1 00:00:00,000 --> 00:00:03,416 >> [MUSIC PLAYING] 2 00:00:03,416 --> 00:00:05,860 3 00:00:05,860 --> 00:00:08,180 >> BRAIN SCASSELLATI: Welcome CS50 AI ad series. 4 00:00:08,180 --> 00:00:12,600 Scass nomen meum, quod hodie itis loqui de recommender ratio. 5 00:00:12,600 --> 00:00:15,780 Nunc recommender systems sonis huiusmodi nomina imparium. 6 00:00:15,780 --> 00:00:18,630 Sonat sicut maybe debet commendationem esse ratio, 7 00:00:18,630 --> 00:00:21,290 et genus adsentior. 8 00:00:21,290 --> 00:00:26,110 Sed haec ratio auxilium lego de similibus quoties 9 00:00:26,110 --> 00:00:28,210 vos lego aliquid online. 10 00:00:28,210 --> 00:00:32,119 Netflix, puta suggeret aliis vos vires volo ut vigilo movies. 11 00:00:32,119 --> 00:00:36,660 Aut Pandora suggeret different carmina audire velis. 12 00:00:36,660 --> 00:00:40,940 Amazon suggeret quales aliorum emere possis. 13 00:00:40,940 --> 00:00:43,520 Facebook etiam suadeant nonnulli ceterorum quoque amicorum 14 00:00:43,520 --> 00:00:45,440 ut tu vis addere. 15 00:00:45,440 --> 00:00:49,800 Utrumque autem horum ratio operari usura idem genus basic algorithm, 16 00:00:49,800 --> 00:00:52,520 et ut 'quid sumus iens loqui de in præsentem diem. 17 00:00:52,520 --> 00:00:56,860 >> Porro filiis Aaron hae sunt algorithms mire magnus negotii. 18 00:00:56,860 --> 00:01:01,130 Netflix paucis abhinc annis in MMIX offertur a $ I million 19 00:01:01,130 --> 00:01:07,240 praemium, si posses eorum emendaverunt commendationem system iusto X%. 20 00:01:07,240 --> 00:01:11,960 X% qui tamen repraesentat substantialis amount of negotium. 21 00:01:11,960 --> 00:01:15,330 Aestimationes sunt difficilia veniant, sed multos populos 22 00:01:15,330 --> 00:01:19,050 Credo quod haec commendatio systemata pro an online acquisitionem 23 00:01:19,050 --> 00:01:25,729 ratio quasi Amazon inducent alicubi Inter X% XXV% augeri et commodo. 24 00:01:25,729 --> 00:01:27,770 Sic vos can imaginari genus volumen es 25 00:01:27,770 --> 00:01:32,860 loquitur quando cogitamus de etiam his pusillis algorithms. 26 00:01:32,860 --> 00:01:35,200 >> Sic exempla sumamus. 27 00:01:35,200 --> 00:01:38,460 Quam ob rem haec systems vere opus? 28 00:01:38,460 --> 00:01:40,773 Sunt duo basic genera algorithms quod 29 00:01:40,773 --> 00:01:45,050 qui loquuntur cum ludentibus generantis commendatione. 30 00:01:45,050 --> 00:01:48,650 Primi vocantur content fundatur filtering. 31 00:01:48,650 --> 00:01:53,410 Et contentus fundatur filtering innititur super similitudine inter items 32 00:01:53,410 --> 00:02:00,370 se, quod inter duas movies supervixerit vel duobus supervixerit vel duobus carminibus emit items. 33 00:02:00,370 --> 00:02:03,190 Nos erant 'iens uti movies ut pro exemplo, sed 34 00:02:03,190 --> 00:02:07,850 possit realiter alicui type autem quaeritis obiiciunt. 35 00:02:07,850 --> 00:02:13,330 >> Si igitur cogitare de aliqua movies ab ultimo anno, 36 00:02:13,330 --> 00:02:16,799 Vidi cum Inside Out mea haedos et dilexit illud. 37 00:02:16,799 --> 00:02:17,840 Sed et voluissent. 38 00:02:17,840 --> 00:02:21,350 Possemus ivisse Minions videre, possemus videri Age of Ultron, 39 00:02:21,350 --> 00:02:24,850 aut possemus vidistis Ant Man obsequium in theatris agebantur. 40 00:02:24,850 --> 00:02:27,580 >> Nam quicquid aliud dare voluerint movies, si imaginemur 41 00:02:27,580 --> 00:02:33,320 generando list aut habitum oris lineamentaque intueri de illis aliter movies qualitates. 