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Some of you may have seen in school that the surface area of a sphere is 4pi*R^2, a suspiciously

suggestive formula given that it's an clean multiple of pi*R^2, the area of a circle with

the same radius. But have you ever wondered why is this true? And I don't just mean

proving this 4pi*R^2 formula, I mean viscerally feeling a connection between this surface

area, and these four circles.

How lovely would it be if there was some shift in perspective that showed how you could nicely

and perfectly fit these four circles onto the sphere's surface? Nothing can be quite

that simple, since the curvature of a sphere's surface is different from the curvature of

a flat plane, which is why trying to fit paper around a sphere doesn't really work. Nevertheless,

I'd like to show you two ways of thinking about this surface area connecting it in a

satisfying way to these circles. The first is a classic, one of the true gems of geometry

all students should experience. The second line of reasoning is something of my own which

draws a more direct line between the sphere and its shadow.

And lastly I'll share why this four-fold relation is not unique to spheres, but is

instead one specific instance of a much more general fact for all convex shapes in 3d.

Starting with a birds eye view here, the idea for the first approach is to show that the

surface area of the sphere is the same as the area of a cylinder with the same radius

and the same height as the sphere. Or rather, a cylinder without its top and bottom, what

you might call the "label" of that cylinder. With that, we can unwrap that label to understand

it as a simple rectangle.

The width of this rectangle comes from the cylinder's circumference, so it's 2*pi*R,

and the height comes from the height of the sphere, which is 2R. This already gives the

formula, 4pi*R^2, but in the spirit of mathematical playfulness it's nice to see how four circles

with radius R fit into this. The idea is that you can unwrap each circle into a triangle,

without changing its area, and fit these nicely onto our unfolded cylinder label. More on

that in a bit.

The more pressing question is why on earth the sphere can be related to the cylinder.

This animation is already suggestive of how this works. The idea is to approximate the

area of the sphere with many tiny rectangles covering it, and to show how if you project

those little rectangles directly outward, as if casting a shadow by little lights positioned

on the z-axis pointing parallel to the xy plane, the projection of each rectangle on

the cylinder, quite surprisingly, ends up having the same area as the original rectangle.

But why should that be? Well, there are two competing effects at play here. For one of

these rectangles, let's call the side along the latitude lines its width, and the side

along the longitude lines its height. On the one hand, as this rectangle is projected outward,

its width will get scaled up. For rectangles towards the poles, that length is scaled quite

a bit, since they're projected over a longer distance. For those closer to the equator,

less so

But on the other hand, because these rectangles are at a slant with respect to the z-direction,

during this projection the height of each such rectangle will get scaled down. Think

about holding some flat object and looking at its shadow. As you reorient that object,

the shadow looks more or less squished for some angles. Those rectangles towards the

poles are quite slanted in this way, so their height gets squished a lot. For those closer

to the equator, less so.

It will turn out that these two effects, of stretching the width and squishing the height,

cancel each other out perfectly.

Already as a rough sketch, wouldn't you agree this is a very pretty way of reasoning?

Of course, the meat here comes from showing why these two competing effects on each rectangle

cancel out perfectly. In some ways, the details fleshing this out are just as pretty as the

zoomed out structure of the full argument.

Let me go ahead and cut away half the sphere so we get get a better look. For any mathematical

problem solving it never hurts to start by giving names to things. Let's say the radius

of the sphere is R. Focus on one specific rectangle, and let's call the distance between

our rectangle and the z-axis is d. You could complain that this distance d is a little

ambiguous depending on which point of the rectangle you're going from, but for tinier

and tinier rectangles that ambiguity will be negligible. And tinier and tinier is when

this approximation-with-rectangles gets closer to the true surface area anyway. To choose

an arbitrary standard let's say d is the distance from the bottom of the rectangle.

To think about projecting out to the cylinder, picture two similar triangles. This first

one shares its base with the base of the rectangle on the sphere, and has a tip at the same height

on the z-axis a distance d-away. The second is a scaled up version of this, scaled so

that it just barely reaches the cylinder, meaning its long side now has length R. So

the ratio of their bases, which is how much our rectangle's width gets stretched out,

is R/d.

