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: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | now let 's just power through it together . sometimes matrix multiplication can get a little bit intense . we 're now in the second row , so we 're going to use the second row of this first matrix , and for this entry , second row , first column , second row , first column . | can anyone briefly explain me the importance of matrix multiplication in linear algebra and computer graphic designing ? |
: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | : let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . | 2 ) is there a way to memorize efficiently how to multiply all types of matrices ? |
: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | that 's how we did addition . we added corresponding entries , but that is not the convention for multiplying matrices . that is not the standard convention . | i can sort of understand how a matrix might be helpful in real life ... but multiplying matrices ? |
: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | that 's essentially taking the dot product of this row vector and this column vector . if that does n't make sense to you , if you 're not familiar with vectors and dot products , do n't worry about it . we just took the first end product of the first entry , product of the second entry , added them together to get ... | how long are you supposed to play hide n seek with my mom ? |
: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | now let 's just power through it together . sometimes matrix multiplication can get a little bit intense . we 're now in the second row , so we 're going to use the second row of this first matrix , and for this entry , second row , first column , second row , first column . | what is an inverse matrix ? |
: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | now let 's just power through it together . sometimes matrix multiplication can get a little bit intense . we 're now in the second row , so we 're going to use the second row of this first matrix , and for this entry , second row , first column , second row , first column . | but can we divide matrix by a matrix ? |
: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | but i really want to stress this is a human construct . humans have found defining matrix multiplication the way i 'm about to show you to be useful . let 's just think about how this could be . | do exponents of matrices work the same way as matrix multiplication ? |
: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | that makes sense because we 're still in the first row but we 're in the second column of the first row right here . first row , second column . it 's going to be 2 times 4 , 2 times 4 plus negative 2 , plus negative 2 times negative 6 . | why ca n't we take the 1st row of the 1st matrix with the 1st column of the 2nd matrix in multiplication ? |
: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | you could have done it the same way that you add matrices . when you add matrices , both matrices have to have the same dimensions , and you just add the corresponding entries in the matrices . one convention could have been why do n't we just , for our product right over here , why do n't we just multiply correspondin... | the matrices being multiplied do n't really seem logical nor intuitive ? |
: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | you could have done it the same way that you add matrices . when you add matrices , both matrices have to have the same dimensions , and you just add the corresponding entries in the matrices . one convention could have been why do n't we just , for our product right over here , why do n't we just multiply correspondin... | can we multiply matrices by whole numbers ? |
: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | but i really want to stress this is a human construct . humans have found defining matrix multiplication the way i 'm about to show you to be useful . let 's just think about how this could be . | i understand how to use matrices for `` graphing '' information , but how is matrix multiplication useful ? |
: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | notice , i took the product , first entry in the row , first entry in the column , those two products , then the product of second entry in the row , second entry in the column that 's right over there , and then i added them together . that 's essentially taking the dot product of this row vector and this column vecto... | wait , so what are dot products ? |
: let 's say that we have got 2 matrices , and i 'll just , for simplicity , i 'll start with two 2 by 2 matrices . let 's say that this first one right over here is 2 , negative 2 , 5 , and let 's say 5 and 3 , and then i have this matrix right over here that it 's also going to be 2 by 2 . let 's say it 's negative ... | if the word `` dot product '' makes no sense to you , i will show you what that actually means . actually , let 's get some more real estate here just so i think it will be useful , especially this very first time that we attempt to multiply matrices . this top left entry , it 's going to be 2 times negative 1 , so 2 t... | how are matrics used in real life ? |
( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the s... | ( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . | how loud is a trombone ? |
( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the s... | ( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . | what is the range of a contrabass trombone ? |
( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the s... | and that is , the brass player makes the pitch with a body part , and that 's our lips . and the vocalist makes their pitch with the vocal cords . it 's not far , though . | and what makes the best sound music-wise ? |
( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the s... | ( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . | how much does a soprano trombone cost ? |
( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the s... | ( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . | how do clean your trombone ? |
( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the s... | ( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . | on a scale of 1-10 how loud is a trombone ? |
( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the s... | but then there 's a whole world of the classical trombone . there 's usually three trombones in an orchestra , two tenors and a bass . but then there 's the brass band world , the concert bands , wind ensembles . | two questions , what is the broke ages and how many different trombones are there ? |
( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the s... | ( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . | how long is the soprano trombone ? |
( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the s... | ( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . | what is the difference between a trombone and a trumpet ? |
( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the s... | so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the sackbut . trombone , of course , lot of people associate it with jazz , because that 's its natural habitat . | why would the trombone be called a sack butt at 0? |
( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the s... | ( horn blowing ) okay ? so , that does n't really work . ( `` symphony no . | did n't joseph alessi teach other musicians in the same orchestra ? |
( `` symphony no.2 - i. allegro maestoso '' by gustav mahler ) this is a tenor trombone . and there 's a bass trombone and an alto trombone , and a soprano trombone , and a contrabass trombone . so we 've got a lot of different sizes . trombone goes back to the baroque ages . and then they had a funny name called the s... | that 's the key , in classical trombone is to have complete control of the slide , where you do n't show any glissando at all . so , if you play a scale . ( horn blowing ) i 'm very careful how to move the slide . | can you play more than 1 note ? |
what is a thoracic aortic aneurysm ? well let 's break that down . an aneurysm is a permanent localized dilation of something . in this case , of the aorta which is the main artery in our bodies . now the aorta is pretty long , it originates from the left ventricle of the heart here and it extends down through the tho... | here are a few of the major risk factors . atherosclerosis is a big risk factor . smoking is also a big risk factor for development of aneurysms partly because it contributes to atherosclerosis development and partially because it directly damages the walls of your arteries . hypertension is another risk factor . copd ... | why is copd a risk factor for development of aneurysms ? |
what is a thoracic aortic aneurysm ? well let 's break that down . an aneurysm is a permanent localized dilation of something . in this case , of the aorta which is the main artery in our bodies . now the aorta is pretty long , it originates from the left ventricle of the heart here and it extends down through the tho... | there 's a few reasons why aneurysms are not are favorite thing . why do aneurysms occur in the first place ? well there 's a couple reasons , the most common reason the aorta would balloon out here is because of something called arteriosclerosis or degenerative change . that just means that the walls of the aorta star... | the aorta has lots of branches so would saccular aneurysms be more common because of the many branches of the aorta ? |
( piano music ) - [ steven ] in 1970 , robert smithson hired several people to help him create spiral jetty . we 're standing right in the middle , at the edge of the great salt lake in utah . - [ beth ] but we 're not seeing this the way that it existed when smithson first created it , where it was an intersection bet... | - [ steven ] smithson was interested in the idea of entropy , the idea of the way things break down . and his intervention in this natural landscape , it 's an expression of the way in which artists thought about the landscape for many years . - [ beth ] we could go back to artists like caspar david friedrich , who tho... | in your belief does artworks , such as , this one , destroys and ruin the landscape or inflicts beauty with the use of nature ? |
( piano music ) - [ steven ] in 1970 , robert smithson hired several people to help him create spiral jetty . we 're standing right in the middle , at the edge of the great salt lake in utah . - [ beth ] but we 're not seeing this the way that it existed when smithson first created it , where it was an intersection bet... | ( piano music ) - [ steven ] in 1970 , robert smithson hired several people to help him create spiral jetty . we 're standing right in the middle , at the edge of the great salt lake in utah . | were the two of you the only people present during the time that you were observing spiral jetty ? |
