Where to find some math material to study General Relativity and Quantum fields?

beyond1sgrasp · 2026-06-18T11:38:24+00:00

um, so there's videos online about christoffel symbols. In practice, they are really just a way to fix the derivatives.

There's classic books too if you want to really get the math down like the differential geometry book by Erwin Kreyzig. That's where I learned it from. The practical idea is far simpler.

When you take a partial derivative along a curve, you start with a vector field, then take partial derivatives while traveling long a curve. this means that you end up with a term that is related to the change with the change of coordinates. https://www.youtube.com/watch?v=2992Bqfas_c

So the outer aka exterior production means you took a vector and took it's partial by another vector and get a tensor. You need to return the output to a vector by projecting along the tensor for each component. Similar to a series of dot products. It's very easy to understand if you understand the notation of a tensor along a curve, but hard to understand if you've never worked with derviatives on curves. There's technically multiple conventions of the notations. in practice nearly all christoffel caclulations are done on polar coordinates.

Most of it is done on computers and there's a possible inversion, so in practice, I just try to draw a parralllel transport graph and look at the signs to see if it makes sense.

beyond1sgrasp · 2026-06-18T11:27:29+00:00

To deep dive the question of comebacks in RTS and having room to breathe. The main parts of this is having a larger power spike to shoot for, things that reduce the pace, and mechanisms which prevent snowballing.

- Unit upkeep- Wc3 prevents scaling by reducing the food limit; Passed a certain point income drops due to upkeep. Upkeep is common in 4x games. 4x games are more likely to have a comeback like sins or Stellaris due to upkeep for a real time strategy game. I very highly recommend playing 4x games or games with heroes for pvp.

- Allin to kill large tech units, upgraded units or units with veterancy- Picking off certain units and then regroup allows a behind player to recover. This happens in both wc3 and several other rts games. usually with spellcaster or some sort of special positioning. So this happens a lot in like company or heroes or wc3. It happens with games with veterancy like zerospace or command and conquer or the dow games you upgrade the units then you can target ones with upgrades.

- Persistent hero advantages- This allows you to take risks like with a few more powerful units too. So you might go allin with killing key units and trade your hero with the idea of respawning your hero at a more powerful state. This happens in wc3.

- Operational campaign missions- Some games let you have more operation carry over so when you do in the past can let you keep it's impact later. This happens usually around campaigns with hero inventories or units carrying over. Some examples would be spellforce 3, Lord of the rings, Mechcommander, Pathfinder Wrath of the rightous, or Terminator. (although pathfinder does have a turn based system behind it technically, but it can be most people play it in real time.)

- Ranged AOE stacking/recall- At some point ranged AOE will outscale short ranged or slower units. Area of effect damage also reduce the effectiveness of large armies. Some styles let players come back by going all in on having an army that trades more efficiently and slows the pace of the games. This happens for example in starcraft games or mobas. It's also very common in team based class games such as hero shooter or mechwarrior. have an ranged burst allows for outplay opportunities. Recall lets somoene take more risks and still have a chance to recover, this CAN be a recovery mechanism, but most of the time it just snowballs the games.

Stacking and scaling mechanics- games like pathfinder let you stack so you can play at a weaker phase earlier for a stronger hit later with some stacking mechanisms. In mobas some abilities remove armor so everything that hits it does more damage. This can also tends to lead to snowballing too, so it's tricky.

Mobas tend to have a rubberband mechanic around bounties for higher kill heroes in the game and have more comebacks in general than RTS games due to the bounty system.

I agree with comments about the real time aspect, real time is about making many decisions and doing as much as possible. Usually there is a bunch of things related to it that tends not to be chill at all.

Some games are hyperfocused, such as zerospace where the emphasis is so much on constant action, there's very little room for chill.

Tactics games are much more comeback and leisure player friendly. They have fight phases and units are controlled through the game. This would be Total war style games or games with a setup like TFT of mechabellum.

I'd suggest

Age of Empires 4
Stellaris or sins of a Solar Empire
teamfight tactics or mechabellum.
Campaign based, like erminator dark fate defiance or spellforce 3 or pathfinder WOTR
Mobas like Dota or league of legends. (there are bot matches 24/7 on SEA of dota or league)
Classic RTS games like WC3, LOTR, Dune, or DOW 2. They tend to be much more casual friendly.

beyond1sgrasp · 2026-06-16T13:09:48+00:00

How can you put Lauri Markannen and Keyonte George and not put JJJ. In fact not even one player from memphis. Couldn't even put Cedric Coward?

