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هي مكتبة رقمية تحتوي علي آلاف الفيديوهات العربية في جميع المجالات
It is a digital library containing thousands of Arabic videos in all fields.
قوائم تشغيل فسيلة
https://www.dailymotion.com/fasela/playlists
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LearningTranscript
00:00I've arrived, uncle.
00:04My name is Dr. Magdi
00:06She doesn't deserve the title of uncle yet.
00:08My daughter's dignity is not worth it.
00:12All of this was not worth it
00:14You made me feel like a fool
00:16He ate flies and he ate cardamom
00:18And in the end, it turned out to be the volcano.
00:19What else should I do?
00:21There's still one more test.
00:22The real test of masculinity
00:25I'm not neglecting the fertility test.
00:27any
00:28Do you believe that I will extinguish the volcano?
00:30No, of course not.
00:32Who brought the volcano Saturday?
00:33Why did you bring us here?
00:35Because of the view
00:35I brought you here to solve this.
00:37What is this?
00:38In Tart after
00:39This is the equation sine
00:42This is the equation that Einstein failed to solve.
00:44When Einstein was unable to solve it
00:46Essam Lamouna is the one who will know her portion, meaning
00:48Einstein doesn't want to get too close to my daughter.
00:50Essam Lamouna is the one who wants
00:52Because he's an idiot
00:53any
00:54Give me some time, please.
00:58any
01:28I feel like I'm ready now
01:36I'm blind now, I'm ready.
01:40Show me the argument
01:41A blind man sends me greetings to your beloved.
01:55He sends his regards
01:56I think it will be a little late
02:00Dear viewers, may God’s blessings and peace be upon you.
02:10There will be two new episodes of the Al-Daheeh program.
02:11Dear friends with literary hearts
02:14This episode is not for you
02:16No, Abu Hamad, what will it contain?
02:17You know, my dear
02:18This episode contains some math.
02:20The good one for the math lover
02:22People who remember the series "Meem"
02:24Why are we evil and China cracking? That's good.
02:26It means his friend from now on
02:27I'm saying
02:28Dear viewer, if I put a cucumber and a female cucumber in front of you
02:30I told you to gather them
02:32Dear, this is not a trap.
02:33Answer seriously, two options
02:34one plus one
02:35two
02:36What if you removed the cucumber from in front of you?
02:37And I told you to gather
02:38Gather them, Abu Hamad
02:39Gather the air, it's not a choice.
02:40In the tribe, my dear
02:41Correct answer
02:42Zero cucumber
02:43Okay, what is this, my dear?
02:44I told you to collect it for me
02:45Negative of the options that were here
02:46With the negative of the second options
02:47That's the trap.
02:50This is my dear
02:51The topic of this episode
02:52Maybe you have memorized it
02:53A negative times a negative, according to
02:55But did your red hair think?
02:56If he was in front of you
02:57For example, my work is tangible
02:58Is it acceptable for a cucumber to have a negative value?
03:01Gathering
03:01Is it on her sister, the negative cucumber?
03:02The truth, my dear
03:03That was a reaction
03:04Mathematicians
03:05For thousands of years
03:06Those who refused confessed
03:07With the idea of a negative number
03:08Reaching the world of British mathematics
03:10Francis Masers
03:11The one who described the year 1858
03:12The concept of negative numbers
03:14He described it as
03:15A hypothesis that reflects darkness and obscurity
03:17On things that are supposed to be natural
03:18Easy and clear
03:19We had a choice in front of us, we counted
03:20Why are you taking it away from us?
03:21And the rest of us will put it in his place.
03:22negative word
03:23While it remained non-existent
03:24And anger exists
03:25So why?
03:25We as humanity
03:26We're so tired
03:27So they counted, gathered, and cast
03:28If you feel, my dear
03:29The subject of Consep Shawali is difficult.
03:30Let's come to you with the hardest part.
03:31If you still can't understand
03:33What does negative number mean?
03:34So what happened?
03:35If I asked you
03:35square root of this negative number
03:37If I asked you, my dear
03:38Give me the square root of a number, like 9.
03:393 tells me
03:40Because if you multiply 3 by itself
03:419
03:42This is something, my dear.
03:43You don't just memorize it
03:44You can see it
03:45If we draw a square
03:45Its area is 9 squares
03:47Its side length will be
03:48three
03:48Forget three
03:49square root 25
03:50five
03:50If we have a square
03:51Its area is 25
03:52So the length of its side
03:54five
03:54The square root of 25 remains
03:55five
03:56Problem, of course
03:57It comes when we go
03:58For negative numbers
04:00When you come and tell me
04:01negative square root of one
04:02Sorry
04:02What's the need?
04:03The one that is as it is
04:04Multiply them together
04:05My religion is negative
04:06Playing it made me
04:07From the same game of squares
04:08If you have a complete square
04:09Its area is negative one
04:10The length of its entire side
04:11Mohammed
04:12No square will work
04:13Its area is negative one
04:15The question here is meaningless.
04:16We are ready for her, Muhammad.
04:16Focusing on the negatives
04:17Let's not leave the negatives
04:18Di Bijraha
04:19We work on what we see.
04:20Let me tell you, my dear
04:21Scientists did this
04:22For a long time
04:22Until they started to care
04:24With algebra and equations
04:25Specifically, what is known
04:27With cubic equations
04:28Quebec
04:29This is an equation that contains
04:30x variable
04:31Which is the letter S
04:31Raised to cut three
04:33With a shorter limit
04:33Three-dimensional cube
04:35For example
04:35If I told you what the solution to the equation is
04:37Two X
04:38Cut three plus ten x
04:39It equals thirty-six
04:41Solving the equation means
04:42Finding the value of the variable x
04:44The one that makes
04:44North is our equation
04:46The right side of our equation is equal to
04:47In that case, my dear
04:48If you were as flirtatious as I am
04:50You'll keep trying numbers
04:51Once you give me numbers
04:52Look above thirty-six
04:53Once you give me numbers
04:54It takes you below thirty-six
04:56And you're just being sarcastic with your knowledge.
