conversation_id int64 1 206k | help_channel stringlengths 6 7 | __rowid__ stringlengths 32 32 | author_id int64 62,061,868B 1,071,443,446B | author_name stringlengths 2 32 | timestamp stringlengths 19 19 | content stringlengths 0 3.97k | reference.messageId stringclasses 3
values | reference.channelId stringclasses 3
values | reference.guildId stringclasses 1
value | url stringlengths 0 591 | fileName stringlengths 0 513 | student int64 0 1 | helper int64 0 1 | references.id float64 62,061,868B 1,071,056,124B ⌀ | references.name stringlengths 2 32 ⌀ | references.discriminator stringlengths 4 4 ⌀ | references.nickname stringlengths 1 32 ⌀ | references.isBot bool 2
classes |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 251,854,584,597,708,800 | PapaBread | 01/26/2022 12:10:18 | If it's still just percent it's the same | 0 | 1 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:10:27 | %w/w %w/v and %v/v | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:10:45 | they're the easier ones to start with | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 251,854,584,597,708,800 | PapaBread | 01/26/2022 12:10:55 | Is w representing mass? | 0 | 1 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:11:00 | yes | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:11:03 | weight/mass | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:11:15 | in chemistry it's used interchangeably as far as i know | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:11:52 | so you're supposed to calculate concentration with both volume and mass | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 251,854,584,597,708,800 | PapaBread | 01/26/2022 12:12:48 | Yeah that'd be the molar way I think | 0 | 1 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:14:03 | huh | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 251,854,584,597,708,800 | PapaBread | 01/26/2022 12:14:31 | Since molar concentration is moles per liter | 0 | 1 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 251,854,584,597,708,800 | PapaBread | 01/26/2022 12:15:07 | I guess it's not technically mass but it's close enough | 0 | 1 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:15:51 | oh no Jesse | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 251,854,584,597,708,800 | PapaBread | 01/26/2022 12:16:07 | I've never liked chemistry | 0 | 1 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:17:02 | i mean it's not bad | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:17:17 | it's just taught boringly | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:17:42 | you could make sugar rockets with... well, sugar and potassium nitrate | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:17:59 | super powerful and explosive and anti-finger | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:18:26 | either way im not making any sense through this | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:18:36 | thanks but rip | 1 | 0 | null | null | null | null | null | |||||
303 | help-10 | 626e67a80539427683c11e0e853b5d31 | 875,660,803,712,368,600 | Rashid Ibn Muhammed Ibn Abjad | 01/26/2022 12:19:02 | .close | 1 | 0 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 884,760,473,675,898,900 | LondonAnd | 01/26/2022 12:36:27 | Why is an empty set the subset of all sets?
Most of the proofs I have looked at utilise the concept of vacuous truth, a concept that I haven't been able to grasp yet.
One proof I looked at went along the lines of:
"You have 5 objects and take it way, then you are left with nothing/it is empty, you have zero objects w... | 1 | 0 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 12:41:03 | suppose the empty set *isn't* a subset of A for any set A | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 12:41:17 | then that means there exists an element in {} not in A | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 12:41:22 | Contradiction. | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 321,445,119,171,756,000 | Shuri2060 | 01/26/2022 12:44:39 | Definition of subset:
$$A\subseteq B:= (\forall a\in A)(a\in B)$$ | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 12:45:04 | Was waiting for them to respond. | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 510,789,298,321,096,700 | TeXit | 01/26/2022 12:45:08 | **Shuri2060** | 321445119171756033.png | 0 | 1 | 884,760,473,675,898,900 | LondonAnd | 4619 | LondonAnd | false | ||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 884,760,473,675,898,900 | LondonAnd | 01/26/2022 12:54:24 | I have seen this proof and it's still confusing | 1 | 0 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 884,760,473,675,898,900 | LondonAnd | 01/26/2022 12:54:34 | Let us take a random set A | 1 | 0 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 12:55:14 | random non-empty set A* | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 884,760,473,675,898,900 | LondonAnd | 01/26/2022 12:55:31 | When we assume that the empty set is not a subset, this means that the content of the empty set is not in A | 1 | 0 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 321,445,119,171,756,000 | Shuri2060 | 01/26/2022 12:55:54 | 'there is something in the empty set that is not in A' | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 12:56:33 | If we assume {} is not a subset, then that means {} has something not in A | 0 | 1 | 186,109,587,366,215,680 | Omegabet_ | 9771 | Omegabet_ | false | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 884,760,473,675,898,900 | LondonAnd | 01/26/2022 12:56:46 | But doesn't the empty set not have any element is the first place, akin to saying that A does not contain "no element" ? | 1 | 0 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 12:56:49 | ie {} is non-empty | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 12:57:22 | For example:
{1,2} is a subset of {1,2,3} cause every element of the 1st is in the 2nd | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 12:57:39 | However, {1,2,3} is not a subset of {1,2} because 3 is in the 1st but not in the 2nd | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 884,760,473,675,898,900 | LondonAnd | 01/26/2022 12:58:55 | But doesn't the empty set have no elements in the first place?
