Phy-Vec6

  • 2 days ago
Transcript
00:00:00Hello, Assalamualaikum, Shabbaikoum wa Rahmatollahi Wabaraktoh.
00:00:29Assalamualaikum, Shabbaikoum wa Rahmatollahi Wabaraktoh.
00:00:59Assalamualaikum, Shabbaikoum wa Rahmatollahi Wabaraktoh.
00:01:30I will take a problem solving class of yours.
00:01:32Before that, I will give another record of your homework solving.
00:01:36I will record a class of the homework that I gave.
00:01:42Because I saw many people trying to solve. This is necessary.
00:01:46Listen.
00:01:47If you try to solve everything, then your brain will not work.
00:01:53So, first of all, make a solution.
00:01:56That's why I didn't give the solutions before.
00:01:58I just gave the answers. You have to do the process.
00:02:01You have already tried a lot.
00:02:04So, I will make a solve video.
00:02:09I will make a solve class of all the homework that you gave till now.
00:02:18Okay?
00:02:20So, it's done.
00:02:22Right?
00:02:24Or what?
00:02:27Everyone can see me.
00:02:29Can't you see me?
00:02:33Everyone can see me.
00:02:35What's the matter?
00:02:37Can't you see me?
00:02:41Can't you see me?
00:02:43Oh, I thought you can see me.
00:02:47Okay.
00:02:49It's done.
00:02:51Many people have already joined.
00:02:54So, let's start.
00:02:56I will give them a message on Facebook.
00:02:58Final match.
00:03:00You perform. What's happening?
00:03:02You perform. What's happening?
00:03:11Okay. I gave it.
00:03:13Let me see if I can see it on Facebook.
00:03:16Okay.
00:03:18Okay.
00:03:20Oh, I didn't say anything about Bangladesh.
00:03:23I have been watching you since the beginning.
00:03:26I had a strong belief that Bangladesh will lose today.
00:03:32It's not right to expect two big teams to lose.
00:03:37It's not right to expect that.
00:03:40It's never possible.
00:03:42I have been watching Bangladesh for 30 years.
00:03:45My parents have watched Bangladesh before me.
00:03:48I have never seen this happening.
00:03:52Okay.
00:03:54I was talking about the homework in the slide.
00:03:56I will give a record solve class on the homework in the slide.
00:04:00So that there will be no more inconvenience.
00:04:02Okay?
00:04:04Unbelievable.
00:04:06Okay. Let's start.
00:04:08What are we going to study today?
00:04:10Today, we will learn about the relationship between vectors.
00:04:15What is the relationship?
00:04:17What we have studied so far is how to connect two vectors.
00:04:24We have learned how to connect two vectors using the equation.
00:04:28Before that, we have learned how to divide vectors using geometric method.
00:04:34There were three-dimensional, multidimensional and ordinary vectors.
00:04:39After that, when we wanted to divide vectors horizontally and vertically,
00:04:45we have learned how to divide vectors horizontally and vertically using the equation.
00:04:50What is our task now?
00:04:52Now, we want to break the vector.
00:04:57We will break it and convert it into a few small vectors.
00:05:01If we connect these small vectors, we will get the original vector.
00:05:06First of all, I am saying this in Bengali. It may sound difficult.
00:05:10If I give an example, it will be very easy to understand what we want to do today.
00:05:15Can you see everything on the web app?
00:05:17Is everything okay?
00:05:20Is everything clear on the web app?
00:05:22Yes, everything is clear.
00:05:24So, if you have a problem with the web app, then come to Facebook.
00:05:27Okay? Don't worry.
00:05:28You are so old.
00:05:30Now, don't worry.
00:05:32Come to the place where you can see well.
00:05:34If you had a problem with the web app, it would be a problem for everyone.
00:05:37Do you understand?
00:05:38We will take a problem-solving class.
00:05:42Don't worry.
00:05:43But before that, I will give a homework-solving class.
00:05:47After that, you will get the CQM-CQ class after the end of the chapter.
00:05:50Okay?
00:05:51Because CQM-CQ is very rare.
00:05:54The concepts of the entire chapter are combined and then a CQ question is asked.
00:05:59If you do it in the middle, it will not be fun.
00:06:01The entire chapter will end first.
00:06:02After that, we will solve the CQM-CQ related questions.
00:06:05Okay?
00:06:06Okay.
00:06:07Come on.
00:06:08Let's start.
00:06:09Everyone, start.
00:06:10So, think about it.
00:06:11What do we understand by the definition of a vector?
00:06:15Before that, I will make it clear.
00:06:18I will make it clear.
00:06:20What have we seen so far?
00:06:22We have seen that we have two vectors.
00:06:25There are two vectors like this.
00:06:27We have learned to derive the magnitude of these two vectors.
00:06:30We have learned to derive the magnitude of these two vectors.
00:06:33This is the magnitude of our vector.
00:06:35What was this?
00:06:36This was the magnitude of our two vectors.
00:06:39This was the magnitude of the vector from here to here.
00:06:43Now, what we will do is,
00:06:47How did we get this one vector?
00:06:53We got it after combining two vectors.
00:06:56We got it after combining two vectors.
00:06:59Now, our target is,
00:07:02Which vectors can we get to make this vector?
00:07:08Which vectors can we get to make this vector?
00:07:11I am coming to this.
00:07:12Before that,
00:07:13I will give you a simple example in Bengali.
00:07:16I wanted to give this.
00:07:17Think about it.
00:07:18If I tell you,
00:07:19If I combine 5 and 8,
00:07:22What will be the result?
00:07:24The result will be 1.
00:07:25That is 13.
00:07:26I am just giving you an example.
00:07:28It has nothing to do with vectors.
00:07:31I am just giving you an example.
00:07:33If we combine 5 and 8,
00:07:35We will get the same result.
00:07:37That is 13.
00:07:38If we combine two vectors,
00:07:41What will we get?
00:07:42We will get 11.
00:07:44If we combine two vectors,
00:07:46We will always get one vector.
00:07:48But, if I tell you,
00:07:51The number 13,
00:07:53If we combine two vectors,
00:07:57How can you get the result?
00:07:59You can say,
00:08:0113 is 1 plus 12.
00:08:03You can say,
00:08:0513 is 2 plus 10.
00:08:07You can say,
00:08:0813 is 2 plus 11.
00:08:09You can say,
00:08:1113 is 3 plus 10.
00:08:12You can say,
00:08:1413 is 5 plus 8.
00:08:15Like this,
00:08:16Can you get the result of 13 in infinite ways?
00:08:20See,
00:08:21If we combine all the vectors,
00:08:22We will get 13.
00:08:24When you divide 13,
00:08:26Can you divide it in one way?
00:08:281 plus 12.
00:08:29Can you get the result of 13 in one way?
00:08:31Or,
00:08:32Can you get the result of 13 in infinite ways?
00:08:34Can you get the result of 13 in infinite ways?
00:08:36I am just writing the integer value here.
00:08:40If you write 1.5 plus 11.5,
00:08:45You will get 13.
00:08:47That means,
00:08:48I can get the result of 13 in infinite ways.
00:08:52Right?
00:08:53We can get the result of 13 in infinite ways.
00:08:57Okay.
00:08:58If it is like this,
00:08:59Suppose,
00:09:00I have written the result of 13 in the form of a combination of 2 numbers.
00:09:03If I want,
00:09:05I will write the result of 13 in the form of a combination of 3 numbers.
