Nzira yekunyengedza, kushandura uye kuzviratidza iwe muchiedza chakanaka muhukuru hwemasvomhu?
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Nzira yekunyengedza, kushandura uye kuzviratidza iwe muchiedza chakanaka muhukuru hwemasvomhu?

Mukutanga kwaMbudzi 2020, Mateusz Morawiecki akataura kunyanzvi dzemasvomhu dzeCentre for Mathematics Modelling kuti vakaratidza kuti Strike yeWomen yakakonzera kuwedzera kwezvirwere ne5000. Ndine shamwari muCentre ino - vakatoziva kuti vakafungidzira izvi kubva kune kutaura kwaVaM. - kuna Mateusz.

Ndinoda kusimbisa kuti, pamwe zvinopesana nemusoro wechinyorwa, handingarumbidze kana kushoropodza mutungamiriri wehurumende aripo. Ndinofunga kuti mathematics harisi simba rake, asi kushayiwa njere kwakadaro hakuzomutsi zvirambidzo kubva kune vazhinji venyu. Uye kazhinji, nyanzvi yemasvomhu haingave iri munzvimbo ine mutoro, asi isina kuchenjera muhupenyu nezvematongerwo enyika here? Ndichataurawo kuti Donald Tusk, mune aimbove mutungamiriri wenyika, akati (senge achiseka): "haugone kunyora bvunzo dzemasvomhu usina kudhawunirodha." Iwe unoziva, gore remasvomhu murume wako, seni. Julian Tuwim aive akapusa nekusaziva kwake masvomhu. Uye vakandidaidza kubhodhi. Ndichangoona chete kuti takava nekutanga mune masvomhu muPoland. Yaive (kashanu) Kazimierz Bartel, 1882-1941, rector weLviv Polytechnic, yakanakisa geometer. Handikwanisi uye handiedzi kutonga kutonga kwake.

Kupukuta muromo kune zvakawanda uye zvekare. Mabhuku, matete nemakobvu, akanyorwa nezvawo. Pane nzira dzakawanda, ndichataura dzimwe, ndichatanga nedzinosonwa neshinda dzakakora. Zvichida munguva yakapfuura kwaitova nedzimwe nzira dzakadai, nokuti muduramanzwi uye yekutanga yerudzi rwayo Duramazwi remutauro wePolish. Samuel Bogumil Linde (rakabudiswa muna 1807-1814) tinoverenga:

Nyanzvi yemasvomhu, nyanzvi yemasvomhu, juggler yemasvomhu.

Hatizivi zviito zvakapfava, uye tinoda chaizvoizvo kuzviratidza timene. Makore mashoma apfuura, mutori wenhau weOlsztyn akanyora kufumurwa kwenguva refu pamusoro pekuti vagadziri vari kutinyengedza sei. Semuenzaniso: papakiti yebhota inoti "mafuta emukati 85 muzana" - i85 muzana mucube kana mukirogiramu? Yese yePoland yakarira. Asi vadzidzisi vesvomhu vakangwara chete (kureva, vese vadzidzisi vesvomhu!) vakaona kukanganisa mukufunga kwemumwe weaimbova makurukota edu, Kazimir Martsinkevich, makore mazhinji apfuura. Ndichachinja nhamba zvishoma kuti zvive nyore kuona. Akataura chimwe chinhu chakadai: takashandisa 150 mamiriyoni zloty pakugadzira mugwagwa, uye takagamuchira mamiriyoni makumi mashanu kubva kuBrussels, saka tichapedza 50 chete. Takachengetedza 100 muzana. Zvakanaka, 50/50 i100 muzana. Kukanganisa kupi? Uye dai taiva nemamiriyoni zana, taizochengeta marii? Kukanganisa kwacho kuri pachena. Tichitaura nezvezvikamu, zvakakosha kujekesa kuti tinozvitora kubva kupi. Uku kukanganisa kwakajairika kunoitwa nevadzidzisi. Vanoti chikamu chimwe muzana. Izvi hazvibvumidzwe! A zana muzana, asi nguva dzose chinhu. Kana tikashandisa zana nemakumi mashanu uye tichishandisa zana, tinochengeta makumi mashanu kubva pa50, inova 100%. Prime Minister Martsinkevich aiva mudzidzisi wefizikisi. Zvimwe akanga ari mudzidzisi akaipa zvokuti akanga asinganzwisisi zvikamu zvezana, kana kuti akazvinyengedza noune kuti awane muuyo wakanakisisa wezvamatongerwe enyika. Ndingada zvekupedzisira. Rega ndikuyeuchidze nezvekare, pre-war anecdote. “Baba, ndachengeta masendi makumi maviri nhasi!” "Zvakanaka mwanangu! Sei? "Handina kukwira tram kuenda kuchikoro, ndakaimhanyira!" "Ah, mwanakomana, mhanya kechipiri kune tekisi - uchachengetedza 150 zlotys!"

