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I like Algebra, Ch. 0 by Paolo Aluffi, and Introduction to Smooth Manifolds by John Lee. | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1My0wR1BsRXltQl9vZGV3eXA4bWhkSFhiRVNOY21BM1IyTi03Njd2ck1HdmkzUTVETkczXzB1WFJIbkVLS0d4REc0cnhxQjVMMmRuQmlINnVPRTA2UXc9PQ== | Z0FBQUFBQm41UFA1THlSVDBqVVRHZUZ0RGpBVG1kQ3MyUTdONVJPVUpQR2VRQ1FpMnF6VTFZQU1NZjd6a0V6V2R4MFVnbkQ1UWlRN0Q5YmEzSkVHQWdQRGZldnBZRmstOTlwWGFfUGVFOE5zZEZ1a3dKbjVTZ2pQM3p5b2Y1c3V1T2dzclpVc1JjUWZ3MUl1VG1SRFMwV01PTnhaZFJpYUdqbVYybXV4LUlTc0ZXX1JPZDRlZ3dmYmo0WGNUYUY4Y2M0bk5wZnRoYkJqQk50QWo5YlVnczhVMng5ZVYydkFJUT09 |
I'm experiencing this right now and from what I've read on here it's happening a lot after 3 or so years, it's a hardware issue, a lot of people suggest replacing the screen but it will just happen again, if you want you can change the refresh rate to 60hz to stop it for a while but it will stop working at 60hz eventually, I'm really sad about it since I haven't damaged this laptop at all but I won't be buying from ASUS again. | r/asus | comment | r/ASUS | 2025-03-26 | Z0FBQUFBQm41UFA1S2RzZzg4d05Gc3dsVW5rdXBWZ2MyR2x6d0NId3ZKNndMRTIwdHdCWU5EMEcyVzhra2JaUTNaZkd1dUlBX1YtX1U4QnB3czA1WHpaNmJVMV93dnEwVnc9PQ== | Z0FBQUFBQm41UFA1cFJxX3FrS21HVkNvclhHR3R6RV82TElublpnMjdpLUN5Z25Dd2NWdUFTYVNfamZsMFZPYVk1cm5SSkowUWxvelc2ZS13RTJDdHRRMUZPVEVGWWM1WXBCRk5wY2ZSVzM5QjlkOEZ4elBGaGQ3RHhicGl0dDBMamJOX0o1VFdaSUpVRFFwNloxYkQ3Mlc5ZDVmZFlzcjlkR0JabXdCbzBuTldPZ050c2pRYVdDNXowNVhqNU9lQTJyYnZOc18tYTMwemZPenhuNVpOU01TbG91VVVZd1lMZz09 |
Hi there! This is a friendly reminder to change your flair to **Support - SOLVED!** after your issue has been resolved. It is an immense help for those that may come across your same problem in the future so that they can quickly find the right solution. Thank you!
*I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/ASUS) if you have any questions or concerns.* | r/asus | comment | r/ASUS | 2025-03-26 | Z0FBQUFBQm41UFA1bzJXU1hERjhkbFpFUkhjYWNzakpNMVpPME05dk9qMVh2ZHVrZmQxbElOWUFVbUVMdE1IMXItUURieEc2R0RYb29nUWYwWGZyelZDR2xKcGR3UFBsVFE9PQ== | Z0FBQUFBQm41UFA1OVVzWGZFbWlSSmUxZ0t5NkRneklXRmFCNHRQdC1Sck1FVGdaSktCZUFmaFZWT2dPU25oRnMwcVVDalZBdEVueEhpaDd1THRaRGNkRnVXMm1KbWhTcGhfblAtejZ2cDlEY3Iyc2xUb3FUUTd4ZEJIT3RJdXFxR3JBQm5SZFIyUm9HVkswTm1GSnpLdENMM25RbUZxQzNMTjY3NlVEaDVoR3NKTVFwTUtXR21OdXhXM29jZ2lBWkZxSWs3S1M1U1NfVk4zbzZYTnNjXzZxdTZKX2Rzcm9pZz09 |
usually local colleges have options to take classes as a non matriculating student | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1bUp1Q0RUcXE4R0pEQ2k2aG91N1d6RzN3a29ubEhndjIwY1pGcFpzOEtZT2EzT19OLU9qSG9NNF9sRWYzYkhGaEptMVprazJTY0p0VE1zdUZFbUx1OVE9PQ== | Z0FBQUFBQm41UFA1YXl6cjZTSVlOVWE3S0RXZm1ZazB1NTk2OWVydFZlY0JWYkpxZW80WWkyTUYyb2w5dDNnajJiY2dPN3NDZ0YwTjdTRmZKTjNScTZQSDF3akp1Z3NLbXFpZzVla3p3WkFjalpQekJhdkpweXZySGpEWE1wY1ZfUUdTZzd3TjFSd1c0VG9NQ1VldDU3cF9SZ2tjalo1dDdvUWhEZnFsVmh5cW5rQWtqWTlkMzIyXzEzTzlSWlBuZl9QWTR4YnBDLUtKc1czMW5nMjR2eWlmWHdaWTJxSFBXQT09 |
Take our money!! | r/asus | comment | r/ASUS | 2025-03-26 | Z0FBQUFBQm41UFA1bVRGcHI4alZsUHJQT196NDIxYTEwTm9wUU95QTN0blJ0QkVTUkduRmo3ZHZKSG8xUWo1akJxYWt3Rm5OU0ZJTHNXS0lBQm1EZGZHam10OU96MDZ6V0U1M3B2cnJXck4yeWl1MWV2ZDUwOEE9 | Z0FBQUFBQm41UFA1cXhzN2xMU2dkd3NEbWFJTkJ5RWp0NjNlMmFZbVdBZXY1Q3JyMDNBRGFqVXRGVmNSRlpFMXVOVm91dEwwNFExTkg0OGFZaUlxSXZnOW45cFpuS2lJek1xM2dRNFVGdC1Ba1haMTUybWtDc0ZBdk5EWmdDWXQ5eDI4NXBmZVlMTDF4b3U1VVpLWjhHMnkyMjQ2RjZYR3ZSMXNHcU5fX1dqQWhKc0hLRVcyTDlTdnFmbnZ2cmF2NllxSVNtQVNRWW5OVlJmTk4zUEczSFdYUHBMZDZzVkRuQT09 |
The Yoneda functor (or just presheaves).
For someone first introduced to category theory, it does not seem immediately useful, but it quickly justifies itself (via some basic lemmas and applications) as a fundamentally important construction/definition across many more familiar areas in math. | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1dXg1MWxCaW00SnVFWU1BaWJSSGV1Qm85ZEVXZU15UEtCQVZGQ202REc2NEdnbS1HcVpTa3lXSDVXS2w4NkQxeXZndV9RZnV1VXVWNFdUWmxVdlZXYWc9PQ== | Z0FBQUFBQm41UFA1Nk0tbDZuU1AtMDVTUHVrZ243amNNRU9sTXNBZ0dONXFnc0JsVnZFM2M5c0JuMVN0VEpuUFQ0TzZlM1dkVFNOV1BfRllEdHl4anJpZE1HWkp2dFQzSHl0anJoRFNFdE4wM2k5V19lLVBVck9Nbm13eGE2UkdmaFB6Ml9Qd1NUMTJsR0cwSXlJbmQzVkJKdmxBam02X0lpY2dKWThscGl0QjJ1aml5cFA0Qi05clZfc2llREdsQ1VVbjF1NjNhRjZDN0xYS0RBVzM5OHp6MnQtN3pIMlN2Zz09 |
Hi there! This is a friendly reminder to change your flair to **Support - SOLVED!** after your issue has been resolved. It is an immense help for those that may come across your same problem in the future so that they can quickly find the right solution. Thank you!
*I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/ASUS) if you have any questions or concerns.* | r/asus | comment | r/ASUS | 2025-03-26 | Z0FBQUFBQm41UFA1QVRlMml0RGwyTDlOV1FmV0NaZnpSM3VfX3UxOVhrOVo1UnZ3Qmo4aEFiNVpTbzNmRWlCOFF2bTlId3JkOVg3RnNkU2FHcGYzbjM2YVNlWUFRV0ZpTHc9PQ== | Z0FBQUFBQm41UFA1QUY3dEoyWHVRSHJVWk1oS1pBVXUwYzJCNmdtY2hyZ0FMaFJ3aDY2SlBhazZQSHV5YXNPcWdLMDRLQURkb3NXd0tjRjcxeW81TkViUm9kMms5Vlp5UXI5NktQRnVhY3RITUZwbkdiN3Uwa1Z6c3dMQzVjaGZYN3lkRm9fMU5yX2VzcUVnSUJCd3g2dm5yLVltaHVDZWJGVzBVVFRSdzJSa0k3VHRrN3RkTkFrb2lJdndDa0VHdUxBUFpDYlhXVEFscDdMUUMyVXR0bzBaMGpocGNQN2ZVQT09 |
I just really became aware that after I practice, I feel exhausted…I don’t time it, I just practice until I lose my attention span or my muscle fatigue but I end up feeling tired for most the the day post practice. Thought id just see how other people felt.
Edit: Just wanted to add this..I don’t play with or through pain. Very aware of what pain vs fatigue etc is. | r/guitar | post | r/Guitar | 2025-03-26 | Z0FBQUFBQm41UFA1d3ZfWXZpTjhNZW5vaHktU3UxUk5uXzZIS2I4bWgwV25Vd3hHNC0yZndFYUpJSkwzY19ZekoyNXhJeEZ2aWF6b2M4TVVDaVI2Z2g1T3VibEVVQUhMZE9Rd3oxc1VYaDh4RmZZYnYyMEVGTG89 | Z0FBQUFBQm41UFA1SGNsLTJGREc5RWFkUDlYQVh6amlwMmd6T0xrTnVBSmNXTzFJUDc4MWxROWtRN200MFU1Q0JQdHVlclVGY3lhNXI5RWV3R0VDWmZQaEx6bld1QlV6c0xWT3BxMDZOaTZINGc1azFTMVRoQm1OSmhCbWU5ZkVMQlpPZkZlSGxnekV1M0ZDLUhpRUZOaVdhVTBtTXhNcjJ6a1ZKOHJTVWphbFk3TnhwQ3E1ZUhjbjZDQjVZT2hPbGMyYWpldkt4aThq |
My department pays for a license annually. | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1akd0MGh4OTI1WC1zYUhNbmdLemN4emNkRElRRWhsbVpxZENieWk1VUllZzJZenVBYk1iczNua3B1bUlDTWxnSHljLVdWZTE2YW5kYl81R1BITXZRTHc9PQ== | Z0FBQUFBQm41UFA1bDl5UmZSTWctVXZpTXByNVlYRk5yNmJmdUsyMVg5cjluR1N5bVZPa0lkZXNFZWlCT2dsQXJHb2hEeWN1aW9laDNhaXV4TjduVHY0azZlQlEySjMwbC0tZzRVWlNuWXd0eUlmOEREcjN3NC1tVHg5UkhVQ0lCZWxHMXo2MWlEQm9iOXl0VndDaFFsNkZpM2pybEs0cVo0NmFnYkN5cWkyY25Ta1JHZDZqS1BESUFQRzNZZHpoTldpa0MzVlY2OHZIYWtLX252LUh0YjRmRTdULXQxOTZVdz09 |
Well I think the definition of boundary of a set. I first learned it on 3blue1brown as a point belongs to the boundary of a set if every open ball of some positive radius centered at that point intersects both the set and its complement. Later I learned it on Munkres book as the intersection of the closure of a set with the closure of its complement. Pretty cool idea that perfectly describe what it means to be at the boundary. | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1UDNOQUxVWFRDTXBEUmNLdjVuR2pyUkNtN1R4Y3oxdXVSS0xMRnFCc2c2Sno0TGh5cHFRRmN3cXNETDhpS2ItSEpJeHBiRmV5Y2lfenQ1ZzFJM2xOT3c9PQ== | Z0FBQUFBQm41UFA1dFVMMFBSN3cxNE5OMjNRdFYzNVExcVNObDFfQkJVVWhId0Z5UmVjbUQ3cGdZN2l1Ulo1UlI0d0RMYUp6SGswYlYwbU5ySGFwVTBvejBxa0pJN1BVU3I0NGtTaV80cEI3dkhwa0tlYWFSZHVWNUcxTkRTajBRNXd2RW9RMTFhSjE5UDJLMlRDMFh1MmxEbHo5cUp0Y2NuNk9ZMHQ5OEZqQ2xqa0x0MWtQeFVKbnQzZXNLYVZKSTlRd3I1R21QbzNTRFk5UlJMa1FIb3JfLW51Y3EyZENydz09 |
I want a new pickguard for my LP Junior and have been hearing rumblings about making sure I get the right material so as to not ruin the finish.
Is there any materials I need to avoid when opting for a new guard? | r/guitar | post | r/Guitar | 2025-03-26 | Z0FBQUFBQm41UFA1bEtSRHU0akl1UjBqMU1jT1ZoSGw1Uk9GZ3lGZGdIQjl4WFgzNlRBTWMyRm5zRzBMbTJaQVpjdTJodjZhNmZfWlRid3RQaFE4WGRqZjNZcUIzSTctUUl0T0pEWktXUkdCeTZfVERZQ2gwZ3M9 | Z0FBQUFBQm41UFA1anVmMmpURThDUGFSMkxXMmVtS2FRbFBHMFNBWjlOcGNwNV9zcnY4WE56dWJNWjJhTGIxbkJoZi1YWXJpZkhYdW5QTjMzdTBTUTRJdWtnd3d2ZER1Sy1nOWoyR01JQUp2NG9OQVNibEZmOGdoQzdNTzAwMHJnTGwyUmxTNUZqWEgwZld5bE5oMlg5OS1GRWhncnMzYTE0MFQxT2dIU0NXVjZDWlBZNTF1czhfSW5LSkg5aUFLcy10NHBRUklYWThC |
Hearing the topological definition of "continuous" for the first time after spending a couple of years with the clunkier metric space definition was satisfying. | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1Q2QxT2R2VFFEaFBjbXR1bW9ZRWVZbXFGd1dlZEdDaHY3UHBuSTFyLU9peTJoeEVNN05SRGFVeGZGSlVQZE96a0h5a2R3THpPaHVDYzU4dTFqdHRUR0E9PQ== | Z0FBQUFBQm41UFA1dHF6Ni1nRThOUUxxTUJSb3ExSU8xUDFSTVpNbTVfTzBzQmYzZDhtMnpvXzZSVWlOWVY4cURNTHFQS3NLR1BUSml6ZFRWanZNYkdmQWNPekxDZ3Q5VWNQTHVaQmFaem5FMldRSkxHVmJPRUxxbGpMOXFfdGw4enVEd0FjWVRTc2dZRy1FWC1KT2Q0M3BsbnJYdUNOV1RhRnhiams2REhhREFyUnRnbVlnalYxWmtGTWVFbnJhMVdsRlFYX2N1YV9TYjVOdm91dkFFQnVxdWpEQnBKcWx0dz09 |
In 1d, you can justify the claim that a critical point is a max iff f''>0 by looking at the second-degree Taylor polynomial, which is
f(a) + f'(a)(x-a) + 1/2 f''(a)(x-a)^(2)
And if f'(a)=0, f''(a)>0, then clearly this expression has a minimum of f(a) when x=a, because f''(a)(x-a)^(2) is nonnegative.
