NG+++ Wiki
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(MAJOR EDIT:MAKE STUDIES ORDER CORRECTLY AND ADDED NEED STUDIES TO BUY THESE)
Tag: Visual edit
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{{Header}}
 
{{Header}}
 
[[File:Mastery Studies-1.png|thumb|216x216px|The Mastery Studies tree (as of Emperor Dimensions update)]]
 
[[File:Mastery Studies-1.png|thumb|216x216px|The Mastery Studies tree (as of Emperor Dimensions update)]]
Mastery Studies are a feature briefly added in NG++ , and continued in NG+++. They are similar to Time Studies, but for every Mastery Studies you buy, all of the other Mastery Studies prices get multiplied. To unlock Mastery Studies, you need to buy the "Unlock Meta Dimensions" for 1e24 Time Theorems and have the 1e100 dilated time upgrade.
+
Mastery Studies are a feature briefly added in NG++ , and continued in NG+++. They are similar to Time Studies, but for every Mastery Studies you buy, all of the other Mastery Studies prices get multiplied(all dilation studies not affect Mastery studies cost multiplier).To unlock Mastery Studies, you need to buy the "Unlock Meta Dimensions" for 1e24 Time Theorems and have the 1e100 dilated time upgrade.
   
 
== List of Mastery Studies ==
 
== List of Mastery Studies ==
Line 7: Line 7:
 
!Study Number
 
!Study Number
 
!Base Cost (in Time Theorems)
 
!Base Cost (in Time Theorems)
  +
!Need studies
 
!Description
 
!Description
 
!Details
 
!Details
Line 13: Line 14:
 
|241
 
|241
 
|1e71
 
|1e71
  +
|<nowiki>-</nowiki>
|You gain 2.2x (from 2x) more IP by buying IP mult.
 
  +
|The IP mult multiplier IP gain by 2.2x per upgrade
|
 
  +
|These will no longer active if you have 4 GB gluon upgrade
|1.00x
 
 
|1x
 
|-
 
|-
 
|251
 
|251
 
|2e71
 
|2e71
  +
|241
 
|Remote cost scaling starts 1 galaxy later per 3,000 dimension boosts.
 
|Remote cost scaling starts 1 galaxy later per 3,000 dimension boosts.
 
|
 
|
|2.50x
+
|2.5x
 
|-
 
|-
 
|252
 
|252
 
|2e71
 
|2e71
  +
|241
 
|Remote cost scaling starts 1 galaxy later per 7 free galaxies.
 
|Remote cost scaling starts 1 galaxy later per 7 free galaxies.
 
|
 
|
|2.50x
+
|2.5x
 
|-
 
|-
 
|253
 
|253
 
|2e71
 
|2e71
  +
|241
 
|Remote cost scaling starts 20 galaxies later per 9 extra replicated galaxies.
 
|Remote cost scaling starts 20 galaxies later per 9 extra replicated galaxies.
 
|
 
|
|2.50x
+
|2.5x
 
|-
 
|-
 
|261
 
|261
 
|5e71
 
|5e71
  +
|251
 
|Dimensional boost costs scale by another 1 less.
 
|Dimensional boost costs scale by another 1 less.
  +
|these will access eternity challenge 13
|
 
 
|6x
 
|6x
 
|-
 
|-
 
|262
 
|262
 
|5e71
 
|5e71
  +
|251
 
|Dimensional boosts affect Meta Dimensions at a reduced rate.
 
|Dimensional boosts affect Meta Dimensions at a reduced rate.
 
|max(((Dimensional boosts)/15000-19),1)
 
|max(((Dimensional boosts)/15000-19),1)
Line 49: Line 56:
 
|263
 
|263
 
|5e71
 
|5e71
  +
|252
 
|Meta-dimension boosts affect dilated time production.
 
|Meta-dimension boosts affect dilated time production.
 