Mazano, mazano! Mazhinji emazano ezvinonzi kugadzira accounting anobva pane zviri pamutemo maburi (mutemo wakanyorwa pamabvi = crap) uye kutsauka kubva papfungwa yeavhareji. Heino muenzaniso: mubairo wemunhu wese ungakwidzirwe sei uchidzikisa avhareji yemuhoro? Nyore: ipai mari shoma kune avo vari kutoshanda, uye mukuita izvi, hinda vanhu vazhinji vanobhadharwa. Avhareji ichadonha… uye muchirevo chemuhoro wepasi rose, zvaive kunze kwemubvunzo. Zvinonzi, kutozosvikira muna 1989, mumwe mutungamiriri wekambani yehurumende akazvibata nenzira iyi.

Iwe unogona kurwa zvakananga, uchishandisa kusagona kuverenga kwemasvomhu kweakawanda madenderedzwa enzanga uye nekubatanidza masvomhu (??) nemabhuku (??). Heino demagogic asi zvinyorwa zvekunyepedzera (zvisinei zvichibva pakudhindwa chaiko, pamberi pa2010 kuti itariswe).

Vanamukoti vanenge vari nani. Makore maviri apfuura, muhoro wepakati wemukoti mudunhu reSochaczew waive PLN chiuru nemazana mashanu. Gore rapfuura, hurumende yakawedzera mari yekushandisa pahutano nehafu yebhirioni zlotys. Izvi zvichange zvakapetwa kaviri kupfuura mumakore apfuura. Hermenegilda Kotsyubinskaya, mukoti paCentral Clinical Hospital, anoti: mwedzi wapera muhoro wangu waiva PLN 4500. Izvi zvinoreva kuwedzera kukuru, katatu kwemari yekuchengetedza hutano.

Pane munhu anonyengera here? Kunyangwe nhamba dzakafanana, unogona kuona zvatiri kuenzanisa pano. muhoro wepakati muchipatara chepurovhinzi nemuhoro wemunhu mumwe mumwedzi wakapihwa. Zvichida Hermenegilda ndiye mukuru wevanamukoti, pamwe aive neakawanda ekuwedzera mashifiti mwedzi uno, uye kunze kweiyo, CRH ine muhoro unokosha? Pamusoro pezvo, iyo PLN 1500 yakataurwa imari yemuhoro uye hazvitaurwe kuti muhoro waMs. Kociubinska wakakwana here kana kuti wakazara. Hafu yebhiriyoni imari yakakura kumunhu, asi zvinorevei padanho renyika? Isu tinoona ipapo ipapo kuti "hafu yebhirioni" inonzwika zviri nani propaganda pane "500 miriyoni". Zvakaenda 500 miriyoni zloty hazvina kutaurwa. Hazvizivikanwe kuti sei 500 miriyoni zł zvakapetwa kaviri.

Ndingavandudza sei zvidzidzo zvangu zvekudzidza? Chikoro X chinoshoropodzwa nevakuru vedzidzo nekuda kwezvidzidzo zvisina kunaka (kureva GPA yakaderera, kunyangwe izvi zviri zvinhu zvakasiyana!). Mukuru wechikoro anowana nzira yekugadzirisa zvinhu zvishoma. Anotamisa vadzidzi vakati wandei kubva mukirasi A kuenda kukirasi B uye anozadzisa chinangwa chake: avhareji zvibodzwa mumakirasi ese ari maviri akawedzera.

