Hello friends ! If you like this mix please Like & share, sub channel. Thanks you very much !!
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Arrimadas exige a Sánchez que defienda a "millones de catalanes atacados por el separatismo" - Duration: 1:30. For more infomation >> Arrimadas exige a Sánchez que defienda a "millones de catalanes atacados por el separatismo" - Duration: 1:30.-------------------------------------------
Installer aspirateur sans fil polyvalent lidl silvercrest cyclonique SHAZ 22.2v A1 - Duration: 3:08.Caution: The installation may vary depending on the product version. My version: SHAZ 22.2 A1
Support installation - cyclonic vacuum cleaner LIDL
hello, I'm going to install the support of the LIDL vacuum cleaner (SILVERCREST SHAZ 22.2 A1)
I will use the drill guide that is included
as well as the included screws and plugs
I will fix in plaster (BA13), wall hollow.on will use dowels adapted to its wall
these dowels are rather for a solid wall, I do not like, but I will test
if you use molly dowels, (steel dowels), the head of the screw should be about 1 cm (check before installation)
I will use a 6 mm wood drill bit (mm)
a level and check for the presence of an electrical outlet
before drilling your plasterboard wall
before I break, I always do 2 checks
there must be no electric wire (I control with a materials detector)
there should not be steel bars (which support the plaster), I control with the detector
we can also put a magnet, if it is attracted on the wall, it is that there is a bar in steel, it will be necessary to pierce another
installation
I will put the bracket here (I have an electrical outlet)
I position the drilling guide, I upgrade, I make small holes
I pierce
put the ankle, and knock with a hammer
put the two screws
the screws go over, it's normal
we put the support, then I can put the vacuum cleaner
when the vacuum is not positioned, the support moves slightly, it does not move when there is the vacuum, do not worry it's normal
1 year later
we are 1 year later (after installation)
ankles did not move
on BA13 (plasterboard), the anchors included provide sufficient strength
check the anchors from time to time (if it moves you will change immediately)
if you have questions do not hesitate to ask them in comment of this video
thank you for watching this video, see you soon
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Cristina Cordula, « une terrible rumeur » - Duration: 1:27. For more infomation >> Cristina Cordula, « une terrible rumeur » - Duration: 1:27.-------------------------------------------
Matrix inverses make sense: a simple condition for when the inverse exists - Duration: 17:31.In a linear algebra course, Matrix inverses are something that get a lot of attention.
There are all these formulas thrown at you like for the determinants, the inverses of
a 2x2 matrices, cramner's rule etc etc.
These formulas are great, but I think they can obscure the very simple idea behind what
an inverse actually is, and when it exists. You've probably been taught that the inverse
exists if and only if the determinant isn't 0. But most students have no idea what the
determinant has to do with anything let alone inverses. I'm going to teach a completely
different condition for when an inverse exists, that I think is much more intuitive.
But before all that:
Do you know what a linear transform is? If not, go watch my last video because none of
this one is going to make sense at all otherwise. In fact, if you want to brush up on vectors
and bases, you can watch the video before that too.
Even though this video is about matrix inverses, I'm not going to define what an inverse
is straight away. Instead I'm going to define something called a left inverse because I
think understanding these first will give you a better intuition for inverses themselves.
Imagine you have a bunch of vectors in some vector space, in this case in 2d, and you
apply some Matrix M on them, here it rotates them. Then you think you'd like to undo
what you just did and get the vectors back to where they were. In this example, what
transformation undoes the rotation? Here, you'd just rotate everything back by the
same angle. That's all a left inverse is. It's the matrix that undoes the original
matrix, so it's like you've done nothing at all. If I wanted to write this as an equation,
it'd say, if you do M, then you do L , that's the same as if you did nothing. This thing
is called the identity matrix and it just means the transformation where you do nothing.
This thing is called the left inverse for… hopefully obvious reasons. So now we know,
the left inverse is a matrix that undoes the original matrix's action.
The annoying thing about inverses is really their name. It sounds like the *inverse* should
be the thing that undoes a matrix. Instead the definition of M inverse is:
M inverse undoes M
AND
M undoes M inverse.
Going back to our example: if you do M first and then L, that's the identity. But it's
also true that If you did L first, then M, you'd also get the identity. So since L
undoes M and is undone by M, L and M are inverses of each other. You might wonder, is the left
inverse always also the inverse like this? No, obviously not, or they wouldn't have
different names, would they?
Before we move on, let me ask you a question to check you've understood this so far.
Imagine you have a matrix like this. What it does is that it takes a 3D vector, and
jumbles up the components. Does this matrix have a left inverse? As in, can you undo this?
Then if it does have a left inverse, figure out if it has an inverse as well. Put you
answer in the poll in the corner, and pause the video now to think about it.
The answer is that it does have a left inverse. It's the one that takes a vector like this
and rearranges the components like this. It's clear that this is a left inverse of A since
it undoes it like so. But A is also a left inverse of it, as you can see, because A undoes
this matrix. So B is the inverse of A.
Now that we know what an inverse is, let's think more about when they exist or don't.
Again, it's going to be more convenient to look at when a left inverse exists first.
Here's another question. This matrix takes a 2d vector a b and sends it to a 0. Does
this matrix have a left inverse? If so, figure out what it is.
Again put your answer in the poll in the corner and pause now to think about it.
Notice something about this matrix. It takes the vector a b to a 0, but it also takes a
d to a 0 as well. This… is a bad thing, and it's because of this that the left inverse
doesn't exist.
Why? Well, say you have some vector v and M takes it to w. The left inverse of M, if
it exists, knows M and what w is, but it doesn't know what vector produced w. Just using the
information given, it needs to find what the original vector was, so that it can take w
back to where it came from. However. If there's some other vector u that also goes to w, the
left inverse has a problem. it can't just look at w and know for sure it whether it
came from v or from u because there isn't enough information. This means the left inverse
*can't* take w back to where it came from, so… it doesn't exist.
This thing here, where two different vectors v and u get mapped to the same vector, i.e
M(u)=M(v), is what I'll call M losing information. What we've just seen is that if M loses
information it doesn't have a left inverse. But what about the other way around? If M
doesn't lose information, does this mean the left inverse exists? Well, yes actually.
Because all the left inverse has to do to undo M is find the vector w came from. Since
there's only one vector v it could be, there is an inverse that takes w and returns v.
This doesn't mean it's easy to find out what v is necessarily, but looking at w does
in principle give you enough information to undo M and return v.
So a matrix has a left inverse if and only if it doesn't lose information.
Let's look at another example to understand this point better. Imagine I have a matrix
from 2d to 3d and what it does is, it rotates any 2D vector into 3D space like this. Does
this matrix have a left inverse? Pause the video to think about it.
The answer is, it does have a left inverse because A doesn't lose information. If you
want to take vectors like this back, you know where they came from so all you have to do
is rotate the plane back. Let B be a matrix that takes 3D vectors to 2D that rotates this
plane back. It is a left inverse of A.
Now, is B the inverse of A? In other words, Is A B's left inverse? Pause the video and
think about it.
The answer is, no, B has no left inverse
We'll show that by showing B loses information. First, pick any 3D vector that's not on
this plane. B has to send it to some 2D vector, so let's just say here. But there's another
3D vector that's already sent there. It's this vector u that's on the plane. So B(u)
is equal to B(v). Hence B loses information and doesn't have a left inverse.
There's an important lesson to be drawn from this example. You might have wondered
before why we only ever talk about the inverses of a square matrices. What's so special
about transformations from n dimensions to n dimensions? The reason is, non square matrices,
i.e ones from n dimension to m dimensions never have an inverse. The issue is, if you
have any transformation going from a bigger space to a smaller space, like B which went
from 3d to 2d, you have to lose information. These types of matrices always send some vectors
to the same place.
If you have a matrix from a smaller to a bigger dimension, it's possible that it has a left
inverse- like A did in our example. But it's left inverse goes from big to small, like
B, and so it can't be undone. Hence, even though some nonsquare matrices have left inverses,
they never have an inverse.
Square matrices don't have these issues at all though. Actually, for square matrices,
everything massively simplifies because the left inverse is always equal to the inverse.
So if a square matrix has a left inverse, it automatically has an inverse.
I am not going to prove this fact. You are, for homework. But I will give you an illustrative
example in a little to help you understand why it's true.
Once you've proved it, you'll see that for a square matrix A, if B undoes A, then
A undoes B as well. This gives us an easy criteria for checking whether A has an inverse
or not, because it's the same criteria we used to check whether A has a left inverse:
Just ask, does A lose information? If yes… then sorry, A inverse doesn't exist.