00:09:09Can I do that?
00:09:10If I say,
00:09:111 plus 2 plus 10.
00:09:14This will also be the result of 13.
00:09:16There is only one way.
00:09:18See,
00:09:19If I say,
00:09:202 plus 3 plus 8.
00:09:22This will also be the result of 13.
00:09:24Can I get the result of 13 in the form of a combination of 3 numbers?
00:09:27If I want,
00:09:28I can get the result of 13 in the form of a combination of 4 or 5 numbers.
00:09:321, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12 and 13.
00:09:40See,
00:09:41I can get the result of 13 in the form of a combination of 5 numbers.
00:09:453, 4, 7, 5, 12 and 13.
00:09:48It means,
00:09:49I can get the result of 13 in the form of a combination of 2 numbers.
00:09:54This is not the case.
00:09:56Never.
00:09:57I can get the result of 13 in the form of a combination of 2 numbers.
00:10:01Or,
00:10:02I can get the result of 13 in the form of a combination of 3 numbers.
00:10:06Or,
00:10:07I can get the result of 13 in the form of a combination of 4, 5 or 6 numbers.
00:10:13So,
00:10:14The same thing is true for vectors.
00:10:17If two vectors are joined together,
00:10:21can we get an infinite number of vectors?
00:10:23Or, will there be only one vector?
00:10:25There will be only one vector.
00:10:26If you join two vectors like this,
00:10:29you will get only one vector.
00:10:32Similarly,
00:10:33if you join two numbers,
00:10:35there will be only one result.
00:10:39But,
00:10:40if you want to divide a number into two,
00:10:44then you can do it in an infinite number of ways.
00:10:47So,
00:10:48what I want to say is,
00:10:51suppose,
00:10:52if I want to join this vector here,
00:10:57this negative vector,
00:11:00can this vector be shown only by joining these two vectors?
00:11:06No.
00:11:07I can get this negative vector in an infinite number of ways.
00:11:11Let's see how it can be done.
00:11:13If I want,
00:11:14suppose,
00:11:15if I join two vectors like this and this,
00:11:20I can get this negative vector.
00:11:23Or,
00:11:24if I call this as the original vector,
00:11:26then,
00:11:27if I join two vectors like this,
00:11:30then I can get this negative vector.
00:11:33What does it mean?
00:11:34Suppose,
00:11:35a person goes this way,
00:11:37then he goes this way.
00:11:39What is his length?
00:11:40Length is a vector.
00:11:41What is its magnitude?
00:11:42Its magnitude is from here to here.
00:11:44So,
00:11:45then,
00:11:46we can,
00:11:47see,
00:11:48can we divide it only in this way?
00:11:50If I think,
00:11:51that I will show this vector like this,
00:11:54I will show it in the form of two vectors like this,
00:11:57then is it not possible to show it in the form of two vectors like this?
00:12:00Or,
00:12:01if I want,
00:12:02that I will show it in the form of this vector and this vector,
00:12:06in the form of two vectors like this,
00:12:08then it is possible.
00:12:09If I want,
00:12:10that I will show it in the form of this vector and this vector,
00:12:16then will I not get this negative vector?
00:12:19Tell me,
00:12:20does everyone understand so far?
00:12:22Tell me.
00:12:24Does everyone understand so far?
00:12:26Clear.
00:12:27Good.
00:12:28Okay,
00:12:29everyone understands.
00:12:30It means,
00:12:31if two vectors ask you to join or divide,
00:12:35the result will be the same.
00:12:37But,
00:12:38if you are asked to divide one vector and make several vectors,
00:12:43then you can make the original vector in an impossible way.
00:12:48So,
00:12:49I hope this message is clear to everyone.
00:12:51Now,
00:12:52we are talking about that,
00:12:53that you have shown it in the form of two vectors.
00:12:57Okay,
00:12:58if I want to show this vector in the form of three vectors,
00:13:02will I not be able to do it?
00:13:04I will definitely be able to show it in the form of three vectors.
00:13:07For example,
00:13:08I have a vector like this,
00:13:09I have a vector like this,
00:13:11and I have a vector like this.
00:13:13Think about it,
00:13:14the intersection of these three vectors,
00:13:16the intersection of these three vectors is this white,
00:13:19sorry,
00:13:20this yellow.
00:13:21Because,
00:13:22one person went from this side to this side first,
00:13:23then some distance went to this side,
00:13:24then some distance went to this side.
00:13:25Think about it,
00:13:26from the beginning to the end,
00:13:27it is determined by this yellow vector.
00:13:30Then,
00:13:31if I want,
00:13:32that no,
00:13:33I will show this vector in three other ways,
00:13:36then see,
00:13:37like this also,
00:13:38I can get this yellow vector in the form of three vectors.
00:13:41Then,
00:13:42I hope you get it.
00:13:43Then,
00:13:44if you think,
00:13:45that no,
00:13:46I don't like this,
00:13:47then show it in the form of six vectors.
00:13:48Then,
00:13:49let's see,
00:13:50this one vector,
00:13:51this one vector,
00:13:52this one,
00:13:53three,
00:13:54this four,
00:13:55this five,
00:13:56this six.
00:13:57Think about it,
00:13:58to get this yellow vector,
00:13:59I have shown it with the help of six vectors.
00:14:02If you joke about six vectors,
00:14:04then you will get this yellow vector.
00:14:07Then,
00:14:08think about it,
00:14:09the example I gave for this,
00:14:11exactly,
00:14:12for the vector,
00:14:13but for a similar example,
00:14:15just like this,
00:14:16I can divide a vector like this,
00:14:18in infinite ways,
00:14:20it is not the same,
00:14:21it can be divided and shown,
00:14:22it is not the same,
00:14:23only two vectors have to be shown,
00:14:25the matter is not like this.
00:14:27If I want,
00:14:28I can divide this vector in three ways,
00:14:30or three vectors,
00:14:31or three vectors can be divided and shown,
00:14:33or three vectors can be divided and shown.
00:14:35Okay?
00:14:36Okay.
00:14:37The logic will remain the same,
00:14:39mainly.
00:14:40Right.
00:14:41You see,
00:14:42because from the beginning to the end,
00:14:43this one person,
00:14:44started running from here,
00:14:45started running from here,
00:14:46went this way,
00:14:47went this way,
00:14:48came back,
00:14:49came here,
00:14:50when he reached here,
00:14:51your logic,
00:14:52from the beginning to the end,
00:14:53this is what will happen.