|(Meta-dimension boosts)+1
 
|(Meta-dimension boosts)+1
Line 55: Line 63:
 
|264
 
|264
 
|5e71
 
|5e71
  +
|252
 
|You gain more tachyon particles based on your galaxies.
 
|You gain more tachyon particles based on your galaxies.
 
|2*(((Galaxies)+1)<sup>0.25</sup>
 
|2*(((Galaxies)+1)<sup>0.25</sup>
Line 61: Line 70:
 
|265
 
|265
 
|5e71
 
|5e71
  +
|253
 
|You can buy replicate chance intervals over 100%.
 
|You can buy replicate chance intervals over 100%.
  +
|these will access eternity challenge 14
|
 
 
|6x
 
|6x
 
|-
 
|-
 
|266
 
|266
 
|5e71
 
|5e71
  +
|253
 
|Post-400 max replicated galaxy cost scaling reduced.
 
|Post-400 max replicated galaxy cost scaling reduced.
 
|
 
|
Line 73: Line 84:
 
|e13
 
|e13
 
|1e72
 
|1e72
 
|
 
|Eternity Challenge 13
 
|Eternity Challenge 13
 
|
 
|
Line 79: Line 91:
 
|e14
 
|e14
 
|1e72
 
|1e72
 
|
 
|Eternity Challenge 14
 
|Eternity Challenge 14
 
|
 
|
 
|-
  +
|d7
  +
(dilstudy7)
  +
|2e82
  +
|252
 
|Unlock Electrons
 
|
 
|
 
|
 
|
Line 85: Line 106:
 
|271
 
|271
 
|2.74e76
 
|2.74e76
  +
|252,d7
 
|You can buy beyond 1ms interval upgrades but the cost starts to increase faster.
 
|You can buy beyond 1ms interval upgrades but the cost starts to increase faster.
 
|Studies from this row on can only be seen if you [[quantum]]ed at least once.
 
|Studies from this row on can only be seen if you [[quantum]]ed at least once.
Line 91: Line 113:
 
|272
 
|272
 
|2.74e76
 
|2.74e76
  +
|252,d7
 
|Pick all paths on all 3-way splits in time studies.
 
|Pick all paths on all 3-way splits in time studies.
 
|
 
|
Line 97: Line 120:
 
|273
 
|273
 
|2.74e76
 
|2.74e76
  +
|252,d7
|Replicate chance is massively increased.
+
|Replicate chance boosts itself.
 
|
 
|
 
|2x
 
|2x
Line 103: Line 127:
 
|281
 
|281
 
|6.86e76
 
|6.86e76
  +
|271/272
 
|Replicanti multiplier boosts DT production at a greatly reduced rate.
 
|Replicanti multiplier boosts DT production at a greatly reduced rate.
 
|10<sup>((log10(Replicanti multiplier)^0.25)/10)</sup>
 
|10<sup>((log10(Replicanti multiplier)^0.25)/10)</sup>
 
|4x
 
|4x
|-
 
|d8 (dilstudy8)
 
|2e84, 1.69e4 electrons
 
|Unlock Quantum Challenges
 
|
 
|
 
 
|-
 
|-
 
|282
 
|282
 
|6.86e76
 
|6.86e76
  +
|272/273
 
|Replicanti multiplier boosts Meta Dimensions at a greatly reduced rate.
 
|Replicanti multiplier boosts Meta Dimensions at a greatly reduced rate.
 
|10<sup>((log10(Replicanti multiplier)^0.25)/15)</sup>
 
|10<sup>((log10(Replicanti multiplier)^0.25)/15)</sup>
 
|4x
 
|4x
 
|-
 
|d8 (dilstudy8)
 
|2e84, 16,750 electrons
  +
|272
 
|Unlock Quantum Challenges
 
|
 
|
 
|-
 
|-
 
|d9 (dilstudy9)
 
|d9 (dilstudy9)
 
|4e85, QC8 completed
 
|4e85, QC8 completed
 
|
 
|Unlock Paired Challenges
 
|Unlock Paired Challenges
 
|
 
|
Line 127: Line 155:
 
|291
 
|291
 
|2.14e77
 
|2.14e77
  +
|272,d9
 
|You gain 1% of your EP gained on eternity each second.
 