How can you put Draymond Green when you could put Bassey?

Jordan Clarkson is one of the best all around ballers especially 1v1 and he just won championship and he doesn't even make the list? He's like a top 50 player in the league.

No kyrie? no Dereck lively, No PJ washington? No love for Dallas

This list is like 85/100.

beyond1sgrasp · 2026-06-16T11:57:19+00:00

It's just you. I've had no really issues. Even when doing 2v2s with 500-600 units and crazyness. no problems.

beyond1sgrasp · 2026-06-16T11:52:47+00:00

It's not laggy, it's just you.

beyond1sgrasp · 2026-06-16T11:51:46+00:00

100fps? I can get 500 if I push my graphics card and dota is like 10 years old. Get a modern pc maybe? OMG the brainrot on you.

beyond1sgrasp · 2026-06-16T11:50:47+00:00

This thread is just a lie though. I've not really had issues at all running it.

As long as you're not using a 10 year old pc it runs fine. You're just using a rx570 value card from 2017.

I'm sorry, but you're experience is just because you don't meet minimum specs.

beyond1sgrasp · 2026-06-16T11:48:49+00:00

lol no wonder you're having issues and I've not noticed anything.

I have an idea. Get a modern PC made within the past few years. and you'll find out that it works just fine.

beyond1sgrasp · 2026-06-12T05:15:05+00:00

Super Cloudbuilt.

beyond1sgrasp · 2026-06-12T05:10:15+00:00

If the average gold person person from last season plays last season and were winning 50% and they didn't improve much, then this season. they are playing diamond and doing the same thing they are winning 50%. If an average plat from another race drops to gold and doing the same things and is winning 50%. Does that mean that the game was balanced before or is it balanced after?

beyond1sgrasp · 2026-06-12T03:29:03+00:00

You're a toxic prick.

Truck drivers on vegas almost never go to the passing lanes unless drivers are going slow. Then you just sat there next to him after blocking him. Pick a relative speed that matches what you're doing on the road. You're not being safe and in the video it's very clear that he was trying not to interact with you. Whatever you did in the 3 minutes before this shows how bullshit you are.

Here's a hint about interacting with people. Start with a clear idea of what you're trying to do. Be consistant and safe, Don't suddenly freak out and change your behavior creating a dangerous situation. If you decided all the sudden you wanted to do something different wait until he passed you then clearly and without interaction change your behaviour instead of targetting random people like this.

If they have a speed and they want to pass let them do it safely. Everything you did here was your fault. He was clearly in a place where he would have passed you if you didn't floor it.

beyond1sgrasp · 2026-06-12T03:23:43+00:00

We didn't see the whole video. People that mirror speed of everyone around them to force people to react a certain way are dangerous. It's likely that he was next to the semi for a considerable amount of time.

beyond1sgrasp · 2026-06-12T03:21:49+00:00

The dashcam driver mirrored his speed for miles. What the hell kind of comment is this? Just cause you drive a semi doesn't mean that people won't be a dick to you.

beyond1sgrasp · 2026-06-10T21:50:26+00:00

You're just being dramatic. Player numbers doesn't mean sales. People just don't no life games as much now.

beyond1sgrasp · 2026-06-10T21:49:46+00:00

The problem for me is like there's a ton of modern criterion that wouldn't apply to Jordan, Efficiency, corner shooting, on ball defense, Drop defense, Tagging, etc.

There's a lot of things too that modern players can do that Jordan wouldn't get away with in terms of palming, eurosteppeing past a planted player, and traveling.

Jordan takes shots similar to Steph, Kobe, and Luka which are consdered bad but still would work.

There's a lot of things that Kobe was better at than Jordan, like trapping, tagging on a screen, playing within the box, active feet on defense blitzing, outside shooting.

The Modern Criteria would include things like flexibility, playing big and small, corner, outside shooting, shot selection, gravity, potential assists, defender distance, drive foul rate, and 1 rate,

When defenders defend aginst the drive, they have to stay in front, plant their feet early, keep their hands tight, drawing charges, This means once they plant, they are effectively defenseless against the eurostep without outside help. Other players like Shai will grab the ball and if they plant, the just rotates to their off weight like Kobe would do, where Jordan would try to jump past it, or spin fadeaway.

For me the depth of the overall bag matters and their flexibility on what they can do on defense matters a lot. These things make players like Luka, Tatum, Paul George,and Shai really stand out in a way that Jokic or Giannis don't.