The analogous Taylor expansion in multiple dimensions is
f(a) + (x-a)^T df(a) + 1/2 (x-a)^(T)d^(2)f(a)(x-a)
where df is the gradient and d^(2)f is the Hessian. Note that we now have a dot product instead of a square, but this is the most obvious way to 'multiply' two vectors to a scalar, so hopefully that seems like a reasonable generalization. For the same argument to work, we want that Hessian term to be nonnegative regardless of x, and the condition that v^(T)Av is nonnegative for every v is exactly the definition of "A is positive definite". | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1dE9QQl9UZmx5Vmh5YjhBbGtLOHVBenhTUGVvZmh6OXA5OWlxREU1bHpWNXMzOGl0NkxJdWp6THFQVzR2Rjg0R3M1NFJDZ1VqX2lzd2M1ZlVhcmFiYXc9PQ== | Z0FBQUFBQm41UFA1SDRucUtBeDhnMXJtOWl6aDhyWnZMRFV4YmxhSVN3ZURrM3Frc3BpcHhFeF9Za2VWYTYybUU3R0RibkxhZElPWlJkZFVHbUNUcU16bldKeWw4ejJybDlCMEkxXzlBWUcyQlI4TWdvWXl6dkxXSWFpbFJIQXVjV3Q1UFk4eWRVQ2VjN1JIXzVSNThmLVlMNXdhSGh4NlZwd3A3U3FYWjRJNDAwdENNMlJJTC04PQ== |
Yes. | r/asus | comment | r/ASUS | 2025-03-26 | Z0FBQUFBQm41UFA1amNNT0d4VDFERzdTMzNVaDZpVHhtbXhLdU1LRGF0S0xmR0JJS1ZKR2RzaUhfRklVcTFZaDRTOG1rb1JTTUs3ZWtFV1VhM2owLWJTeWhZRkhac2V5VlF1R1VGVTJQdnJod3RfLU5kOTVoNGc9 | Z0FBQUFBQm41UFA1WFBUTFZnQ2NPSTBseUNmdHJHWHFOX29zbERJNDQ3OV8xRnZORDgyajdidFRZRUNLeWR2c3lVZHlfWnRBNnlCNF9PQUEzZXV4OWZyQjJiWE9kY3N2SmFXVjh6M3c0ZUFwXzdDaWRUcG1xbl9ZSEVReHdUbFZQYm1YUWM4bTdRRVQwVEZZZ1dHbkYzeFVaUk51YmRaZ1BlOUpVZ1Bua3BMZmJ2WERoUjQ5cU8wa3NyMElEdWIwNlczQ1FDNG5kN1Bm |
I have the same issue. Only glitches/flickers randomly. Sometimes not at all and sometimes a little and sometimes loads. Only on fullscreen and only with Netflix, Prime Video, Disney+
I've messed around with a few settings. Testing out using fixed refresh rate at 60hz 🤞 | r/asus | comment | r/ASUS | 2025-03-26 | Z0FBQUFBQm41UFA1TFlqblpjZy1jOENZamhhMmtxcElYVjJqNEU3YXoxVXFjVUdNcVAxZ21pcG9oaVlkOWlGRV9lMDhZdGZueGQ2aEVvbXd6U2pkeDhPQnZjMWhZNU5nS1E9PQ== | Z0FBQUFBQm41UFA1VThfd2Jid0l6WTZ0S2JkUHdwSnlMWFo4QVBFY3pFWXZxUm9oc1B5dzQwYjFBRHhBcWdGNGp2UkRQTTEzR2tpRTdSTnFTT2t0QlRna3Z5ZkJyZm41Qm9VNWJCZlVLRWhkajIyR0x0TGVzbkxDTUdEVmJpNE9GWjRJS29US1hGaEZwVTVMZTMxVWluR3pNc285eUFnZ2lkYi02QXBjMk9Jb0YyTTVDaVRTNTE1eHdxcm9qd1RKeVlSeF9uWjBDWXVn |
I kinda get the feeling you've skipped a step to show that you can't just find a different kind of proof in each individual case. Or maybe that is supposed to be obvious, but I had to think about it for a bit.
To show that I think you'd have to argue you could construct a Turing machine that goes through all possible proofs in order (by Turing number), and checks if it proves the decidability *or* undecidability of a language L.
Since this Turing machine can be built it cannot be entire or it would show the decidability of all languages. So there must be languages for which no proof can be found either way. | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1ZFdibjA3ZkZBbkZlbmM3OG5HUHRkLWprMzFFNmNNeFFVemRuNXI2cnU5d2FJa2M4R05IcmN6enZKeGlsblBiWVhhRklQQkxYQUt4eUE0R2JuZGkzNUE9PQ== | Z0FBQUFBQm41UFA1NlM4VU56aHdKN2tEZ0xkZDMxaTBKaG1yb0d1aEQwcVJtSm5FYjhfc1FwNGZCd1Jja0xfa2hBMTBpTHBVektUYmVvSUFZU2pSY29NaE43LWZaazVkR1dka1VUa3U3TUhabXdhWXN2TXNxWENNWW8wQ1h2RU5aQWlNcldqWUcwYUlwcmkyakMxT2hlRUZmZmV0M19fM3VYX1N2MVpyLUxKLTFnQXFaV3I5VW1lQU1iYXB2eGNlaDZVbWlSb1ZEdHBJNVc2RHZvQkZ4LXdQZDVSZmRNR0NTQT09 |
Hi there! This is a friendly reminder to change your flair to **Support - SOLVED!** after your issue has been resolved. It is an immense help for those that may come across your same problem in the future so that they can quickly find the right solution. Thank you!
*I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/ASUS) if you have any questions or concerns.* | r/asus | comment | r/ASUS | 2025-03-26 | Z0FBQUFBQm41UFA1VUEtUzFxLURQd2NELTJDWmlPZTh1LWtXRWpjUHJkOEdoTWRWY2RvdVdzYmxfclJMN2xGV1JjTWdlMWFBeFp0SkV1cUNGWEp0LVJxMjV6STE5NDVQeVE9PQ== | Z0FBQUFBQm41UFA1SnE4QWRDTXpmb01tc19ISTRnS3B3Sy1wMEUwcFE4Qk1RZmdJTnVPNnZTdVg2aVlkODh6TEtreTZCLWJkZVVVaUtlOENoRmZPMjlORUZXRmtOdFAzZjZmVGthNlFGMEh2LXVxR2FiWGVXMTQtUWtpWVdLMHVBTmJyMlFVUFI0NWlHWVc1RmxFY0lOY0x1dDRxdkQwb2ZGNjZUYklCRVhQZ29DUGltakVGNjRCZ3QyUlgteTliMHJyd1JpQVVWVGtf |
i’m a bit late but do you think it would work with the m1603? | r/asus | comment | r/ASUS | 2025-03-26 | Z0FBQUFBQm41UFA1T2l0YUhxQURPVGJ2enRpQ0RMekdHUURFd1pyYzVqaTVMSXlKSUZoaWcyelhtdnZwZmZqZmVROXpxci1SdlFsR1N4TTNkakFpSzc3YUtkZ0VpUjVCMkE9PQ== | Z0FBQUFBQm41UFA1Z3hJQ1lSbUJQQWE4djNiU0F0eUdMakQ3UVdVckFKMnNzX2RJczdmVVZqY09oX1VRYi1WdlZnQlNTaW1heVdkLU1yMEdpT1NvZ21kTm1SS2dqMWNfSVFhRFZpUG43Tnc5S3JVc0NBQ0hTMDc1eWQ4RzVKTFh2OG10VXN5T0NLeUU3ZDhsTTJEa2laWmlJRDFBMWM1ZFhmNVNSUGZOb01sa2xUdmdoSm1EcklZUGZ0UW54Q18zS3RqVVB3UERwZkk5 |
Thanks for your quick feedback. I am still on the fence with the Oled as I am also using the monitor for regular work and burning may become an issue. I have also considered mini led options that you recommended but cannot justify the 2000dimming zones asus one at 2800$ | r/asus | comment | r/ASUS | 2025-03-26 | Z0FBQUFBQm41UFA1Yk02TXoxWUdmaTlMV0V4Mm1RLWNOSXRHbGhNRmpwQkNtei1XUF8yeXdJTEh4Ny1zWE9abmxKbFJkNnlVZFJNWE8tWVlDbDBSdTNnXy15bVJFZTdpQU0yVzA3cExRQVViQ1FlUXpfQ2ZfdEE9 | Z0FBQUFBQm41UFA1TE9FLUZJS0YzdmZXSXNEaVlFMm0tbnN2RUQtUi1pNkpGeG5iV2tucnIxUmJrWnNhNEFkTlZkdEhDLTV3V1BDaEdVZDJ3aW95MTJIRkJuZVMtaDEtUGpqWVpoWjNSTzl0dmpiUWJQSER2cm11anZfRVl5YTFSM0lFdFFFbXFlcG9WSWFrOWFlWWVUYWxQVGhpTW5LODlSdXNYaG5oOGJreUdUQ0FVcUljMEtkeWc1aG1yNUstdGVJNjdhem9hQ0lxcENzYUF6VnZQN2VHbHBuZ0NOY1FNUT09 |
Wouldn't say so if he's about to have an exam. | r/asus | comment | r/ASUS | 2025-03-26 | Z0FBQUFBQm41UFA1QVVTdjJwbHVUbmVHVkJmakZoX0xxQk9jemQ0Ml9Xc3BEUjdEVDJOX2xqNFhhQlZ5WERJVVl0clgwbXlzT3F2N1YxaXJiX0J2Q1gxdnpEMFd1Tkwxdmc9PQ== | Z0FBQUFBQm41UFA1Szg5SDJZUlhxc01iWHZNNzFsbEtZSnhQMlZ2OW1DT0otMjA0Z0ozOVlMS0VGLXdpNThBZV9hQ3ZvQ1BCcUtmUnRnT3p2Sk5iT1lXRkxZQVNSdVY2Z3E0RklfVHRPUXhzemVZYnpIdzlHRFhmOG1XRTFXZl9JRzJIS2pyTWJDTjlxMXN6SnptLXBaUHE0WGoxczVfV25mc2tVRnh2T0ZRa25WWXhyc3ZsME84QlVDYks2aWRiZTF2cWg4VkdZc1ZZeFQyVG9uSWlTWkx0T1k1YVd5TkpDZz09 |
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*I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/math) if you have any questions or concerns.* | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1dDNsYlRhWTlqcm1VeWxRRmJqdEo1VU8tcWNkQkFyMkkxaHVUcUpTSnNmZHdPcjltQ3VNbmc4Snk3RHhiaWdRR3lZX195eVJkVnFySnNETkVxWGJ1M2c9PQ== | Z0FBQUFBQm41UFA1UTNfMUxrTjNDa0RVR3VteGdyX0xkdkJ5U2NkUHJlRU1YVWs0cG10TU90UzlsQzEwdEF4SlpHSDFOUmF1dkFxZ2lIMHFiT09KMTByTEFxQk5KNWY4N2FLU0cyT3JfSDNacnBsdmdaWDVxSDNOdy1GeElqTGZLTHM1WUZrOUpnVS04cG1HLTJER0M5UkJDUEdzS095eGJZOFpyaTZVV2M1UmVkUmRteE85ZWVBPQ== |
My Astral 5090 runs cool and quiet with no coil whine. Tried both BIOS settings and same, coil whine is not an issue. | r/asus | comment | r/ASUS | 2025-03-26 | Z0FBQUFBQm41UFA1R0x4LXFRazdpYkFkQnhNeU9tanh2Z0VnTjg3eGRUM1phSl9JYzNoSUdmMVMwX0xTX0NRYU94NXNTd2g4QVpwZkFnVEZUaDU5djdURTh5U0cweUJYUmc9PQ== | Z0FBQUFBQm41UFA1aWt5TmdHYTBtckRFdFIySFEycnUwZTdwZmJyYW1XUFFjWk5NTUFqc3NoaGtqTDRrYk9YcGRTRXdPbkhEUHFJd3pDT1NmSGYyLU9LRmU3TjhlMnRKaVFzWkV5dGxHdW1STDJueGtSY0M2NGRkSlg3WFZIUXhmbDBiZE1wYjdKa19iYU53R2s1cld2VnRwaE5EcS0yVlRpRjJnUWI5cnZnSzJSUnlQZGdZOUV0Ymg1NTNDM1gwcEtZWmQ3QV9PS3hy |
A fellow Second Derivative Test enjoyer…!
Here’s a cool way to think of it.
Suppose F has a local min at a point p. This means if p changes slightly, then the value of F(p) becomes strictly larger. So, if start at p and take a small step in some direction v, we land at a new point p+tv, and the new value F(p+tv) is *larger* than F(p).
So basically this means the function g(t) = F(p+tv) is *concave up* for small values of t. And this has to hold for *every* direction vector v. Think of g(t) as the *cross section* of F in the direction of v. Here’s a summary so far:
Theorem: If all cross sections of F at p have positive curvature, then F has a local min at p.
That’s basically one of the cases of SDT! Similarly, local max means all cross sections are *concave down*.
What does saddle point mean? One cross section has to be concave up, and another has to be concave down. Let’s say F is concave up in the v direction, and concave down in the w direction.
How do we find these two vectors v and w?
Theorem: They’re the eigenvectors of the Hessian matrix. Literally a crazy theorem.
The nutty part about the SDT is that, to know we have a local min, theoretically you have to check concavity in *every* direction. But the SDT says no, you only have to check in the direction of eigenvectors! And the curvature is literally given by the eigenvalues of the Hessian matrix: positive eigenvalue means concave up, and negative eigenvalue means concave down. This is why eigenvectors are called the “principal axes.” They control the behavior of the function in *every* direction. | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1Q0lmY3BzNndKSWJxclhtdkxXRGVRRUdwYVRWU1BiRVdFbW56RlpBVTRUV3U5cXdtUzRZZ3lIN2Rja0tPd2JERlRncjlEa0ZqVlVUVXF5X3gxd3prYnc9PQ== | Z0FBQUFBQm41UFA1eGt0NkRocnNnUm1UaS1SQ0x4UGdaX1dTT1RXdjM3YnNiNFJGTHNRTkRSU3ZET2R4QTNRSjBoUzZvYnNPbWQ3TnNydkh0a1U0Qko0T2JJWGpPUnQyTW1EMlFwYmFNNFNqd3JJaEZ1SWdtb0FpeVRpSW9HT1BDZ0UzellkWFJnYnc3SVROTEh0YlcwZFhCX2haS2lpY1QxNklieVhVbXNhWWdlUEJWYWRrWm9JPQ== |
>All eigenvalues being real and positive is equivalent to the matrix being symmetric positive definite
Huh? [1, 2; 0, 1] is asymmetric, not diagonalizable, but its eigenvalues are all real and positive. | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1amJTbWVpeXFJdElLczZNVm0wRGdkVE05T0hlTVAwUEI1aUFHaDIyUHk3Um5pd1RUeVQyTHJubnAtcWthbVZ1dFZMMGZiSXV5SmVxcXVGZHJTSFZZdnc9PQ== | Z0FBQUFBQm41UFA1X21GLVVmclZhZ0lRbW1iT2VnRDFuRFlfSEZIV1NtV0VsUnNqWlVlMXhxbmVHaERsV3o5alpadTdnYzI4ZmFreU9QTHpFS2hQNFNMczJFWmtLYzZwU3d2dmRLampRLVJXRmM5dmZwRHh2RjJIM2Jtek1GT1A1RnJOWkd3UUxGQ0hOU0gxdUt4MjJpQjNvVW5GV1VqSUJPMkg2d3gzOHZpOHptb240SVVocVhJPQ== |
For me, it's the compactness theorem | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1empzUUhQX182cjVtaDFUZXB3aWRQdGRUdVlqT3Z6LU05eHhGd0dka1Z2SFotYzVzalZLRkhlUWtlVjBoanhXWFJob0drNXI1TDFxZGR0djNsREFTSEE9PQ== | Z0FBQUFBQm41UFA1NFhYQ2UxOXV3T3dZZjRRQm8ycHR2cVE5OXNkZnZlQzJBRDVUbkZXaWEza1FZTDhiN0o5MjZDemx5dHdjTDJBaE5zZ0xuT0RLb0ZYcHZxTXQyNU5yem1HbUlPd0xpSGJiblR6c0x4UE1odDg1X1lvdXZLRlJtb2dWS3ZRQi1HVlNKazNuZDVYd0VkOFJITDk1SDN0TEJhRXhmaVpST1phU1E4UU9zZ1lEeHpveUZQa0ZPdGZyakxERUNVRmMxQ1Uyem45SGRqT2hwQ1J3WHl5QTBSVTM1dz09 |
Compactness is one of those things undergrads have a tough time wrapping their head around since it shows up in so many different areas with seemingly arbitrary definitions but once you get what it's going for (as a sort of generalization of finiteness), it's gold. Compactness in model theory especially basically makes the subject viable to study. | r/math | comment | r/math | 2025-03-26 | Z0FBQUFBQm41UFA1S0Y0Q01lMlY1SHhtVUVqY19MN2VYek9kSS11MmV0XzZPalhOZ0syMF92U2lIejRFMi1vdFVDV2xvcmhqNlhCQjNENEZSVE5mYXRJN3Jydkl5aVJDU2JyYTFFdlJyc1NfMHJac1NTR0pVNm89 | Z0FBQUFBQm41UFA1R2ZkSXduNmRIZG1WSDMtLXB0MEtVc2gzajZNc1RPQ19Cby1Fb3o4cy0wSlZUNW5vUHdmNW9YOS1NajRuWm1KYVFMcnY5d2EyQllJQng4Vy14bWhJZXlHdmwwWDUyU3ZKSFhZaFZzRldiS2FsQnlmdldaRWx4XzJDQjZrQW5RT29oNWpRTVZzNG1xQWFaODB0WnR1d0NpSmdXXzZtRVg1MlE4UjNDUHpuaGNzYXMyVlZpRXJlY3Bqb2xEaGVqNHZlU1kxdUlIT1hOWjFPcEtyaGExUXRwUT09 |
I feel like heuristically, it’s probably best for someone to not move and the other to try and find him. Then again, you don’t actually know whether you are the stay-in-place guy or not.
