Uninzi lwezona nkqubo zintsonkothileyo zehlabathi, iikhowudi nemidlalo zimiliselwe kwimathematika. I-Chess, umzekelo, iquka incopho yobunzima, ihlelwe ngokucokisekileyo kwigridi ye-8x8, ngelixa i-tic-tac-toe (X kunye ne-O) ikhupha le ngcamango ibe lula kwi-matrix ye-3x3. Nangona kunjalo, eyona , kunye nekhowudi efunwa kakhulu kwimbali - ikhowudi yezemali exhasa iinkqubo zoqoqosho zanamhlanje - yinto esisiseko, umdlalo wemathematika okhohlisayo xa uhlanjululwe ngokupheleleyo. mfihlelo ibaluleke kakhulu kwixesha lonke Ngokungafani ne , eyakhiwe kwi , okanye , esebenza kwigridi , le khowudi yezemali enzulu isekelwe kwisakhelo se-matrix ezimbini: -chess -8x8 matrix i-tic-tac-toe ye-3x3 ezimbini ze-matrices ze-6x6 zesikwere. kunye ne zisebenza ngemvisiswano egqibeleleyo, zenza umjikelo oqhubekayo oquka isingqi esingapheliyo sokukhula kunye nokwehla - izinto ezingundoqo ezibumba iinkqubo zemali zelizwe lanamhlanje. I-Matrix A (iDada) -Matrix B (Ichibi leentlanzi) Esi sikhokelo sotshintsho saziwa ngokuba yi . -The-Duck-Code Nangona kunjalo, ngaphambi kokuba siveze ubunzulu obupheleleyo beKhowudi , kufuneka siqale sihlolisise ibali lemathematika elisebenza njengesiseko sokudala kunye nokuvela kweemarike zemali zehlabathi. yeDada Kuphela ngokuqonda le ngxelo sinokuthi siqalise ukutyhila kunye nokucacisa iimfihlo . zeDuck Code Ngeminazana ithile Iziqalo Kwichibi elizolileyo, elikude, elibekwe kwikona ephezulu ekhohlo ye , idada losana lithatha umoya walo wokuqala kwindawo . Ithozamile kodwa itsala amehlo, ivela njengonxantathu . -6 × 6 yesikwere se-matrix enezikwere ezingama-36 (0,0) we-isosceles onekona ekunene (umfanekiso 1) Iimpawu zedada Indawo ephezulu kanxantathu yedada, ehlala ifikelela phezulu. Ngaphakathi kumzimba walo omthubi, idada lithwele , isangqa esigqibeleleyo esibekwe ngaphakathi. Ukususela ekuqaleni, iphinde ithwale i- , emise njengomnye unxantathu obonisa umzimba wayo, ekhula ngokulinganayo emva kwayo. yintloko isisu esiluhlaza, esingqukuva backpack engwevu Njengoko idada likhula, , ukhula ecaleni kwawo kwaye ngokuthe ngcembe wolule de, ngenye imini, igcwalise . ubhaka uyakhula isiqingatha esingaphezulu sematrix a (umfanekiso 2) Ukufuna okugqibeleleyo Ukususela kwixesha lokudalwa kwalo, e-e yacaca: Kodwa ukuze kuphunyezwe oku, kwakufuneka kuqala kugqitywe imisebenzi emibini ebalulekileyo: injongo yedada kuphela ukubaleka imatrix. ngaphakathi , kunye Ukufikelela kubude bayo obukhulu kweMatrix a ngamanzi Gcwalisa ngaphezu kwe-50% yobhaka wayo (umfanekiso 3) Umsebenzi wokuqala , injongo yedada ithe ngqo: . Kumanqanaba amathandathu okuqala obomi balo ukukhula ukuya kutsho kubukhulu balo ngaphakathi kweMatrix a . Ukuze lenze oku, idada liqalisa ukusela amanzi echibini, likhulisa isisu salo esingqukuva lize liqalise ukukhula Ukukhula kwayo , iqhubela phambili kunye ne-diagonal ye-matrix kwi- . kuzinzile kwaye ihambelana angle ye-45 ° Kwisithuba samanqanaba amathandathu alinganayo, idada liba lide kwaye libe likhulu ngenyathelo ngalinye . Ekupheleni kwezi zigaba zintandathu, ugubungela isiqingatha esisezantsi sematrix. (umfanekiso 4-5) umzimba wayo (omelwe ngunxantathu omthubi) (umfanekiso 5) Umsebenzi wokuqala ugqityiwe Xa , isisu salo sineradiyasi , kwaye intloko yalo ibekwe kwi-coordinate . Umphezulu womzimba ngoku ulinganisa . idada lethu lifikelela kubude balo obuphezulu be-6X r=1.75X (6,6) wedada i-18X² (umfanekiso 6) Umsebenzi wokuqala ugqitywe ngempumelelo lidada. Ubutumwa bokugqibela - iMatrix b - ichibi leentlanzi Idada ngoku lilungele umngeni walo olandelayo. Ukusaba kwi-matrix, kufuneka igqibe : kuhambo lwayo olungaphaya kwe-matrix. umsebenzi wayo wokugqibela igcwalise ngaphezulu kwesiqingatha sobhaka wayo ngogcino lwamanzi Ukugqiba umsebenzi wayo, lingena kwindawo . Le matrix yesikwere, iyafana neMatrix a, imele ichibi elikufutshane elizaliswe ziintlanzi. iMatrix b - Ichibi leentlanzi (umfanekiso 7) Idama lahlulwe libe ngamacandelo amabini ngokwedayagonali yalo: , , sisuka ukusuka phezulu ukuya phezulu. Isiqingatha esisezantsi sigcwele iintlanzi . Isiqingatha esiphezulu sizaliswe ngokupheleleyo ngamanzi Isisombululo Ukuzalisa ubhaka walo ngamanzi, idada linesisombululo esinye kuphela: kufuneka liwufake umlomo walo ngokunzulu nangokunzulu kwichibi leentlanzi kwaye litye intlanzi de onke amanzi asesiswini salo adluliselwe kubhaka. Xa , omile okwe , kumphezulu we- , liginya umlinganiselo olinganayo wentlanzi - , . Ekubeni isisu , . idada lirhweba ngomlomo walo -isosceles ebomvu elingunxantathu wasekunene X² X² egcinwe esiswini salo sele sizaliswe ngamanzi intlanzi nganye engena ikhupha umthamo olinganayo wamanzi, okhutshwa ngokuvula kwi-backpack (Umfanekiso 9) Ngenxa yoko, i ngelixa -backpack igcwalisa ngokuthe ngcembe ngamanzi, ibhaluni yamanzi esiswini iyancipha ngokukhawuleza ububanzi. Idada liyaqhubeka le nkqubo - lifaka umlomo walo echibini - de isisu salo sizaliswe ngokupheleleyo yintlanzi kwaye onke amanzi adluliselwe kwi-backpack, ukuphumeza ukulingana. (umfanekiso 9,10,11,12) Emva kokutya intlanzi yokugqibela engena esiswini salo, idada lethu liginye iyonke , likwazi ukukhupha wonke umthamo wamanzi esiswini salo, , kwaye liwugcine kubhaka. 9.7X² iintlanzi 9.7X² Ngobhaka unomthamo opheleleyo we , ngoku izaliswe ukuya kuma , izalisekisa iimfuno zemishini yayo -18X² -54% yokugqibela! (Umfanekiso 13) Ukufezekisa oku, idada kuqala liye lafumana ngaphakathi kwe- - , ifikelela kubude be , kunye nesisu sayo esizaliswe ngamanzi sanda ukuya kwi-radius ye- . izigaba ezi-6 zokukhula kwe-rectilinear kunye nokufana okufanayo Matrix a I-Duck -6X 1.75X Emva koko, ngaphezu kwezinye , ngaphakathi kweMatrix - , idada kwafuneka lifake umlomo walo kwi , ukuya kubunzulu be- , ukulinganisa ukusuka entloko ukuya kwi-engile emazantsi. Obu bunzulu bubalelwa kwi kwaye bufuna ukuba idada lidle echibini. izigaba ezi-6 b Ichibi lentlanzi echibini lentlanzi ngokulinganayo -angle ye-45-degree h = 4.4X -73% yobude bedama (6X) i-54% (9.7X²) yetotali yabemi beentlanzi (18X²) (Umfanekiso 14) Zonke