in the last video , we made a visual argument as to why this expression has to be less than 1/3 , and this expression we already figured out is the fraction that are bears . now we will make an algebraic argument , or i could call it an analytic argument . and to make this argument , i 'm going to leave this expression... | and to make this argument , i 'm going to leave this expression -- we know this is the fraction that are bears -- and i 'm going to write this 1/3 in a form that looks a lot like this , and then based on the information we have , we can directly compare them . so how can i write 1/3 ? maybe with the b as a numerator . | how did sal know that d = 1/3 of the rectangle in his visual analysis ? |
in the last video , we made a visual argument as to why this expression has to be less than 1/3 , and this expression we already figured out is the fraction that are bears . now we will make an algebraic argument , or i could call it an analytic argument . and to make this argument , i 'm going to leave this expression... | maybe with the b as a numerator . well , 1/3 is the same thing as b over 3b , which is the exact same thing as b over b plus b plus b . so now , this is looking pretty similar . | could n't d be a little less than 1/3 but greater than b ? |
in the last video , we made a visual argument as to why this expression has to be less than 1/3 , and this expression we already figured out is the fraction that are bears . now we will make an algebraic argument , or i could call it an analytic argument . and to make this argument , i 'm going to leave this expression... | maybe with the b as a numerator . well , 1/3 is the same thing as b over 3b , which is the exact same thing as b over b plus b plus b . so now , this is looking pretty similar . | if a > d > b was 1000000002 > 1000000001 > 1000000000 , then would n't 1000000000/3000000003=1/3 ? |
in the last video , we made a visual argument as to why this expression has to be less than 1/3 , and this expression we already figured out is the fraction that are bears . now we will make an algebraic argument , or i could call it an analytic argument . and to make this argument , i 'm going to leave this expression... | this right over here has a smaller denominator . and since we know this has a larger denominator , this has a smaller denominator , they have the exact same numerator -- they both have b as a numerator -- we know that this whole thing must be a smaller quantity . if you have the same numerator but one expression has a ... | okaaaay , how do we know the numerator is positive and where is negative a ? |
we 've already explored a two-dimensional version of the divergence theorem . if i have some region -- so this is my region right over here . we 'll call it r. and let 's call the boundary of my region , let 's call that c. and if i have some vector field in this region , so let me draw a vector field like this . if i ... | so we have positive divergence . so you can imagine that it 's kind of -- the vector field within the region , it 's a source of the vector field , or the vector field is diverging out . that 's just the case i drew right over here . | can you calculate the field of g ? |
we 've already explored a two-dimensional version of the divergence theorem . if i have some region -- so this is my region right over here . we 'll call it r. and let 's call the boundary of my region , let 's call that c. and if i have some vector field in this region , so let me draw a vector field like this . if i ... | we 've already explored a two-dimensional version of the divergence theorem . if i have some region -- so this is my region right over here . | so is divergence theorem the same as gauss ' theorem ? |
we 've already explored a two-dimensional version of the divergence theorem . if i have some region -- so this is my region right over here . we 'll call it r. and let 's call the boundary of my region , let 's call that c. and if i have some vector field in this region , so let me draw a vector field like this . if i ... | if you had a converging vector field , where it 's coming in , the flux would be negative , because it 's going in the opposite direction of the normal vector . and so the divergence would be negative as well , because essentially the vector field would be converging . so hopefully this gives you an intuition of what t... | also , we have been taught in my multivariable class that gauss ' theorem only relates the flux over a surface to the divergence over the volume it bounds and if you had for example a path in three dimensions you would apply green 's theorem and the line integral would be equivalent to the curl of the vector field inte... |
we 've already explored a two-dimensional version of the divergence theorem . if i have some region -- so this is my region right over here . we 'll call it r. and let 's call the boundary of my region , let 's call that c. and if i have some vector field in this region , so let me draw a vector field like this . if i ... | so we have positive divergence . so you can imagine that it 's kind of -- the vector field within the region , it 's a source of the vector field , or the vector field is diverging out . that 's just the case i drew right over here . | what did sal mean by a vector field ? |
