Youtube News: Youtube daily report w Aug 11 2017

Hey everybody! Today we're making the Strawberry Apple Smoothie Recipe; it's

going to be fabulous! If you're unfamiliar with who we are and what we

do my name is Jenna and I'm the founder of GreenBlender and GreenBlender is a

smoothie delivery service where we send you all the pre-portioned ingredients and

superfoods to make awesome smoothies at home. We really want you to eat whole

foods that are unprocessed and you get to connect with the real food that

you're eating, and as an added bonus they taste delicious! So, thanks for watching

every day at 10:00am we post a new video, so feel free to browse our page and look

for fun videos. If you want you could give this video a like, subscribe to our

channel, and comment in the section below and let me know what your thoughts are

about m aqui berry powder because that's what we're talking about today. Maqui

berry powder is one of my all-time favorite superfoods that I can possibly

think of. Their kind of main claim to fame is that they have the highest

amount of antioxidants in any super fruit and the antioxidants that they

have are polyphenols and anthocyanins. And they are extremely dark; they kind of

look like - in the U.S. you're going to find a lot of powder form - and if you see

them in nature, they kind of look like a very dark blueberry. They are grown in

the Patagonia region of Chile and Argentina, which is kind of the far south

part of the of the countries. And they are really an all-around awesome little

tiny berry. They are - there aren't a lot of scientific studies around maqui berry,

but they have- because they have anthocyanins in it, that has been studied to

help prevent cancer, high blood pressure, and high cholesterol.

They're also, because of the high antioxidant level. They're also an anti-aging

berry, which antioxidants help against free radicals. We talked about that last

week and we'll link to that video. And free radicals kind of make you look

older. Its some of the issues with them, so when you have a high

antioxidant food that kind of ushers out those free radicals and allows you

to have a very young youthful skin in a very, in a very easy to consume way. They

also have anti-inflammatory properties, but besides all of the health benefits

of maqui berry powder, I really love maqui berry powder specifically because

they turn your smoothies bright purple. Which I'm really excited about. It's a great

little mask if you have people who might be a little hesitant to drink green

smoothies, or a smoothie that's not exactly the most palatable color even

though it tastes good. Adding a teaspoon or two of maqui berry powder will make

your smoothie turn a bright beautiful purple, and it will allow people who

might not want to drink a green smoothie drink a green smoothie. You can buy a

maqui berry powder at your local grocery stores, in the health food section, or you

can actually buy it on Amazon. We'll post a link to our favorite brands in the

comments after the video. So let's talk about what else is in the Strawberry

Apple Smoothie Recipe. We're going to have some strawberries and an apple - duh-

that's what its called, a juice of one lime. This is a huge lime! Of course one

zucchini - I love zucchini - and a teaspoon of maqui berry powder. So all of this is

going to be really good. It's a little bit - let me just rinse this real fast.

Alright, let's blend this up. I'm going to throw in the blue. Oh, first put in the

water, so we can all see it coming through.

Of course, we have some water and ice. If you want to sweeten this smoothie up a little bit, you

can use coconut water, maple water, um a little bit of apple juice, a little bit

of orange juice. We're going to throw in my zucchini, which I absolutely love. One

of my favorite things to put in smoothies, and that it's summertime there's a

wide variety of different types of zucchinis and squashes and I would

definitely implore you guys to go to the grocery store and see what kind of

squashes that they have. The yellow ones are fun because they're not going to

change the color of your smoothie. There's patty-pan squash. Go to your

farmers market and see what kind of squash they have - 8 ball squash, that looks

like a little circle - lots of really fun squashes in the summer time and they

don't really add any flavor to your smoothie! They just add a lot of fiber

and other good stuff. Let's throw in my apple. I don't really core my apple; I

just cut it in half and make sure if there's any stray apple seeds I get

them out of there. Its up to you though, I don't like to waste food or time. And

throw in my lime. Limes, we're going to use about a half a lime. If you have a very

large lime, you can use even less. I love limes in my smoothies, so there we

go and what else? Oh finally, the maqui berry powder! I think

we're going to do - we're going to put this in live, as its blending, so we can see

how the colors change. Hopefully it'll change in a cool way. So hold on to this.