I don't think I understand what an empty set means in the first place then. | 1 | 0 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 321,445,119,171,756,000 | Shuri2060 | 01/26/2022 12:58:58 | Yes. And this is a contradiction. | 0 | 1 | 321,445,119,171,756,000 | Shuri2060 | 9525 | a μ-er | false | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 321,445,119,171,756,000 | Shuri2060 | 01/26/2022 12:59:07 | You assumed {} is not a subset of A
And reached a contradiction. | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 12:59:09 | it's the set with no elements | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 12:59:33 | In our universe of discourse, {} is either a subset or a superset of A | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 12:59:44 | we assumed not a subset, so we suppose {} is a superset of A | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 13:00:00 | to which bullshit b/c A is not a subset of {} | 0 | 1 | 884,760,473,675,898,900 | LondonAnd | 4619 | LondonAnd | false | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 884,760,473,675,898,900 | LondonAnd | 01/26/2022 13:08:07 | Still nothing | 1 | 0 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 884,760,473,675,898,900 | LondonAnd | 01/26/2022 13:13:32 | Example. A={1,2,3}
For {} to not be a subset, it must have an element which is not in A
But if {} has no elements in the first place, how can it be a subset?
Taking the opposite, let {} not be a subset of A
This means that {} has an element that is not in A
But since {} has no elements, it's impossible for the abov... | 1 | 0 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 321,445,119,171,756,000 | Shuri2060 | 01/26/2022 13:28:42 | @LondonAnd
'But if {} has no elements in the first place, how can it be a subset?' | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 321,445,119,171,756,000 | Shuri2060 | 01/26/2022 13:28:50 | Where are you coming from with this. | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 321,445,119,171,756,000 | Shuri2060 | 01/26/2022 13:28:59 | Perhaps we should agree on the definition of 'subset' first | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 321,445,119,171,756,000 | Shuri2060 | 01/26/2022 13:29:02 | before going any further | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 321,445,119,171,756,000 | Shuri2060 | 01/26/2022 13:29:30 | 'If A is a subset of B, then for each element x of A, x is an element of B' | 0 | 1 | null | null | null | null | null | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 321,445,119,171,756,000 | Shuri2060 | 01/26/2022 13:30:16 | Also, what axiom are you referring to? | 0 | 1 | 884,760,473,675,898,900 | LondonAnd | 4619 | LondonAnd | false | |||||
305 | help-10 | 1adb70e7783d4a1dbef820788afcd08d | 186,109,587,366,215,680 | Omegabet_ | 01/26/2022 13:43:21 | > For {} to not be a subset, it must have an element which is not in A
Yes, that's the point | 0 | 1 | null | null | null | null | null | |||||
306 | help-10 | 27e60db1af2f47d8a67e195d4097c04a | 365,331,735,191,224,300 | eastwolf2021 | 01/26/2022 14:30:30 | unknown.png | 1 | 0 | null | null | null | null | null | |||||
306 | help-10 | 27e60db1af2f47d8a67e195d4097c04a | 365,331,735,191,224,300 | eastwolf2021 | 01/26/2022 14:31:02 | i'm just.. totally lost. help appreciated! | 1 | 0 | null | null | null | null | null | |||||
306 | help-10 | 27e60db1af2f47d8a67e195d4097c04a | 365,331,735,191,224,300 | eastwolf2021 | 01/26/2022 15:16:50 | .close | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 15:25:20 | I want to calculate the dimension of U
however the triplet (u1, u2, u3) is not a basis, because they are linearly dependent
Could someone give me input on this? | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 15:25:38 | unknown.png | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 15:25:50 | unknown.png | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 15:26:35 | V = Q^4 (Q = fractions) | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 15:27:06 | I've calculated rref:
1 2 3
0 0 0
0 0 0