|You gain 1% of your EP gained on eternity each second.
 
|This section of mastery studies will unlock when you unlock paired challenges.
 
|This section of mastery studies will unlock when you unlock paired challenges.
Line 133: Line 162:
 
|292
 
|292
 
|2.14e77
 
|2.14e77
  +
|272,d9
 
|You can gain tachyon particles without disabling dilation.
 
|You can gain tachyon particles without disabling dilation.
 
|
 
|
Line 139: Line 169:
 
|301
 
|301
 
|4.29e77
 
|4.29e77
  +
|291
|Remote cost scaling starts 1 galaxy later per 4.45 extra replicated galaxies.
+
|Remote cost scaling starts 1 galaxy later per 4.15 extra replicated galaxies.
 
|
 
|
 
|2x
 
|2x
Line 145: Line 176:
 
|302
 
|302
 
|2.68e78
 
|2.68e78
  +
|272,d9
 
|Pick all time studies before mastery studies.
 
|Pick all time studies before mastery studies.
 
|Allows you to buy all the time studies up to 241 (the game will automatically buy them for you).
 
|Allows you to buy all the time studies up to 241 (the game will automatically buy them for you).
 
|131,072x
 
|131,072x
|-
 
|d10 (dilstudy10)
 
|4e87, PC4 completed
 
|Unlock Replicants
 
|
 
|
 
 
|-
 
|-
 
|303
 
|303
 
|4.29e77
 
|4.29e77
  +
|292
 
|Meta Dimensions are stronger based on your galaxies.
 
|Meta Dimensions are stronger based on your galaxies.
 
|4.7<sup>(log10(max((Galaxies),1))^1.5)</sup>
 
|4.7<sup>(log10(max((Galaxies),1))^1.5)</sup>
Line 163: Line 190:
 
|311
 
|311
 
|4.29e77
 
|4.29e77
  +
|291
 
|Replicanti multiplier to Infinity Dimensions is 17.3x stronger.
 
|Replicanti multiplier to Infinity Dimensions is 17.3x stronger.
 
|
 
|
Line 169: Line 197:
 
|312
 
|312
 
|4.29e77
 
|4.29e77
  +
|292
 
|Meta-dimension boosts are 4.5% stronger and costs scale by 1 less.
 
|Meta-dimension boosts are 4.5% stronger and costs scale by 1 less.
 
|
 
|
Line 175: Line 204:
 
|321
 
|321
 
|4.29e77
 
|4.29e77
  +
|291
|If the multiplier per ten dimensions does nothing, it actually multiplies dimensions by 1e430x.
+
|If the multiplier per ten dimensions is 1x,then change it to 1e430x.
 
|Originally: If not dilated, replicanti greatly boosts Normal Dimensions as 1200x strong.
 
|Originally: If not dilated, replicanti greatly boosts Normal Dimensions as 1200x strong.
 
|2x
 
|2x
 
|-
 
|323
 
|4.29e77
  +
|292
 
|Cancel dilation penalty for Normal Dimensions boost from replicanti.
 
|
 
|2x
 
|-
 
|d10 (dilstudy10)
 
|4e87, PC4 completed
  +
|302
  +
|Unlock Replicants
 
|
 
|
 
|-
 
|-
 
|322
 
|322
 
|4.29e77
 
|4.29e77
  +
|302,d10
 
|Tickspeed boosts DT production at a greatly reduced rate.
 
|Tickspeed boosts DT production at a greatly reduced rate.
 
|Studies from this row on can only be seen if you have unlocked [[Replicants]].
 
|Studies from this row on can only be seen if you have unlocked [[Replicants]].
Line 190: Line 235:
   