00:14:54One person,
00:14:55went this way,
00:14:56then this way,
00:14:57then this way,
00:14:58your logic will be,
00:14:59from the beginning to the end,
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00:18:49your logic will be,
00:18:50from the beginning to the end,
00:18:51your logic will be,
00:18:52from the beginning to the end,
00:18:53your logic will be,
00:18:54from the beginning to the end,
00:18:55your logic will be,
00:18:56from the beginning to the end,
00:18:57your logic will be,
00:18:58from the beginning to the end,
00:18:59your logic will be,
00:19:00from the beginning to the end,
00:19:01your logic will be,
00:19:02from the beginning to the end,
00:19:03your logic will be,
00:19:04from the beginning to the end,
00:19:05your logic will be,
00:19:06from the beginning to the end,
00:19:07your logic will be,
00:19:08from the beginning to the end,
00:19:09your logic will be,
00:19:10from the beginning to the end,
00:19:11your logic will be,
00:19:12from the beginning to the end,
00:19:13your logic will be,
00:19:14from the beginning to the end,
00:19:15your logic will be,
00:19:16from the beginning to the end,
00:19:17your logic will be,
00:19:18from the beginning to the end,
00:19:19your logic will be,
00:19:20from the beginning to the end,
00:19:21your logic will be,
00:19:22from the beginning to the end,
00:19:23your logic will be,
00:19:24from the beginning to the end,
00:19:25your logic will be,
00:19:26from the beginning to the end,
00:19:27your logic will be,
00:19:28from the beginning to the end,
00:19:29your logic will be,
00:19:30from the beginning to the end,
00:19:31your logic will be,
00:19:32from the beginning to the end,
00:19:33your logic will be,
00:19:34from the beginning to the end,
00:19:35your logic will be,
00:19:36from the beginning to the end,
00:19:37your logic will be,
00:19:38from the beginning to the end,
00:19:39your logic will be,
00:19:40from the beginning to the end,
00:19:41your logic will be,
00:19:42from the beginning to the end,
00:19:43your logic will be,
00:19:44from the beginning to the end,
00:19:45your logic will be,
00:19:46from the beginning to the end,
00:19:47your logic will be,
00:19:48from the beginning to the end,
00:19:49your logic will be,
00:19:50from the beginning to the end,
00:19:51your logic will be,
00:19:52from the beginning to the end,
00:19:53your logic will be,
00:19:54from the beginning to the end,
00:19:55your logic will be,
00:19:56from the beginning to the end,
00:19:57your logic will be,
00:19:58from the beginning to the end,
00:19:59your logic will be,
00:20:00from the beginning to the end,
00:20:01your logic will be,
00:20:02from the beginning to the end,
00:20:03your logic will be,
00:20:04from the beginning to the end,
00:20:05your logic will be,
00:20:06from the beginning to the end,
00:20:07your logic will be,
00:20:08from the beginning to the end,
00:20:09your logic will be,
00:20:10from the beginning to the end,
00:20:11your logic will be,
00:20:12from the beginning to the end,
00:20:13your logic will be,
00:20:14from the beginning to the end,
00:20:15your logic will be,
00:20:16from the beginning to the end,
00:20:17your logic will be,
00:20:18from the beginning to the end,
00:20:19your logic will be,
00:20:20from the beginning to the end,
00:20:21your logic will be,
00:20:22from the beginning to the end,
00:20:23your logic will be,
00:20:24from the beginning to the end,
00:20:25your logic will be,
00:20:26from the beginning to the end,
00:20:27your logic will be,
00:20:28from the beginning to the end,
00:20:29your logic will be,
00:20:30from the beginning to the end,
00:20:31your logic will be,
00:20:32from the beginning to the end,
00:20:33your logic will be,
00:20:34from the beginning to the end,
00:20:35your logic will be,
00:20:36from the beginning to the end,
00:20:37your logic will be,
00:20:38from the beginning to the end,
00:20:39your logic will be,
00:20:40from the beginning to the end,
00:20:41your logic will be,
00:20:42from the beginning to the end,
00:20:43your logic will be,
00:20:44from the beginning to the end,
00:20:45your logic will be,
00:20:46from the beginning to the end,
00:20:47your logic will be,
00:20:48from the beginning to the end,
00:20:49your logic will be,
00:20:50from the beginning to the end,
00:20:51your logic will be,
00:20:52from the beginning to the end,
00:20:53your logic will be,
00:20:54from the beginning to the end,
00:20:55your logic will be,
00:20:56from the beginning to the end,
00:20:57your logic will be,
00:20:58from the beginning to the end,
00:20:59your logic will be,
00:21:00from the beginning to the end,
00:21:01your logic will be,
00:21:02from the beginning to the end,
00:21:03your logic will be,
00:21:04from the beginning to the end,
00:21:05your logic will be,
00:21:06from the beginning to the end,
00:21:07your logic will be,
00:21:08from the beginning to the end,
00:21:09your logic will be,
00:21:10from the beginning to the end,
00:21:11your logic will be,
00:21:12from the beginning to the end,
00:21:13your logic will be,
00:21:14from the beginning to the end,
00:21:15your logic will be,
00:21:16from the beginning to the end,
00:21:17your logic will be,
00:21:18from the beginning to the end,
00:21:19your logic will be,
00:21:20from the beginning to the end,
00:21:21your logic will be,
00:21:22from the beginning to the end,
00:21:23your logic will be,
00:21:24from the beginning to the end,
00:21:25your logic will be,
00:21:26from the beginning to the end,
00:21:27your logic will be,
00:21:28from the beginning to the end,
00:21:29your logic will be,
00:21:30from the beginning to the end,
00:21:31your logic will be,
00:21:32from the beginning to the end,
00:21:33your logic will be,
00:21:34from the beginning to the end,
00:21:35your logic will be,
00:21:36from the beginning to the end,
00:21:37your logic will be,
00:21:38from the beginning to the end,
00:21:39your logic will be,
00:21:40from the beginning to the end,
00:21:41your logic will be,
00:21:42from the beginning to the end,
00:21:43your logic will be,
00:21:44from the beginning to the end,
00:21:45your logic will be,
00:21:46from the beginning to the end,
00:21:47your logic will be,
00:21:48from the beginning to the end,
00:21:49your logic will be,
00:21:50from the beginning to the end,
00:21:51your logic will be,
00:21:52from the beginning to the end,
00:21:53your logic will be,
00:21:54from the beginning to the end,
00:21:55your logic will be,
00:21:56from the beginning to the end,
00:21:57your logic will be,
00:21:58from the beginning to the end,
00:21:59your logic will be,
00:22:00from the beginning to the end,
00:22:01your logic will be,
00:22:02from the beginning to the end,
00:22:03your logic will be,
00:22:04from the beginning to the end,
00:22:05your logic will be,
00:22:06from the beginning to the end,
00:22:07your logic will be,
00:22:08from the beginning to the end,
00:22:09your logic will be,
00:22:10from the beginning to the end,
00:22:11your logic will be,