If no, then A inverse does exist. But you might be thinking, ok, so what? How
is this easy to check? Wouldn't you have to compute the outcome for every single vector
that goes into M and compare the results to every other vector's and see if any of them
match? Isn't that beyond tedious?
Thankfully there is an easy way to check this condition. All you need to do is figure out
which vectors get mapped to 0. For any linear map, 0 is always mapped to 0, but all you
need to check is if there's any *other* vector mapped to 0 or not, and that's enough
to decide if M loses information. Why would that be enough?
Imagine two vectors u and v do both go to w, so M loses information. Then the vector
u-v, by linearity, gets mapped to 0. So whenever you have 2 vectors going to the same thing
like this, you always get at least 2 vectors ending up at 0. So you can check whether a
matrix loses information by checking how many things go to zero. In other words, figure
out how many vectors v satisfy the equation Mv=0. This is part of why you spend so much
time in linear algebra courses studying the solutions to equations like this. You can
solve for v by a) using subsitution b) using Gaussian elimination or (c) by getting your
computer to do the Gaussian elimination for you.
But the point is, you can find out if M loses information easily enough this way, and that
tells you whether M has an inverse.
Let me summarise quickly what we learnt in this video:
1. A left inverse of a matrix is matrix that undoes it.
2. That the left inverse exists if you don't lose information: i.e, if the matrix never
sends two different vectors to the same vector. 3. The inverse is the matrix that both undoes
the matrix, and is undone by the matrix 4. Nonsquare matrices never have inverses.
5. For a square matrix, the left inverse is equal to the inverse
6. You only need to check if the square matrix loses information or not to decide if it has
an inverse. 7. You can check whether the matrix loses
information by looking at how many different vectors get mapped to 0. This you can do by
solving the equation Mv=0.
And so that's it. But before you run off, here's some homework for you. The first
one is multiple choice. Which of these is the inverse of this matrix? I know that you
can just check each of these to see which works, but I'd rather you did it another
way. And for crying out loud, don't use the formula for the inverse. Once you've
figured it out, put your answer in the poll.
Question 2. Prove that for a square matrix M inverse is equal to the left inverse of
M. There's lots of hints in the description for this, but first I want you to try question
3 because it's a very illustrative example.
Question 3. Suppose we have the matrix from before. If we have a left inverse for it,
L, then we know L undoes M. We also know M takes the basis vectors to these vectors,
so L must take them back. First show that these two new vectors form a basis.
Then, to show that M undoes L, we need to show that for any vector v, if you apply L
then M, you get v back. Show this by writing v as a linear combination of the basis in
the first part. Hopefully doing this first will help you with the proof in question 2.
As you will have noticed, the first question was from Brilliant.org. What I like about
questions from there it is that they don't just give you a formula and then ask questions
where you plug numbers into that formula. That's what I found a lot of highschool
and early university textbooks, and it's annoying because that doesn't teach you
anything. Instead, they get you to do examples like this one, and understand the principle
yourself, then in the next few question, lead you to finding the general solution on your
own.
As you can see, this is exactly how I like to learn new maths- before reading the proof
of anything I'll do lots and lots of simple examples first and try and understand the
underlying reasoning, so I love how Brilliant allows you to do this in a structured way.
They have loads of different maths and science course on their website, which you can access
completely with a monthly or yearly membership. If you follow the link in the description
or on screen, you can get 20% off an annual subscription.
Alright, so that's all for this video, I hope you enjoyed it. The next one is about
changing basis, which is key to understanding loads of Quantum mechanics, including the
Heisenberg uncertainty principle. It should be up here in 2 weeks, as long as I don't
decide I hate the just after uploading it like I did for the original version of this
one. Anyway, subscribe if you'd like to be notified when my next one is up. Thanks
for watching!
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Nguyên nhân người thân không được vào phòng đẻ kể cả Ông Chồng - Duration: 1:51. For more infomation >> Nguyên nhân người thân không được vào phòng đẻ kể cả Ông Chồng - Duration: 1:51.-------------------------------------------
Le père de Laeticia, révélant un message secret -[Nouvelles 24h] - Duration: 2:56. For more infomation >> Le père de Laeticia, révélant un message secret -[Nouvelles 24h] - Duration: 2:56.-------------------------------------------
【MMD】Change 【+Motion DL】|| ORIGINAL (Cover) - Duration: 1:06.Mmm, baby I don't understand this..
You're changing-
I can't stand it.
My heart can't take this damage.
And the way I feel, can't stand it.
Oh, baby I don't understand this.
You're changing I can't stand it.
My heart can't take this-
..damage.
And the way I feel, can't stand it.
Oh, baby I don't understand this.
Boy, you're making it hard for me.
Boy, you're making it hard for me..
Boy you're making it hard for me..
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Baby Shark Sing Head Shoulders Knees & Toes Nursery Rhymes for Children with Baby Songs! - Duration: 2:26.hi everyone! I'm Stevie! I'm Katrin! and we're here to do heads shoulders knees
and toes with you in a swim along version! you ready Katrin? yep!
Haed, shoulders, knees and toes knees and toes
Head and shoulders knees and toes Knees and toes
Ad eyes and ears And mouth and nose
Head and shoulders knees and toes Knees and toes
Head and shoulders knees and toes Knees and toes
Head and shoulders knees and toes Knees and toes
Ad eyes and ears And mouth and nose
Head and shoulders knees and toes Knees and toes
Head and shoulders knees and toes Knees and toes
Head and shoulders knees and toes Knees and toes
Ad eyes and ears And mouth and nose
Head and shoulders knees and toes Knees and toes
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Jean Roch partage un cliché souvenir de Johnny Hallyday à Saint-Tropez - Duration: 1:41. For more infomation >> Jean Roch partage un cliché souvenir de Johnny Hallyday à Saint-Tropez - Duration: 1:41.-------------------------------------------
Pixelzone Brasil Vs I - Duration: 0:45. For more infomation >> Pixelzone Brasil Vs I - Duration: 0:45.-------------------------------------------
Fiesta Latina 2018 - Wisin, J Balvin, Daddy Yankee, Maluma, Anitta - Reggaeton Mix 2018 - Duration: 1:07:16.Hello friends ! If you like this mix please Like & share, sub channel. Thanks you very much !!
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miter saw station for Evolution Rage 3 - Duration: 15:52.Google Subtitles
Hi Everyone I'm Paulo Costa,
Welcome to my channel. #A Minha Bancada
I received this saw for my Channel
Now I'll have to find a place to put it
So today I'm going to arrange a cutting station to put this saw
The place where I will create the cutting station, will be in this space
I will have to modify this whole space,
so let's get going
I started by removing all the objects,
I cleaned the entire area
I'm going to put an OSB board on the wall
I made some cutouts for the board to pass between the shelf supports
I fixed to the wall with screws and dowels
now I'm going to cut the wood to make the benches
the wood that I will use is 7cm by 4.5cm pine
Here I am already using my new saw
is spectacular, if you want to see the unboxing has the link above
I will prepare the first structure, one of the four sides of the bench
I did the drilling with this jig for inclined holes
I'm fixing with screws
I used UHU wood glue
to create a more solid and firm structure
I already prepared the four sides
Now I'll cut the platters
The first one is already concluded
only took the platters from the back,
because underneath is to put my bench saw
then I will lock and adjust the measurements with the top
I cut the wood to the top,
it was wood that I recycled
it's pine, docking
I'm going to fix the top with screws
I pre-drilled with a reamer
for the screw head to be embedded in the wood
this video has the support of (www.ferramentas.pt)
the largest online store in europe, from tools to professionals
if you do not know this online store, I will leave the link in the description to visit
I hope you are enjoying this project.
if you do not subscribe to the channel yet, subscribe now
Enable notifications to receive projects firsthand
let's continue with this project
Now I will put the base to put the saw
this base will be lower
so that the top of the base of the saw is at the same height as the benches
I fixed the base first with 4 clamps
I set the saw, and now just adjust the base
put a stick with the right cheek, pick up the two tables
and adjusted the base of the saw to the bar
with a level made the final rectification
then it was only fastened with screws
now went to make a box to put around the saw
to aspirate the sawdust
I used the remnants of the OSB board to make the box
I will put the Osb, as missing on the walls, above the bank
I have a problem here, it does not always work as we want
I'll have to make an adjustment so that the saw makes all the positions inside the box
without impeding the smooth running of the saw
The best solution was to make a box to put on each side of the main box
It turned out to be perfect.
I'm going to take advantage of the bottom of this bench to put a top
to then put wood
I'll finish the sawdust collection box
I'll put a front
here i will use a bit of white mdf
I took the mold and cut it.