What about the height? How precisely does that get scaled down as we project? Again,

let's slice a cross section here. In fact, why don't we go ahead and completely focus

our view to this 2d cross section.

To think about the projection, let's make a little right triangle like this, where what

was the height of our spherical rectangle is the hypotenuse, and its projection is one

of the legs. Pro tip, anytime you're doing geometry with circles or spheres, keep at

the forefront of your mind that anything tangent to the circle is perpendicular to the radius

drawn to that point of tangency. It's crazy how helpful that one little fact can be. Once

we draw that radial line, together with the distance d we have another right triangle.

Often in geometry, I like to imagine tweaking the parameters of a setup and imagining how

the relevant shapes change; this helps to make guesses about what relations there are.

In this case, you might predict that the two triangles I've drawn are similar to each

other, since their shapes change in concert with each other. This is indeed true, but

as always, don't take my word for it, see if you can justify this for yourself.

Again, it never hurts to give more names to things. Maybe call this angle alpha and this

one beta. Since this is a right triangle, you know that alpha + beta + 90 degrees = 180

degrees. Now zoom in to our little triangle, and see if we can figure out its angles. You

have 90 degrees + beta + (some angle) forming a straight line. So that little angle must

be alpha. This lets us fill in a few more values, revealing that this little triangle

has the same angles, alpha and beta, as the big one. So they are indeed similar.

Deep in the weeds it's sometimes easy to forget why we're doing this. We want to

know how much the height of our sphere-rectangle gets squished during this projection, which

is the ratio of this hypotenuse to the leg on the right. By the similarity with the big

triangle, that ratio is R/d.

So indeed, as this rectangle gets projected outward onto the cylinder, the effect of stretching

out the width is perfectly canceled out by how much the height gets squished due to the

slant.

As a fun sidenote, you might notice that it looks like the projected rectangle is a 90

degree rotation of the original. This would not be true in general, but by a lovely coincidence,

the way I'm parametrizing the sphere results in rectangles where the ratio of the width

the the height starts out as d to R. So for this very specific case, rescaling the width

by R/d and the height by d/R actually does have the same effect as a 90 degree rotation.

This lends itself to a rather bizarre way to animate the relation, where instead of

projecting each rectangular piece, you rotate each one and rearrange them to make the cylinder.

Now, if you're really thinking critically, you might still not be satisfied that this

shows that the surface area of the sphere equals the area of this cylinder label since

these little rectangles only approximate the relevant areas. Well, the idea is that this

approximation gets closer and closer to the true value for finer and finer coverings.

Since for any specific covering, the sphere rectangles have the same area as the cylinder

rectangles, whatever values each of these two series of approximations are approaching

must actually be the same.

I mean, as you get really aggressively philosophical about what we even mean by surface area, these

sorts of rectangular approximations and not just aids in our problem-solving toolbox,

they end up serving as a way of rigorously defining the area of smooth curved surfaces.

This kind of reasoning is essentially calculus, just stated without any of the jargon. In

fact, I think neat geometric arguments like this, which require no background in calculus

to understand, can serve as a great way to tee things up for new calculus students so

that they have the core ideas before seeing the definitions which make them precise, rather

than the other way around. Unfold circle

So as I said before, if you're itching to see a direct connection to four circles, one

nice way is to unwrap these circles into triangles. If this is something you haven't seen before,

I go into much more detail about why this works in the first video of the calculus series.

The basic idea is to relate thin concentric rings of the circle with horizontal slices

of this triangle. Because that circumference of each such ring increases linearly in proportion

to the radius, always 2pi times that radius, when you unwrap them all and line them up,

their ends will form a straight line, giving you a triangle with a base of 2pi*R, and a

height of R, as opposed to some other curved shape.

And four of these unwrapped circles fit into our rectangle, which is in some sense an unwrapped

version of the sphere's surface. Second proof

Nevertheless, you might wonder if there's a way than this to relate the sphere directly

to a circle with the same radius, rather than going through this intermediary of the cylinder.

