\n}\n\nmjx-c.mjx-c1D7CF.TEX-B::before {\n padding: 0.655em 0.575em 0 0;\n content: \"1\";\n}\n\nmjx-c.mjx-c1D432.TEX-B::before {\n padding: 0.444em 0.607em 0.2em 0;\n content: \"y\";\n}\n\nmjx-c.mjx-c1D7D0.TEX-B::before {\n padding: 0.654em 0.575em 0 0;\n content: \"2\";\n}\n\nmjx-c.mjx-c1D7D1.TEX-B::before {\n padding: 0.655em 0.575em 0.011em 0;\n content: \"3\";\n}\n\nmjx-c.mjx-c1D70B.TEX-I::before {\n padding: 0.431em 0.57em 0.011em 0;\n content: \"\\3C0\";\n}\n\n\n\nmjx-c.mjx-c21::before {\n padding: 0.716em 0.278em 0 0;\n content: \"!\";\n}\n\nmjx-c.mjx-c25::before {\n padding: 0.75em 0.833em 0.056em 0;\n content: \"%\";\n}\n\nmjx-mtable {\n display: inline-block;\n text-align: center;\n vertical-align: .25em;\n position: relative;\n box-sizing: border-box;\n border-spacing: 0;\n border-collapse: collapse;\n}\n\nmjx-mstyle[size=\"s\"] mjx-mtable {\n vertical-align: .354em;\n}\n\nmjx-labels {\n position: absolute;\n left: 0;\n top: 0;\n}\n\nmjx-table {\n display: inline-block;\n vertical-align: -.5ex;\n box-sizing: border-box;\n}\n\nmjx-table > mjx-itable {\n vertical-align: middle;\n text-align: left;\n box-sizing: border-box;\n}\n\nmjx-labels > mjx-itable {\n position: absolute;\n top: 0;\n}\n\nmjx-mtable[justify=\"left\"] {\n text-align: left;\n}\n\nmjx-mtable[justify=\"right\"] {\n text-align: right;\n}\n\nmjx-mtable[justify=\"left\"][side=\"left\"] {\n padding-right: 0 ! important;\n}\n\nmjx-mtable[justify=\"left\"][side=\"right\"] {\n padding-left: 0 ! important;\n}\n\nmjx-mtable[justify=\"right\"][side=\"left\"] {\n padding-right: 0 ! important;\n}\n\nmjx-mtable[justify=\"right\"][side=\"right\"] {\n padding-left: 0 ! important;\n}\n\nmjx-mtable[align] {\n vertical-align: baseline;\n}\n\nmjx-mtable[align=\"top\"] > mjx-table {\n vertical-align: top;\n}\n\nmjx-mtable[align=\"bottom\"] > mjx-table {\n vertical-align: bottom;\n}\n\nmjx-mtable[side=\"right\"] mjx-labels {\n min-width: 100%;\n}\n\nmjx-mtr {\n display: table-row;\n text-align: left;\n}\n\nmjx-mtr[rowalign=\"top\"] > mjx-mtd {\n vertical-align: top;\n}\n\nmjx-mtr[rowalign=\"center\"] > mjx-mtd {\n vertical-align: middle;\n}\n\nmjx-mtr[rowalign=\"bottom\"] > mjx-mtd {\n vertical-align: bottom;\n}\n\nmjx-mtr[rowalign=\"baseline\"] > mjx-mtd {\n vertical-align: baseline;\n}\n\nmjx-mtr[rowalign=\"axis\"] > mjx-mtd {\n vertical-align: .25em;\n}\n\nmjx-mtd {\n display: table-cell;\n text-align: center;\n padding: .215em .4em;\n}\n\nmjx-mtd:first-child {\n padding-left: 0;\n}\n\nmjx-mtd:last-child {\n padding-right: 0;\n}\n\nmjx-mtable > * > mjx-itable > *:first-child > mjx-mtd {\n padding-top: 0;\n}\n\nmjx-mtable > * > mjx-itable > *:last-child > mjx-mtd {\n padding-bottom: 0;\n}\n\nmjx-tstrut {\n display: inline-block;\n height: 1em;\n vertical-align: -.25em;\n}\n\nmjx-labels[align=\"left\"] > mjx-mtr > mjx-mtd {\n text-align: left;\n}\n\nmjx-labels[align=\"right\"] > mjx-mtr > mjx-mtd {\n text-align: right;\n}\n\nmjx-mtd[extra] {\n padding: 0;\n}\n\nmjx-mtd[rowalign=\"top\"] {\n vertical-align: top;\n}\n\nmjx-mtd[rowalign=\"center\"] {\n vertical-align: middle;\n}\n\nmjx-mtd[rowalign=\"bottom\"] {\n vertical-align: bottom;\n}\n\nmjx-mtd[rowalign=\"baseline\"] {\n vertical-align: baseline;\n}\n\nmjx-mtd[rowalign=\"axis\"] {\n vertical-align: .25em;\n}\n\nmjx-mpadded {\n display: inline-block;\n text-align: left;\n}\n\nmjx-rbox {\n display: inline-block;\n position: relative;\n}\n\nmjx-mtext {\n display: inline-block;\n text-align: left;\n}\n\nmjx-c.mjx-c2E::before {\n padding: 0.12em 0.278em 0 0;\n content: \".