I made a mold on paper, to cut and adjust to the positions of the saw
I passed the final mold to the MDF
I cut and then I passed sandpaper to Round the edges
I got to the end of another project
I'm super excited about my new cutting station
For My New Saw
Is the Evolution Rage 3
I'm very happy with this saw
it cuts several materials with the same disk
it's a multifunction
if you want to see the unboxing the link is in the description
I have not finished this space yet
still need to put the tools in the panel
will stay for a next video
If you want to follow this video
do not forget to subscribe to the channel
enable notifications to be the first to receive the video
If you liked this project, click the like
Tell me what you think in the comments.
Until next video
-------------------------------------------
Tượng Danh Y Hải Thượng Lãn Ông tại Bệnh Viện 121- Cần Thơ - Duration: 2:32. For more infomation >> Tượng Danh Y Hải Thượng Lãn Ông tại Bệnh Viện 121- Cần Thơ - Duration: 2:32.-------------------------------------------
👍FRANCÉS FÁCIL [NATIVA] - Clase 15: Descripción física, argot ("verlan"), fonética del [e] - Duration: 11:44. For more infomation >> 👍FRANCÉS FÁCIL [NATIVA] - Clase 15: Descripción física, argot ("verlan"), fonética del [e] - Duration: 11:44.-------------------------------------------
K$I vs LOGAN PAU€ - Duration: 0:47.The most hyped cringe you've ever experienced.
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Matrix inverses make sense: a simple condition for when the inverse exists - Duration: 17:31.In a linear algebra course, Matrix inverses are something that get a lot of attention.
There are all these formulas thrown at you like for the determinants, the inverses of
a 2x2 matrices, cramner's rule etc etc.
These formulas are great, but I think they can obscure the very simple idea behind what
an inverse actually is, and when it exists. You've probably been taught that the inverse
exists if and only if the determinant isn't 0. But most students have no idea what the
determinant has to do with anything let alone inverses. I'm going to teach a completely
different condition for when an inverse exists, that I think is much more intuitive.
But before all that:
Do you know what a linear transform is? If not, go watch my last video because none of
this one is going to make sense at all otherwise. In fact, if you want to brush up on vectors
and bases, you can watch the video before that too.
Even though this video is about matrix inverses, I'm not going to define what an inverse
is straight away. Instead I'm going to define something called a left inverse because I
think understanding these first will give you a better intuition for inverses themselves.
Imagine you have a bunch of vectors in some vector space, in this case in 2d, and you
apply some Matrix M on them, here it rotates them. Then you think you'd like to undo
what you just did and get the vectors back to where they were. In this example, what
transformation undoes the rotation? Here, you'd just rotate everything back by the
same angle. That's all a left inverse is. It's the matrix that undoes the original
matrix, so it's like you've done nothing at all. If I wanted to write this as an equation,
it'd say, if you do M, then you do L , that's the same as if you did nothing. This thing
is called the identity matrix and it just means the transformation where you do nothing.
This thing is called the left inverse for… hopefully obvious reasons. So now we know,
the left inverse is a matrix that undoes the original matrix's action.
The annoying thing about inverses is really their name. It sounds like the *inverse* should
be the thing that undoes a matrix. Instead the definition of M inverse is:
M inverse undoes M
AND
M undoes M inverse.
Going back to our example: if you do M first and then L, that's the identity. But it's
also true that If you did L first, then M, you'd also get the identity. So since L
undoes M and is undone by M, L and M are inverses of each other. You might wonder, is the left
inverse always also the inverse like this? No, obviously not, or they wouldn't have
different names, would they?
Before we move on, let me ask you a question to check you've understood this so far.
Imagine you have a matrix like this. What it does is that it takes a 3D vector, and
jumbles up the components. Does this matrix have a left inverse? As in, can you undo this?
Then if it does have a left inverse, figure out if it has an inverse as well. Put you
answer in the poll in the corner, and pause the video now to think about it.
The answer is that it does have a left inverse. It's the one that takes a vector like this
and rearranges the components like this. It's clear that this is a left inverse of A since
it undoes it like so. But A is also a left inverse of it, as you can see, because A undoes
this matrix. So B is the inverse of A.
Now that we know what an inverse is, let's think more about when they exist or don't.
Again, it's going to be more convenient to look at when a left inverse exists first.
Here's another question. This matrix takes a 2d vector a b and sends it to a 0. Does
this matrix have a left inverse? If so, figure out what it is.
Again put your answer in the poll in the corner and pause now to think about it.
Notice something about this matrix. It takes the vector a b to a 0, but it also takes a
d to a 0 as well. This… is a bad thing, and it's because of this that the left inverse
doesn't exist.
Why? Well, say you have some vector v and M takes it to w. The left inverse of M, if
it exists, knows M and what w is, but it doesn't know what vector produced w. Just using the
information given, it needs to find what the original vector was, so that it can take w
back to where it came from. However. If there's some other vector u that also goes to w, the
left inverse has a problem. it can't just look at w and know for sure it whether it
came from v or from u because there isn't enough information. This means the left inverse
*can't* take w back to where it came from, so… it doesn't exist.
This thing here, where two different vectors v and u get mapped to the same vector, i.e
M(u)=M(v), is what I'll call M losing information. What we've just seen is that if M loses
information it doesn't have a left inverse. But what about the other way around? If M
doesn't lose information, does this mean the left inverse exists? Well, yes actually.
Because all the left inverse has to do to undo M is find the vector w came from. Since
there's only one vector v it could be, there is an inverse that takes w and returns v.
This doesn't mean it's easy to find out what v is necessarily, but looking at w does
in principle give you enough information to undo M and return v.
So a matrix has a left inverse if and only if it doesn't lose information.
Let's look at another example to understand this point better. Imagine I have a matrix
from 2d to 3d and what it does is, it rotates any 2D vector into 3D space like this. Does
this matrix have a left inverse? Pause the video to think about it.
The answer is, it does have a left inverse because A doesn't lose information. If you
want to take vectors like this back, you know where they came from so all you have to do
is rotate the plane back. Let B be a matrix that takes 3D vectors to 2D that rotates this
plane back. It is a left inverse of A.
Now, is B the inverse of A? In other words, Is A B's left inverse? Pause the video and
think about it.
The answer is, no, B has no left inverse
We'll show that by showing B loses information. First, pick any 3D vector that's not on
this plane. B has to send it to some 2D vector, so let's just say here. But there's another
3D vector that's already sent there. It's this vector u that's on the plane. So B(u)
is equal to B(v). Hence B loses information and doesn't have a left inverse.
There's an important lesson to be drawn from this example. You might have wondered
before why we only ever talk about the inverses of a square matrices. What's so special
about transformations from n dimensions to n dimensions? The reason is, non square matrices,
i.e ones from n dimension to m dimensions never have an inverse. The issue is, if you
have any transformation going from a bigger space to a smaller space, like B which went
from 3d to 2d, you have to lose information. These types of matrices always send some vectors
to the same place.
If you have a matrix from a smaller to a bigger dimension, it's possible that it has a left
inverse- like A did in our example. But it's left inverse goes from big to small, like
B, and so it can't be undone. Hence, even though some nonsquare matrices have left inverses,
they never have an inverse.
Square matrices don't have these issues at all though. Actually, for square matrices,
everything massively simplifies because the left inverse is always equal to the inverse.
So if a square matrix has a left inverse, it automatically has an inverse.
I am not going to prove this fact. You are, for homework. But I will give you an illustrative
example in a little to help you understand why it's true.
Once you've proved it, you'll see that for a square matrix A, if B undoes A, then
A undoes B as well. This gives us an easy criteria for checking whether A has an inverse
or not, because it's the same criteria we used to check whether A has a left inverse:
Just ask, does A lose information? If yes… then sorry, A inverse doesn't exist.
If no, then A inverse does exist. But you might be thinking, ok, so what? How
is this easy to check? Wouldn't you have to compute the outcome for every single vector
that goes into M and compare the results to every other vector's and see if any of them
match? Isn't that beyond tedious?
Thankfully there is an easy way to check this condition. All you need to do is figure out
which vectors get mapped to 0. For any linear map, 0 is always mapped to 0, but all you
need to check is if there's any *other* vector mapped to 0 or not, and that's enough
to decide if M loses information. Why would that be enough?
Imagine two vectors u and v do both go to w, so M loses information. Then the vector
u-v, by linearity, gets mapped to 0. So whenever you have 2 vectors going to the same thing
like this, you always get at least 2 vectors ending up at 0. So you can check whether a
matrix loses information by checking how many things go to zero. In other words, figure
out how many vectors v satisfy the equation Mv=0. This is part of why you spend so much
time in linear algebra courses studying the solutions to equations like this. You can
solve for v by a) using subsitution b) using Gaussian elimination or (c) by getting your
computer to do the Gaussian elimination for you.