Let's see what happens!

Look at that - just magic! Let's try it out! Whoops! I'm really - I know what's going on

with me today. Here we go, let's try it out! The Strawberry Apple Smoothie Recipe,

looks delicious. Here it is; whoo, zingy! Lots of lime in there; its really refreshing.

This is a calming smoothie, really good for your skin, low calorie, and low sugar. If

you ever want to cut the sugar, you can always add half of the fruit that we

recommend, use more zucchini, and some citrus, which will really mask and

sweeten it up a little bit more. So until next time, thanks for tuning in!

Feel free to like this video. We would really appreciate it and let me know

what you think about maqui berry powder, would love to hear from you. Until later,

Cheers!

For more infomation >> Health Benefits of Maqui Berry Powder- Strawberry Apple Smoothie Recipe - Duration: 7:08.

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2017 CS:GO REFERRAL CODES! [WORKING] [CHECK DESCRIPTION] EZ SKINS - Duration: 10:39.

For more infomation >> 2017 CS:GO REFERRAL CODES! [WORKING] [CHECK DESCRIPTION] EZ SKINS - Duration: 10:39.

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Promoção Lacta #CompartilheEssaAlegria - Duration: 0:14.

For more infomation >> Promoção Lacta #CompartilheEssaAlegria - Duration: 0:14.

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GREEK GODS MAKEUP TUTORIAL: HECATE, GODDESS OF MAGIC - Duration: 8:28.

Hey sisters!

Hey, it's Annika. Welcome to my "Channika."

Today I'm going to be doing a god look,

because I haven't done one in a f-ing minute.

I'm gonna be doing Hecate.

That is the god of magic, sorcery,

all that kind of sh--.

So I decided to do this blue / purple eyeshadow look

with some silver glitter.

And I'm gonna be adding more to the eye look

once I'm done with the face,

but I just wanted to do this eye first

to see if I could actually f-in pull it off.

Because y'all know,

not the best at makeup,

which is why this is not very blended.

I tried really hard. Please, no hate.

I am trying my best. So . . .

Let's get popping.

First, I'm going to be priming my eyelids

with the Wet n Wild Photo Focus Concealer.

This is cruelty free, in case you were wondering.

I didn't really need to say that,

because it literally says it right there. But, yeah.

Uh, what is there talk about?

I have f-ing nothing to talk about. Okay.

I need to set the eye primer with something.

I'm just gonna use this e.l.f. powder.

It's the under-eye brightening powder.

I'm literally just taking that on my finger and just . . .

Wow. Beauty guru.

James Charles Who?

Oh yeah! I just recently got the Alex 9 drawers,

which are right over here.

I filled all of the Alex drawers,

along with all of my 5 drawers over here.

So, um.

That's how you know you have a problem.

I need to scoot my f-ing chair back.

Okay. I'm going to be taking

the Zulu Palette by Juvia's Place.

This was in my makeup haul

that I posted on Friday the 4th.

And, yeah.

I just got this from Zuvia's . . . "Zuvia's Place." Yep.

I got this from JuviasPlace.com.

The shipping was super duper fast.

But I love all the bright colors in it.

Honestly, this is my kind of palette.

Like, I f-ing love this.

You can also make so many looks.

You have one, two, three shimmer shades

that are really foiled, really nice.

And then you have

one, two, three, four, five, six matte shades.

Nine shades in total. What the f--?

I couldn't have subtracted three from nine?

I'm f-ng stupid.

Um, anyhoo . . .

I'm gonna take this, um . . .

that shade on this Skone brush,

making sure that it's clean.

I'm gonna be taking the turquoise shade.