04:57Until you find the right number
04:59Trial and error
05:01In this case
05:01Trial and error
05:02Trial and error
05:03It will reach you
05:04Number two
05:04It is one of the solutions to the equation
05:06Because if you compensate for each x
05:08Or every sin with two
05:09You'll find that the right is equal to the left.
05:11This, my dear
05:11Correct answer
05:12But it took a long time
05:13Time won't do us any good
05:14If the equation
05:15It's more complicated than that
05:16It has more variables
05:17For example
05:17Take AXX3
05:19Plus BXX2
05:21Plus CX
05:21Plus D equals 0
05:23Very difficult
05:23You are here to sit and experiment
05:25Try and overcome
05:26Mathematicians
05:27They definitely have easier solutions.
05:28Set of steps
05:29It can be applied to any equation.
05:31Whether easy or difficult
05:32Tayeb Ahmed
05:32Look for these steps
05:33And scientists are still experimenting
05:35my darling
05:35Research these steps
05:36The years continued
05:37Egyptians worked on it
05:39Greeks
05:40and Babylonians
05:41and years
05:41We would like
05:42They all tried
05:43They find a general way
05:44They enjoy it
05:45Cubic equations
05:46To the point that Luca Pacioli
05:47One of Da Vinci's teachers
05:48He described this problem
05:50There's no solution.
05:50She only sees that you are working with her
05:51You change the experience
05:52Omar Khayyam, for example
05:53Vernani Kolam Oud
05:54The author of the Rubaiyat of Omar Khayyam
05:56He was able to find a solution
05:57Some examples of quantitative equations
05:59In an engineering style
06:00He said, with the utmost sportsmanship
06:01Honestly, the group
06:02That's it
06:03I tried to find a solution, Jabri.
06:05But I couldn't
06:06In fact
06:07After Omar Khayyam
06:08They're already here, people
06:09They succeed in solving these equations
06:11Jabria
06:12For example, about you
06:13The world is Sevilla Delivero
06:14Jabri reached a solution
06:15For some of these equations
06:16but
06:17I hid the gendarme
06:17I'll tell you the results.
06:18But I'll tell you the steps
06:19Okay, Abu Hamid, should I do that?
06:20Because, my dear
06:21He should have a weapon card.
06:23Nobody knows him
06:23He helps him
06:24He is keeping his job
06:25And its scientific center
06:26So, what is it?
06:27I know the proof
06:27As proof, I'll show you the solutions.
06:29But no one will know the proof.
06:30No one will know how the shops are
06:31And if I were to die
06:32I work alone
06:33I have proof.
06:34But my dear
06:35If you watched the math episode, it's forbidden.
06:37You'll know that he told this secret
06:38To distinguish him
06:39He was on his deathbed
06:40His student was Antonio Fiore
06:42Antonio, my dear, unfortunately
06:43He was in the same situation as me.
06:44What's wrong, Abu Ahmed?
06:45handsome
06:45No, my dear, may God bless you
06:47But he had limited abilities
06:48When he was afraid of debates in front of old scholars
06:51With pictures of the solutions that the professor tested
06:53He was losing tragically and tragically
06:55He stands in front of Fataha
06:56The Tartageya
06:56The world will find a solution
06:58For some adaptive equations
06:59independently
07:00But he still
07:01He'll do like Deliveroo
07:02And he hides it
07:03I wish, my dear, that one day
07:03He lives in the time
07:04The one who has the secret of the qualitative equations
07:06He lives in safety
07:07It's not worth it, my dear.
07:08The solution is generally widespread.
07:10Not with Cardano
07:12The one who's nagging at Tartageh
07:13Until he says
07:14His solution
07:15And he swore he would never publish it
07:16Hey, let me tell you something
07:17Yeah, and someone knows
07:19Cardano takes the solution
07:20And he develops the steps
07:21Default steps
07:22Or with today's troubles
07:23Algorithm
07:24algorithm steps
07:25Do this
07:25So when this appears
07:27It will be like this
07:27It will be like this
07:28This
07:29And Cardano publishes this algorithm
07:31A question, Abu Hamad
07:31What does the dog Cardano mean?
07:33It is for secret publication
07:34they?
07:34I'm not afraid
07:35Or what?
07:36Honestly, my dear, Cardano was rich.
07:37And he wasn't a job opener
07:38His scientific prestige was of greater concern to him.
07:40Regardless of his moral prestige
07:42He no longer remembers that he was the one who leaked the secret.
07:44He told him not to publish it, meaning
07:45Hamad, excuse me, just a question
07:46You took me, wrapped me up, and rode me
07:48Italy took me
07:49What does this have to do with the Soualem Islands?
07:50In his book
07:51Ars Majna
07:52While Cardano presents his solutions
07:54He is pleased with the Sultan
07:55And he laughs
07:56Aristocrat said
07:56He will be surprised by similar cubic equations.
07:59This, my dear, is an equation.
08:00If you tried to solve it
08:01As I told you at the beginning
08:03You'll find the solution is four
08:04What's crazy is Cardano
08:05He knows the solution.
08:05But I don't know the cats
08:06And I don't know the way
08:07The one who makes him correct the steps
08:09And it makes sense.
08:09It's an illogical approach.
08:11Because you are hovering here, my dear
08:12He takes islands to Salem's number
08:15And from his lineage
08:16Like I told you from the very first episode
08:17A pointless episode
08:18The equation has a solution.
08:19But her enemies are meaningless
08:20Cardano, my dear
08:21He sits in front of the issue
08:22And he pulls at the hair
08:23Until he decides
08:24He leaves the matter completely.
08:25The concept of square roots
08:26For these negative numbers
08:27As subtle as it is useless
08:29superficial
08:30And he does not ask her for any benefit.