But the point is, you can find out if M loses information easily enough this way, and that
tells you whether M has an inverse.
Let me summarise quickly what we learnt in this video:
1. A left inverse of a matrix is matrix that undoes it.
2. That the left inverse exists if you don't lose information: i.e, if the matrix never
sends two different vectors to the same vector. 3. The inverse is the matrix that both undoes
the matrix, and is undone by the matrix 4. Nonsquare matrices never have inverses.
5. For a square matrix, the left inverse is equal to the inverse
6. You only need to check if the square matrix loses information or not to decide if it has
an inverse. 7. You can check whether the matrix loses
information by looking at how many different vectors get mapped to 0. This you can do by
solving the equation Mv=0.
And so that's it. But before you run off, here's some homework for you. The first
one is multiple choice. Which of these is the inverse of this matrix? I know that you
can just check each of these to see which works, but I'd rather you did it another
way. And for crying out loud, don't use the formula for the inverse. Once you've
figured it out, put your answer in the poll.
Question 2. Prove that for a square matrix M inverse is equal to the left inverse of
M. There's lots of hints in the description for this, but first I want you to try question
3 because it's a very illustrative example.
Question 3. Suppose we have the matrix from before. If we have a left inverse for it,
L, then we know L undoes M. We also know M takes the basis vectors to these vectors,
so L must take them back. First show that these two new vectors form a basis.
Then, to show that M undoes L, we need to show that for any vector v, if you apply L
then M, you get v back. Show this by writing v as a linear combination of the basis in
the first part. Hopefully doing this first will help you with the proof in question 2.
As you will have noticed, the first question was from Brilliant.org. What I like about
questions from there it is that they don't just give you a formula and then ask questions
where you plug numbers into that formula. That's what I found a lot of highschool
and early university textbooks, and it's annoying because that doesn't teach you
anything. Instead, they get you to do examples like this one, and understand the principle
yourself, then in the next few question, lead you to finding the general solution on your
own.
As you can see, this is exactly how I like to learn new maths- before reading the proof
of anything I'll do lots and lots of simple examples first and try and understand the
underlying reasoning, so I love how Brilliant allows you to do this in a structured way.
They have loads of different maths and science course on their website, which you can access
completely with a monthly or yearly membership. If you follow the link in the description
or on screen, you can get 20% off an annual subscription.
Alright, so that's all for this video, I hope you enjoyed it. The next one is about
changing basis, which is key to understanding loads of Quantum mechanics, including the
Heisenberg uncertainty principle. It should be up here in 2 weeks, as long as I don't
decide I hate the just after uploading it like I did for the original version of this
one. Anyway, subscribe if you'd like to be notified when my next one is up. Thanks
for watching!
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지금 당신의 항문이 간지럽다면 이 증상을 의심하라. || 유용한정보 - Duration: 5:53. For more infomation >> 지금 당신의 항문이 간지럽다면 이 증상을 의심하라. || 유용한정보 - Duration: 5:53.-------------------------------------------
Learn Colors with cars & Train ! Funny Finger Family Nursery Rhymes Songs ! 4k #Toys for kids videos - Duration: 7:18.was white
very went
the butterfly by the buttermilk shoo fly shoo fly to the buttermilk shoo fly shoo
my Lou my darling
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Mod Guide Nakroth Skin Full 100% Original Effect in Vietnamese - Duration: 11:02.hello
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Passeggiata choc: cammina tranquillo in campagna poi il disastro. Muore all'istante - Duration: 3:13. For more infomation >> Passeggiata choc: cammina tranquillo in campagna poi il disastro. Muore all'istante - Duration: 3:13.-------------------------------------------
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K$I vs LOGAN PAU€ - Duration: 0:47.The most hyped cringe you've ever experienced.
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180826 (G)I-DLE (여자)아이들 Special Event - 스페셜 이벤트 - Duration: 11:44.180826 (G)I-DLE (여자)아이들 Special Event - 스페셜 이벤트
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一口氣飛幾千公里,此戰機讓巴鐵愛不釋手 - Duration: 5:51. For more infomation >> 一口氣飛幾千公里,此戰機讓巴鐵愛不釋手 - Duration: 5:51.-------------------------------------------
The Wrong Photo Spot! | Photography Vlog - Duration: 12:08.good afternoon mr. Morten good afternoon
I liked Morten when I found out that he wanted to stay in a tent in Crete I
liked him even more because he just brought me Freddo cappuccino
In this heat it's stupid with the tent
if you were here in a tent you would be dying of
heat every night anyways we're here Jodie's with us and we're going on a
night adventure and I guess that made it sound more dramatic than it is we're
just going on an overnight road trip to hell yeah we did remember the Chargers
this time right hopefully there's chargers in the bag we're going to hand
yet we driven three no almost three hours past Chania and basically to the
end of Crete the opposite side of Crete and we are totally on a different side
of the island and it is beautiful but I'm a little bit concerned about this
location just because this is probably the most instagrammed Beach on all of
Crete and every time I've seen images of it it's just packed with people so I'm
assuming it's gonna be busy that always makes it a challenge to photograph and
yeah I guess we got another like 15 minutes down this gravel road to get
there
this Beach better be beautiful because it is a zoo it's a freakin Zoo any time
you check out best beaches it shows up so there's a reason why it's basically
just swamped with cars hundreds of cars on this road down it should be
beautiful at least in the hope is that yeah when sunset happens it'll it'll
quiet down a little bit yeah I guess the goal for this shoot is to try to maybe
find something unique to shoot you see the same photo over and over again from
this location I'd like to find something a little bit different than the classic
shot so yeah well let's head down to the beach
wherever the car park still haven't made our way down to the beach
Morten's made a new friend look he liked it to be scratched behind the years
where he can treat himself
so a voice say this I should mention I did do my research I found her location
and then I thought this was the location but this was one of my other locations
and the location I thought we were about to shoot it needs backlight for it to
work this location it doesn't work with backlight and yeah that's exactly what
we have straight on backlight so I'm not sure this is gonna work
but I guess we're here so we might as well try to take some pictures anyway
this is why I love going out with other photographers it just gives you another
another mind another brain to bounce up against we were a little bit frustrated
because we came to the wrong location in the wrong light and it's the wrong photo
and so we stopped back that way just a little bit to have a bit of a powwow a
little bit of a talk trying to figure out you know how we're gonna do this
shot what we're gonna do we're gonna change locations are we gonna try
something totally different are we gonna hike up one of these peaks to try to
find a different angle and Morten just came up with the idea you know normally
when you go to a beach or the coast you run down to the coast and you just shoot
out towards sea but actually a great idea would be to go out into the sea and
shoot back into these beautiful mountains and that way the light at
sunset will light up all these peaks and give us maybe alpenglow or some color
and it should come out absolutely beautiful
we've gone from frustrated to extremely excited in a matter of minutes
like the second we landed on the beach Morten abandoned us and he just went for
a full-on swim he's like a hundred and fifty meters out to sea we do have some
time so I think we're probably going to relax on the beach a little bit and then
wait until they Sun lights rate on the horizon to kiss these mountains these
peaks back here lots of foreground to work with it might
be a little bit risky with the photo gear getting in about waist or chest high and
then finding one of these rocks as a foreground for all of this but this
place is absolutely beautiful you can tell why so many people come down here
guys just a quick cut away from the vlog to mention the music in this video is
from Sid from liberal music uplinked as you tube below I've been trying to find
music and no matter what music I put in the vlogs you guys complain so I decided
to use my music using for good so I stayed reached out to me from liberal
music and yeah this is his song
and all your friends why we used to say why
I'm sorry but this is definitely gonna be shaky because I basically ditched
everything I've ditched my clothes I ditch my 200d I ditch the gimbal I have
my tripod I have filters and I'm just basically almost waist-deep out in the
sea to get the photo this is people ask me all the time what the difference is
between a pro and an amateur or a hobbyist and quite often the difference
is this simple it's being willing to get into the sea to get a photo that you
know is going to be better than a shot would be from on the beach so I'm gonna
walk up to this location I was wandering around through the water for like 20
minutes looking for compositions think I found something that's really cool so
let's set up and shoot it
I'm gonna talk about this from behind the camera but you can see there's all
this rock under the water and I think with a polarizer I'll be able to cut
through this glare on the top and just show that in the crystal clear water and
then this almost works like a leading line up to those peaks way off in the
background up there I think this is going to be really cool okay so I just
want to talk composition quick because I've been struggling I came out and
location scouting earlier the lights changing really fast you can probably
see it's right on the horizon now the Sun is beautiful contrast in the rock
