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: the purpose of the immune system is to fight things . to fight bacteria and viruses and other things that you do n't want in your body . that 's what it does . the question we can ask is how does the immune system know not to attack your own body , and that might seem like a strange question or an obvious question b...
by the way we 're talking about b cells here . b cells . everything we 're saying is equally applicable to t cells .
if this bacteria has n't previous been identified and thus cytokines are n't present at the site are these b-cells ( dendritic cells etc ) just expected to bump into them ?
let 's just do a ton of more examples , just so we make sure that we 're getting this trig function thing down well . so let 's construct ourselves some right triangles . let 's construct ourselves some right triangles , and i want to be very clear . the way i 've defined it so far , this will only work in right triang...
so this does equal four squared , it does equal four squared . it satisfies the pythagorean theorem and if you remember some of your work from 30 60 90 triangles that you might have learned in geometry , you might recognize that this is a 30 60 90 triangle . this right here is our right angle , - i should have drawn it...
what is a 30 , 60 , 90 triangle ?
let 's just do a ton of more examples , just so we make sure that we 're getting this trig function thing down well . so let 's construct ourselves some right triangles . let 's construct ourselves some right triangles , and i want to be very clear . the way i 've defined it so far , this will only work in right triang...
adjacent means next to . so two square roots of three so this is equal to ... the twos cancel out one over the square root of three or we could multiply the numerator and the denominator by the square root of three . so we have square root of three over square root of three and so this is going to be equal to the numer...
why could n't sal just square the numerator and the denominator ?
let 's just do a ton of more examples , just so we make sure that we 're getting this trig function thing down well . so let 's construct ourselves some right triangles . let 's construct ourselves some right triangles , and i want to be very clear . the way i 've defined it so far , this will only work in right triang...
the hypotenuse is the square root of sixty-five . square root of sixty-five . and once again if we wanted to rationalize this , we could multiply times the square root of 65 over the square root of 65 and the the numerator , we will get seven square root of 65 and in the denominator we will get just sixty-five again .
why is tan of 30 degrees = square root of 3 over 3 but tan of 60 degrees = square root of 3 only ?
let 's just do a ton of more examples , just so we make sure that we 're getting this trig function thing down well . so let 's construct ourselves some right triangles . let 's construct ourselves some right triangles , and i want to be very clear . the way i 've defined it so far , this will only work in right triang...
let 's just do a ton of more examples , just so we make sure that we 're getting this trig function thing down well . so let 's construct ourselves some right triangles .
when are sin , cos and tan to be used ?
let 's just do a ton of more examples , just so we make sure that we 're getting this trig function thing down well . so let 's construct ourselves some right triangles . let 's construct ourselves some right triangles , and i want to be very clear . the way i 've defined it so far , this will only work in right triang...
now let 's find the trig , let 's find the trig functions for this angle up here . let 's call that angle up there theta . so whenever you do it you always want to write down - at least for me it works out to write down - `` soh cah toa '' .
what if you made theta the right angle ?
let 's just do a ton of more examples , just so we make sure that we 're getting this trig function thing down well . so let 's construct ourselves some right triangles . let 's construct ourselves some right triangles , and i want to be very clear . the way i 've defined it so far , this will only work in right triang...
now let 's find the trig , let 's find the trig functions for this angle up here . let 's call that angle up there theta . so whenever you do it you always want to write down - at least for me it works out to write down - `` soh cah toa '' .
is it possible to make theta the right angle ?
let 's just do a ton of more examples , just so we make sure that we 're getting this trig function thing down well . so let 's construct ourselves some right triangles . let 's construct ourselves some right triangles , and i want to be very clear . the way i 've defined it so far , this will only work in right triang...
the hypotenuse is the square root of sixty-five . square root of sixty-five . and once again if we wanted to rationalize this , we could multiply times the square root of 65 over the square root of 65 and the the numerator , we will get seven square root of 65 and in the denominator we will get just sixty-five again .
sin square a+cos square a=1 , why ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
so this -- or not the outer angles , or these combined angles . so angle say ac -- or say , angle abe , so this whole angle we see is 60 degrees . this angle is 90 degrees , and this angle here is 30 .