08:31And after ten years
08:32Mathematician
08:33Rafael Bombelli
08:34Feel it, my dear
08:34Goal against Africa
08:35This world
08:36He will try to continue behind Cardano
08:38But he'll decide to do something really nice
08:40Hey guys, why are we down?
08:41Why We Are Stack
08:42Uncle Rafael
08:43What agreements are we talking about?
08:44Solve this equation
08:45We need to bring in a gas station owner.
08:47That's something, like I'm telling you.
08:49Give me some water, we've dried up
08:50Or contaminated electricity
08:51Or bring me a wet fire
08:52These are things that shouldn't happen.
08:54I can't tell you
08:54Take the tuberculosis, a little fire, those
08:56We add them to the impurities
08:57Rafael is here, he'll say
08:58Oh, you scum
08:59What you consider it
09:00Just numbers
09:01No, it's negative.
09:01Nor is it positive
09:02Let's try it.
09:03We walk behind
09:04Why you
09:05You have two positions when naming
09:06We see it as illogical
09:07Leave your pores
09:08They called her Najwa, sir.
09:09Numbers of Najwa, sir
09:10Let's go
09:11Focus on the impact
09:12As long as we get the correct answer
09:14Yes, we are completely satisfied with him.
09:15Bambili with a stallion
09:15They have the steps
09:16So he can see
09:17What will happen?
09:18And using this strange idea
09:19He will find the solution to the equation
09:20After simplification it will be
09:21Two plus carrots minus one
09:24Plus two minus carrots negative one
09:26The two numbers add up
09:27Considering
09:28The islands of Neg one
09:29Independent number
09:30Positive bird, negative islands, one
09:32With the islands of Negation, one
09:33The two sweet things are combined with her mistakes for the positive.
09:35The solution will show you the profits
09:36Which is really
09:37One solution to the cubic equation
09:40The one above
09:40We simply
09:41Our bird is positive, Najwa
09:43With Najwa's abduction
09:44I don't care about your name
09:45And your address
09:46And your age
09:46Nor your religion
09:47I care about the positive aspect of Picancel being negative.
09:50This is with that
09:50We solved the equation
09:51Why did I teach him?
09:53At this moment, my dear
09:54We are not facing an exceptional solution
09:56To equalize people's confusion
09:57We are ahead
09:58MindShef's complete transformation
10:00In the same way of thinking
10:01The one who refused
10:03Any illogical data
10:04Even if it leads us to a logical conclusion
10:06New idea
10:07It will change a lot.
10:08Not just in the radiant
10:09But there are also sciences like engineering and physics.
10:11The idea that we have unrealistic figures
10:14But it is useful
10:16A powerful revolutionary idea
10:17Intermediate step
10:18We arrive at the correct solution
10:20Correct final solution
10:22There is no negative option
10:23And there is no square with an area of negative one
10:25Say "nothing" as you please
10:25But assuming these things exist
10:27As intermediate steps
10:33Unfortunately, my dear ones
10:34Impossible athletes
10:35They call the islands of Negev Naj'a
10:37In fact, they are the ones who choose it as a kinder symbol.
10:39They will call him
10:39any
10:40First letter of the word
10:41Imagine
10:42The name given by René de Carr
10:45On the roots of negative numbers
10:47And I understand
10:47They treat it as a separate entity.
10:49Neither positive nor negative
10:50If we add up this imaginary number
10:52On the number of his right
10:53A new number will appear.
10:54Its name is the compound number
10:56complex number
10:57This compound number
10:58Total part
10:59real part
11:00It's a normal number
11:01It is an imaginary part
11:02It is an imaginary number
11:03What do you need?
11:03This imaginary part
11:04regular number
11:05But it's damaged
11:06In the islands of Neg One
11:08He took an "i" like that in his face
11:09They look so dear
11:10a plus
11:10ib
11:11a true
11:12b Real
11:13But he got hit in the face with an i
11:14Therefore
11:15ib, that's all.
11:16The imaginative part
11:18From this compound number
11:19countries, for example
11:20Examples of a vehicle's odometer
11:21five
11:22Plus four, i.e.
11:23Here is sports
11:23And dignity
11:24Fatab ehna
11:24We broke our old rules
11:26Let's push harder
11:28Let's see how we can develop this idea.
11:30We invent mathematical operations
11:31We invent definitions for addition and subtraction.
11:34The blow and the name
11:35On complex numbers
11:36And we will see this, this, this
11:37Where are we going?
11:37With this statement,
11:38You are corrupting the language of the universe
11:40All languages exist
11:41You're going to invent something about it.
11:42Hatbozha
11:43And praise be to God, if you please
11:44Preserve your dignity
11:45Which is your demonstrator
11:46Because if you don't understand, stop there.
11:47I know, my dear
11:48The word "invented" might be upsetting.
11:49Let's go, my dear
11:50Let's go back to our complex numbers.
11:52We'll find it
11:53Like between us
11:54Useful numbers
11:54Problem situation for scientists
11:56You dream of complicated fairness
11:57But here it remains
11:58What's its system?
11:59What is the system?
12:00What is the equation?
12:01What's the move?
12:02What system have we created?
12:04If we look
12:04You will find
12:05Basic operations
12:06Which is done on complex numbers
12:08Whether it's a mosque or a listener
12:09or subtraction or multiplication
12:10We will find it to be considered an applied version
12:12From the operations
12:13The ones we're used to
12:14for real numbers
12:16Except that everything we find in front of us
12:18any
12:18The story of two
12:19We'll remove it
12:20We compensate for it with one negative.
12:21Because theoretically
12:22Islands of any kind
12:23In the islands, the same need
12:24You give us
12:25The need
12:26Nine Islands
12:27In nine islands
12:27nine
12:28Therefore
12:29Najwa Islands
12:29In the islands of Najwa
12:30Benjowa
12:31We don't know who Najwa is.