why is there going to be a solution anyway? No matter what path you choose, it’s always possible for the other guy to choose a path that indefinitely avoids you. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1WHRYZ09YR25CYWZHbVpnYUtyMUtJSU1pVzFmR3lZdGNUd01Bb3VxbHdUZ2xOWnVxUEZHRzl2ZmlRQUQtcG5USlMwakFTaEdsSmV4N0hva0VFNnBYU1NZWXhVZDJ6N19mZ01RSHJuVDdSbm89 | Z0FBQUFBQm41UFA1NkVXS2k2YXMtbEpvYXVHSmZSTEREZDB5QWkwQkhOVkw2SUJWVThkUmgyenprZ1dhckppemlKT0tVaHRNVkpERmcxV192cHlYTmpZS0h0SFEyQ3JFMDhyN29SOUFDS3lxbDJTcDl0MThFRlVJbFB5U1pGTDJvbG9UOEI4SkVHX0dpdFd5eTBHYkY4VTJXNGxqVjQwbElFVXhYMS1pYzgzOXFnRHVSMWFnV3RLTEZwTGQwcktGMmZrNGxNRzI4SmMtbWMxR3M2cVRlczc3S3JNS1hVTmhVdz09 |
Exactly. The reason I chose it is because it's initially rather unsuspecting, yet it carries so much power when you learn how to use it. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1dHRjMTkwZkp5LWZFSlJDM1JhTU1fSGtsQjFhOEYwNEdrNGk3QS1mMkxnSDFtek9DQmhWa0lQQVptdHIxUFdkdG1wRmxERGRNcDJnRVhWdG0yeWFWTUE9PQ== | Z0FBQUFBQm41UFA1LVRMX2YwMzNBSzFYd3JDMXptajZ0ZnFYaXg0TklzMzVHbXdlUzdGaXBNX2ZoWG5MMDhMSnYxOTBlcDl3b2NVLVJnMXZ5YUpVajBLMnE2eGJyX2ppam52Ylp6eWNUYVZDd1B6THN4bFRVOFkwSmRyMnRUUTUyWnhQSWhqN2xWZnVVQXJicVZpUUtUb0VlSWVBa3Nnd2hMdXo2a1NvWmJiSkstSXdITC0yWGQxdVgzSS1ILThXRFl1V3hNQlFrWXdEREZ5TmcyV0o1OWlWZ01nb0I4b0VSQT09 |
I’ve only really had American-style tube amps before so I took the plunge into the Bri’ish tonal palette. So far it’s pretty bright but if I roll the treble all the way down the highs are far less icepicky. When the volume’s at 6 the amp starts opening up with that sweet sweet tube compression, and it has way more headroom than I would’ve expected from a 10 watt amp. The onboard reverb isn’t too bad either. | r/guitar | post | r/Guitar | 2025-03-27 | Z0FBQUFBQm41UFA1YTNJRHpnSDZYWXhuY0lYZTRYZFlmZEFkZk9Sa1ZOMFFMajF0OFhoUUEyR1B3OWgwUk05YWlfSExqYzd0U2ZNSmdOYWhDSDY2eGk4S2tjcTZVTWtzaFE9PQ== | Z0FBQUFBQm41UFA1LWZoY0wxYS10bmZiMjU0WmtPWGVHWXluOFNXZ2hzMFBNT3lOdkIwZU5yb1ZQSFBWemI5UDZ4VlFNZnFIS3FvMEtpUEVRamZubUNYTHB2Y2trazIzRF9HZG14TDJMZ1dzY0stbDR3Uk5EUGhoUG1rcXhVR2w3dVFZR2xxU0VRQkRwZUxPTnBILURrMXBIUktScmVTVzR0bEtIU19xVVFrUVluaDNIaGZNU0E0PQ== |
Dummit and Foote | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1NkR3YUdRU3hPcnZua2VHSkI1bkxuMzNMZGlSQ1NGN3R4bmdFVjlEWTJadnZKWXk5ZGdrNjhsbmJnSFBKNnQ0cDBYVGRpTmxSRDRwOUxKQjhwOTktV3c9PQ== | Z0FBQUFBQm41UFA1cVR2YVdrdlhwSVR5cmhTREx6ZjVZWHFEMkpEMDZ2ZzJqRWplenRXQ29qWTEtbEFkaHRPN0tneTcwQUxEWU93aE4tSEJVUE9OdEtfR1I3MEJrWHB6RURpUzBlWWJxYXNnZl81Ry1WdDZLLTFjMmNnS1M1R2ZuY2J5SC1iMHdVWmxHUHRKbjhhemcxT0ZTRTYwQjJmbmJ2OTVRWUV5azlvQ1N6MjFTQmIycUk0TmgwVHJCTUpYUTZ0YTlmN3VnYVVMT3EtcjNJQUNZb3k5bUlPb2lRY3NrQT09 |
Oh, your whole post is about dummit and foote. Lol | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1VE5KSEZVYmc5ZWFSbFpkRF9jRF8zVFNHYk5nMUVzVXZQU2pFRmNBdWFOWGM2b3pCZGprZHdZWmIybEtEdXVwSFFva0hjS1BRWm92WmxoQjI5d3RGamc9PQ== | Z0FBQUFBQm41UFA1X3NBSWhDcWpRaHRfRlpvTGpBOExFTl9HRlh2UFFaZ3MwdWprbGVBMVVlOUFESFVYNmwzVnBxVE9iZm1aUG1iSVJsSHphVl9CelJuQ0tVTjZnaTA2QnIzRGF6eHllTV9OOG56OFZSQTNRX3RabkUySV9KVmJxZ2NIbXdGT2VYNlFxN2h1ZlAyMXVoUHo3bEdraC1SWWM5cGZXX2Z1WkRDYjFkVHhSWnNjWlFfa3RNRFhlbnJuTEEzMk5La0diNUl5VndveGF6RVZVcXktM25hTlAyT0lTdz09 |
Hi there! This is a friendly reminder to change your flair to **Support - SOLVED!** after your issue has been resolved. It is an immense help for those that may come across your same problem in the future so that they can quickly find the right solution. Thank you!
*I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/ASUS) if you have any questions or concerns.* | r/asus | comment | r/ASUS | 2025-03-27 | Z0FBQUFBQm41UFA1eS1HTE9lLV9tcGhkX0ZuRlA3ODNXTGp2M3pJVWVEa21mVVBzZWx3ajNCTjF5S1YxRUhJYzAyZ1VfUzByMDBpa2JOaVBtZVhJYUJLVnRaTFBHM3NEUkE9PQ== | Z0FBQUFBQm41UFA1Y2xqdWNFaTJpNTQ1X3BEYmhoU3BpdmNPQk9SWG80aFZ5bEtqcG11b20zVUZlSkkzZTV0YXFxY3AtV2NNNVRrcldORlZ0dUFQbFM0ZFVXVVNvSTgxMGNyemJWNl9xbXBBdTdXazJ1NHVIM0VpcHVmX1dacGZKM0l1YS01MVE2VGU1TzIybDRacEljLXUtWnBOTUR2N2kzaDU0UFBoendoOGZsdUhwczBteGlyZEZEX0ZDMlBWM0Q3WV9QYkRVOXRLVzNqcVRwUjhvMGFXRzB2a0h5Zk1KUT09 |
I’ve seen a few people suggest the Rio Grande Muy Grande as an alternative to the Monster Tone, and I’m curious if anyone is using the Muy Grande and if it even sounds similar to the Monster tone, and if I would be better off getting a Dimarzio Twang King to put in the neck of my Tele. | r/guitar | post | r/Guitar | 2025-03-27 | Z0FBQUFBQm41UFA1TlNJVS1LZC1hZklrQ1NkZXAwcG5HZDdFLWxLdUxycFY3Vk1paFFKelZsallOTlF2UUdVOFlSN3B0ZnByRmVaTmFWVUdQLUw4SW8zUmE2WUdza1Bfenc9PQ== | Z0FBQUFBQm41UFA1UE9MTWRhSWdobmNVM1VjUWtBZXBRR1lSY1hPazY4WjZXR3MzMDV2ZnN2dXBZalF0ZGxJSndFX2ZKcFRTN3JXWTRFMW56ZWx1TndOYlktVFFYSVFtX2oyZGRLNGtVS01HRlE1azJCajhGek03dmloOU5Rc0RvdVBUVnlKR1l1R2EzaGJ3dWZrQmFGR2pnUDgzSkxiUS1nc1hZTHdhSVQzcXhua0lBQlE3Y2VacFhla3FtX3FyS2EtMDZYTUJQMzdXYUFmLXg5QV9paDVCS2l2NmU1N1RHdz09 |
This guy does not algebra | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1bGQ1UVl5aWNoUXNKcE1Md0Z0RDRlLVdZTnBZSGxWTW1lblNLOWpoU0trUkN3UFh5bU9wRGpFbjF1NXFEaWlXNTd3Z2Q2WnA3Z3RVSUFVTU1QUUhLdHc9PQ== | Z0FBQUFBQm41UFA1SFdyWENKQzBadU00dlN1cVpDZXdFbUZzalBHZUtHWTVsWW5xdFBrZnozRmFfUUFRMXE1TXlhODJCREIwdEVCdXZlVUplZ2RXSENob2NRVWFpNlVlNDZWQWE4aUNjUHdydkdxVk9mOHQtTUpDYmlvSDI2d0tNdTc2bWJOOG5EeU9fR3V4TkNfd09RdkJURXdSeEx0T2xST05tT05wazF2UnBYQVVucW5valBxSU9RTHpsUFBORmxsME9zRlAwa2ZZcHNJcktQTXFFbHVnaEpKMHB6WlhpUT09 |
Haha! It is a great book. I appreciate it more and more as I learn algebra! | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1OWZuNzRFOVlQNFhXbTIxVHctaHo1NFNDRDV5Q1dXOEdvdDIwMTFCcF9IMUFITFdpcnFmbGx0RmozUFVEYTN3X2xTQU9qQzk5ckMwYld5SEt6MnBLVmc9PQ== | Z0FBQUFBQm41UFA1WkRzaU9DMVBKc3J4LXZySHV0VW5kNHZQcjJfcjVyLU9OWGNqM3lVcTF0eDdLSzFnUnplNkVNRlVCa1c5Mi1BUGROeWloZk5YTEpSRk4wWnVaaWRjVzZ5UjJCcHZ4bUROdWU5RWgwQzlBSkhYYVdpZVBTU1REcUNEZjNnRFJsWE9KeXFTLXJrUDFrNWRwekJkamRjX3ZNWnNuTkd1VE5DbUs4NHdYYUFXOHFObGhaMVVrNHhGSzJleHNnRjloczdzSndfQ2g4SFhFWF9VclZiWTBJalJwUT09 |
The red light when the pc is turned off is normal for the Asus rtx 50 series. If everything is connected normally, the red light should go away after you turn on the computer. | r/asus | comment | r/ASUS | 2025-03-27 | Z0FBQUFBQm41UFA1R1FScWZYX3BjSC1IVjhrUGFvQ0U2R2hBOE5PU2pHc3U1V2RKN2YxTUxDQzFucnNUVmFpOXVkd3FfcHZmUGJhemdQSGhoTGRrLWdkTEp3WkFNRHlIQXc9PQ== | Z0FBQUFBQm41UFA1SDYtYTQwVmVnaWNPMkJJaGkxbXhYQlduT0RoZEFWaHNwXzUzd3AwTWNocDBOVldSTER1ZGFDLU9MQnBpMmdHSUsyR2Z1X2NTVDM0c1NxVDlZR1hSWW5acWJad0pjYzR3Skk0MEg5OUJlWXBGZ0doYmhDeU94TzU4OFhwb3FCdlhSeUJrV3YyS21jX3VBWmlmenltOG9McHgxNnJVQW1kNUJ4amx0YUduWlVGTWFvczdfWDNZTER1SWg2RmE1Rks2 |
I've heard only good things about that book. I've learned some rudimentary category theory from the appendix of Dummit and Foote, as well as Mac Lane and Birkhoff \[somewhat dated, but I feel the same way that it contains a lot of math, maybe it's like Dummit and Foote for an earlier generation?\]. I guess it's hard to learn modern algebraic geometry without a firm footing in category theory, so I should probably try to learn more. The Rising Sea also has quite a bit of category theory, but I haven't found the courage to start studying algebraic geometry from that yet! | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1ZTR3b0FmeUN5VHU2VnFJNXBRZlJHVlRXV20tbUR5RURxZThCeW9xT2FTSms3ZnpNbE9Nak9za2ZlVXdUdmJxLUNieDU2aWhCWUY2NGhEczJnZzJrcXc9PQ== | Z0FBQUFBQm41UFA1QmNqdUhMWDk0MWZ3T1dMbXFqQ1dsYTA0Sk03eTNLeWwwOUJvMnFRNmtmdnU0azNVUGdDSVdPOW9uMTNPRUtVTjFGOEU2NmstRWJHMTRNcllQVjZna2FQNl84aFV2SmpQVEYwSWg5bjFjWFd3S2VYNFhIN0RMZzE5c2dHOUFEaEtUT3RvQW44SE53Ry1pbDdDbWVHMllqQTh2ZkVkX0lYRnJZOFBxMnNfREd0M2ZlQmlMclhIcEQ3ZEdweDNDaUdCbmlUd1RBUkdJSFBYSnhGLWx6Wk9qZz09 |
Rudin's Functional Analysis
Simon's Geometric Measure Theory | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1SmtfTjNXdnBDdVBfZ3RzaEtnYVJRYnpULTExZUwxTzluRlhfcjhkUDR0MFFrdHRHSWhmYWZQN0ktQ1pqazhIT0syWkpGc09OX2sxMEhlNzFBTmVoZWc9PQ== | Z0FBQUFBQm41UFA1X1U1ZWxsTHRCNlFRN2pZSzcwaG9FUi12T2hDT2hnd1hoVFRmU2pFcjh4bUVseVBZMTl5cnEtckhrTXlIS0J0LWwyZ1d1bzJDT3JSbnV0RFNqbUxQbEtIRnN0Nm5GOGEtLWhMMnJzWUltMDVranJDVzdaTkNEY0pHcUU1eWZDeWEySzQtM09oa0p6cjhtUUx2TDJOOVdTVmwyOTk4dFVKZGc2Tm4tOHlubDhrZTFIR25JWXlYZ3FnenM3SV9YakM5dEFyT1lzSnV0WE50ZmVNRHdfeHV1Zz09 |
The theory of crystal/canonical bases due firstly to Lusztig and Kashiwara, very roughly speaking, is an attempt at giving explicit descriptions of highest weight modules over Kac-Moody algebras. The problem with the Verma module approach to classifying simple modules is that, while it gives existence, does not tell us much about what the underlying vector spaces of these modules look like. There is a paper by Gaitsgory and Braverman that explains how these crystal bases arise somewhat naturally from the geometry of flag varieties. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1SmhsdDVfNnl5RFhIejBHQXQyalNoS2lFMjRVQlM0LXhhM1E0MEI5c1lGNVZJcWM3ckd2Y21IREpFbUxsSVU2QVJaYmVlYlpLT05vUFlrV3NaM0oxUkE9PQ== | Z0FBQUFBQm41UFA1a2wza01PdnVyeUtWQmZKRk1yZFZtc0Rpc2doZ1d1R2RrN0NRUXFpTlNnNDZiVXVzVlFUNUJ5WnZOTURJZHJWdmJuTEt5SFVObW04dlprYXFRSWk2MXB2UTBpMDhwUmlVZm56dHhmY3JaZWUxTU9yRlhfcERjQ0E4V1djQ2hYWjAyRGszUnVzU0owY3RpZkRmd0R1Q2FOWkFGZ2FZZ2xTYUh3QWZ3YkphX054aHlhbldqMkhCMGpIUnpfMG5XblNQZkVERDJDaHhqZ21iOHlURy00S3VjUT09 |
How the f do these go in lol...there doesn't seem to be enough room...they are going into a cheap Livingstone Les Paul..was originally going to put them in my epi lp standard cos they have push pull pots but I decided against it so now they are going in my sons cheap thrasher, but yeah it's a pretty right squeeze from the trys I've had doing it. Also..volume up top tone down bottom is that correct ? I get so confused with four knobs 🤣..I'm sure there's a joke in that lol. They are the AliExpress classic/standard epi humbuckers. The original ones were really tiny pots | r/guitar | post | r/Guitar | 2025-03-27 | Z0FBQUFBQm41UFA1NGNWUlBmRmJEMDltbnRnYkxDY3FHTDUxR3l2N250QjYtRjNzeE1lbGt2UEtaNTNjT09SRmJhWVg5RVlKZmQ0SEk4c3JaalBpTWNMMWF4Qks3MHJIYmtkc19iVjA5ZGlNSFpkS3RuTjFDenc9 | Z0FBQUFBQm41UFA1QlVQcW1VQ1RXZkxQU3NKdnR2Z0ZrQXR3dmVUUGRaRDNBbzZfMWlaWElaaFJOT0w4ZXdBb0E3NlFFdWxkZ2N3SmlpQUw4S2lIbGxSOG5rZHhnb0JqOGRUakQxUk5SUjhzVzZSZUpIMFZVNWZsZWt3T056UWNmNEhwYTlvc3A3VUNsNk5MTlNpUXlCcGVCWjdMR25seVdpLXNJa185bF9XTEwxZXBBWnVRa0JvPQ== |
I’m looking for a fun movie to watch with my friends that will have us gagged (either from being extremely good or terribly bad). Bonus points if it’s funny and/or gives us something to discuss for hours on end!!! | r/moviesuggestions | post | r/MovieSuggestions | 2025-03-27 | Z0FBQUFBQm41UFA1dGdEZkd5UUNCYkVIZmtwZUNqZUg4dk11anZDZ2ppVjAycWdJbnNUTnV0M0dwOG50RkZKUmo3RDJ0cndWdmFiazRRNTMyNnVCemdKNmF5QVB4OGhCUVE9PQ== | Z0FBQUFBQm41UFA1ME8tby02ZnhETmZyTW1Hc2gxYjBVanQ2Uy1JZkx6QnRTVDNUZmloUjJ3S1pNZUFmOTAxUFFtSm4tWUl5NkZ3eE5RSmRLLWNGS3hTbmFqNW5seGtDOG1IRkc0WnBJNUlzemo4a3o5VkJKRFZGWTJYajNCLXVQTkFWYkpmYVRWLXE1cWR4MTFlX0xfdXZwbnJDWHRxbUl6OEluM0llMjF1OERoLWlnbElPSGJFZjNNb3dvYTlpMmp6RXhCN1dIeTVV |
Tutaj sprzedawca oszukał lub wprowadził w błąd, ale zawsze jest 2 lata rękojmii jakby co.