I'm gonna start building this in my . . .

oooh f--

. . . inner corner. Yeah.

That's . . . that's my story.

Um, I f-ing suck.

Like, why do I suck so hard? Okay.

I'm just building this color up,

because I want it to be pigmented.

You don't really have to build it up that much, but . . .

I just want to focus it.

I don't know. I don't really know what I'm doing.

I'm also just trying to make sure

that it's all blended.

I'm gonna go into the NYX Ultimate Palette,

just because I want to grab this really light purple shade,

so I can have a nice clean transition

between and the blue and the purple.

That's my recommendation for colorful looks.

Even normal looks,

you always need to have a nice transition shade

if you're transitioning from one color to another,

or else it's just gonna be really, really hard to blend.

Yeah?

And just keep going back and forth

until those two colors are blended.

I'm going back and forth

between the purple and blue.

Look at me being a beauty guru!

But then, I'm looking like this, so . . .

there's that.

Okay. And then I'm going to be taking

this purple shade,

and I'm going to start putting that into the outer corner.

But, again, trying to go back and forth

between this shade

and that light purple that we put in first.

[singing] My cameras gonna die bum bum bum bum.

Catch it on iTunes.

[grunt]

I'm actually just gonna quickly take a little pad

with makeup remover on it,

and I'm gonna clean up this inner corner,

because she's a little f-ed,

to say the least.

"Shut yo bubblegum dum dum lookin ass."

I'm gonna clean this up and I will be right back.

Alright. Now I'm gonna take the NYX Gli...

I look like a man.

I'm gonna take the NYX Glitter Primer.

I'm gonna put a little bit of this

on the back of my hand.

And I'm gonna take this small little e.l.f shader brush.

And then I'm gonna start to put this

in the center of my lid.

This is where the glitter is gonna go.

Yeah. So what I did when I was gone

was I just kind of cleaned up the sides of it,

and then I cleaned up the top,

and just kind of blended it out.

I feel like this eye is better,

but, does it look like I really give it flying f--?

Probably not. Because I don't.

I'm gonna take the NYX Glitter in the shade 06.

This is a silver glitter with rainbow reflect.

I'm doing this on the same e.l.f. brush.

And then I'm gonna pack it on my lid.

It goes on easier when you pack it.

Now we're gonna move on to the face.

I'm gonna take the NYX Hydra Touch Primer / base.

Also, before you put on your face makeup,

just make sure that your face is clean of any glitter.

Yeah. I don't have any glitter on my face

because I was f-ing careful. So.

Ooh, my skin is bumpy, girl.

For foundation, I'm gonna use the

e.l.f. Oil-Free SPF Foundation.

I'm gonna squeeze some of this

onto my BeautyBlender. Two pumps.

Got that on my face.

My camera is gonna die,

and I'm getting really stressed out about it.

"Me and all my ... doin' well, doin' well dog

You not from the city, I could tell, I could tell dog

Did it, did it, did it by myself, by myself dog

I don't f-- with you no more

cuz you be actin' extra"

[singing] I don't know the words to this song.

I don't know why I'm singing it.

Drake is stuck in my head.

He was on Degrassi.

I totally forgot that Drake was on Degrassi,

and then Brooke and I were talking about it,

and it was a revelation for me.

I completely forgot,

and it really just, like, . . . it all came to me. And yeah.

That's my f-in story.

I'm really hungry.

Oh my god, I want pizza so much.

[gasp]

I'm gonna order a pizza.

Wait, sorry. I'm ordering pizza.

Let's see. What now?

I'm going to put on some concealer.

I'm gonna use the Naked Skin Concealer.

I have a mini version.

Because I'm cheap like that.

I don't know why I smelled it.

I look so gross.

Like, the eye look is kind of pretty,

but, like, my face?

What was I talking about?

I feel like it's not blended onto my neck,

so we're just gonna do that.

Okay. Then I'm gonna set my face

using the Laura Mercier Translucent Setting Powder.

