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Czym jest liczba Pi?

Pi jest bardzo ciekawy numer, który ma wielkie znaczenie do dowolnego procesu matematycznego. W wielu obliczeń matematyki, na przykład; Natkniemy się na liczbępi, takich jak okręgi, sprężyny, wahadło...

 

Ogólnie rzecz biorąc najprostsze liczby pi jest szeroko stosowany, choć to nie znaczy wiele. Numer ten jest rzeczywiście stosunek i uzyskuje od średnicy obwoduokręgu. Wskaźnik ten jest znany jako 3.14. Można zmierzyć się, jak znaleźć wszystkieobiekty z żyłką w domu, ale upewnij się, że jest tak duży, jak to możliwe. Niech tylkopowiedzieć masz szkła, jeśli najpierw zmierzyć obwód szkła, a następnie podzielić średnicę, możesz zawsze uzyskać wynik 3.14. Oczywiście to jest konieczne, aby naprawdę precyzyjny pomiar dla faktu, że wynik jest blisko.

 

Dowodu pi odpowiada odległość 4-calowy, gdy koło o średnicy 1,27 cala jest otwarty liniowo. 4 cale (obwód) / 1.27 (średnica) = 3,14, zgodnie z ustaleniami.

 

Jak widać, liczba PI jest zasadniczo bardzo prostej zasadzie i stałą szybkością, że niemożna zmienić. Ale ponieważ Pi jest również liczbą niewymierną, nigdy nie może być wyrażona w schemacie skończoną liczbę całkowitą i zawiera nieskończoną liczbę powtarzające się cyfry po przecinku. Od Babilończyków są one znane być świadomi istnienia Pi w Bliskim Wschodzie i cywilizacji śródziemnomorskiej. Różnych starożytnych cywilizacji używali różnych numerów dla liczby pi. Na przykład, ze względu na 2000 P.n.e. Babilończycy stosowali π = 3 1/8 i starożytni Egipcjanie byli π = 256/81, czyli o 3,1605. Niemniej jednak, to nie rozumie że πis liczbą niewymierną przez bardzodługi czas. W roku 1761 dowody, opublikowane przez Johann Heinrich Lambert okazały się być liczbą niewymierną stałych. W codziennym użytkowaniu istnieje nieskończona ilość cyfr, które nie są powtarzane okresowo wyrażać prawdziwą wartość, chociaż po prostu wyraża się jako 3.1416. Przecinku wyróżnia się na pierwszy 65 cyfry sąw następujący sposób:

 

3, 14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 749445923


 

Dziś kilka zawody odbywają się obliczyć maksymalną liczbę pi po przecinku. Rekordjest teraz znane być 73 miliardy cyfr po przecinku.

 

Historia

Liczba Pi był znany przez Babylonia, starożytnych Egipcjan i wielu starożytnych cywilizacji. Zdali sobie sprawę, że obwód wszystkie okręgi była równa stałej liczby jego części. Obecność to stały numer teraz pozwala na obliczenie obwodu każdego kręgu znanych. Około 2000 roku P.n.e. Babilończycy stosowali p numer 31/8 lub 3.125. W starożytnej Grecji pierwiastek kwadratowy był używany w 10 lub 3.162 numery. Archimedes (287-212 P.N.E.) używany numer 3 10/71 oraz 3 1/7 jako P numer.

 

W 500 N.E. użył 3.1415929 P numer. W 1424 znane były poprawnie szesnastu cyfr po przecinku w Iranie. W 1596 roku niemiecki Ludolph van Ceulen oblicza dwudziestucyfr po przecinku P, i liczba ta była znana jako stała Ludolph w Europie. Po tej dacieliczba P obliczono przez miliardy cyfr po przecinku.

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