I do have a proof for you to this effect, leveraging a little trigonometry, though I

have to admit I still think the comparison to the cylinder wins out on elegance.

I'm a big believer that the best way to really learn math is to do problems yourself,

which is a bit hypocritical coming from a channel essentially consisting of lectures.

So I'm going to try something a little different here and present the proof as a heavily guided

sequence of exercises. Yes, I know that's less fun and it means you have to pull out

some paper to do some work, but I guarantee you'll get more out of it this way.

The approach will be to cut the sphere into many rings parallel to the xy plane, and to

compare the area of these rings to the area of their shadows on the xy plane. All the

shadows of the rings from the northern hemisphere make up a circle with the same radius as the

sphere, right? The main idea will be to show a correspondence between these ring shadows,

and every other ring on the sphere. Challenge mode here is to pause now and see if you can

predict how that might go.

We'll label each one of these rings based on the angle theta between a line from the

sphere's center to the ring and the z-axis. So theta ranges from 0 to 180 degrees, which

is to say from 0 to pi radians. And let's call the change in angle from one ring to

the next d-theta, which means the thickness of one of these rings with be the radius,

R, times d-theta.

Alright, structured exercise time. We'll ease in with a warm-up

Question #1: What is the circumference of this ring at the inner edge, in terms of R

and theta? Go ahead and multiply your answer the thickness R*d-theta to get an approximation

for this ring's area; and approximation that gets better and better as you chop up

the sphere more and more finely.

At this point, if you know your calculus, you could integrate. But our goal is not just

to find the answer, it's to feel the connection between the sphere its shadow. So…

Question #2: What is the area of the shadow of one of these rings on the xy-plane? Again,

expressed in terms of R, theta and d-theta.

Question #3: Each of these ring shadows has precisely half the area of one of these rings

on the sphere. It's not the one at angle theta straight above it, but another one.

Which one? (As a hint, you might want to reference some

trig identities) Question #4: I said in the outset there is

a correspondence between all the shadows from the northern hemisphere, which make up a circle

with radius R, and every other ring on the sphere. Use your answer to the last question

to spell out exactly what that correspondence is.

Question #5: Bring it on home, why does this imply that the area of the circle is exactly

¼ the surface area of the sphere, particularly as we consider thinner and thinner rings?

If you want answers or hints, I'm quite sure people in the comments and on reddit

will have them waiting for you.

And finally, I'd be remiss not to make a brief mention of the fact that the surface

area of a sphere is a specific instance of a much more general fact: If you take any

convex shape, and look at the average area of all its shadows, averaged over all possible

orientations in 3d space, the surface area of the solid will be precisely 4 times that

average shadow area.

As to why this is true, I'll leave those details for another day.

Hey, given the time of year I thought I'd take a moment to let you know about some new

additions to the 3blue1brown store. Aside from the usual fare, like shirts, mugs and

posters, there are now some Fourier Series socks, which show certain periodic functions

graphed on a cylinder, the way all periodic functions wish they were graphed.

And, by popular demand, there are the plushie pi creatures, both ordinary and extra plushified.

I'll admit that I was initially skeptical when people asked about them, because, you

know, what would you do with one, exactly? But after getting them, and seeing the pictures

people would send, what I realized is they basically serve the same function as a flag.

Just instead of representing loyalty to a country, or even to the channel per se, it's

to math, and the idea that math has some personality to it, more so than it often gets credit for.

For more infomation >> But WHY is a sphere's surface area four times its shadow? - Duration: 17:01.

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COME AT ME BRO | Bully Part 2 - Duration: 15:30.

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3 cantores ATUAIS e 3 filmes NETFLIX para praticar FRANCÊS | com Francês com Paul - Duration: 7:07.