00:22:12from the beginning to the end,
00:22:13your logic will be,
00:22:14from the beginning to the end,
00:22:15your logic will be,
00:22:16from the beginning to the end,
00:22:17your logic will be,
00:22:18from the beginning to the end,
00:22:19your logic will be,
00:22:20from the beginning to the end,
00:22:21your logic will be,
00:22:22from the beginning to the end,
00:22:23your logic will be,
00:22:24from the beginning to the end,
00:22:25your logic will be,
00:22:26from the beginning to the end,
00:22:27your logic will be,
00:22:28from the beginning to the end,
00:22:29your logic will be,
00:22:30from the beginning to the end,
00:22:31your logic will be,
00:22:32from the beginning to the end,
00:22:33your logic will be,
00:22:34from the beginning to the end,
00:22:35your logic will be,
00:22:36from the beginning to the end,
00:22:37your logic will be,
00:22:38from the beginning to the end,
00:22:39your logic will be,
00:22:40from the beginning to the end,
00:22:41your logic will be,
00:22:42from the beginning to the end,
00:22:43your logic will be,
00:22:44from the beginning to the end,
00:22:45your logic will be,
00:22:46from the beginning to the end,
00:22:47your logic will be,
00:22:48from the beginning to the end,
00:22:49your logic will be,
00:22:50from the beginning to the end,
00:22:51your logic will be,
00:22:52from the beginning to the end,
00:22:53your logic will be,
00:22:54from the beginning to the end,
00:22:55your logic will be,
00:22:56from the beginning to the end,
00:22:57your logic will be,
00:22:58from the beginning to the end,
00:22:59your logic will be,
00:23:00from the beginning to the end,
00:23:01your logic will be,
00:23:02from the beginning to the end,
00:23:03your logic will be,
00:23:04from the beginning to the end,
00:23:05your logic will be,
00:23:06from the beginning to the end,
00:23:08your logic will be,
00:23:09from the beginning to the end,
00:23:10your logic will be,
00:23:11from the beginning to the end,
00:23:12your logic will be,
00:23:13from the beginning to the end,
00:23:14your logic will be,
00:23:15from the beginning to the end,
00:23:16your logic will be,
00:23:17from the beginning to the end,
00:23:18your logic will be,
00:23:19from the beginning to the end,
00:23:20your logic will be,
00:23:21from the beginning to the end,
00:23:22your logic will be,
00:23:23from the beginning to the end,
00:23:24your logic will be,
00:23:25from the beginning to the end,
00:23:26your logic will be,
00:23:27from the beginning to the end,
00:23:28your logic will be,
00:23:29from the beginning to the end,
00:23:30your logic will be,
00:23:31from the beginning to the end,
00:23:32your logic will be,
00:23:33from the beginning to the end,
00:23:34your logic will be,
00:23:35from the beginning to the end,
00:23:36your logic will be,
00:23:37from the beginning to the end,
00:23:38your logic will be,
00:23:39from the beginning to the end,
00:23:40your logic will be,
00:23:41from the beginning to the end,
00:23:42your logic will be,
00:23:43from the beginning to the end,
00:23:44your logic will be,
00:23:45from the beginning to the end,
00:23:46your logic will be,
00:23:47from the beginning to the end,
00:23:48your logic will be,
00:23:49from the beginning to the end,
00:23:50your logic will be,
00:23:51from the beginning to the end,
00:23:52your logic will be,
00:23:53from the beginning to the end,
00:23:54your logic will be,
00:23:55from the beginning to the end,
00:23:56your logic will be,
00:23:57from the beginning to the end,
00:23:58your logic will be,
00:23:59from the beginning to the end,
00:24:00your logic will be,
00:24:01from the beginning to the end,
00:24:02your logic will be,
00:24:03from the beginning to the end,
00:24:04your logic will be,
00:24:05from the beginning to the end,
00:24:06your logic will be,
00:24:07from the beginning to the end,
00:24:08your logic will be,
00:24:09from the beginning to the end,
00:24:10your logic will be,
00:24:11from the beginning to the end,
00:24:12your logic will be,
00:24:13from the beginning to the end,
00:24:14your logic will be,
00:24:15from the beginning to the end,
00:24:16your logic will be,
00:24:17from the beginning to the end,
00:24:18your logic will be,
00:24:19from the beginning to the end,
00:24:20your logic will be,
00:24:21from the beginning to the end,
00:24:22your logic will be,
00:24:23from the beginning to the end,
00:24:24your logic will be,
00:24:25from the beginning to the end,
00:24:26your logic will be,
00:24:27from the beginning to the end,
00:24:28your logic will be,
00:24:30divided by sine gamma,
00:24:32divided by sine gamma,
00:24:59divided by sine gamma,
00:25:00divided by sine gamma,
00:25:01divided by sine gamma,
00:25:02divided by sine gamma,
00:25:03divided by sine gamma,
00:25:04divided by sine gamma,
00:25:05divided by sine gamma,
00:25:06divided by sine gamma,
00:25:07divided by sine gamma,
00:25:08divided by sine gamma,
00:25:09divided by sine gamma,
00:25:10divided by sine gamma,
00:25:11divided by sine gamma,
00:25:12divided by sine gamma,
00:25:13divided by sine gamma,
00:25:14divided by sine gamma,
00:25:15divided by sine gamma,
00:25:16divided by sine gamma,
00:25:17divided by sine gamma,
00:25:18divided by sine gamma,
00:25:19divided by sine gamma,
00:25:20divided by sine gamma,
00:25:21divided by sine gamma,
00:25:22divided by sine gamma,
00:25:23divided by sine gamma,
00:25:24divided by sine gamma,
00:25:25divided by sine gamma,
00:25:26divided by sine gamma,
00:25:27divided by sine gamma,
00:25:28divided by sine gamma,
00:25:29divided by sine gamma,
00:25:30divided by sine gamma,
00:25:31divided by sine gamma,
00:25:32divided by sine gamma,
00:25:33divided by sine gamma,
00:25:34divided by sine gamma,
00:25:35divided by sine gamma,
00:25:36divided by sine gamma,
00:25:37divided by sine gamma,
00:25:38divided by sine gamma,
00:25:39divided by sine gamma,
00:25:40divided by sine gamma,
00:25:41divided by sine gamma,
00:25:42divided by sine gamma,
00:25:43divided by sine gamma,
00:25:44divided by sine gamma,
00:25:45divided by sine gamma,
00:25:46divided by sine gamma,
00:25:47divided by sine gamma,
00:25:48divided by sine gamma,
00:25:49divided by sine gamma,
00:25:50divided by sine gamma,
00:25:51divided by sine gamma,
00:25:52divided by sine gamma,
00:25:53divided by sine gamma,
00:25:54divided by sine gamma,
00:25:55divided by sine gamma,
00:25:56divided by sine gamma,
00:25:57divided by sine gamma,
00:25:58divided by sine gamma,
00:25:59divided by sine gamma,
00:26:00divided by sine gamma,
00:26:01divided by sine gamma,
00:26:02divided by sine gamma,
00:26:03divided by sine gamma,
00:26:04divided by sine gamma,
00:26:05divided by sine gamma,
00:26:06divided by sine gamma,
00:26:07divided by sine gamma,
00:26:08divided by sine gamma,
00:26:09divided by sine gamma,
00:26:10divided by sine gamma,
00:26:11divided by sine gamma,
00:26:12divided by sine gamma,
00:26:13divided by sine gamma,
00:26:14divided by sine gamma,
00:26:15divided by sine gamma,
