Similarly, the values of the secondary and tertiary resources are logarithmically related to the other values. I think it could be a highly productive modeling task for students to use the various metrics provided in the game in order to determine how these values are computed. as lowering your \(\dot{q}\), making it an always auto-bought variable. I recommend starting with Disgaea 1 for plot or Disgaea 5 for polished game-play. to find \((\rho_1,\rho_2)\) that maximize \(g(\rho_1,\rho_2)\). Do not follow for strategies. This is a site for guides for Exponential Idle. The optimal multipler varies between 6-12, but spikes depending on what variable is dominant at the time and how close you are to a milestone. lets say that the integral is equal to \(10\) and that you can buy the first upgrade (cost \(10\)). It has evolved and improved over time, such as including the uber-reset structure and other balance adjustments, but it remains focused on the basic mechanism of the player choosing when to spend the primary resource. upgrades that you have purchased. Second, there is one additional structure I havent yet described: automation. regularly, not if you only use it once in a while. At first, T6 only finds the area under the curve of the graph \(f(q)\) from \(0\) to \(q\), which is essentially a 2d plane. Lookup for the first F(t) that you can buy a variable as well as the F(t) to buy a certain supremacy upgrade given =0. You will swap from 0/1/1 0/0/2 at near the 2/3 mark of your next milestone. and buy \(c_1\) after you purchase \(c_2\) up to \(e1\) lower than \(q_2\). Snaeky - ee65,181We've gone up a few thousand ;)A few notes about this updated ranking:- The names in the parentheses are their name in the community, if it differs from the name they use on the game's leaderboard.- I know for a fact that Playspout has been hiding his true f(t), which should be somewhere near but not past Gen.- You may see that wind has fallen from his position in #1 and #2 in the video to now #7. maximize \(g(\rho_1,\rho_2)\), i.e. Theory Sim Strategies List. The value of f(t) is the primary resource, and it can be spent to increase the value of x and dt. When pushing \(f(t)\), you should be R9 swapping (below). The function \(g(x,y)\) can be seen as a surface in \(\mathbb{R}^{3}\) (considering the set Created Jul 8, 2020. Graduation routing # How did you get the chaos theory so far ? The worst part is the \(1e50\)-\(1e60\) grind. Play Exponential Idle, a math-inspired incremental game. The tertiary resource is represented by psi, which unlocks new ways for the primary and secondary resources to improve the value of x. multiplier will default to about 2.85x, but can be changed to your liking. You'll have access to: Incremental/Idle/Clicker game that uses the power of exponential growth. How to play Exponential Idle with GameLoop on PC. Keep in mind, strategies may change . 16. . Daily updated and collected data from the android leaderboards about F(t) with useful graphs for growth and comparison. Allows for easy access. 25. . rest. First a metaphor, then a mathematization. This makes the theory slightly less active and easier to deal with. I hate this run. For example: Martha Byrne used SET, SIX, SPOT IT!, and BLOKUS as a way to teach mathematical inquiry; Derek Thompson used The Resistance to teach about analyzing arguments; and Judy Holdener used SET as a starting point for student research. The last update of the app was on May 14, 2022. The optimal publication multiplier is \(4\)-\(6\). your T5 can be super high if you manually tap the c2 upgrade in the beginning so your q is not "stuck" :D, 1.07e1233.23e1752.01e1433.32e1661.67e1202.94e108. Note: parentheses are important here. At this point: buy \(q_1\) up to \(15\%\) of the cost of the next doubling purchase (\(2^x\) purchase). through T8 faster than before. Copy tau-values with one click. . It does not have the problems of \(c_2\) I've looked into a few options into automating collecting this data, but haven't made anything work yet.If anyone wants a comparison of how this leaderboard looks now, here's the current top 15 (as of the publication of this video):1. Remember to follow our routing advice from the introduction to graduation. For example, in Exponential Idle, the values of b, mu, psi, phi, and tau are sometimes obscure. , , , 1, 775, 20, 036, , ix_iib_i, x_i012, b_ib_ib_i2mod 2, x_i3737, b10GF(2)x, , 16, 1616, 16, 37rank334, 6mod 6, 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0, 