how is angle abc congruent with angle cbd ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
it has different measures for its lengths , but it has the same angles 30 , 60 , and then 90 . so it 's actually similar to all of the triangles that it 's made up of .
how is the order of the letters important for the triangles ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
i understand why it 's important for angles , but how is triangle abc different from triangle cba ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
so let 's just start with the information that they 've actually given us . so we know that triangle bcd is congruent to -- well , we know all of these three triangles are congruent to each other . so , for example , bcd is congruent to ecd , and so their corresponding sides and corresponding angles will also be congru...
is it just in comparing triangles , so that in the congruent triangles bcd and bca , the angles in the vertices of the first positioned letter must congruent with each other , as well as the second with the second and the third with the third ( hope you understand mean ; ) ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
well , we have these two characters up here . they are both equal and they add up to 180 degrees . they are supplementary , the only way you can have two equal things that add up to 180 is if they 're both 90 degrees .
how can we be sure that the three angles equal 180 degrees ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
it has different measures for its lengths , but it has the same angles 30 , 60 , and then 90 . so it 's actually similar to all of the triangles that it 's made up of .
is this true for all types of triangles ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
so we know that triangle bcd is congruent to -- well , we know all of these three triangles are congruent to each other . so , for example , bcd is congruent to ecd , and so their corresponding sides and corresponding angles will also be congruent . so just looking at the order in which they 're written b , vertex b co...
i may have forgotten from a previous video , but how do you recognize , without a protractor or ruler , what the corresponding angles are ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
is there a proof that a shape made of 3 congruent triangles must also be a triangle ( and not some extreme quadrilateral where angle ace could be not 180 , but 179.99 degrees or something ) ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
it has different measures for its lengths , but it has the same angles 30 , 60 , and then 90 . so it 's actually similar to all of the triangles that it 's made up of .
does the order of how the triangles are written matter ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
so let 's just start with the information that they 've actually given us . so we know that triangle bcd is congruent to -- well , we know all of these three triangles are congruent to each other . so , for example , bcd is congruent to ecd , and so their corresponding sides and corresponding angles will also be congru...
how do you know if any angles/ sides are congruent or not ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
so these three angles are going to be congruent . and i think you could already guess a way to come up with the values of those three angles . but let 's keep looking at everything else that they 're telling us .
what is the best way for understanding geometry deeply ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
so we know that triangle bcd is congruent to -- well , we know all of these three triangles are congruent to each other . so , for example , bcd is congruent to ecd , and so their corresponding sides and corresponding angles will also be congruent . so just looking at the order in which they 're written b , vertex b co...
can someone give me a general definition of corresponding angles and a definition of congruent angles ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
we know that because they 're congruent . and what 's interesting is when you put them together this way , they construct this larger triangle , triangle abe , that 's clearly not congruent . it 's a larger triangle . it has different measures for its lengths , but it has the same angles 30 , 60 , and then 90 .
so is that true for every time you take three congruent triangles and put them together to make a larger triangle ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
and what 's interesting is when you put them together this way , they construct this larger triangle , triangle abe , that 's clearly not congruent . it 's a larger triangle . it has different measures for its lengths , but it has the same angles 30 , 60 , and then 90 .
will that larger triangle always be similar and have the same angle measures as each of the smaller triangles ?
so we have this larger triangle here and inside of that , we have these other triangles , and we 're given this information right over here . that triangle bcd is congruent to triangle bca , which is congruent to triangle ecd . and given just this information , what i want to do in this drawing , i want to figure out w...
so we know that triangle bcd is congruent to -- well , we know all of these three triangles are congruent to each other . so , for example , bcd is congruent to ecd , and so their corresponding sides and corresponding angles will also be congruent . so just looking at the order in which they 're written b , vertex b co...
how do you name corresponding angles from each pair of congruent figures ?
five thousands equals how many hundreds ? there 's probably a few ways we could take this on , but maybe let 's start by thinking about these five thousands . five thousands is 1,000 , five times . so let 's think about each of those thousands , each of those five thousands . in 1,000 , how many hundreds are in 1,000 ...
