I found this piece of information on Internet. It is wonderful. ============================================================= Dear Friends, Today I am going to...
11600
Nick_Hobson
May 3, 2006 1:15 pm
Interesting, but I don't think "contemporary mathematics is silent on this." It's just that the tests for other numbers are not so well known. See...
11601
wltrsb@...
wltrsb
May 3, 2006 3:44 pm
... Right -- a book of magic. In the atharva veda there's something about a potion to make your willy grow longer (after hanging it through a charpoi) and...
11602
video_ranger
May 6, 2006 6:28 pm
" Each of seven players gets a hat, which can be any one of seven specified colors. The colors of the hats are independent of each other and repetitions are...
11603
cino hilliard
hillcino368
May 6, 2006 6:47 pm
Not necessarily math but fun anyway....
11604
brianejensen
brianedwardj...
May 6, 2006 9:03 pm
What is the radius of a circle inscribed in a triangle with sides of length 3, 4, and 5? Hint: there are 2 ways of figuring out the area of the circle, one...
11605
cino hilliard
hillcino368
May 6, 2006 11:36 pm
... Given triangle ABC vertex A and right angle B and inscribed circle with center O. Draw the three radii r of the circle from O to the points of tangency....
11606
slim_the_dude
May 8, 2006 6:03 pm
... Here's why that works. What we have to prove is that if a + 4b is divisible by 13, then so is 10a + b. Suppose a + 4b is divisible by 13. Then a+4b = 13x,...
11607
slim_the_dude
May 8, 2006 6:38 pm
Okay, all is solved now. I wound up using a nonyahoo email address, and in my last email to you I detailed to you the situation. Suffice to say, even though...
11608
cino hilliard
hillcino368
May 8, 2006 10:37 pm
Here are some Dot.com-bination web sites. This may be a good category for wheel of fortune. I rattled these off from memory. You may want to add to the list....
11609
J P Kenny
jpkfiles
May 8, 2006 10:58 pm
The way I learned to convert an infinitely repeating decimal to a proper fraction is shown in the following examples: PROBLEM: Convert 0.666666....,...
11610
MorphemeAddict@...
lojbaner
May 8, 2006 11:03 pm
In a message dated 5/8/2006 5:58:56 PM Central Standard Time, ... Let's see... Let n = 0.999999... 100n = 99.999999... 100n - n = 99 99n = 99 n = 1 Looks like...
11611
J P Kenny
jpkfiles
May 8, 2006 11:15 pm
Are you kidding? How can you start with n = .999999... and come up with n = 1 ? We want to find the fraction equivalent of 0.99999..... JP Kenny ...
11612
MorphemeAddict@...
lojbaner
May 8, 2006 11:34 pm
In a message dated 5/8/2006 6:15:22 PM Central Standard Time, ... I'm not kidding. 1 = 0.99999... What did you expect it to be? stevo [Non-text portions of...
11613
MorphemeAddict@...
lojbaner
May 8, 2006 11:41 pm
In a message dated 5/8/2006 6:34:41 PM Central Standard Time, ... Another way to see this is to add 1/3 = 0.333333... to 2/3 = 0.666666... and you will see...
11614
J P Kenny
jpkfiles
May 8, 2006 11:46 pm
You're saying that the fractional equivalent of 0.99999 is 1/1 ? Then why, when I divide 1/1 do I get 1.000000000 and not 0.99999999 ? ...
11615
MorphemeAddict@...
lojbaner
May 8, 2006 11:50 pm
In a message dated 5/8/2006 6:47:30 PM Central Standard Time, ... Yes, that's what I'm saying. The reason you don't get 0.99999.... (I think) is that it's a...
11616
Rick
rcastrap
May 8, 2006 11:56 pm
Don't rely on untrained intuition when confronting the infinite. 0.99999... is indeed equal to 1. If you still don't buy it, find me a real number between...
11617
Bob McArthur
bmcarthu
May 9, 2006 1:17 pm
Remember delta from calc class? There is an infinatly small difference between .999... and 1. Also, between every two rational fractions, no matter how...
11618
Nasa
nasacse
May 9, 2006 1:49 pm
look at the step 10n = 9.999999... we are ignoring the difference. if we do want to ignore the difference, ie if we dont want to ignore the diff betn .999.......
11619
MorphemeAddict@...
lojbaner
May 9, 2006 9:35 pm
In a message dated 5/9/2006 8:17:51 AM Central Standard Time, ... No, there is no difference. They are exactly the same. It's two ways of writing the same...
11620
Bob McArthur
bmcarthu
May 10, 2006 1:37 am
Infinately small is not the same thing as nothing. I remember making that argument in calc I. It made a big difference to them because when calculating the...
11621
slim_the_dude
May 10, 2006 2:12 am
In your example, the slope you're looking for is the limiting slope. That is the slope that is approached by two points as they approach each other closer and...
11622
Danny Wolfe
dannyedwardw...
May 10, 2006 4:01 am
This group conversation reminds me of a dilemma I once had with the numerical value of PI. Since its digits were comprised of a non-repeating and never-ending ...
11623
Bob McArthur
bmcarthu
May 10, 2006 4:09 am
True, there is not really anything infinate that I have seen, close, far, big or small. In calc class it made a difference, there was delta and there was zero...
11627
adh_math
May 10, 2006 2:54 pm
... This thread highlights the need for careful definitions, particularly in calculus/analysis. :) Real numbers satisfy a "trichotomy property". For every real...
11628
brianejensen
brianedwardj...
May 10, 2006 3:09 pm
Danny Wolfe <dewolfe@...> wrote: " I think that 0.99999... is irrational and similar to PI" The truth is: 1/9 = 0.111111111111..... which is rational ...
11629
Rick
rcastrap
May 10, 2006 4:00 pm
I haven't seen anyone mention the theorem regarding convergence of a geometric series, which is covered in College Algebra and Second Semester Calculus. The...
11632
Peter Otzen
bogaduck
May 11, 2006 12:42 pm
... up with n = 1 ? ... JP, Don't forget that 3 times 0.3 is 0.9, and 3 times 0.333 is 0.999 Similarly 3 times 0.33333.... is 0.999999... BUT: one third is...
11633
Peter Otzen
bogaduck
May 11, 2006 1:07 pm
... 0.99999999 ? ... You didn't get 0.99999.. because you were too clever. Ponder the following: 19636/79 "talking through the division" 79 into 1 doesn't go ...
