moaz ayman
moaz ayman
  • 2 weeks ago
Transcript
00:00:00Those who say Muaz is producing, don't exclude Mahmoud Al-Jahsh from the production.
00:00:06And this one too, leave her alone.
00:00:13As-salamu alaykum wa rahmatullahi wa barakatuh.
00:00:16Mahmoud is leaving before I say As-salamu alaykum wa rahmatullahi wa barakatuh.
00:00:19If you are going to do this, are you going to destroy our production of every episode?
00:00:23No, I won't.
00:00:24Mahmoud Al-Jahsh.
00:00:28The second one.
00:00:30As-salamu alaykum wa rahmatullahi wa barakatuh.
00:00:32How do we deal with it?
00:00:36The second one, I don't want to exaggerate.
00:00:38How do we deal with it?
00:00:45We took the first one to talk about the same limits.
00:00:48Look at the two laws.
00:00:50The one law, or the law of the general limit, the law of what?
00:00:53The ratio.
00:00:55So this part of the same limits, do you remember it well?
00:00:57Do you remember it well?
00:00:58Do you remember it well?
00:00:59Because we don't need anything in the second one.
00:01:01In the second one, there is a contradiction.
00:01:02And we say, no, there is another contradiction.
00:01:04And we solve it together.
00:01:05One by one, one by one.
00:01:06So let's start a new thing, sir.
00:01:09What is it about?
00:01:10The one law, in terms of the compound number.
00:01:13This compound number represents what, guys?
00:01:15A long time ago, when you, sir, tested my numbers.
00:01:17When I told you that the year of birth equals, for example, the year of birth.
00:01:21So I told you that the year of birth is equal to the period of birth, the year of birth.
00:01:25So you came and said,
00:01:27I was sitting, and I was running like this.
00:01:29So when you were running like this, what did you do?
00:01:32You ran.
00:01:34So when you were sitting, what did you do?
00:01:36You ran.
00:01:37So you grew a little, and you entered the year, and you became a youngster.
00:01:40You became a youngster in high school.
00:01:42And you became a youngster, like this, sir.
00:01:44And the youngster is facing this direction.
00:01:46And he can also face this direction, because he was a youngster in high school.
00:01:48We have a lot of young people in high school.
00:01:50Young.
00:01:51And older than them as well.
00:01:53So our problem is to find the negative root.
00:01:57It was impossible.
00:02:00So who can we find it through?
00:02:04They said, imagine that there is a negative root.
00:02:08What kind of imagination is this?
00:02:10We will take that there is a name for imagination,
00:02:13which means that there are three equations that make one negative.
00:02:16So there are three equations that make one negative.
00:02:19So it is possible that when I find a negative,
00:02:21I will put it in the place of a negative.
00:02:23So it is also possible that we leave the negative,
00:02:25the positive, and the negative in the place of the negative.
00:02:27We remove the negative, and put it in the place of the negative.
00:02:30So when the negative is replaced by a negative,
00:02:32there is a result.
00:02:33So the positive and the negative are two negative.
00:02:35The positive and the negative are what, guys?
00:02:37So the negative root can be used or not?
00:02:39It can be used.
00:02:40The negative root comes out in the place of the negative.
00:02:42It comes out in the place of the negative.
00:02:43So this negative has a root?
00:02:44Yes, it has a root.
00:02:45And when we deal with the negative root,
00:02:47it comes out in the place of the negative.
00:02:49He said that this is a part called the imaginary part,
00:02:52the imaginary number.
00:02:53So he started giving us some assumptions about the imaginary number.
00:02:56What are these assumptions?
00:02:58He said that the number is negative.
00:03:00It remains as it is negative.
00:03:02No, it expresses a new form of numbers.
00:03:06I will refer to some assumptions.
00:03:08What are these assumptions?
00:03:09That the square root of 3 is also equal to what?
00:03:11Negative 1.
00:03:12Well, I have the square root of 3.
00:03:14What is the square root of 3?
00:03:16The square root of 3 is 3.
00:03:18The square root of 3 is 3.
00:03:19So the square root of 1 is 3.
00:03:21Well, I have the square root of 4.
00:03:23The square root of 3 is 3.
00:03:25The square root of 3 is 2.
00:03:26The square root of 4 is 2.
00:03:27So the square root of 1 is 1.
00:03:29This was the basic form of dealing with the imaginary number.
00:03:34That any imaginary number has a form of one of these four.
00:03:38Either 3, or the square root of 3, or 1, or the square root of 1.
00:03:42Do we have other forms of the imaginary number?
00:03:44No.
00:03:45So, let's say I have any imaginary number.
00:03:47I will not assume anything else.
00:03:49No, guys.