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#STORYTIME I GOT LOST IN LONDON!! // E Erre - Duration: 7:05.

hi Avenoides, I hope you are doing great

the reason why I'm doing this video in English is to show you my skills in

English and because of a homework, as you can see the title, I´m about to tell you a

storytime when I got lost in London I've never told this story before

so be privilege to hear this. I hope no one

had the experiment in a similar situation because it feels so so awful

that I thought that I was about to die well not that much so okay let's begin

as you know my brother and I went to Brighton with EF to, you know study meet

friends learn English and stuff, we had planned this trip to London a week ago for

this was our last day and we wanted to spend it so that day started like

normal normal classes normal schedule before the middle day when we got

certificated of course I got 100 percent the lessons weren't finished yet

so we asked the reception. for the ones who doesn't know every EF school has a

reception for you know to sign when you enter for the ones who are under 18, to

make activities etc. so we asked the reception to left early for this was our

last day and we already graduated. and guess what? she said yes. so my brother

and i as faster as we could we took a bus to our home change clothes and I don't

know why something told me to carry an extra outfit in my back so I did. so as

fast as we could we caught a bus to brighton station, bought a ticket and caught the train to london

when we are arrived there, we visited monuments we had last time such as Buckingham palace,

big ben, Hyde Park and Piccadilly we bought chocolates at M&m´s

the night went out and as fast as we could we took the subway to inter station

hoping that the train had passed yet

hi everyone, guess what? you won´t believe it

we were buying happily chocolates at my name's o M&m´s, then souvenirs.

so by the time we arrived, it was 10 pm. to arrive here we had to take

subway from Piccadilly to Victoria, easy, isn´t it? just many stops and then leave the subway

but it wasn´t like that, ´cause we skipped like 5 stops andarrived at the end of the line

that is Brixton and we had to arrived at Victoria Station

that is just 2 stops from piccadilly. So, our train departured at 11:30

right now it´s midnight. you know, it´s a struggle

´cause, from here to brighton, and Brighton to our host is 3 hours long

no one´d stay 3 hours at midnight, right now there weren´t any buses

right now we dont know what to do, whether search for a hotel or catch the next train

any buses so it was closed and it started to rain

plus the water was as cold as had never been when we arrived at the hotel it

turned out that it was yet in construction we shooked imagine yourself

in the middle of the midnight raining dark and without any hope of find a

hotel we walked down trying to check in in any hotel who was in a way but they

were all full of people I really wanted to shower to go to the bathroom just

leave my feet were hurting me I really wanted to at least sit until we bomped a

small park there were two guys sitting suspiciously in a bench my brother was

frightening so I bravely told him to cross the park because in the corner there

was a hotel where we cross in the park one of the guys

yelled at us and we started to run fast as we could dude you'd probably

have done the same if a 2-meters-high nigga

yelled at you in the middle of the night we ran an entered in the hotel we ask the reception for a room

and they said no we had no rooms available and we were like oh my god we

really wanted to sleep at least in the lobby

hungry tired we wanted to go to the bathroom we left the hotel and walked down the streets

in London without any idea where were we until I found this coin this coin saved

our lives I found this coin in the street and I

said well is the only lucky thing I had right now so I will keep it maybe it

will function and guess what it was useful because we rised our heads

end of the street was an fucking Ibis hotel that fucking hotel saved our life

we entered we asked for a room it doesn´t matter how many

It had cost you know every hotel has a room where you can see what's going on I was

inside how´s the bathroom that was the only room available so we asked if we could

sleep in that room and they said yes we enter we slept it was glorious in the morning we

change our clothes and luckyly i had that fucking outfit

we wave goodbye at our host family and that was the end of the day thank you

for watching this video I want you to please subscribe and like the video if

you liked it don't forget to comment that's all thank you for watching

Avenoide mayor said godbye and see ya soon

For more infomation >> #STORYTIME I GOT LOST IN LONDON!! // E Erre - Duration: 7:05.

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DETOX DE NOTÍCIAS 📺❌ | APRENDA A CULTIVAR A IGNORÂNCIA SELETIVA - Duration: 8:48.

For more infomation >> DETOX DE NOTÍCIAS 📺❌ | APRENDA A CULTIVAR A IGNORÂNCIA SELETIVA - Duration: 8:48.

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WHY AUSTRALIA IS BETTER THAN CHINA !!!! - Duration: 10:03.

Ten reasons why Australia is better than China?