Osobiście omijam już wszystkie produkty asusa. | r/asus | comment | r/ASUS | 2025-03-27 | Z0FBQUFBQm41UFA1bXZvRzd3cXBOQURCMWZTc1kyMzdGQ2Q2eVc0VUp0aHdvc3JIbkRBdGZMb0EwSEdWeHlKU0lnOVMtb19oazNuYjVqcEVTWlprYTFVZ2pBZndtV3BuX1E9PQ== | Z0FBQUFBQm41UFA1UGpqWHRwcTFXQzRpdzlSTVF5N21aRDdQem9qaHZjQ0MzSkEzREIzb19tbTl5M1h1LW1pNjRVeFlTUmMtU19iWDFfaW9OVmVtNHo3ZnVkWUhIamdzMDBCQTA4N3JRdnVJZnpSNkVleUhXOEplZ2JQOGVueEM0YWdrMVpfQnFrdWZ6T1hHaV9aOXVPOHBrek5xRFFMVGt4WDR3b0NVdENiaDZkV3BCdmFNQy1tOWI4N2FfZExINXQzN1RiX1VWZWpGdzlySGFaRkx0eGRsLWZpRG53M2JUQT09 |
why is it impossible to try to prove a statement on N by being able to prove it for all n in N?
if not all Goodstein sequences converge to 0, then there must be a seed n that doesn’t converge. But you can prove that n must converge in Peano.
I think it might be because we assumed that Peano is complete? no counterexamples ≠ provable | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1dE9qcmFaVnZMdWtqbmladW1MRUUyNi1TSi1rbUxwV0JUWVZuYmhJOXZrcHB5LXZYZUNRNnprWkcyanFyUy14ZzZLM2dCaDNQSUV2bF9iWk1MTHBkSHFfTzcxQlg4dmpnU0lBZ216S09XWDA9 | Z0FBQUFBQm41UFA1akQ1ZTM5YWwzcVh3elBVQVY2ZmNHdjhzbWZIbDZzMWdhTV9wbm1NNDdxbGhZN190Tml5azNqc3hFZndweVFSZkRVbEtvNmluVWRPeDktWkJOMzlHY1BDSUd6QVBYX1RCWkVvSmp1QWxSbkNDeXl0dkNCbnB1WjhGZW5COXdLQlkwSEZFOUpDajRiSWs3Nk5BMGVrVUprRHY3eEt0YmdHVm1sMXRHdlF5MDAtaE1lUGhKdnlyLUd6bjFCQkxrMHF1VnFDMEZXUnNBTEpZMWVNeWowSTl1dz09 |
This is my 5th high e string breakage in around the last month and it always leaves a piece like this.
I have a brand new (bought february) squier affinity strat.
First string break occured when my friend was absolutely butchering my high e string playing fade to black solo.
Second occured a few weeks later. Third four days after, fourth and fifth immediately when bending a few times. Although I was scared and didn’t bend high e at all for a week or so… Now I did and ofcourse it immediately breaks.
I’ve played the guitar very actively since the start, but now it’s starting to fade. It’s a struggle to switch the string with vintage pickups and I feel scared even bending the B string. I spend little time playing and learning compared to what I do with my string problems…
Any similar experiences or advice regarding this will be appreciated | r/guitar | post | r/Guitar | 2025-03-27 | Z0FBQUFBQm41UFA1M1V1MWxFSTFtMFZ4Z1Zad0pSRnZ5SnRqaENod0hTNGFQRTZzNFN2anFjTkUxMXh3ZkhiTXFEZWEwcy1QRzV2WGVxR0tWMVY1QUtKb05VRFlBSTNCWFE9PQ== | Z0FBQUFBQm41UFA1ektlQk4ydXpsbkp1UFEzZzNpYkNqRGhtcUxFZW4yMjF6QkE0THl1UzhKY3dYd0Y4OWlTS3JsUUJFelBHckcwSTI1MGZNTXhHOTVqeVhUcUlJQV9uS0tYUUQ1ZWFBUnhSZGk1a1d4bDhuUG82MjJZR19qdWVSa0xxM3RJNkVXRTdPeUNnWlRuaWwyc0lNMDVjbUVNd0JUNTZUWTc3a1BaNnBvMzhyMElTYno3UkViMjRZUFZIcmdSYlhxcVItZ041YURtSi1wUENsclVTbmpROTg1bm5kQT09 |
Is the screen the same size? I can't find any screen protectors for the 2025 version. | r/asus | comment | r/ASUS | 2025-03-27 | Z0FBQUFBQm41UFA1eUIwb3lhUlZaZW5fNVBveE1LSHJWNkxDM05iR3hNYXU1TjkxUUdxOVJoMUFBbG96ZUNmNWdTcjJ1S3MwYjZHVE44WHpzOTJacmVWQUJvYUgyMEVPQ3c9PQ== | Z0FBQUFBQm41UFA1OG5KcUUxMGxSdngzZTVnZ1R4dVlObmJESDVIalUyYW1tVU9NbUZBN09hVlVRT3BOZGFrV0g4MHRNLVo3MVpWMkYtcVN4MGgzbzd4UVlScnJDTk1wckY0VnJMZ3gzSW11cDNJREpvSzBLS2RNT3Q5TVc4UmVWSEd5R1JtSENmcmdfUG96VzMtc2paUEVLNHA2U2NWbXJjRllPTWZSQ3B4LUtiQTI3clNSUTVKSXF6MUVSbzU2bWdDekNINVhOOXJD |
Riemann's explicit formula. I stg I basically nutted when I saw a gif of it. Seeing a function generate anything remotely related to the primes in such a way is honestly amazing | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1S3NTcGpHSDNYc3ZaaFcwbmNDRmJzMlRaWGc5cG1HeDJQMWF1VE1qekZQSWpoZ0QxQThSV3pnbmxMcWVrcldYbHdMTnIwSm4tS0tHNC1GYS1HN2lXSFE9PQ== | Z0FBQUFBQm41UFA1Z1ozTE11ZmMyUl9VY0ltbnphdGJiR3BJWkdlem4tTXdteWQwTkFyQUdnX0RlTWpSYUJNMlI1NVE1dzRpY2RQd2Q2MV83bTdUZi1hMzlRU2RVOHdvYUp5NklqZVQtbFhMdHBXLVh2VkF2TlFkN2RmVFlGUWlrYWZlekQ2Q1J5X3RNOHB3YjBWVm1TNFZSOHJSSDVMU1VYUW9fQlBJNDJpMnM4NzB3Mzl3VTM3eGRPckdubEhpbE1UZmdyeHp0RUlJNXZ0LWN2ZmNUcTN0RjREaUIyWEJ6dz09 |
How do you revise new concepts for maths? Even at a high level. I find that doing maths is fun, but learning new concepts is terrible right now and I just can’t really get a grasp on certain concepts. Especially if they require some previous fundamental knowledge that isn’t explained. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1Z25FNXdsZ0h6YzdpVE1NNTBpRTF6Q281S09WeVROQmdTdVBCSmlTS1BONXJnYWRod2FTYWtmdXdMQk9LczRTUUQ1S2VEM0xsMVg1MnQ4TjNJOFBBZVE9PQ== | Z0FBQUFBQm41UFA1X0l3TVJudlZaVUQ0dGg2Mk1VdmRXdmpVa09pdXpfalhqSjNKVmtyM1NYdkxiOFJLTy1LSzhOQmtXa19qdW5ab05SWWRIRHZhMFNNZjdxMndvVTNhRmdRU043YzNiY1FxbHFVSXZ3aWVIdjA3bzgycGJxbjYtWEM2Mm10emN5SU45UDRpQVBPdUJlT19XOVBQYzN0d245MXYtU3IwTW9EU1F1NWpmcW5DM0hjQTdvXy1TWFJFbmVzMnF3aXp5NzVF |
Definition of a group | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1NEtWN1lJQTVNQVZqYVpfLWpNTHpBeVJVbFdtTlpDcDZabEpQdmp6OE03MkJSU2p0cGtnRFVjem16c29rR3pCTjl2RzBaRWFVVUtibGo4bjhRb3lITy1DWVJFWFBrU2xqdi14OWliWk5nN0k9 | Z0FBQUFBQm41UFA1QWJ3OS1VUlZuY3B6dzROLXc1WlRVS0hra2IxUnAtY2tIeGdoajdkMFNSd3U1TGdJRHJtZVRFbnQ1SWUwRnhkb3k0OXNicDBwTlExOFdmb0dSbWpWaU8zV0g2bXk5NEhOOGJWbTBNXzgtRmdhMHZIbmVGNU02alZJcXhqaWw0T0JMOTQxcVRPYVpQbUJfdkFZdDZKTzZmdUhlZEZ6U3hhUlBIeDgxM2RnZlp5RTZhUnk0Vlk2eEZURTFLUE91cDZMMnJwVzFJdHFSRzhjUUIyVzBXMkIzZz09 |
Hi there! This is a friendly reminder to change your flair to **Support - SOLVED!** after your issue has been resolved. It is an immense help for those that may come across your same problem in the future so that they can quickly find the right solution. Thank you!
*I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/ASUS) if you have any questions or concerns.* | r/asus | comment | r/ASUS | 2025-03-27 | Z0FBQUFBQm41UFA1cm9lclBiMW41T1dwbUhpUFRManBNbUsxY1N0UFJUaW5JTHoxX2JVVG83Q1FuTmxyWEhLLVZBYlQtNnkwSFJlV2tmLUtRQllzSFF4RzIxV1h6a2dCa3c9PQ== | Z0FBQUFBQm41UFA1azlQNnE4MVFlWEhheXlzdkFCWEZZbFlvUjlDUWhEOUhVRVRZSW1UV2xJS1F0bDdENDVWemNnd1hlaEJqUmxBOXZTMjA4NElKbmg1NXJ5UjRDVk9ULWNIZnpkR0dBZ193a3BYaXdFa3ZxRXFpdEl4TXdqczh6Wmd5Rm14VGVVWDJ2T0dsVDladnNjdWl5SXBIb0R6a1hDMGUxRU9LNXVhVF9zNUNmTkRWWnJEc2hOQklHRmFadS1VR1VGYXV3WGxu |
But what's really beautiful is the topological definition of continuity: A function is continuous if the pre-image of every open set is open. It's really a perfect example for abstraction. For real functions it's exactly the same as the usual epsilon-delta definition, but it works for *any* map f:X->Y between arbitrary topological spaces X and Y. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1VXpxT1gtOFN5UXZyWEoyZWVORzBXSkJwYUlIdnFua1NWa2RGVFQ0NUFqWVlWS3Z5Vk05b0djR2lzVnFmeE5UdlA3bFpQUm5wcUd4T3A0ZXFmcUdLN2c9PQ== | Z0FBQUFBQm41UFA1Nk83aHhUaHQxSnFrWmhFeTNDcEEydHR4MjFSU2FuMzMzZDZSdUZDRDhlcmhwbXU3bmVPVTJXTDhJUWdId2lNQ1JnckZvb3dPMktIaHR4aFJFNF9zZC1xa1VNMjFIOGxUd1BHQ3c0a1Q3bmRmVEl4eEtDUkY0RDhEWGgyTDBHS1Nrcm5JdWEwZEhyZFk0THJfb00wM1ZvRm94RWxtN0dWeGhHN3hmSjJYNUJSblJlMkFtZFFXNjUtZmNXSnJ1WFVwSnVnRHVIcXMxaEZHYVVCdGtyN0pfdz09 |
Should I just put some wood glue on it? | r/guitar | post | r/Guitar | 2025-03-27 | Z0FBQUFBQm41UFA1MjJMTVJ0RkM3LUNLV0tIeGUxVWxaWjFXSXV1bGxVbUdpYzhYTHl1cGNxVkYwSFhpeVljUDhxUW1ZQWJLcExQNzFUalQwUzRzbThrRmpoYUUwRDRYRURQWWR1WVU2WUJfR09OcW5EaVRISms9 | Z0FBQUFBQm41UFA1My1jRTBKdGtDYXZVMkEzNk9mVzZNUkNQV0NJQmhtdkZvZ0h3NmZmRkZhMlBVQUItNnVhZkJCZ25uNXlmT3hLaHFleUpucTBZS1ptY3ZYMmExNlUtUE9iY1gtQkE5bjlnd0R1a3BYNURVcV9fV0lETmV5aG96Qk5Db1hPRml5bzZ4Zm9DbTZyWTM2dm9qRjlBRl9RM05FN1lhUU1XanFGZFdvX1V1UFhaTzlyUUhtVzA2cEt0R1RBYXFLNE02d2lU |
Recently, I learned the the Hausdorff content and the Hausdorff measure can both be used to define the Hausdorff dimension in the exact same way. I thought that was really cool. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1SnJaRXNkOGQyVDhoVExpckd3bFhPSzN3cUJZUFhWTTJvMkY0bVk0NGNkVGFjTHpyVFl5bTlvaUtYSVB1Y2lkSGpsYUJMZmpFWTZ3QnZlbUJEWDFyMnBaekhPb2U4al9ZcnpUMU1yVkkxTnM9 | Z0FBQUFBQm41UFA1Rkc5M3JIcHhMcFpGeFlqenhTU0liaGVqQUlaOFRQS0dnUExMZ2p6bXRaRF9DQ2wyMXhySm04LTF6c3UxM3RRbU5jOXZwTmR4Q1J6WV9LbzF4cG83djIwZjRKS29paU5HOUhWT2U3SF96Y0NxU1ZmdndlVE4wUmViTl81WTkyTjVrMUFBM3YtMHdPczRaM09waWF0bkQtQnRjTEVRVDdNbUJMcGFTMkFHSllmLTE0a25RVi1JZTFodG85c0JqcTA3SEQxbUo3QzI0M1BLaS1CdmdHcmNjUT09 |
It's been ages since I've studied this so some details may be incorrect.
