what would it be then ..read more

What’s wrong with my reasoning in purple? Please pinpoint which sentence and step fails. I seek intuition. I DON’T want proofs, or formal arguments. Thanks! Presuppose lotteries let players pick any integer N≥32. Picking unpopular integers lowers your probability of winning lotteries. Why? Winning numbers range randomly from 1 to N. But you artificially narrow yourself to [32,N]. By disregarding [1,31], you flout the lottery’s random distribution of winning integers! As [1,N] contains more integers than [32,N], picking numbers ∈ [1,N] proffers more chances to win than picking ∈ [32,N]. Q.E.D ..read more

Hello all. Am on first steps to make a solar thermal water pump for drip irrigation purposes.    Assume 60% efficiency of solar thermal irradiation (600W/m2.     Assume average daylight temperature 25C.  Assume average night temperature 15C. Or, make those parameters real, entered in the formula.  Area of sun exposure as parameter, say =1 m2 (Tank lid)  Capacity of reservoir as parameter, say = 1 m3    Volume of air, =Va.  Volume of water =Vw. For a desired pumping height,  what would be the flow in 24 hours ? [Plus whatever ..read more

QuickBook Enterprise Help (+1-844-397-7462) Customer Care Number Quickbooks Support Number, Quickbooks Toll Free Number, Customer Service Monday through saturday from 8:00 AM to 9:00 PM ET and Saturday from 9:00 AM to 6:00 PM ET Number. Quickly Find The Quickbooks Customer  Number For All Your Tech Questions Benefits of Quickbooks When you use Quickbooks Online Support Phone Number   for your email needs, you get a number  of great benefits. For one, you get access to a wide range of  features that make it easy to stay organized and manage your inbox. You can also take adva ..read more

3x+1 if odd x/2 if even     So why not create a sieve of multiples of 2, 4, and 8?   When x equals a logarithm of 2, 4, or 8 then x/2 repeated equals 2.   2*2*2*2…   4*4*4*4…   8*8*8*8…   These 3 logarithms of 2, 4, and 8 encompass all the numbers that reduce to 2 when repeatedly divided by 2.   What am I missing? Did I break the rules of the pattern? I am trying real hard not to factor semiPrimes. I did not research the problem yet. I am only working with 3x+1.   I realize that this is more complex with larger numbers. I am just stating a simple ex ..read more

I have been researching Quantum Algebra for a few days. I have a few questions about it in hopes that people can help me on here. 1. How do quantum groups differ from classical groups in mathematics? 2. Can you explain the concept of Hopf algebras and their significance in quantum algebra?   ..read more

6 balls are drawn from a total of 49 balls randomly. Order does not matter, as long as 6 balls are matched, first prize is won, what is the probability of winning the first prize? Another question is horse racing. For certain three matches, which may have 10 to 14 horses in total, different horses may have different conditions and abilities so the winning odds of each horse may not be as simple as 1/10 or 1/14. You choose three horses from each of the three matches so you are choosing 9 horses in total, if all 9 horses in three matches finish for the 1st, 2nd and 3rd place, order isn't counted ..read more

Sales tax Pyramid Scheme     Ok say I buy something for$100 + $6.00 sales tax. Then the person I bought from buys something for $100 + $6.00 sales tax. And so on and so forth for n, the number of money transactions.   Does that mean that on $100 the government just make $6.00 * n. And after $100 / $6 times the government is making more money than the original $100?   So the act of saying $100 is worth so much in gold, actually makes more than the value of the gold? And then transfer of money is promoted because it generates more value?   And you thought bitcoin was a s ..read more

In a mechanical memory system, such as a tape recorder or gramophone, the input movements of sound waves are constrained by the mechanism to motions back and forth along a single line. A separate mechanism(s) adds motion along a different line to stretch the needle marks far enough that they don't overlap at frequencies within the design range. The question is, how can the speed and direction of the added movement(s) be calculated from the recording needle track? With a needle bouncing perpendicular to the length of a recording tape, if the tape moves in a straight line past the moving needle ..read more

I know this is a bit crazy, but I do feel like I'm onto something. I just don't know how to do the complicated math for it.  I'm not the sharpest tool in the shed. This has to be a theory of some kind. So, we all know about Sacred Geometry (google images to sum it up) hopefully, this adds to the effect if you can think in 3D.  If you could have a root equation that explained everything, I feel it's this. The Key for Everything, the Crown of Thorns   feedback appreciated   ..read more