00:03:50So, dealing with the imaginary number, if more than that.
00:03:53What do I deal with?
00:03:54For example, I have the square root of 10.
00:03:55How much will it be?
00:03:56The square root of 10, we will simplify it until we get a picture of these.
00:04:01Well, how do you simplify it?
00:04:03We used to divide it into fours.
00:04:05The square root of 4, the square root of 4, and so on.
00:04:07The square root of how much is left?
00:04:092.
00:04:10The square root of 4 is 1.
00:04:12And this is 1.
00:04:14So, now you tell me that the square root of 10 is 2.
00:04:16How much will it be?
00:04:172.
00:04:18The square root of 2.
00:04:19How much is the square root of 2?
00:04:202.
00:04:21So, how much is the final answer?
00:04:22We used to make a line and put it directly in our mind.
00:04:25When we have any large number, we subtract the square root of 4 from it.
00:04:29And what is left will be something like this.
00:04:31Any large number, I subtract the square root of 4 from it.
00:04:35So, for example, I have 3.
00:04:37And the question is, guys.
00:04:3915.
00:04:41How much will I subtract from it?
00:04:42And how much is the square root of 4 before it?
00:04:4412.
00:04:4512, right?
00:04:4612.
00:04:4712.
00:04:48Subtract 12 from it.
00:04:49How much is the square root of 3?
00:04:503.
00:04:51So, how much is the square root of 6?
00:04:521.
00:04:53How much is it?
00:04:546.
00:04:556.
00:04:56So, this is the simplest imaginative number.
00:04:57To take a picture of 4.
00:04:59What else?
00:05:00The imaginative number is specific to the title of our unit today.
00:05:04The complex number.
00:05:07Do you have an imaginative number and an imaginative part?
00:05:10You will have a new unit called the complex number.
00:05:14So, what was the complex number?
00:05:16Take a picture of a real part and an imaginative part.
00:05:202 plus 3 is the complex number.
00:05:22This is the real part, and this is the imaginative part.
00:05:25And this is our conclusion.
00:05:27And we took some simple mathematical operations.
00:05:30The operations of addition, subtraction, multiplication, and addition.
00:05:33We combine the real part with the real part, and the imaginative part with the imaginative part.
00:05:38And the operations of multiplication and subtraction.
00:05:40In the multiplication, when we meet a square root of 3, we convert it to 1.
00:05:43Or 3 to the power of 3, or 3 to the power of 4.
00:05:45These are the operations of multiplication and subtraction that we took earlier.
00:05:48So, dealing with the complex number in terms of these simple operations.
00:05:51You will say, I have used this number for a year, and I need it again.
00:05:54I need it, and I will come back to it in detail.
00:05:56But now you have imagined with me that there is an imaginative part and an imaginative part.
00:06:00And this number has formed something called the complex number.
00:06:03So, the complex number is not enough to exist as a simple equation in a linear equation.
00:06:08We have now a complete unit on it.
00:06:10This unit describes all the equations of the complex number.
00:06:13And this unit is called the unit of complex numbers.
00:06:19So, our second unit is called the complex number.
00:06:22As the first unit was talking about the same number up to 2.
00:06:24The second unit was talking about the complex number.
00:06:26So, let's start talking about some of the equations that we took in a linear equation.
00:06:29Let's say this unit is a complement.
00:06:31The complement is the opposite of the imaginary condition.
00:06:34So, how many?
00:06:352 minus 3.
00:06:362 minus 3.
00:06:37And we have a unit that combines the two sides.
00:06:39When I combine 2 with 2 and 3 with 3, how many?
00:06:43Four.
00:06:44Or if I multiply 2 plus 3 when I multiply it by 2 minus 3,
00:06:49I multiply by the way the unit is multiplied in its complement.
00:06:52I multiply the first by the first and the second by the second.
00:06:56And when I simplify them together, the result is a real number.
00:07:00I mean, just 2 times 2 is 4.
00:07:02The second is a complement.
00:07:033 times 3 is 9.
00:07:053 squared.
00:07:073 squared is the sign factor.
00:07:09So, we have the sign factor of this sign factor.
00:07:12So, 4 plus 9.
00:07:14So, how many did we get in the end?
00:07:16So, this is the process of multiplying.
00:07:18If I multiply the numbers that are not related to each other,
00:07:21I multiply by a general number.
00:07:22Like the multiplication of the limits of a equation.
00:07:24Like this.
00:07:25The first number in all, the second number in all, and so on.
00:07:27Let's listen to some simple mathematical operations
00:07:30on the complex number.
00:07:32This part was in the first year.
00:07:34I will need it again.
00:07:36And we will go through some examples.