If you study algebraic topology you see that you can develop general cohomologies associated with topological spaces of which there are many kinds - simplicial cohomologies, cellular cohomologies and notably de Rham Cohomologies.
de Rham cohomologies are those where d^2 = 0 where the exterior derivative is d which is another way of saying that those where exact forms are closed (which corresponds exactly to those cohomologies yielded on a smooth manifold - now that I think about it I think the latter might be the definition and the former the consequence rather than the other way around, it's been a while).
General cohomologies also have a 'cup product' which in de Rham cohomologies induces the wedge product (more on that in a bit).
Anyway another fundamental cohomology is the singular cohomology (which is the dual of the singular *homology* which basically counts the number of n-dimensional holes in your topological space for each dimension n - this is more or less the first homology a student will learn in an alg. top. class) and comes equipped with its own cup product.
de Rham's theorem essentially is an isomorphism between the de Rham Cohomology to this singular cohomology, and the elements of the singular cohomology that a differential form in the de Rham cohomology gets mapped to is the integral of said form. That is just Stokes' theorem! | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1dFNWa2FSTGVBS2FBNnBNTjNwLWlOYmVjYkozYk9QaXc2OXU5elBfeFgyZ2F0aDZuT052MDJ4TWlZamV6bnVSS2NqVkpLakZTU2RrS0VHazIyVWpfQU43THJrWktmSmZRVEZOU1ZZUVdmeUE9 | Z0FBQUFBQm41UFA1OXdqalo0U1pLVGh3NjlOTkUtLWRvZnhsenVycGY3MTNjMHZMM01GdFZQZmozZS1ycUlvT2VseGxtblZObkxtd2F1Q1NhTXFEVkE4Tkk1dEp6VUlabzBNYTVaU0dzTzR6OGVjdTRfbHVIMjE0RldLRHdnUzZwQUZmcHVTU2lPcUYxMk9RMG9faThsQVQzbEdoaDJKMUlieDVfU2NyQUkxekdrcmRocGhEcms1ZjlwdExZWWNvWFpjbkEyU2J3SlFOSGx6X201SHVxWEkyUllEWGVVcmZyUT09 |
About 3 weeks ago my iPhone was stolen in Mexico. I’m fairly certain that the thief saw me put in my phones passcode as they were able to turn off find my iPhone before I could lock the device.
All photos and contacts were synced to my iCloud and not stored on the device so i’m hopeful those files were removed once they removed the device from my apple account. They did try to access my banking info but were unsuccessful. Since getting a new phone, ive logged out all devices from my accounts, changed all passwords and added additional security measures.
The best outcome would of course be that they simply factory reset the phone and sold it, however my greatest concern are that sensitive photos of my partner and I will be used for extortion.
Given that a decent amount of time has passed, does it seem more likely that the phone was just wiped and resold? | r/scams | post | r/Scams | 2025-03-27 | Z0FBQUFBQm41UFA1LTBmTHZjUGdnSWx4NWk1cFh0UFpTMWIxNS1ReEZZTENIREVYa0hWa3VuSzJPUF9Ddjdxc3B2NjRnNnNXWFpQYUJURjNrSmFCWmdQaG8yVl9kUEx3RkE9PQ== | Z0FBQUFBQm41UFA1eWRxS0F4REVGdXBRSFl1aUo4RjVzWE1fS1lvUVg4TmJJREZNOUx0eFlDU3IxcGtRYXZrUGNhUHRPRXZudWpGc1d6UVVFV25kZjRtYnNlb1lmQUMyeG90Z2VhTG91bnE1S3Fob2t1TW1YbUZTSHlRTWtpOGF1azJnUmNROE9KTU9VR1UtaTc5ZzE0WVhFSDJwZ0Z5X29INDFjUUg3UXgtcU9CU1RpWGJzZ0VhVzZlbjNMbk1oQVI5SDN3eWx4aHpr |
I do a bit, but more into analysis stuff. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1blVCTFBBZHoyMGktcDFhenFuRXFjN2VvV1BOem5wYUVYZlNfdk5PcW9tNHpRVml2SFphQ3hmNEtmNHhCM1lvbzNPVGRUNFNUNTJSZ2NtMmZYMm8xZFBCdFVDUFlKYTlGTGVKTy1Xb2QtQXc9 | Z0FBQUFBQm41UFA1VlE3emY1ZUtfYjNQZUQ3RTRSblRONGdnaDVOZG0yOGx1cVBKRXI4NTlrd21UdmdUdFFndENjVU81eWZmdmNSRXVnc2hIdmEyUWkxcm9oSmtDTU9fblp6NTRjZVc5M0liSEY5NldQMHhZNnRPZnV1UzFPekZJak8ybU8tZENJZlNoQjRwWUVqSjlIaU0yci1oS3VEV3BObU41V3pkVElKY3FHeWhDUzYxUW55QnZJUXZvSm9lRm1ETDg0d1VyZEU5b2NPdkNMenZDM0NoeVlpb295YW93dz09 |
Probably not what you’re looking for but I have worked through James K Strayers “Elementary number theory” cover to cover and have learned so much with it. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1ZzU1Q1RHSUdnMUR6Uk90TUNsQVR4eFdFQTZ0Zk1ubTU1OFBsRkpSSXBiM2lJdnc5ekR3OEdYQWtobW1DR0xXTDlyZFVSX0RWUk80bFdTbGZUNjRyY3c9PQ== | Z0FBQUFBQm41UFA1RHJNQVUtcU53eUQ0bWJONEFnaVNYSHhrMFJJZ1FrekVuOUNIdl82cUduRzVFVFkyR0RNVGlFWlJJOUVuLWlUOHkyV1UxcXdYenlvTDdQdUJqa2VhSzZ6N29GTTdjTUlJbnJiQXhkRTVEbVhldU9HUEMyM0NRRDVwckRkamR3TGh5c0pIYmM3ZmdGWGtVQVNudi1qeTAwWlpVRXJBemh2NlBFZ3BVWG05eHlYdm1EaVdJNmdBR2RyM3lzbGNwXzFNd1VLd2N0R09JbzZHbV9XVFdKTXdPQT09 |
Setup firmware updates to occur in the middle of the night. Hardwire Ethernet between all mesh nodes. | r/asus | comment | r/ASUS | 2025-03-27 | Z0FBQUFBQm41UFA1cm8xaXM5eF9UWm9VaTVLQ0ZaN2ZCOXB3aXBhb01DazB2RWlYTndub05nOFlaSmk5VmN4NXBoVldmbmZ2MkRsUlROckViaE42d3dMMUJueFlTSUdEUHc9PQ== | Z0FBQUFBQm41UFA1TFNJVGstd3NGbkJidWlZblBoRVJFdzhxdTNtcVhUdEo1YW5hdzRoUXJ4WHFrNVpDM0lDYkNXZTVMcXNWc256TFQ4NzQyNUFGT1pOaXo0RzVDUVhnNkhLWnFOdE1Eck1RQ2FmMWVoVjJ3LXl4MFFfMmk5UzdxWHFCT1pEM3YzQXFkdnNaOFhMMTdHOXhoVW9oMDZCZExqMDlrY1p3M0IzZVp5enRLcGJBd0tCdWhfY0xJemJqVWJ4T1htb3lZeEtkQ0IzVXliRkwxLUQ5eVVhTVJTTzRJdz09 |
I guess maybe beautiful result more on the algebra side, more algebraic topology, the fundamental group functor is essentially surjective. That is, give me a group, I can find a topological space whose fundamental group is that group. Idea if that a wedge sum of circles has fundamental group which is the free group on k generators, where I’m wedge summing k circles (k can be any cardinality). Then since I can get any group as the quotient group of a free group, all I gotta do is glue disc along the boundary to whichever loop on my wedge sum of circle is associated to a word I want to set as identity. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1LU9OTDQwWmVmYnVYQnM1Y01sVVl5MTlnbjJidU02aXFmaEswV3V2VVFldXJiWTJhSnVLTTFRT3BrVVhRSlk0U19IZ3I5V2ZBRWpIR0x4RmFQWVRhSXl6aDVzYy1Qd3FVVzlsSGwtaXJaYm89 | Z0FBQUFBQm41UFA1UXJhUFFLaWpQSUJZTFotZExZazlucGtTaW1wMFF4c1VIRjY5RHRmdWwwUGF2SVlTT09CWGROejRwUVhhQzN4QWRUYm9pbE5UZXU1RURtZ3BwVWkyUGhnVmppaWJMREJkNU5PN0pOSzgzWDlPcElTZF9RTldpYnE4YzVPM0h6NUNNYnlaV0pTaUhrZG9YZXVUenVjQmNRUmRfYXdFZGdoT25lMFY4czYxRmQ0R3V0bmVpZHBuTmdRMWlwY1QxWDduM3VhYmtsU3VSUzJUb2Y4VDIxS0ZGdz09 |
I just restrung, put new bridge pins in and cleaned my grandpas old guitar. It’s in tune, but the e pin is waving to me. Is this gonna be a problem later? | r/guitar | post | r/Guitar | 2025-03-27 | Z0FBQUFBQm41UFA1REktRU9ienpnVXY1QWdJdEVhUEd6YU54OWJvdEFlZUFVak85MktHb2pLazUzYWdVSDlvQnk5dHdOem5ILTQ0b1RXODcxUFFRVFZMa1NRanc1MTZ3akE9PQ== | Z0FBQUFBQm41UFA1RHVHaDg5S2FTcjJUUGhZaDBoMEZoaXhYZGI1U2FMeFdhLWtZLWtxZDcybUREMW5RYmJSTTFOQ3cwVU1hWG1mSVBxSEF3SlpfS1JQSW1fOE5Nc0M0RHVscnBscmFjbmp2MHRxeS11QUhzUU51UnRfNUQtNFVyYkZRZEM3cFVLZ3hjU0MtaFRSV2FkNklMS0NQQVVWeDdJSFhPUE1ySjBVRjVvdldRV2ZNaDJRPQ== |
It's kind of crazy when you think about it, because if you approach it with the desire for completeness and precision that a mathematician wants, you will take *ages* to get a complete and accurate theory of calculus. (I'm not saying you need one - engineers clearly don't, but the average mathematician will *want* one).
We dunk on engineers and phycisists for making silly calculus assumptions and treating dy/dx as a fraction or whatever, but at the same time you can't really reconcile everything as a mathematician either, *unless* you get to forms - which most mathematicians won't do before they specialize.
As an example, in terms of differential forms, a change of variables (which we use in pretty much high school calc 1) is reflected in the fact that a diffeomorphism between two manifolds preserves the differential forms (its algebraic structure and wedge product) associated with them via the pullback.
If you don't use differential forms, correct me if I'm wrong, you can't fully (in the mathematical sense) explain change of variables. And you'll have to do some stuff like u = x^2 => du = 2xdx right after we make fun of engineers for treating dx and du like they mean something (without forms I mean).
Idk if I'm rambling here, and I could be incorrect - possibly there's a less complicated treatment of calculus which technically doesn't need forms, but the 'standard' calculus goes bizarrely deep once you get into it. Compare that with idk linear algebra which is sits all pretty and basically fully solved from day one. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1dDJZODRQWkp6OV85U0xqYTRNV3J6LVRKQzJtOVJZOXBUamRpQVg5TV9yVHZsa19objJXSWNhQXUzUFVsVEdNR0diNEtHYkJOZzFEODd4cFdhOUtmaElyRG0tbTIzUVBIQjlVZTM0NEZnNDQ9 | Z0FBQUFBQm41UFA1N2xSbmQ2SldfZzZZRkZ1ZzdmWm13Q2tMWFZwcnFYNEhJY1pSd1JkNHNxOEdKcGxaM1JxcEtUX013UGJWbnQxX1cwelQ4blJCWGpkMUlabjRZYzl5ZGlITHhudHEyM09SNWMwaXZ1N1Nma0xScE0xdUMwLWlreVNRcnVqMm1xcVFlZkxWUnprXzRRQ2s3SUtFQlpDejdyaGFCRnhiMktVRXFucFdienZOYS1vcnZBb1FGOEhfV1Y3aXBqa3FEa3NPRmlqT2hoS1BOd3RaYjlGS3luaThvUT09 |
may you elaborate on the second part? :) | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1STc3VkhQMThZak5uNTJKdzV1TVVrcHJpcXpOQjRROHZWaEZEd2lOVFVNM2hpYXBGcUxtS01wM1BUUnF1SmVDYWhaM25LVmRkYjl2UERaZUZvMHV1UHc9PQ== | Z0FBQUFBQm41UFA1Xzh2YzQ2WlB6aFFvMkFOM2JLSXgzSEFsZ2o1aHBSSEdNdkF4VUo1NnJoN0NNWkMySzRpR2NVN3FLTFlsY3pJRlpCMlhGdm5fVHp2Y2M5cjR3cU5JeW52M3VzcVRVOHFTYlEwTUx5bUI2dEVGQWlmb25Vbzl6U0FYbFl1SkY3eDhHaWMtQklTZEljTDViejFCcVVFV095d0l3dWp3SFlEbzRSTzhkb2dvZzVZb3BNSVhiVkV3b1M2Y0FGZDZlSHdWNUlBRlRxdFlreks4TW5YMFFDd3dpZz09 |
Can anyone advise me the best quality guitar kit to build my dream guitar. I’ve never built a guitar. | r/guitar | post | r/Guitar | 2025-03-27 | Z0FBQUFBQm41UFA1dG5qa3R3RjN1bGczamdkbjdxc0pLU1FnS3NzTW9hQ0ZJdmt4aWFCalhlODhCbjlxQ2lDbWp6Q0k1TGhKZHFLNm8zWTF5eldQb04yREFhTU4xbFdDN1E9PQ== | Z0FBQUFBQm41UFA1ck1RY1lQdDQtemowUW9Vd2puUEgzNXM3Q0dxTEg1NzFGT2VuaTNrR2pFZmlVNE14NFNza3RtYWp2Z0hfTzM4U3FFZ1loTkpLdXZkbHlpMk96NzZMb3Z3RTFpb091RDFpNllrdzZOWlNWWjYyckNGZHFNV29oWl9qUkRaLThraUl3STNOOHhyUl9ocUxIdFNRWTBiQ1hDWFBZNjRCNmp1NVd3eHZoVVhwa2prPQ== |
Same | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1MWZMSXAxVFBOdEZuby1fekxaR3MtaGFWMU1Fc2d0SkNWWGhhZjZ2ME5rN2JsT0dtVUxaY1ZOc2UyVWhWYVNrVEtYYnlmLUV6WmNMZzlldVoyRE5NNnc9PQ== | Z0FBQUFBQm41UFA1TUxqUlNpRXFLT0NObnBRanJUMFdTWHFndlFvNGdiYjJxS3VhRGVzQVFQZ21EY1EzMDE1RjBGZnpoYWpmUUhTcFhFMWFzRzZJSTBodkM1Uk1FQjRIbVBaclBfd1l4UHdnYzMwU3M2UWdBajdpdWRRenRINU5ueGdmRUxoRjB5UGZUZndhSE5WNDRJanJMaWNGNHpOYmtQQ3dWLWhsUlVNMHZPNm1hUzFSSWVsSzZ0UXRMdE5DS194Um1JS2ZFUWtY |
Tbf for model theory the connection to the topological definition is weird and not something you would usually enounter, I do love that connection though. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1eGRBNlRNNDZETldyVERFZC1rb0ZoUlBka3M5Yzd5aDNLckxybDAtcXFnc2hXZmdaRUptZWl1emdnSHJjSnVLT18tTUxqZHhuMUg1bHlxbE1oUFNKNkE9PQ== | Z0FBQUFBQm41UFA1ekdxcE1SekVrSmJoVVBmZHhENWRBVG1MeENqZml4V1E4YTRONWtReXRNLUIwRTFweFZHZkE5TWYwMjk3M1hNYkhWLUZGdXdDcS1iUjZGZGRsUTdHNUxHdXNxbDFrSUpBQUNTN1dfeno2d1FXTWNwaTZabU9fc3pVY0MzdXNwS3NwcjlvTFdtUVBQNkJtTzFyQV9YVWdTSGdtbkZrZHRRek5sRUhwZ2o1WlRNUWhibUdFSFJrVm53d1hVS05WZE9UNy1VNlB4UEpxc291S3ZwV0s4ZzFEUT09 |
The space spanned by any two vectors in 3-space is a subspace.