00:26:16divided by sine gamma,
00:26:17divided by sine gamma,
00:26:18divided by sine gamma,
00:26:19divided by sine gamma,
00:26:20divided by sine gamma,
00:26:21divided by sine gamma,
00:26:22divided by sine gamma,
00:26:23divided by sine gamma,
00:26:24divided by sine gamma,
00:26:25divided by sine gamma,
00:26:26divided by sine gamma,
00:26:27divided by sine gamma,
00:26:28divided by sine gamma,
00:26:29divided by sine gamma,
00:26:30divided by sine gamma,
00:26:31divided by sine gamma,
00:26:32divided by sine gamma,
00:26:33divided by sine gamma,
00:26:34divided by sine gamma,
00:26:35divided by sine gamma,
00:26:36divided by sine gamma,
00:26:37divided by sine gamma,
00:26:38divided by sine gamma,
00:26:39divided by sine gamma,
00:26:40divided by sine gamma,
00:26:41divided by sine gamma,
00:26:42divided by sine gamma,
00:26:43divided by sine gamma,
00:26:44divided by sine gamma,
00:26:45divided by sine gamma,
00:26:46divided by sine gamma,
00:26:47divided by sine gamma,
00:26:48divided by sine gamma,
00:26:49divided by sine gamma,
00:26:50divided by sine gamma,
00:26:51divided by sine gamma,
00:26:52divided by sine gamma,
00:26:53divided by sine gamma,
00:26:54divided by sine gamma,
00:26:55divided by sine gamma,
00:26:56divided by sine gamma,
00:26:57divided by sine gamma,
00:26:58divided by sine gamma,
00:26:59divided by sine gamma,
00:27:00divided by sine gamma,
00:27:01divided by sine gamma,
00:27:02divided by sine gamma,
00:27:03divided by sine gamma,
00:27:04divided by sine gamma,
00:27:05divided by sine gamma,
00:27:06divided by sine gamma,
00:27:07divided by sine gamma,
00:27:08divided by sine gamma,
00:27:09divided by sine gamma,
00:27:10divided by sine gamma,
00:27:11divided by sine gamma,
00:27:12divided by sine gamma,
00:27:13divided by sine gamma,
00:27:14divided by sine gamma,
00:27:15divided by sine gamma,
00:27:16divided by sine gamma,
00:27:17divided by sine gamma,
00:27:18divided by sine gamma,
00:27:19divided by sine gamma,
00:27:20divided by sine gamma,
00:27:21divided by sine gamma,
00:27:22divided by sine gamma,
00:27:23divided by sine gamma,
00:27:24divided by sine gamma,
00:27:25divided by sine gamma,
00:27:26divided by sine gamma,
00:27:27divided by sine gamma,
00:27:28divided by sine gamma,
00:27:29divided by sine gamma,
00:27:30divided by sine gamma,
00:27:31divided by sine gamma,
00:27:32divided by sine gamma,
00:27:33divided by sine gamma,
00:27:34divided by sine gamma,
00:27:35divided by sine gamma,
00:27:36divided by sine gamma,
00:27:37divided by sine gamma,
00:27:38divided by sine gamma,
00:27:39divided by sine gamma,
00:27:40divided by sine gamma,
00:27:41divided by sine gamma,
00:27:42divided by sine gamma,
00:27:43divided by sine gamma,
00:27:44divided by sine gamma,
00:27:45divided by sine gamma,
00:27:46divided by sine gamma,
00:27:47divided by sine gamma,
00:27:48divided by sine gamma,
00:27:49divided by sine gamma,
00:27:50divided by sine gamma,
00:27:51divided by sine gamma,
00:27:52divided by sine gamma,
00:27:53divided by sine gamma,
00:27:54divided by sine gamma,
00:27:55divided by sine gamma,
00:27:56divided by sine gamma,
00:27:57divided by sine gamma,
00:27:58divided by sine gamma,
00:27:59divided by sine gamma,
00:28:00divided by sine gamma,
00:28:01divided by sine gamma,
00:28:02divided by sine gamma,
00:28:03divided by sine gamma,
00:28:04divided by sine gamma,
00:28:05divided by sine gamma,
00:28:06divided by sine gamma,
00:28:07divided by sine gamma,
00:28:08divided by sine gamma,
00:28:09divided by sine gamma,
00:28:10divided by sine gamma,
00:28:11divided by sine gamma,
00:28:12divided by sine gamma,
00:28:13divided by sine gamma,
00:28:14divided by sine gamma,
00:28:15divided by sine gamma,
00:28:16divided by sine gamma,
00:28:17divided by sine gamma,
00:28:18divided by sine gamma,
00:28:19divided by sine gamma,
00:28:20divided by sine gamma,
00:28:21divided by sine gamma,
00:28:22divided by sine gamma,
00:28:23divided by sine gamma,
00:28:24divided by sine gamma,
00:28:25divided by sine gamma,
00:28:26divided by sine gamma,
00:28:27divided by sine gamma,
00:28:28divided by sine gamma,
00:28:29divided by sine gamma,
00:28:30divided by sine gamma,
00:28:31divided by sine gamma,
00:28:32divided by sine gamma,
00:28:33divided by sine gamma,
00:28:34divided by sine gamma,
00:28:35divided by sine gamma,
00:28:36divided by sine gamma,
00:28:37divided by sine gamma,
00:28:38divided by sine gamma,
00:28:39divided by sine gamma,
00:28:40divided by sine gamma,
00:28:41divided by sine gamma,
00:28:42divided by sine gamma,
00:28:43divided by sine gamma,
00:28:44divided by sine gamma,
00:28:45divided by sine gamma,
00:28:46divided by sine gamma,
00:28:47divided by sine gamma,
00:28:48divided by sine gamma,
00:28:49divided by sine gamma,
00:28:50divided by sine gamma,
00:28:51divided by sine gamma,
00:28:52divided by sine gamma,
00:28:53divided by sine gamma,
00:28:54divided by sine gamma,
00:28:55divided by sine gamma,
00:28:56divided by sine gamma,
00:28:57divided by sine gamma,
00:28:58divided by sine gamma,
00:28:59divided by sine gamma,
00:29:00divided by sine gamma,
00:29:01divided by sine gamma,
00:29:02divided by sine gamma,
00:29:03divided by sine gamma,
00:29:04divided by sine gamma,
00:29:05divided by sine gamma,
00:29:06divided by sine gamma,
00:29:07divided by sine gamma,
00:29:08divided by sine gamma,
00:29:09divided by sine gamma,
00:29:10divided by sine gamma,
00:29:11divided by sine gamma,
00:29:12divided by sine gamma,
00:29:13divided by sine gamma,
00:29:14divided by sine gamma,
00:29:15divided by sine gamma,
00:29:16divided by sine gamma,
00:29:17divided by sine gamma,
00:29:18divided by sine gamma,
00:29:19divided by sine gamma,
00:29:20divided by sine gamma,
00:29:21divided by sine gamma,
00:29:22divided by sine gamma,
00:29:23divided by sine gamma,
00:29:24divided by sine gamma,
00:29:25divided by sine gamma,
00:29:26divided by sine gamma,
00:29:27divided by sine gamma,
00:29:28divided by sine gamma,
00:29:29divided by sine gamma,
00:29:30divided by sine gamma,
00:29:31divided by sine gamma,
00:29:32divided by sine gamma,
00:29:33divided by sine gamma,
00:29:34divided by sine gamma,
00:29:35divided by sine gamma,
00:29:36divided by sine gamma,
00:29:37divided by sine gamma,
00:29:38divided by sine gamma,
00:29:39divided by sine gamma,
00:29:40divided by sine gamma,
00:29:41divided by sine gamma,
00:29:42divided by sine gamma,
00:29:43divided by sine gamma,
00:29:44divided by sine gamma,
00:29:45divided by sine gamma,
00:29:46divided by sine gamma,
00:29:47divided by sine gamma,
00:29:48divided by sine gamma,
00:29:49divided by sine gamma,
00:29:50divided by sine gamma,
00:29:51divided by sine gamma,
00:29:52divided by sine gamma,
00:29:53divided by sine gamma,
00:29:54divided by sine gamma,
00:29:55divided by sine gamma,
00:29:56divided by sine gamma,
00:29:57divided by sine gamma,
00:29:58divided by sine gamma,
00:29:59divided by sine gamma,
00:30:00divided by sine gamma,
00:30:01divided by sine gamma,