and I'm struggling I'm jumping between two sides here on one side we have this
underground I don't know underground rock may be old
dead coral even that looks interesting and then we've got some other stuff here
and both look okay neither looks great and as I've been kind of going back and
forth between them I decided to just stop right in the middle of them and use
both of them and I'm actually not using all of each of them I'm kind of using
edges of each of them to work as a natural leading line kind of like a
natural canyon straight into this peak the lights not cooperating that much
because there's some haze on the horizon but it does look nice it is coming out
quite well I've got f11 30 seconds the 30 seconds is just
smoothing out the water totally and then a polarizer to just cut through the
water and make this water look as clear as it actually is okay so I'm back on
dry land I'm clothed again as is the girl that decided to walk into my frame
totally unclothed I had the shot lined up I'd been waiting for the light for
ages and this girl just walked right into my frame topless and stood there it
was like uncanny the whole beach is totally empty except for us and she just
walked into my frame and stood there topless and you know you're a
photographer you know that you love photography when a girl walks up to you
topless and you're upset about it but the truth is the light wasn't great
anyway just because there was a ton of haze on the horizon so we didn't get
that really good alpenglow on these Peaks it looked nice I'm happy with the
composition I'm happy that we stuck it out and we came down here and we got
some shots and yeah in the end I'm happy
so we're in Chania we're in the old port of Chania and it is so beautiful and our
room here must have the coolest location of any place in hanaye we're right on
top of the old harbour the pedestrian I guess area is everywhere around us but
the main strip here with other restaurants and bars is all right below
us this town is so cool lots of little alleyways it's all
pedestrian in the old town which I love and I didn't really show you guys
because if we're just we're exhausted the Sun just wears you down so we're
just so tired we just went out smashed some food back and are calling it a
night but tomorrow morning I'm going to get up here I think Morten's gonna get
up here at sunrise as well shoot some stuff in the old port because it is just
really really beautiful and then maybe I'll show you some of these alleyways
and try some street photography or something like that early in the morning
as well as for today it didn't go the way we were thinking mostly because it
was a different location than I thought we were going to yeah we stretched
ourselves out a little bit because we thought it was so busy and it was really
really busy there for a bit and then on top of it it was stressed because the
light was all wrong for what I thought I had planned but after we kind of sat
down thought about things I've got the help of Morten just to get a fresh set
of eyes on everything came up with a plan and it all just came out really
well I think and yeah it was cool because that place is so so so busy it's
just crazy busy and then if we had it all to ourselves at sunset aside from
the naked girl I think like we it was really incredible that we had that place
all to ourselves it's just such an incredible spot and yeah I guess I'm
going to leave it there tomorrow we'll be back again with some more excitement
and hopefully less talking because I want to show you grease rather than talk
about it so yeah I guess that's it I'll see you guys tomorrow peace
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Kate, svelato il suo segreto numero uno: come fa a portare i tacchi senza soffrire | Wind Zuiden - Duration: 3:14. For more infomation >> Kate, svelato il suo segreto numero uno: come fa a portare i tacchi senza soffrire | Wind Zuiden - Duration: 3:14.-------------------------------------------
How Dragon Sound Effects Are Made - Duration: 4:11.Most of us know
what a dragon sounds like,
but they don't actually exist.
And none can stop me!
So, how does Hollywood know
how to make them sound?
Dracarys!
Just like visual artists, sound designers
take inspiration from the world around them.
The sounds for creatures like dragons, dinosaurs,
and even Chewbacca are based on real-world animals.
A sound designer may use sounds from lions,
elephants, cats, and even tortoises
to create the sound for just one dragon.
They'll layer sounds together to create the sound
of a non-existent creature.
So, my dogs are in the second episode
of season five.
There's a scene that's very intimate
and you hear these like beautiful little nasal whistles.
Okay, that was my dog, Angel.
She's in a lot of Drogon's stuff
and obviously in the wolves.
So, I took that sound and put it in there.
Paula Fairfield is a sound designer
for "Game of Thrones."
Over the last five seasons, Paula has carefully crafted
the sounds of Drogon, Rhaegal, and Viserion.
She even used the vocal screams of fans
to create the sound generated by Viserion's icy breath
in the season seven finale.
The final sound design
of a scene is complex.
It masks the individual sound effects so the viewer
can't identify the sources.
But, we can build our own simplified version
of a dragon's sound.
Combine some alligator,
a little elephant,
horse,
add a pig
and you've got the sound of a dragon.
But, these are complex creatures.
Dragons do more
than just roar and breathe fire.
Sound designers also use sound to craft a performance
for the dragon.
Just like Daenerys, Drogon needs to act and perform.
Sound designers take emotional cues from animals
to influence the sounds they create.
I was really proud of the fact
that you can always hear from the time he was,
you know, a toddler to now you can hear
the essence of him in his voice.
You recognize him as Drogon.
And I see them as like your puppy dog.
I mean, we have grown up with these puppy dragons
in our world, right?
And, I think that's why there is so much love for them.
I've tried to bring my love of that into the show.
Each dragon is unique and sound designers
are always trying something new.
In "The Hobbit," director Peter Jackson
used Benedict Cumberbatch's original performance
as Smaug to influence the sound design of the dragon.
Many of the pauses, hisses, and vocal affectations
came from Cumberbatch.
So, tell me, thief,
how do you choose to die?
These details help make Smaug
incredibly impactful and memorable.
And, in the "How to Train Your Dragon" series,
sound designer Randy Thom used different types of sounds
for each species of dragon
giving each type of creature their own unique sound.
Dragons and other fantastical creatures
add a larger-than-life element to stories.
The most memorable dragons leave space for the sound
to have an emotional effect on the viewer.
Without the incredible sound design,
"Game of Thrones" and "How To Train Your Dragon"
may not be as memorable.
They're beautiful aren't they?
Wasn't the word I was thinking of,
but,
but yes, they are.
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ME SPEAKING DUTCH! 🇳🇱| With Subtitles! - Duration: 8:28.Hi everyone!
Okay this feels super weird to talk in Dutch
because I always speak English in my videos
so this feels really strange!
But I suddenly thought: Let's make a video all in Dutch!
Because...... HA! I wanted to speak English again!
But, I think that many of you know that I am Dutch
I live in the Netherlands and I was born and raised here
And I thought "let's just make a video in Dutch
and let's just talk about The Netherlands!
So in this video I'm just going to talk about the Netherlands and what it's like to live here!
And I made a few categories, so let's get started!
Okay, the first category is... the people!
We Dutch people are all very tolerant
Generally, we all accept everyone
And there also live a lot of foreign people in The Netherlands.
They come from all over the world, so it's always fun to see people with so many different nationalities.
And something I'm very proud of is that the Netherlands was the first country to legalise gay marriage!
So of course that's something to be very proud of
and it's something that should happen all around the world!
We Dutchies are also people that always say what's on our mind.
and we're not afraid to "open our mouths"
as we'd like to call it haha.
Although, if we're on our way to work using public transport
then we're not the kind of people that are going to talk to everyone.
So, in these moments we're kind of "to ourselves".
We Dutchies are obsessed with bikes!
And bikes... everyone has at least one!
Myself, I've actually got 2!
One of them is in Rotterdam where I'm going to study and I've also got one at home.
I really believe it's true that there are more bikes than people in The Netherlands.
We can generally cycle everywhere. The infrastructure is really great.
There are many bike lanes, so we can cycle everywhere.
And because the Netherlands is really small, we can also cycle to other cities!
Think about the USA... that's just SO BIG!
You can't just cycle to a different city there, but here in The Netherlands you can!
We just really love our bikes and almost everyone has got one!
You learn to ride your bike when you're very young.
With fun little wheels on the side of your bike to make sure you don't fall over.
And then after a while you take them off and then you can cycle by yourself on a cute small bike!
It always looks so cute!
We always learn to ride our bike at a very young age.
Another fun thing about Dutch people is that we celebrate the King's birthday on Kingsday each year!
It really sounds like we all love our king so much and that we're are nationalists
but it's not like that. We just celebrate his birthday to find a good excuse to drink and party all day (haha!)
and to all be together! And everyone always wears orange on that day as well.
And it's just complete madness and so much fun!
It's even better if the weather is nice as well! Everyone always has a day off since it's a National Holiday.
So we're just going to party all day long! There are always a lot of festivals where all the Dutch DJs come.
And that's another Dutch thing! I don't know how, but we've got so many successful DJs!
They're always on the annual top 10 best DJs list.
To name a few examples: DJ Tiesto, Martin Garrix, Armin van Buren, Oliver Heldens.
Who else have we got? We've got so many great DJs!
And it's always so much fun to see that DJs start of small and then they get super popular!