12:32We don't catch it
12:33We don't see it
12:34We don't know any details about it.
12:35But we know
12:36If its islands
12:37It was hit in its islands
12:37Or its islands were the story of two
12:39You'll get a snake
12:40Tani
12:40We don't know who Najwa is.
12:41Andoidont Al-Kair
12:43But if there's still a Najwa
12:44We'll know how to deal with her.
12:45Come here, my dear
12:45Let's try again and see.
12:46What will happen?
12:47If you kept hitting any
12:48He's very self-absorbed and has a quarter of a person in him.
12:49Any square
12:50Which is 1 in 1
12:51It equals negative one
12:52Any cut three
12:53It equals any cut of two
12:55Fay
12:56The one who cuts two
12:57Remember
12:57Equal to negative one
12:59Any cut-off of two is always negative one
13:00negative one phi
13:02negative i
13:03Okay then, yeah
13:03my darling
13:04If we have any cut four
13:06By His grace, I see it is possible
13:07I'm trying to be polite at the moment
13:08And no one is taken in the ring
13:09What is a four-dinar cut?
13:10Think about it
13:11I miss you, my dear
13:11Which cut of three was it?
13:13negative i
13:13Negative i
13:14In any
13:15negative squared
13:16It means negative negative one
13:18one
13:18Understood?
13:19you have
13:19Any cut five
13:20Which is
13:21Any cut four
13:21In any
13:22Why cut four?
13:23If we get the customers back
13:24The ones we made
13:25with you
13:25Any cut four
13:26one
13:27In any one cut
13:28Which is a
13:29In one B, I
13:30Any cut six
13:31Any cut 5 in any
13:32Any cut 5 for the two, by which
13:34YV1 -1
13:36Which cut 7 is better than which cut 6 is better?
13:38-1 times any by negative any
13:40Any cut 8
13:41Any cut of 7 by negative 1
13:43In which case is the negative of any squared?
13:45It means negative -1
13:47According to 1
13:48Dear, haven't you noticed anything?
13:49Oh Abu Hamin, I swear to God, I've ruined you.
13:52What's wrong, Abu Hamin? I thought you were talking about these jokes.
13:53Go wash this
13:54You write something important
13:55My dear friend, what I'm trying to tell you is that we keep repeating the same result in front of you.
13:58Look
13:59There was still a loop
14:00negative 1
14:00Then negative i
14:01Then positive 1
14:02Positive
14:03And the pattern begins to repeat
14:04You'll meet again
14:05-1 -i
14:06Then positive 1 is positive
14:08Then the pattern repeats
14:09-1 -i
14:10Positive 1, positive i
14:12And prefer
14:12thus
14:13Mohammed, this statement seems dangerous.
14:15But I don't understand
14:15Can you get me something visual?
14:17Because I'm at the photographic memory
14:20Okay, brother
14:21Let's go to the drawing.
14:22Let's go to engineering
14:23Aren't you tired of looking at pictures, my brother?
14:24I'll show her the pictures
14:26Let me, my dear
14:27I took you by the hand to the village of 19
14:29Mohammed, don't let him be.
14:30The world is argent
14:31He told you
14:31Let's make things a little easier about the sweetness of life.
14:32Let's simplify the topic of complex numbers
14:34We draw it like this and look at it
14:36Not us
14:36Real numbers
14:37We can draw it on the horizontal number line.
14:39Let's draw imaginary numbers
14:41On the vertical number line
14:43Deliberately horizontal
14:44And each complex number remains
14:45It is a point in the argent plain.
14:48horizontal axis
14:49On the real part
14:50Our numbers and we know them
14:51And they are keeping it safe
14:52Colors, To, Secret, Phone, and Countries
14:54My Lord is One
14:55Two, Dad and Mom
14:56Three of my sisters
14:57The numbers we learned in KG1
14:59On the vertical axis remained
15:00We draw the imaginary part
15:01any
15:02Two, what?
15:03Three, yes
15:03Four, any
15:04After that
15:05As you can see, Aziz is in the drawing like this
15:06This allows us
15:07We can express any complex number
15:10Bane Victor
15:10or a gathering
15:11Upward value direction
15:13This is the aviation, my dear
15:14We asked where your point is.
15:15Send me the corner
15:17And he sent me the distance
15:19First thing you'll send me
15:20Your distance
15:22and the corner
15:22I'll come to you, I'll reach you
15:23So we can express this number
15:25Or this vector
15:26Two itches
15:27The length which is R
15:28and direction or angle
15:29The one who does it on the x-axis
15:31Vita Corner
15:32Let's take you into a new problem, my dear.
15:34And I promise you that whoever you are, Laura, is the case.
15:35Can you simplify?
15:35Come on, my dear, I've prepared your shanty
15:37I brought your pancakes and macaroni
15:39Where are we going on our trip? Where will we go?
15:41periodic function
15:42periodic function
15:43Its proponents call it the triangular function.
15:44Specifically, a coffee pot called Al-Sain
15:46And a coffee pot called Al-Kasain
15:47Mohammed, just one second.
15:48I asked, but I'm afraid.
15:49What does "dallah" mean?
15:50What can I tell you, my dear? The coffee pot
15:51Besides, it means we are diverse
15:53However, it is a relationship between two or more variables.
15:55If any of them changed, a change occurred.
15:57The second one changes because of him
15:58We usually call the first variable
16:00independent variable
16:02We call the second variable
16:03dependent variable
16:04Because it depends on the change in the independent variable
16:07For example, you
16:08Yes, you were created as a midwife.
