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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#26 Re: This is Cool » Pi to a Million Decimal Places! » 2012-06-28 03:00:49

Quote: "It can be either 0 or 1, based on the way it is written."

The Base Number Can Only be 0  for Infinite/Recurring 0.999... Because if the Base Number was 1 ? it would No longer be Continuous!!

The Numbers After the . are What are Running Infinitely!

#27 Re: This is Cool » 0.9999....(recurring) = 1? » 2012-06-27 23:35:11

Hi Stangerzv 1/0 = 1 Because No Value has been Divided into the Start Value of 1

I am sure the Universe is Bigger than 1 ... But 1 what! ? 1 x the Largest Space we Can Calculate! But then we are Back to  Estimated Math!

#28 Re: Puzzles and Games » LOTTO Problem - Best Any 6 From 21 » 2012-06-27 20:19:38

Quote: "I think so. But I don't understand the logic by which 1,2,3,4,5,6 + 2,3,4,5,6,7 is worse 1,2,3,4,5,6 + 7,8,9,10,11,12.


Reply All the Groups of Any 6 Numbers can be Good!? But How many times do we Repeat Each Number...

Within Any of our Best from 21 Numbered Balls! from Our Groups of 21 Combinations of 6 ?

#29 Re: This is Cool » 0.9999....(recurring) = 1? » 2012-06-27 20:13:41

Quote: "A frog starts hopping at point A.  His first hop is 1 metre.  His second is 1/2 metre.  His third is 1/4 metre.  And so on, each hop half the size of the one before.

He is aiming to reach point B which is 2 metres from A.  Does he get there?


Reply...Not if it get's Run over by a Car Etc. smile

#30 Re: This is Cool » Pi to a Million Decimal Places! » 2012-06-27 20:11:18

Let's make this Clearer!...

Pi = Has a Base Number of 3 Followed by Infinite .(Random Numbers)

Infinite/Recurring 0.999...  Has a Base Number of 0 Followed by Infinite .(9's)


So the Differences are the Base Numbers & the Following Infinite Numbers!

#31 Re: This is Cool » Pi to a Million Decimal Places! » 2012-06-27 02:40:17

Pi has a Brother... Infinite/Recurring 0.999...


What is the Difference!?  Pi = ...(Random)  Infinite/Recurring 0.999... = ...(9)

#32 Re: This is Cool » 0.9999....(recurring) = 1? » 2012-06-27 00:32:55

Have to Correct You Bob! There can only be a finite number of stars!... If the Whole Universe has been Mapped!?

Which won't Happen in Your life time or Mine! smile



This should Help any Doubters!...And is a Very Good example Why Estimated Math is BAD Math!

And the Reason Why Infinite/Recurring 0.999... = 1 ? Is Estimated Math!



http://blogs.discovermagazine.com/80beats/2010/12/01/the-estimated-number-of-stars-in-the-universe-just-tripled/

#33 Re: This is Cool » 0.9999....(recurring) = 1? » 2012-06-26 21:48:16

This Sounds like a Real Problem!

But!...0.9999....(recurring) is like the Math Universe! for 0.9999....(recurring) to Equal 1

Would be the same as Gathering All the Stars in the Universe ?? and then putting them in a Box and Calling the Box 1

#34 Re: Puzzles and Games » LOTTO Problem - Best Any 6 From 21 » 2012-06-25 23:17:45

To Help Solve the Problem Below I have Laid out  the Numbers Etc. Using a Grid!

So We have 21 x 6 = 126 Spaces/Boxes to fill with Our Best 21 Numbered Balls.

If we make a Grid like a Chess Board Numbered... Starting from the Bottom Left Corner Columns A - F and the Rows upwards 1 - 21

We now have Reference points which may Help to make a Formula!?

Because we want to use All the Numbers at least Once then the first Column A1 to A21 Should contain the first 21 Balls 1 to 21

This is a Good Starting Point! Now what is the Best way to fill the Other 105 Spaces/Boxes with any of our Best 21 Balls ??


Looks like this has Stumped Everyone on this Math Forum! for the Moment ? smile

This Below might help Someone trying to Solve this Problem!??

http://lottery.merseyworld.com/cgi-bin/lottery?days=2&Machine=Z&Ballset=0&order=1&show=1&year=-1&display=NoTables

#35 Re: Puzzles and Games » LOTTO Problem - Best Any 6 From 21 » 2012-06-25 06:38:46

Hi

I am Trying to Find the Best Most Efficient way to Select Groups of 6 Balls from What May be the Best 21 Balls (Using Stats Etc.) from the 49 Balls in a Draw! Even though the 49 Balls are all the Same...Over a Period of Time All should come up at some time!

With a Maximum Selection of 21 Groups of 6 Balls (Using the Best 21 Balls) Which equals 21 Tickets at 1 Pound or 1 Euro Etc. Per Ticket.

So a Bad Selection Method would be... let's say we Chose the Numbers 4 & 12 in Every Group of 6  which would be the same Pair Chose 21 times? and the other 4 Numbers in every Group of 6 different! if possible.

The reason it's Bad is that if the Numbers 4 & 12 are not Drawn then we would lose on All 21 Tickets!

#36 Puzzles and Games » LOTTO Problem - Best Any 6 From 21 » 2012-06-25 03:05:46

TESTU
Replies: 32

Hello Everyone!

Here is a Nice little Problem "Is there a Best Any 6 Numbers from 21 From a Lotto Using the Normal 49 Balls" ?

There are Many ways to Pick Any 6 from 21 below is a Couple of Examples!

(1) Use 3 Different Any 6 from 7 Balls = Total of 21 Combinations Using 21 Balls

(2) Use 7 Groups of 3 Balls Then Pick Any 2 Groups of 3 Balls = 21 Combinations of 2 Using 21 Balls

What I am after is a Formula that Shows the Most Efficient Method!?

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