 
The result is 10^(i or i<sub>2</sub>)
 
The result is 10^(i or i<sub>2</sub>)
|2x
 
|-
 
|323
 
|4.29e77
 
|Cancel dilation penalty for Normal Dimensions boost from replicanti.
 
|
 
 
|2x
 
|2x
 
|-
 
|-
 
|331
 
|331
 
|3.41e81
 
|3.41e81
  +
|322
 
|Dimension Supersonic scaling start 340,000 later and increases cost slower by 3 less.
 
|Dimension Supersonic scaling start 340,000 later and increases cost slower by 3 less.
 
|
 
|
Line 206: Line 246:
 
|332
 
|332
 
|9.04e76
 
|9.04e76
  +
|322
 
|You gain replicanti faster based on your normal galaxies.
 
|You gain replicanti faster based on your normal galaxies.
  +
|((Normal Galaxies)+1)
|
 
 
|2x
 
|2x
 
|-
 
|-
 
|341
 
|341
 
|1.93e81
 
|1.93e81
  +
|342
 
|Preons boost DT production at reduced rate.
 
|Preons boost DT production at reduced rate.
 
|2<sup>log10(sqrt((Replicant quarks)+1))</sup>
 
|2<sup>log10(sqrt((Replicant quarks)+1))</sup>
Line 218: Line 260:
 
|342
 
|342
 
|2.89e81
 
|2.89e81
  +
|331
 
|All replicanti galaxies are stronger and use the same formula.
 
|All replicanti galaxies are stronger and use the same formula.
 
|
 
|
Line 224: Line 267:
 
|343
 
|343
 
|7.54e78
 
|7.54e78
  +
|332
 
|Free galaxies are as strong as a normal replicated galaxy.
 
|Free galaxies are as strong as a normal replicated galaxy.
 
|
 
|
Line 230: Line 274:
 
|344
 
|344
 
|5.02e78
 
|5.02e78
  +
|343
 
|Replicated galaxies are more effective based on your preons.
 
|Replicated galaxies are more effective based on your preons.
 
|1+0.17(log10(1+((Replicant quarks)/1e7))<sup>0.25</sup>)
 
|1+0.17(log10(1+((Replicant quarks)/1e7))<sup>0.25</sup>)
Line 236: Line 281:
 
|351
 
|351
 
|1.21e80
 
|1.21e80
  +
|344
 
|Time Shards boosts all Meta Dimensions.
 
|Time Shards boosts all Meta Dimensions.
 
|(Time shards)<sup>1.4e-8</sup>
 
|(Time shards)<sup>1.4e-8</sup>
Line 242: Line 288:
 
|d11 (dilstudy11)
 
|d11 (dilstudy11)
 
|3e90, 10 worker replicants
 
|3e90, 10 worker replicants
  +
|344
 
|Unlock Emperor Dimensions
 
|Unlock Emperor Dimensions
 
|
 
|
Line 248: Line 295:
 
|361
 
|361
 
|1.59e79
 
|1.59e79
  +
|351,d11
 
|Hatch speed is faster based on your tachyon particles.
 
|Hatch speed is faster based on your tachyon particles.
 
|Studies from this row on can only be seen if you have unlocked [[Emperor Dimensions]].
 
|Studies from this row on can only be seen if you have unlocked [[Emperor Dimensions]].
Line 257: Line 305:
 
|362
 
|362
 
|1.59e79
 
|1.59e79
  +
|351,d11
 
|Reduce the softcap for replicant quark boost.
 
|Reduce the softcap for replicant quark boost.
 
|
 
|
Line 263: Line 312:
 
|371
 
|371
 
|2.12e79
 
|2.12e79
  +
|361
 
|Hatch speed is faster based on your extra replicated galaxies.
 
|Hatch speed is faster based on your extra replicated galaxies.
 