we 've already explored a two-dimensional version of the divergence theorem . if i have some region -- so this is my region right over here . we 'll call it r. and let 's call the boundary of my region , let 's call that c. and if i have some vector field in this region , so let me draw a vector field like this . if i ... | we 've already explored a two-dimensional version of the divergence theorem . if i have some region -- so this is my region right over here . | why `` dv '' ? |
we 've already explored a two-dimensional version of the divergence theorem . if i have some region -- so this is my region right over here . we 'll call it r. and let 's call the boundary of my region , let 's call that c. and if i have some vector field in this region , so let me draw a vector field like this . if i ... | we 've already explored a two-dimensional version of the divergence theorem . if i have some region -- so this is my region right over here . | where can i find more material on divergence theorem , or ( better yet ) what level of mathematics should i have mastered in order to continue my studies using this program ? |
we 've already explored a two-dimensional version of the divergence theorem . if i have some region -- so this is my region right over here . we 'll call it r. and let 's call the boundary of my region , let 's call that c. and if i have some vector field in this region , so let me draw a vector field like this . if i ... | the flux across the boundary , so the flux is essentially going to be the vector field . it 's going to be our vector field f dotted with the normal outward-facing vector . so the normal vector at any point is this outward-facing vector , so our vector field , dotted with the normal-facing vector at our boundary times ... | sal refers to a outward facing vector is that the area vector ? |
we 've already explored a two-dimensional version of the divergence theorem . if i have some region -- so this is my region right over here . we 'll call it r. and let 's call the boundary of my region , let 's call that c. and if i have some vector field in this region , so let me draw a vector field like this . if i ... | so it 's going to be a surface integral . so this is flux across the surface . it 's going to be equal to -- if we were to sum up the divergence , if we were to sum up across the whole volume , so now if we 're summing up things on every little chunk of volume over here in three dimensions , we 're going to have to tak... | could you use the divergence theorem , or some variation of it , to calculate volumetric flux around a surface ? |
let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . time is told in hours , that 's part . and on a clock the hours are represented by the short hand , and then the other part is minutes . ... | and on a clock the hours are represented by the short hand , and then the other part is minutes . and on an analog clock like this one , minutes are represented by the long hand . so let 's look first at hours . | what do you mean by analog ? |
let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . time is told in hours , that 's part . and on a clock the hours are represented by the short hand , and then the other part is minutes . ... | let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . | what is the symbol , : , that you used and why are we using it ? |
let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . time is told in hours , that 's part . and on a clock the hours are represented by the short hand , and then the other part is minutes . ... | so the minute hand started at the top and it 's gone five , 10 , 15 , not quite to 20 , so let 's go back to 15 and then count by ones . 16 , 17 , 18 , 19 . our minute hand lines up to 19 . | i have a few math questions , what is 16 x 14 ? |
let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . time is told in hours , that 's part . and on a clock the hours are represented by the short hand , and then the other part is minutes . ... | 46 minutes past seven . the time is 7:46 . | why did the greeks invent time ? |
let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . time is told in hours , that 's part . and on a clock the hours are represented by the short hand , and then the other part is minutes . ... | 46 minutes past seven . the time is 7:46 . | why is telling time so important ? |
let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . time is told in hours , that 's part . and on a clock the hours are represented by the short hand , and then the other part is minutes . ... | 46 minutes past seven . the time is 7:46 . | how does a lunar/solar eclipse happen when time does n't change ? |
let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . time is told in hours , that 's part . and on a clock the hours are represented by the short hand , and then the other part is minutes . ... | now we ca n't go all the way to the six because our minute hand stopped here . it has n't reached this part . so after 25 , we 'll go back to counting by one , is the one minute . | do n't you have to count the lines really carefully ? |
let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . time is told in hours , that 's part . and on a clock the hours are represented by the short hand , and then the other part is minutes . ... | let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . time is told in hours , that 's part . | who made the first clock ? |