But before we get started, make sure you click the subscribe button and click the bell icon

So don't miss out on anything also got a patreon if your Z's want to support me

number one

Australia has far less pollution

China is one of the most

industrialised

overpopulated over

polluted countries on earth

Up in Beijing. They have to wear masks just to breathe and did you know that the Chinese buy bottled air from Australia?

Just so that they can smell the sweet sweet air down under true

Australians are far more welcoming. We are far more friendly tourists. We have a

Multicultural country we have a multiracial country. We are far more polite and far more friendly

I know this is a little bit subjective, but I think most of the world would agree with this fact

Australia has

universal free health care we have an old-age pension for

People over 65 and that is universal unless you are too rich and we also have welfare for the poor

Australia has one of the best welfare health care and

Old-age pension schemes in the world and that's why so many migrants want to come to Australia

for

freedom of speech

Australians can criticize the government Australians can criticize

Anybody they want we have freedom of speech

Of course there is crossing a line, but we can criticize our Prime Minister

We can criticize the government. We can criticize anything we can vote we have democracy

We have freedom of religion whereas in China

You cannot vote they have a dictator in place. They have an emperor now for life

they also do not have any sort of freedom of religion their persecuting the Tibetan people than the

persecuting the we

Muslim population

And if I was to make this video living in China, I would be put in jail. That's another factor

That's for five

China is one of the most over populated places on planet earth in Guangdong Province new

Guangzhou is the most heavily concentrated

population on planet Earth

This causes so many diseases and so many other problems by living in close quarters with other people

Which also contributes to their poor?

Which also

contributes to the poor pollution and

The sewerage problems and the overpopulation and the congestion. It just makes things very difficult when living in China

six

China has a very poor distribution of wealth. There is the people at the top who control all the wealth and

99% of the Chinese are poor whereas in Australia

We have a very large middle class and there's an a large

distribution of wealth

We have a better Gini coefficient than China and therefore we have a higher standard of living

Australia is as I mentioned before multicultural multiracial

We are more welcoming to other countries it's easier to

Become a citizen of Australia. It's easier to migrate to Australia

which makes us more welcoming and less racist than China you see the Chinese is only

Generally one type of people most Chinese identify as Chinese

Australians, we have so many different cultures so many different races and therefore we are far more

Welcoming than the Chinese people in general the stray is less racist than China. That's 7/8

Fresh produce. I think we can all agree that Australia has a far greater

variety of fresh fruit fresh vegetables than China also, we have a

highly desirable milk powder that the Chinese people are buying off the shelves in Australia at the moment and that

feeds into another reason is that

Australian businessman are far more trustworthy. The reason why so many Chinese people want to get their hands on our

fresh vegetables meat produce our

Our vitamins is because the Australian businessman are far more trustworthy. You see there was all these controversies in China where?

Chinese businessman were creating milk powder

for babies and now we're putting poison in there to increase the volume to

Reduce their overhead so they can make more money and so many

Children in China were getting sick and dying and that's why so many Chinese

Love getting their hands on fresh produce

Milk powder is one big example not to mention

We have all of these vitamins they combined stores in Australia and they're very popular. Well, most popular things that

Chinese love to get their hands on from Australians

We have a lot of Chinese people coming down to Australia

to get educated, Australia

Australians in general are higher educated than Chinese

we have some of the best universities in the world far better than China at least and that's why Chinese people are

Flocking to Australia to get educated all of our universities are full with so many Chinese and that's evidence enough

Migration patterns when you look at the migration patterns hardly any there's a very few amount of

Australians that are trying to get into China

very few Australians want to move to China because we have a higher standard of living in Australia and

Chinese people are doing everything they can to buy property

They they often use what I previously mentioned with education

they they go to Australia they get educated and they use that to try and get

Permanent residency and then they try to become citizens so they can live in Australia and get out of China

migration patterns is the best way to tell which country is better and

I think the Chinese people have voted with their feet now. That's my conclusion

Ten reasons why Australia is better than China now to all of my Chinese friends out there

I hope you're not too insulted by this but I'm allowed to be

Patriotic about my country for once and I think I was quite fair and quite objective with my own analysis

If it was a little bit bias if you felt that way

I'm sorry, you feel that way and for the netizens out there that want to attack me and call this races?