|(1+(Extra replicated galaxies))<sup>0.3</sup>
 
|(1+(Extra replicated galaxies))<sup>0.3</sup>
|1x
+
|2x
 
|-
 
|-
 
|372
 
|372
 
|6.62e79
 
|6.62e79
  +
|371
 
|Hatch speed is faster based on your time shards.
 
|Hatch speed is faster based on your time shards.
 
|1+(sqrt(log10(1+(Time shards)))/20)
 
|1+(sqrt(log10(1+(Time shards)))/20)
Line 275: Line 326:
 
|373
 
|373
 
|2.12e79
 
|2.12e79
  +
|362
 
|Replicants gather more quarks based on your galaxies.
 
|Replicants gather more quarks based on your galaxies.
 
|(1+(Extra replicated galaxies))<sup>0.55</sup>
 
|(1+(Extra replicated galaxies))<sup>0.55</sup>
|1x
+
|2x
 
|-
 
|-
 
|381
 
|381
 
|6.62e79
 
|6.62e79
  +
|371
 
|Hatch speed is faster based on your tickspeed reduction multiplier.
 
|Hatch speed is faster based on your tickspeed reduction multiplier.
 
|1+(log10(Tickspeed reduction)/(-135))
 
|1+(log10(Tickspeed reduction)/(-135))
Line 287: Line 340:
 
|382
 
|382
 
|6.62e79
 
|6.62e79
  +
|383
 
|Eighth Dimensions boost Meta Dimensions.
 
|Eighth Dimensions boost Meta Dimensions.
 
|(Eighth Dimensions)<sup>3.14159265...</sup>
 
|(Eighth Dimensions)<sup>3.14159265...</sup>
Line 293: Line 347:
 
|383
 
|383
 
|6.62e79
 
|6.62e79
  +
|373
 
|Blue power boosts Meta Dimensions.
 
|Blue power boosts Meta Dimensions.
 
|3200<sup>log10(1+(Blue power))^0.25</sup>
 
|3200<sup>log10(1+(Blue power))^0.25</sup>
Line 299: Line 354:
 
|391
 
|391
 
|8.28e79
 
|8.28e79
  +
|381
 
|Hatch speed is faster based on your meta-antimatter.
 
|Hatch speed is faster based on your meta-antimatter.
 
|(Meta-antimatter)<sup>8e-4</sup>
 
|(Meta-antimatter)<sup>8e-4</sup>
Line 305: Line 361:
 
|392
 
|392
 
|8.28e79
 
|8.28e79
  +
|391/393
 
|Gathered quarks boost all Emperor Dimensions.
 
|Gathered quarks boost all Emperor Dimensions.
 
|1.6<sup>sqrt(log10(1+(Replicant quarks)))</sup>
 
|1.6<sup>sqrt(log10(1+(Replicant quarks)))</sup>
  +
|1x
 
|-
  +
|393
  +
|8.28e79
  +
|383
 
|Workers boost Meta Dimensions.
  +
|400000<sup>sqrt(log10(1+(Workers)))</sup>
 
|1x
 
|1x
 
|-
 
|-
 
|d12 (dilstudy12)
 
|d12 (dilstudy12)
 
|3e92, 10 ED8
 
|3e92, 10 ED8
  +
|392
 
|Unlock Nanofield
 
|Unlock Nanofield
 
|
 
|
 
|
 
|
 
|-
 
|-
|393
+
|401
|8.28e79
+
|4.97e80
  +
|392,d12
|Workers boost Meta Dimensions.
 
 
|The production of preon anti-energy is slower based on your preons.
 
|This section of mastery studies will unlock when you unlock Nanofield.
 
|This section of mastery studies will unlock when you unlock Nanofield.
 
