20220624, 21:22  #12  
Sep 2002
Database er0rr
109C_{16} Posts 
Quote:


20220624, 21:40  #13  
Apr 2020
797 Posts 
Quote:


20220624, 21:46  #14 
Sep 2002
Database er0rr
109C_{16} Posts 
I have forgotten how to prove e is transcendental. Intuitively, it cannot be written algabraically. Without me referring to my Spivak book, can you explain how it is proven transcendental? e^11 is not infinite.
Last fiddled with by paulunderwood on 20220624 at 21:48 
20220624, 21:58  #15 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
2·3·1,093 Posts 

20220624, 22:28  #16 
Sep 2002
Database er0rr
2^{2}·1,063 Posts 
For my next tricks, I have forgotten how to prove pi is transcendental, the proof of Prime Number Theorem and have never quite figured out the proof of Riemann's Hypothesis.
Last fiddled with by paulunderwood on 20220624 at 22:31 
20220624, 22:36  #17  
Apr 2020
31D_{16} Posts 
Quote:
You might have got this confused with the proof that e is irrational, which is much simpler  I seem to recall being set it as an exercise as a firstyear undergraduate. 

20220625, 04:48  #18 
Jan 2021
California
2^{3}×5×11 Posts 

20220625, 10:03  #19 
Jun 2022
12_{8} Posts 

20220625, 11:21  #20 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
14636_{8} Posts 

20220625, 20:24  #21 
"NT"
May 2022
U.S.
19 Posts 

20220625, 20:31  #22 
Jun 2022
2·5 Posts 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Numbers congruent to + or  (10^m*2^n) mod 216  enzocreti  enzocreti  1  20200303 06:12 
cubes congruent to 2^n (mod 215)  enzocreti  enzocreti  1  20200214 16:56 
N congruent to 2^2^n mod(2^2^n+1)  enzocreti  enzocreti  2  20200212 15:14 
Congruent to 10^n mod 41  enzocreti  enzocreti  0  20200109 11:56 
((my) mod n ) congruent to n1  smslca  Math  2  20120129 11:30 