42 00:02:33,320 --> 00:02:37,190 Sicut pro exemplo considerare potui movies quod eorum esse animata. 43 00:02:37,190 --> 00:02:39,960 Bene, utrumque Inside Out et Minions animantur. 44 00:02:39,960 --> 00:02:44,140 Nec Age of Ultron neque Ant hominis sunt animata movies. 45 00:02:44,140 --> 00:02:47,040 Et possem imaginari aedificii in structura, quae tabula 46 00:02:47,040 --> 00:02:49,440 libros singulis harum proprietatum. 47 00:02:49,440 --> 00:02:51,790 Sunt animata, an non? 48 00:02:51,790 --> 00:02:54,780 Potui deinde addat features ad hanc monstrabunt mensam 49 00:02:54,780 --> 00:02:58,380 addendo more ordines in tali structura. 50 00:02:58,380 --> 00:03:00,970 Possem querere an non haerent mirari movies. 51 00:03:00,970 --> 00:03:04,010 Bene, Inside Out et Minions non mireris movies, 52 00:03:04,010 --> 00:03:06,715 Aetate et Ultron Ant homo certe. 53 00:03:06,715 --> 00:03:09,100 >> Et percunctari posset quaelibet diversarum qualitatum 54 00:03:09,100 --> 00:03:12,080 quod volui, habitum oris lineamentaque intueri quaelibet quod esset ad me. 55 00:03:12,080 --> 00:03:13,440 Habent eximius furcifer? 56 00:03:13,440 --> 00:03:16,700 Sed in nulla eximius villain Intus Egressi sunt illi qui in vero Minions 57 00:03:16,700 --> 00:03:19,990 et in quippe duo superhero movies. 58 00:03:19,990 --> 00:03:23,900 >> Ego quaero huiusmodi bene do tramittunt Bechdel test? 59 00:03:23,900 --> 00:03:27,280 Sunt duo nomina femina ingenia qui 60 00:03:27,280 --> 00:03:30,550 erogare inde aliquid significant amount of tempus habens colloquium quod 61 00:03:30,550 --> 00:03:34,400 non inducit homines missus est? 62 00:03:34,400 --> 00:03:39,870 Sed hic de intus exit cognoscam experimentum vestrum Minions deficit, Age of Ultron 63 00:03:39,870 --> 00:03:42,990 probatus, et non homo Ant. 64 00:03:42,990 --> 00:03:45,020 Quidquid horum discusserimus features Potui cogitare 65 00:03:45,020 --> 00:03:48,660 quod quidam amet. 66 00:03:48,660 --> 00:03:52,000 >> Poteram et ego similia sunt petieritis In movies quod aliqui 67 00:03:52,000 --> 00:03:57,190 Sunt qui de alumni nimirum et Parks Otium, unum maxime probat. 68 00:03:57,190 --> 00:04:00,540 Bene, Inside Out habet Amy Poehler quod suus Alumni. 69 00:04:00,540 --> 00:04:01,530 Qui numerat. 70 00:04:01,530 --> 00:04:04,110 Jon Hamm erat in Minions. 71 00:04:04,110 --> 00:04:08,600 Paulus Rudd erat in Ant hominis, sed nemo in Age of Ultron erat in Parks et mures 72 00:04:08,600 --> 00:04:10,150 etiam. 73 00:04:10,150 --> 00:04:12,990 Et hoc album ædificet features et non potuerunt erantque realiter 74 00:04:12,990 --> 00:04:14,710 esse aliquid circa ipsum. 75 00:04:14,710 --> 00:04:17,329 Non potuerunt esse quod rationem sunt ratio glande, 76 00:04:17,329 --> 00:04:21,630 possit quot cathedras vendidit in foramen weekend. 77 00:04:21,630 --> 00:04:25,630 Quidquid quod volo generare potest poni in hanc monstrabunt mensam. 78 00:04:25,630 --> 00:04:29,600 >> In hoc ipso aedificavi omnem Bullionaeo valores, 79 00:04:29,600 --> 00:04:33,700 necne transeam vel deficere, sed non potuerunt esse aliquid. 80 00:04:33,700 --> 00:04:36,690 Non poterant esse arbitraria valores. 