00:07:38However, this is not the first lesson we have this year.
00:07:41I just thought of the imaginary number,
00:07:44the complex number,
00:07:46and some simple equations.
00:07:47I came up with a suggestion.
00:07:49And let's start with it.
00:07:52This is the third lesson on the complex number.
00:07:54What is the first lesson we will talk about?
00:07:56They say you have something called the different pictures
00:08:00of the complex number.
00:08:02This is the first lesson.
00:08:04We took the complex number on this picture.
00:08:06This picture has a name.
00:08:10It is called the algebraic picture.
00:08:12The algebraic picture is...
00:08:14We will name the number.
00:08:16Since it equals sine plus cosine,
00:08:18it means a real part and an imaginary part,
00:08:20like this.
00:08:22This is called the algebraic picture of the complex number.
00:08:24Do you know what this picture is called?
00:08:26The algebraic picture of the complex number.
00:08:28The algebraic picture of the complex number
00:08:30consists of a real part and an imaginary part.
00:08:32Now we have another picture.
00:08:34This second picture will make the mathematical operations easier.
00:08:37We will talk about it later.
00:08:39What is this second picture?
00:08:41Let's conclude it together.
00:08:43Let's conclude this picture together.
00:08:45The picture in front of us
00:08:47is a figure called Argand.
00:08:49A figure called Argand.
00:08:51What did Argand say?
00:08:53We can distinguish the picture you said
00:08:55is the algebraic picture
00:08:57by the transformation of equations.
00:08:59When you want to describe the number
00:09:01in the algebraic picture,
00:09:03you can describe it as a complex number.
00:09:05For example, I have the number 3 and 5.
00:09:07This is a complex number.
00:09:09You can call it a complex number.
00:09:11You can call it a complex number.
00:09:133 plus 4 is a real part
00:09:15and the imaginary part is a real part.
00:09:17The real part represents the axis of the chest.
00:09:19The imaginary part represents the axis of the chest.
00:09:21The imaginary part represents the axis of the chest.
00:09:23You can describe this number as 3 and 4.
00:09:25You can describe this number as 3 and 4.
00:09:27You can describe this number as 3 and 4.
00:09:29This is the complex number.
00:09:31We described it as a complex number.
00:09:33Argand said that we will not describe it like this.
00:09:35How will you describe it?
00:09:37He said that we will use the distance from the origin point.
00:09:39The distance from the origin point.
00:09:41The distance from the origin point
00:09:43The distance from the origin point
00:09:45The distance from the origin point
00:09:47The distance from the origin point
00:09:49The distance from the origin point
00:09:51The distance from the origin point
00:09:53The distance from the origin point
00:09:55The distance from the origin point
00:09:57The distance from the origin point
00:09:59The distance from the origin point
00:10:01The distance from the origin point
00:10:03The distance from the origin point
00:10:05The distance from the origin point
00:10:07The distance from the origin point
00:10:09The distance from the origin point
00:10:11The distance from the origin point
00:10:13The distance from the origin point
00:10:15The distance from the origin point
00:10:17The distance from the origin point
00:10:19The distance from the origin point
00:10:21The distance from the origin point
00:10:23The distance from the origin point
00:10:25The distance from the origin point
00:10:27The distance from the origin point
00:10:29The distance from the origin point
00:10:31The distance from the origin point
00:10:33The distance from the origin point
00:10:35The distance from the origin point
00:10:37The distance from the origin point
00:10:39The distance from the origin point
00:10:41The distance from the origin point
00:10:43The distance from the origin point
00:10:45The distance from the origin point
00:10:47The distance from the origin point
00:10:49The distance from the origin point
00:10:51The distance from the origin point
00:10:53The distance from the origin point
00:10:55The distance from the origin point
00:10:57The distance from the origin point
00:10:59The distance from the origin point
00:11:01The distance from the origin point
00:11:03The distance from the origin point
00:11:05The distance from the origin point
00:11:07The distance from the origin point
00:11:09The distance from the origin point
00:11:11The distance from the origin point
00:11:13The distance from the origin point
00:11:15The distance from the origin point
00:11:17The distance from the origin point
00:11:19The distance from the origin point
00:11:21The distance from the origin point
00:11:23The distance from the origin point
00:11:25The distance from the origin point
00:11:27The distance from the origin point