16:09Every time someone interrupts you while you're speaking
16:11Your anger in responding will remove
16:12So here I can say that your level of nervousness
16:14It is a coffee pot
16:15Dallah in the number of times
16:17When someone interrupts you
16:18The independent variable here
16:19It is the number of times in your boycott
16:21And you're talking
16:22Del Galak from outside
16:23independent
16:23The follower remained
16:24The one who is increasing the boycott
16:26It is your level of nervousness
16:27In this case
16:27It is the dependent variable
16:28Do you understand the idea of the coffee pot?
16:29We'll return the caravan, we won't return it.
16:30Sain and Cousin
16:39Because they are repeating themselves
16:41Every now and then, periodically
16:42If we come, let's focus on the triangle.
16:44The trick and the right angle in front of us
16:45We will be able to provide definitions for trigonometric functions.
16:48as follows
16:49We will say that the sine of any angle in the triangle
16:51The length of the side opposite this angle is equal to
16:53Divided by the hypotenuse
16:55While the definition of cocaine is
16:57The length of the side of the triangle adjacent to the angle
16:59Divided by the diagonal of the triangle
17:01Hence the term "triangular coffee pot"
17:04This is so sweet, my dear, it's beautiful
17:05As long as our angle is our vita
17:08Less than ninety degrees in a right-angled triangle
17:10Forget about that, my dear
17:11If someone wants to annoy us
17:12It's normal for it to grow bigger in the corner.
17:14It grows bigger for us in the corner
17:15It grows bigger for us in the corner
17:16Here's where the moment will come.
17:17The triangle is right-angled.
17:18Unable to maintain a right angle
17:21Because the side adjacent to the corner here
17:23It will keep getting smaller and smaller and smaller and smaller
17:26A certain length remains a row
17:27And the triangle, my dear, transforms into a vertical line.
17:30Her time
17:30Vita angle on the X-axis
17:32It will be equal to 90 degrees
17:34If you complete the rotation of angle Vita with the positive X-axis
17:37The angle will increase and become an obtuse angle.
17:39And it's impossible to be a pioneer
17:41A right-angled triangle has an obtuse angle.
17:44Because, simply put, a triangle is by definition a set of 180 angles
17:48The right-angled triangle has a 90-degree angle.
17:51Reservation 90
17:52It is impossible under any circumstances for us to have an angle greater than 90 degrees.
17:56And it's still called Triangle
17:57My dear, let me tell you that this simple trigonometric definition
18:00For the sake of greatness and cosine
18:02But as long as the angle vita is an angle of one of the three
18:04Besides that, when Bebauk took it from us
18:06And the issue is escalating
18:07We need to create a new, slightly more general definition.
18:10If the angle grew bigger
18:11That statement, my dear, leads us to a general definition of sine and cosine.
18:14Considering them as periodic functions
18:16Come, my dear, let's look together at this beautiful shape.
18:18Here we have a circle whose radius is exactly one.
18:21And a point on which it moves rotates and turns
18:24The Vita angle is still with us, just as it was.
18:26The angle between the x-axis
18:27The side that connects the center of the circle to the point that rotates
18:31Do you see this axis? This line that keeps winding around?
18:34Okay, my dear, let's add more Vita one at a time.
18:36And we see the point that rotates on the circle
18:38How do its coordinates change?
18:39Which coordinates, my dear, at the point are x and вход?
18:42Be careful
18:42Our coordinates can be positive or negative
18:45Depending on which quarter you are in
18:46In our circle
18:47That means if you are a point on the circle towards the right
18:49x-axis
18:50The coordinates of the point here
18:51X for 1 and Y for 0
18:53If you turn ninety degrees
18:54You will find the coordinates of the point are
18:56X is zero and W is one
18:57Turn another ninety degrees
18:59The coordinates of the point meet
19:00X is negative one and Y is in a row
19:01And so and so and so on
19:03Here, my dear
19:04We can find the most general definition of sin and cosin for our
19:09We're no longer forced to
19:10We remain accustomed
19:11No, guys, the corner isn't Harf Kam
19:12No, we won't know.
19:13no
19:14Here we will provide a more general definition of sin and cosin
19:16Don't worry about who's the aggressor and who's the opponent.
19:19And she interfered with me in matters of triangles
19:20flaw
19:21The definition here, my dear, is as follows:
19:22The coefficient of any theta angle
19:25We will know that it is the value of the X coordinate of the point that you made in my video
19:30While the sin of the angle is Vita
19:32It is the Y-coordinate value of the same point.
19:36For example, dear Four Examples
19:37To make things easier for ourselves
19:39This point
19:39Our Vita is 120
19:41Okay, now tell me what the letter "S" is.
19:42Excellent, my dear! Bravo! How did you figure it out all by yourself?
19:44Tab Al-Kuzin
19:45Excellent, my dear! Bravo! How did you figure it out all by yourself?
19:47If you felt, my dear, as long as you are in the first spring
19:49You can work with triangles and no one will notice.
19:51This definition will give you the exact same mathematical result.
19:54For the definition that is based on the right-angled triangle
19:56So, my dear, we can consider the example of the triangle that we used at the beginning.
20:01Which is a right angle
20:02It is a special case of the general definition of syncosin
20:06There's another one, my dear, with two definitions.
20:07The definition of triangles is a special case.
20:09That's when we're less than a ninety-degree angle.
20:11But after we open
20:12Now we move on to the general definition, which is based on the circle.
20:15What I said a little while ago
20:16Understood?
20:16So you sit there, my dear Prince.
20:18A cup of tea
20:18And it gives a high price in the city.
20:19Gal in Sita
20:20Come here, my dear
20:21I mean, I see you as a pimp and a hess and stuff
20:23Let's play a new game
20:24We will sit
20:25So, I found us and we're playing with it and stuff.
20:27We'll keep changing the settings
20:29And we draw in a completely new graph
20:31The relationship between the value of the angle theta and its x-axis
20:34That's how we did it, my dear.
20:35We'll find it drawing a wave shape.