let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . time is told in hours , that 's part . and on a clock the hours are represented by the short hand , and then the other part is minutes . ... | and on a clock the hours are represented by the short hand , and then the other part is minutes . and on an analog clock like this one , minutes are represented by the long hand . so let 's look first at hours . | is the clock significant to modular arithmetic ? |
let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . time is told in hours , that 's part . and on a clock the hours are represented by the short hand , and then the other part is minutes . ... | let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . | how many people can fit in a school ? |
let 's look at this clock and see if we can tell what time is shown on it . first thing , when we look at a clock , we have two hands and that 's because time is told in two parts . time is told in hours , that 's part . and on a clock the hours are represented by the short hand , and then the other part is minutes . ... | our minute hand lines up to 19 . so it is 19 minutes after four , or 4:19 . on this one i encourage you to pause the video and see if you can figure out the time . | what is million times thousand and 4 ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | a will pay pension fund 1 10 % . but pension fund 1 wants to make sure that they 'll definitely get the money , because they ca n't lend money to people with anything less than stellar credit ratings . so they get some insurance from insurer 1 . | how is it possible that you are able to make a cds when in the normal world you ca n't insure your neighbors house against a fire ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | these numbers maybe are a little bit on the big side , but who knows ? actually , this could be a huge hedge fund . this could be a $ 10 billion hedge fund . | 0 : i dont understand how can the hedge fund h1 get the insurance without having to actually lend the money to b company ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | hey , these guys are good for their money , they 're double a or whatever . so now your risk is really a double a risk and not a double b risk , or whatever . but anyway , this happens . | even if all of the risk could be conservatively and wisely quantified and managed and therefore did not create the vulnerability that it did create , how is this sort of financial activity ( ie betting ) in any way helpful to the real wealth producing ( what is left of it ) part of the economy ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | let 's re-draw some of the connections between the organizations . let 's say pension fund 1 were to lend $ 1 billion to a . a will pay pension fund 1 10 % . but pension fund 1 wants to make sure that they 'll definitely get the money , because they ca n't lend money to people with anything less than stellar credit rat... | probably a silly legal question here : why is hedge fund # 1 's credit default swap not considered to be gambling ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | actually , this could be a huge hedge fund . this could be a $ 10 billion hedge fund . or even worse , maybe it 's a billion dollar hedge fund , or maybe it 's a $ 20 million hedge fund , but they 've taken a $ 180 million loan to essentially buy this insurance because they think that b 's collapse is imminent . | why would hedge fund 1 lend 10 billion to insurer 2 in the first place ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . because that 's essentially what a credit default swap is , it 's insurance on debt . if someone does n't pay the debt , then the insurance compa... | what are some examples of companies that offer insurance for credit default swap ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | i think it 's a good deal . i get 200 basis points on the 10 billion every year , as long as b does n't default . and this guy says , i think b 's going to default . so i think that 's a good deal on that insurance . | what makes h1 so sure about b 's default ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | hey , these guys are good for their money , they 're double a or whatever . so now your risk is really a double a risk and not a double b risk , or whatever . but anyway , this happens . | are cds 's the problem are is it just the fact that the gov't got involved , guaranteed these packages , and made risk less easy to assess ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | now let 's add another twist on it . these pension funds , p1 and p2 , it was reasonable for them to get insurance , because they were giving out these loans and then they got the insurance . so they were essentially hedging the default risk by buying these credit default swaps , which was essentially just an insurance... | my question is what 's the relationship between h1 and p1 or p2 ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | and some of these were insurance companies , some of these were banks . some of these may have even been hedge funds . so these are the people who write the credit default swaps , and then there are the people who would actually buy the credit default swaps . | did the insurance companies go broke paying the hedge funds back before they could pay back the pension funds ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | so you have to wonder whether it even deserves this double a rating , because it