Izvi zvinobvira sei? Kana paine mudzidzi mukirasi A ane GPA yakaderera pane avhareji mukirasi A, asi yakakwirira kupfuura avhareji mukirasi C, zvino kumuendesa kukirasi B kuchava nemugumisiro wakafanana. Kutenda kunobva pane izvi Mechislav Denda i Leshek Mazan, vanyori ve "Galician Encyclopedia" (imba yekudhinda "Anabasis", Krakow), kuti pazuva apo Sigismund III Vasa nedare rake vakatamira kuWarsaw, chiyero chehuchenjeri chakawedzera mumaguta maviri aya.

Isu tinowanzo kududzira data. Uku ndiko kunyanyozivikanwa kusiri kwekutanga kutambanudza. Ini ndichatanga neakanyanya benzi, asi akavimbika muenzaniso. Makore mazhinji apfuura, Express Wieczorny yakanga isisashande yakataura kuti avhareji yemuhoro paYunivhesiti yeWarsaw yaizova 15000 24 złoty (ipapo złoty). Rector aifanirwa kugamuchira muhoro wepamusoro, 6, wepasi mubatsiri mubatsiri, 15. Avhareji XNUMX !!! manipulation pfungwa yeavhareji imusoro wekugadzirisa.

Heino mimwe mienzaniso miviri. Unoziva here kuti munhuwo zvake muPoland ane asingasviki makumbo maviri? Zvakanaka, hongu: kune avo vane imwe, asi hapana ane vatatu! Muenzaniso wechipiri wakajeka zvikuru. Eya, mudzimai wangu neni tine motokari dzedu pachedu. Mutakuri wangu anodya mafuta akawanda, 12,5 litres pa100 km. Izvi zvinoreva kuti 100 km ndinoda marita masere. Mudzimai wangu ane Mitsubishi diki - inodya marita masere pa8 km. Izvi zvakare zvakawanda, asi kuitira kuti kuverenga kuve nyore, iyo data inoda kugadziriswa zvishoma. Tinowanzo kwira imwe chete. Naizvozvo, avhareji yekushandisa mafuta emota dzedu mbiri ndiyo arithmetic avhareji ye8 uye 100. Wedzera kumusoro, kupatsanura ne 8. Inobuda 12,5 malita. Chokwadi, zvinokosha kuti tinowanzochovha nenzira imwe cheteyo. Saka ndeipi chiyero chekunyengera?

Oo, pano. Wanga uchiziva here kuti kushandiswa kwemafuta eUS kunoverengerwa zvakasiyana? Vachapindura vachiti: Ndinotyaira mamaira mazhinji kubva pamarita rimwe. Ngatisiye kushandurwa kwemarita kuita marita uye mamaira kuenda kumakiromita, asi tishandise kumota dzambotaurwa: yangu uye Yedu Yedu Yekuongorora Yekuongororwa Board. Ndichangotyaira makiromita masere parita (8 yakakamurwa ne100), mudzimai wangu 12,5 km (12,5 yakakamurwa ne100). Paavhareji, litita imwe ichatitora ... iyo arithmetic zvinoreva nhamba idzi. Isu takatoverenga izvi kamwechete. Inobuda 8 nekota - panguva ino 10 makiromita.

Ngatidzokerei kuEuropean standards. Kana ndichityaira 10,25 km parita rimwe, unoda marita mangani pa100? Ngatitorei karukureta: zana rakakamurwa na 100 ndiro ... 10,25. Avhareji yekushandisa mota dzedu i9,76 ... uye zvisati zvaitika yaive 9,76. Kukanganisa kupi? Aihwa! Chaizvoizvo, kwete mumasvomhu, asi mukududzirwa kwemazwi okuti "tinofamba zvakaenzana kazhinji". Kunyatsoongorora kucharatidza kuti mukududzirwa kwekutanga izvi zvinoreva "tinotyaira nhamba imwechete yemakiromita pamwedzi", uye mune yechipiri "tinoshandisa chiyero chakafanana chepeturu." Musiyano wechitatu unogona kuwedzerwa: tinopedza nguva yakaenzana yekutyaira (mukadzi anotyaira zvakanyanya)… uye zvingave zvakasiyana. Kana tichiyera chimwe chinhu, tinofanira kuva netepi yekuyeresa.

mamwe mamiriro akajeka. Gangaidzo raSimpson. Isu tinoongorora zviri nani kubvisa dandruff: Coca-Cola kana Pepsi-Cola. Tinoyedza vakadzi nevarume. Heino data. Anenge ese masvomhu anogona kuitwa mundangariro.