So yeah, I'm quite proud of that! Because well... our DJs are just awesome!
Another Dutch thing is that we swear... a lot!
Also on TV and on the radio... it's just totally allowed and they don't "bleep" anything.
Everyone is just swearing like crazy.
Pretty bad if I think of it... not a great example for the children
But... oh well, it's just allowed. It's always fun to see when we have foreign guests on Dutch talk shows
and sometimes they accidentally curse and they're like: "oops!!! I'm not allowed to curse!"
But well... you are allowed to and we don't really care.
Another fun thing about the language is that we have some words that are just untranslatable.
I use those words so often that it's such a pity that I can't use them when I speak English.
An example is... GEZELLIG. And this word really is the best Dutch word there is.
Imagine that you had a fun night with the girls and your mum asks you how it was
and then you can say: "oh, it was gezellig!"
and... it's just not something that you can translate, because if you say "cosy" in English
that is more like... just cosy and cute.
But... gezellig is just a word that you can't translate and it's such a pity!
And another word is LEKKER. If you were to literally translate it, it would be like: "mmm yummy!"
"the food was delicious!"
But we always use it in so many different ways a well! For example if someone says:
"Oh, I got a day off from work!" Then you can say "Oh, lekker!"
To express that you're really happy that someone got a day off from work.
But... it's just a word that I can't translate to English! Which is such a pity...
I use it sooo often! Also when someone tells me they got a high mark on their exams
Then you say: "ahhh lekker dan!"
You can literally use the word for everything!
Okay that was enough about that, so now a bit about the country itself and what it looks like!
So, as I just said, the country is very small! But we've got almost 17 (not 18!!) million inhabitants.
Which is quite a lot for such a small country.
Because you can literally drive from North to South in 3 hours!
And you're in all the big cities in no time!
So you can "lekker" easily get everywhere....
Did you hear it! I said "lekker!"
So you can get everywhere very fast and very easy!
For example, I live close to Rotterdam, which is quite a big city.
and I can go to Rotterdam, Amsterdam, The Hague, Delft, Leiden, which are all fun Dutch cities
and I can get everywhere from within 30 to 60 minutes!
So it's just really nice that The Netherlands is so "lekker" small.
And The Netherlands is also way below sea level, so if we didn't have levees or dunes
then a big part of the country would be flooded! So we've got great water management.
So basically engineers who design and build the levees.
So, if we didn't have that then my entire house would be completely flooded!
Okay and then for the last category... food!
My favourite! Although... not really the Dutch food...
We've got a couple of really nice dishes, but generally, the Dutch food is not my favourite.
Something that's really Dutch when it comes to dinner is STAMPPOT
And Stamppot is basically just potatoes and vegetables mashed together and then you've got a nice... "mush".
and... yeah well, we like that. And then we add gravy and a sausage or some meat.
And that's just super Dutch! "Lekker" easy to eat with just a fork, so you don't have to cut a lot
just mash it all together and well... stamppot!
It's a typical dish to eat during Winter, because it's very filling and it's nice and warm.
But it's really not my favourite food.
But something that is really delicious are... STROOPWAFELS!
I love seeing that they're getting so popular around the world.
I even saw them in the USA! But they're basically waffles filled with "stroop". A sort of caramel.
and... ahhh they're so good! They're these types of biscuits that everyone has at home.
They're just... so delicious!
And my other favourite is... HAGELSLAG! And hagelslag is basically chocolate sprinkles
that you put on a piece of bread for breakfast. So you grab a piece of bread, add butter and hagelslag
just fold it and you're eating a mouthful of chocolate and it's just... DELICIOUS!
I cannot live without hagelslag! I even brought it with me when I studied in London.
Because it's just so good to sometimes eat something sweet and crunchy on your toast.
Something that's not like Nutella, but just nice and crunchy!
and ahhhh I just love it!
So, hagelslag is definitely one of my favourites. Together with BITTERGARNITUUR!
Bittergarnituur is basically deep fried snacks filled with meat or cheese or even nasi or bami
and there is like a nice crunchy crust and then you deep fry it and eat it with mayo or mustard or ketchup!
It's just the ideal party snack! You always have it at every party you go to.
They just always deep fry the bittergarnituur and it's SO GOOD!
There's always the moment when the plate full of bittergarnituur is handed out and everyone is like
"GIVE IT TO ME! I NEED IT!" It's just so good!
But well, I think I'm going to leave it at this because this video is getting so long already!
And I've got to add all the subtitles, so it's going to take me a long time.
So I really hope you liked this video! Also to just hear me speak Dutch for a change!
I wish I could experience hearing Dutch as a non-Dutch person, but unfortunately that's not going to happen.
But if you liked this video please give it a thumbs up and subscribe for more videos!
And I really hope you all have a fantastic day and I will see you next time!
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振奮人心,中國巨浪3來襲可覆蓋歐洲 - Duration: 2:56. For more infomation >> 振奮人心,中國巨浪3來襲可覆蓋歐洲 - Duration: 2:56.-------------------------------------------
국제커플 캐나다 210명 사는 섬 로드트립! (자막) ISLAND HOPPING & Road Trip - Duration: 17:42. For more infomation >> 국제커플 캐나다 210명 사는 섬 로드트립! (자막) ISLAND HOPPING & Road Trip - Duration: 17:42.-------------------------------------------
KOREDE MARKET l FiYAT l KOREAN MART l 韓国のマートプライス - Duration: 24:53. For more infomation >> KOREDE MARKET l FiYAT l KOREAN MART l 韓国のマートプライス - Duration: 24:53.-------------------------------------------
#hatknitting #howtoknit How to knit a hat knitting. The simplest description of the cap - Duration: 44:43. For more infomation >> #hatknitting #howtoknit How to knit a hat knitting. The simplest description of the cap - Duration: 44:43.-------------------------------------------
"LOVE BY CHANCE THE SERIES" ASIAN GAY FILM WORTH SEEING IN 2018 | REACTION WITH KASTYM #blkastym - Duration: 4:14.Hello,
Welcom to my channel KASTYM Official
Today I will bring you a new series on my channel with the name...
REACTION WITH KASTYM
And the first movie that I will feel is the movie ...
It's "LOVE BY CHANCE THE SERIES"
Although the new debut,
the film of Thailand "Love by Chance" has attracted much attention from the community of "ladies" love this line.
The project is adapted from the famous novel of the same name
Owning a cast of "super", cute, cool, powerful - sweet too full
So it is not difficult to understand when Love by Chance has been the special attention of fans during the last time
The love story revolves around the love story between two young students Pete (Saint Suppapong) and Ae (Perth Tanapon)
Pete is a handsome, tall, white and wealthy so everyone admire
As a gay guy, Pete's problem was that he was too gentle, too weak to defend himself from the scoundrels,
is always bullied and is disgusted with his gender. The predicament that led Pete to meet Ae
In contrast to Pete, Ae is just a normal student but his personality is extremely strong, meaning with friends, only slightly ... a little dwarf
It all started when he was dwarfed by Ae for avoiding the car and slamming into a thin Pete
With a good nature, Ae certainly did not leave Pete injured and even committed to take you to the hospital.
And so, every look of anxiety, gentle gestures and Ae's caring behavior has attracted Pete at times or not.
By the way, Ae knew that and told Pete he was not stigmatize, regardless of Pete.
The subsequent accidental encounters made Ae better understand Pete,
and also since ever, Pete has become the person that Ae always care, care and want to protect
Every time Pete was raped by his friends, Ae appeared as a knight who helped to save you
The scene of love is very cute "cute mice" of the two boys make happy girlfriend face
I was jealous of the hour the knight wearing some princess "cute" to go to save the Prince! akakak
Furthermore, it is Ae who is also the motivator for Pete who has the courage to talk to his mother.
Because, Pete's mother is a wonderful person, not only does she not hate her son,
On the other hand, your mother understands and still loves his.
Just one of these details is enough for us to see too much human meaning in this movie
It is the courage to overcome prejudices to live true to yourself
Love is sweet, strong despite the contempt, warm love and selflessness that parents give to their children.
Besides the garden scene suitable for young audiences with deep content,
Another plus point of the film is that the cast is extremely well-connected
and closely resembles the description in the novel
Own looks handsome but the style "white white" and gentle as Korean boys
Saint really fit into the role of a wealthy character is Pete
And while Perth is young (born in 2001, 3 years younger than Saint),
the acting is fine and portrays the character of his character.
- guy "knight" Ae
The moments of love between the two great men both in the film
and on the film does not know how to cut down the heart of the "ladies" here?
It is unpredictable how the next movie will be shown but first
With a stable cast, even plot and interesting plot, "Love by Chance" is definitely a sweet boylove work worth watching for once.