--
 
--
   
400000<sup>sqrt(log10(1+(Workers)))</sup>
+
(1+(preons)/1e28)<sup>0.2</sup>
  +
|1e10x
|1x
 
|-
 
|401
 
|4.97e80
 
|The production of preon anti-energy is slower based on your preons.
 
|(1+(preons)/1e28)<sup>0.2</sup>
 
|1e20x
 
 
|-
 
|-
 
|402
 
|402
 
|8.28e80
 
|8.28e80
  +
|392,d12
 
|Emperor Dimensions and hatch speed are faster by 25x.
 
|Emperor Dimensions and hatch speed are faster by 25x.
 
|
 
|
  +
|1e10x
|1e20x
 
 
|-
 
|-
 
|411
 
|411
 
|1.32e71
 
|1.32e71
 
|401
 
|The production of preon energy is faster based on your replicants.
 
|The production of preon energy is faster based on your replicants.
 
|(1+(replicants)/1e24)<sup>0.2</sup>
 
|(1+(replicants)/1e24)<sup>0.2</sup>
Line 344: Line 406:
 
|412
 
|412
 
|1.66e71
 
|1.66e71
  +
|402
 
|Preon effect is 25% stronger.
 
|Preon effect is 25% stronger.
 
|
 
|
Line 350: Line 413:
 
|421
 
|421
 
|1.99e72
 
|1.99e72
  +
|411
 
|Tickspeed boosts preon energy production.
 
|Tickspeed boosts preon energy production.
 
|i = max(-log10(Tickspeed)/1e13-0.75,1)<sup>4</sup>But if i is bigger than 100, then i<sub>2</sub> = sqrt(100i)
 
|i = max(-log10(Tickspeed)/1e13-0.75,1)<sup>4</sup>But if i is bigger than 100, then i<sub>2</sub> = sqrt(100i)
Line 355: Line 419:
 
The result is i or i<sub>2</sub>
 
The result is i or i<sub>2</sub>
 
|1x
 
|1x
 
|-
 
|d13 (dilstudy13)
 
|1e95, 16 nanofield rewards
  +
|402/411
 
|Unlock Tree of Decay
  +
|
  +
|
 
|-
 
|-
 
|431
 
|431
 
|1.10e75
 
|1.10e75
  +
|402/411,d13
 
|Branches are faster based on your free galaxies.
 
|Branches are faster based on your free galaxies.
 
|(x/10000)<sup>x/10000+log10(x)/2</sup>x
 
|(x/10000)<sup>x/10000+log10(x)/2</sup>x
 
x can be increased by getting a Light Empowerment. (See [[Ghostly Photons]])
 
x can be increased by getting a Light Empowerment. (See [[Ghostly Photons]])
 
|1x
 
|1x
|-
 
|d13 (dilstudy13)
 
|1e95, 16 nanofield rewards
 
|Unlock Tree of Decay
 
|
 
|
 
 
|-
 
|-
 
|d14 (dilstudy14)
 
|d14 (dilstudy14)
 
|1e98, [[Achievements|The Challenging Day]]
 
|1e98, [[Achievements|The Challenging Day]]
  +
|431
 
|Unlock Big Rip
 
|Unlock Big Rip
 
|
 
|

Revision as of 14:34, 5 December 2019

NG+3
GuideNG+3R GuideChangelogModsTerminology
Post-Eternity AchievementsEternity MilestonesEternity ChallengesTime DilationMeta DimensionsMastery Studies
Quantum QuantumElectronsQuantum ChallengesReplicantsEmperor DimensionsNanofieldTree of DecayBig RipBreak Eternity
Ghostify GhostifyNeutrinosAutomator GhostsGhostly PhotonsBosonic Lab
Upcoming Higgs FieldBadgesRediscoveryExtra Challenges
Mastery Studies-1

The Mastery Studies tree (as of Emperor Dimensions update)

Mastery Studies are a feature briefly added in NG++ , and continued in NG+++. They are similar to Time Studies, but for every Mastery Studies you buy, all of the other Mastery Studies prices get multiplied(all dilation studies not affect Mastery studies cost multiplier).To unlock Mastery Studies, you need to buy the "Unlock Meta Dimensions" for 1e24 Time Theorems and have the 1e100 dilated time upgrade.