Ndapota, Muverengi, gara pasi. Kuti usadonha kubva mukunzwa. Ndeipi chinwiwa chakanakisa kubvisa dandruff muvarume? Ndakamaka nhamba huru netsvuku uye diki neblue. 25 inopfuura makumi maviri, handiti? MaGentlemen: tenga Coke for dandruff! Ko vakadzi? Pamwe neimwe nzira? Kwete, 20> 60. Madzimai ivai neCoke.

Iyo kambani inotenga zviziviso paterevhizheni, apo vakaroorana vanofara (nenzira yekare: murume nemukadzi) kubvisa chirwere ichi chinyoro nerubatsiro rweCoca-Cola. Asi pane Pepsi ad. Zvakanaka, nekuti paive nevanhu mazana maviri nemakumi mashanu pabvunzo pano nepano, zvinoreva kuti vaive vakapatsanurwa zvakaenzana. Coca-Cola yakabatsira vanhu makumi masere (250%), Pepsi yakabatsira vanhu zana, 80%. Pascreen, mhomho yavanhu iri kudurura dandruff yavo nepo gaba rePepsi richikunguruka pamberi pekamera. “Chizvarwa chedu chakatosarudza!”

Kukanganisa kupi? Aihwa. Ndinoreva kuti masvomhu akanaka. Kana kuti zviri nani arithmetic. Kuti tive nemasvomhu akarurama, tinofanira kutora sampuli dzinofananidzwa nechikamu chakafanana cheM seK. Zvikasadaro, kuverenga hakuna musoro, sekunge tiri kuverenga avhareji yehuremu hwemosquito nenzou. Tinogona kuwedzera uye kupatsanura maviri. Takaverenga chii? Eya, huremu hweavhareji hweumhutu nenzou. Zvichatipei? A thread.

Asi ngatizviendese kune zvematongerwo enyika, kuUS, hongu. Vatsigiri vemumwe wevamiriri, vanoti Bump, vangachema: isu tiri nani kune vese madzimai nevarume. Vhotera Jozef Podskok! Vatsigiri veTriden vaizonyora pamabhena: Isu tiri vepamusoro pasirese. Vota dhadha rine 3 dens (Donald).

Zvakanaka, zviri sei chaizvo? Ichi ndicho chikamu chakaoma. “Chaizvoizvo” zvinorevei? Tinogona kuti: "Chokwadi ndicho chinobvumirana nechokwadi." Zvisinei, mumwe mubvunzo unomuka: sei kuyera "kunyorerana kune chokwadi"? Asi iyi haisisiri masvomhu, uye ndinoda kuomerera pairi, nekuti pano chete ndinonzwa ndine chivimbo.

Nezve gangaidzo iri (rakadanwa Gangaidzo raSimpson) yakavakirwa pane zvakawanda, zvimwe zvakawanda. Yave ichizivikanwa mumasvomhu kwezana remakore, asi (zvishoma) munguva pfupi yapfuura masainzi ezvemagariro akafarira mazviri. Izvo zvese zvakatanga nenyaya yekuti pane imwe yemayunivhesiti eAmerica rector akaona kuti vasikana vaigamuchirwa zvishoma pane vakomana. Akakumbira mareports kubva kumadhipatimendi… uye zvakazoitika kuti mufekisheni yega yega reshiyo yevavhoterwa yaive yakakwirira kuvasikana pane yevakomana - uye zvakapesana. Ini ndinokurudzira kuti muverengi adzokorore muenzaniso wePepsi neCoca-Cola kune mamiriro emadhipatimendi eyunivhesiti.

