mersenneforum.org There are more even numbers than odd numbers
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2020-08-09, 04:06   #23
retina
Undefined

"The unspeakable one"
Jun 2006
My evil lair

7·827 Posts

Quote:
 Originally Posted by kriesel The original post does not indicate a number system explicitly. Would that be natural numbers, all integers, all rationals?
Let's go with integers.

2020-09-08, 20:15   #24
ONeil

Dec 2017

11010 Posts
Retina is correct

Quote:
 Originally Posted by retina Every odd number is half of an even number. Some even numbers are not double an odd number. Therefore there are more even numbers than odd numbers.
I cannot disprove this statement with code from a range of numbers up to 5.
According to retina's rules from the above quote, his statement is correct when the range is set to an odd number!

Code:
evens = [x for x in range(5) if x % 2 == 0]
print(evens)
for number in evens:
evens.append(number / 2)
print(evens)
break
odds = [x for x in range(5) if x % 2 != 0]
print(odds)
for number in odds:
odds.append(number * 2)
print(odds)
break

Last fiddled with by ONeil on 2020-09-08 at 20:16

 2020-09-09, 00:55 #25 baih     Jun 2019 1000102 Posts Originally Posted by retina View Post Every odd number is half of an even number. Some even numbers are not double an odd number. Therefore there are more even numbers than odd numbers. True because Even+even= odd Odd+odd = odd Only Even +odd = even
2020-09-09, 01:08   #26
tuckerkao

Jan 2020

11110002 Posts

Quote:
 Originally Posted by retina Every odd number is half of an even number. Some even numbers are not double an odd number. Therefore there are more even numbers than odd numbers.
I can totally understand this theory from the counting of base 5, 7 and 9. Any odd based counting will result in more even numbers.

2020-09-09, 02:52   #27
LaurV
Romulan Interpreter

Jun 2011
Thailand

8,837 Posts

Quote:
 Originally Posted by baih Even+even= odd Odd+odd = odd Only Even +odd = even

Haha, for some reason I can't stop laughing. Paraphrasing a famous person, "I know I am stupid, but when I look around, I get wings".

Last fiddled with by LaurV on 2020-09-09 at 02:55

 2020-10-15, 08:53 #28 retina Undefined     "The unspeakable one" Jun 2006 My evil lair 7×827 Posts An odd number multiplied by an odd number produces an odd number. An even number multiplied by an odd number produces an even number. An even number multiplied by an even number produces an even number. So there are more possible even number results. Therefore there are more even numbers than odd numbers.
 2020-10-15, 09:32 #29 LaurV Romulan Interpreter     Jun 2011 Thailand 8,837 Posts Grrr... You don't need to explain the joke again. He used "plus" instead of "multiplication". Which makes not only one, but ALL his "equations" wrong. As wrong they are, they "prove" the contrary to your affirmation. But if they should have been right, witn "addition", they still prove your point. Lord's ways are complicate... That's why I couldn't stop laughing. Last fiddled with by LaurV on 2020-10-15 at 09:41
2020-10-15, 14:34   #30
kriesel

"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest

19×241 Posts

Quote:
 Originally Posted by tuckerkao I can totally understand this theory from the counting of base 5, 7 and 9. Any odd based counting will result in more even numbers.
Nope. Number base does not matter at all. 9 = 14 base 5 =12 base 7 = 10 base 9 =11 octal = 1001 binary is odd. They are merely representations of a count or value.

ooooooooo groups into pairs with one left over, a definition of odd.
oo oo oo oo o

Odd bases will however result in somewhat more rightmost even digits than odd rightmost digits, in randomly or uniformly distributed values.

Last fiddled with by kriesel on 2020-10-15 at 14:47

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