List of Mastery Studies

Study Number Base Cost (in Time Theorems) Need studies Description Details Multiplier on Prices
241 1e71 - The IP mult multiplier IP gain by 2.2x per upgrade These will no longer active if you have 4 GB gluon upgrade 1x
251 2e71 241 Remote cost scaling starts 1 galaxy later per 3,000 dimension boosts. 2.5x
252 2e71 241 Remote cost scaling starts 1 galaxy later per 7 free galaxies. 2.5x
253 2e71 241 Remote cost scaling starts 20 galaxies later per 9 extra replicated galaxies. 2.5x
261 5e71 251 Dimensional boost costs scale by another 1 less. these will access eternity challenge 13 6x
262 5e71 251 Dimensional boosts affect Meta Dimensions at a reduced rate. max(((Dimensional boosts)/15000-19),1) 6x
263 5e71 252 Meta-dimension boosts affect dilated time production. (Meta-dimension boosts)+1 6x
264 5e71 252 You gain more tachyon particles based on your galaxies. 2*(((Galaxies)+1)0.25 6x
265 5e71 253 You can buy replicate chance intervals over 100%. these will access eternity challenge 14 6x
266 5e71 253 Post-400 max replicated galaxy cost scaling reduced. 6x
e13 1e72 Eternity Challenge 13
e14 1e72 Eternity Challenge 14
d7

(dilstudy7)

2e82 252 Unlock Electrons
271 2.74e76 252,d7 You can buy beyond 1ms interval upgrades but the cost starts to increase faster. Studies from this row on can only be seen if you quantumed at least once. 2x
272 2.74e76 252,d7 Pick all paths on all 3-way splits in time studies. 2x
273 2.74e76 252,d7 Replicate chance boosts itself. 2x
281 6.86e76 271/272 Replicanti multiplier boosts DT production at a greatly reduced rate. 10((log10(Replicanti multiplier)^0.25)/10) 4x
282 6.86e76 272/273 Replicanti multiplier boosts Meta Dimensions at a greatly reduced rate. 10((log10(Replicanti multiplier)^0.25)/15) 4x
d8 (dilstudy8) 2e84, 16,750 electrons 272 Unlock Quantum Challenges
d9 (dilstudy9) 4e85, QC8 completed Unlock Paired Challenges
291 2.14e77 272,d9 You gain 1% of your EP gained on eternity each second. This section of mastery studies will unlock when you unlock paired challenges. 1x
292 2.14e77 272,d9 You can gain tachyon particles without disabling dilation. 1x
301 4.29e77 291 Remote cost scaling starts 1 galaxy later per 4.15 extra replicated galaxies. 2x
302 2.68e78 272,d9 Pick all time studies before mastery studies. Allows you to buy all the time studies up to 241 (the game will automatically buy them for you). 131,072x
303 4.29e77 292 Meta Dimensions are stronger based on your galaxies. 4.7(log10(max((Galaxies),1))^1.5) 2x
311 4.29e77 291 Replicanti multiplier to Infinity Dimensions is 17.3x stronger. 64x
312 4.29e77 292 Meta-dimension boosts are 4.5% stronger and costs scale by 1 less. 64x
321 4.29e77 291 If the multiplier per ten dimensions is 1x,then change it to 1e430x. Originally: If not dilated, replicanti greatly boosts Normal Dimensions as 1200x strong. 2x
323 4.29e77 292 Cancel dilation penalty for Normal Dimensions boost from replicanti. 2x
d10 (dilstudy10) 4e87, PC4 completed 302 Unlock Replicants
322 4.29e77 302,d10 Tickspeed boosts DT production at a greatly reduced rate. Studies from this row on can only be seen if you have unlocked Replicants.