actually is taking on a lot of risk . but in the short term , while these companies are -- everyone is doing well and the economy 's doing well , it 's a great business for these guys . these guys are just collecting premiums essentially o... | so what would stop h1 from actively conspiring ( in `` legal '' ways ) to drive b2 out of business to collect the payout ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | we 're going to reduce your ratings . maybe this guy was insuring some of a 's debt , but now since he was insuring some of a 's debt , all of a sudden that insurance is worth less because it has a lower rating . and now a 's debt , less people want to hold it , because there are less people to insure it . | was a simultaneous collapse of a number of companies in which they were insuring the loan ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | but anyway , this happens . this is corporation b , and maybe pension fund 2 wants to lend to corporation b . maybe they lend them $ 2 billion . | i mean what is the connection between i2 and b ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | this is this new notation that i 'm creating . they get insurance on a . fair enough . | i can get an insurance from an insurance company on any amount of money that a bank ( or any entity ) is going to go insolvent/bankrupted ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | some of these may have even been hedge funds . so these are the people who write the credit default swaps , and then there are the people who would actually buy the credit default swaps . in the previous example , i had pension fund 1 , that was my pension fund . | how would credit default swaps reflect on a insurer 's balance sheet ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | let 's re-draw some of the connections between the organizations . let 's say pension fund 1 were to lend $ 1 billion to a . a will pay pension fund 1 10 % . but pension fund 1 wants to make sure that they 'll definitely get the money , because they ca n't lend money to people with anything less than stellar credit rat... | how does hedge fund 1 knopws of these details ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | but you do n't keep enough capital to pay all of the defaulting debt . so you already see an interesting risk forming . what if all of these corporations , for whatever reason , do start defaulting simultaneously ? | at 8 : 40 why would i2 be insuraning p1 when p1 is already being backed by a1 ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . | was this `` betting strategy '' applied by goldman sachs when it dealt with client 's houses ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | now they 're going to have to unload that debt . so just one default creates this chain reaction , right ? this one default happens , this guy has to pay this guy money , then this guy gets undercapitalized since they have to pay out money . then moody 's says , oh , my god , you 're undercapitalized . | does the money supply increase when the loans default ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | and some of these were insurance companies , some of these were banks . some of these may have even been hedge funds . so these are the people who write the credit default swaps , and then there are the people who would actually buy the credit default swaps . | when hedge funds take a cds on the company for well more than whatever that company even has outstanding , how does the payment to that hedge fund work ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | these numbers maybe are a little bit on the big side , but who knows ? actually , this could be a huge hedge fund . this could be a $ 10 billion hedge fund . or even worse , maybe it 's a billion dollar hedge fund , or maybe it 's a $ 20 million hedge fund , but they 've taken a $ 180 million loan to essentially buy th... | how is it that hedge find a can buy insurance on something it does not own ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | what if all of these corporations , for whatever reason , do start defaulting simultaneously ? then all of a sudden this insurance company has to pay more out in insurance then it might even have . so you have to wonder whether it even deserves this double a rating , because it actually is taking on a lot of risk . | are those insurance companies will accept any kinds of cds even when the borrower has a very low credit ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | so these are the people who write the credit default swaps , and then there are the people who would actually buy the credit default swaps . in the previous example , i had pension fund 1 , that was my pension fund . then you could have another pension fund , pension fund 2 . let 's re-draw some of the connections betw... | can pension fund a then buys cds from all 3 insurers ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | let 's re-draw some of the connections between the organizations . let 's say pension fund 1 were to lend $ 1 billion to a . a will pay pension fund 1 10 % . but pension fund 1 wants to make sure that they 'll definitely get the money , because they ca n't lend money to people with anything less than stellar credit rat... | quick question 1 : how can the hedge fund buy a cdf worth $ 10bn if the total loan value is $ 2bn ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . because that 's essentially