81 00:04:36,690 --> 00:04:39,070 Nam contentus fundatur filtering, Quid erant 'iens ut facere 82 00:04:39,070 --> 00:04:42,810 is erant 'iens considerare venistis columnas binas conlocantes hanc monstrabunt mensam 83 00:04:42,810 --> 00:04:45,660 quomodo similia sunt. 84 00:04:45,660 --> 00:04:48,640 Ut pro exemplo, si exierunt autem videre Inside Out, 85 00:04:48,640 --> 00:04:53,640 Ego quaero, quid aliae movies ut vultis ire videas. 86 00:04:53,640 --> 00:04:56,890 Hoc est, quod volunt expendere pecuniam meam ad videndum. 87 00:04:56,890 --> 00:05:00,310 Et hoc possumus sumentis columnas duas ex se intra 88 00:05:00,310 --> 00:05:03,300 et unus ex aliqua aliis movies, et justum videns 89 00:05:03,300 --> 00:05:06,210 quot vultus par. 90 00:05:06,210 --> 00:05:09,660 Si ergo similes dicam Inside Out cum Minions, bene illic ' 91 00:05:09,660 --> 00:05:10,910 Tria hic inserere. 92 00:05:10,910 --> 00:05:16,200 Sunt ambo, neutrum Nolite mirari movies sunt, et ex utraque parte 93 00:05:16,200 --> 00:05:18,420 Parks sunt mures et alumni. 94 00:05:18,420 --> 00:05:20,420 Sic etenim enumerare sufficiat quomodo multorum matches falsorum numerositate muniendam, 95 00:05:20,420 --> 00:05:22,640 et sic tres digereret. 96 00:05:22,640 --> 00:05:26,450 >> Si ergo comparentur Inside Out cum lets 'narro Age of Ultron, 97 00:05:26,450 --> 00:05:28,430 Possum despiciunt album et dices ad bene illic 98 00:05:28,430 --> 00:05:30,140 Unum est quod non congruit. 99 00:05:30,140 --> 00:05:34,560 Videruntque ambo Bechtel test transire, ita quod suus 'iens ut uno nomine. 100 00:05:34,560 --> 00:05:36,770 Et inter Inside Out et Ant hominis, iterum 101 00:05:36,770 --> 00:05:41,420 linea recta conferas quot quae inter se paria. 102 00:05:41,420 --> 00:05:43,060 Bene, suus 'unus animata, suus non unum. 103 00:05:43,060 --> 00:05:44,970 Mirari se a movie unum non est. 104 00:05:44,970 --> 00:05:47,280 Quod got a superessentialem sceleratur, alterum non. 105 00:05:47,280 --> 00:05:49,480 Unum transit Bechtel test, quod unum reliquum, 106 00:05:49,480 --> 00:05:54,450 sed utrique Parks et mures alumni, ita quoque fit a viginti unius. 107 00:05:54,450 --> 00:05:58,300 >> Si igitur quaerebant movies Et simile est intra, 108 00:05:58,300 --> 00:06:02,170 Pro quibus possem movies summa score in this content 109 00:06:02,170 --> 00:06:03,952 filtering ratio. 110 00:06:03,952 --> 00:06:05,660 Sic in hoc casu, I dato cogitaturum Minions 111 00:06:05,660 --> 00:06:08,330 propius et plus uerisimile esse aliquid 112 00:06:08,330 --> 00:06:13,250 ut videre sumptum quam Age of Man Ultron vel Ant. 113 00:06:13,250 --> 00:06:16,150 >> His contentus fundatur filtering ratio inniti iustus 114 00:06:16,150 --> 00:06:18,670 a proprietatibus movies, et sic 115 00:06:18,670 --> 00:06:21,930 potest aedificare haec iusta cognoscendo aliquid de products 116 00:06:21,930 --> 00:06:23,500 quoniam tristitia est mihi. 117 00:06:23,500 --> 00:06:26,050 EGO can utor quaelibet features quod ego youd 'amo, 118 00:06:26,050 --> 00:06:28,400 et possum vitandos aedificent ut complexu features 119 00:06:28,400 --> 00:06:33,060 involvat magis intricatae test qualis est meo. 120 00:06:33,060 --> 00:06:39,080 Quin etiam hanc mensam non quod sit obiectum static, 121 00:06:39,080 --> 00:06:43,110 sed potius quod sit dimensiones intra spatium maius statum. 122 00:06:43,110 --> 00:06:46,295 Et can satus loquitur de intervallis diversis movies. 123 00:06:46,295 --> 00:06:49,300 124 00:06:49,300 --> 00:06:51,050 Haec sunt omnia quod scimus quomodo 125 00:06:51,050 --> 00:06:55,860 facere usura genera notitia structurae ut iam videatur CS50. 