00:11:29The distance from the origin point
00:11:31The distance from the origin point
00:11:33The distance from the origin point
00:11:35The distance from the origin point
00:11:37The distance from the origin point
00:11:39The distance from the origin point
00:11:41The distance from the origin point
00:11:43The distance from the origin point
00:11:45The distance from the origin point
00:11:47The distance from the origin point
00:11:49The distance from the origin point
00:11:51The distance from the origin point
00:11:53The distance from the origin point
00:11:55The distance from the origin point
00:11:57The distance from the origin point
00:11:59The distance from the origin point
00:12:01The distance from the origin point
00:12:03The first picture is called the Gabriel's picture
00:12:05The first picture is called the Gabriel's picture
00:12:07The first picture is called the Gabriel's picture
00:12:09The second picture is called the Triangle's picture
00:12:11The second picture is called the Triangle's picture
00:12:13The third picture is called the Triangle's picture
00:12:15The third picture is called the Triangle's picture
00:12:17The fourth picture is called the Triangle's picture
00:12:19The fourth picture is called the Triangle's picture
00:12:21The fifth picture is called the Triangle's picture
00:12:23The sixth picture is called the Triangle's picture
00:12:25The seventh picture is called the Triangle's picture
00:12:27The eighth picture is called the Triangle's picture
00:12:29The ninth picture is called the Triangle's picture
00:12:31The tenth picture is called the Triangle's picture
00:12:33The eleventh picture is called the Triangle's picture
00:12:35The twelfth picture is called the Triangle's picture
00:12:37The twelfth picture is called the Triangle's picture
00:12:39The twelfth picture is called the Triangle's picture
00:12:41The twelfth picture is called the Triangle's picture
00:12:43The twelfth picture is called the Triangle's picture
00:12:45The twelfth picture is called the Triangle's picture
00:12:47The twelfth picture is called the Triangle's picture
00:12:49The twelfth picture is called the Triangle's picture
00:12:51The twelfth picture is called the Triangle's picture
00:12:53The twelfth picture is called the Triangle's picture
00:12:55The twelfth picture is called the Triangle's picture
00:12:57The twelfth picture is called the Triangle's picture
00:12:59What is changing here? The Angle
00:13:01The Angle
00:13:02We call it the Sixth
00:13:03Because it is a complex number, we call it the Sixth
00:13:05What is changing here?
00:13:06Instead of changing the symbol in the interval
00:13:08No, in the class, what is changing here?
00:13:10The Angle
00:13:11What is this?
00:13:12This is called the different picture of the complex number
00:13:15The different picture, guys, is a complex number
00:13:17What does it mean?
00:13:18If you have the number 8
00:13:20And the Sixth is, for example, 60
00:13:25What makes up the different picture?
00:13:27The number 8 and the number 6
00:13:30They want to make up a different picture
00:13:32Let's start by forming the picture
00:13:34The first picture is the Triangle's picture, for example
00:13:36How did you write it?
00:13:37No
00:13:38It was
00:13:398 plus 8
00:13:41It became
00:13:4260
00:13:43Plus 60
00:13:45This is how we formed the Triangle's picture
00:13:47Of course, the main picture
00:13:49So, 2 equals
00:13:50Was
00:13:518
00:13:52This
00:13:538
00:13:54This
00:13:55Plus
00:13:56This
00:13:5760
00:13:5860
00:13:59But look here
00:14:00We will not write the number in the 60th place
00:14:03We will write the circle to make it special
00:14:05In the shape of the rectangle
00:14:06So, the number 8 is in the pi
00:14:08It must be in the pi
00:14:09It must not be in the 60th place
00:14:10No
00:14:11The number 8 is in the 3rd place
00:14:12It must be in the pi
00:14:13So, I should have known the number 8 here
00:14:15Or I should have done it
00:14:16It is the number 8
00:14:18How do we produce it if I do not memorize them?
00:14:20I divide the number by 180
00:14:22If I divide 60 by 180, it becomes 3
00:14:24If I divide 3 by 3, it becomes 3
00:14:26Or we memorize them
00:14:28The most famous of them, we memorize them
00:14:30Because they are mean
00:14:31The pi
00:14:32This pi is mean
00:14:33180
00:14:34And the pi by 2
00:14:3590
00:14:36And the pi by 4
00:14:3845
00:14:39And the pi by 3
00:14:4160
00:14:42And the pi by 6
00:14:4330
00:14:44They are the opposite of each other
00:14:45Or you memorize the opposite
00:14:46You memorize the opposite
00:14:47180 is mean
00:14:48Pi
00:14:49And 90
00:14:50Pi by 3
00:14:51And 45
00:14:52Pi by 4
00:14:53And 60
00:14:54Pi by 3
00:14:55And 30
00:14:56Pi by 6
00:14:57Pi by 3
00:14:58And 30
00:14:59Pi by 6
00:15:00Pi by 6
00:15:01Pi by 6
00:15:02Pi by 6
00:15:03Pi by 6
00:15:04Pi by 6
00:15:05Pi by 6
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