00:30:02divided by sine gamma,
00:30:03divided by sine gamma,
00:30:04divided by sine gamma,
00:30:05divided by sine gamma,
00:30:06divided by sine gamma,
00:30:07divided by sine gamma,
00:30:08divided by sine gamma,
00:30:09divided by sine gamma,
00:30:10divided by sine gamma,
00:30:11divided by sine gamma,
00:30:12divided by sine gamma,
00:30:13divided by sine gamma,
00:30:14divided by sine gamma,
00:30:15divided by sine gamma,
00:30:16divided by sine gamma,
00:30:17divided by sine gamma,
00:30:18divided by sine gamma,
00:30:19divided by sine gamma,
00:30:20divided by sine gamma,
00:30:21divided by sine gamma,
00:30:22divided by sine gamma,
00:30:23divided by sine gamma,
00:30:24divided by sine gamma,
00:30:25divided by sine gamma,
00:30:26divided by sine gamma,
00:30:27divided by sine gamma,
00:30:28divided by sine gamma,
00:30:29divided by sine gamma,
00:30:30divided by sine gamma,
00:30:31divided by sine gamma,
00:30:32divided by sine gamma,
00:30:33divided by sine gamma,
00:30:34divided by sine gamma,
00:30:35divided by sine gamma,
00:30:36divided by sine gamma,
00:30:37divided by sine gamma,
00:30:38divided by sine gamma,
00:30:39divided by sine gamma,
00:30:40divided by sine gamma,
00:30:41divided by sine gamma,
00:30:42divided by sine gamma,
00:30:43divided by sine gamma,
00:30:44divided by sine gamma,
00:30:45divided by sine gamma,
00:30:46divided by sine gamma,
00:30:47divided by sine gamma,
00:30:48divided by sine gamma,
00:30:49divided by sine gamma,
00:30:50divided by sine gamma,
00:30:51divided by sine gamma,
00:30:52divided by sine gamma,
00:30:53divided by sine gamma,
00:30:54divided by sine gamma,
00:30:55divided by sine gamma,
00:30:56divided by sine gamma,
00:30:57divided by sine gamma,
00:30:58divided by sine gamma,
00:30:59divided by sine gamma,
00:31:00divided by sine gamma,
00:31:01divided by sine gamma,
00:31:02divided by sine gamma,
00:31:03divided by sine gamma,
00:31:04divided by sine gamma,
00:31:05divided by sine gamma,
00:31:06divided by sine gamma,
00:31:07divided by sine gamma,
00:31:08divided by sine gamma,
00:31:09divided by sine gamma,
00:31:10divided by sine gamma,
00:31:11divided by sine gamma,
00:31:12divided by sine gamma,
00:31:13divided by sine gamma,
00:31:14divided by sine gamma,
00:31:15divided by sine gamma,
00:31:16divided by sine gamma,
00:31:17divided by sine gamma,
00:31:18divided by sine gamma,
00:31:19divided by sine gamma,
00:31:20divided by sine gamma,
00:31:21divided by sine gamma,
00:31:22divided by sine gamma,
00:31:23divided by sine gamma,
00:31:24divided by sine gamma,
00:31:25divided by sine gamma,
00:31:26divided by sine gamma,
00:31:27divided by sine gamma,
00:31:28divided by sine gamma,
00:31:29divided by sine gamma,
00:31:30divided by sine gamma,
00:31:31divided by sine gamma,
00:31:32divided by sine gamma,
00:31:33divided by sine gamma,
00:31:34divided by sine gamma,
00:31:35divided by sine gamma,
00:31:36divided by sine gamma,
00:31:37divided by sine gamma,
00:31:38divided by sine gamma,
00:31:39divided by sine gamma,
00:31:40divided by sine gamma,
00:31:41divided by sine gamma,
00:31:42divided by sine gamma,
00:31:43divided by sine gamma,
00:31:44divided by sine gamma,
00:31:45divided by sine gamma,
00:31:46divided by sine gamma,
00:31:47divided by sine gamma,
00:31:48divided by sine gamma,
00:31:49divided by sine gamma,
00:31:50divided by sine gamma,
00:31:51divided by sine gamma,
00:31:52divided by sine gamma,
00:31:53divided by sine gamma,
00:31:54divided by sine gamma,
00:31:55divided by sine gamma,
00:31:56divided by sine gamma,
00:31:57divided by sine gamma,
00:31:58divided by sine gamma,
00:31:59divided by sine gamma,
00:32:00divided by sine gamma,
00:32:01divided by sine gamma,
00:32:02divided by sine gamma,
00:32:03divided by sine gamma,
00:32:04divided by sine gamma,
00:32:05divided by sine gamma,
00:32:06divided by sine gamma,
00:32:07divided by sine gamma,
00:32:08divided by sine gamma,
00:32:09divided by sine gamma,
00:32:10divided by sine gamma,
00:32:11divided by sine gamma,
00:32:12divided by sine gamma,
00:32:13divided by sine gamma,
00:32:14divided by sine gamma,
00:32:15divided by sine gamma,
00:32:16divided by sine gamma,
00:32:17divided by sine gamma,
00:32:18divided by sine gamma,
00:32:19divided by sine gamma,
00:32:20divided by sine gamma,
00:32:21divided by sine gamma,
00:32:22divided by sine gamma,
00:32:23divided by sine gamma,
00:32:24divided by sine gamma,
00:32:25divided by sine gamma,
00:32:26divided by sine gamma,
00:32:27divided by sine gamma,
00:32:28divided by sine gamma,
00:32:29divided by sine gamma,
00:32:30divided by sine gamma,
00:32:31divided by sine gamma,
00:32:32divided by sine gamma,
00:32:33divided by sine gamma,
00:32:34divided by sine gamma,
00:32:35divided by sine gamma,
00:32:36divided by sine gamma,
00:32:37divided by sine gamma,
00:32:38divided by sine gamma,
00:32:39divided by sine gamma,
00:32:40divided by sine gamma,
00:32:41divided by sine gamma,
00:32:42divided by sine gamma,
00:32:43divided by sine gamma,
00:32:44divided by sine gamma,
00:32:45divided by sine gamma,
00:32:46divided by sine gamma,
00:32:47divided by sine gamma,
00:32:48divided by sine gamma,
00:32:49divided by sine gamma,
00:32:50divided by sine gamma,
00:32:51divided by sine gamma,
00:32:52divided by sine gamma,
00:32:53divided by sine gamma,
00:32:54divided by sine gamma,
00:32:55divided by sine gamma,
00:32:56divided by sine gamma,
00:32:57divided by sine gamma,
00:32:58divided by sine gamma,
00:32:59divided by sine gamma,
00:33:00divided by sine gamma,
00:33:01divided by sine gamma,
00:33:02divided by sine gamma,
00:33:03divided by sine gamma,
00:33:04divided by sine gamma,
00:33:05divided by sine gamma,
00:33:06divided by sine gamma,
00:33:07divided by sine gamma,
00:33:08divided by sine gamma,
00:33:09divided by sine gamma,
00:33:10divided by sine gamma,
00:33:11divided by sine gamma,
00:33:12divided by sine gamma,
00:33:13divided by sine gamma,
00:33:14divided by sine gamma,
00:33:15divided by sine gamma,
00:33:16divided by sine gamma,
00:33:17divided by sine gamma,
00:33:18divided by sine gamma,
00:33:19divided by sine gamma,
00:33:20divided by sine gamma,
00:33:21divided by sine gamma,
00:33:22divided by sine gamma,
00:33:23divided by sine gamma,
00:33:24divided by sine gamma,
00:33:25divided by sine gamma,
00:33:26divided by sine gamma,
00:33:27divided by sine gamma,
00:33:28divided by sine gamma,
00:33:29divided by sine gamma,
00:33:30divided by sine gamma,
00:33:31divided by sine gamma,
00:33:32divided by sine gamma,
00:33:33divided by sine gamma,
00:33:34divided by sine gamma,
00:33:35divided by sine gamma,
00:33:36divided by sine gamma,
00:33:37divided by sine gamma,
00:33:38divided by sine gamma,
00:33:39divided by sine gamma,
00:33:40divided by sine gamma,
00:33:41divided by sine gamma,
00:33:42divided by sine gamma,
00:33:43divided by sine gamma,
00:33:44divided by sine gamma,
00:33:45divided by sine gamma,
00:33:46divided by sine gamma,
00:33:47divided by sine gamma,