Mamiriro akanyanya kujeka. Wese munhu ari munyika yemasvomhu anoziva "Nebraska muenzaniso". Pane imwe nzvimbo muNebraska chimwe chitoro chakabiwa uye bhuku remari rakabiwa. Zvapupu zvakangorangarira kuti izvi zvakaitwa nevaroorani vechienzi: murume ane ganda dema ane ndebvu uye mukadzi ane mativi ekumabvazuva. Vakabuda (mavhiri achiridza mhere semufirimu) neToyota yeyellow. Maawa mashoma gare gare, mapurisa akasunga ... Toyota yeyero, umo maive neAfrican American yaive nendebvu, ichiperekedzwa nemukadzi wekuAsia. "Ndiwe!". Mahandcuffs, vedare. Nyanzvi yemasvomhu ine ruzivo yakaverenga kuti seti yakadai (Negro + Asia + yero Toyota) yakasarudzika zvekuti 99,999% yemakororo inodiwa. Akakanda mazwi emusoro muhoro: zviitiko zvekutanga, Bernoulli dhizaini, mubatanidzwa. Vaviri vakaenda kunogara. Zvisinei, vakatsvaga nyanzvi yemasvomhu, iyo yakati mukukwidza nyaya yacho: “Zvakanaka. Zvitongerei, mutangiri wangu akaverenga kuti mukana wekuti mota yakasangana nevatyairi vaviri ichave yero Toyota ine nhema uye mukadzi wechiJapan akadaro uye akadaro. Asi pano tinoda kugadzirisa rimwe dambudziko, mukana wemamiriro ezvinhu. Ndeupi mukana wekusangana nevamwe vaviri (kana vatatu, kana ukabatidza muchina), kana tichiziva kuti akadaro atovepo. »

Hatizivi kana mutongi ainzwisisa imwe yenharo dzacho. Zvichida chete kuti mhinduro inobva pakusarudzwa kwemamiriro acho ezvinhu. Zvaiva zvakwana. Akadzima mutongo.

Kurova musoro nedanda. Tagara tichibata demagogy yakadaro (1).

Mabhawa anotyisa: mitengo yemarasha yakapetwa kaviri. Kutarisa manhamba kunosimbisa: ivo vakakwira kubva kuPLN 161 patani kuenda kuPLN 169 (exercise: nezanai muzana?). Asi sezvo vanhu vakawanda vachidzidza nemaziso, vachayeuka girafu, kwete nhamba. Pasina kupinda munhaurirano dzezvematongerwo enyika, ndinofanira kutaura kuti nzira yakafanana yakashandiswa nehurumende (iyo kubva muzhizha ra2020), ndichifungidzira kuwedzera kwekushandisa pagomarara. Uku hakusi kushoropodza hurumende iyi. Iyo inotevera ichashandisawo nzira iyi. Yakachengeteka uye inopa mhedzisiro yekukurumidza ("inoonekwa").

Ngatipfekei masiki. Mitemo yekupararira kwedenda iri nyore uye "mairi" haigoneki. Huwandu hwevanhu vane hutachiwana huri kukura nekukurumidza, vazhinji vavo vatovepo. Aya ndiwo mafambiro anoita avalanche. Ndizvo zvinotaura masvomhu. Kune, zvisinei, hombe "asi" - pamwe inopfuura imwe. Kutanga, zvakadaro, nepo "hapana chinoitika". Kana kuputika musango kunomiswa, apo denda rinoderedzwa nemaitiro akachenjera edu tose, saka isu hatizonyanya "kutenda" masvomhu sekugadzira muenzaniso wakasiyana. Ehe, imwe yemasvomhu modhi yakasiyana (sepaNebraska chitoro chekubira muenzaniso). Masvomhu, sainzi yakanaka, inongobatsira kunzwisisa nyika. Zvakawanda, asi zvakawanda chete. Ngationei: tinosvetuka anenge mamita matanhatu nedanda, pasina iyo hatigoni kunyange kusvetuka 2,50. Wotora danda muruoko rwako wosvetuka. Ane nhamo, handiti?

kushandiswa masvomhu muSocial Sayenzi yakaoma, ine ngozi, uye yakaipisisa, inoedza. Vagadziri veTatras vanoibatanidza neDrege ravine: munyoro, uswa hunodzika kubva kuGarnets kusvika kuChyorny Stav ... Aya ndiwo maitiro anotarisa kubva kumusoro. Nenguva isipi mupata unoshanduka kuita musungo kubva kune TOPR chete, iyo Tatra Volunteer Rescue Service, inogona kutiponesa.