ezi meko zahlangatyezwana nazo ukuba , okulivumela ukuba lishiye i-matrix. zavumela idada ligcwalise ngaphezulu kwe 50% yomthamo wobhaka ngamanzi Kungabonakala kungakholeleki, kodwa yintoni ephambi kwakho - , - imele ii-isosceles ezimbini ezichanekileyo iinxantathu kunye nesangqa ehlelwe kwii -matrices ezimbini ze-6x6 isiseko semithetho yezemali eyenza ihlabathi lethu namhlanje. (Umfanekiso 17) Nangona kunjalo, , kufuneka sihlolisise i- - isakhelo sokuqala esityhila imigaqo engundoqo yemathematika exhasa ukusekwa kwazo zonke iimarike zemali. ukucacisa ngokupheleleyo kunye nokuqonda yonke ikhowudi Saint Nicholas Balloons Theorem Ithiyori yeebhaluni zikaNicholas Ukususela ekuqaleni kweemarike zezemali, uluntu luye lwamiselwa ukuba lukholelwe ukuba umgca wetshathi yexabiso yisalathisi esiphezulu sexabiso. Enyanisweni, owona awukho kumgca ngokwawo, kodwa mlinganiselo ubaluleke kakhulu kwindawo engaphantsi kwayo. Ngokutsho kweBalloon Theorem, le ndawo izaliswe ngokuchanekileyo ngeebhaluni ezinobungakanani obahlukeneyo, ngamnye omele abagcini kunye nexabiso le-stack yabo. Ngaphaya koko, ulungiselelo lwezi bhaluni kunye nentshukumo yazo imisela ngokupheleleyo ubume betshathi kunye nokuvela kwexabiso. Imephu yebhaluni, iradiyasi yebhaluni Ummandla webhaluni nganye (isangqa) unikwa yimveliso yobuninzi bempahla engomnini (n) kunye nexabiso le-asethi (p) - . Umyinge wexabiso lokuthengisa ubalwa kumbindi webhaluni. Isangqa = np Kwangaxeshanye, ummandla wesangqa ubalwa kusetyenziswa ifomyula eqhelekileyo yemathematika Isangqa = πr². Ngokulinganisa iiequations ezimbini, sinokufumana ifomula yeradiyasi yebhaluni. Le fomyula yenza ukumelwa komnini ngamnye kunye nexabiso le-stake yabo njengesangqa, ukulinganisa indawo abahlala kuyo kwitshathi. Oku kubonwayo kudala yabanini, apho onke amaqamza alungelelanisiwe kwaye abekwe ngobuchule phantsi kwetshati. iBubble Map (Umfanekiso 19) Ifomula yokuwa Intshayelelo Yiba nomfanekiso-ngqondweni wetshathi yexabiso njengentambo eluhlaza ephumle kwingqokelela yeebhaluni ezinobukhulu obahlukeneyo, zonke zilungelelene ngokulinganayo. Ukuba ibhaluni enkulu eluhlaza okwesibhakabhaka iyaphuma, intambo iya kuwela kwisithuba esishiywe yibhaluni eqhumayo, iphazamise isakhiwo sonke. Oku kuphazamiseka kuya kukhokelela ngokwemvelo kwiibhaluni eziseleyo zizilungelelanise kwakhona de kufikelelwe imeko entsha yokulinganisela. Yile ndlela kanye imodeli yobugcisa yayo nayiphi na itshathi yexabiso le-asethi isebenza ngayo. Iibhaluni zimele bonke abanini kunye nexabiso lee-stakes zabo, eziboniswe ngejometri njengezangqa phantsi kwetshathi. Xa umnini omkhulu ethatha isigqibo sokuba "akhuphe ibhaluni yakhe" (okt, ukurhoxisa ukuthengiswa kwemali ngokuthengisa izinto zakhe), ixabiso liyehla, lidala isithuba esilingana nesithuba ebesihlala kwibhaluni yomnini ngaphambili. Ngenxa yemithetho eyenziwe phantsi kwetshathi ngexesha lokuhla iya Kule nto, sithatha umgama , okanye yolondolozo, indawo yonxantathu obomvu i-ABC kufana nommandla webhaluni