So addition and multiplication needs to be defined since otherwise you can't talk about a span but you don't need any variables explicitly.
You can however always choose to view that set as a solution to some equations. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1MkVRNWJ1bjdiMGMtSzVlWG0xVEJEd09pYTJzZmRmUlJHTnpJTUY2bkYxdmpTandWTVhhaTBFd2dZUWxtTmlrVDFaRncwbzdlOU04SExacklSbVRwMGhfeHMteUtSUEFvaVdVS2l3YjdKZ009 | Z0FBQUFBQm41UFA1bjcyd2hTNUtoYXdNdzhPVmNxTXl6UTh0eE1zbDQza2d5elo3N2JKNVpiWGpGNWdjLWJ1V3FhcWM2UkEwaFZvSERLTC1RV2lpVUdzVU53Q1h2TldyRVlFdDgzSnFUaEhKOS05ZGdJTE5CeVBhRzlNSy10RWZEXzNZS3ZyTFljU25NRE5wanpDT1pwZTdhMmJRZ1AyN2FqT3RpWVo3YWM1THFoamxaU2xVbFJOU3Q5VVE2bVFOYmNjV3VjdHlQenJyTl9OUFdILUlBNWhxajRVTlU5bVhHdz09 |
Im just messing around and really like the sounds but im not sure if it can be considered music or noodling lol | r/guitar | post | r/Guitar | 2025-03-27 | Z0FBQUFBQm41UFA1QjJnUlprYnMzVGhXalBJVjgzc1R5VUIyU1JFRHc5bXFLQlBjc2dtYUxEeG5PV2VwYXY0Z0Q3djl3cFF0emJZdTZBNlhocXU3WndEakJBZHVHRHI3MHVYWUtlbW1LY0gyc0NzS3lObExZcTA9 | Z0FBQUFBQm41UFA1RUxZRUxSSTVObGVsa21BZUZGdU9qUGlNSXhXUFh4bGJDM0JTSzRnREo1MlJOYUNuc2VmWGxtT19mU0l5NHZaZWItX1dseTRjenpiWm9EWjAxa1BPNUgxaXNXZ0VFZmx5eWNSV19VRktBSzI0cTNpVms5S3F2WF9iVUVJMmZyMWJhZ3pLUnpJLWhzRmZ0enE2VzVZS19jQmdnYklOeElQX1RHMFhmYTdRMWZnPQ== |
Im getting my first guitar soon, and I've been informed ill have to restring it eventually. Oh no.
I'm hoping to juice out every second of practice I can from the stock strings before I, dreadfully, have to replace them, any tips for keeping them in check? | r/guitar | post | r/Guitar | 2025-03-27 | Z0FBQUFBQm41UFA1c0hiV1JZTGdZSVZONHZzdHJNWTBjZkhzYU1EYmt5a2ZPN1VROVJ4eUpsOTc3c0dzQzhzMXNYekw3ZlM0YS16ay12b3FiWHZiUnZ3dV9DUVQ4X1dXaGc9PQ== | Z0FBQUFBQm41UFA1T2kyMkl1bEVraU9zNkZVUjR2Q1FaNzFiM25HMDVWZS1rZVlvb2Vtd0RsaUh6QVRxakVKU0N2VlBSNU5pWkhWQmkzaTQwXzBqcFJMdTJxYnQtRERNdGFPbmF2SUNPbUtlS1FtaFRrbWlEd2xuM051VGFQUHZMZVBNU1ZfZF9xN203WDF0dUFPamprTXlhSWNENFEwamQ4bGlDdEEtemtBY3FZQjV6TndrYU44PQ== |
I know it’s not your main point but I remember that pre season game with karius so vividly can’t even remember who we were playing maybe Preston or something but he was fucking shocking and one of their goal scorers was laughing after one of his mistakes iirc
We needed to take him out of the firing line his head was permanently gone. | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1MHAzNU1UallMaTNfTjJOcGNGbUI3ZlhIanVXOHdTNXVkaTlZamlHeFQwMl9XUDNkRTJfdUd6N0REMTlJenhMRTlRVFhyODZvQ0c2YmpadkZJVnhPMFE9PQ== | Z0FBQUFBQm41UFA1ZlhiUzg4N29ncV90NGYzTHBfR1FuN0pvamJJWl9Vd2oxVnNVa1JNX29uYW1pMWF4Z1BQa0daekhOaFhzY0RqSHByOEhpTnRtTHJaZGdpeWlrb0NoalB4OV9hLVdNUnNqTHFTcDRFQmZMcU5ROUtpdXA0RmVzVERROXd2ZjEzMzMweHpaZVVEYlc3c003TjBLdkxvNVdwcW9wRnNHRkc4RWo1OWVQenNiWVAyOXZWQjlsaTdrMlR6aHdnUlNEdXhR |
Stop talking gibberish about me. | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1VnBlSHMwWE9DT0dPc1Y1aEhkbFhSNVVTMDN4ekFHaTVMZThHQjhTUGZGVkg3a2tqOUlNdl9JZEY5ZVd1T3BCZ2IzYVozNk56OTVLa0xwZmRQZzl3cVE9PQ== | Z0FBQUFBQm41UFA1VVFyYzhualNrTlgwN1IyRDVwcjVfZkFOZEhxMGhlTWF0YjJDd2k5c0lrcmhDVHpZVXZjN2VRUHFoOVFDUjZHQ1BqSEVkeG0wNzh4OTk0TWxOVUxKTGxFcnozZ1VkMUFZdWFid3RNajZlUDZRNG90c09WYjNlOEtyVVFwV1VxQ1JnWjk5MC1KSFRCUW5KdzFwLUJ1SE52SjJFTmVHX1o5M0F0bFBFaldMQXREQVZsUGJMNXd6eVVpX2RhT3lTSW1feVh4QmVsbUxqZUo0RGJHaTV5WWlMQT09 |
What are you talking about? | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1eFFqWFJ3ODJ6YXlOcjBFTnRtb0ZDXzlBOXFvWmdFNlVFS1VpMTNDa3JNNC1ZeWhJZHJneTB5b3JPY3dLdGs3MWIwSDVwbEt2X255ZHM5LVNLRnltb2c9PQ== | Z0FBQUFBQm41UFA1Znd5N2FZN2xzX2JEc2d1TWxJeUlaYUU2SWs1X0plcHJNWm5pRDhRTzBQSXZ5aE9QVXF0RGUweGdZdFRwcTBKR2VublZqazZRODhVcXoxbm9XN2VGNVpNb2g2alNLUG5DMTM4TjRZZE5hbHAyOGFERlloZkFhdGRuTlNQclpkbnkxa0FfUF8xcmZEdUVlNXFZdEsxU0ZMTklvYXhzRlJ1X2xYMzlwYXZKR19HRTBMcUtsY29iWGh5Y0RPWHhPZGs1 |
It was really a default decision. He was made "4th captain' a long while back and just got promoted as others left.
If I remember right the 4th captain thing was something players chose, presumably more as a way to encourage Trent as a leader than because he already was one. | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1V190VEVQTzhiMHg5d2V1TDFRazhBanFoMk1JRUZMNWFvMDdYUVl5ZTBsOEFqQXZTTTN6TFNXSjVrMEkxYkx0UmdYZmFHRm5zUEdsOE9RdENSV3l4NFE9PQ== | Z0FBQUFBQm41UFA1b0ZEcEdYTGpORF9PcGJmZHJkdlQzcTdrUTVneEFob0lVbEtRaFZ1OUpUbEpQanphZ05CRUIxYmNiTG5pV29RYXNCbEp3OS1HRjJaQzhGRTZqdVBZbVZmdDhpRnhfZVJraEVzLXFlcDhmR1ZWa3ZKYnBGM3pyWm54N1FmR2ZQV1JsQXdDMGpZUkVTU3Qta3l2RHVMVzRfRTduSWhtN3ZBOG52TV85R0ZaaXZxQkpzTE9JekF0c2dHaWdqU2JoMWRBWERyTlBGb1ZzdUtkSUYxbmppcGRSQT09 |
hola tengo la solucion :) | r/asus | comment | r/ASUS | 2025-03-27 | Z0FBQUFBQm41UFA1MmtlZ3otTlpTLUpZVklEUVF3RnNGR241ZUV5MWxHZmJRZDNTTmRkT203QkRuTW1wU2N5Si0zRDlodVlVdkxLUGZFYzdhVXhIMGVWX3pId2RrQkdtd1diVnlYQjk2UzhYUUwydXdfSFZhS1E9 | Z0FBQUFBQm41UFA1SnJfQkI2U3k4aVVzR0tNbjF3UEdfOUtXNTN4cXVUcUdCY1JTNG1JTXVXM3ZRSlRMU2FnM09heHJBWU5HYmxwS3Rpbkc5S2ZacVdmMldyRGtYcG9vOFh5THFIT2NOMWdsSVhzQjNkcWRDbHRQaWoyZDlNZEtXNVREdHd0ME1TclRrLVlNcWhJZ2swRm90UjBDNXEyaEstMkNIQVZ1ZVJCWG5tVDBJUnVUNDRJZ1VUQWdidWUtX1A3X2NscTN4THdfcEduaGpfWVJLSDhCMExYZmpPZkdiZz09 |
BALLER | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1VGZhMDNOSFk3TjVLenVjWGlNdkJxMFQ5ZUR2c1Q4SV9RRzRLOFNmb1AzbkcxMkxHZE9qMTVuWTA4NENBeER0ZmJWNlZabmRJZ25oSnRoYmprRDJkYlE9PQ== | Z0FBQUFBQm41UFA1SjVEN1V3aGpvY3NDSU9fU3ZUSU54Y2R4RmM4YzdwWEMtS1RyWUNEZWxscURhVFB0SWFsSmtEUUZZbHV3eUNNMFZ1OUpOeW54cDE1TUsxQ0FVVkJBMW9pQk1rWFdPNjQtbkt0eDF3RUVxaGZXTGV2VTRsb05kQ1ZpZk85V1BRSmVDQ3hKUnFDUkR3bkV0RzZLT2QwTUN1ZUtnODViaTJxY003azZKb1VZQjdITGRsQjNXdHpNT0d4ZFFMdmlMSFZG |
I miss comedies like *The Watch* so much. Just a dumb, fun ride that makes you laugh and cheer. Stiller, Vaughn, Hill, and Ayoade knock it out of the park with their chemistry. This film deserved a sequel more than 95% of modern comedies. How is it that *Vacation Friends* got a sequel but not this? | r/moviesuggestions | post | r/MovieSuggestions | 2025-03-27 | Z0FBQUFBQm41UFA1Rklmczd4RTBQMUdyZ1V2M0o2ZWs1VDdKb1hmOW9WdDJGVmo3bGEySkEzckdYWHpmaVRRaktaTWJkQXk3amR3ZUdONXZ2N29PWVVLWGxRRmNEVUR1emhHbG11TGpwSXVlLVhLVnluQktObmM9 | Z0FBQUFBQm41UFA1R1FKa25uNk44eUt6ZU5aNVBTclpubXRNMnlkNUg2STgtMGFfYWpHOENQRS0yYjJfeENiclR2cWZCbFctWVplazV1SEVVdzFUamdsZHBSUzROdHZWUXl4U2tVZWNGNU1IdkJ0QjZPeHRNRUctM1NtMEtJN29OX0l4RkU0SC1qR25aeXozdjhMUFE4SmdTX0hhSVAydGNQbGVxVEtURkRoZDhNY0hYTnBzU19OS2VVdHBEWUJMQmd1UFU0ZkZ6OEJpZW53QTA3SjZ2ODFCTEpuRmdheGo3Zz09 |
Yeah it would probably only work if all 5 top European leagues agreed to install salary caps. | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1ZTVPTzNpSF9UeTFzNWtmVUd4cEpqT0R1ajZ5VFdNek5xNGF6ckUtRmtBSTdxUVYtRWVsWk9HalpObURjVEZ1V2R3cTFsYU9fNlZDRHFMSXhQT08yVWc9PQ== | Z0FBQUFBQm41UFA1VHFUQzhid0p0Z1dtbHd4cnhvY2xmT2o3M29BM1hUSG9NU0pfUnlLX2lpQ182aGtodVFleERybVBsNl9YdGxiSThmcktLdTFkdVdTWkQ5ME44Z3l1cEo5SldxSG00YXI3VmVseTcwWlVVdGFmZVNsdHVqQ3lDSTVHdU9MTzIzMkJnN3piaWdNck5YSDRXbEJGa3BYaVlLbWRQMWpRbnZHbmFLam56RGJwZjZlSmNNWGVQM3g1cFNMV0tZaC1ZdEFWZDdaZGdia0VHQXoxeUIyOW9uWjBCdz09 |
So most people don’t realize that Trent’s bubble will burst harder than Coutinho’s. We gave him everything on a silver platter and pat him on the back when he made mistakes, while Madrid toxic fans will crucify him on the 3rd game… | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1WUJOaGZYaHBULUtNOWl0OHdQcWlPMHJEZFh3RWpBamtFLVpWTUxsN1E4em1oRzlTUmFoaEFsNmlnczlwcmFoUkRnOXZWYk91QUVmS01zLUtYU0EwOFE9PQ== | Z0FBQUFBQm41UFA1QUg5Z0l6ZlJpdEV0YnlRZEFzTzY4enFIQk4tMWJfVmtMWC0wVGtkZFhPTFlDMTFQd0tFZmV6Qnpmb3o0RnBwYWx4VFhOR2VjOVJKdWQ5ZURPclExdmo1M1VRaFJZXzVBOVJCbi11MHdBV0FRNGp6OEpSRUo5NTgzVFNlbU45S2p6Yy1QZUlIS3ZUWTRXYVo1YVR6UElXNlRhYk9pVlVsdkM0Q1hyTGhWMEd3eFJSMXdJLTlYRjQ3SVNqeUJ5X2Vz |
Hi there! This is a friendly reminder to change your flair to **Support - SOLVED!** after your issue has been resolved. It is an immense help for those that may come across your same problem in the future so that they can quickly find the right solution. Thank you!