what a credit default swap is , it 's insurance on debt . if someone does n't pay the debt , then the insurance compa... | so when i buy a credit default swap , i 'm basically just buying debt insurance ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | it 's now b+ insurance , and maybe this pension fund , by its charter , ca n't hold something that has a b+ credit rating . so they 're going to have to unwind the transaction , or maybe they 'll have to unload the debt that was insured . so one , just by company b defaulting , maybe this guy was holding some of compan... | what does it mean when sal says `` unload that debt ... '' how does a company `` unwind the transaction '' ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | so what i 'm going to do , i 'm not going to lend company b money , because if anything , i think that they 're maybe about to go out of business . but what i can do is i can buy a credit default swap on company b 's debt . which is , essentially , i 'm getting insurance that they fail without actually lending the mone... | so the reason why h1 bought credit default swap from i2 is because they were betting that company b was going to go bankrupt ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | it 's now b+ insurance , and maybe this pension fund , by its charter , ca n't hold something that has a b+ credit rating . so they 're going to have to unwind the transaction , or maybe they 'll have to unload the debt that was insured . so one , just by company b defaulting , maybe this guy was holding some of compan... | what is mean by unwinding the transaction or unloading the debt here ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | and i doubt that was the only person you have to pay , maybe they have to pay out a lot of money . now i2 , insurance company 2 , you are undercapitalized . i am now going to downgrade your rating . | + , how realistic of an example is this , in reference to hedge fund h1 and the insurance company i2 ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | and something interesting is going on here already . b might not have even borrowed $ 10 billion , right ? so all of a sudden you have this hedge fund that is getting insurance on more debt than b has even borrowed money on , right ? | is h1 extraordinarily smart ( even resorting to illegal methods ) to successfully predict b 's demise a mere 3 months before the actual occurrence , or is i2 extremely stupid to not even see the imminent collapse of b ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | these numbers maybe are a little bit on the big side , but who knows ? actually , this could be a huge hedge fund . this could be a $ 10 billion hedge fund . | could someone explain to me the concept behind synthetic cds ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | and some of these were insurance companies , some of these were banks . some of these may have even been hedge funds . so these are the people who write the credit default swaps , and then there are the people who would actually buy the credit default swaps . in the previous example , i had pension fund 1 , that was my... | are there companies/hedge funds with credit default swaps on the u.s. debt ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | and i doubt that was the only person you have to pay , maybe they have to pay out a lot of money . now i2 , insurance company 2 , you are undercapitalized . i am now going to downgrade your rating . so , you were double a , but since you had to give out all of this capital , moody 's is now going to downgrade you to , ... | when i2 gets a rating downgrade , what happens to p1 ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | we 're going to reduce your ratings . maybe this guy was insuring some of a 's debt , but now since he was insuring some of a 's debt , all of a sudden that insurance is worth less because it has a lower rating . and now a 's debt , less people want to hold it , because there are less people to insure it . | since i2 was insuring a 's debt to p1 , and p1 can only lend to companies with an excellent credit rating , does p1 find another insurer ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | you know , it might be a good bet . if b collapses tomorrow , what 's going to happen ? they only dished out maybe 200 million for maybe that first year , although you normally pay it on a quarterly basis . | is h1 ( introduced ) betting on b going out of business , or is it betting on b not paying its debt to p2 ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | then these guys get $ 10 billion . right ? but something else is interesting here . | even if b goes bankrupt , p2 could still get the $ if they are senior enough , right ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | so they 're going to have to unwind the transaction , or maybe they 'll have to unload the debt that was insured . so one , just by company b defaulting , maybe this guy was holding some of company a 's debt , and it was insured by insurance company 1 . now they 're going to have to unload that debt . | so what exactly is h1 betting on if they are betting on b defaulting -- defaulting on one specific loan ( such as the loan to p2 ) or defaulting on any of their liabilities ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | i1 is going to owe p2 $ 2 billion , right ? i2 , the second insurer , is going to owe this hedge fund $ 10 billion . now let 's just assume i2 's good for the money . | how can the hedge funds who are betting against the corporation going bankrupt value the corporation at 10 billion dollars ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | and i doubt that was the only person you have to pay , maybe they have to pay out a lot of money . now i2 , insurance company 2 , you are undercapitalized . i am now going to downgrade your rating . | question : if a company that you have a cds insurance policy defaults , and you owe the insurer 200 bp ( 2 % ) , do you give them 2 % on the principal amount , or do you give them 2 % on zero ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | right ? or maybe they also insured a 's debt . so maybe they gave some insurance on a 's debt , as well . | is it just that the banks are insured by the central bank ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | but all of a sudden , when this guy is b+ , and this guy insured , let 's say , some other corporation 's debt for this pension fund , now all of a sudden this insurance that this pension fund had is no longer double a insurance . it 's now b+ insurance , and maybe this pension fund , by its charter , ca n't hold somet... | how can the hedge fund predict b is gon na collapse but insurer 2 ca n't see it coming ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | but something else is interesting here . they probably did insurance to a lot of other people too , maybe on b 's debt . right ? | immediately , moody 's downgrades i2 from aa to b+ , certainly a lot of people would n't want to lend a money anymore , because a 's debt is insured by an under capitalized insurance company with poor credit , would they ? |
so let 's see if we can get a big picture of everything that 's happening in this credit default swap market . i 'll speak in generalities . let 's say we have corporation a , corporation b , corporation c. and let 's say we have a bunch of people who write the credit default swaps , and i 'll call them insurers . beca... | right ? but something else is interesting here . they probably did insurance to a lot of other people too , maybe on b 's debt . right ? | because if they are so much smarter than everybody else , and if they have a big interest in a return of their investment , then they probably only invest in a cds that is very likely to fail ? |
- try to pause the video and figure out what 71 plus 24 is . all right , now let 's do this together . so let 's think about what 71 actually means . well we have a one in the ones place . let me make this clear . so this is the ones place and we have one one . so that 's that one one right over there . and then the te... | this right over here , 71 boxes . now we 're going to add to that two tens . we 're gon na add to that two tens ; you see them here . | how can you add 2 digit numbers without making an even number ? |
- try to pause the video and figure out what 71 plus 24 is . all right , now let 's do this together . so let 's think about what 71 actually means . well we have a one in the ones place . let me make this clear . so this is the ones place and we have one one . so that 's that one one right over there . and then the te... | - try to pause the video and figure out what 71 plus 24 is . all right , now let 's do this together . | what is 45 + 50 ? |
( music ) ( `` in the sky with diamonds '' by scalding lucy ) steven : i 'm looking at this gorgeous , subtle painting by giovanni bellini of the `` ecstasy of saint francis '' , but i 'm not seeing the seraphim , i 'm not seeing the gold rays , i 'm not seeing all of the stage props of divinity that i expect to see . ... | ( music ) ( `` in the sky with diamonds '' by scalding lucy ) steven : i 'm looking at this gorgeous , subtle painting by giovanni bellini of the `` ecstasy of saint francis '' , but i 'm not seeing the seraphim , i 'm not seeing the gold rays , i 'm not seeing all of the stage props of divinity that i expect to see . ... | where is the frick collection located ? |
( music ) ( `` in the sky with diamonds '' by scalding lucy ) steven : i 'm looking at this gorgeous , subtle painting by giovanni bellini of the `` ecstasy of saint francis '' , but i 'm not seeing the seraphim , i 'm not seeing the gold rays , i 'm not seeing all of the stage props of divinity that i expect to see . ... | he opens his mouth , but there 's something about the subject and the miraculousness of what 's happening that makes one expect drama and pain , but instead it 's all very gentle , subtle and lovely . steven : this is a painting that is about light . oil allowed bellini to be able to create this sense of luminosity . | what is the size of this painting ? |
( music ) ( `` in the sky with diamonds '' by scalding lucy ) steven : i 'm looking at this gorgeous , subtle painting by giovanni bellini of the `` ecstasy of saint francis '' , but i 'm not seeing the seraphim , i 'm not seeing the gold rays , i 'm not seeing all of the stage props of divinity that i expect to see . ... | ( music ) ( `` in the sky with diamonds '' by scalding lucy ) steven : i 'm looking at this gorgeous , subtle painting by giovanni bellini of the `` ecstasy of saint francis '' , but i 'm not seeing the seraphim , i 'm not seeing the gold rays , i 'm not seeing all of the stage props of divinity that i expect to see . ... | is there a hole in the cloud ? |
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