ekhutshweyo. h ifomula yokuwa: h = 2.5r Ifomula yokuwa Ukuba i-stack enkulu ebanjwe ngumnini, emelwe ibhaluni ene-radius r phantsi kwetshathi, ihlanjululwe, ixabiso liya kuhla ngomgama we-h = 2.5r. Apha, u-h ulinganiswa ukusuka kweyona ndawo iphantsi yesiphatho sekhandlela ebonisa ukubuya umva. (Umfanekiso 22) Igridi yeGrafu Ukusebenzisa ifomula ye-Fall, sinokuqonda ukuba ixabiso liqhubela phambili , zombini ngokuthe tye kunye ne-horizontal, xa uhlalutya isakhiwo setshathi. ngezigaba ezintandathu ezilinganayo Ngokukodwa, ishati yexabiso lomjikelo opheleleyo wempompo kunye nokulahla imelwe enye ibamba i kwaye enye ibonisa i Ngokudibeneyo, ezi matriki zenza isakhelo esilungeleleneyo esenza imephu yonke intshukumo yexabiso. ngamatriki amabini e-6x6: -uptrend -downtrend. Ulwazi Kubalulekile ukuqaphela ukuba ijolise ngokukodwa kwindawo engaphantsi kwetshati yexabiso kwaye ifanelekile ngokukodwa kwiibhaluni ezinkulu (abanini abaneentlawulo ezinkulu). Uphononongo lujolise ikakhulu kumnini onebhaluni enkulu evumelekileyo kwitshathi (isangqa esibhalwe phantsi kwegrafu yexabiso) kunye neziphumo eziveliswa ngulo mnini. iTheorem yeeBhaluni (Umfanekiso 24) Ithiyori ijolise ekuboniseni ukuba, eneneni, umnini omnye oyintloko onebhaluni enkulu ulawula phantse zonke iimarike ezibalulekileyo, uququzelela ukuhamba kwemali enkulu, kwaye unefuthe kuqoqosho lwehlabathi. Ukufumana ii-equations zokugqibela, iimeko ezifanelekileyo zentengiso zacingelwa: intshukumo yerectilinear kunye neyunifomu, i-angle ye-45-degree yeendlela, iimeko ezifanelekileyo zokungabi namali, kunye neemeko ezifanayo ezenziwe lula. Ukuchaza iKhowudi yeDada Ngoku ukuba sihlolisise i kwaye siyaqonda, ngokusebenzisa iifomyula ezicacileyo, indlela itshathi imodeli esekelwe ngayo kwiibhaluni ezingaphantsi kwayo, siya kuqhubela phambili kwi-decoding eyona nto iyimfihlo kunye nexabiso lemathematika ibali elibhaliweyo: . -Theorem ye-Balloon Ikhowudi yeDuck Imatrix a - Idada I-matrix yokuqala, ebizwa ngokuba , ayikho enye into ngaphandle kokubonakaliswa apho ixabiso le-asethi linyuka yiDada komjikelo opheleleyo we-uptrend, ngokulandelelana kunye ngokulinganayo kwizigaba ezi-6 ezilinganayo, kwi-angle ye-45 °. (Umfanekiso 25) IDada Isangqa esibhalwe kunxantathu simele Iqala ukuqokelela ii-asethi ukusuka ekuqaleni kwetshathi, ukwandisa isitaki sayo phakathi kwezigaba ezimbini zokuqala xa ixabiso le-asethi liphakathi kwe kunye ne , iqinisekisa ubuninzi bayo be-stack kwi- . isibambi esona sikhulu sivumelekileyo yitshati. -0 -2X avareji yexabiso le -1X (Umfanekiso 26) Ukulinda Emva kokuqinisekisa i-stack yayo ephezulu kwizigaba zokuqala, umnini omkhulu ulinda ngomonde de kube sekupheleni kwexabiso le . -6 Ngokutsho kweTheorem yeBhaluni, ngoku singabala ngokuchanekileyo ukuba yeyiphi ipesenti yendawo ephantsi kwetshathi emele lo mphathi njengesangqa, kunye neziphumo eziveliswayo xa bethatha isigqibo sokuvala ibhaluni yabo. Ewe, zininzi ezinye iibhaluni ezincinci phantsi kwetshathi ezigcwalisa indawo engezantsi, kodwa