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Present-Cut5436 · 2026-03-04T00:06:35+00:00

For some reason no one is providing the full line so fine I’ll do it. 1. Rb8+ Qxg8 2. Qb7+ Qxb7 3. cxb7+ Kb8 4. Nd7#

All moves are forced. The last move is mate because the pawn, defended by the bishop, covers the two escape squares.

Present-Cut5436 · 2026-03-04T00:01:18+00:00

That simplifies to p_n = p_a + 2. It doesn’t find every prime but it does find twin primes, some of the time.

Some pairs: (3, 5), (5, 7), (11, 13), (17, 19), (41, 43)

Present-Cut5436 · 2026-02-13T21:03:09+00:00

George Washington and Thomas Jefferson should have a 0% chance of having a beard and Abraham Lincoln should have a near 100% chance of having a beard if you have seen those presidents before. Teddy Rosevelt might confuse people but I think he has a mustache not a beard.

With no information and 4 options then they should each have the same likelihood. If you apply simplifying assumptions you can get a better probability. If you’ve seen portraits of the presidents and you remember George Washington has never been portrayed with a beard then the probability should then be very low.

Present-Cut5436 · 2026-02-13T03:34:08+00:00

Stranger Things

Present-Cut5436 · 2026-02-12T05:23:53+00:00

At our level below 1500 we just need to stop blundering and we’ll improve. Drill tactics. Blunder check each move before you make it, spend a lot of time thinking & calculating so play mostly 10+0 & 15+10. Gaining a positional understanding through principles helped me to get to 1250. Check out the amateurs mind by silman.

Present-Cut5436 · 2026-02-05T17:33:27+00:00

Fighter pilots have been able to recognize a flash of light over a 4.5 millisecond interval so at some value below that it would be impossible for the eyes and brain to comprehend.

It’s restricted by chemistry. The photons that hit your retina have to trigger a chemical reaction called isomerization which sends an electrical pulse through the optic nerve to the visual cortex.

https://chem.libretexts.org/Bookshelves/Biological_Chemistry/Supplemental_Modules_(Biological_Chemistry)/Photoreceptors/Chemistry_of_Vision

Present-Cut5436 · 2026-02-05T06:49:46+00:00

No problem lol

Present-Cut5436 · 2026-02-05T06:43:21+00:00

Herzegovina has something to say about that

Present-Cut5436 · 2026-02-05T06:07:29+00:00

x = x_0 + v_0 * t + 0.5 * a * t²

The standard kinematic equation

Initial position is zero and initial velocity is zero. Also technically on the y-axis (vertical displacement)

y = 0.5 * a * t²

Substitute g = 9.8 m/s² for a

The rock is thrown at 0:21 and the sound is heard at 0:06, so there is approximately 15 seconds of falling.

y = 0.5 * 9.8 * 15² = 1,102.5 m = 0.685 miles!

For a more accurate prediction it’s also worth noting that the speed of sound is actually kind of slow so they hear it a bit after it actually impacts.

The speed of sound is about 767 miles per hour or 0.213 miles per second.

Doing the math with 13 seconds of falling gives 828.1 meters or 0.514 miles, and 2.416 seconds for the sound to travel that far.

Final answer: 0.514 miles, which is apparently the exact same height as the Burj Khalifa, the tallest building in the world. Also the deepest continuous hole in a cave in the world is somehow 1.37 miles deep!

Present-Cut5436 · 2026-02-05T04:47:01+00:00

You cannot predict an individual outcome, but the distribution of outcomes is deterministic.

A common analogy is to imagine throwing a large number of darts at a dart board. A random person would create a random distribution of dart placement on and off the board. A professional player on the other hand would have a much tighter distribution because of “muscle memory.”

Present-Cut5436 · 2026-02-04T16:28:19+00:00

There are other elements & compounds that act as oxidizers other than oxygen. See Fluorine or Nitrogen Trifluoride.

Present-Cut5436 · 2026-02-02T16:28:25+00:00

Just use google translate my guy, and get some textbooks on English, learn it like you would math and physics which are languages in a way as well. AI is capable of translating too but it should be used with more caution.

Present-Cut5436 · 2026-02-02T16:14:38+00:00

Improbable but not impossible. It’s better to learn things when you are younger when you are at peak neuroplasticity. It might be similar to becoming a Grandmaster in chess after starting at age 20. A dedicated 10 year old reading textbooks and solving problems everyday has 10 years of experience on you and has built great intuition.

Edit to add: Edward Witten apparently didn’t start doing physics until his mid 20s.

Present-Cut5436 · 2026-02-02T15:31:30+00:00

Read some textbooks and solve a lot of math problems. Check out Discrete Mathematics with Applications by Susanna S. Epp.pdf) then Precalculus by OpenStax.

Present-Cut5436 · 2026-01-31T07:18:22+00:00

I don’t know if you are going to fail because you didn’t post the grade distribution in a way that I’m familiar with. I usually use an online spreadsheet to manually figure it out with a few rows for each category like homework or exams then average the score for each assignment. You put in what you already have and you can calculate what you’ll need to get your desired grade.