\";\n}\n\nmjx-c.mjx-c211D.TEX-A::before {\n padding: 0.683em 0.722em 0 0;\n content: \"R\";\n}\n\nmjx-c.mjx-c2216::before {\n padding: 0.75em 0.5em 0.25em 0;\n content: \"\\2216\";\n}\n\nmjx-c.mjx-c7B::before {\n padding: 0.75em 0.5em 0.25em 0;\n content: \"{\";\n}\n\nmjx-c.mjx-c7D::before {\n padding: 0.75em 0.5em 0.25em 0;\n content: \"}\";\n}\n\nmjx-c.mjx-c25B3::before {\n padding: 0.716em 0.889em 0 0;\n content: \"\\25B3\";\n}\n\nmjx-c.mjx-c1D450.TEX-I::before {\n padding: 0.442em 0.433em 0.011em 0;\n content: \"c\";\n}\n\n\n\nmjx-mspace {\n display: inline-block;\n text-align: left;\n}\n\nmjx-stretchy-v.mjx-c7C mjx-ext mjx-c::before {\n content: \"\\2223\";\n width: 0.333em;\n}\n\nmjx-c.mjx-c7C::before {\n padding: 0.75em 0.278em 0.249em 0;\n content: \"|\";\n}\n\n\n\nmjx-c.mjx-c5A::before {\n padding: 0.683em 0.611em 0 0;\n content: \"Z\";\n}\n\nmjx-c.mjx-c6E::before {\n padding: 0.442em 0.556em 0 0;\n content: \"n\";\n}\n\nmjx-c.mjx-c75::before {\n padding: 0.442em 0.556em 0.011em 0;\n content: \"u\";\n}\n\nmjx-c.mjx-c4D::before {\n padding: 0.683em 0.917em 0 0;\n content: \"M\";\n}\n\nmjx-menclose {\n display: inline-block;\n text-align: left;\n position: relative;\n}\n\nmjx-menclose > mjx-dstrike {\n display: inline-block;\n left: 0;\n top: 0;\n position: absolute;\n border-top: 0.067em solid;\n transform-origin: top left;\n}\n\nmjx-menclose > mjx-ustrike {\n display: inline-block;\n left: 0;\n bottom: 0;\n position: absolute;\n border-top: 0.067em solid;\n transform-origin: bottom left;\n}\n\nmjx-menclose > mjx-hstrike {\n border-top: 0.067em solid;\n position: absolute;\n left: 0;\n right: 0;\n bottom: 50%;\n transform: translateY(0.034em);\n}\n\nmjx-menclose > mjx-vstrike {\n border-left: 0.067em solid;\n position: absolute;\n top: 0;\n bottom: 0;\n right: 50%;\n transform: translateX(0.034em);\n}\n\nmjx-menclose > mjx-rbox {\n position: absolute;\n top: 0;\n bottom: 0;\n right: 0;\n left: 0;\n border: 0.067em solid;\n border-radius: 0.267em;\n}\n\nmjx-menclose > mjx-cbox {\n position: absolute;\n top: 0;\n bottom: 0;\n right: 0;\n left: 0;\n border: 0.067em solid;\n border-radius: 50%;\n}\n\nmjx-menclose > mjx-arrow {\n position: absolute;\n left: 0;\n bottom: 50%;\n height: 0;\n width: 0;\n}\n\nmjx-menclose > mjx-arrow > * {\n display: block;\n position: absolute;\n transform-origin: bottom;\n border-left: 0.268em solid;\n border-right: 0;\n box-sizing: border-box;\n}\n\nmjx-menclose > mjx-arrow > mjx-aline {\n left: 0;\n top: -0.034em;\n right: 0.201em;\n height: 0;\n border-top: 0.067em solid;\n border-left: 0;\n}\n\nmjx-menclose > mjx-arrow[double] > mjx-aline {\n left: 0.201em;\n height: 0;\n}\n\nmjx-menclose > mjx-arrow > mjx-rthead {\n transform: skewX(0.464rad);\n right: 0;\n bottom: -1px;\n border-bottom: 1px solid transparent;\n border-top: 0.134em solid transparent;\n}\n\nmjx-menclose > mjx-arrow > mjx-rbhead {\n transform: skewX(-0.464rad);\n transform-origin: top;\n right: 0;\n top: -1px;\n border-top: 1px solid transparent;\n border-bottom: 0.134em solid transparent;\n}\n\nmjx-menclose > mjx-arrow > mjx-lthead {\n transform: skewX(-0.464rad);\n left: 0;\n bottom: -1px;\n border-left: 0;\n border-right: 