*I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/ASUS) if you have any questions or concerns.* | r/asus | comment | r/ASUS | 2025-03-27 | Z0FBQUFBQm41UFA1cWNKLVZNZy1nZE13M2ViSFp4N3A1UDhoUFlqc0plWlZrQUc2MzBhSEZUVmhpczR4Q282WHZVRjV2cGl4S3BhZHpYTlF2RWFfOHJxd3ctOFhSSzlnaWc9PQ== | Z0FBQUFBQm41UFA1OHJEQ3FzRmpUZ1B6VWRnLS00UFQyZllZUXBLUVVxX3lnZURxSTV2YnFtRGRHc3R4anpVVmRWVjFlREl2aGtYM1J0ODhXWjBUX1hJZVFlNnlrSkpOZjNxcGdtbUJ5UzJwNDNhcWJjcmRGZVFhazM4SjlmMDhfRURfSnZCMmJEOHVJeHhiOGcxMmtkaW0xZEZ4Sjh3aVRLcWxIV2dzNDRYNl9Pb2c2XzZmYWZDRWNHRjJLSEx0eHpSUC1YZnI4SzdnM2VCMWhCYndVcG1pY0JYaUZTSmoxUT09 |
How do you know I'm not gay? Do you know anything about me?
Instead of jumping to conclusions and going straight to homophobia, maybe think its almost certainly a joke instead of thinking the worst of a complete stranger. Such complete babies jumping to something it really isn't. | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1dUZBYWVPa2lDQmdZdERCeEI4bElVRm82R0I0R3d6ZDFoNjhLV0RBVkRYakNocFVrSUgzcGRjX0U2S2htc3dMUDgzWDRMSDZ2UlUyYjNNRkdUczkzb2c9PQ== | Z0FBQUFBQm41UFA1NFdNdmh2SzRmMWFsWXg1QlpjeTh0LUVkVWhpcm5ldm1nQ3ZZOG9FZzB6X0c2dnlUT1Z1c1U0TTZXZ1oxRTdTTUZCNGM1UHl6UEtzV3lOdEhzdWdDYndVOEhzdkdZdFRjckxTaWE0dFVSMjZtb3hyT2RkYmFlUlRmM2FuZmFYTW96SnRibzRyNGFfUFBRT29tNTduUEtmNkIzalotckJNRHl2bFNidlhNR1hsbk5fRXY4Y0dZbWdVTzZxR0ZlTk1nUmQyX093dW9qazlxQkotU2pnTS1LQT09 |
this. klopp is so precious | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1clk0clJPT3lnVkFlVEF1a0J1RWtmMExERmxjOFZhQmdkX21EUGJ4Vk8xRGgxcXhhNXp3aUpmRHdpQ1RzWXJIUGhHSHpDNFlSalVUVG5NQlRtMnYtRkE9PQ== | Z0FBQUFBQm41UFA1a3FVaEFDZUdXRmJxdVA2U3hsZm9BWUFMdDNfVU5HZF8zRms1ZVBuZnZoc05obkRCOXFwb3dlMUdKWnB2ZDhucjNGYjBqWHhUVl9OWlhxSWl0bnl6dVFrQkxGd1ExdU04QzZhbGtyUXo5dVBiNWR1NnVHdlJkZXc0NTc1eWNXSld3MXN4WDV5QUNIakx5S1NNRmxfdmZHd3BFZFluanA3aWNxc3VRcHlZWVNZQThNTDRhTUNWTWt5MmNGWi1GWTFyLW4zdG1QRDdUa2VsTHRrR0NSLWFUUT09 |
First glance I thought it was Hendo | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1bUNtQ0NNVGdFRUFqcUlSWmRpbHI4dlNTdUZLX1BiV0ctLTkzbzk2eThEcUxjcTQtYkx6dFBiUWNOVmhFODNnUEhkOUUzWndHb3QydktURFRLZVRlYWc9PQ== | Z0FBQUFBQm41UFA1aS1ZS3pIdnBIVWdpSUg5RzE2NUhkVmgwX3NkMi1wam9zX0h3Y0RBZU9UV2tKM19xRmI3bG1tTXJwWjYtaTZKX0FWeXVzSTBnR1VUaU92cjdCZXc2ejJHQ2ZCN09DbXVRUXZ1WTYyNTB2WUctMzhDbF9pN0IyQzFjSmJYX2sxRTNFTC1OaE91eXg0SGRIb0x0Q3RZMUZydmNXbGFHZ2J0aGhaaTBLa0lKejM4R3JqSWxhWE85dEVvYlhBamZkZWtIWTRfaWJCTEMxaEJVYVNSejNZbkd5dz09 |
Or take it for what it is a comedic joke, not that serious. | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1aExkVmt5ei1iejRYakVVQUczVHYydmVPSFBJRlBrMGM3Slh4TmlJUW4zcGlNU0tuWE5NWkpLME1yOE53ZmpmMzhGeUxDVGhxQy01N3BKeHFDODlVbGc9PQ== | Z0FBQUFBQm41UFA1M3FobGdOOS16MktLcFhwS3gzWW9GX3JBeFQxOFo1YkQ5N0JBbHBXYURyRHplaGw5X1pDZG9rLURhLVlud1dBUWcza29fMWRMMFd6UU9QLTQ5M3MzNm1MckpKOXBxWF9DcW9WZjM2ZGI0WlY5UlRkc0NmOGNfUEg5TVBhRG9CNWdubC1VNEI4aHNiWGdxdGt4VHFoNG90eHJJVDItOF9XeURHTGhsWElMS3BsSl9rbzBhVjh3UEsxTTEwMnlST0E1Z1FqamZKcXdWaVYwR053ZklmVlZCdz09 |
What is the solution? | r/asus | comment | r/ASUS | 2025-03-27 | Z0FBQUFBQm41UFA1dGw4WE8wSk1MWDdSdU9ZLVRsY0ZlekNrcUk1NkN6ajFvZjNPZEFNNlhrUWVocUFxeVBoZy1jVUlZVDdaMkVSaUttVjJNWXlha1dCakpoY3VsWU5RRERfS1J2bWg4UXRsejdMTGNHeEtwSEE9 | Z0FBQUFBQm41UFA1NTcwa1dPcUNRb09uUnlmb0dlbWk2bFJMaWtfSGZWakxILUpRZ1NZMmZnMnA0SjFYU1MzcEhaT25oOW5HMVNlZDdtMUlFblBidWdOeGxHNUhKd2pack80QXRVUGh2TWJfNy1wMXk5YlB6UkRGT1RXSHJicjBxNHZEX1NqYzFnblVUSWlkWDlTMkE3aWdqeGJaV2loQmpfaFRrcmphWVZ0QW1hY0RBclROMHNwRWxReFRrLVJqcm9QMkJ1ZVhGSHQ4eVZZRk1ZNnZ2S3BmWWJzUkcyWS05Zz09 |
What if I told you that you can differentiate things not just in open sets? For example in a surface. That blew me away | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1UGtIT0JsYzE4ZGRGRm9uNE1GUkRPUG5KSVl1ZHlZblBCcm0zS2hIUGVKZUlFY3M0WllpVGdfdlloODN2QWlmcl9WQU84bi13cEVyWW9uSjVHLTRCaEE9PQ== | Z0FBQUFBQm41UFA1cUd1MVdhcVdVS3lDWkhPVXRwZUlSNXdrWi0yT2lJaEt3OGZObUJQSTNobGtFV09xWHVDLTBFcGNac0ZXSnZOd1ZjNFFfN1ppSUVROFRhRElZV0ZxbzJQY1R4b2YtZWdQdFRkVnZYa0JURzJ1dHJZZXp6UXN4RlZJR2tRalYtUENtS0lBZE02RllYRDlWb2Fzdi14RlFYNTIxSS1wSk43cVZtZ01MNkNndHFFPQ== |
Hi all, I need some advice for my first wedding. Im playing solo guitar outside for two hundred and fifty people and then the walk up and down the aisle. I haven't decided if I'm going to go acoustic or electric route yet. Can anyone recommend a basic setup for this? What kind of PA, and if Ill need anything extra like a mixer etc?
Thanks!
| r/guitar | post | r/Guitar | 2025-03-27 | Z0FBQUFBQm41UFA1czVoWFhOMFRwWHVzSzh5NnNlQ0NzOXNKa0VGTFpWd1RQMHktTzBZVUtZbWxBbWhyMTl2T1QyV2M2S2xGMHV0YTFkQ1VOYnZnMHliQzJXTEhOOTNPdXFlVjVCTHRRQTQ4NEFYYld0dVM0cW89 | Z0FBQUFBQm41UFA1engxZzZCLXNjS1JjT21Idmk0b1VsdmhWOGJsMUhsZ1ZXSjlza0dlbHJDbG1zRnU5VnNqby1rMFdNNjh2dFpiOXVLN09kRzdtTWVtSFhpazNTQWptcjBZbk1BWXdJSEFDSDJMU2xUTkRsQXdiQnVIYjRjd1FTZkpuLW1CY0VmRS1EU2ZwdEdOeUJZaERXNWstWWpGdEFwWk9VSHRXRDRaU2FSMW41bmZ5Y1RKZmdvRXY1TW9mMHZCMTZ6cjhFaGlU |
If anyone says anything about tensors I'll strangle them | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1dWtST0FUQXBncl9MVXhMdFF4c1hjbnpINnRyRkRma1FCTlJmWndKTGEyRUZYc0RST19WSkdlWU1RdnZSdDZhczgySldWQmNPdk91d0NQOVZ1OGZUZWc9PQ== | Z0FBQUFBQm41UFA1ZG0tUVFpM1U4azBRRlFtNk54Ui1NeUpDZGpxVFp5eEhlWnI3dlQzY253NUpHRjc5cDBRRFNxempvTnY0S3ZDY3RncVloQ1UwQWVIREJVRnd5dHBLanlnZEhPVVFxREs4MWloSmRtcmRNRkl2VlJlT0lfeV8tYm9iVnhwQS1sV3J2blhTLWpOa3paVE03ZFJ0cVh5T282MmZHVF9YS21IYXRjRDJRY0I1WDlpSzhqX2xfY2twSmlGM2YzbU9oS0FVeDhLeXE2bXBiT2d5eTF4VUtYY3pGdz09 |
Couldn’t have bought a Naby keita one or sm ffs 😂 | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1WTFmX2pmZXlHcnVXdExLQmloUklzaWlUV3BrdVZPQ3d6LVRJUkUwS2NDUTJIODdvazlLRXQxTEhEQmpQSDU5Mko1R0FYbkV6RVRFM3QyVmd6SWExZC1nclhockpFYXF4VGxCZ01jcWNCTDA9 | Z0FBQUFBQm41UFA1ZklMT2xOWi1tOEdsNmNQTXZ0c1ZySUFHRnM1eUJDOTJ2RXlhMUdRbWNWcVMtQ3AwMng3eXdfWUxpZnctVmp1WHRJT0dFbzQ2akpqOGlzdW4ydTByMVFEWGwxVkxwajJXYXI5WEhELTZNZWdBU1NjV21MR0FyUkNVcG1oVzZqMVNMT0x6OWJHUzZ1TDFZVjhiNFkwbXdtX0pKWEo0aGdzMzJ5YW1XcGNwUzJzR28tSzdqY1d2ZWZJd2M2R0k4ZmtEc0RVWUgwTFhmeGpwUDFoTGFHcy1GLUVVY3Y4RHhiY3hLLVUzT3hKMzhlQT0= |
He's got it soooooooooo bad competing for a quad every season of his pro career except for 1 or 2. Is it perfect? No not even close, but you are playing for your "dream" club and the rest of the bs he said in a golden era that will be remembered for years. A very different situation to his "idol" Gerrard had it, not saying every top player should stay at their hometown club through anything but we're in a way better place.
Yes we are about to rebuild but you've seen what Slot has done in his first season, your 2 best players are essentially begging in the media for contracts, your other stud defender will likely renew, and the SDs that build the first Klopp squad are back. Doesn't sound like a bad situation, especially when you say he's likely the next captain in 2/3 times for around a decade. | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1bHhfUlg1aXVIQlZJWFdObm5MRXBFWnhkamFaYlJxalhtLWttRE5WbkNWbWw5Tk9xQmdpei1oSURXdWQ0WWlxXzFKdks0MmFRcklHVWZRM19mWG5FVXc9PQ== | Z0FBQUFBQm41UFA1OVFBUEtwcmpUYkZJWS1UcHIyYkM5TTk2TjQ5ampwVVhNM213MWs5RWhNQVJURnZkbFVTRTFCLTYxcjYwN0VYZXFHcGtCcDZvaWwzSXVUczc4d3hubm81TVUydnpaNFdaNnE3aUY1NUcyRTNlQ190YWJ4ajNXeUtEenZ0am9vWGdxNy1YMm4tZ0w4OWI4dFduZ1BlR1dreDR1d1d6Zlp0bzN3SWdNamN5ZVVZdy15Z3RiQ25ib0lhTkswU0g5RUJFMWpBS3BhQjd4VU4tbUxCY2xQR3RvZz09 |
Ussa? Or USA? | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1Y2FIbWFEQnBJR09HWTF4WTF5M0dMRDFvdlI5QjRwTTFPbVVOWEdrRmp1WlVwbnlub1NIZm9KNkVrTDM4Ri1uQ2ZqV1RfUUNMdFg3RFlGWWJOSnBMZUE9PQ== | Z0FBQUFBQm41UFA1bE9aQlhGREZPdGRsYWtrejRHVzh4SWpXczE0SGtYbzVoUlc0SVFmbG5ETl9sUzY4b0duMGE4SjUyQ1JJU1Nyd1JsdzYxeWNxR0hTeTFBV0FXcGlEbVkxZ3U5cVFROGpaQlc4RXlNWFRIOVF2RWI0cTVBbXNuMFBBYmNEWlBBX0FlTGczSEJ3bnNJMjlqWklCSS1jOWhsb0l5cVpmTndnV2wyNXRUTzMxeTR4SGtUb0hKdnc5UzFuak1tRUh3NzVzQjBXRnh0NGxnYVE0bWRTODJiVGRuUT09 |
I mean, is Van Dijk wrong? Van Dijk wasn't exactly anything special at 22. Like Salah, he became world class kinda late. Not every world class player is world class when they are 20 or something. | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1RDhHMFVvMjNNaVFzTjFBek5hTkdYRE93SUZRMkpLcU5GS2NnQXJJYnAxLXV6STNKWlRFRktXdG83X3FCZGFRMG9WLUJzNG1xeGgtMVVzay01OUlCS3c9PQ== | Z0FBQUFBQm41UFA1dlBOcEFjbkJ2NEhmb0NRcmNUbHZSWmwzTzN6X0ZMSHJLeGU2NlVEZkR3V1h0Vk44eENiMjkxYUtVeWlEanZ6LXRGc0Fua1JCUk5KUnR6YXpPcldlZXNuQl9ZQWdFUmVKVTU1VzhXVFlJakhQbkhFaEpEcEQ5Wi11dkNEYXpKemhVUEpReExMTkNBREhXRDVIUFZyZkk1bi01UXpJa2VqR01PUm9VVWZmX3ZyOWJhXzdCZGJ0ZjFsNHdIRlh3RlBRRk9ndmVxV3BnemVtTi1HZ01NLVo2Zz09 |
Relatively new to guitars recently bought a player two strat but the nut had this residue and some of the frets had this type of rust, as well as the upper strap pin shows noticeable the material underneath
Thankss | r/guitar | post | r/Guitar | 2025-03-27 | Z0FBQUFBQm41UFA1NFZFVXoxTWE4aVlfZTNGMklNQmJ5SmpDZkRNV3Z1WkxIcy02WXBtVW5wLVVWcVRzeXBJVWFFRzNzakVZMEFUdE5teGVvdWRnR2RwcTJxeGlmY2Fzd0E9PQ== | Z0FBQUFBQm41UFA1YVQwaUVKbm1VUVZ0UHdMdFdUeVg4dHp6NWtBY2ExSDdsNEttOXZuT3VsODNObjNPeDAyTDNPWk1zZy1PVHNpQW1JMWlyNUZKVG85dUEyNW9jcklTWEZzd1JqNWxNV0toSDgwc2xRNVM4V2RjOHNGRi1vUGhDNDh2NklFbWhrb2k0Z251clNtWUdjMTJVdzRXWXVRMjJVQmtPbFA3R3ZHbzdkdnlMb3lfeEt3bmp1bzUwQjM2d3h2bzQ5cHVRb1pORUYzWHptRy03UnVQUkxYbnh1VTFadz09 |
SOLUCIÓN ¡¡¡¡¡¡¡¡¡¡¡¡
Hola amigos buen dia me da gusto saber que no soy el unico con este problema, en verdad tambien estuve mucho tiempo con este problema, intente de todo como ustedes y lei cada escrito que dejaron, mi solucion es la sigueinte para ASUS ROG ZEPHYRUS G14 ryzen 9 4900hs rtx 2060 maxQ
para iniciar es recomendable hace un back up de todos sus documentos y archivos en un USB externo ya que formatearemos la laptop
se recomienda usar el sistema operativo WINDOWS 11 pero la version comprimida de WINUTIL ya que esta version de windows comprime y soluciona fallas que compatibilidad que tiene el sistema, asi que primero busquen el video de como obtener la ISO de WINUTIL 11
para continuar la falla es en que el driver de video entre AMD y NVIDIA no son compatibles en asus rog zephyrus y entre otros, es una lastima que gastemos mucho por tener una laptop gamer con fallas, en fin pero el que presenta mas problemas es el DRIVER AMD asi que para generar una mejor compatibilidad descarguen el DRIVER AMD Adrenalin 24.9.1 (WHQL) es el driver que solucionó mi problema, pero como aqui todos tienen diferentes modelos de laptop busquen su modelo compatible con el procesador en la pagina de AMD: [https://www.amd.com/es/support/download/drivers.html](https://www.amd.com/es/support/download/drivers.html)
No olviden el DRIVER tiene que ser (WHQL) esto quiere decir que el DRIVER es 100% compatible con windows, luego de eso hacen lo mismo con NVIDIA.