0 0 0 | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:33:02 | (rationals would be more appropriate) | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:33:25 | Okay so.. you've put your vectors as columns in a matrix? | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 15:33:32 | yes | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:33:52 | great, so the vector corresponding to the first column, will form a basis to U | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:35:50 | In general, when you're looking for a basis , and you align your spanning vectors in _columns_ then once you've achieved the rref form, then your pivots will indicate which of the vectors will form a basis | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:37:22 | however .. are you sure about your result? | 0 | 1 | 360,857,322,496,458,750 | SilberSeele | 6698 | SilberSeele | false | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:37:42 | it seems to me that there are 2 vectors here that form a bsis | 0 | 1 | 360,857,322,496,458,750 | SilberSeele | 6698 | SilberSeele | false | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:38:05 | since u3 is linearly dependant on u1 and u2 (check 2*u2-u1) | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 15:39:33 | 1 3 5
0 4 8
1 2 3
2 1 0
----------- 1-3, 4-3
0 1 2
0 4 8
1 2 3
0 -3 - 6
----------- 2+4
0 1 2
0 4 8
1 2 3
0 1 2 | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:40:09 | that will give you 2 pivots | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:40:34 | +1 for the effort of writing that out lol | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 15:41:16 | so V is dim 4 and U is dim 2? | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:41:24 | yea | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 15:41:33 | gotcha | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:41:51 | do you understand how to pick your basis tho | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 15:42:33 | mom | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:42:53 | :blushed: | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:44:05 | :sad_think: | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:44:16 | :sad_times: | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 15:53:12 | @Deus_Vult
v1 = 1, -1, 1, 0
v2 = 0 0 0 1 | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:54:34 | ? | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 15:55:02 | @SilberSeele | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 16:04:50 | x1= x3
x2 = -2x3
--------
x3
-2x3
x3
---------
a *(1, -2, 1) | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 16:05:36 | i think I lost you bruv | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 16:05:44 | what are you attempting to do now? | 0 | 1 | 244,129,917,732,651,000 | Deus_Vult | 9771 | Deus_Vult | false | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 16:09:56 | this.
I have two pivots, x1 and x2
and x3 is free
1 0 -1 => x1 -x3 = 0 => x1 = x3
0 1 2 => x2 +2x3 = 0 => x2 = -2x3
and x3 =x3 | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 16:10:44 | :devastation: | 0 | 1 | 360,857,322,496,458,750 | SilberSeele | 6698 | SilberSeele | false | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 16:10:59 | and your final result ? | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 16:11:42 | your final result is the solution vector (1,-2,1) ? | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 16:11:48 | --------
x3
-2x3
x3
---------
a *(1, -2, 1) | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 16:12:08 | so this right? | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 16:12:10 | okay | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 16:12:14 | what does the final result tell you? | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 16:13:15 | that the dimension is 1 not 2? | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 16:13:36 | since dimK (V ) = dim(V ) := n ? | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 360,857,322,496,458,750 | SilberSeele | 01/26/2022 16:14:03 | with (v1 , . . . , vn) basis of V | 1 | 0 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 16:14:03 | Okay First of | 0 | 1 | null | null | null | null | null | |||||
307 | help-10 | 104d3f239dd64dcf80ffbd973ec68bb3 | 244,129,917,732,651,000 | Deus_Vult | 01/26/2022 16:14:13 | When you're trying to find a basis out of spanning vectors | 0 | 1 | null | null | null | null | null |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.