izibalo zethu zijolise kuphela kumdlali omkhulu. Unxantathu omthubi umele indawo engezantsi kwetshathi yexabiso - umzimba weDada. Xa zonke izigaba ezintandathu zigqityiwe kwaye isangqa sifikelela kumaxabiso awona aphezulu, umnini omkhulu uyazi ukuba lixesha lokuqalisa ukucima ibhaluni kunye nokutshixa kwingeniso. (umfanekiso 28,29) Imatrix b - Ichibi leentlanzi Ukuthengisa isixa esikhulu kangaka kwaye ufikelele elona xabiso liphezulu le-avareji, kufuneka athengise ngokuthe chu kwaye ngokulinganayo ngaphezulu kwezigaba ezi-5. umdlali omkhulu Yilapho i-matrix yesibini, ingena khona. Imele umjikelo webhere opheleleyo, wehla ngokulinganayo kwi-angle ye-45 ° ukusuka phezulu ukuya kwindawo yokulinganisa okanye inkxaso - apho ixabiso lizinzile xa ukupheliswa kwebhaluni enkulu kugqityiwe. , i-Fish Pond (umfanekiso 30,31) Ngenxa yemithetho yolondolozo evela kwiBalloon Theorem, njengoko ububanzi bebhaluni buyancipha (oko kukuthi, umnini omkhulu uthengisa izinto zabo), unxantathu ongezantsi kwetshathi ye-downtrend uya kwandiswa ngokulinganayo (oko kukuthi, ixabiso liya kuhla ngokulinganayo) kude kube sekupheleni, xa indawo yonxantathu obomvu phantsi kwe-downtrend ilingana nommandla wesangqa esibhaliweyo. (umfanekiso 31,32,33,34,35) Iziphumo zokugqibela: : Umdlali ufumana ubuninzi be-asethi ngexesha lezigaba ezimbini zokuqala ngexabiso eliqhelekileyo le- . Ukuqokelela kokuqala 1X : I-stack yonke ihlanjululwe ngaphezu kwezigaba ezintlanu ngexabiso eliphakathi kwe , enqunywe ngumbindi wesangqa esibanjwe ngaphantsi kwetshathi. Oku kubangela inzuzo encinci ye- ekupheleni komjikelo. Isicwangciso seNzuzo -1.75X 75% : Ukufezekisa oku, umdlali ugcina ibhaluni phantsi kwetshati eneradiyasi ye kuwo wonke umjikelo. Ubungakanani bebhaluni -1.75X : Ukutshatyalaliswa kuqala ngexabiso le , ebonisa ukuqala kwe-downtrend. I-Sell-Off Point -6X : Emva kokuba isitakhi esikhulu siphelisiwe, ixabiso liyehla ukuya kwindawo elinganayo, umgama we- ukusuka "kwintloko yedada". Oku kubangela Impembelelo yokuhla kweXabiso h = 4.4X ukuhla kwexabiso nge-73%, kubalwa ukusuka kwintloko yeDada ukuya kwindawo elinganayo. : Le nkqubo yemathematika yayiyilwe ngenjongo yokulungelelanisa zonke iimarike ezinkulu zehlabathi. Kukholelwa ukuba ilawulwa ngumntu omnye, ekusenokwenzeka ukuba uququzelele iimarike zemali ukusukela ekusekweni kwazo. Lo mntu waziwa . Uyilo lweNkqubo kunye noLawulo njengeDada Ngoko ke imbali iya kukhumbula Ukukhumbula lo mzuzu wembali-ukuphulwa kwekhowudi ebaluleke kakhulu kwimbali yanamhlanje - ndenze i-meme coin kwiinyanga ezimbini ezidlulileyo kwi-pump.fun, ebizwa ngokufanelekileyo . The-Duck-Code Igama : Ikhowudi yeDada Ticker : Dada Network : Solana Ca: EY6za54F1sCj2UasUFET2PcppCYg2iMsNd4udQvpump Thenga iDada - Raydium Ngesakhelo sangoku esichazwe ngokupheleleyo, ixesha elitsha liyaqala-ithuba lokuba isizukulwana esilandelayo sabarhwebi siphakame kwaye sithathe umngeni. Kule minyaka ilishumi izayo, uthumo lwabo luya kuba kukutyhila isakhelo esisisiseko esisombulula