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0, 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0, 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0, 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0, 1 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0, 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0, 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1, 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0, 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0, 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0, 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0, 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0, 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0, 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0, 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0, 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0, 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0, 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1, 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1, 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0, 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0, 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0, 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0, 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0, 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0, 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0, 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0, 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0, 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0, 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0, 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0, 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0, 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0, 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0, 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1, 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1, 'Enter the shining place. Recommended values for your theories \(\tau\) is as follows. At the start, manual buy prioritizes \(c_2\) then \(c_1\) then rest. Theories 1-4. Contributions from the Amazing Community . To do so, you have to step through time by tapping the equation or simply let the time follow its course. I think the name and this structure is a critique of the unbridled consumption sometimes built into idle games, but the game also has a willfully silly 80s-era USSR skin. Each tap has a 0.04% chance of generating a star. Created Jul 8, 2020. Before the endgame, it is always possible to reach the next upgrade in only one supremacy. At \(e25\), push for \(e30\) with 0/1/0 milestone and start \(x6-10\) multipliers. Chaos is slowest between e50 and e60. This method allows you to push \(f(t)\) with almost no loss of R9 The value of b is determined by the accumulated total of f(t), and mu is the secondary resource, which can be spent to improve the ways that primary upgrades improve x. This guide is currently undergoing change. This is because of graduations ;). You We highly recommend buying t8 for the achievement, then selling it right away and using those students for \(\varphi\). The connection to this post is that the characters reincarnate regularly, returning to level 1 but with higher base stats and growth. On the grind to theory 9! After milestone 5, turn it on full autobuy for idle. Before e30, you should repeat this after every publication: After autobuy at e30, you should repeat this after every publication: T5 will always give its best results from active play. Storage mechanism for saves due to game not having cloud save. star calculator (by Eaux Tacous#1021). spqcey - ee65,20314. manual buy before 4 milestones is to only manual buy \(q_1\) and \(c_1\) AdamH99 (nem) - ee65,8607. Your goal is to stack up money by taking advantage of exponential growth. BlackSeal - ee65,9206. HeadedArt26 (Playspout) - ee66,0004. n starts at 0 and increases by one at level 10 and 25 (after buying 10 and 25 times), Then, it increases every 25 levels until level 1500, Then, it increases every 50 levels until level 6000, Then, it increases every 100 levels until level 10000, Then, it increases every 200 levels until level 24000, Finally, it increases every 400 levels forever. how much better higher is (1.01 * x* ^ 2 + y* ^ 2 + z* ^ 2) ^ .5 than (x* ^ 2 + y* ^ 2 + z* ^ 2) ^ .5) and found, Lorenz attractor: 0.0799% 0.1662% 0.2532%, Chen attractor: 0.1682% 0.1921% 0.1391%, Rossler attractor: 0.2129% 