0.268em solid;\n border-bottom: 1px solid transparent;\n border-top: 0.134em solid transparent;\n}\n\nmjx-menclose > mjx-arrow > mjx-lbhead {\n transform: skewX(0.464rad);\n transform-origin: top;\n left: 0;\n top: -1px;\n border-left: 0;\n border-right: 0.268em solid;\n border-top: 1px solid transparent;\n border-bottom: 0.134em solid transparent;\n}\n\nmjx-menclose > dbox {\n position: absolute;\n top: 0;\n bottom: 0;\n left: -0.3em;\n width: 0.6em;\n border: 0.067em solid;\n border-radius: 50%;\n clip-path: inset(0 0 0 0.3em);\n box-sizing: border-box;\n}\n\nmjx-c.mjx-c2032::before {\n padding: 0.56em 0.275em 0 0;\n content: \"\\2032\";\n}\n\nmjx-c.mjx-c1D449.TEX-I::before {\n padding: 0.683em 0.769em 0.022em 0;\n content: \"V\";\n}\n\nmjx-c.mjx-c50::before {\n padding: 0.683em 0.681em 0 0;\n content: \"P\";\n}\n\nmjx-c.mjx-c70::before {\n padding: 0.442em 0.556em 0.194em 0;\n content: \"p\";\n}\n\nmjx-c.mjx-c1D43B.TEX-I::before {\n padding: 0.683em 0.888em 0 0;\n content: \"H\";\n}\n\nmjx-c.mjx-c1D446.TEX-I::before {\n padding: 0.705em 0.645em 0.022em 0;\n content: \"S\";\n}\n\nmjx-c.mjx-c1D6FC.TEX-I::before {\n padding: 0.442em 0.64em 0.011em 0;\n content: \"\\3B1\";\n}\n\nmjx-c.mjx-c1D6FD.TEX-I::before {\n padding: 0.705em 0.566em 0.194em 0;\n content: \"\\3B2\";\n}\n\nmjx-c.mjx-cB0::before {\n padding: 0.715em 0.5em 0 0;\n content: \"\\B0\";\n}\n\nmjx-c.mjx-c3A::before {\n padding: 0.43em 0.278em 0 0;\n content: \":\";\n}\n\nmjx-c.mjx-c48::before {\n padding: 0.683em 0.75em 0 0;\n content: \"H\";\n}\n\nmjx-c.mjx-c4E::before {\n padding: 0.683em 0.75em 0 0;\n content: \"N\";\n}\n\nmjx-c.mjx-c61::before {\n padding: 0.448em 0.5em 0.011em 0;\n content: \"a\";\n}\n\nmjx-c.mjx-c1D45D.TEX-I::before {\n padding: 0.442em 0.503em 0.194em 0;\n content: \"p\";\n}\n\nmjx-c.mjx-c2206::before {\n padding: 0.716em 0.833em 0 0;\n content: \"\\394\";\n}\n\nmjx-c.mjx-c1D45E.TEX-I::before {\n padding: 0.442em 0.46em 0.194em 0;\n content: \"q\";\n}\n\nmjx-c.mjx-c2192::before {\n padding: 0.511em 1em 0.011em 0;\n content: \"\\2192\";\n}\n\nmjx-c.mjx-c1D440.TEX-I::before {\n padding: 0.683em 1.051em 0 0;\n content: \"M\";\n}\n\nmjx-c.mjx-c53::before {\n padding: 0.705em 0.556em 0.022em 0;\n content: \"S\";\n}\n\nmjx-c.mjx-c4F::before {\n padding: 0.705em 0.778em 0.022em 0;\n content: \"O\";\n}\n\nmjx-c.mjx-c2F::before {\n padding: 0.75em 0.5em 0.25em 0;\n content: \"/\";\n}\n\nmjx-mfenced {\n display: inline-block;\n text-align: left;\n}\n\nmjx-c.mjx-c1D442.TEX-I::before {\n padding: 0.704em 0.763em 0.022em 0;\n content: \"O\";\n}\n\nmjx-c.mjx-c1D44B.TEX-I::before {\n padding: 0.683em 0.852em 0 0;\n content: \"X\";\n}\n\nmjx-c.mjx-c1D454.TEX-I::before {\n padding: 0.442em 0.477em 0.205em 0;\n content: \"g\";\n}\n\nmjx-c.mjx-c1D453.TEX-I::before {\n padding: 0.705em 0.55em 0.205em 0;\n content: \"f\";\n}\n\nmjx-c.mjx-c1D44C.TEX-I::before {\n padding: 0.683em 0.763em 0 0;\n content: \"Y\";\n}\n\nmjx-c.mjx-c1D488.TEX-BI::before {\n padding: 0.452em 0.545em 0.202em 0;\n content: \"g\";\n}\n\nmjx-c.mjx-c1D499.TEX-BI::before {\n padding: 0.452em 0.659em 0.008em 0;\n content: \"x\";\n}\n\nmjx-c.mjx-c3D.TEX-B::before {\n padding: 0.393em 0.894em 0 0;\n content: \"=\";\n}\n\nmjx-c.mjx-c2212.TEX-B::before {\n padding: 0.281em 0.894em 0 0;\n content: \"\\2212\";\n}\n\nmjx-c.mjx-c1D487.TEX-BI::before {\n padding: 0.701em 0.624em 