20:37Wave
20:38Like, my dear, the wave that's playing in front of you
20:40A little above zero and a little below zero
20:42A little above zero and a little below zero
20:44A little above zero and a little below zero
20:45You will also notice
20:46If you go around the circle completely
20:49You prefer to repeat yourself again
20:52And the wave is repeating itself from the beginning.
20:53That's why we call sine and cosine periodic functions
20:57Bouhamid Mabrouk, you have proven to me and to all of humanity
21:01If you like to explain and understand his arguments and you know how to explain
21:04Why are we discussing this topic above?
21:06I am not illiterate with a "seen" or a "kouseen".
21:07And what is the relationship between x and cos, circles, triangles, and complex numbers?
21:12Don't take it easy, man, and make up a story about Nook's bankruptcy, for God's sake!
21:15May God punish you
21:16Honestly, I don't know where to hide my face from you.
21:18Honestly, the topic started with a cucumber ladder.
21:20And then I found myself being pulled away
21:21And I am easily seduced by these things.
21:23But I won't leave you until I answer your second question.
21:26Before I answer your first question
21:27I'll tell you what the relationship is between x and cos for complex numbers.
21:31Just a moment, my dear
21:32Despite the fact that imaginary numbers and trigonometric functions
21:36They appear at first glance
21:37They come from two different worlds.
21:39However, the geometric representation of complex numbers connects them.
21:43This geometric representation gives us a way to express any complex number.
21:48By way of the x and the cosine of his angle
21:51With horizontal X-axis
21:52Of course you don't understand
21:54Look at the complex number in front of you
21:56You will find a right-angled triangle
21:58Wherever a right-angled triangle is found
22:00The presence of sin and cosine was required
22:03Please note, my dear, that in this series
22:04We can calculate the value of angle Vita
22:06Using their x and cosine functions
22:08And their relationship to A and B
22:10Those which represent, for us, the complex number
22:12A Plus IB
22:14Time is running out, my dear.
22:15We know that cosine theta equals A over R
22:18My dear friend, the idea of the triangles
22:19Adjacent to the main road
22:21And that's if we do a little algebra
22:23This leads to the A
22:25R is equal to cosine theta
22:26And by extension, we know that the x-theta
22:29B is equal to R
22:31This will lead to B
22:32R is equal to sin-theta
22:34permission
22:35A plus IB
22:36R is equal to cosine theta
22:38Plus IR sin theta
22:40This relationship, my dear, is correct.
22:42And walk it with any complex number in the other
22:44Block, my dear
22:45This is a relationship more important than anyone else's relationship with anyone else.
22:48More important than a relationship with the family, Abu Hamad
22:49a judge
22:50This is a relationship more important than a relationship with one's family.
22:52Because this relationship, as I told you
22:53It connects complex numbers
22:55Sin and Kosin, sir
22:57Huh?
22:59I'm just kidding, my dear.
23:00Relationship, my dear, has no real-world importance.
23:02But it is important in the sports world
23:04This important relationship, despite its simplicity
23:05She is the one who will ultimately lead us.
23:08For one of the most important and beautiful
23:10Equations in the world of mathematics
23:12Euler's equation
23:13This is the equation through which we can
23:14Transforming the x and cosine functions
23:16To harsh functions
23:18Earn and win using complex numbers
23:20As a mediator, Euler's equation states
23:22The e qs i theta
23:23cosine theta plus i sin theta
23:26Mohamed Di Mahnash doesn't understand anything
23:27And he saw that, so I went to her and then to other programs.
23:30Dear beautiful viewer
23:31I know it's a difficult equation.
23:31I don't really understand its importance right now.
23:34But my dear, are you trying to make fun of me?
23:35I'm coming to you with the words
23:36This is not the time for Euler's equation.
23:37Now it's time for me to answer your second question.
23:39Which was your first question in life
23:41See how I remembered?
23:42You asked me why I might be interested in sin or cosine?
23:44I'll tell you, my dear, why you might care
23:45But did you care?
23:47My dear, bring your Eid greetings and come look with me
23:50I want to show you some shapes
23:51These are simplified forms
23:52Why a constellation of some natural and artificial phenomena?
23:55The Duke, the voice, the sea, the duck
23:58Don't you notice, my dear?
23:59And you see these things as something common
24:00There are many corners, my dear
24:01Which ones exist in the universe?
24:02We can express it as waves
24:04Wave Like
24:05And you know that any wave
24:06No matter how strange its shape may be
24:08We can express it
24:09as the sum of an infinite number
24:11Between simple x-waves and cosine waves
24:13The ones that are stacked on top of each other
24:14This was proven by the great mathematician
24:17Fouriar
24:17They are quarrelsome, Uncle Fouriar
24:18Habib Umm Ahmad
24:20What I want to know to you
24:20It is a huge number of natural phenomena in the universe
24:23Waves in the sea
24:24Wave after wave
24:25The sound you're hearing
24:26Sound waves
24:27By disrupting the air around you
24:29Until this wave arrives and your blood
24:31The light around us
24:32It is waves that travel through a vacuum.
24:34These are natural systems
24:34Protect the universe for her sake.
24:36That's not all.
24:36This even extends to industrial systems.
24:38Which we design ourselves
24:39It contains sign and cosine
24:41For example
24:41Generating electricity using wind turbines
24:43or the High Dam fans
24:45The one that spins with water
24:46Or even the dynamo
24:47What you used to put in your bicycle when you were little
24:48To generate electricity
24:50Your enlightenment is revealed
24:51When the pedal is turned
24:52All of these, my dear, are engineering systems.
24:53It contains circular movements
24:55Wherever circular motions are found
24:57Zain found and Kozain found
24:59That's it, Muhammad, this is my sister
25:00I knew that the universe was full of natural wonders
25:03It can be expressed using sine and cosine.
25:05Ha
25:05And then
25:06So what's the point of complex numbers?
25:09Let me tell you
25:09The Zawaghir and the systems of Di
25:11Describing and analyzing it is usually a relatively complex process.