in 1,000 , how many hundreds are in 1,000 ? 1,000 equals how many hundreds ? well let 's see , let 's count by hundreds until we get to 1,000 , and i 'll keep a little tally mark so we can keep count of how many hundreds it takes us to get to 1,000 .
how many hundreds are in 50,000 ?
five thousands equals how many hundreds ? there 's probably a few ways we could take this on , but maybe let 's start by thinking about these five thousands . five thousands is 1,000 , five times . so let 's think about each of those thousands , each of those five thousands . in 1,000 , how many hundreds are in 1,000 ...
here 's another one . 30 tens equals how many hundreds ? so this time we 're looking at tens and hundreds .
how many tens are there in 1920 ?
beth harris : we 're in the kunsthistorisches museum in vienna and we 're looking at bruegel 's amazing painting , `` the tower of babel . '' steven zucker : i really love this painting . beth harris : me too . steven zucker : it 's just there 's so much to look at , and it reminds you that before movies , before video...
beth harris : we really have bruegel the architect here . the tower is so fun . we want to go into it .
in the painting the tower seems to have it 's floor at a very high slant is this just me or was this on purpose or an accident ?
let 's say there 's some company a here . and let 's think about what its stock might be doing . let 's say this is just over the course of the day . let 's say its stock is just trading right over here . so as we go through the day , it 's price naturally changes . but then right over here -- let 's say this is within...
so what do you think would happen to the stock of company a ? we know that b intends to buy it for $ 10 a share . well , you could imagine if everyone thought that this is definitely going to happen , that anyone who holds the stock is going to get $ 10 .
why on earth b would buy a for 10 , when it could buy it at the current price , around 5 ?
let 's say there 's some company a here . and let 's think about what its stock might be doing . let 's say this is just over the course of the day . let 's say its stock is just trading right over here . so as we go through the day , it 's price naturally changes . but then right over here -- let 's say this is within...
you might say , well , why does it trade at $ 8 ? and it would trade at $ 8 -- so notice , if there was 100 % chance it would trade all the way to $ 10 , right , because that 's what stock a would be worth now , because b is going to pay that . but if it trades at $ 8 essentially the market is saying that we 're going ...
where and what kind of information would a hedge fund be able to discover about a merger that would tell them how to invest that would n't considered insider trading ?
let 's say there 's some company a here . and let 's think about what its stock might be doing . let 's say this is just over the course of the day . let 's say its stock is just trading right over here . so as we go through the day , it 's price naturally changes . but then right over here -- let 's say this is within...
maybe they still have to get the funding from some bank , they still have to get a loan in order to be able to do this deal . maybe something else happens . maybe there 's another bidder who wants to acquire a and they 're willing to pay more .
can someone help me understand the intuition of what happens to stock price during and after an acquisition ?
let 's say there 's some company a here . and let 's think about what its stock might be doing . let 's say this is just over the course of the day . let 's say its stock is just trading right over here . so as we go through the day , it 's price naturally changes . but then right over here -- let 's say this is within...
so if they 're able to acquire a , everyone who owns a share of company a will get $ 10 for it , and those shares will go to company b . company b will own company a all of a sudden . so what do you think would happen to the stock of company a ?
why does the stock of company a rise when company b acquires a ?
let 's say there 's some company a here . and let 's think about what its stock might be doing . let 's say this is just over the course of the day . let 's say its stock is just trading right over here . so as we go through the day , it 's price naturally changes . but then right over here -- let 's say this is within...
so if they 're able to acquire a , everyone who owns a share of company a will get $ 10 for it , and those shares will go to company b . company b will own company a all of a sudden . so what do you think would happen to the stock of company a ?
why would company b decide to publicly announce that they are going to acquire company a ?
let 's say there 's some company a here . and let 's think about what its stock might be doing . let 's say this is just over the course of the day . let 's say its stock is just trading right over here . so as we go through the day , it 's price naturally changes . but then right over here -- let 's say this is within...
the people who think it wo n't , they will short , expecting it to go to $ 5 . and this strategy of playing the probabilities of a merger happening , this is called merger arbitrage . merger arb , sometimes called for short .
why is this even called `` arbitrage '' when it has potential negative net cashflow , and therefore is not risk-free ?
let 's say there 's some company a here . and let 's think about what its stock might be doing . let 's say this is just over the course of the day . let 's say its stock is just trading right over here . so as we go through the day , it 's price naturally changes . but then right over here -- let 's say this is within...
and it 's arbitrage because someone who feels like they know the merger is going to happen , they can buy something for $ 8 and then sell . or they could buy something for $ 8 that is going to be worth $ 10 . they can sell it for $ 10 at some future date when b acquires a company .
could someone explain the 60 % probability when it is at $ 8 ?