Well, China is a country and Australia is a country China is not a race. Australia is not a race. They're countries

It's just me pointing out

What I feel is a few points which need to be made and and for my Australian friends out there

Hope you enjoyed this video and it's time that we become a little bit more

Patriotic in Australia because Australia's been such a great country for such a long time

I think we have the right to be proud of Australia. Australia's achieved so much with such a small population

We've been so friendly and so welcoming to so many people from all over the world

We've saved so many refugees. We've saved so many economic migrants. We've done so much for the region

so much for the world in a way Australia has and Australia has been one of the most

If not the most

popular place on planet earth to move to over the last decade and I think we all should be very proud of that and

I thought it's time that I made a positive video pointing out how awesome Australia is for everybody out there

So if you like this video make sure you click the subscribe button and click the Bell icon

if you like my content and

You're a patriotic Aussie, you know, you can support me on patreon

Don't let fear stop you

For more infomation >> WHY AUSTRALIA IS BETTER THAN CHINA !!!! - Duration: 10:03.

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Faça Isso Hoje a Noite, e Seu HOMEM NÃO VAI Te Deixar Sozinha 1 Segundo - Duration: 2:43.

For more infomation >> Faça Isso Hoje a Noite, e Seu HOMEM NÃO VAI Te Deixar Sozinha 1 Segundo - Duration: 2:43.

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Elimi Birakma Episode 20 Trailer - Duration: 1:15.

Remember to subscribe to our channel and open notifications. Good Cruising.

Do not give up my hand Chapter 20 Trailer

Hi friends, Leave my hand We wanted to do an immediate analysis. All of Azra and Cenk lovers expect 1,500 reviews and 1,500 comments. Type '' AzCen '' in the comment. Good Cruising.

Despite Feride's resentment, she understands and grants Azra. Cenk, on the other hand, is not accustomed to Azra's departure and tries to persuade him to return.

Azra, happy to win the court and hoping to get Mert '' Sumerian threats to continue to be happy together with Cenk'le um Mert'le also begins to dissolve the ice between Az

Do you think Azra and Cenk will recover? All of Azra and Cenk lovers expect 1,500 reviews and 1,500 comments. Type '' AzCen '' in the comment. New videos will come. Stay on track.

Remember to subscribe to our channel and open notifications. New videos will come. Stay on track.

For more infomation >> Elimi Birakma Episode 20 Trailer - Duration: 1:15.

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THE NOW UNITED SHOW: Episódio 20 (Legendado PT-BR) - Duration: 11:38.

For more infomation >> THE NOW UNITED SHOW: Episódio 20 (Legendado PT-BR) - Duration: 11:38.

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Recover deleted files from a pendrive hard drive or SD card | Recuva - Duration: 7:24.

Good morning, today I'll explain how recover deleted files from a hard drive,

or any other storage system such as a USB memory, or a card

SD.

In this case to show you how to do it, I'm going to use a USB stick, it's here,

Unit H, which as you see is empty, and that's because before you start the video

I deleted all the files it contained, and being a pendrive, I can not

recover them from the recycling bin, that is, I have lost all my files.

But to get our files back deleted we will use the Recuva program,

which is a free program, and although here you see that there is also a professional version

which is for payment, do not worry, since we're just going to need the version

free

The first logical thing is to download the program, whose link I leave in the description

of the video, in my case as you can see I already have it downloaded to the desktop, so you

I'm going to double-click to start the installation.

We say yes, and in this first window if you notice, up on the right, it leaves us

select the language, so we're going to mark the Spanish

Then on the bottom, instead of giving it to "Install", it is better to go where it says

"Customize", in this blue Link from here, since that way we will have new options,

and I usually unmark these three, since I do not are necessary, or at least in my case, I prefer

do not mark them

Although if in your case you mark them, I commented that you are two are to add the

program to the options that appear when right click on a folder, and it's

last is for the program to look for new versions automatically.

Once explained this, we give the button Install to begin the installation.

And when it's over, we uncheck this box, and we can close the installer.