Besides that, the film is very clever combination with the famous BL series ...
"LOVE SICK THE SERIES"
That song's name is "Shake"
It made me feel very happy and returned to my memory when I first started watching boylove
Celebrities rushed in and "Love by Chance" performed and excelled in that section!
To me,
An excellent film is not merely a cast
that movie must know emotional expression
And let the viewers feel so happy and exciting watching the movie!
That is the best movie and only Thailand do this for boylove
....
Here is the full reaction, please subscribe to watch other great videos coming!
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Plan with me | September 2018 Bullet Journal Setup | Fox and Flowers - Duration: 15:25.Hi everyone, I hope you're doing fantastic!
It is that time again to setup our bullet journals for the month of september and it's
so special for me because this month marks exactly one year since I started bullet journaling!
I cannot believe that it's been a year already and I what's funny is that I still look
forward to setting up my monthly layout.
I do have to admit that some months are a little more tedious than others, but overall,
it was has been a commitment that really escalated my drawing abilities and creativity.
So if you just started, don't stress too much because the more you do something, the
more you'll learn and you'll eventually improve!
So to commemorate this one anniversary and because the majority of you voted in my last
plan with me video, I am redrawing my very first bullet journal setup ever and I've
added a story to it, following the beloved bunny as it meets the very first of my characters,
the fox.
Thank you Skillshare for kindly sponsoring this video and allowing me to create more
content for you.
I'll tell you more about them later but if you've been following me than you know
how much I love them as a learning resource!
Before we get into this month's set-up, I want to take you back to my very first set-up
that started this whole journey.
Some pages are blank as I was trying to find a setup that worked for me, so if you end
up with unfinished trackers, it is okay!
Also one thing to note, is that I only had 5 thousand followers when I posted my first
setup and we're so close to 100k right now, that it's surreal!
Thank you for being such a lovely and supportive community, I love you so much!
When I was redrawing the sleeping fox, I actually noticed that my style changed from a little
more of a cartoon style to an elegant, semi realistic illustration style.
I'm not quite sure how to explain it, but side by side comparison which you'll see
at end, you'll notice the difference.
It's as if i grew my drawing style and it became a little more mature.
I also noticed that I love to add a bit of color to the spreads and have no fear of experim enting
with different color combinations.
So first hand I've experienced all of the amazing possibilities when you find the courage
to try.
So for the new sleeping fox, I'm using four different co lors this time, which I've never
done before in my bullet journal and i thought it was going to look funny, but it looks so
good, almost like a vintage color scheme.
Here I'm using my Zig blue gray for the leaves and stems, my tombow pale yellow 991
and zig sand for the yellow flowers.
And then the zig pale rose for the pink flowers.
For the fox, I used the zig sand again to draw in the strokes of the fur and then used
my water brush to smooth out the colors.
After everything is dry, I went back in with my 02 and 05 micron to add in the details
and give it a little more definition.
If you look super closely to my inking you'll notice that I don't follow my marker lines
too much, and that's because I love that imperfect style, giving it a very carefree feel.
I'll have the link to all of my supplies down in the description and I'll also have
the link to this full setup as a printable down below as well, so check that out when
you can.
Just as the flowers take their last breath and the winds carry a slight chill across
the lands, the beautiful red fox dreams of a pleasant time, where there is an abundance
of friendship, happiness, and adventure.
Anyone who watches the fox would know how peaceful and even happy she is, as she shares
a bit of a smile while deep in slumber.
The next morning, she wakes to a feeling of something familiar but new at the same time.
And notices, not only the beautiful last breath of summer, but also little golden flashes
all around her.
Somewhat perplexed, she sits up quickly to watch the golden flakes dance in the air and
then boom, she feels a little bit of weight on top of her head as if something fell on
her.
What's even more interesting is that she's not afraid at all and feels this immense emotion
of love and connection to whatever it was.
"I just have to say, even though I've never met you, I dreamed a dream of the beginning
of something big and I feel so grateful that you exist.
I just had find you and I didn't even know if I could," the bunny says bursting with
excitement.
The fox smiles in response, yet still pondering if this is real and why she didn't remember
the bunny.
"It is odd and magical isn't it, this feeling of connection that we both have?
You are grateful of me and I have so much belief in you and your journey to come."
The fox says.
She continues by saying, "Somethings and actually the most beautiful things in life
can't be explained, but felt, and in this circumstance it is truly felt and is a blessing.
Thank you for finding me and including me as part of your story."
The bunny gives the fox a friendly pat on the head as they both dwell in happiness,
letting go of their questions and confusion, relishing in the present and believing only
the feeling of something beyond logic.
This month is dedicated to new beginnings for my journaling journey and also for everyone
who is beginning a new school year or a new chapter, whatever that maybe.
F. Scott Fitzgerald Once said, For what it's worth: it's never too late to be whoever
you want to be.
I hope you live a life you're proud of.
And if you find that you're not, I hope you have the strength to start over."
Just as the bunny and the fox begin their journey together, believing not in logic,
but on the want of making their dreams come true.
I hope that you take every chance to pursue yours.
The presence of flowers is proof that summer doesn't want to let go.
So for as long as it can, it will deliver its radiance.
This is my three month calendar spread with this month larger up top and the next two underneath., smaller.
It is the exact same spread that I created a year ago and it's amazing that I still
use it today, with some slight style changes that make it a little more elegant.
With all of its trust in the bunny, the bunny and the fox wander the mystical forest, guided
only by their intuition and the golden flakes.
They pass a pair of mushrooms and a pair of birds, one of which is offering the other
an olive branch, as the other smiles in acceptance of the apology and gift of friendship.
The golden flakes are everywhere now, enveloping the whole forest in a subtle glow of beauty
and serenity, illuminating their path.
This page can either be used as my video ideas page or simple a brain dump page.
I'm not quite sure yet, but it has been so nice to have blanks pages in my layout
so that I can use it for whatever I need as the month goes on.
On the bottom on the page is a little reminder quote that says, Every day is a chance to
change your life.
A very true statement about the power we have and the weight of the decisions that we make.
Next up is my Monthly calendar.
This is new and I absolutely love it.
After using the full monthly calendar for so long, I realized that I never really fill
up the entire spread, only the very important dates.
So this is going to keep things a little more tidy and neat.
I also combined my trackers onto this page by adding a keys section to the bottom.
So for everyday that I work on the book or hit my fitness goals, i'll put a little
dot in the upper left corner of the box corresponding to the day.
This way, I can look at this page and see my month planned out and keep track of my
progress.
On the bottom is also a box for my goals, so this month, actually it'll be August
30th, so not quite September, but my goal is to launch my shop on my website and continue
to improve during the month.
So in case you missed that, check out new stickers and the new website on August 30th
at 4pm EST. right before the holiday weekend,
I will have a gift and promotion going on so mark that on your calendars.
I had to move the original date back because it was not ready yet and now it will be for sure
My next goal is to finish preparing for my second craft show, so if you want to meet
me on September 9th which is definitely coming up, check out the info in the description.
And then lastly, I'd like to finish the first draft of my manuscript for my book this
month.
If you want to follow the journey of the book and see any of the progress, join the blush
patrons for exclusive content because I won't be posting that anywhere else, except for
Patreon.
Info and how to sign up also below, so make sure to check everything out, I'm so excited
for it all.
As the bunny and the fox continue to follow the radiant flakes, the forest opens up to
a magnificent wonder of the moon made of the last flowers of summer.
Its size is beyond anything of this earth and its beauty is simply breathtaking.
"Never have I seen such a magnificent scene where the blooms itself turned into the moon
that we all long to, today is clearly a magical moment in time and I have a feeling it is
because of you, little fox." says the bear.
The fox, accepting this as its reality and enjoying the moment, plops down beside the
bear, making itself comfortable, basking in the new found, yet familiar presence of friendship.
The bunny pats the fox on the nose in complete approval and almost like reassurance, as the
other bunny makes its wishes to the moon.
Unbeknownst to anyone, these wishes joyfully sprout from seemingly nothing and blossom
into special and unique beginnings to something, might I say, magical.
This is my weekly cover page, so on the next page I'll be creating my weekly as the month
goes by, which has been perfect!
Underneath this final illustration is a final quote that is true for this whole cycle of
our lives.
It says, "I'm stronger because I had to be, I'm smarter because of my mistakes,
happier because of the sadness I've known, and now wiser because I learned."
I hope that you read that one over and over again and remember it by heart.
Because everything that happens, good or bad, is a learning opportunity and you have the
choice to let it overpower you or empower you to start again, better than you were.
now here is the final flip through
And I have to say this every month, but this is my favorite spread so far!
So side by side wise, I really love this redraw.