-- different components here for our bit-zee bot . and we 're going to take our tap light apart and see if we can use the structure , the outer ring of the tap light as a way of supporting or creating a structure for our bit-zee bot . so we 're taking all the screws out , and we 're going to take the tap light apart . ...
and the dremel comes with this fitting that you can put on . you have to take the collar on the top off . and then once you 've removed that collar , you can put this fitting on , and this fitting will allow you to basically use the dremel like a router .
0 in the top left corner a homemade magnet motor ?
-- different components here for our bit-zee bot . and we 're going to take our tap light apart and see if we can use the structure , the outer ring of the tap light as a way of supporting or creating a structure for our bit-zee bot . so we 're taking all the screws out , and we 're going to take the tap light apart . ...
-- different components here for our bit-zee bot . and we 're going to take our tap light apart and see if we can use the structure , the outer ring of the tap light as a way of supporting or creating a structure for our bit-zee bot . so we 're taking all the screws out , and we 're going to take the tap light apart .
where can you buy the tap light ?
-- different components here for our bit-zee bot . and we 're going to take our tap light apart and see if we can use the structure , the outer ring of the tap light as a way of supporting or creating a structure for our bit-zee bot . so we 're taking all the screws out , and we 're going to take the tap light apart . ...
-- different components here for our bit-zee bot . and we 're going to take our tap light apart and see if we can use the structure , the outer ring of the tap light as a way of supporting or creating a structure for our bit-zee bot .
does the bit-zee bot have a lid ?
-- different components here for our bit-zee bot . and we 're going to take our tap light apart and see if we can use the structure , the outer ring of the tap light as a way of supporting or creating a structure for our bit-zee bot . so we 're taking all the screws out , and we 're going to take the tap light apart . ...
and you can see the base of it has a lot of features on it . screw features , and battery holder features , and so we 're going to see if we can use the material -- i 'm just lining up the motor see if it fits there with the ring -- and then we 're going to see if we can use the material that 's flat , like this sheet ...
how do 4 batteries in this configuration of any size between aaa and d ( not including 9 volt ) : x x x x have a total voltage of 12 volts when 4 * 1.5 v ( voltage of the battery ) = 6 v ?
-- different components here for our bit-zee bot . and we 're going to take our tap light apart and see if we can use the structure , the outer ring of the tap light as a way of supporting or creating a structure for our bit-zee bot . so we 're taking all the screws out , and we 're going to take the tap light apart . ...
-- different components here for our bit-zee bot . and we 're going to take our tap light apart and see if we can use the structure , the outer ring of the tap light as a way of supporting or creating a structure for our bit-zee bot . so we 're taking all the screws out , and we 're going to take the tap light apart .
cant we use a ready made chassis instead of the tap light one ?
-- different components here for our bit-zee bot . and we 're going to take our tap light apart and see if we can use the structure , the outer ring of the tap light as a way of supporting or creating a structure for our bit-zee bot . so we 're taking all the screws out , and we 're going to take the tap light apart . ...
and the dremel comes with this fitting that you can put on . you have to take the collar on the top off . and then once you 've removed that collar , you can put this fitting on , and this fitting will allow you to basically use the dremel like a router .
0 in the top left corner a homemade magnet motor ?