00:33:48divided by sine gamma,
00:33:49divided by sine gamma,
00:33:50divided by sine gamma,
00:33:51divided by sine gamma,
00:33:52divided by sine gamma,
00:33:53divided by sine gamma,
00:33:54divided by sine gamma,
00:33:55divided by sine gamma,
00:33:56divided by sine gamma,
00:33:57divided by sine gamma,
00:33:58divided by sine gamma,
00:33:59divided by sine gamma,
00:34:00divided by sine gamma,
00:34:01divided by sine gamma,
00:34:02divided by sine gamma,
00:34:03divided by sine gamma,
00:34:04divided by sine gamma,
00:34:05divided by sine gamma,
00:34:06divided by sine gamma,
00:34:07divided by sine gamma,
00:34:08divided by sine gamma,
00:34:09divided by sine gamma,
00:34:10divided by sine gamma,
00:34:11divided by sine gamma,
00:34:12divided by sine gamma,
00:34:13divided by sine gamma,
00:34:14divided by sine gamma,
00:34:15divided by sine gamma,
00:34:16divided by sine gamma,
00:34:17divided by sine gamma,
00:34:18divided by sine gamma,
00:34:19divided by sine gamma,
00:34:20divided by sine gamma,
00:34:21divided by sine gamma,
00:34:22divided by sine gamma,
00:34:23divided by sine gamma,
00:34:24divided by sine gamma,
00:34:25divided by sine gamma,
00:34:26divided by sine gamma,
00:34:27divided by sine gamma,
00:34:28divided by sine gamma,
00:34:29divided by sine gamma,
00:34:30divided by sine gamma,
00:34:31divided by sine gamma,
00:34:32divided by sine gamma,
00:34:33divided by sine gamma,
00:34:34divided by sine gamma,
00:34:35divided by sine gamma,
00:34:36divided by sine gamma,
00:34:37divided by sine gamma,
00:34:38divided by sine gamma,
00:34:39divided by sine gamma,
00:34:40divided by sine gamma,
00:34:41divided by sine gamma,
00:34:42divided by sine gamma,
00:34:43divided by sine gamma,
00:34:44divided by sine gamma,
00:34:45divided by sine gamma,
00:34:46divided by sine gamma,
00:34:47divided by sine gamma,
00:34:48divided by sine gamma,
00:34:49divided by sine gamma,
00:34:50divided by sine gamma,
00:34:51divided by sine gamma,
00:34:52divided by sine gamma,
00:34:53divided by sine gamma,
00:34:54divided by sine gamma,
00:34:55divided by sine gamma,
00:34:56divided by sine gamma,
00:34:57divided by sine gamma,
00:34:58divided by sine gamma,
00:34:59divided by sine gamma,
00:35:00divided by sine gamma,
00:35:01divided by sine gamma,
00:35:02divided by sine gamma,
00:35:03divided by sine gamma,
00:35:04divided by sine gamma,
00:35:05divided by sine gamma,
00:35:06divided by sine gamma,
00:35:07divided by sine gamma,
00:35:08divided by sine gamma,
00:35:09divided by sine gamma,
00:35:10divided by sine gamma,
00:35:11divided by sine gamma,
00:35:12divided by sine gamma,
00:35:13divided by sine gamma,
00:35:14divided by sine gamma,
00:35:15divided by sine gamma,
00:35:16divided by sine gamma,
00:35:17divided by sine gamma,
00:35:18divided by sine gamma,
00:35:19divided by sine gamma,
00:35:20divided by sine gamma,
00:35:21divided by sine gamma,
00:35:22divided by sine gamma,
00:35:23divided by sine gamma,
00:35:24divided by sine gamma,
00:35:25divided by sine gamma,
00:35:26divided by sine gamma,
00:35:27divided by sine gamma,
00:35:28divided by sine gamma,
00:35:29divided by sine gamma,
00:35:30divided by sine gamma,
00:35:31divided by sine gamma,
00:35:32divided by sine gamma,
00:35:33divided by sine gamma,
00:35:34divided by sine gamma,
00:35:35divided by sine gamma,
00:35:36divided by sine gamma,
00:35:37divided by sine gamma,
00:35:38divided by sine gamma,
00:35:39divided by sine gamma,
00:35:40divided by sine gamma,
00:35:41divided by sine gamma,
00:35:42divided by sine gamma,
00:35:43divided by sine gamma,
00:35:44divided by sine gamma,
00:35:45divided by sine gamma,
00:35:46divided by sine gamma,
00:35:47divided by sine gamma,
00:35:48divided by sine gamma,
00:35:49divided by sine gamma,
00:35:50divided by sine gamma,
00:35:51divided by sine gamma,
00:35:52divided by sine gamma,
00:35:53divided by sine gamma,
00:35:54divided by sine gamma,
00:35:55divided by sine gamma,
00:35:56divided by sine gamma,
00:35:57divided by sine gamma,
00:35:58divided by sine gamma,
00:35:59divided by sine gamma,
00:36:00divided by sine gamma,
00:36:01divided by sine gamma,
00:36:02divided by sine gamma,
00:36:03divided by sine gamma,
00:36:04divided by sine gamma,
00:36:05divided by sine gamma,
00:36:06divided by sine gamma,
00:36:07divided by sine gamma,
00:36:08divided by sine gamma,
00:36:09divided by sine gamma,
00:36:10divided by sine gamma,
00:36:11divided by sine gamma,
00:36:12divided by sine gamma,
00:36:13divided by sine gamma,
00:36:14divided by sine gamma,
00:36:15divided by sine gamma,
00:36:16divided by sine gamma,
00:36:17divided by sine gamma,
00:36:18divided by sine gamma,
00:36:19divided by sine gamma,
00:36:20divided by sine gamma,
00:36:21divided by sine gamma,
00:36:22divided by sine gamma,
00:36:23divided by sine gamma,
00:36:24divided by sine gamma,
00:36:25divided by sine gamma,
00:36:26divided by sine gamma,
00:36:27divided by sine gamma,
00:36:28divided by sine gamma,
00:36:29divided by sine gamma,
00:36:30divided by sine gamma,
00:36:31divided by sine gamma,
00:36:32divided by sine gamma,
00:36:33divided by sine gamma,
00:36:34divided by sine gamma,
00:36:35divided by sine gamma,
00:36:36divided by sine gamma,
00:36:37divided by sine gamma,
00:36:38divided by sine gamma,
00:36:39divided by sine gamma,
00:36:40divided by sine gamma,
00:36:41divided by sine gamma,
00:36:42divided by sine gamma,
00:36:43divided by sine gamma,
00:36:44divided by sine gamma,
00:36:45divided by sine gamma,
00:36:46divided by sine gamma,
00:36:47divided by sine gamma,
00:36:48divided by sine gamma,
00:36:49divided by sine gamma,
00:36:50divided by sine gamma,
00:36:51divided by sine gamma,
00:36:52divided by sine gamma,
00:36:53divided by sine gamma,
00:36:54divided by sine gamma,
00:36:55divided by sine gamma,
00:36:56divided by sine gamma,
00:36:57divided by sine gamma,
00:36:58divided by sine gamma,
00:36:59divided by sine gamma,
00:37:00divided by sine gamma,
00:37:01divided by sine gamma,
00:37:02divided by sine gamma,
00:37:03divided by sine gamma,
00:37:04divided by sine gamma,
00:37:05divided by sine gamma,
00:37:06divided by sine gamma,
00:37:07divided by sine gamma,
00:37:08divided by sine gamma,
00:37:09divided by sine gamma,
00:37:10divided by sine gamma,
00:37:11divided by sine gamma,
00:37:12divided by sine gamma,
00:37:13divided by sine gamma,
00:37:14divided by sine gamma,
00:37:15divided by sine gamma,
00:37:16divided by sine gamma,
00:37:17divided by sine gamma,
00:37:18divided by sine gamma,
00:37:19divided by sine gamma,
00:37:20divided by sine gamma,
00:37:21divided by sine gamma,
00:37:22divided by sine gamma,
00:37:23divided by sine gamma,
00:37:24divided by sine gamma,
00:37:25divided by sine gamma,
00:37:26divided by sine gamma,
00:37:27divided by sine gamma,
00:37:28divided by sine gamma,
00:37:29divided by sine gamma,
00:37:30divided by sine gamma,
00:37:31divided by sine gamma,
00:37:32divided by sine gamma,
00:37:34okay.