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i = sqrt(log10(-(Tickspeed)/10000))/20000

But if i is bigger than 110, then i2 = sqrt(27.5i)+55

The result is 10^(i or i2)

2x
331 3.41e81 322 Dimension Supersonic scaling start 340,000 later and increases cost slower by 3 less. 2x
332 9.04e76 322 You gain replicanti faster based on your normal galaxies. ((Normal Galaxies)+1) 2x
341 1.93e81 342 Preons boost DT production at reduced rate. 2log10(sqrt((Replicant quarks)+1)) 1x
342 2.89e81 331 All replicanti galaxies are stronger and use the same formula. 1x
343 7.54e78 332 Free galaxies are as strong as a normal replicated galaxy. 1x
344 5.02e78 343 Replicated galaxies are more effective based on your preons. 1+0.17(log10(1+((Replicant quarks)/1e7))0.25) 1x
351 1.21e80 344 Time Shards boosts all Meta Dimensions. (Time shards)1.4e-8 4x
d11 (dilstudy11) 3e90, 10 worker replicants 344 Unlock Emperor Dimensions
361 1.59e79 351,d11 Hatch speed is faster based on your tachyon particles. Studies from this row on can only be seen if you have unlocked Emperor Dimensions.

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(Tachyon particles)0.01824033924212366

1x
362 1.59e79 351,d11 Reduce the softcap for replicant quark boost. 1x
371 2.12e79 361 Hatch speed is faster based on your extra replicated galaxies. (1+(Extra replicated galaxies))0.3 2x
372 6.62e79 371 Hatch speed is faster based on your time shards. 1+(sqrt(log10(1+(Time shards)))/20) 2x
373 2.12e79 362 Replicants gather more quarks based on your galaxies. (1+(Extra replicated galaxies))0.55 2x
381 6.62e79 371 Hatch speed is faster based on your tickspeed reduction multiplier. 1+(log10(Tickspeed reduction)/(-135)) 1x
382 6.62e79 383 Eighth Dimensions boost Meta Dimensions. (Eighth Dimensions)3.14159265... 1x
383 6.62e79 373 Blue power boosts Meta Dimensions. 3200log10(1+(Blue power))^0.25 2x
391 8.28e79 381 Hatch speed is faster based on your meta-antimatter. (Meta-antimatter)8e-4 1x
392 8.28e79 391/393 Gathered quarks boost all Emperor Dimensions. 1.6sqrt(log10(1+(Replicant quarks))) 1x
393 8.28e79 383 Workers boost Meta Dimensions. 400000sqrt(log10(1+(Workers))) 1x
d12 (dilstudy12) 3e92, 10 ED8 392 Unlock Nanofield
401 4.97e80 392,d12 The production of preon anti-energy is slower based on your preons. This section of mastery studies will unlock when you unlock Nanofield.

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(1+(preons)/1e28)0.2

1e10x
402 8.28e80 392,d12 Emperor Dimensions and hatch speed are faster by 25x. 1e10x
411 1.32e71 401 The production of preon energy is faster based on your replicants. (1+(replicants)/1e24)0.2 1x
412 1.66e71 402 Preon effect is 25% stronger. 1x
421 1.99e72 411 Tickspeed boosts preon energy production. i = max(-log10(Tickspeed)/1e13-0.75,1)4But if i is bigger than 100, then i2 = sqrt(100i)

The result is i or i2

1x
d13 (dilstudy13) 1e95, 16 nanofield rewards 402/411 Unlock Tree of Decay
431 1.10e75 402/411,d13 Branches are faster based on your free galaxies. (x/10000)x/10000+log10(x)/2x

x can be increased by getting a Light Empowerment. (See Ghostly Photons)

1x
d14 (dilstudy14) 1e98, The Challenging Day 431 Unlock Big Rip

Trivia

  • "The Theory of Ultimate Studies" achievement can be unlocked by buying 45 total mastery studies. This makes you start Ghostifies with all Time Studies and all Mastery Studies unlocked.