-- different components here for our bit-zee bot . and we 're going to take our tap light apart and see if we can use the structure , the outer ring of the tap light as a way of supporting or creating a structure for our bit-zee bot . so we 're taking all the screws out , and we 're going to take the tap light apart . ...
screw features , and battery holder features , and so we 're going to see if we can use the material -- i 'm just lining up the motor see if it fits there with the ring -- and then we 're going to see if we can use the material that 's flat , like this sheet of lexan to support the internal components . the original pi...
will hot gluing a piece of round cardboard to it be just as effective or does it have to be stronger than that ?
let 's talk a little bit about the element , phosphorous , and its importance to life and how it cycles through living systems . so we 're gon na talk about the phosphorous cycle . first , it 's important to appreciate that phosphorous is a very reactive element , so it 's seldom found by itself . normally , we find i...
then you might say , `` i have atp and dna in my body . `` how do i get phosphates ? '' well , you get it by eating plants . this is you eating a plant .
how do air plants like telanzia 's and moss get there phosphorous ?
( lighthearted music ) : we 're looking at a german artist , gerhard richter 's painting `` betty '' . : this is a painting ? : yeah , this is not a photograph . : it was done by a human being ? : ( laughs ) yes , a living contemporary artist . : this is interesting ; i know we 've talked about the camera coming ...
( lighthearted music ) : we 're looking at a german artist , gerhard richter 's painting `` betty '' . : this is a painting ? : yeah , this is not a photograph .
how does this painting look so real ?
( lighthearted music ) : we 're looking at a german artist , gerhard richter 's painting `` betty '' . : this is a painting ? : yeah , this is not a photograph . : it was done by a human being ? : ( laughs ) yes , a living contemporary artist . : this is interesting ; i know we 've talked about the camera coming ...
( lighthearted music ) : we 're looking at a german artist , gerhard richter 's painting `` betty '' . : this is a painting ?
is `` candle 1 , 1988 '' ( ) on the cover of sonic youth 's `` daydream nation '' ?
( lighthearted music ) : we 're looking at a german artist , gerhard richter 's painting `` betty '' . : this is a painting ? : yeah , this is not a photograph . : it was done by a human being ? : ( laughs ) yes , a living contemporary artist . : this is interesting ; i know we 've talked about the camera coming ...
she 's not gon na let us see her face . : but , why could n't have this just been a photograph ? : i think that 's a really interesting issue .
was n't `` candle i '' originally from 1982 ?
( lighthearted music ) : we 're looking at a german artist , gerhard richter 's painting `` betty '' . : this is a painting ? : yeah , this is not a photograph . : it was done by a human being ? : ( laughs ) yes , a living contemporary artist . : this is interesting ; i know we 've talked about the camera coming ...
( lighthearted music ) : we 're looking at a german artist , gerhard richter 's painting `` betty '' . : this is a painting ? : yeah , this is not a photograph .
was this painting made from a picture , or was it a live model ?
the function m is given in three equivalent forms . which form most quickly reveals the y-intercept ? so let 's just remind ourselves . if i have a function , the graph y is equal to m of x . and these are all equivalent forms , they tell us that . the function m is given in three equivalent forms . i should be able t...
so it 's given in those same three forms . which form most quickly reveals the vertex ? well i just called this vertex form before , but what 's valuable about the vertex form is you can really say , `` okay , this is going to be , `` this is going to achieve its vertex `` when this thing over here is equal to zero . '...
is there anyway to intuitively tell what form most quickly reveals the roots , vertex , and y-intercept ?
when we wire blocks together , we will often run into a problem , and it 's a range mismatch . for example , if we had the light intensity value being plugged into the pitch input of the speaker , let 's see what would happen . our light intensity value will send it a number between 0 and 100 . however , the pitch inpu...
it takes two inputs , a and b , which you can plug into just like i 've shown you , and it spits out an output . so what you could do is multiply things together , or scale a number , or say , take whatever a is and add 5 to it and spit that as your output . so in this case , i have a light sensor and a sound sensor , ...
can u add regular dividing fractions ?
when we wire blocks together , we will often run into a problem , and it 's a range mismatch . for example , if we had the light intensity value being plugged into the pitch input of the speaker , let 's see what would happen . our light intensity value will send it a number between 0 and 100 . however , the pitch inpu...
so if we 'd plug these in directly , we actually would only hit 10 % of all the values here , and this means this number would need to be scaled by some amount . and that is when we can use our math block to help us . the math block is very simple .
of all the inputs and outputs so i can know what operations in the math block i can use ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
you can see that 's clockwise right here . and so clockwise is r. so the configuration of this chiral center is r. now let 's look at this compound . so we have only one chiral center to worry about , it 's this one right here .