Now, with the program already installed, we open it with the icon that has been created on the desktop.

We say yes.

And the first thing that comes out is the assistant, what is the best way to use this program,

so he explained how it works.

We click on the next button.

And in this window it tells us what kind of files we want to search, be it images, videos,

documents, etc., although if you are not insurance you can simply leave marked

the option, which says All Files.

We give it back to next.

And now we get this window that asks us where are our files, so

check the option that says "In a position specific ", in order to indicate

the location of the disk where our deleted files, which in my case is the unit

Although as you can see you can also indicate any other location, so if you know

the exact folder where your files were you can select it for that,

do, a more limited search.

We give it again to continue to continue, and this option is very important, since we

Ask if we want to perform a Deep Scan.

But this box is not recommended to mark it in the first attempt, since if you mark it

the search for files will be much more slow.

Although if after a first attempt you have not managed to find your deleted files,

you can repeat the operation by marking then the Deep Scan, although that case, you will have

have to have a lot more patience until the process ends.

Once this has been clarified, we can only give it to the start button to start the search,

and being a USB memory, the scan It has been very fast, but keep in mind

that if in your case you are trying to recover files from a hard drive, wait

logically it will be bigger the bigger be its storage capacity.

As you can see, the program has been able to find the files that had been deleted, and

in this case they appear even with the original names

Although I want to clarify that it is not always well, since sometimes they may have lost

the original name, so in that case You will have to guess what is the file that

you wanted to recover, based on data like its extension or size.

Also keep in mind, that you will appear files that you could have deleted

a long time ago, and these will not always be found still in good condition

Now that we have the deleted files that the program has found, we only have

to mark them all, or only those we want recover, for example I'm going to select these

files in particular.

And once I have them selected you will see that at the bottom right there is a button that

says recover.

So when we click on it, it will come out this window so we can indicate in what

folder we are going to save the files that we are recovering.

In my case I'm going to create a folder on the desktop so we can see it better, and we give the button

To accept.

We wait until the files are copied in the folder.

Here we get this confirmation window, so we press OK again.

And now I only have to go to my desk, and as we see, indeed here is the

folder that I created, and inside it find the deleted files that I got

recover.

Before finishing I also commented, that if the hard disk space of the files

that you are trying to recover, it has already been overwritten for other later files, you do not go

to be able to recover.

And in that case you will get a message that says "This file is overwritten"

which you are seeing here.

While the files that say "No no overwritten cluster detected "

are those that are in a state recoverable.

That is why it is very important that this program be used as soon as possible if you have deleted

or lost by accident some file, for in that way avoid that the place of the disc

where that file was found is overwritten for another file.

So far the video, I hope you have found useful, if you had problems at the time of

recover deleted files.

If so, you can hit Like, or if you have Any doubt leave it in the comments.

And do not forget to subscribe.

See you later.

For more infomation >> Recover deleted files from a pendrive hard drive or SD card | Recuva - Duration: 7:24.

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Notti magiche (2018) ★★ ½ - Duration: 1:01.

How is this world of cinema?

1990 FIFA World Cup,

Italy - Argentina,

the Azzurri lost in penalty shootouts,

while a man

is thrown into the Tiber

aboard a car.

The Roman producer,

on the verge of bankruptcy,

Leandro Saponaro

is fished dead

but it wasn't the water that killed him

nor the impact.

His lover

swears that to kill him

were three aspiring screenwriters

that have to tell

the Carabinieri

their version of the facts.

The magical night

desired by the Italian fan

turns into the night of mistakes

and proposes a rendezvous

with memory.

Elegy of cinema,

the film shows with variable results

that everything

that has counted for us

is destined to disappear,

condemned

to get ruined.

Virzì

returns to the night of the crime

when the cinema stopped being

the world tout court

and his metalinguistic reflection

offers the possibility of reasoning

on the medium itself.

For more infomation >> Notti magiche (2018) ★★ ½ - Duration: 1:01.

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◤Nightcore◢ → Cherry Gum (lyrics) - Duration: 2:53.