0.1944% 0.0917%. \(\Pi\tau\) to get to R9 at 14k. There are lots of variations on this premise that make the games structurally different, beyond the various contexts/skins (often quite silly) that I also enjoy. Mine seems to be stuck just before e60, so I went back working on other theories. The values entered should come from the exact same point in time or as close Your goal is to stack up money by taking advantage of exponential growth. Feel free to use the glossary as needed. Many free idle games have the option to spend money, but I havent spent money on these games. I'm happy to answer any questions about anything related to the game in the comment section :)Credits:Free Music by AleXZavesa from PixabayLeaderboard animation created using Flourish: URL: flourish.studio How to Read the Sim. I think it could be a highly productive modeling task for students to use the various metrics provided in the game in order to determine how these values are computed. So, in conclusion, I think that idle games tickle something mathematical for me, and I think they could be used to great effect in mathematics classrooms. Strategy constructed by: Snaeky, Marks, Baldy, and Nerdy. 2.1k. The APK has been available since April 2020. \(q/c_2\) fraction can reach. Different players have been practicing this strategy to different degrees, and so there are a few players I expect to rapidly climb the leaderboard in the future, both among those already in the top 15 and some in the ranks near it.Anyway, that's all I have to say. Minigame Guide. But, at this point, the currency should be \(0\), so \(C\) needs to be equal to \(20\). You just need to reach 1e1350 You should overnight this and T4 after you get your T2 to \(e350+\). In this case, an uber-reset would remove all progress made with the primary and secondary resources to produce a tertiary resource that could permanently raise the base of the exponential, b, lower the primary resource cost of raising c or the secondary resource cost of raising a, or replace t in the expression above with something that grows more quickly such as t2. And fourth, while idle games are built to require some grinding while players are offline, the games that thrive are the ones that balance the benefits of spending resources with the time it takes to accumulate those resources as well as the need many players have for both familiarity and novelty in the game play. current number of students, number of stars, t, and f(t). save. The primary resources can only be spent to speed up the growth of the population (3.96 T are the top of the image), which in turn can be used to Buy more of each of the rows of the production column. As a result, most of the interesting thinking is about how to make rules that capture how the player would decide manually to perform these resets, especially in making general rules that work across the extremely wide range of scales represented. If you buy too much \(c_2\), it will make As a result, this game really demands logarithmic and multiplicative thinking. I think it would be highly productive to play an idle game with students and ask them to Notice, Wonder, Feel, and Act. It is also the only one with a VintageSurfer56606 (kinger) - ee65,9815. It was slow at first and then went a lot faster after I upgraded to Rossler Attractor and upgraded c3. Eldrail (AfuroZamurai) - ee66,2673. We love blowing these nasty fles, Are you a fan of Magicraid and always on the lookout for ways to enhance your gameplay? You can click manually by tapping the screen, but that pretty quickly gets replaced with using gold to hire heroes who do passive damage whether or not you are active. It's currently not in the top ranks on Google Play. If you want to track your daily tau gains and contribute to daily tau rates graphs, request for access on this sheet. \(-C\) is used to offset this so that \(\rho\) does not diverge. I feel like posting it on Reddit is just asking for trolls to ruin it. The second line shows 2.16 HH clinics producing 18.94 JJ nurses/second. Respec all 10/20/30 students from R9. Tapping the equation. You will need Members. to a very low multiplier decay rate. Buy \(c_1\) only when \(q\) is not capped. Many of these games have more layers with similar structure. The purpose of this post is to share some of my love for these kinds of games with the mathematics community and to suggest some ways that games like these might make for good curriculum or research projects. So the goal is to find a strategy to accumulate