are the name of the molecules ( r ) -1-methyl-cyclohexene and ( s ) -3-bromo-3-chloro-pentane ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
so we 're staring down , staring down this carbon , carbon bond . so let 's rotate the molecule . and it 's a little bit different perspective but we 're still able to see a red bromine to the left , a yellow chlorine to the right and an isopropyl group up .
how is that molecule in the s formation ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
well , it 's bonded to carbon , carbon , hydrogen . so carbon , carbon , hydrogen . this carbon is directly bonded to carbon , hydrogen , hydrogen .
for 3-tertbutyl butan-2-ol how would you explain stereochemistry around carbon2-carbon3 when carbon three has 3 methyl groups around it ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
so for the carbon on the right here , this carbon is directly bonded to a carbon here , a carbon here , and then of course a hydrogen . so we write that in as carbon , carbon , hydrogen . and then for the carbon on the left , so this carbon , that carbon 's bonded to a carbon and two hydrogens . so we write in carbon ,...
why would n't you count the carbon on the 3rd priority rank , and only 3 hydrogens at the top ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
so we 're staring down , staring down this carbon , carbon bond . so let 's rotate the molecule . and it 's a little bit different perspective but we 're still able to see a red bromine to the left , a yellow chlorine to the right and an isopropyl group up .
as a method to assign handedness in terms of r , s values to the molecule ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
and for the purposes of r and s system , we 're going to pretend like this carbon is bonded to two different carbons , even though it 's really one . so that 's how to handle a double bond . going this way around the ring , we hit a ch2 , so i 'm gon na draw that in .
why do you bifurcate the double bond to give two carbons ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
if you stare down , if you stare down this bond , let me go ahead and change colors here , if you look down at this carbon , carbon bond here , so if you put your eye along this axis , so here 's your eye , that would mean your lowest priority group , your ethyl group , would be going away from you . so that 's another...
can you consider increasing the sensitivity of your microphone , place it closer , or do whatever you need to do so i can hear you without turning volume all the way up and leaning into the speakers of my macbook ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
and then we hit another ch2 right here . so ch2 . and then this carbon is bonded to this carbon .
i am confused on this , so why do we ignore the c on the methyl group to label hhh but include the c on the ch2 's and label chh in the ring structure when breaking the tie ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
well , it 's bonded to carbon , carbon , hydrogen . so carbon , carbon , hydrogen . this carbon is directly bonded to carbon , hydrogen , hydrogen .
in the first example , can we prioritize the groups if there is no double bond in c3 carbon ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
so i 'm going to a video in a second , and in the video i 'm gon na show you two different ways to think about putting this group going away from you in space . so one way would be to just think about an axis through this carbon here and then rotate , and then rotate around this axis until your lowest priority group is...
would n't it be easier if jay had rotated the molecule around the axis joining the stereogenic carbon and the propyl group attached to it ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
so we keep going and we get carbon versus hydrogen . so the carbon wins , and this group gets the higher priority . so this isopropyl group is a higher priority than this ethyl group .
does nh2 or cooh have a higher priority for r , s system ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
so we write that in as carbon , carbon , hydrogen . and then for the carbon on the left , so this carbon , that carbon 's bonded to a carbon and two hydrogens . so we write in carbon , hydrogen , hydrogen .
can there be two carbons connected to the last carbon on the left chain , then determine the priority ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
well , it 's bonded to carbon , carbon , hydrogen . so carbon , carbon , hydrogen . this carbon is directly bonded to carbon , hydrogen , hydrogen .
if not , how can we know which chain should we attach the second carbon for double bond ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
now that we 've assigned priority to our groups , we need to orient the molecules so the lowest priority group is pointing away from us . and the lowest priority group is group number four . so i 'm going to a video in a second , and in the video i 'm gon na show you two different ways to think about putting this group...
will rotation follow this order functional group 1 br to functional group 4 , 4 to 3 , 3 to 2 , 2 to 1 ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
so here 's what we saw when we stared down our carbon , carbon bond . so this carbon is our chiral center . so that 's this one right here .
