What beginner pool tip do you wish you learned sooner?

What is the difference between infinity and infinity plus one?
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!
 
One great beginner tip I read on this site many years ago, though I've long forgotten who provided it then:

Find an empty long neck beer bottle, cleaned and dried. Lay the bottle on its side and try to stroke into the bottle, past the neck, without the cue actually touching the bottle. Without a good stroke, it's pretty difficult.
 
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!

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.
 
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.
Sorry, but you're incorrect. You don't need to get a math degree like I did, but you might try an Internet search.
 
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.
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... :p
 
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.
Well....13 pages deep and did not see this one mentioned that sometimes I wish I would have been told.

"Stay off the damn forums!!!!"

Truth be told....I may be partially to blame...(although it would have happened anyway)....I never really mention this much...but those Valley of the Sun residents from back then that know....know......Before AZBilliards...I was working in the computer industry as a inside sales rep......I got my hands on some web design software and I had started messing around with it and built a web site called Arizona Billiard Network...AZBN.com....Back then you had to go to one of the pool rooms and pick up a local rag made by a local room owner named Mike Ohara....aka (Mike No Hara) to find out the what where and when for tournaments etc. etc........Came up with this idea that I would post the local papers events, stories etc......"back then"...The paper was pretty much the only source for where the "action" was. pool tournaments. etc. etc.... I started posting the paper and then I came up with this idea of starting a local "post up" forum where people could post up tournaments, action call outs, etc. etc. You may even be able to still find some clips from that site on the wayback machine but it was so long ago and the internets were still kind of in it's infancy so who knows...

Anyway.....Mike Howerton was a local web designer....and started up a web site now known as AZBilliards.....I was doing mine as just a side hobby and had no real interest really in competing ...so I kind of just shut mine down and stepped aside and let mike run the local web site......Danny A had bought the paper from Mike O'hara...If IIRC...Mike H then bought it from Danny.

Kudo's for Mike Howards dedication and following through and turning AZBilliards into a worldwide website....I am quite sure he has done a ton or work and put in a lot of time getting it there that I never would have done.

However...even though I did not pour the lighter fluid on the fire.....Mike is responsible for that.......Every now and again....I sometimes wonder how things would have developed over the years if I did not strike the match.

Now before any of you recent sleuths say....Hey....you did not join until 2005....what is up with that.....Well...prior to 2005 I went by a different handle...in 2005 is when I had Mike retire that handle and I started a new account....I assure you I was here since the beginning...just went by a different handle.....the real sleuths could find out what that handle was...;)
 
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Work on your mechanics. If you just step up and mindlessly play, you are doomed. Have well thought out mechanics. Mechanics meaning alignment, straightness of stroke, tempo of stroke, follow through, stroke routine, etc.

If you don't know if your stroke is straight, and don't have a plan to keep it straight, you might as well stay home. And you certainly have no place competing.
 
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
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.
 
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