para los que tienne problemas con el navegador GOOGLE CHROME: tiene que desactivar la aceleracion de graficos avanzados para que no salga el problema del parpadeo en YOUTUBE y tampoco mientras estan navegando en google
muy bien luego de que formatearon su laptop con WINUTIL, es importante isntalar los drivers de inmediato, no dejen que el internet actualice sus drivers por ustedes, tiene que ser muy rapidos, inicien con AMD ya que es el que usa la pantalla de la laptop luego pueden continuar con calma el de NVIDIA.
un detalle importante es que por muy bueno que es WINUTIL no es perfecto y es que la programasion interna aun actualiza algunos parametros de los contrladores lo cual estropea los archivos que son buenos para la laptop asi que tienen que desactivar y nunca actualicen por nada del mundo en windows update y desactivar la actualizacion automatica de drivers internos que esta en administrador de dispositivos, solo estas 2 cosas.
En fin esta fue una solucion al 99% para mi asi que espero les ayude colegas. BUENA SUERTE. | r/asus | comment | r/ASUS | 2025-03-27 | Z0FBQUFBQm41UFA1OEo4OE1mUDdTUWNSaV9yTkdaZlUwOU9YZzFUN3I5VHBHazhzaTJaMGZpalIwZjhsbkhRdkwwbFBFNTcwel9sUG5BMUVQQWdrOEd3QjdweHZ5UVgxUUt3NHBrYW12OXByTWJzYkVuWnF5cms9 | Z0FBQUFBQm41UFA1dHFlQ3VxX3RDWFBmQkhIbGVVTXd1aWVfcF9qeS1OUFJfUmk0emc0UjZVTlVDMjdEb1dYRTR4OTRBMV9OZ1ZsbWRfMEplQXJjcU1HQlhDWTRLVHVKX29UUnlwbHdNcGlUaU1tUnhxNFNUd0FsQUNXUHAxX1JxdEJNakx1REg5QzJIZ1Eybk5RR3YydFNQOU9fSi1ybDNTM0prR0xpYjE5WnA3ckZad2lpRXpITGUxNE5pVmY2ZlBRYjRvLTFrTGRmTkdaYWJzbUd6Si0wdGhoR0tMUENIQT09 |
At burning man, we call this a piss jug. | r/wtf | comment | r/WTF | 2025-03-27 | Z0FBQUFBQm41UFA1ZGhud214STBKLXF1RUp6TV9PSWRwWEtLVW9Ra0dQUGllRXdURXpuaUtKTnM5MHZidzRwSkNKSUM2RmxFQnlwZTNlN28ycHpIVWVXaEoyTEpnd2RuQ3c9PQ== | Z0FBQUFBQm41UFA1WWNWTVA5emhwSW5Wb21kVkRSSkZDWmJmT3NidDFQVlJvRFpmTWNhZHhOUzZkUVItdzdCSFItVFd0dXdVanNCTEgtaHl2NDFDZDJ4clNYazRUcno2UTBCaENISVMtRG5LaktBek9SeGtmQnh4VW9pbzU0Zmx2TTZDbWVJbDQwVTROUXY5ZFhRQWtqMGpSdmhZR2FtY2tmT2docjV5N3dGbk4zc1hrWXJGNlk1Y2hWeTlRWmg4NG1GTmt6NndTX1AxdTQ2SzFiQUNFNFF0UUFpNzljSXVnUT09 |
Hi u/baresketcher, your post has been removed because:
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This bot does not reply. | r/wtf | comment | r/WTF | 2025-03-27 | Z0FBQUFBQm41UFA1VVI1c1NnSTZSY0JHb3VRREc1QkZuNGh0SFFZSU04Y05UdmtzaG5jREJyM3lpb0hOTktfbVA4NGh5anFidk1vTHczRHQtOE1YdllqcmtFTC1YaWRzV1E9PQ== | Z0FBQUFBQm41UFA1MnBDU1U1OTV0Z2RTVnJBaUlzcDUtU0hSVGpRbXY5US1RYTc5YUd2cEpfZjd2bHFKdlllb3N2eE11ekN6YXVrYnVtNDVOOHJCTkhGbExLeDRCS0NaNENxZXlVVVZMTllUY21qc2Y0cnlSaXdWcUw5TWw2MjRzMnhwai01TXMxdHc0ZkdqejZvUkpCZU16SFI5MkF5TkVlVTRxeVNDbVJjVWxiUTAzbmVtd3dEbVhqRnhDNTI3Zjd6aWFHS0dVdHVkVHJ1MThMNmcxYm9CSDBCUW1ubGlsZz09 |
He wanted to play for Real Madrid. There wasn’t anything much we could do. He sees himself as a generational talent (rightly I guess) alongside the likes of Mbappé, Bellingham etc. Local lad with galactico ambitions. That branding really worked. | r/liverpoolfc | comment | r/LiverpoolFC | 2025-03-27 | Z0FBQUFBQm41UFA1NWYySFVYOWJ6XzMzN283d1Z2TGlMamN4YnhTelFLMmN5UXhxUmljbUVlWG5JUnJUZWhHS3M5SGV5RDUxMXBJa0Z3NHlnX2s4ZmhOWC1xQTFKbHRGa1l2MGNDTHB1VUIydVdZMEJZM1M4Sms9 | Z0FBQUFBQm41UFA1WUtjMUQyYnRLZHA2OHhicWdRaWg4YU5ZakptWV9IcUItX0phVVFtMHItX0hBcVlybXEwR2dzWjFkTkFkd2VwbjFqemNCM0hodkVIa3IzcmZLNnFEc0loOXR6RnAtbFBnaVRCVVFWZ0hadGp5cFVKbWJZVVVaZFVOY0tOdEM3aVE4OXNZQ1FtcnFiUVlITmxNeFdqUG5QYkVpY2dSbDhuejNJUDF2Z1I3Ym52Z3NIYTdGYUIwdkNCX3NBd2pocjFnSUgyZmNXUVhWUlJiWjkwNW5QOWFLZz09 |
It’s a frog (toad) eat frog world | r/wtf | comment | r/WTF | 2025-03-27 | Z0FBQUFBQm41UFA1eUNzVkVNdzJFekFaTFNDSk8zNXRxNmVZbGk3ZmtnS0RVX2QwUWpLemE2ODZ6QkpBVWZybnMySzVhb3p6XzlyUmFoLVBmVDhpYkttcEZvamxRZENUYVltQjdqZXB3NFVvQnFHNGZJX2NTOVU9 | Z0FBQUFBQm41UFA1aGN4bzlQNFFJTnVER1BwS1JaOWh4ZjVZWWswQUU3LXh2Qm9rRVFoT0FvU0pLd1JDdzhETGgtblpRVy1MMzYxZTFtR1ZvbFMzZmYzUjlkalR4TG9BdlNOM1ZwZmJCR0pBNHRMazlCTE1JVkkwdkdVX0hGMC1NTnk3SW9lTnBua0ppMHd6UHNhTEpnNHpKbjhRcm5qdjRXZlkxeU1sakg4R3pqN0g4bV9GTDVnPQ== |
Spoken like a true mathematician (not one who just reads from time to time like me xD).
Further rabbit holing here (I love differential geometry/topology). One interesting thing I’ve always thought is that differential forms have a wealth of geometric implications. Differential forms describe infinitesimal volumes on a manifold, and the antisymmetry imposed by the exterior algebra gives us a sense of orientation (if you permute two elements it picks up a sign depending on the parity of the permutation). 1-forms and 0-forms are obviously special because of their unique interpretation (cotangent vector, smooth function on the space, respectively). Riemann curvature tensor is definable in terms of 2-forms. Etc.
The de rham isomorphism (and stokes’ theorem) relates the geometric information carried by differential forms to a purely topological notion (co-homology). It really is, in the smooth manifold context, a unification of topology and geometry, and in some sense, gives us solid footing to study the topology of the manifold using geometric information. | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1dVVzWEJSS1NEa3V2VTJYNFdfbEJkcVJQcWJobDA2RC1EaVZ5NmV1XzdOR2VUMEstZmJEVnZqRlc5Sm0ycWZLaGxSaEl2eE5BeUlmM05pUFpZTTRSTVlzWDVpRHFHR0pQNFhZNTlqMlRvY289 | Z0FBQUFBQm41UFA1aUd5VjR3LW1KM2FVYkNFcTd0RjQ3SjVKSWVoS1ZsQ3FweVlNeU1tSFJNTTEtSnNNNXhGWWhmLV9iV1A5VjdmSE9YUEhYdkVnMlQ1VVpWcVBxdm1xaUI0T3BpQldsRWNsbmlreXZUd3BPb1lWOGNnVGlOVmI3bENKZFZQeWhhaC1KaHIwaVktQlBmR3czaVREbFlLcTl1WEJiUVFTMDludGI3bHhqR0ZkTjRTQ1Z0RGdIOUNKUVhnaC1kdHA3T3pOeEh6SUdYQjM4SV90Njd2di0ycUlOdz09 |
My first. I’ve been chasing that dragon ever since | r/wtf | comment | r/WTF | 2025-03-27 | Z0FBQUFBQm41UFA1VDVBNzgtWTlkQjNzZ2YxRnVPTVB1Y0NjU2c0REJQN0lVd3pLVGlhemlCOFRiRFJ5M3A2ZTdMM1VIdjB5Wk40anJSd205Z3p2M0l4d0lmTmxseE5VYU9fVzdudkh2WDF2NExIVVhFLWlzd1k9 | Z0FBQUFBQm41UFA1RU1UcURYUE8tMEpSc2lucm1XeVlUQjM1Nl82WGNrSUg2SkE5TlY0UTQ3bUhEN1RuM1U0MnFFcXlyb1EwVUJVRkt0bVo2MlhXWDJPTjBmV1Y3M2RjTUV3dE5jNEhMSlVPd2JHZzl5cU40bTllYVhRWnMydEFqY0VXNV9sbERKV2w0LWZ6VHdJalNORVNqRElaSkZRMW5SVlJzVFZYbzczR0c5bmlRZ3NUbmR6djFyRDNLRm1WMjZ5WHg1RUFQRHR5 |
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*I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/math) if you have any questions or concerns.* | r/math | comment | r/math | 2025-03-27 | Z0FBQUFBQm41UFA1c3Y4NXJKQ21RXzRhUV9kU1VYMzFEZlpiSTFnVlRIUmFtWk5UVnVnZ0R2LXloN1BXdEJZWUZDUV9odWZUVldNOUNwTVZoUUV5MDQ4RHpZWjk2MHVrb2c9PQ== | Z0FBQUFBQm41UFA1c29tcjNyMDRMZVNvOUF5UGswRC1jdFpqalM1YzZXQzhyd0hJSi1pS2xrX3hsbFN2ZFdkUzd4OFRMNWlXTHBQWlJfTF9MaFdrbWhDOXgxbnJPZGFUQWxWb3RCZGprV1JIR2dIMkRTWlRGYUNEbVhVMy11MmdDRENQQjczbWZfZ0JEdmJ2SXcyUDVKMmsycHgzQkxvQzdSQ251NEd4RzNDRTFMUVA3SVlCWl9ZPQ== |
That’s how I found out too. Full blown anaphylaxis and I live alone so I called 911 because I felt myself passing out. Terrifying. | r/wtf | comment | r/WTF | 2025-03-27 | Z0FBQUFBQm41UFA1X2hFMWpfUE9WZ1pjaDB0TkU1QTllV1E1MHBQeFl6ZV9xVFJLMmtRNGJLUnhNRC11OFVfY19TeTVJZDJXUVpzZVkzaDNWblRRbWhGRVl0T1VPal9GX1E9PQ== | Z0FBQUFBQm41UFA1UW8xUkdpdWE0enB4LTJLNVQ3NTJ3Y21jZkx0UVlvSHVjSmdVQmlmR0pTdjNHc3E4NTJDVm5QUWFSMjFYamdRRmRjSXBDM2NlMDBhZVpCZjVMRnR5c0x1ekJjci16MXVLWFo4MXdmWjd4aFNjUVhfNHc5djF5eEhfT085VmRnTmNraGVCTVltVFQyRHNFaGxFZHAxRjFVNFE1MVdmeHJMZ1VSaU9ac3NPOFpBQWZtU19ObTExNDV5dGpQNWEzS29DNVkzQm1wMHF2MHFsX0ZvLVZYSTNqUT09 |
Well said. I reference this at least 10 times a day so thank you | r/wtf | comment | r/WTF | 2025-03-27 | Z0FBQUFBQm41UFA1VktPSklNZFZmN3Q1Z2daZmh6RGFZVGlyc0NuT1BxdGFWN2xxWERNTjVhcDVHRHd1bVM0NmhTVHpSX0taOUYwRVRqb2NaZnpYblRkbnNjdm9jVEpRbUE9PQ== | Z0FBQUFBQm41UFA1Zk0ybFIzeVB2Q2RBWE53QTJqWTVVOFVIN2I4WmdXXzBfZGRSTDJqdUJ0MF9OVUUxcVp0cjU1clhsdnF4c3pWanQ0Um9PdjBodW5xRkl4UkFmdEFXUDI0WGYwTnVyTXVvMTJMeGsyOHgyVkpBTUsyaTF4UGExY2FuaDZPanFnSVI4dlRYU2FzUTh6VklPTkpQdTNYclJTZlE5M1kzMkVIYklkZ19lcm50RWY3VmNtbUw2UU5Ka2VDYng3TTYzTTFvNXlyR1J4eUJXaTl0SjZ0TlU0MmdnQT09 |
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