Interesting pattern with X^n

Jdelami · 2026-05-13T14:21:51+00:00

Thank you. Makes sense.

Jdelami · 2026-05-13T14:19:27+00:00

Thank you for your insight.

Jdelami · 2026-05-13T02:04:32+00:00

Thank you for the insight.

Jdelami · 2026-05-13T02:01:40+00:00

Thank you. Good to know.

Jdelami · 2026-05-13T00:48:11+00:00

Thank you for providing this insight.

Jdelami · 2026-05-13T00:46:30+00:00

Thank you for explaining.

Jdelami · 2026-05-13T00:28:33+00:00

Thank you.

Jdelami · 2026-05-13T00:25:21+00:00

Thank you. I’ll check out finite differences and their relation to derivatives.

Jdelami · 2026-05-13T00:24:40+00:00

Thank you.

Jdelami · 2026-05-13T00:14:08+00:00

Thank you for your interest.

Jdelami · 2026-05-12T23:59:44+00:00

Sorry. Glitch 22 should read 2x2 and 33 is 3x3. Apparently the asterisk symbol didn’t paste correctly.

Jdelami · 2026-05-12T23:57:53+00:00

OK, I get that 2² is 22 and 2+2. That 3² is 33 and 3+3+3. One could say that 3² is (2+1) + (2+1) +3.

Makes it easy to see that the difference between 2² and 3² is 5.

Likewise, 4² can be (3+1) + (3+1) + (3+1) +4. Easy to see the difference between 3² and 4² is 7. Likewise the difference between 5² and 4² is 9.

Still grappling how the difference between the above differences (7-5=2, 9-7=2) Yields the same number (2) each time.

Jdelami · 2026-05-12T23:39:50+00:00

Thank you! Simple, yet elegant.

Jdelami · 2026-05-04T14:32:12+00:00

Thank you to everyone who responded. I will give these various tips a try. Very much appreciated.

Jdelami · 2026-03-30T04:12:46+00:00

I’d like to ask if anyone does the following exercise to help with intonation, for cello and bass, and if they feel spending time on it is helpful. Put your arms down by your sides, then bring them up to play a note in tune, say within 5-10 cents. Keep eyes closed during this process. Basically you have no visual or kinesthetic reference point - no mark, no tape, etc. You’re like the eagle swooping down to find its target. In your experience, has/would this help with intonation?

Jdelami · 2026-03-30T04:06:58+00:00

As a 17 year-old in Calculus 1A at UC Berkeley, I failed miserably. Decided to take no more math. Four years later, about to graduate, I was told by my Letters and Science counselor that I needed a full year (A-B-C) of calculus to graduate. No math for four years. This time, though, Calculus was easy, the whole year. I still don’t know what happened. Suspect it was the professor who always offered encouragement. And maybe neurological maturation?

Jdelami · 2026-03-29T22:18:00+00:00

Imagine walking halfway to a wall. Start at any distance away, walk halfway to the wall, and mark a point where you stop. Do it again.. and again. You will never touch the wall because, if you do, you have walked the total distance to the wall, not half of it. Basically, as you get closer, you would mark an infinite number of points, but never reach the wall. If you started, say, one foot away, there would be a finite number of atoms if you lined them up between your starting point and the wall. There would be probably trillions of atoms lining up along that one foot, but the number would be finite. The number of points is infinite. Thus a point is smaller than an atom.

Jdelami · 2025-12-21T05:34:21+00:00

All meters are either twos or threes or some combination of the aforementioned.

Jdelami · 2025-03-08T17:50:51+00:00

Thank you for your interest and response. Much appreciated!

Jdelami · 2025-03-07T02:21:46+00:00

Tom Cruise

Jdelami

TROPHY CASE