Split (1)

train · 116k rows

role stringclasses 2 values	content stringlengths 0 2.1k	session_id int64 10 21.7k	sequence_id int64 0 2.38k	annotations listlengths 0 8
volunteer	and come out with these, you know,	15,082	624	[]
volunteer	typically we're going to get log results, natural log results.	15,082	625	[]
volunteer	um, which, you know, isn't, it comes out kind of clean sometimes and then you, you're dealing with libra properties. But that's kind of like	15,082	626	[]
volunteer	you know, it's, it's interesting	15,082	627	[]
volunteer	how we, how you can do that cause technically you can	15,082	628	[]
volunteer	go use, if we went back to um	15,082	629	[]
volunteer	the rig identities	15,082	630	[]
volunteer	where are they? Technically we could use substitution method in partial fraction decomposition.	15,082	631	[]
volunteer	um if there's a denominator. Um	15,082	632	[]
volunteer	and solve it that way, you know.	15,082	633	[]
volunteer	And it's not, it's another thing that you can only use	15,082	634	[]
volunteer	partial fashion decomposition when you have um	15,082	635	[]
volunteer	A denominator that is not that simple.	15,082	636	[]
student	numerator	15,082	637	[]
volunteer	right? The deno where the denominator is not just a constant. You actually have an expression as your denominator.	15,082	638	[]
volunteer	Oh man, I got all these eraser crumbs on me.	15,082	639	[]
volunteer	The numerator	15,082	640	[]
volunteer	Well, I mean, partial fraction and composition is when you have	15,082	641	[]
volunteer	an	15,082	642	[]
volunteer	expression in the denominator that is non-constant.	15,082	643	[]
volunteer	right? We actually have	15,082	644	[]
volunteer	X terms or cosine terms that just that uh polynomial of the degree than one.	15,082	645	[]
volunteer	which you technically do for	15,082	646	[]
volunteer	trig functions as well. Say you have tangent or something.	15,082	647	[]
volunteer	but that's not	15,082	648	[]
volunteer	a whole expression.	15,082	649	[]
volunteer	Where is the trigger identities?	15,082	650	[]
volunteer	I am just	15,082	651	[]
volunteer	I'm lost	15,082	652	[]
volunteer	at sea. Yeah, I think we're passed it.	15,082	653	[]
volunteer	I think it was 7.3.	15,082	654	[]
volunteer	Yeah, I think it was 7.3 immigration by substitution. Oh, substitution.	15,082	655	[]
volunteer	uh	15,082	656	[]
volunteer	true identities	15,082	657	[]
student	after 7.3 i guess	15,082	658	[]
volunteer	Right, cause you could, you could solve this.	15,082	659	[]
volunteer	Um, it is 7.3.2, right? Cause there's problems you can solve just using substitution, right? Same thing here, substitution, um, kind of substitution.	15,082	660	[]
volunteer	actually won't be as clean.	15,082	661	[]
volunteer	But they're all just	15,082	662	[]
volunteer	ways of	15,082	663	[]
volunteer	defining the undefined.	15,082	664	[]
volunteer	which actually let me not use undefined because that	15,082	665	[]
volunteer	assumes that	15,082	666	[]
volunteer	in math terms, that's like infinity, you're dividing by zero or something. It's, it's a way of kind of grasping at the unknown.	15,082	667	[]
volunteer	right? We're just like, we have this object, um, it looks like other objects.	15,082	668	[]
volunteer	um, and we can make it look like other objects if we kind of	15,082	669	[]
volunteer	work it, if we look at it a certain way or we handle it a certain way or like a Rubik's cube you can kind of play with it a certain way.	15,082	670	[]
volunteer	Um, and then using	15,082	671	[]
volunteer	these tactics	15,082	672	[]
volunteer	substitution method, um, you know, trig methods, trick identities.	15,082	673	[]
volunteer	partial fraction decomposition.	15,082	674	[]
volunteer	then we can	15,082	675	[]
volunteer	solve them. They're basically algorithms.	15,082	676	[]
volunteer	Actually, they are algorithms. They're just methods.	15,082	677	[]
student	right	15,082	678	[]
volunteer	right? Um	15,082	679	[]
volunteer	OK. Well, that's	15,082	680	[]
volunteer	are you, do you have any more questions on that topic or anything you wanna	15,082	681	[]
volunteer	consider	15,082	682	[]
volunteer	before we move on	15,082	683	[]
volunteer	Sorry if I got all of a sudden, so	15,082	684	[]
volunteer	not philosophical, but	15,082	685	[]
student	no, i don't any questions right now.	15,082	686	[]
student	It was mathematically conceptual.	15,082	687	[]
student	i guess, idk	15,082	688	[]
volunteer	I mean, think about it. What is, what, what is an integral?	15,082	689	[]
volunteer	um	15,082	690	[]
volunteer	kind of crudely, it's like the area under the curve.	15,082	691	[]
volunteer	right.	15,082	692	[]
volunteer	Um, but what does that mean?	15,082	693	[]
volunteer	It's	15,082	694	[]
volunteer	I like to think of it as um integration as increasing dimensions.	15,082	695	[]
volunteer	where if you have	15,082	696	[]
volunteer	a length and you integrate it	15,082	697	[]
volunteer	it becomes an area. If you have an area, you integrate it, it becomes volume.	15,082	698	[]
volunteer	Um	15,082	699	[]
volunteer	and then	15,082	700	[]
volunteer	I don't know what the fourth dimensional form of volume is	15,082	701	[]
volunteer	the same thing for like acceleration, the velocity you're kind of adding these	15,082	702	[]
volunteer	dimensions	15,082	703	[]
volunteer	and for derivatives, it's the opposite. You're kind of taking away dimensions with like what if you consider it with respect to	15,082	704	[]
volunteer	time and then space and	15,082	705	[]
volunteer	you know, how do you	15,082	706	[]
volunteer	use these	15,082	707	[]
volunteer	their tools, but you're just kind of, you're, you're kind of changing	15,082	708	[]
volunteer	time and space as you use them, because really all you have to integrate with this time and space, or you could have units, you could have um	15,082	709	[]
volunteer	different, different things, but now you're adding these	15,082	710	[]
volunteer	um characteristics, sort of kind of getting meta with it when you have these real world applications.	15,082	711	[]
volunteer	and these, these methodologies substitution and everything.	15,082	712	[]
volunteer	are	15,082	713	[]
volunteer	kind of	15,082	714	[]
volunteer	keys to unlocking these dimensions.	15,082	715	[]
volunteer	I think I can end on that. That was cool.	15,082	716	[]
student	i saw 4d in dr strange	15,082	717	[]
volunteer	Did you really	15,082	718	[]
volunteer	The movie or	15,082	719	[]
volunteer	I think, was there a show for Doctor Strange?	15,082	720	[]
student	movie	15,082	721	[]
volunteer	Invented to Cumbretch is a movie actor, not a	15,082	722	[]
student	marvel	15,082	723	[]

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