Nyanzvi dzeMasvomhu dzinodaidza kuwedzera uku kwemafunguro uye denda exponential kukura. Sezvandatonyora, kukura uku kunogona kudzvinyirirwa, asi kwete zvakare. Nekudaro, ngatitarisei mativi maviri eiyo curve imwechete (pamwero wakasiyana). Ndiani achanzwisisa, ini ndinopa fomula yebasa iri: y = 2xmaviri kusimba. Ndapota tarisa machati. Kukurumidza kukurumidza kukura kunoitika kubva papi? Wese munhu acharatidza: iri pedyo kana kushoma padyo nenzvimbo yakanyorwa nedoti hombe. Asi pagirafu rekutanga kukosha uku kuri pedyo ne1,5, kwechipiri kunopfuura 3, uye chechitatu - 4,5. Kana pane imwe mhando yekuratidzira kwemugwagwa ipapo, saka tinogona kuti: ndapota, kubva panguva yekuratidzira, iyo curve yakakwira, yakakwira zvakanyanya. Mukubwinya kwemasvomhu! Uye ichi chingori pfuma yeexponential curve. Chikero chinoenderana nenzvimbo iyo kukurumidza kukurumidza kunotanga inogona kusarudzwa zvakasununguka (2).

Sarudzo dzemutungamiri wenyika ... muUS, hongu. Tichiri kurangarira kureba kwaNovember 2020. Nyika, iyo ichiri nhamba 1 simba, haisati yatarisana nekuverenga peji. Pakupedzisira zvakazoitika Joe Biden haana kungohwina mamwe mavhoti esarudzo chete, asi angadai akakunda dai sarudzo yakatorwa neruzhinji. Mumamiriro ezvinhu andichatsanangura, hapana kunyengedza kwemasvomhu - ingori muenzaniso wekuti mhedzisiro yesarudzo inogona kutsamira pane yakagamuchirwa sarudzo. Kana uchiziva, zvakaoma kupikisa. Mutsigiri munhabvu anogona kuona kurambidzwa kwebhora remaoko kunge kwakashata, asi kana kukasateererwa, muripo unopihwa.

Fungidzira kuti zvinotevera vari kukwikwidza chigaro chemutungamiri weGreece: Apollonius, Euclid, Heron, Pythagoras i Zvakadaro. Ani nani anovhota achave mutungamiri wenyika. Pane 100. Vakasarudzwa nemavhoti eruzhinji, uye mapato anomirirwa muParamende, kureva Circus Maximus, akagadza kurongeka kwezvavanoda. Pane chakaipa nekuti Circus Maximus izita rechiLatin, kwete rechiGiriki. Asi ngatisaite nharo nemasources.

Ndiani achava mutungamiri? Ngationei kuti zvinoenderana sei nekugadzwa. Zvinodiwa nebato zvinofanirwa kunzwisiswa nenzira yekuti vavhoti varo vavhotera munhu wekutanga kubva pamazita asara musarudzo mushure mechikamu chinotevera.

  1. Kana mutongo uchiti munhu anenge aisa vavhoti vakawanda panzvimbo yekutanga ndiye anokunda, Pythagoras ndiye achakunda, nekuti achasarudzwa ne25 + 9 = 34 vhoti. Izvi ndizvo zvinoitika kuchikoro patinosarudza, semuenzaniso, mudzidzi akanakisa. Munzvimbo yedu: Pythagoras anosarudzwa nevanhu!
  2. Musarudzo dzemazuvano dzemutungamiri wenyika, yechipiri round system ndiyo inonyanya kushandiswa. Isu tinovhotera munhu mumwe chete, asi kana pasina mumwe wavo anopfuura makumi mashanu kubva muzana, chikamu chechipiri chinoitwa. Anokunda ndiye anowana mavhoti akawanda, kureva kuti, mavhoti akawanda kupfuura anopikisana naye. Muchiitiko ichi, Pythagoras (50 mavhoti) uye Thales (34) vachaenda kumutambo wechipiri. Muchikamu chechipiri, vavhoti vanogovera mavhoti avo zvinoenderana nezvavanoda. Vese kunze kwevaPythagoras vanosarudza Thales kune Pythagoras. Aya ndiwo mamiriro ezvinhu anowanzoitika apo bato rine vavhoti vakaoma uye rakakomberedzwa nekusada. Saka munguva yekuwedzera, Pythagoras haazogamuchire vhoti imwe chete. Mhedzisiro 20:66 ichifarira Thales uye nekukunda kwakasimba. Mamiriro ezvinhu akafanana akaitika muna 34 muSlovakia, apo mumiriri uyo akahwina mutsara wekutanga akarasika mune yechipiri. Zvakanga zvakafanana mumasarudzo emutungamiri muPoland muna 2001: mutungamiri akakundwa muchipiri mushure mekutanga kwekutanga. Rarama nyaya dzePresident!
  3. Mubhasikoro, inonzi inonzi Australian system inoshandiswa. Mushure memakumbo ega ega, iyo yekupedzisira inobviswa. Iyi vhezheni yemutemo wesarudzo inonzi "election of directors". Pasi pehurongwa uhu, mutungamiri wekutanga wePoland yakazvimirira, Gabriel Narutowicz, akasarudzwa. Zvaizotaridzika sei muGreece yedu?