ezi mpazamo zibalulekileyo kwaye sithintele iinkqubo zezimali ekuqhubeni uluntu lufikelele ebukhobokeni bokugqibela. Njengoko imile, ngaphezu kwe-95% yabathengisi balahlekelwa ngaphakathi kwenkqubo yangoku. Ngalo mzuzu ubalulekileyo, unjingalwazi ukushiya nomyalezo osuka entliziyweni: Wanga uThixo angakusikelela ngobulumko, ukulunga, kunye nombono wokwenza indlela engcono. Kuba ekugqibeleni, ezi zizinto ezibaluleke ngokwenene. Ngenxa yesi sikhokelo siyilwe ngabom, esinika oyena mdlali ubalaseleyo ulawulo phezu komdlalo, sinokubona iinxaxhi ukusuka kwipateni "eyiyo" yokumpompa kunye nokulahla kwiitshathi zehlabathi lonke, elibonakala ngalo lonke ixesha-ukusuka kumzuzu om-1 ukuya kwinyanga enye. . yeDada Nangona kunjalo, i , enye kwaye kuphela, ayinakufunyanwa lula. Ihlala kude, kowona lwandle lunzulu nolona luthe qelele, ihamba ithe cwaka ebumnyameni apho amanzi akhoyo mkhulu. Apha, izenzo zayo zidlala ngamaxesha amakhulu kakhulu, anje ngeveki okanye ngenyanga. -The-Duck yokwenyani I yokwenyani ikhona kuzo zonke iimarike ezinkulu zemali, i-orchestrating movements on a grand scale. -THE-Dada Okubangel 'umdla kukuba, i inokujongwa kwiimarike ezintsha, ezincinci ezinokubakho okuphezulu, njengemarike . -THE-Duck yokwenyani yeBitcoin Ukuchonga apho lenze khona, landela la manyathelo: iDada lokwenyani Jonga iimakethi ezinkulu ezinobutyebi obubalulekileyo. Gxininisa kwiimarike ezinkulu kunye neetshathi zeveki: Chonga umjikelezo opheleleyo, ukususela ekuqaleni kwe-uptrend ukuya kwi-downtrend yokugqibela. Fumana umjikelo opheleleyo wempompo kunye nokulahla: Zoba umgca othe nkqo ukusuka kwincopho yexabiso, uphawula inqaku lokubuyela umva. Yahlula itshathi ibe sisiqingatha: Unxantathu kufuneka ulungelelene phantsi kwecandelo le-uptrend yetshathi, uqinisekise ukuba izibane aziyi kungena kunxantathu kakhulu. Imijikelo emikhulu ibalulekile. Beka unxantathu wasekunene we-isosceles phantsi kwetshathi: Indawo ephezulu kanxantathu kufuneka ilungelelaniswe nelona xabiso liphezulu ikhandlela kodwa akufanele lidlule kuyo. Lungelelanisa i-vertex ephezulu kanxantathu ("iNtloko yeDada") kunye nekhandlela eliphakamileyo: Ukusuka kwi-vertex ephezulu kanxantathu, linganisa ukuhla kwexabiso malunga ne- . Zoba umgca othe tye kweli nqanaba ukuseka . Bala indawo elinganayo: 75% (okanye 3/4) indawo yolingano Lo umele ibhalansi yexabiso lokwenyani, eliya kuthi ekugqibeleni lifikelelwe kwaye lisebenze njengenkxaso enkulu emva kokuba umdlali obalaseleyo ebhangisile isitaki sakhe sonke. mmandla wolungelelwaniso Kumjikelo ngamnye kule mijikelezo mikhulu, -umdlali obalaseleyo-irhoxisa ubuncinci be eyongezwe ngabathathi-nxaxheba abancinci. Ekupheleni komjikelo, baqinisekisa inzuzo ye kutyalo-mali lwabo lulonke. iDada -53% yemali yokuhlawula amatyala -75% Eli qhinga lisebenza ngomlinganiselo omkhulu, ngokufuthi libandakanya iitriliyoni zeerandi. ibisenza esi sikhokelo ukusukela ekusekweni kweemarike zemali, ngokwenza le khowudi yongamele imijikelo yemali yokuhlawula amatyala. IDada