126 00:06:55,860 --> 00:06:59,180 Sic possem imaginari aedificii a notitia structura elit. 127 00:06:59,180 --> 00:07:02,390 Est quod Ive struct construi movie dicitur, 128 00:07:02,390 --> 00:07:04,369 et habet Boolean quinque entries in ea. 129 00:07:04,369 --> 00:07:07,160 Est animatum, est a mirari movie habet eximius nequissimus 130 00:07:07,160 --> 00:07:11,047 facit transire Bechdel experiundae causa, et Parks sunt alumni et Rec sanctissimam iudicarint? 131 00:07:11,047 --> 00:07:12,880 Et utrumque horum est notitia structura ut 132 00:07:12,880 --> 00:07:16,330 illa particularis optinere possit elit. 133 00:07:16,330 --> 00:07:20,090 >> Computet utrum duo movies sunt similes vel non, 134 00:07:20,090 --> 00:07:23,330 quid score potui perscribere a paro of pseudocode quod 135 00:07:23,330 --> 00:07:25,120 quod generat eumdem actum habent. 136 00:07:25,120 --> 00:07:30,100 Hoc est, datur aliquod movie M1 possum invenire simillima movie ei 137 00:07:30,100 --> 00:07:32,430 sequendo pseudocode. 138 00:07:32,430 --> 00:07:37,040 Existimo enim quod est optimum scoring ratio inveni, 139 00:07:37,040 --> 00:07:39,920 Inveni optimum comparatio. 140 00:07:39,920 --> 00:07:41,890 Pro omni alio movie Ego transiverit, 141 00:07:41,890 --> 00:07:44,920 Ponam viginti parem = 0. 142 00:07:44,920 --> 00:07:47,920 Et quidem ego ibo per quod movie, an M1 elit 143 00:07:47,920 --> 00:07:51,500 Coepi cum frangam omnibus et singulis pluma 144 00:07:51,500 --> 00:07:53,650 quod habent ad videndum et si ingruerit contra parem. 145 00:07:53,650 --> 00:07:56,460 Si par est, ibo increment par ustulo. 146 00:07:56,460 --> 00:08:00,480 Ac si par in finem quod quaedam Ego pronuntio quod melior current optimum 147 00:08:00,480 --> 00:08:03,310 score, si faxis memento quod optimum score, 148 00:08:03,310 --> 00:08:05,820 quod optimis par mea. 149 00:08:05,820 --> 00:08:09,450 At finis, qualiscumque movie sedet in optimis par, 150 00:08:09,450 --> 00:08:12,580 quod suus 'artissimum Ego venire potuisset. 151 00:08:12,580 --> 00:08:14,890 Ita et hi content fundatur filtering ratio, 152 00:08:14,890 --> 00:08:16,900 omnes habent fundamentum. 153 00:08:16,900 --> 00:08:20,910 Sed confidunt super item et nihil in quaestione 154 00:08:20,910 --> 00:08:24,590 quacumque libido utentis. 155 00:08:24,590 --> 00:08:29,010 >> Alterum quod machinae utimur ordinem aedificare commendationem systems 156 00:08:29,010 --> 00:08:31,790 dicitur collaborative filtering. 157 00:08:31,790 --> 00:08:36,520 Collaborative filtering innititur qualitates non re ipsa, 158 00:08:36,520 --> 00:08:40,010 sed quomodo populum alterum users quomodo scilicet habent 159 00:08:40,010 --> 00:08:43,370 ad haec eadem obiecta. 160 00:08:43,370 --> 00:08:48,720 Sic continuare cum movie exemplum, E meis amicis antistans mihi illam assumerem fasciculum 161 00:08:48,720 --> 00:08:53,180 et lustra eis quantum iactus necne non vellent particulari movies. 162 00:08:53,180 --> 00:08:56,560 Nunc diversis locis quemvis generet; in hoc data diversisque itineribus iretur. 163 00:08:56,560 --> 00:08:59,630 Te potest directe lustrare your users, vel vos could iustus 164 00:08:59,630 --> 00:09:03,120 vides tu quid isti si sumo tu enim Netflix. 165 00:09:03,120 --> 00:09:05,640 Ipsi enim pervigilant movies quod fecit? 