math

I just saw somebody on mastodon share this fact, and I wanted to share it here too :))

It can be explained by the follow:

2025 = 2024 + 1

2025 = 45²

45 = 1 + 2 + ... + 9

(1 + ... + n)² = 1³ + ... + n³

and since 1³ is just one, we get the above equation for 2024 :))

This also means that next year will be even nicer, as it will include the 1³ :))

Do you have any other interesting facts about 2024 ? :))

The best name I've found for the last formula is just "Sum of consecutive cubes". I had never heard about that relation before, it really is bizare how math is connected sometimes :))

Out of 5 six-sided dice, what is the probability of landing 1 of one number and 4 of one other number?

And for how long can this pattern continue?

For example, 22 has factors of 2 and 11, both prime numbers, yet 22 itself is not prime.

cross-posted from: https://slrpnk.net/post/3863820

Institution: Berkeley
Lecturer: Richard E Borcherds
University Course Code: Math 250A
Subject: #math #grouptheory
Description: This is an experimental online course on mathematical group theory, corresponding to about the first third of the Berkeley course 250A (introductory graduate algebra). The level is for first year graduate students or advanced undergraduates. The topics covered are roughly the parts of group theory that a mathematician not specializing in groups might find useful.

More at [email protected]

A neat short explanation related to building spheres with cubes, like in Minecraft

Piped links:
https://piped.kavin.rocks/watch?v=A2IAyXc0LuE https://piped.video/watch?v=A2IAyXc0LuE

An interesting stickman-styled animation that uses some mathematics that get more and more complex.

I would assume that it's higher that you would imagine.

Kinda like (2/2)+(3/3) but way more complicated

September is here, and school is in session. If you need help with specific questions, consider visiting https://lemmy.world/c/ask_math. Ask Math is a community for getting help with specific, focused questions. We won’t do your homework for you, but we will do our best to get you unstuck.

If you don’t need help but are a helpful sort, join us and help scholars grow.

Students and teachers, please review our sidebar for best practices on requesting and delivering meaningful help that provides students the chance to improve.

OpenMathBooks is a collection of free math books ranging from elementary level to precalculus level. The collection includes the following books

• First Principles of Math (FP) Math theory for secondary school and high school.
• Applied Mathematics 1 (AM1) Applications of the math introduced in FP.
• Theoretical Mathematics 1 (TM1) Math theory for high level high school courses.
• Theoretical Mathematics 2 (TM2) Continuation of math theroy for high level high school courses.
• Applied Mathematics 2 (AM2) Applications of the math introduced in TM1 and TM1.

cross-posted from: https://sopuli.xyz/post/2972305

Ramanujan Machine is a project using the computers of volunteers to answer some of these questions (using the BOINC platform). Anybody can participate, please see their website for more information. Related paper: https://arxiv.org/abs/2308.11829

The West Virginia University Provost's Office is recommending closing the MS and Ph.D. programs in Math. It is the only Ph.D. program in Math in the entire state, and about 10% of all WVU Ph.D.'s are in Math.

Please consider signing this petition to save the program.

#ProtectWVUMath

In the UK National Lottery, players purchase tickets comprising their choices of six different numbers between 1 and 59. During the draw, six balls are randomly selected without replacement from a set numbered from 1 to 59. A prize is awarded to any player who matches at least two of the six drawn numbers. We identify 27 tickets that guarantee a prize, regardless of which of the 45,057,474 possible draws occurs.

lisyarus explains the complex derivatives so well, it also becomes clear why conformal mapping interesting in complex analysis.

I understand that 1/10 is a lot more than 1/1000, so obviously some of the highest percentages will be attributed to the smaller apps. However, when it comes to ranking these apps, do I go by 5-star reviews? 1-star reviews? The ratio of reviewers to downloaders? How would you go about this?

https://lemmy.world/c/ask_math is a new community for questions with math homework and similar specific math problems. Come over and help more math folks grow!

Four colour problem