how come the chiral center carbon has the same two groups of ch2 on both sides but its a chiral center ?
let 's get some more practice with the r , s system . so we 'll start with this compound right here . we already know from earlier videos that this carbon is a chiral center . so let me go ahead and redraw everything because it 's gon na help us assign a configuration . so that 's that carbon . we have a methyl group ...
and for the purposes of r and s system , we 're going to pretend like this carbon is bonded to two different carbons , even though it 's really one . so that 's how to handle a double bond . going this way around the ring , we hit a ch2 , so i 'm gon na draw that in .
what is the logic behind considering two carbons instead of 1 when encountered with a double bond ?
so we 're told that angle a is circumscribed about circle o . so this is angle a right over here , we 're talking about this angle right over there . and when they say it 's circumscribed about circle o that means that the two sides of the angle they 're segments that would be part of tangent lines , so if we were to ...
so what can we figure out ? well just like in the last question we have a quadrilateral here , quadrilateral a , b , o , c and we know two of the angles , we know this is going to be a right angle we have a radius intersecting with a tangent , or part of a tangent i guess you could say . and then this would be a right ...
would this then expand the inscribed quadrilateral theorem ?
so we 're told that angle a is circumscribed about circle o . so this is angle a right over here , we 're talking about this angle right over there . and when they say it 's circumscribed about circle o that means that the two sides of the angle they 're segments that would be part of tangent lines , so if we were to ...
so this is angle a right over here , we 're talking about this angle right over there . and when they say it 's circumscribed about circle o that means that the two sides of the angle they 're segments that would be part of tangent lines , so if we were to continue , so for example that right over there , that line is ...
so would that be the case for all circumscribed angles made from tangent lines ?
so we 're told that angle a is circumscribed about circle o . so this is angle a right over here , we 're talking about this angle right over there . and when they say it 's circumscribed about circle o that means that the two sides of the angle they 're segments that would be part of tangent lines , so if we were to ...
so we 're told that angle a is circumscribed about circle o . so this is angle a right over here , we 're talking about this angle right over there .
to go with the question before mine , would any circumscribed quadrilateral be a inscribed quadrilateral to some other circle ?
so we 're told that angle a is circumscribed about circle o . so this is angle a right over here , we 're talking about this angle right over there . and when they say it 's circumscribed about circle o that means that the two sides of the angle they 're segments that would be part of tangent lines , so if we were to ...
well just like in the last question we have a quadrilateral here , quadrilateral a , b , o , c and we know two of the angles , we know this is going to be a right angle we have a radius intersecting with a tangent , or part of a tangent i guess you could say . and then this would be a right angle and so by the same log...
why angle b and c=90 degree ?
so we 're told that angle a is circumscribed about circle o . so this is angle a right over here , we 're talking about this angle right over there . and when they say it 's circumscribed about circle o that means that the two sides of the angle they 're segments that would be part of tangent lines , so if we were to ...
and so if we 're trying to find this angle , the measure of angle d , that 's an inscribed angle that intercepts the same arc . and we 've seen in previous videos that an inscribed angle that intercepts that arc is going to have half the arc 's measure . so if this is a 100 degree measured arc , then the measure of thi...
where is the video where we learn about inscribed angles that intercept an arc , as sal mentions ?
so we 're told that angle a is circumscribed about circle o . so this is angle a right over here , we 're talking about this angle right over there . and when they say it 's circumscribed about circle o that means that the two sides of the angle they 're segments that would be part of tangent lines , so if we were to ...
and so if we 're trying to find this angle , the measure of angle d , that 's an inscribed angle that intercepts the same arc . and we 've seen in previous videos that an inscribed angle that intercepts that arc is going to have half the arc 's measure . so if this is a 100 degree measured arc , then the measure of thi...