166 00:09:05,640 --> 00:09:08,670 >> I ut interrogarent de meo et perscrutabantur amicos hic 167 00:09:08,670 --> 00:09:12,910 Iason probaverunt omnis movie vidit, non mirum est. 168 00:09:12,910 --> 00:09:15,590 Andy solum amabat Minions et matertera Man. 169 00:09:15,590 --> 00:09:19,330 Sarah probaverunt et Inside Out Vindices contraria Flaccus. 170 00:09:19,330 --> 00:09:22,200 Sam et bene Sam probaverunt omnes movies superhero, 171 00:09:22,200 --> 00:09:24,960 nemo animati ipsum. 172 00:09:24,960 --> 00:09:30,630 >> Potui nova aliqua query individuum, alio user similis mei 173 00:09:30,630 --> 00:09:34,520 et quaero, si Amabam unum ex istis movies, 174 00:09:34,520 --> 00:09:38,600 num potes praedictionem de Ut ut quam pelliculis aliis. 175 00:09:38,600 --> 00:09:41,890 Quod si intra Amabam , Quae aliis movies 176 00:09:41,890 --> 00:09:48,460 ego amo etiam volo video vidi visum ex quibus illi similes? 177 00:09:48,460 --> 00:09:51,640 Quod per ibo Ego spurcamen per hoc list 178 00:09:51,640 --> 00:09:54,520 et invenietis iustus individua qui etiam probaverunt 179 00:09:54,520 --> 00:09:57,680 Inside Out defluxit, qui ut mihi preferences. 180 00:09:57,680 --> 00:10:00,824 Bene quod et Flaccus Sam non intus quaeso, 181 00:10:00,824 --> 00:10:02,240 Im 'non iens ut existimem. 182 00:10:02,240 --> 00:10:06,130 Im 'iens impetro rid of eorum data enim haec comparatio. 183 00:10:06,130 --> 00:10:09,750 >> Intueamur ergo possum laso Quæ risit occulte cogitatio et talliam 184 00:10:09,750 --> 00:10:13,780 Quem cum vidissent eum movies inquam, utrum vellent eis 185 00:10:13,780 --> 00:10:15,150 aut non. 186 00:10:15,150 --> 00:10:17,820 Quemadmodum potui numerare, lets dicunt suffragia. 187 00:10:17,820 --> 00:10:23,360 Ita Minions, puta haberent eligendam, quia Jason illius. 188 00:10:23,360 --> 00:10:27,170 Et Iason et Sarah probaverunt Vindices, sic habeat duas voces. 189 00:10:27,170 --> 00:10:30,700 Et tantum Jason probaverunt Ant hominis, sic unum suffragium ineunt. 190 00:10:30,700 --> 00:10:34,870 Ita ut si certo cognovero conpletam igitur suadeo mihi horum movies 191 00:10:34,870 --> 00:10:41,470 Essem maxime vigilare utinam eligere Age of Ultron: Vindices. 192 00:10:41,470 --> 00:10:44,490 >> Ita quicquid aliud dare voluerint systemata, nunc Im 'usura 193 00:10:44,490 --> 00:10:49,260 Non de data generaverit ipsum elit, sed de mauris 194 00:10:49,260 --> 00:10:51,960 ab aliis users. 195 00:10:51,960 --> 00:10:54,150 Hoc sane difficultates. 196 00:10:54,150 --> 00:10:55,920 Quid si non alius users? 197 00:10:55,920 --> 00:10:58,770 Bene, quod suus 'vocatur satus problem. 198 00:10:58,770 --> 00:11:03,760 Vos habere aliquid quantitas data coram te 199 00:11:03,760 --> 00:11:07,560 poterit committitur faciens his recommendations. 200 00:11:07,560 --> 00:11:10,940 Flip latus est semel vos satus colligendis notitia, 201 00:11:10,940 --> 00:11:13,870 si ergo vales colligere more et magis ac magis notitia, 202 00:11:13,870 --> 00:11:17,850 youll 'adepto melius et melius et melius commendatione. 203 00:11:17,850 --> 00:11:21,650 >> Nunc autem soluti sumus could translate in hoc codice tam. 204 00:11:21,650 --> 00:11:23,860 Possumus definimus different genus operis, 205 00:11:23,860 --> 00:11:25,720 hic feres a user. 206 00:11:25,720 --> 00:11:30,970 Et suus 'got features de quod movies hoc user probaverunt. 