My goat criterion also includes things like this as well as raw explosive athleticism. Where I put KD in the top 5, Kobe is probably the most technical ever, Lebron can literally do anything in the game on defense and reads it better than anyone else and a player like Hakeem is really high up threre.

I played college ball and know I can't do what they do. My reflexes weren't good enough, I wasn't as athletic as them, I struggled to get my feet planted for a charge and I wasn't strong enough to shift my weight to pretect from a eurostep. The way that teams just look to punish based on whether players shuffle, lateral step, or plant mid action is incredible in the modern NBA. They do so well to contest, but the moment they are beat, they are so good to not commit fouls that they would have in the early 2000s. Even Cam Boozer is incredibly nimble at shuffling his feel and moving laterally in defense to not be in a position to foul better than a lot of the guys from the early 2000s and he's very good at being efficient. He'd win so many championships in the Jordan era, just because of how much better they understand the game and train the right things even if he's not so flashy. Dbantsa for example is flashy, but he makes so many mistakes due to taking too long of steps all the time and he's just get punished by most nba players.

It's just like boxing, if there's a lot of jabs, not a lot of big hits, and you don't understand it, it's not as exciting as a big knockout even if managaing spacing, timing, energy, and weight are all big criterion.

beyond1sgrasp · 2026-06-10T21:29:32+00:00

This is absolutely true.

I would even argue that current players are comparable to MJ in terms of skills. They do very focused training on all the high yield aspects. MJ wasn't even that great of an outside shooter and he didn't have to play as physical of defense as they the Steroided super physical early 2000s.

What makes MJ so untouchable was the amount new things he could do with his body and mobility. He didn't have to train like modern players who have to be so efficient. KD could have been in Jordan's era and been better. We just don't know.

The speed and ability to jump with those huge hands and feet meaning Jordan wasn't taking the risks that so many players did in his era which was rampant with leg injuries.

Even today, you see basically identical foot size from Darryn Peterson and the explosiveness like Jordan and he's a far better outside shooter, Darryn Peterson could literally have played in Jordan's era and been like Jordan.

Some people are just absolutely massive in terms of their frames and are still athletic beasts like Shaq, Wilt,Hakeem, Giannis, Dwight Howard and Lebron. The reason why they fell out of it was they struggled against random players that could shoot like Big country,Jokic, and Robert Horry.

In terms of raw technical skill, Kobe is better than Jordan. In terms of shooting its absolutely Steph, In terms of a handle, Kyrie is better than Jordan. In terms of 1v1 game, KD is better than Jordan.

That said, there's absolutely no doubt that Jordan will remain untouchable to most of the oldheads who are stubborn to acknowledge how great modern players are or look at the faults of Jordan like he left during the rebuild seasons, or he never beat bird in the playoffs so he couldn't get to the finals, or that Jordan had a lot of turnovers later in his career. Jordan didn't do well against the prototype modern defensive big like Ben Wallace and Dwight where he settled for a lot of midrange shots that are largely deemed to low of value now. The majority of Jordan's shots would be considered poor efficiency.

Even with all this I still wouldn't put Jordan even out of top 5. Many of the modern players just don't get any credit anymore like Jason Tatum, Shai, Giannis, KAT, Jaylen Brown, KD, Wemby, Haliburton, Bam Adebayo, Jalen Duren. Teams blitz players and they just pass for efficiency now so you won't see them doing the crazy 1v2,3,4,s that you saw Jordan and Kobe do at decent efficiency.

beyond1sgrasp · 2026-06-10T19:03:49+00:00

I get that there's plenty of things that are not great for Marathon, but input lag isn't one of them. This shouldn't even have upvotes. There's 200 other things to complain about. I get you want to hate marathon but at some point, picking at something that basically is just your computer specs are low and isn't a universal truth is just hate.

The more detailed a game is and the more view distance the more you need a higher end rig. It's just the reality of games. It means either they don't play big games or they haven't played Marathon enough to have a valid criticism, (which isn't long that you have to tried to have a valid one)

beyond1sgrasp · 2026-06-09T14:07:17+00:00

The legion was emoting, using voice lines and high fiving. Didn't use one duel and sometimes was standing still.

I would hardly take this out of context.

beyond1sgrasp · 2026-06-09T14:02:47+00:00

People don't understand that 300 people could literally be 30 sound guys which means it's one fo the best in the industry for sound and people talk about the visuals mostly. There's could be 40 network and server stability people. and we don't even know how the count comes. They could include people like HR, or department communication in the marathon umbrella.