25:14Her description often relies on description
25:17Rates of change of things relative to each other
25:19Or, in mathematical terms, it depends on
25:22Rates of change of variables relative to each other
25:25Or the differentiation of functions with respect to variables
25:27I'm pulling my hair, I'm pulling my hair, Abu Ahmad!
25:29Why does it need that?
25:31What is the difference between the differential and the pot?
25:32What are we saying?
25:33What is this talk?
25:34This is Arabic, Abu Ahmed, the language we speak.
25:36I take my morale from this coffee pot because it's in the middle of a well.
25:38Because you're sitting in the wrong place
25:39If you are sitting in class and studying the material you have to study
25:42Your blood wasn't at the Atlanteans now
25:43But what can we say?
25:44What should we say?
25:44O Abu Ahmad, thank God, may God bless you
25:46May God bless you in the first episode
25:48She told me that this coffee pot is a relationship
25:51Between two variables, A
25:52One independent variable
25:54It is affected by a dependent variable
25:56correct?
25:56That's right, Abu Ahmed.
25:57correct
25:58Sweet
25:58So what's the difference between the coffee pot and the coffee pot?
25:59The differential of a function is the rate of change of a function.
26:02or rate of change of the dependent variable
26:06For the independent variable
26:08That means we take this dependent variable
26:11We see its rate of change is critical.
26:13Every tradition changes
26:14We know his rate
26:15For example
26:16If you would show us what we are interested in
26:18The dependent variable in it
26:19It is your level of relaxation
26:20The independent variable is the value of the computational
26:22If you are an optimistic person
26:23If he's confused, he'll get a simple increase in blood pressure.
26:25She is very happy
26:26Your joy and happiness, which is the dependent variable.
26:29Why follow him?
26:30The independent variable is confused
26:31So thank God for what he tasted
26:33This is a great taste
26:34I can say that the rate of change in your hourly wage relative to your salary is a large rate.
26:40Or, the difference between your happiness level and your salary is significant.
26:44vice versa
26:45Do you understand the idea?
26:46During Dick, another example
26:47Remember Newton's apple?
26:48This is an example of a natural law, namely gravity.
26:50Which can be summarized as follows:
26:51We say that one of its manifestations
26:53The rate of change in the falling speed of the apple object
26:56On the head of the Newtonian organism
26:58Biswi is 9 and 8 out of 10 for every second on planet Earth
27:01It means your presence is on top of a tower 20 meters high
27:03So, the first thing you look at will be your speed of 0
27:05After the first second, your speed will be 9 or 8 out of 10 meters per second.
27:08After the second second, it will reach 19.6 out of 10 meters per second.
27:11After the third second, it will reach 29.4 meters per second.
27:15And so on and so forth until it hits the ground
27:17So get up from your seat and tell me what you notice.
27:19Don't you notice, my dear, that natural law describes the world through the rate of change of velocity?
27:24Or through the differential of the velocity function
27:27And that's how gravity works, causing many natural and artificial systems.
27:31We estimate that we analyze it based on the differentials of things relative to each other.
27:35This is known in mathematical terms as differential equations.
27:39differential equations
27:41These differential equations are usually complex.
27:43And it is very often dependent on the sine and cosine functions.
27:46Depending on the phenomenon we are studying
27:48Typically, the sine and cosine functions are dealt with without simplification.
27:52Directly like this in the world of differential equations
27:54It would be tiring and eye-straining.
27:56And not just that differentiation and integration are easy
27:58This also means it can transform the more complex multiplication operation into a less complex addition operation.
28:04In a simple, beautiful, and romantic way
28:06Who remains, Abu Ahmed, the magic pot we all wish to reach, so we can describe everything?
28:11Exponential coffee pot
28:12Exponential Function
28:15The year 1748, the esteemed gentleman, the scholar
28:19Euler was able to arrive at an equation
28:21By transforming sine and cosine into an exponential function
28:23Through complex numbers as an intermediary
28:25Do you remember, my dear, the old days?
28:27Time from the beginning of the episode
28:28When I told you that we can use complex numbers as a mediator
28:31A place that deals with cubic equations
28:33Remember, remember, Jazar Najwa
28:34I remember
28:35Oh Abu Ahmed, I miss you, Najwa Hawi
28:36From the moment God willed it, I haven't seen any good days.
28:39In the same way, dear Oller, he made an important discovery.
28:42Simply put, we can use complex numbers as a magic medium.
28:46We convert it to sin and cosine.
28:47Therefore, all waves of rigidity functions have
28:51imaginary priest
28:52E Qs I Sita Btws
28:54Cosine Sita Plus iSign Sita
28:56Second one, Abu Ahmed
28:57He is a fictional priest.
28:58And I understood, and he was on the first floor, when they showed me the next one
29:01And also Oller
29:02How could Oller do something like that?
29:03The man is supposed to be a respected scholar.
29:04And who is it?
29:05Why is this issue escalating for me?
29:07Why is this spoiled, cruel woman causing all this trouble?
29:09Unfortunately, my dear
29:10Answering all these questions in detail
29:12It won't be enough in one episode
29:13Not in the season
29:14Not even on a YouTube program
29:16Her poetry is studied by students in universities.
29:18To understand this
29:19Everyone witnessed this.
29:20Let's divide the country in half
29:21By means of the
29:22The meaning of the imaginary priest
29:23Behind the scenes of Euler's arrival at this equation
29:25I'll leave it for you in a hot link in the sources.
29:27Click the link and you'll find all the information.
29:29As for your question about the letter "Eh"?
29:31And on the nose that the cruel Dalalqsiya made
29:33So, let me answer you now, my friend.
29:35In the areas of Daib and Hamid
29:36Oh God
29:37Khash Al-Basou, what you knew with me
29:38Let's first explain.
29:39What does that mean?
29:40This is one of the most important numbers in the world of mathematics.