This video includes lyrics on the screen

For more infomation >> ◤Nightcore◢ → Cherry Gum (lyrics) - Duration: 2:53.

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Ertugrul-124-sezoni 5 shqip(Aktivizoni titrat) - Duration: 2:07:04.

For more infomation >> Ertugrul-124-sezoni 5 shqip(Aktivizoni titrat) - Duration: 2:07:04.

-------------------------------------------

Por que Certificações abrem as portas dos bancos? - Duration: 2:02.

For more infomation >> Por que Certificações abrem as portas dos bancos? - Duration: 2:02.

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Cecilia Ruggeri apre l'XI Congresso Nazionale di FP Cgil - Duration: 7:53.

For more infomation >> Cecilia Ruggeri apre l'XI Congresso Nazionale di FP Cgil - Duration: 7:53.

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Últimas notícia de hoje : CLÓVIS ROSSI ESPERA QUE O MUNDO SALVE O BRASIL DE BOLSONARO - Duration: 2:31.

For more infomation >> Últimas notícia de hoje : CLÓVIS ROSSI ESPERA QUE O MUNDO SALVE O BRASIL DE BOLSONARO - Duration: 2:31.

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500 Gráficos de Amigurumi + Bônus - Pacote de Gráficos de Natal - Duration: 10:56.

For more infomation >> 500 Gráficos de Amigurumi + Bônus - Pacote de Gráficos de Natal - Duration: 10:56.

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Plate Tectonic Boundaries - Duration: 2:46.

In this video we will be explaining the motion and interaction of Earth's

tectonic plates. Heat from the core causes the mantle to move via convection

in cell like currents which drive plate motion. There are three types of plate

motion divergent, convergent, and transform. Divergent boundaries are found

where plates are moving apart. These mostly occur in the ocean. Seafloor

spreading occurs when two ocean plates move apart. This allows magma from the

mantle to push upward at the mid-ocean ridge and cool to create new oceanic

crust. As the plates continue to move away from each other the crust gets

older the further away you are from the ridge because the crust is thinner at

these boundaries. They have high heat fluxes where hydrothermal vents and

emit hot water and nutrients. One famous example where divers can see these vents

is near Thingvellir, Iceland between the Eurasian and North American plates.

Convergent boundaries are found where plates collide. Ocean-Continental

convergence are known as subduction zones. Subduction zones occur when dense ocean

crust converges with lighter continental crust. The ocean crust is denser it

subducts underneath continental crust creating an ocean trench. Ocean

lithosphere melts into the mantle to create stratovolcanoes. Ring of Fire is

created by subduction convergent boundaries and creates a band of

volcanoes along coastlines of some continents. Continental-continental

convergence create mountain belts, plates collide they crumble and create mountain

ranges. Himalayan range was created by this

collision when the Indian plate collided with the Eurasian Plate. The Himalayan

range continues to grow each year. Transform plate boundaries occur when

two plates slide past each other of laterally. Transform faults occur from

fracture zones where plates break from stress and

pressure, earthquakes occur there along strike-slip zones. An example of this is

this in Andreas fault. It is a continental transform fault in California that is

about 1200 kilometers, earthquakes occur there.

For more infomation >> Plate Tectonic Boundaries - Duration: 2:46.

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ePUC - Apresentação - Duration: 3:35.

For more infomation >> ePUC - Apresentação - Duration: 3:35.

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Pz.Kpfw.Tiger Ausf.(H)1 Tank Test Drive Realistic War Thunder - Duration: 7:43.

Venom

(I got that) adrenaline momentum

And I'm not knowin' when I'm

Ever gonna slow up and I'm

Ready to snap any moment I'm

X gon give it to ya

Fuck wait for you to get it on your own

X gon deliver to ya

Knock knock, open up the door, it's real

Wit the non-stop, pop pop and stainless steel

Go hard gettin busy wit it

But I got such a good heart

I'll make a motherfucker wonder if he did it

For more infomation >> Pz.Kpfw.Tiger Ausf.(H)1 Tank Test Drive Realistic War Thunder - Duration: 7:43.

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But WHY is a sphere's surface area four times its shadow? - Duration: 17:01.