Difference between revisions of "ZCubes/E Eulers Number Calculations"
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(1/0!)+(1/1!)+(1/2!)+(1/3!)+(1/4!)+(1/5!)+(1/6!)+(1/7!)+(1/8!)+(1/9!)+(1/10!)+ | (1/0!)+(1/1!)+(1/2!)+(1/3!)+(1/4!)+(1/5!)+(1/6!)+(1/7!)+(1/8!)+(1/9!)+(1/10!)+ | ||
| − | (1/11!)+(1/12!)+(1/13!)+(1/14!)+(1/15!)+(1/16!)+(1/17!)+(1/18!)+(1/19!)+(1/20!)+ | + | (1/11!)+(1/12!)+(1/13!)+(1/14!)+(1/15!)+(1/16!)+(1/17!)+(1/18!)+(1/19!)+(1/20!)+ |
| − | (1/21!)+(1/22!)+(1/23!)+(1/24!)+(1/25!)+(1/26!)+(1/27!)+(1/28!)+(1/29!)+(1/30!)+ | + | (1/21!)+(1/22!)+(1/23!)+(1/24!)+(1/25!)+(1/26!)+(1/27!)+(1/28!)+(1/29!)+(1/30!)+ |
| − | (1/31!)+(1/32!)+(1/33!)+(1/34!)+(1/35!)+(1/36!)+(1/37!)+(1/38!)+(1/39!)+(1/40!)+ | + | (1/31!)+(1/32!)+(1/33!)+(1/34!)+(1/35!)+(1/36!)+(1/37!)+(1/38!)+(1/39!)+(1/40!)+ |
| − | (1/41!)+(1/42!)+(1/43!)+(1/44!)+(1/45!)+(1/46!)+(1/47!)+(1/48!)+(1/49!)+(1/50!)+ | + | (1/41!)+(1/42!)+(1/43!)+(1/44!)+(1/45!)+(1/46!)+(1/47!)+(1/48!)+(1/49!)+(1/50!)+ |
| − | (1/51!)+(1/52!)+(1/53!)+(1/54!)+(1/55!)+(1/56!)+(1/57!)+(1/58!)+(1/59!)+(1/60!)+ | + | (1/51!)+(1/52!)+(1/53!)+(1/54!)+(1/55!)+(1/56!)+(1/57!)+(1/58!)+(1/59!)+(1/60!)+ |
| − | (1/61!)+(1/62!)+(1/63!)+(1/64!)+(1/65!)+(1/66!)+(1/67!)+(1/68!)+(1/69!)+(1/70!)+ | + | (1/61!)+(1/62!)+(1/63!)+(1/64!)+(1/65!)+(1/66!)+(1/67!)+(1/68!)+(1/69!)+(1/70!)+ |
| − | (1/71!)+(1/72!)+(1/73!)+(1/74!)+(1/75!)+(1/76!)+(1/77!)+(1/78!)+(1/79!)+(1/80!)+ | + | (1/71!)+(1/72!)+(1/73!)+(1/74!)+(1/75!)+(1/76!)+(1/77!)+(1/78!)+(1/79!)+(1/80!)+ |
| − | (1/81!)+(1/82!)+(1/83!)+(1/84!)+(1/85!)+(1/86!)+(1/87!)+(1/88!)+(1/89!)+(1/90!)+ | + | (1/81!)+(1/82!)+(1/83!)+(1/84!)+(1/85!)+(1/86!)+(1/87!)+(1/88!)+(1/89!)+(1/90!)+ |
| − | (1/91!)+(1/92!)+(1/93!)+(1/94!)+(1/95!)+(1/96!)+(1/97!)+(1/98!)+(1/99!)+(1/100!) | + | (1/91!)+(1/92!)+(1/93!)+(1/94!)+(1/95!)+(1/96!)+(1/97!)+(1/98!)+(1/99!)+(1/100!) |
Revision as of 03:50, 23 March 2020
E Eulers Number Calculations
Euler’s identity links 5 fundamental mathematical constants, the additive identity 0, the multiplicative identity 1, the number π (π = 3.141...), number e (e = 2.718...), a.k.a. Euler's number, the number i, the imaginary unit of the complex numbers. The video demonstrates the computation of Euler’s number in ZCubes including series involving large numbers.
Video
Code
ef:=(1+1/n)^n; 1...1000000000 1...1000000000@ef
1...10000000000000@ef 1...100000000000000000@ef
units.on; efunction:=(1d500+1d500/n<>d500)^(n<>d500) efunction(10000000000000000000000000000000000000000d500)
(1/0!)+(1/1!)+(1/2!)+(1/3!)+(1/4!)+(1/5!)+(1/6!)+(1/7!)+(1/8!)+(1/9!)+(1/10!)+ (1/11!)+(1/12!)+(1/13!)+(1/14!)+(1/15!)+(1/16!)+(1/17!)+(1/18!)+(1/19!)+(1/20!)+ (1/21!)+(1/22!)+(1/23!)+(1/24!)+(1/25!)+(1/26!)+(1/27!)+(1/28!)+(1/29!)+(1/30!)+ (1/31!)+(1/32!)+(1/33!)+(1/34!)+(1/35!)+(1/36!)+(1/37!)+(1/38!)+(1/39!)+(1/40!)+ (1/41!)+(1/42!)+(1/43!)+(1/44!)+(1/45!)+(1/46!)+(1/47!)+(1/48!)+(1/49!)+(1/50!)+ (1/51!)+(1/52!)+(1/53!)+(1/54!)+(1/55!)+(1/56!)+(1/57!)+(1/58!)+(1/59!)+(1/60!)+ (1/61!)+(1/62!)+(1/63!)+(1/64!)+(1/65!)+(1/66!)+(1/67!)+(1/68!)+(1/69!)+(1/70!)+ (1/71!)+(1/72!)+(1/73!)+(1/74!)+(1/75!)+(1/76!)+(1/77!)+(1/78!)+(1/79!)+(1/80!)+ (1/81!)+(1/82!)+(1/83!)+(1/84!)+(1/85!)+(1/86!)+(1/87!)+(1/88!)+(1/89!)+(1/90!)+ (1/91!)+(1/92!)+(1/93!)+(1/94!)+(1/95!)+(1/96!)+(1/97!)+(1/98!)+(1/99!)+(1/100!)
SERIESSTR("1/_x!",1..100)
SERIESSTR("1/_x!",1..100).join("+")
SERIESSTR("(1/_x!)",1..100)
SERIESSTR("(1/_x!)",0..100)
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