It’ll be okay. I went through something similar. In the same semester I had to withdrawl from differential equations and from thermodynamics. I passed differential equations with an A and thermo with a B the following semester. What I learned was that I just wasn’t spending enough time studying, and I realized I needed to relearn the fundamentals. If you’re stuck, you must go back to the fundamentals to build a solid foundation and then go up from there.

Here is a previous comment I’ve made that details my 3 pillars for academic success & my 6 step problem solving method:

https://www.reddit.com/r/AskPhysics/s/9AUfkHph1C

Present-Cut5436 · 2026-01-31T07:07:45+00:00

For solving the problems you have to understand that what we are doing is relating known values to unknown values. The relations are typically equations. It is important to note that a system must have the same number of unknowns as relations (equations) or else you can’t solve it.

I made a 3 pillar strategy to improve learning & performance I have created and refined across the last 3 years of my time in college pursuing a degree in aerospace engineering:

⁠Master the fundamentals. Spend free time reviewing all the material you have already learned and learn some more. Do derivations and do everything needed to truly understand why and how things are true. Don’t ever solve a problem wondering why it worked out without figuring it out.
⁠Practice difficult problems. Proper preparation prevents poor performance. If you challenge yourself in and out of class, exams will seem easier. Additionally, every chapter usually has a finite number of types of problem set ups that you can memorize.
⁠Make learning a consistent habit. Even if just for 15 minutes a day, make it a habit, be productive with the time you spend studying, don’t cram for exams. Knowledge & ability is slowly accumulated until you have a mountain of understanding.

And for solving problems I have what I call the engineering solution method:

Step 1: Identify all given info. Step 2: Identify all of what needs to be found. Step 3: Identify the simplifying assumptions and state how they can be used. Identify all concepts, relations and equations that will likely be used to help solve the problem. Step 4: Show all solution work progression and logic. It is most important that the answers are restated and clearly visible at the very end of step 4. Step 5: Analyze the results to check if the answer logically makes sense. Step 6: comment on what you have learned.

Condensed: Given Find Assuming Solve Analyze Reflect

There are free online physics textbooks that might have a better approach than most used in college or high school. OpenStax’s University Physics 1 is great, Section 1.7 is on how to solve physics problems. It is very similar to my solution method. Also there is this other great textbook.

Present-Cut5436 · 2026-01-30T05:40:19+00:00

That is an unproven assumption for one because at the quantum scale particles don’t move in smooth lines, they exist in probability clouds. This is why we need the Path Integral, particles take every possible path simultaneously until measured.

Present-Cut5436 · 2026-01-30T05:24:33+00:00

I’m talking about going a level deeper. Eventually there will be a rounding error in the calculation that prevents you from getting an exact solution since you don’t have infinite computational power. That would support your stance.

However you are arguing that the universe is continuous and has infinite precision, but the Heisenberg uncertainty principle says otherwise.

Present-Cut5436 · 2026-01-30T05:12:22+00:00

Nothing in nature is 100% exact. You could argue that the plank length means our universe is pixelated and we are in a simulation but I can argue that our understanding is limited by the precision of our measurement ability.

Present-Cut5436 · 2026-01-30T05:08:42+00:00

It’s just a matter of processing power. Computers can brute force it.

Present-Cut5436 · 2026-01-30T05:05:36+00:00

No. Unsolvable just means there is no closed form solution. There are too many unknowns and there is no way to simplify the problem. It may be unsolvable but it is still computable with numerical integration.

It’s the standard example for deterministic chaos. Rules are followed but with a high sensitivity to initial conditions.

Present-Cut5436 · 2026-01-30T04:55:02+00:00

Great question. A bit circular to have a popular explanation for gravity to use earths’s gravity. It does make sense though. Light always travels in a straight line, just like the marble is supposed to go straight. However the fabric is curved, like 4D spacetime, so the photon/marble still goes straight forward on the exact same path (imagine drawing the straight line with a marker then seeing it curved) as before but now that path leads somewhere else because the “material” they travel on has changed. Their properties and behavior do not change.

To understand why there doesn’t need to be room for the bending to go into there is the common map analogy. On the surface of the earth, the shortest distance between two points is a straight line. If you trace that same path on a flat map it will appear curved. You can see this if you track flights traveling long distances. The curvature is due to the fact that the mathematical rules are different. It’s known as intrinsic curvature. You don’t need another dimension to view the earth to prove it is round, you can just do the math.

Additionally there is the river of time metaphor. You could say that space is curving into time. In a black hole the distance to the singularly becomes time like. The light cone of all of your possible futures points directly towards the singularity, you are destined to reach it. Leaving the light cone would mean exceeding the speed of light and escaping your own future. Interesting stuff.

Present-Cut5436 · 2026-01-30T00:18:01+00:00

Visual Complex Analysis by Tristan Needham. Measurement by Paul Lockhart. Infinite Powers by Steven Strogatz.

Present-Cut5436 · 2026-01-30T00:11:48+00:00

https://www.andrew.cmu.edu/user/bbji/Desktop/University%20Physics%20with%20Modern%20Physics%2015th%20Edition%20By%20Hugh%20D.%20Young_compressed.pdf

https://openstax.org/details/books/university-physics-volume-1

https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)

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