I wanted it tell the story of my experience going back to something I created a year ago,
thanking it for existing and really show its importance as I continue to pursue my dreams.
And overall the story and the colors and spreads, it all turned out just perfect!
And since I love share good finds with you, I've just learned this hack on procreate to turn
drawings into gifs animations, without using an animation app or program, which was perfect
since I'm already learning to use procreate and I wanted to switch up the illustration on my homepage and actually make it move
So this is all thanks to today's wonderful sponsor, Skillshare!
I am being completely honest when I talk about them.
I've learned so much, which allowed me to progress in my work, and there is still so
much I want to learn and I can do that all through this platform.
Real quick if you haven't heard of Skillshare, it is an online learning platform for creators
with more than 22,000 classes ranging from calligraphy to how to use photoshop.
I learned how to use procreate using this class and then now, I learned how to animate
using this class.
Something I actually couldn't find anywhere else.
So, just take a moment to browse their website, check out these classes if you want to learn
and send them some love for supporting me.
Premium memberships start at $10 a month, but for the first 300 people who click the
link the description or go to the link on the screen, you can get 2 months of unlimited
learning free, without any commitments!
I also want to thank my "hello sweet bear" blush patrons for generously supporting my
work, you are simply wonderful and I cannot truly express my gratitude for you! and for all of the patrons supporting my work!
If you want you have to be featured in my videos, check out all of the fun links in
the description and join me on instagram for quick updates and even more creativity.
I sincerely hope that this video helped you to start your new beginning with complete
determination to conquer your fear, forgive your mistakes and those of others, be brave,
and succeed.
Thank you so much for watching and I'll see you next time, bye.
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Apple Cider Vinegar & Cayenne Pepper Drink: Benefits - Duration: 4:09.The health benefits of taking apple cider vinegar and cayenne pepper, and a recipe to
use at home.
1.
Cayenne Pepper is a well-known powdered spice and is used in herbal medicine all over the
world.
It has a powerful effect on improving digestion and fighting the common cold.
2.
Apple Cider Vinegar has been used for thousands of years to treat all kinds of diseases and
infections.
It is most commonly used to help the body absorb nutrients from foods and get rid of
acid reflux.
3.
When these two ingredients are mixed together in the form of a drink, they have the ability
to help you lose weight quickly by improving overall digestive health.
Let's take a look at the recipe
You Will Need
250ml Water
1 Tablespoon Apple Cider Vinegar 1/2 Teaspoon of Cayenne Pepper
Method:
Add all of the ingredients to a glass and
stir well.
Drink this first thing in the morning every day.
4.
This drink quickly begins to boost the metabolism of the body.
The cayenne pepper powder contains compounds which may make the stomach feel warm.
5.
The apple cider vinegar boosts stomach acid which is needed in order to break down foods
more effectively.
6.
After taking this mixture for a week, your body will have improved digestion and will
be able to tap into it's stored body fat for energy.
7.
This works well when following any weight loss plan or diet.
We recommend following the ketogenic diet whilst increasing your intake of leafy green
vegetables.
8.
The nutrients from the vegetables will be more easily absorbed and your body will become
more healthy.
A healthy body has the ability to regulate it's own weight naturally and fat loss is
an added benefit.
9.
The apple cider vinegar in the mixture also works to treat a common condition called acid
reflux or GERD.
Acid reflux is caused by the stomach being too alkaline.
10.
This drink is also very effective at reducing joint and bone pain for those suffering with
arthritis.
It purifies the liver and kidneys and lowers inflammation.
11.
We recommend using high quality products, such as raw unfiltered apple cider vinegar
and a good cayenne pepper powder for the best effects.
12.
Many people who drink this tonic on a daily basis find that they no longer suffer with
colds in the winter.
It has a powerful effect on boosting the immune system.
13.
The cayenne pepper may also prevent food poisoning in certain situations, as it has the ability
to destroy harmful pathogens in foods.
14.
We love adding a dash of cayenne to curries and homemade healthy soups to add a little
heat and nutrition.
15.
Drinking a good quality mineral water throughout the day will also help to balance your electrolytes
during weight loss.
Making you feel less fatigued and more energetic.
16.
Try to reduce your intake of carbohydrates to as little as possible for the fastest possible
weight loss.
Instead increase your fat intake from healthy sources such as olive oil or avocado.
17.
To learn more about apple cider vinegar, or cayenne pepper powder; please see our other
videos.
Thank you very much for listening, a like
is always appreciated and remember to subscribe and tap the bell for more healthy videos.
I wish you great health, wealth and happiness.
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周立波的爱情故事感动网友,原来这才是所谓真正的爱情啊! - Duration: 3:52. For more infomation >> 周立波的爱情故事感动网友,原来这才是所谓真正的爱情啊! - Duration: 3:52.-------------------------------------------
Top Sertanejo 2018 Mais Tocadas - As Melhores do Sertanejo Universitário 2018 (Lançamentos) - Duration: 1:11:58.Hello friends ! If you like this mix please Like & share, sub channel. Thanks you very much !!
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'BOLSONARO FOGE DO CONFRONTO DAS IDEIAS COMO O DIABO FOGE DA CRUZ' - Duration: 3:51. For more infomation >> 'BOLSONARO FOGE DO CONFRONTO DAS IDEIAS COMO O DIABO FOGE DA CRUZ' - Duration: 3:51.-------------------------------------------
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Como instalar 220 Volts conector y 50 amp breaker para tu maquina de soldar mig o electrodo - Duration: 10:51.hello friends welcome to my channel in this occasion I want to share with
you how can we install 220 Volts for our welding machine here
I already have our electricity box and remove the cover that covers our
braker
also already install this pipe is for where will I run my
wiring and here I have the box ready too
where will I put the plug for our welding machine
I'm going to need three cables of number 6
Red black and green that is our ground
I'm going to use this breaker it's a 50 A pill
this is the one that requires my welding machine and most of the machines
of welding is 50 A
here I have the plug that I'm going to install
before we start working we have to make sure to turn off
main braker to avoid an accident
we must also wear gloves
already after having turn off our main braker, we already installed our
pipe where we are going to run our wire
what I'm going to do I'm going to pass these wires and now I'm going to continue
explaining the procedure
Once we have installed our wires
are here
and above also the ground
our next step is going to be installing them here in our
connector here we are going to install in the screw
green let's install our wire green
let's take either red or black and we will install it anywhere
does not matter
because both have a discharge of 110 volts
here we would have our connection ready
our next step is
install here
we already have our connector installed
but when we do not use it we can put a padlock
now the next step is to install our Ground
we must locate a space where can we connect our Ground
here the neutrals and the Ground are together there are times that we have the
Ground on one side and the neutrals of other side
here I have a space where will I install the Ground
ready
now I'm going to proceed to install our breaker
let's put a cable in each hole
it does not matter which side it is
after having installed our two cables
we are going to install our breaker it has some hooks here and they are going to hook
there
we only press
and ready until here it would be all our
connection of all cablesbreakers and the plug I'm going to give you a review
here we have our ground wire is in all our lands remember
always work with the lever down we have to cut our electricity
to avoid any accident this would be our ground and here they are
our two black cable connections red cable and also here they go
here is our pipe that we install
and our plug We use a 250 V 50 amp
remember cables number 6
in our 50 A breaker is what requires our welding machine
our next step is to put the lid and prove that our plug is
working correctly
we already have our breaker on position
now we are going to check that our connector is
working well let's use a multimeter
there are we have
working
the other side too
both together they give us
the electricity that we need for our welding machine
if you liked the video do not forget subscribe to my channel leave your like and
comment in the comment box what It was what you thought of the video if it has
served or you know someone who I can serve
do not forget to share this it's a plug for a 220 welder
thank you and see you in the next video.
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R$ 668 milhões de patrimônio: quem é e como investe o candidato mais rico do Brasil - Duration: 3:27. For more infomation >> R$ 668 milhões de patrimônio: quem é e como investe o candidato mais rico do Brasil - Duration: 3:27.-------------------------------------------
OLHOS: DELINEADO VERMELHO - LUNA "FREE SOMEBODY" - Duration: 3:29.I was already with my skin done. I did the well known Kardashian style.
With a brown shade from Catherine Hill's palette I'm making my eyes looking more deeper,
and then with the orange tone I'll warm it up.
Sponge brush and yellow shadow. Just tapping it in so it will look really pigmented.
Remember to blend the edges with the very first brush.
Red lipstick as eyeliner! That was Ruby Rose's 33.
It says it's matte, but it's not, so I put a bit of red shadow to set it.
Going back with the first shadow closer to my water line
Orange shadow as lipstick.
My inspiration for this makeup was Luna's "Free Somebody" album cover.
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