5 , can you just skip the step in which sal finds the measure of the arc and go straight to finding the solution ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
if we do the same thing a second time , we have created two bars or two measures . the word measure and bar are used interchangeably . let 's use our five note values in four/four .
how do people measure speed and know how fast or slow to go ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
let 's use our five note values in four/four . the whole note gets four beats . if you find a whole note in music with a time signature of four/four , we would play or sing a single note and it would last the whole bar .
in how much does a whole note count for ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
let 's use our five note values in four/four . the whole note gets four beats . if you find a whole note in music with a time signature of four/four , we would play or sing a single note and it would last the whole bar .
what is a double whole note ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
we first begin with a time signature . the one that i 'm choosing is four/four . the top number indicates how many regular pulses or beats are in each measure or bar .
so are there other time signatures than four/four ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
two of these equal a half note . four of these equal a whole note . an eighth note is like a quarter note plus a flag . two of these equal a quarter note .
whats the diffenets between a whole note and a eighth note , besides the way it looks ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in .
how do people remember all these notes ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in .
why does 2 16th notes equal an 8th note ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
now let 's look at how these notes specifically apply to music . we first begin with a time signature . the one that i 'm choosing is four/four .
so , what 's the point of a time signature ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in .
a half note is one beat right ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
let 's listen to the beginning of dvorak 's `` new world symphonies : slow movement '' this brass chorale has three measures or three bars of half notes and then one measure of whole note . ( classical brass music ) ( music swells )
what music is being played ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
now let 's look at how these notes specifically apply to music . we first begin with a time signature . the one that i 'm choosing is four/four .
how does 3/8 of the time signature get measured ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
two of these equal a half note . four of these equal a whole note . an eighth note is like a quarter note plus a flag . two of these equal a quarter note .
what is the fastest note ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value .
can someone please explain , exactly what the 4,4 meant ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
two of these equal a half note . four of these equal a whole note . an eighth note is like a quarter note plus a flag . two of these equal a quarter note .
is there a 1/32 note ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note .
is there a difference whether the stem is on top , or on the bottom ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
let 's use our five note values in four/four . the whole note gets four beats . if you find a whole note in music with a time signature of four/four , we would play or sing a single note and it would last the whole bar .
why do tempos increase as the song gets faster ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
the word measure and bar are used interchangeably . let 's use our five note values in four/four . the whole note gets four beats .
do you guys have any recomendation for a android app to use as a metronome ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of these equal a half note .
how do you mix a sixteenth note and a half note ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in .
how long will the notes be ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
let 's use our five note values in four/four . the whole note gets four beats . if you find a whole note in music with a time signature of four/four , we would play or sing a single note and it would last the whole bar .
how long in seconds does a whole note last for , and what is that weird dripping noise in the background ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value .
what 's the difference between minor and major ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
let 's use our five note values in four/four . the whole note gets four beats . if you find a whole note in music with a time signature of four/four , we would play or sing a single note and it would last the whole bar .
what is a note that has more than 4 beats ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
let 's listen to the beginning of dvorak 's `` new world symphonies : slow movement '' this brass chorale has three measures or three bars of half notes and then one measure of whole note . ( classical brass music ) ( music swells )
7 notes on music scale c d e f g a b c do ray me fa so la te do is the bottom set in italian and the middle set in english ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
now let 's look at how these notes specifically apply to music . we first begin with a time signature . the one that i 'm choosing is four/four .
would there be a bar line after the time signature ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
let 's use our five note values in four/four . the whole note gets four beats . if you find a whole note in music with a time signature of four/four , we would play or sing a single note and it would last the whole bar .
how many beats would a grace note be ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
two of these equal a half note . four of these equal a whole note . an eighth note is like a quarter note plus a flag . two of these equal a quarter note .
is there any note bigger than a 32nd note ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle .
what does each note represent in terms of sound ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
let 's listen to the beginning of dvorak 's `` new world symphonies : slow movement '' this brass chorale has three measures or three bars of half notes and then one measure of whole note . ( classical brass music ) ( music swells )
what is soul music and what are some famous soul music singers ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
the top number indicates how many regular pulses or beats are in each measure or bar . the lower number tells us what kind of note is equal to one beat . therefore , if we write four quarter notes in four/four , the bar is over and we add a bar line .
does the mark relate to how long the beat is ?
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value . here are five note values . a whole note which is a circle . a half note which is a circle with a stem . so two half notes equal one whole note . a quarter note is like a half note but it 's filled in . two of thes...
a note represents the pitch and duration of a musical sound . let 's begin with duration or note value .
what does it mean ?