0.201em 0;\n content: \"f\";\n}\n\nmjx-c.mjx-c1D7CF.TEX-B::before {\n padding: 0.655em 0.575em 0 0;\n content: \"1\";\n}\n\nmjx-c.mjx-c1D7D1.TEX-B::before {\n padding: 0.655em 0.575em 0.011em 0;\n content: \"3\";\n}\n\nmjx-c.mjx-c1D489.TEX-BI::before {\n padding: 0.694em 0.668em 0.008em 0;\n content: \"h\";\n}\n\nmjx-c.mjx-c41::before {\n padding: 0.716em 0.75em 0 0;\n content: \"A\";\n}\n\nmjx-c.mjx-c42::before {\n padding: 0.683em 0.708em 0 0;\n content: \"B\";\n}\n\nmjx-c.mjx-c43::before {\n padding: 0.705em 0.722em 0.021em 0;\n content: \"C\";\n}\n\nmjx-c.mjx-c44::before {\n padding: 0.683em 0.764em 0 0;\n content: \"D\";\n}\n\nmjx-c.mjx-c45::before {\n padding: 0.68em 0.681em 0 0;\n content: \"E\";\n}\n\nmjx-c.mjx-c46::before {\n padding: 0.68em 0.653em 0 0;\n content: \"F\";\n}\n\nmjx-c.mjx-c1D434.TEX-I::before {\n padding: 0.716em 0.75em 0 0;\n content: \"A\";\n}\n\nmjx-c.mjx-c1D435.TEX-I::before {\n padding: 0.683em 0.759em 0 0;\n content: \"B\";\n}\n\nmjx-c.mjx-c1D436.TEX-I::before {\n padding: 0.705em 0.76em 0.022em 0;\n content: \"C\";\n}\n\nmjx-c.mjx-c1D437.TEX-I::before {\n padding: 0.683em 0.828em 0 0;\n content: \"D\";\n}\n\nmjx-c.mjx-c1D438.TEX-I::before {\n padding: 0.68em 0.764em 0 0;\n content: \"E\";\n}\n\nmjx-c.mjx-c1D439.TEX-I::before {\n padding: 0.68em 0.749em 0 0;\n content: \"F\";\n}\n\n\n\nmjx-msub {\n display: inline-block;\n text-align: left;\n}\n\nmjx-mroot {\n display: inline-block;\n text-align: left;\n}\n\nmjx-root {\n display: inline-block;\n white-space: nowrap;\n}\n\nmjx-surd {\n display: inline-block;\n vertical-align: top;\n}\n\nmjx-sqrt {\n display: inline-block;\n padding-top: .07em;\n}\n\nmjx-sqrt > mjx-box {\n border-top: .07em solid;\n}\n\nmjx-sqrt.mjx-tall > mjx-box {\n padding-left: .3em;\n margin-left: -.3em;\n}\n\nmjx-c.mjx-c3E::before {\n padding: 0.54em 0.778em 0.04em 0;\n content: \">\";\n}\n\nmjx-c.mjx-c2C::before {\n padding: 0.121em 0.278em 0.194em 0;\n content: \",\";\n}\n\nmjx-c.mjx-c2260::before {\n padding: 0.716em 0.778em 0.215em 0;\n content: \"\\2260\";\n}\n\nmjx-c.mjx-c6C::before {\n padding: 0.694em 0.278em 0 0;\n content: \"l\";\n}\n\nmjx-c.mjx-c6F::before {\n padding: 0.448em 0.5em 0.01em 0;\n content: \"o\";\n}\n\nmjx-c.mjx-c67::before {\n padding: 0.453em 0.5em 0.206em 0;\n content: \"g\";\n}\n\nmjx-c.mjx-c28.TEX-S3::before {\n padding: 1.45em 0.736em 0.949em 0;\n content: \"(\";\n}\n\nmjx-c.mjx-c29.TEX-S3::before {\n padding: 1.45em 0.736em 0.949em 0;\n content: \")\";\n}\n\nmjx-c.mjx-c28.TEX-S2::before {\n padding: 1.15em 0.597em 0.649em 0;\n content: \"(\";\n}\n\nmjx-c.mjx-c29.TEX-S2::before {\n padding: 1.15em 0.597em 0.649em 0;\n content: \")\";\n}\n\nmjx-c.mjx-c221A.TEX-S1::before {\n padding: 0.85em 1.02em 0.35em 0;\n content: \"\\221A\";\n}\n\nmjx-c.mjx-c28.TEX-S1::before {\n padding: 0.85em 0.458em 0.349em 0;\n content: \"(\";\n}\n\nmjx-c.mjx-c29.TEX-S1::before {\n padding: 0.85em 0.458em 0.349em 0;\n content: \")\";\n}\n\nmjx-c.mjx-c3C::before {\n padding: 0.54em 0.778em 0.04em 0;\n content: \"<\";\n}\n\n\n\nmjx-c.mjx-c37::before {\n padding: 0.676em 0.5em 0.022em 0;\n content: \"7\";\n}\n\nmjx-c.mjx-c1D45B.TEX-I::before {\n padding: 0.442em 0.6em 0.011em 0;\n content: \"n\";\n}\n\nmjx-c.mjx-c7A::before {\n padding: 0.431em 0.444em 0 0;\n content: \"z\";\n}\n\nmjx-mfrac {\n display: inline-block;\n text-align: left;\n}\n\nmjx-frac {\n display: inline-block;\n vertical-align: 0.17em;\n padding: 0 .22em;\n}\n\nmjx-frac[type=\"d\"] {\n vertical-align: .04em;\n}\n\nmjx-frac[delims] {\n padding: 0 .1em;\n}\n\nmjx-frac[atop] {\n padding: 0 .12em;\n}\n\nmjx-frac[atop][delims] {\n padding: 0;\n}\n\nmjx-dtable {\n display: inline-table;\n width: 100%;\n}\n\nmjx-dtable > * {\n font-size: 2000%;\n}\n\nmjx-dbox {\n display: block;\n font-size: 5%;\n}\n\nmjx-num {\n display: block;\n text-align: center;\n}\n\nmjx-den {\n display: block;\n text-align: center;\n}\n\nmjx-mfrac[bevelled] > mjx-num {\n display: inline-block;\n}\n\nmjx-mfrac[bevelled] > mjx-den {\n display: inline-block;\n}\n\nmjx-den[align=\"right\"], mjx-num[align=\"right\"] {\n text-align: right;\n}\n\nmjx-den[align=\"left\"], mjx-num[align=\"left\"] {\n text-align: left;\n}\n\nmjx-nstrut {\n display: inline-block;\n height: .054em;\n width: 0;\n vertical-align: -.054em;\n}\n\nmjx-nstrut[type=\"d\"] {\n height: .217em;\n vertical-align: -.217em;\n}\n\nmjx-dstrut {\n display: inline-block;\n height: .505em;\n width: 0;\n}\n\nmjx-dstrut[type=\"d\"] {\n height: .726em;\n}\n\nmjx-line {\n display: block;\n box-sizing: border-box;\n min-height: 1px;\n height: .06em;\n border-top: .06em solid;\n margin: .06em -.1em;\n overflow: hidden;\n}\n\nmjx-line[type=\"d\"] {\n margin: .18em -.1em;\n}\n\nmjx-c.mjx-c2212::before {\n padding: 0.583em 0.778em 0.082em 0;\n content: \"\\2212\";\n}\n\nmjx-c.mjx-c1D443.TEX-I::before {\n padding: 0.683em 0.751em 0 0;\n content: \"P\";\n}\n\nmjx-c.mjx-c28::before {\n padding: 0.75em 0.389em 0.25em 0;\n content: \"(\";\n}\n\nmjx-c.mjx-c29::before {\n padding: 0.75em 0.389em 0.25em 0;\n content: \")\";\n}\n\nmjx-c.mjx-c22C5::before {\n padding: 0.31em 0.278em 0 0;\n content: \"\\22C5\";\n}\n\nmjx-c.mjx-c210E.TEX-I::before {\n padding: 0.694em 0.576em 0.011em 0;\n content: \"h\";\n}\n\nmjx-c.mjx-c5B.TEX-S1::before {\n padding: 0.85em 0.417em 0.349em 0;\n content: \"[\";\n}\n\nmjx-c.mjx-c5D.TEX-S1::before {\n padding: 0.85em 0.417em 0.349em 0;\n content: \"]\";\n}\n\n\nmjx-container[jax=\"CHTML\"] {\n line-height: 0;\n}\n\nmjx-container [space=\"1\"] {\n margin-left: .111em;\n}\n\nmjx-container [space=\"2\"] {\n margin-left: .167em;\n}\n\nmjx-container [space=\"3\"] {\n margin-left: .222em;\n}\n\nmjx-container [space=\"4\"] {\n margin-left: .278em;\n}\n\nmjx-container [space=\"5\"] {\n margin-left: .333em;\n}\n\nmjx-container [rspace=\"1\"] {\n margin-right: .111em;\n}\n\nmjx-container [rspace=\"2\"] {\n margin-right: .167em;\n}\n\nmjx-container [rspace=\"3\"] {\n margin-right: .222em;\n}\n\nmjx-container [rspace=\"4\"] {\n margin-right: .278em;\n}\n\nmjx-container [rspace=\"5\"] {\n margin-right: .333em;\n}\n\nmjx-container [size=\"s\"] {\n font-size: 70.7%;\n}\n\nmjx-container [size=\"ss\"] {\n font-size: 50%;\n}\n\nmjx-container [size=\"Tn\"] {\n font-size: 60%;\n}\n\nmjx-container [size=\"sm\"] {\n font-size: 85%;\n}\n\nmjx-container [size=\"lg\"] {\n font-size: 120%;\n}\n\nmjx-container [size=\"Lg\"] {\n font-size: 144%;\n}\n\nmjx-container [size=\"LG\"] {\n font-size: 173%;\n}\n\nmjx-container [size=\"hg\"] {\n font-size: 207%;\n}\n\nmjx-container [size=\"HG\"] {\n font-size: 249%;\n}\n\nmjx-container [width=\"full\"] {\n width: 100%;\n}\n\nmjx-box {\n display: inline-block;\n}\n\nmjx-block {\n display: block;\n}\n\nmjx-itable {\n display: inline-table;\n}\n\nmjx-row {\n display: table-row;\n}\n\nmjx-row > * {\n display: table-cell;\n}\n\nmjx-mtext {\n display: inline-block;\n}\n\nmjx-mstyle {\n display: inline-block;\n}\n\nmjx-merror {\n display: inline-block;\n color: red;\n background-color: yellow;\n}\n\nmjx-mphantom {\n visibility: hidden;\n}\n\n_::-webkit-full-page-media, _:future, :root mjx-container {\n will-change: opacity;\n}\n\nmjx-math {\n display: inline-block;\n text-align: left;\n line-height: 0;\n text-indent: 0;\n font-style: normal;\n font-weight: normal;\n font-size: 100%;\n font-size-adjust: none;\n letter-spacing: normal;\n border-collapse: collapse;\n word-wrap: normal;\n word-spacing: normal;\n white-space: nowrap;\n direction: ltr;\n padding: 1px 0;\n}\n\nmjx-container[jax=\"CHTML\"][display=\"true\"] {\n display: block;\n text-align: center;\n margin: 1em 0;\n}\n\nmjx-container[jax=\"CHTML\"][display=\"true\"][width=\"full\"] {\n display: flex;\n}\n\nmjx-container[jax=\"CHTML\"][display=\"true\"] mjx-math {\n padding: 0;\n}\n\nmjx-container[jax=\"CHTML\"][justify=\"left\"] {\n text-align: left;\n}\n\nmjx-container[jax=\"CHTML\"][justify=\"right\"] {\n text-align: right;\n}\n\nmjx-semantics {\n display: inline-block;\n text-align: left;\n}\n\nmjx-mrow {\n display: inline-block;\n text-align: left;\n}\n\nmjx-msup {\n display: inline-block;\n text-align: left;\n}\n\nmjx-mi {\n display: inline-block;\n text-align: left;\n}\n\nmjx-c {\n display: inline-block;\n}\n\nmjx-utext {\n display: inline-block;\n padding: .75em 0 .2em 0;\n}\n\nmjx-mn {\n display: inline-block;\n text-align: left;\n}\n\nmjx-mo {\n display: inline-block;\n text-align: left;\n}\n\nmjx-stretchy-h {\n display: inline-table;\n width: 100%;\n}\n\nmjx-stretchy-h > * {\n display: table-cell;\n width: 0;\n}\n\nmjx-stretchy-h > * > mjx-c {\n display: inline-block;\n transform: scalex(1.0000001);\n}\n\nmjx-stretchy-h > * > mjx-c::before {\n display: inline-block;\n width: initial;\n}\n\nmjx-stretchy-h > mjx-ext {\n /* IE */ overflow: hidden;\n /* others */ overflow: clip visible;\n width: 100%;\n}\n\nmjx-stretchy-h > mjx-ext > mjx-c::before {\n transform: scalex(500);\n}\n\nmjx-stretchy-h > mjx-ext > mjx-c {\n width: 0;\n}\n\nmjx-stretchy-h > mjx-beg > mjx-c {\n margin-right: -.1em;\n}\n\nmjx-stretchy-h > mjx-end > mjx-c {\n margin-left: -.1em;\n}\n\nmjx-stretchy-v {\n display: inline-block;\n}\n\nmjx-stretchy-v > * {\n display: block;\n}\n\nmjx-stretchy-v > mjx-beg {\n height: 0;\n}\n\nmjx-stretchy-v > mjx-end > mjx-c {\n display: block;\n}\n\nmjx-stretchy-v > * > mjx-c {\n transform: scaley(1.0000001);\n transform-origin: left center;\n overflow: hidden;\n}\n\nmjx-stretchy-v > mjx-ext {\n display: block;\n height: 100%;\n box-sizing: border-box;\n border: 0px solid transparent;\n /* IE */ overflow: hidden;\n /* others */ overflow: visible clip;\n}\n\nmjx-stretchy-v > mjx-ext > mjx-c::before {\n width: initial;\n box-sizing: border-box;\n}\n\nmjx-stretchy-v > mjx-ext > mjx-c {\n transform: scaleY(500) translateY(.075em);\n overflow: visible;\n}\n\nmjx-mark {\n display: inline-block;\n height: 0px;\n}\n\nmjx-msqrt {\n display: inline-block;\n text-align: left;\n}\n\nmjx-root {\n display: inline-block;\n white-space: nowrap;\n}\n\nmjx-surd {\n display: inline-block;\n vertical-align: top;\n}\n\nmjx-sqrt {\n display: inline-block;\n padding-top: .07em;\n}\n\nmjx-sqrt > mjx-box {\n border-top: .07em solid;\n}\n\nmjx-sqrt.mjx-tall > mjx-box {\n padding-left: .3em;\n margin-left: -.3em;\n}\n\nmjx-c::before {\n display: block;\n width: 0;\n}\n\n.MJX-TEX {\n font-family: MJXZERO, MJXTEX;\n}\n\n.TEX-B {\n font-family: MJXZERO, MJXTEX-B;\n}\n\n.TEX-I {\n font-family: MJXZERO, MJXTEX-I;\n}\n\n.TEX-MI {\n font-family: MJXZERO, MJXTEX-MI;\n}\n\n.TEX-BI {\n font-family: MJXZERO, MJXTEX-BI;\n}\n\n.TEX-S1 {\n font-family: MJXZERO, MJXTEX-S1;\n}\n\n.TEX-S2 {\n font-family: MJXZERO, MJXTEX-S2;\n}\n\n.TEX-S3 {\n font-family: MJXZERO, MJXTEX-S3;\n}\n\n.TEX-S4 {\n font-family: MJXZERO, MJXTEX-S4;\n}\n\n.TEX-A {\n font-family: MJXZERO, MJXTEX-A;\n}\n\n.TEX-C {\n font-family: MJXZERO, MJXTEX-C;\n}\n\n.TEX-CB {\n font-family: MJXZERO, MJXTEX-CB;\n}\n\n.TEX-FR {\n font-family: MJXZERO, MJXTEX-FR;\n}\n\n.TEX-FRB {\n font-family: MJXZERO, MJXTEX-FRB;\n}\n\n.TEX-SS {\n font-family: MJXZERO, MJXTEX-SS;\n}\n\n.TEX-SSB {\n font-family: MJXZERO, MJXTEX-SSB;\n}\n\n.TEX-SSI {\n font-family: MJXZERO, MJXTEX-SSI;\n}\n\n.TEX-SC {\n font-family: MJXZERO, MJXTEX-SC;\n}\n\n.TEX-T {\n font-family: MJXZERO, MJXTEX-T;\n}\n\n.TEX-V {\n font-family: MJXZERO, MJXTEX-V;\n}\n\n.TEX-VB {\n font-family: MJXZERO, MJXTEX-VB;\n}\n\nmjx-stretchy-v mjx-c, mjx-stretchy-h mjx-c {\n font-family: MJXZERO, MJXTEX-S1, MJXTEX-S4, MJXTEX, MJXTEX-A ! important;\n}\n\n@font-face /* 0 */ {\n font-family: MJXZERO;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Zero.woff\") format(\"woff\");\n}\n\n@font-face /* 1 */ {\n font-family: MJXTEX;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 2 */ {\n font-family: MJXTEX-B;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Bold.woff\") format(\"woff\");\n}\n\n@font-face /* 3 */ {\n font-family: MJXTEX-I;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Math-Italic.woff\") format(\"woff\");\n}\n\n@font-face /* 4 */ {\n font-family: MJXTEX-MI;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Italic.woff\") format(\"woff\");\n}\n\n@font-face /* 5 */ {\n font-family: MJXTEX-BI;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Math-BoldItalic.woff\") format(\"woff\");\n}\n\n@font-face /* 6 */ {\n font-family: MJXTEX-S1;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Size1-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 7 */ {\n font-family: MJXTEX-S2;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Size2-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 8 */ {\n font-family: MJXTEX-S3;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Size3-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 9 */ {\n font-family: MJXTEX-S4;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Size4-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 10 */ {\n font-family: MJXTEX-A;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_AMS-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 11 */ {\n font-family: MJXTEX-C;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Calligraphic-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 12 */ {\n font-family: MJXTEX-CB;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Calligraphic-Bold.woff\") format(\"woff\");\n}\n\n@font-face /* 13 */ {\n font-family: MJXTEX-FR;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Fraktur-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 14 */ {\n font-family: MJXTEX-FRB;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Fraktur-Bold.woff\") format(\"woff\");\n}\n\n@font-face /* 15 */ {\n font-family: MJXTEX-SS;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_SansSerif-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 16 */ {\n font-family: MJXTEX-SSB;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_SansSerif-Bold.woff\") format(\"woff\");\n}\n\n@font-face /* 17 */ {\n font-family: MJXTEX-SSI;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_SansSerif-Italic.woff\") format(\"woff\");\n}\n\n@font-face /* 18 */ {\n font-family: MJXTEX-SC;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Script-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 19 */ {\n font-family: MJXTEX-T;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Typewriter-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 20 */ {\n font-family: MJXTEX-V;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Vector-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 21 */ {\n font-family: MJXTEX-VB;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Vector-Bold.woff\") format(\"woff\");\n}\n\nmjx-c.mjx-c1D465.TEX-I::before {\n padding: 0.442em 0.572em 0.011em 0;\n content: \"x\";\n}\n\nmjx-c.mjx-c32::before {\n padding: 0.666em 0.5em 0 0;\n content: \"2\";\n}\n\nmjx-c.mjx-c3D::before {\n padding: 0.583em 0.778em 0.082em 0;\n content: \"=\";\n}\n\nmjx-c.mjx-c39::before {\n padding: 0.666em 0.5em 0.022em 0;\n content: \"9\";\n}\n\nmjx-c.mjx-c2B::before {\n padding: 0.583em 0.778em 0.082em 0;\n content: \"+\";\n}\n\nmjx-c.mjx-c31::before {\n padding: 0.666em 0.5em 0 0;\n content: \"1\";\n}\n\nmjx-c.mjx-c38::before {\n padding: 0.666em 0.5em 0.022em 0;\n content: \"8\";\n}\n\nmjx-c.mjx-c34::before {\n padding: 0.677em 0.5em 0 0;\n content: \"4\";\n}\n\nmjx-c.mjx-c35::before {\n padding: 0.666em 0.5em 0.022em 0;\n content: \"5\";\n}\n\nmjx-c.mjx-c221A::before {\n padding: 0.8em 0.853em 0.2em 0;\n content: \"\\221A\";\n}\n\nmjx-c.mjx-cA0::before {\n padding: 0 0.25em 0 0;\n content: \"\\A0\";\n}\n\nmjx-c.mjx-c5B::before {\n padding: 0.75em 0.278em 0.25em 0;\n content: \"[\";\n}\n\nmjx-c.mjx-c63::before {\n padding: 0.448em 0.444em 0.011em 0;\n content: \"c\";\n}\n\nmjx-c.mjx-c6D::before {\n padding: 0.442em 0.833em 0 0;\n content: \"m\";\n}\n\nmjx-c.mjx-c5D::before {\n padding: 0.75em 0.278em 0.25em 0;\n content: \"]\";\n}\n\nmjx-c.mjx-c1D466.TEX-I::before {\n padding: 0.442em 0.49em 0.205em 0;\n content: \"y\";\n}\n\nmjx-c.mjx-c36::before {\n padding: 0.666em 0.5em 0.022em 0;\n content: \"6\";\n}\n\nmjx-c.mjx-c33::before {\n padding: 0.665em 0.5em 0.022em 0;\n content: \"3\";\n}\n\nmjx-c.mjx-c1D44E.TEX-I::before {\n padding: 0.441em 0.529em 0.01em 0;\n content: \"a\";\n}\n\nmjx-c.mjx-c30::before {\n padding: 0.666em 0.5em 0.022em 0;\n content: \"0\";\n}\n\nmjx-c.mjx-cB7::before {\n padding: 0.31em 0.278em 0 0;\n content: \"\\22C5\";\n}\n\nmjx-c.mjx-c5B.TEX-S2::before {\n padding: 1.15em 0.472em 0.649em 0;\n content: \"[\";\n}\n\nmjx-c.mjx-c5D.TEX-S2::before {\n padding: 1.15em 0.472em 0.649em 0;\n content: \"]\";\n}\n\nmjx-c.mjx-cD7::before {\n padding: 0.491em 0.778em 0 0;\n content: \"\\D7\";\n}\n\nmjx-c.mjx-c1D44F.TEX-I::before {\n padding: 0.694em 0.429em 0.011em 0;\n content: \"b\";\n}\n","actionData","errors"]

Komentarze

Przeglądana książka

Moje książki

Kup PREMIUM i zyskaj!