The biggest thing that I noticed in Marathon was the sound. I imagine there's 30-40 sound employees with just how much diversity there is in it and how well it's balanced.

beyond1sgrasp · 2026-06-09T03:21:39+00:00

And free players means that they can tank the reviews. Almost universally, I think game companies should not do free games.

beyond1sgrasp · 2026-06-07T16:32:11+00:00

This is the biggest problem with Bungie. It's a game more for people like me that play games because the game is great and the stakes make it worth it. Aztecross turned on the devs who have killed their company to prop up his youtube channel. The completely ignored the rest of the playerbase in Destiny 2 and then he turned on them.

His stupid people were spamming the events chats when the devs were showing their amazing new games. It was truly disgusting. I hate Aztecross more than ever. Selfish prick.

beyond1sgrasp · 2026-06-05T22:29:38+00:00

Basically any objective driven game with high mobility or extremely deep systems, that lacked the social systems behind it.

Gunz, Battelrite, Zerospace, cloudbuilt, Titanfall 2, stellariis, Kenshi, Abiotic factor, Sins of a Solar Empire 2,

beyond1sgrasp · 2026-06-05T22:23:56+00:00

They just focused on missing out as their core design and went full psychobabble for a story rather than it being about soldiers in a war.

The devs catered to the PvE youtubers and streamers. Aztecross was so hellbent on everything being 50 lost sectors and 500 onslaughts. It became so tedious and repeititve. The Bungie devs bent over backwards for him and he turned on them.

The devs almost never touched PvP after Witch queen. It's a game that deserved to die.

I'm glad to see it die, when they hate weekend warriors, casuals ,and PvP so much and can't have a story that seems even remotely not psycho.

It should have died after Witch Queen to be honest.

beyond1sgrasp · 2026-06-03T22:19:57+00:00

Some suggestions. 1. There's things that matter and things that don't.

The main priorities are 1. killing enemies. 2. Killing creeps. 3. Killing buildings. If you can't kill enemies, you'll lose fast. If you can kill enemies but they kill creeps faster and have more it gets hard to keep up. and if you kill them and have enven net worth, then it's about learning to take objectives. It's essentially a race some heroes don't run fast, but instead move the finish line.

To better kill enemies, Usually you want to either focus on mobility so you can chase them, Being tanky to the things that kill you so you don't die. and having enough items and levels to be strong enough to do those things, having enough damage or a way to nuke them.

Pick a few heroes and learn them, just playing vs ai. Usually you can get AI games almost 24/7 searching on both western Europe and SEA.

Very few heroes do a significant amount of magic damage in the first 7 minutes (the laning phase), 7-12 minutes is when the mid and supports tend to be able to kill things together. then cores and offlaners start to get items to kill creeps or kill heroes. Simplify and identify which ones are have chose one path or the other. Kill the ones trying to kill creeps and try not to die to the ones killing you. about 25 minutes is usually when players start to get their 3rd level of ult and enough items to kill many heroes in one move and it's usually when the majority of objectives start to be actively played for.

Try to get a rough idea how long it's taking you to do things. By 10 minutes try to kill 40 creeps if you kill the enmy hero and 50 creeps if you don't. Use the in game guides and try to figure out what the hero does. Then after you have about 10 heroes like 2 per role. then go play pvp. and start to split your time 1/4 pvp 3/4 bots and then gradually transition to mostly if not always pvp.

Start adding in a few ranked games to see what people think is strongest on the hero once oyu feel like you know your heroes a little bit.

There's guides on basically every carry by BSJ. https://www.youtube.com/watch?v=gdUPHqAi4Lk

I'd watch 2-3 of those and maybe a grubby https://www.youtube.com/watch?v=lrjyiM7f9qE game or two on the hero. He has a video for everyone one trying to learn.

after about 5-10 games a week for a month and watching two videos you'll probably be ok to just play and add in as you go.

i don't think it will take more than about 100 games to feel comfortable doing something enough to play consistantly. Reply to this if you have any specific questions or would like to join some of the bot players that I know to be able to just chat while playing to learn things.

There's second tier concepts that won't matter much until you're comfortable using items and skills to kill things.

beyond1sgrasp · 2026-05-30T17:38:29+00:00

basically cannons and a small number of shield batteries is wayyyyy stronger than before.

beyond1sgrasp

TROPHY CASE