00:37:35Clear.
00:37:36Very good.
00:37:38All right.
00:37:40Okay, everybody clear.
00:37:41Thank you.
00:37:42Now let's talk about
00:37:44who scores
00:37:45the main target.
00:37:49Keep track of your
00:37:49main target
00:37:51if you haven't
00:37:51forgotten it yet.
00:37:54When we practice,
00:37:55we focus on
00:37:57what was the
00:37:58main target
00:37:59and how
00:38:01we need to
00:38:02So, when you keep this in mind and then study, what is the goal of this, why am I writing
00:38:07this line, because I will have to prove that thing later, or we want to know that thing
00:38:12later.
00:38:13As long as you see, the target is right in your mind, as long as you see that you are
00:38:19getting a sequence in the study, and as long as the sequence is in your mind, as long as
00:38:24you see that you are getting peace later, you are getting fun.
00:38:28Otherwise, everything will seem scattered, scattered.
00:38:30Do you understand?
00:38:31That is why whenever you study a chapter or start studying, try as much as possible
00:38:35to understand the flow, which I studied before, what I studied after that, what is the target
00:38:40after that, why did I study this.
00:38:42So, if you can understand the flow once, then you will see that studying will be easy
00:38:47and you will be able to find the logic gradually.
00:38:50In many cases, it will be like this, that you may be studying later, but right now you
00:38:55do not understand where it will go and work.
00:38:58At that time, the topic will go a little further.
00:39:01You will get a lot of topics in the whole chapter.
00:39:04Maybe you can get it in chemistry, or you can get something like this in math, or you
00:39:09can get something like this in physics, that you are studying one thing, but it is not
00:39:14clear right now where it will go and work.
00:39:17At that time, your job is to study that topic a little.
00:39:22Try to understand it as much as you can.
00:39:25It will work in front of you.
00:39:27If you can understand it at once, then it is best.
00:39:30But what can happen a lot of times is that if you understand it at once, then some flow
00:39:35can be lost.
00:39:36You can go a little slow.
00:39:38So, in that case, go a little fast, take an idea about the whole chapter, and then you
00:39:43can understand the topics again.
00:39:45Actually, where are the links?
00:39:47Do you understand?
00:39:48Where are the links?
00:39:50Okay.
00:39:51Good.
00:40:49Okay.
00:44:50Okay.
00:44:51Okay.
00:44:52Okay.
00:44:53Okay.
00:45:54Okay.
00:45:55Okay.
00:45:56Okay.
00:45:57Okay.
00:45:58Okay.
00:45:59Okay.
00:46:00Okay.
00:46:01Okay.
00:46:02Okay.
00:46:03Okay.
00:46:04Okay.
00:46:05Okay.
00:46:06Okay.
00:46:07Okay.
00:46:08Okay.
00:46:09Okay.
00:46:10Okay.
00:46:11Okay.
00:46:12Okay.
00:46:13Okay.
00:46:14Okay.
00:46:15Okay.
00:46:16Okay.
00:46:17Okay.
00:46:18Okay.
00:46:19Okay.
00:46:20Okay.
00:46:21Okay.
00:46:22Okay.
00:46:23Okay.
00:46:24Okay.
00:46:25Okay.
00:46:26Okay.
00:46:27Okay.
00:46:28Okay.
00:46:29Okay.
00:46:30Okay.
00:46:31Okay.
00:46:32Okay.
00:46:33Okay.
00:46:34Okay.
00:46:35Okay.
00:46:36Okay.
00:46:37Okay.
00:46:38Okay.
00:46:39Okay.
00:46:40Okay.
00:46:41Okay.
00:46:42Okay.
00:46:43Okay.
00:46:44Okay.
00:46:45Okay.
00:46:46Okay.
00:46:47Okay.
00:46:48Okay.
00:46:49Okay.
00:46:50Okay.
00:46:51Okay.
00:46:52Okay.
00:46:53Okay.
00:46:54Okay.
00:46:55Okay.
00:46:56Okay.
00:46:57Okay.
00:46:58Okay.
00:46:59Okay.
00:47:00Okay.
00:47:01Okay.
00:47:02Okay.
00:47:03Okay.
00:47:04Okay.
00:47:05Okay.
00:47:06Okay.
00:47:07Okay.
00:47:08Okay.
00:47:09Okay.
00:47:10Okay.
00:47:11Okay.
00:47:12Okay.
00:47:13Okay.
00:47:14Okay.
00:47:15Okay.
00:47:16Okay.
00:47:17Okay.
00:47:18Okay.
00:47:19Okay.
00:47:20Okay.
00:47:21Okay.
00:47:22Okay.
00:47:23Okay.
00:47:24Okay.
00:47:25Okay.
00:47:26Okay.
00:47:27Okay.
00:47:28Okay.
00:47:29Okay.
00:47:30Okay.
00:47:31Okay.
00:47:32Okay.
00:47:33Okay.
00:47:34Okay.
00:47:35Okay.
00:47:36Okay.
00:47:37Okay.
00:47:38Okay.
00:47:39Okay.
00:47:40Okay.
00:47:41Okay.
00:47:42Okay.
00:47:43Okay.
00:47:44Okay.
00:47:45Okay.
00:47:46Okay.
00:47:47Okay.
00:47:48Okay.
00:47:49Okay.
00:47:50Okay.
00:47:51Okay.
00:47:52Okay.
00:47:53Okay.
00:47:54Okay.
00:47:55Okay.
00:47:56Okay.
00:47:57Okay.
00:47:58Okay.
00:47:59Okay.
00:48:00Okay.
00:48:01Okay.
00:48:02Okay.
00:48:03Okay.
00:48:04Okay.
00:48:05Okay.
00:48:06Okay.
00:48:07Okay.
00:48:08Okay.
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