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Happy New Year 2025

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231–240 of 269 posts

Re: Happy New Year 2025

#231

Earlier quoted context omitted.

Unless something equivalent happened in 1849, 1764, 1691... I think we're OK :)

1225: ten years earlier, Magna Carta starting to limit monarchs and the seed of individual freedom 1681: eight years later was glorious revolution with a bill of rights, marking individual freedoms 1764: ten years later, beginning of American Revolution and being free of monarchs 1849: ten years-ish later, start of US civil war; was the time of an attempt by the British to end slavery around the world 1936: ten years…

I love this! Haha, I was hoping someone would do that. :)

Re: Happy New Year 2025

#232

Earlier quoted context omitted.

6 is kind of cheating. It's a restatement of 45^2. 3^2 is the sum of the first three odd numbers. 4^2 is the sum of the first four odd numbers. 5^2 is the sum of the first five odd numbers. Edit: sorry, don't mean to be a pill.

89 isn't 9^2, 81 is.

Huh? 89 is the 45th odd number.

Re: Happy New Year 2025

#235
post #192

Earlier quoted context omitted.

They do indeed have an internal relation - they all add up to 2025. Obviously all the formula will be equivalent to each other. They are, by construction, all restatements of each other.

I guess that means that every number is equivalent to a formula? Is there some sort of metric of how many formula produce the same number?

You’d have to at least exclude subtraction and division (and zero) to not have infinitely many formulas for every number.

Re: Happy New Year 2025

#236
post #9

Given all the division and change across the rest of the web (and by extension the world), glad to have a place where I can learn, share, grow, and maintain an open mind. Happy new year :)

Same, happy new year.

Re: Happy New Year 2025

#239
Happy New Year, fellow Hacker News community members! As we embark on this new chapter, I'm filled with a sense of optimism and excitement for the possibilities that lie ahead. This community has been a constant source of inspiration, knowledge, and camaraderie over the years, and I'm grateful to be a part of it.

In 2025, I hope we can continue to push the boundaries of innovation, tackle complex challenges, and learn from one another. Whether it's through elegant code, groundbreaking research, or thought-provoking discussions, I believe this community has the power to make a lasting impact on the world.

As we reflect on the past and look towards the future, let's remember the values that have made Hacker News so special - a relentless pursuit of truth, a commitment to intellectual honesty, and a genuine desire to uplift and support one another. These qualities have been the bedrock of this community, and I'm confident they will continue to guide us in the years to come.

Here's to a new year filled with breakthroughs, discoveries, and the joy of creating. May 2025 bring us closer together, sharpen our minds, and inspire us to reach new heights. Happy New Year, Hacker News!

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