| [ | |
| { | |
| "file_id": "UYe98CcxPbs", | |
| "query_id": 0, | |
| "timestamp": 1684480825133.0, | |
| "annotatedSourceSentencesIndices": [ | |
| 55, | |
| 57, | |
| 51, | |
| 52, | |
| 55 | |
| ], | |
| "names": [ | |
| "annotator1", | |
| "annotator2" | |
| ], | |
| "text": "where can I find a complete derivation of the formula z=z0 + a(x-x0) + b(y-y0) using parametric equations as he suggested at 8:38? I tried to do what he said but no luck!" | |
| }, | |
| { | |
| "file_id": "UYe98CcxPbs", | |
| "query_id": 2, | |
| "timestamp": 1684480921899.0, | |
| "annotatedSourceSentencesIndices": [ | |
| 51, | |
| 52 | |
| ], | |
| "names": [ | |
| "annotator1" | |
| ], | |
| "text": "08:10 how do you express the plan formed by two lines in general? " | |
| }, | |
| { | |
| "file_id": "UYe98CcxPbs", | |
| "query_id": 3, | |
| "timestamp": 1684510062486.0, | |
| "annotatedSourceSentencesIndices": [ | |
| 293 | |
| ], | |
| "names": [ | |
| "annotator1" | |
| ], | |
| "text": "why is it the the deviation formula is squared? i know it must be equal to zero." | |
| }, | |
| { | |
| "file_id": "UYe98CcxPbs", | |
| "query_id": 4, | |
| "timestamp": 1684510080674.0, | |
| "annotatedSourceSentencesIndices": [ | |
| 293 | |
| ], | |
| "names": [ | |
| "annotator1" | |
| ], | |
| "text": "Why do we do square deviation, but not ordinary one? I don`t understand the precondition for squares. If anyone can explain, do it, please." | |
| }, | |
| { | |
| "file_id": "UYe98CcxPbs", | |
| "query_id": 5, | |
| "timestamp": 1684510172054.0, | |
| "annotatedSourceSentencesIndices": [ | |
| 198 | |
| ], | |
| "names": [ | |
| "annotator1" | |
| ], | |
| "text": "25:57\nWhy he wrote f(-1,0)?" | |
| }, | |
| { | |
| "file_id": "UYe98CcxPbs", | |
| "query_id": 7, | |
| "timestamp": 1684510713476.0, | |
| "annotatedSourceSentencesIndices": [ | |
| 51 | |
| ], | |
| "names": [ | |
| "annotator1" | |
| ], | |
| "text": "For z = z0 + a(x-x0) + b(y-y0),\nwouldn't that mean:\n-1(z-z0) + a(x-x0) + b(y-y0) = 0\nso from lecture 4 the normal vector for any f(x,y) tangent plane is <-1, a, b> ?\nI'm missing something about the -1 I'm sure" | |
| }, | |
| { | |
| "file_id": "UYe98CcxPbs", | |
| "query_id": 9, | |
| "timestamp": 1684510838484.0, | |
| "annotatedSourceSentencesIndices": [ | |
| 284, | |
| 285 | |
| ], | |
| "names": [ | |
| "annotator1" | |
| ], | |
| "text": "34:58 would using perpendicular distance (instead of vertical distance) make better sense? \n" | |
| }, | |
| { | |
| "file_id": "UYe98CcxPbs", | |
| "query_id": 12, | |
| "timestamp": 1684510931819.0, | |
| "annotatedSourceSentencesIndices": [ | |
| 43 | |
| ], | |
| "names": [ | |
| "annotator1" | |
| ], | |
| "text": "6:34, how is that z=z0 + dz/dx(x-x0) a equation of straight line. y=mx+c is a eqaution of straight line in 2D space. and x = x0 + st is vector form of equaiton in higher dimension. how is the above euqation realted to this? Thanks in advance" | |
| }, | |
| { | |
| "file_id": "UYe98CcxPbs", | |
| "query_id": 1, | |
| "timestamp": 1684191408602.0, | |
| "annotatedSourceSentencesIndices": [ | |
| 0 | |
| ], | |
| "names": [ | |
| "annotator1" | |
| ], | |
| "text": "Would any one please explain what did the professor mean between 13:13 and 13:44?" | |
| } | |
| ] |