29:42Like that, Lay-bye
29:44Its value is equal to 2.718
29:47What is so special about this number?
29:48It is the only number that fulfills the idea that it is a differentiable function.
29:52The function of t with respect to the variable t is equal to the function itself.
29:56Therefore, the integration of the dallah (integrative) is also, by the grace of God, equal to the dallah itself.
30:02Which is E Qas T Fodnk, where are you from, Juha?
30:04It means, my dear, you'll come and miss me and find me
30:06She comes to complete you, she finds you
30:07This is love
30:08This particular magic quality is what makes dealing with the Exponential Dallah so special.
30:12In the world of differential equations, it's a charming, simple, and beautiful way to deal with things.
30:16In addition to the second characteristic that we also verify, the foundations
30:19It is the conversion of the path to the gathering
30:21And you, my dear Akib, when you were young, you studied a long time ago that what is Qs B in what is Qs C
30:25What is equal to sq b plus c?
30:28The foundation remains as it is, and the foundations are now added together.
30:31That means 2 times 2 times 2 times 3 equals 4 times 8 times 32
30:35At the same time, 2 divided by 2 plus 3 is 2 divided by 5, which equals 32.
30:40In one way or another, expansion can convert multiplication into addition.
30:44Which is a much simpler process, similar to complex numbers.
30:47Which we also independently discovered turns multiplication into addition
30:51Goler, my dear, I'm saying that this, folks, is just a coincidence.
30:53There is indeed a relationship between them and each other.
30:56Mohammed, are you aware of what you are saying?
30:59No, you don't understand me. I mean, right now, with what you're saying...
31:01I can speak about cosmic and artificial phenomena.
31:05We did it using differential equations.
31:08Complex based on Chinese and Kuzin waves
31:11And by way of Euler's equation, I try to calculate the ratio between China and the cosine for a short-term solution.
31:17That imaginary story, in your impossible form, has never happened before, before the imaginary number
31:21Therefore, after all the transportation we had to do, this made my life easier for her
31:26Because the short pot has very easy differentiation and converts multiplication to addition
31:30Am I doing it right or not?
31:36That's right, my dear. I hope you understand what you're saying.
31:38The whole long journey was aimed at every killer
31:40You're a jerk, my dear, in the first episode
31:42When I told you at the beginning, that's all
31:43Mathematics allows us to invent intermediate number systems.
31:46It helps us solve real problems in a simpler way
31:49In a world full of systems that contain Chinese and Cusin waves
31:52The relationships between its components include differentiations of needs in relation to its promise.
31:57We can then move our entire system from the world of real numbers to the world of composite numbers.
32:02As an interim step that makes our lives easier
32:04In this step, we convert the sine and cosine into an extrinsic drug with imaginary foundations.
32:09Dealing with it computationally is much easier
32:11And when we finish our accounts completely
32:13We can return again from the world of pharmaceuticals
32:15Which contains imaginative foundations for the realistic, natural, and understandable world of sin and cosin
32:20That which is measurable without any trickery, sorcery, or theft of a choice
32:24Here we find the results we have are accurate.
32:27For example, in our analysis of electrical circuits
32:29From the moment electricity is released from the High Dam
32:31Until you reach your home
32:32We use the vehicle's odometer
32:34To describe the pilot and voltage in the network across space and time
32:37And in some intermediate steps of the calculations
32:39Our electric pilot is actually a virtual pilot.
32:42And this, my dear, is very simple and flawed.
32:45The Journey of the Satisfied
32:47The first thing we were able to accept was that there was a negative option.
32:50And its area square is negative
32:53Look, my dear, where have we gotten to?
32:55We installed an electrical circuit with an imaginary pilot.
32:57This imaginary number is like a superhero
32:59But she's a shy, buoyant superhero
33:01Superhero makes people's lives easier
33:03Without anyone seeing or feeling it.
33:05The superhero Melonch has a measurable physical existence
33:07After that, I, Malik Konta Physics, say
33:09No no
33:10This superhero can manifest and become measurable
33:12Mohammed, this world is practically crazy.
33:14Remove them from the ring quickly, on that Hassania.
33:16Let me tell you that the Schrödinger equation is considered one of the fundamental equations.
33:19In describing a universe where the imaginary number appears clearly and explicitly, and a delegation
33:23You have other scientists who tell you no
33:25Schrödinger's equation can be described in other ways.
33:27Without using imaginary numbers
33:29The superhero is part of the equation to make our lives easier
33:32Not to impose himself on us
33:33Let me tell you, the creative process is still not settled, as you can see.
33:35But ultimately, these numbers, whatever the outcome of the creative decision
33:38Once you understand it, you can't see the world of mathematics in the same way.
33:41In a universe full of magician's gems
33:43These numbers give us a language that we can use to understand and control them.
33:46A language that simplifies the world for us
33:48And that, my dear, is simply the magic of mathematics.
33:50That's it, my dear, finally, or rather, not finally.
33:52Let's look at the previous cases
33:53Let's see what the next cases are.
33:54We'll look at the sources
33:55If we see this, please subscribe to the channel.
33:56Let's look at the channel
33:57And praise be to God, but please, we know you're definitely following her after the explanation and all that.
33:59But there's something in the fifteen religions that I didn't understand.
34:02I'll ask you if you can repeat the entire first step.
34:04Huh?
34:05And I'll focus on you carefully first.
34:06If you could explain the intro
34:08Because he also does not examine the crimes that were mentioned
34:10I would be much more grateful
34:12My dear self, why did they make it so easy?
34:13I'll leave you now, you're below
34:14This is a program
34:15God willing, I will post it.
34:18I present
34:19I'm going
34:20Look for a scholarship
34:21Travel
34:22So now you explain to me the things you've finished and learned in other countries.
34:24Because that's it
34:25I'm tired
34:26I'm tired
34:27I'm honestly exhausted