It depends on whether or not you're referring to the same infinity each time you wrote "infinity". There are multiple infinities, and they are not all equal to one another.What is the difference between infinity and infinity plus one?
I'm wearing the latest LL Bean barrel......Loser buys.
It depends on whether or not you're referring to the same infinity each time you wrote "infinity". There are multiple infinities, and they are not all equal to one another.
It seems intuitive, and is true, that there are as many even integers (i.e., {…, -4, -2, 0, 2, 4, …}) as there are odd integers (i.e., {…, -3, -1, 1, 3, …}). It is also (provably) true, albeit very counterintuitive, that there are as many even integers as there are integers (i.e., {…, -2, -1, 0, 1, 2, …}).
There's an infinite number of real numbers, too, and that infinity is infinitely larger than the total number of integers. There's also just as many real numbers between 0 and 1 as there are real numbers between 0 and ∞, which is also counterintuitive to most people.
The power set of the real numbers, i.e., the set of all subsets of the real numbers, has infinitely more members than does the set of all real numbers, of which there exists an infinitely large number.
Pure mathematics can be infinitely interesting!
Sorry, but you're incorrect. You don't need to get a math degree like I did, but you might try an Internet search.Well...you are describing 'infinite series', and give values for the first 'n' terms. These are evaluated using calculus as n approaches infinity, which was a very elegant solution to problems that formerly used a number of iterations to approach an exact solution (i.e. finding 100 digits of pi taking thousands of individual calculations).
So, no, there is only one infinity, but an infinite number of infinite series.
Random Hack Here........He hasn't figured out a signature for his self promotion...like my "ultimate aiming secret".....so how else is he going to promote himself...Why do you start every post with 'dealer here'? does that make your take mean any more than anyone else's? some of your posts have contained bad/wrong info. off to ignore.
Sorry, but you're incorrect. You don't need to get a math degree like I did, but you might try an Internet search.
Well....13 pages deep and did not see this one mentioned that sometimes I wish I would have been told.If you could recommend one beginner tip, article topic, or lesson that every new player should learn early on, what would it be?
Thanks in advance for any suggestions.
In my opinion if you don't learn YOUR vision center you are wasting your time, it's not eye hand coordination, it's eye, brain hand coordination, if your brain is telling your hand you are hitting the cueball straight but you are not you will struggle with this game.Dealer here, but this is just a player tip. Wish someone told me early that a soft, still bridge hand matters more than a fancy stroke. I spent a year muscling shots with a death grip and wondering why my cue ball skipped or curved on longer shots. Loosen up, keep your grip hand relaxed through contact, and let the tip do the work instead of jabbing at the ball. Also seconding the center ball hit comment: most guys aim for center and are actually a tip or two off, which throws off every speed and spin calculation downstream. Get a buddy to watch your stroke on a mirror or slow-mo video, it's humbling but it fixes more leaks than any drill.
If you're shopping for your first cue, worth knowing what actually matters at the beginner price point, fuller guide here: https://billiardhome.com/blog/best-pool-cues-for-beginners