Nyaya yacho yakanyanya kuoma. Please track. Muchikamu chekutanga, Euclid akawana mavhoti mashoma uye akasiya (zvine urombo, nyanzvi yemasvomhu yakanaka kudaro!). Bato rinozovhota muchikamu chechipiri chechipiri pagwaro raro: Tsaplya. Muchikamu chechipiri Heron ine 19 + 10 = 29 mavhoti. Apollonius inobviswa (17 mavhoti). Bato, wozovhotera Heron. Muchikamu chechitatu Pythagoras (fixed electorate) ane mavhoti makumi matatu nemana, Thales 34 uye Heron 20 + 29 = mavhoti makumi mana nematanhatu. Nyaya dzabuda. MaFalesians (Bato B) havadiwo maPythagoreans - ivo vanosarudza vashambadziri. Vamwewo, kunze kwemapato akatsiga A naE. Muchikamu chekupedzisira, Heron anokunda nyore Pythagoras 17:46. Vivat Mutungamiri Heron!

     4. PaEurovision Song Contest, mapoinzi gumi nemaviri akapihwa nzvimbo yekutanga mune rondedzero, gumi panzvimbo yechipiri, 12 yechitatu, zvichingodaro. Ngatitorei nezve chibodzwa chimwechete 10-9-6-4-3. Saka mapoinzi akapihwa mumitambo mitatu yemitambo (zvikwata zvitatu, vatambi vaviri mumakwikwi ega ega, muna 2 Poland yakakunda USA neGreat Britain!). Mibairo yedu ichave seizvi:

Euklides:       4+2+3+4+6+4=23.

Apoloniusz:  2+3+4+5+3+3=20.

Цапля: 1+4+6+3+4+1=19.

Сказки: 3+6+2+2+2+2=17.

Pitagoras:     6+1+1+1+1+6=16.

MaGiriki, heino Mutungamiriri wenyu Euclid!

     5. Vaverengi vanofungidzira kuti isu tinongoda kuverenga mavhoti kuitira kuti zvibude kuti Apollonius ndiye akanakisa. Chokwadi, Apollonius ndiye akanakisa - nekuti ndiye akanakisa. Wese munhu anorasikirwa naApollonius! Sei?

Kune vangani vavhoti vakaisa Apollonius pamusoro peHeron? Ngativerengei: 25+17+9=51 zvinoreva ruzhinji. Kwete zvakawanda, asi zvakadaro.

Kusvika kupi Apollonius pamberi peEuclid? 20 + 19 + 17 = 56, vazhinji vavo.

Vangani vanoda Apollonius pane Thales: 19+17+10+9=55>50.

Pakupedzisira, Apollonius wePythagoras anosarudza 20 + 19 + 17 + 10 = 66 vavhoti kubva pazana.

Kubva panguva iyo - vanhu vechiGiriki, vanogona kufunga zvine musoro - kubva ipapo, kupfuura zvose, Apollonius anosarudza chero mumwe mumiriri; mushure mezvose, ndiye anofanira kutitonga kwenguva inotevera! Swedera pedyo, Apollonius, Mutungamiriri wedu akasarudzwa! Iwe uchave wedu 44.

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