207 00:11:30,970 --> 00:11:34,560 Nonne similis Inside Out, Satellites illam unam patere, Vindices, et Ant Man. 208 00:11:34,560 --> 00:11:36,660 Possemus ergo generare quidam pseudocode sequi 209 00:11:36,660 --> 00:11:39,460 gravia dividentia idem corpus quod prius. 210 00:11:39,460 --> 00:11:43,460 Hoc est, data a particulari user x, lets 'suadeo a movie 211 00:11:43,460 --> 00:11:46,107 x ut quod amo. 212 00:11:46,107 --> 00:11:47,940 Ire possumus, et per omnes movies, 213 00:11:47,940 --> 00:11:51,410 possumus initialize a score quia movie esse 0. 214 00:11:51,410 --> 00:11:54,080 Et tunc forte invenire possimus omnes alterius qui users 215 00:11:54,080 --> 00:11:57,630 x eodem mauris. 216 00:11:57,630 --> 00:11:59,990 Deinde pro omnibus movie quod vellent, 217 00:11:59,990 --> 00:12:02,340 quod nos uestros incremento elit. 218 00:12:02,340 --> 00:12:05,010 Gemma gratissima, expectatio movie in finis habet summa score, 219 00:12:05,010 --> 00:12:07,600 quod unam commendem. 220 00:12:07,600 --> 00:12:09,890 >> Neque obscurum est. 221 00:12:09,890 --> 00:12:11,600 Nemo ex hoc est arduum. 222 00:12:11,600 --> 00:12:15,810 Hi sunt basic omnium algorithms quia tu hodie efficere potuit. 223 00:12:15,810 --> 00:12:20,050 >> Sed cum verus recommender systemata, vos incurrerunt in aliquod problems. 224 00:12:20,050 --> 00:12:23,300 Fusce suscipit Quid si nullus qui aequet exigo vestri preferences? 225 00:12:23,300 --> 00:12:27,170 Quid si ibi inventi fuerint users qui sunt prorsus tua preferences, 226 00:12:27,170 --> 00:12:30,480 sed tunc deviare PRORSUS ex his quae tibi placent? 227 00:12:30,480 --> 00:12:36,210 EGO amo classic Godzilla movies, sed non meam. 228 00:12:36,210 --> 00:12:39,430 Ut custodiant mi Netflix rationem continet. 229 00:12:39,430 --> 00:12:41,800 Sui non facit. 230 00:12:41,800 --> 00:12:45,230 Quid accidit si nos satus mixtionem data huic simile? 231 00:12:45,230 --> 00:12:47,690 Hae sunt omnes provocationes quod potes vincere, 232 00:12:47,690 --> 00:12:51,900 they iustus leviter magis intricatae algorithms. 233 00:12:51,900 --> 00:12:56,420 >> In rerum natura, quae sunt actu perficiendis, 234 00:12:56,420 --> 00:12:59,980 nos uti contentus fundatur vel filtering do utimur collaborative filtering? 235 00:12:59,980 --> 00:13:01,910 Et respondendum est uterque utimur. 236 00:13:01,910 --> 00:13:06,350 Fere omnes in maiorem users Hic Amazon Facebook, Netflix, 237 00:13:06,350 --> 00:13:11,200 Pandora omnes uti coniunctis haec diversa ratio commendationem. 238 00:13:11,200 --> 00:13:16,520 Cumque miscere electiones singulis beatificamus eos hybrid ratio. 239 00:13:16,520 --> 00:13:20,750 Aliquo modo pendet features ipsius obiecti, 240 00:13:20,750 --> 00:13:24,710 et aliquo modo pendent preferences de aliis users. 241 00:13:24,710 --> 00:13:28,120 Hybrid haec ratio, haerent magnum negotium, 242 00:13:28,120 --> 00:13:30,830 et haerent quid current hodie. 243 00:13:30,830 --> 00:13:32,839 >> Sic gratias diversi generis multa nimis committendi me. 244 00:13:32,839 --> 00:13:35,380 Spero te Etilla bit intelligentiam quid 245 00:13:35,380 --> 00:13:37,430 haec ratio facit opus. 246 00:13:37,430 --> 00:13:41,980 Deinde tempore online tu memento non solum afficiunt tuae, 247 00:13:41,980 --> 00:13:44,680 sed est in potentia ad omnes pariter. 248 00:13:44,680 --> 00:13:46,480 Iterum gratias. 249 00:13:46,480 --> 00:13:47,186