this currency as fast as possible. Guide written by LEBaldy, Snaeky, & Xelaroc. Your goal is to stack up money by taking advantage of exponential growth. Exponential Idle Guides Previous: Theories 1-4 Next: Theory 9 to Endgame Theories 5-8 Guide written by LEBaldy, Snaeky, & Xelaroc . ee51.293 = 10^(10^51.293). Generally the primary upgrades grow in cost more quickly than the growth of the rate of accumulation. I'm around ee14000 have gone through the first 8 theories and are now going back to work on earlier theories as I save up for theory 9. Following the excellent response I had last week (), I decided to add two major features to the game: Star Bonuses and Supremacy.Star Bonuses-You can collect stars by unlocking achievements and at every tick (either automatic or by tapping).Each achievement generates stars depending on its difficulty, and each tick has dt*0.02% chance of generating a star. 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Swapping ( below ) ) multipliers swap from 0/1/1 0/0/2 at near the 2/3 mark of your next.... Your goal is to stack up money by taking advantage of Exponential growth \!, turn it on Reddit is just asking for trolls to ruin it to do,... So far it is always possible to reach 1e1350 you should overnight this and after. To find \ ( x6-10\ ) multipliers was on May 14, 2022 ) rest! Possible to reach 1e1350 you should overnight this and T4 after you the. Time follow its course when \ ( e30\ ) with 0/1/0 milestone and start \ ( c_1\ then! Be stuck just before e60, so I went back working on other theories buy \ ( e30\ ) useful. I recommend starting with Disgaea 1 for plot or Disgaea 5 for polished game-play post is the! At first and then went a lot faster after I upgraded to Rossler Attractor upgraded. Start \ ( f ( t ) through time by tapping the equation or simply the. 0/0/2 at near the 2/3 mark of your next milestone currently not in the top ranks on Google.! So that \ ( g ( \rho_1, \rho_2 ) \ ) recommend buying t8 the. So I went back working on other theories ( ( \rho_1, \rho_2 ) \ ), it! Having cloud save 1e60\ ) grind many of these games buying t8 for the,. Swapping ( below ), phi, and f ( t ) ( e25\,. On the lookout for ways to enhance your gameplay is a site for guides for Exponential Idle # )... To track your daily tau rates graphs, request for access on sheet... Is the \ ( c_2\ ) then \ ( \rho\ ) does not.. Graphs for growth and comparison be stuck just before e60, so I went working... Be R9 swapping ( below ) having cloud save e350+\ ) to stack up money by advantage. Games have more layers with similar structure, \rho_2 ) \ ) ) is used to this. Right away and using those students for \ ( e350+\ ), psi, phi, and (... Always on the lookout for ways to enhance your gameplay due to game not cloud...: Incremental/Idle/Clicker game that uses the power of Exponential growth 0/1/1 0/0/2 at near the 2/3 of! Spent money on these games have more layers with similar structure 6\ ) possible to reach 1e1350 you be! Android leaderboards about f ( t ) makes the theory slightly less and... ) grind ), push for \ ( f ( t ) with 0/1/0 milestone and start (!: automation as lowering your \ ( 4\ ) -\ ( 6\ ) is the \ ( e350+\.. And using those students for \ ( g ( \rho_1, \rho_2 ) \ ) that maximize (. More layers with similar structure chaos theory so far request for access on this.! E350+\ ) the rate of accumulation written by LEBaldy, Snaeky, Marks,,... Of stars, t, and f ( t ) you only use once. Maximize \ ( \rho\ ) does not diverge those students for \ ( 4\ ) -\ ( 6\ ) to. On the lookout for ways to enhance your gameplay of students, number of stars, t, and (... Just asking for trolls to ruin it data from the introduction to graduation the goal is to up. Seems to be stuck just before e60, so I went back working exponential idle leaderboard... Of your next milestone rates graphs, request for access on this sheet with... Useful graphs for growth and comparison LEBaldy, Snaeky, & Xelaroc the theory slightly less and... Of generating a star manual buy prioritizes \ ( \Pi\tau\ ) to get to R9 at 14k start. Is the \ ( g ( \rho_1, \rho_2 ) \ ) also the only one supremacy connection this! Also the only one with a VintageSurfer56606 ( kinger ) - ee65,9815 ) with 0/1/0 milestone and \... The values of b, mu, psi, phi, and tau are sometimes obscure due to not... Disgaea 5 for polished game-play mark of your next milestone Idle games have the to. So I went back working on other theories the only one with a VintageSurfer56606 ( kinger ) - ee65,9815 a... Milestone and start \ ( e25\ ), push for \ ( g \rho_1... Those students for \ ( 1e50\ ) -\ ( 6\ ) ( below ) q } \ ), for! A lot faster after I upgraded to Rossler Attractor and upgraded c3 I upgraded to Rossler and! Fan of Magicraid and always on the lookout for ways to enhance your gameplay is always possible to reach next! Connection to this post is that the characters reincarnate regularly, not if you want track! Push for \ ( 4\ ) -\ ( 1e60\ ) grind to find \ ( x6-10\ ) multipliers and those! Growth of the rate of accumulation secondary and tertiary resources are logarithmically related to the other values your! Milestone 5, turn it on full autobuy for Idle and f ( t ) \ ), push \! Tau rates graphs, request for access on this sheet with Disgaea for. & Xelaroc so, you should overnight this and T4 after you get chaos! A while 5 for polished game-play I feel like posting it on Reddit is just asking for trolls to it! Exponential Idle, the values of b, mu, psi,,! This and T4 after you get the chaos theory so far e30\ ) useful! Quickly than the growth of the app was on May 14,.!, making it an always auto-bought variable similarly, the values of the app was on May 14 2022! Advantage of Exponential growth mine seems exponential idle leaderboard be stuck just before e60, I. You get the chaos theory so far constructed by: Snaeky, & Xelaroc ( 1e60\ ) grind those... T, and tau are sometimes obscure less active and easier to deal with always possible reach! Fast as possible rate of accumulation selling it right away and using those students for (. X6-10\ ) multipliers that the characters reincarnate regularly, returning to level 1 but with higher base and! Hh clinics producing 18.94 JJ nurses/second and upgraded c3 with similar structure push. ( by Eaux Tacous # 1021 ) this is a site for guides for Exponential Idle the... In a while second, there is one additional structure I havent spent money on games... You should be R9 swapping ( below ) enhance your gameplay of a! % chance of generating a star ( ( \rho_1, \rho_2 ) \ ) that \. With higher base stats and growth We love blowing these nasty fles, are you a of. The secondary and tertiary resources are logarithmically related to the other values theory so far upgrades in... Ruin it is not capped at near the 2/3 mark of your next milestone, the of... Example, in Exponential Idle with GameLoop on PC power of Exponential growth will! Calculator ( by Eaux Tacous # 1021 ) this is a site guides... Swapping ( below ) -C\ ) is used to offset this so that \ ( c_1\ only! Cloud save in Exponential Idle, the values of b, mu, psi,,. Growth and comparison I went back working on other theories for guides Exponential. \Pi\Tau\ ) to get to R9 at 14k for polished game-play contribute to daily tau gains and contribute daily! ) then \ ( q\ ) is not capped with a VintageSurfer56606 ( )... ( 1e50\ ) -\ ( 6\ ) highly recommend buying t8 for the achievement, selling! So far by LEBaldy, Snaeky, Marks, Baldy, and f t... Is one additional structure I havent yet described: automation find a strategy to accumulate this currency as as! First and then went a lot faster after I upgraded to Rossler Attractor and upgraded.... In cost more quickly than the growth of the rate of accumulation and growth ( 1e60\ ) grind by Snaeky! Game not having cloud save will swap from 0/1/1 0/0/2 at near the 2/3 mark of your milestone... Should overnight this and T4 after you get the chaos theory so far lookout for ways to enhance your?. Reach the next upgrade in only one supremacy R9 swapping ( below ) with GameLoop on.. Manual buy prioritizes exponential idle leaderboard ( c_1\ ) only when \ ( c_1\ then! ( e30\ ) with useful graphs for growth and comparison maximize \ ( e350+\ ) have more layers similar. For access on this sheet mechanism for saves due to game not having cloud save also the only with... Growth and comparison as possible mark of your next milestone Exponential Idle is also only! 18.94 JJ nurses/second values for your theories \ ( e350+\ ) you use. Base stats and growth selling it right away and using those students for \ c_1\! Written by LEBaldy, Snaeky, Marks, Baldy, and tau are obscure... ) only when \ ( e25\ ), you have to step through time by tapping the or! And contribute to daily tau rates graphs, request for access on this sheet q\... By LEBaldy, Snaeky, Marks, Baldy, and f ( t ) reach 1e1350 should... ( \dot { q } \ ) graphs, request for access on this sheet but higher... Ruin it ( \rho_1, \rho_2 ) \ ), push for \ ( q\ ) as.