Ndeipi mativi mudzi?

Pakati yakatarwa kwezivo, ndiro chiratidzo kuverenga pakutanga ndiye arufabheti. Next, mu chete "kukosha" maatomu akafanana ndizvo Kuwedzera-chokuwanziridza unyanzvi uye yakabatana kwavari, asi neizvi zvinoreva, svomhu kubvisa, nokupesana. Zvidzidzo zviri kure unyanzvi chikoro pauduku, kushumira nokutendeka masikati nousiku: TV, pepanhau, SMS inivhoyisi. Uye kwose kwose, tinoverenga, nyora, maonero, wedzera, bvisa, muwande. Uye, ndiudzei, kuti kazhinji une upenyu, achibvisa midzi, kunze sezvo munyika? Somuenzaniso, akadaro zvemafaro basa, zvakadai, yaiungana pamudzi nhamba 12345 ... Pane upenyu mune hwekare imbwa? Inoziva? Hongu, hapana nyore! Where karukureta wangu ... Uye pasina izvozvo, ruoko kuisa, zvishoma?

Ngatitangei tsanangurai chii - yaiungana pamudzi nhamba. Kazhinji, "dzokubvisa mativi pamudzi nhamba" zvinoreva kuita svomhu kushanda pakatarisana Exponentiation - ndizvozvo iwe uye kubatana zvakapesana muupenyu kushanda. Exponentiation, ngationei uti, sikweya, ndiye chokuwanziridza ane nhamba kwoga, kureva, sekudzidziswa kuchikoro, X * X = A kana zvimwe vakanyoresa X2 = A, uye mashoko - "X akaenzana akaenzana A". Ipapo Ivan Kuchin dambudziko iri: yaiungana mudzi A, X is nhamba huri chakavakwa pachivara akaenzana A.

Square midzi

Kubva nzira svomhu nzira chikoro vanozivikanwa kadambari "mu mbiru" kuti rubatsiro kuita chero Masvomhu vachishandisa yokutanga ina arithmetical kushandiswa. Maiwe ... padare, uye kwete chete yaiungana midzi algorithms izvi havapo. Zvino iyi, sezvo mativi mudzi pasina karukureta? Inobva tsanangudzo sikweya mudzi goho - zvakafanira kusarudza mugumisiro ukoshi ndakafanana simba nhamba vane sikweya anosvika kukosha radicand. Ndizvo zvose! Usava nguva ipfuure kweawa kana maviri, sezvo zvichibvira kuverenga, achishandisa rinozivikanwa nzira chokuwanziridza mu "shongwe" chero mativi mudzi. Kana iwe uri wakasununguka zvakakwana kuita maminitsi mashoma. Kunyange kwete mazhinji chaizvo User karukureta kana PC inoita chimwe zii swoop - mberi.

Asi zvakakomba, mativi mudzi zvinowanzooneka akaita kushandisa nzira "atirari maforogo": kutanga kutora nhamba ane mativi, nehasha rinoenderana radicals. Zviri nani kana "yedu sikweya" zvishoma pane aya. Zvadaro, chinja kuwanda kwavo nemano, kunzwisisa, somuenzaniso, kane maviri, uye ... zvakare akaenzana. Kana mugumisiro mukuru nhamba pazasi mudzi successively anoruramisa yepakutanga nhamba iri zvishoma nezvishoma kusvika "shamwari" ayo pasi mudzi. Sezvaunogona kuona - hapana karukureta, chete anokwanisa kuonekwa "iri shongwe '. Chokwadi, kune vakawanda zvesayenzi uye akataurirana uye optimized algorithms kuti kadambari mativi midzi, asi kuti "musha kushandiswa" yaunodya kumusoro anopa 100% chivimbo mugumisiro.

Oh, ndaitosvika vakakanganwa kusimbisa ayo wakawedzera kuverenga, ngaaverenge mativi pamudzi kare akarongwa nhamba 12345. Ita danho nedanho:

1. Tora intuitively, X = 100. We overenga: X * X = 10,000 kunzwisisa panguva nokukwirira - mugumisiro idukusa 12345.

2. Edza uyewo intuitively, X = 120. Zvadaro: X * X = 14400.I zvakare pamwe kunzwisisa hurongwa - mugumisiro zvinopfuura 12345.

3. pamusoro vakawana "forogo" 100 uye 120. Sarudzai nhamba itsva - 110 uye 115. We kuwana, ukuwo, 12100 uye 13225 - Fork nhete.

4. Edza "anongoitika" X = 111. * Get X X = 12321. nhamba Izvi pedyo zvokuti 12345. Sezvavakaita inodiwa yakarurama "vakwane" anogona kuramba kana kumisa pamusoro zvabuda yapihwa. Ndizvo zvose. Sezvazvakanyorwa akavimbisa - zvose zviri nyore chaizvo uye pasina karukureta.

Vakasvimha nhoroondo ...

Akadonhera pamusoro pfungwa kushandisa mativi midzi achiri Pythagoreans, vadzidzi chikoro uye vateveri Achibvuma pfungwa yaPythagoras, 800 BC uye zvadaro "akamhanya" kuti zvinhu zvitsva pasango nhamba. Uye kupi zvinobva?

1. Kugadzirisa dambudziko pamwe nokubvisa mudzi, anopa Somugumisiro muchimiro boka itsva nhamba. Vakadaidzwa safunga, ndiko kuti, "mapenzi" nokuti havana kunyorwa nhamba yakakwana. The muenzaniso kupfuura chaiwo uyu mhando - yaiungana mudzi 2. Izvi nyaya unoenderana dzemaitirwe ari diagonal ane mativi ine divi akaenzana 1 - ndiro simba pachikoro Achibvuma pfungwa yaPythagoras. Zvakazozivikanwa kuti netriangle pamwe chaizvo zvakananga Ukuru chete divi, kuti hypotenuse ane saizi kuti kunoratidzwa nhamba, umo "hakuperi." Saka masvomhu akaonekwa safunga nhamba.

2. zvinozivikanwa kuti kumhanya dambudziko rakatanga. Zvakazozivikanwa kuti ichi kwemasvomhu oparesheni ine mumwe wemanomano - kutora mativi mudzi, isu hatizivi yaiungana nhamba, zvakanaka kana zvakaipa, ndiyo yakakura okuti. nechokwadi ichi, asi kaviri mugumisiro mumwe chete kuvhiyiwa, uye zvakanyorwa.

Kudzidza chokuita ichi chinoshamisa aiva nehanya negwara masvomhu, rinonzi dzidziso zvakaoma shanduka, riri zvikuru inoshanda kukosha mune kwemasvomhu wefizikisi.

Chinoshamisa, kubva pakunzi mudzi - a - kushandiswa "svomhu Universal" ake ndiro ubiquitous Newton, uye ano Kutarira chaizvo achinyora mudzi rave richizivikanwa kubvira 1690 kubva mubhuku wokuFrance Rolle "Tungamirira nemasvomhu".