Eksponensiasi: Perbedaan antara revisi

Eksponensiasi dapat digeneralisasi dari eksponen integer ke jenis-jenis umum bilangan lainnya.

 

* [http://jeff560.tripod.com/e.html Earliest Known Uses of Some of the Words of Mathematics]

* Michael Stifel, ''Arithmetica integra'' (Nuremberg ("Norimberga"), (Germany): Johannes Petreius, 1544), Liber III (Book 3), Caput III (Chapter 3): De Algorithmo numerorum Cossicorum. (On algorithms of algebra.), [http://books.google.com/books?id=fndPsRv08R0C&vq=exponens&pg=RA7-PA231#v=onepage&q&f=false page 236.] Stifel was trying to conveniently represent the terms of geometric progressions. He devised a cumbersome notation for doing that. On page 236, he presented the notation for the first eight terms of a geometric progression (using 1 as a base) and then he wrote: ''"Quemadmodum autem hic vides, quemlibet terminum progressionis cossicæ, suum habere exponentem in suo ordine (ut 1ze habet 1. 1ʓ habet 2 &c.) sic quilibet numerus cossicus, servat exponentem suæ denominationis implicite, qui ei serviat & utilis sit, potissimus in multiplicatione & divisione, ut paulo inferius dicam."'' (However, you see how each term of the progression has its exponent in its order (as 1ze has a 1, 1ʓ has a 2, etc.), so each number is implicitly subject to the exponent of its denomination, which [in turn] is subject to it and is useful mainly in multiplication and division, as I will mention just below.) [Note: Most of Stifel's cumbersome symbols were taken from [[Christoff Rudolff]], who in turn took them from Leonardo Fibonacci's ''Liber Abaci'' (1202), where they served as shorthand symbols for the Latin words ''res/radix'' (x), ''census/zensus'' (x²), and ''cubus'' (x³).]</ref>