LML.

Alright. Now that there's powder all over my pants,

I'm gonna fill in my eyebrows. And I'll be right back, b--s.

I'm back and I wiped off the bake while . . .

I was literally just about to pull off my wig.

Snatch that weave.

I'm not actually wearing a wig. Don't worry.

Now I'm going to finish up my eyes.

This is gonna be really extra.

I think it might be,

but I want to do a little stars

using the NYX Vivid Brights

in the shade "Vivid Halo."

I'm gonna tilt the camera down,

so you can see what I mean.

But just little four-point stars.

Like that.

That's what it looks like.

I did three stars, and then

a bunch of dots to mimic stars.

That one went a lot faster.

But I don't think that it's overkill.

I actually kind of like it.

Bite me.

Alrighty . . .

Now, I think I'm going to apply some mascara.

So . . . yeah.

For mascara, I don't know what I want to use.

I'm just gonna use the Benefit They're Real!

I know it's not cruelty free,

but I just need some more cruelty free mascaras.

All of mine are by Essence,

because I don't really have any mascaras.

I'm just gonna keep doing this.

I'll be right back.

Now, I'm going to be doing bronzer,

and for bronzer, I think I'm gonna be using

the Too Faced Sweet Tea Bronzer.

It looks like this.

Oh man, I want pizza.

Actually, whenever I say I want pizza,

I really just mean that I want

the cheesy bread from Domino's.

Because I love that.

And every time I order from Domino's,

that's what I get. So . . .

This is a really boring video.

I hate myself.

Hopefully, the look will make up for it.

I really like this look.

For blush, I'm going to be using the Anastasia Blush Trio

in the shade "Pool Party."

cruelty free don't worry

I'm gonna take this shade

which is "Cash," but with a K.

I don't know why I used a warm-toned blush. F-- me.

Then I'm going to highlight

using the Anastasia Moonchild Palette.

And I'm going to take this shade "Blue Heart,"

which is this one right here.

It looks white,

but it's actually very, very blue.

Did I say "Blue Heart?"

I meant "Blue Ice."

I might have said "Blue Ice," but I'm not quite sure.

And I just mixed in a little bit

of "Blue Moon," which is this one,

just because I wanted to be a little bit more blue.

And then, I don't know what to do for lips, honestly

and I'm scared that like . . . I don't want to do blue.

I feel like that's gonna be overkill

I feel like I should do a matte.

Should I do a matte in dark brown or . . .

I think this works.

This is Dolce K by Kylie.

And while I'm at it,

I'm just going to use the Dolce K lip liner.

I'm good at lining my lips.

And, yeah.

I'm not quite sure how I feel about the lip color,

but she's gonna have to do.

I hope that you guys enjoyed this video.

Please comment rate, subscribe, and

keep on

magic-ing!

Sorry if this video was really boring.

For more infomation >> GREEK GODS MAKEUP TUTORIAL: HECATE, GODDESS OF MAGIC - Duration: 8:28.

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Promoção Lacta #CompartilheEssaAlegria - Duration: 0:14.

For more infomation >> Promoção Lacta #CompartilheEssaAlegria - Duration: 0:14.

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Часы и Начало Время Первый Канал +4 - Duration: 0:53.

For more infomation >> Часы и Начало Время Первый Канал +4 - Duration: 0:53.

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Abi - "Matches" Official Video

For more infomation >> Abi - "Matches" Official Video

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Euler's real identity NOT e to the i pi = -1 - Duration: 17:17.

Welcome to another Mathologer video. Everybody who watches these videos knows

Euler's identity e to the I pi is equal to minus one except it's not really

Euler's identity. The mathematician Roger Cotes already wrote about it in 1714

when Euler was only seven years old. I actually find it a bit sad that people

associate the math super hero Euler with a result that's not really by him rather

than with one of the zillion's of his really original amazing discoveries. Of

course it's really sad for Roger Cotes since he doesn't get mentioned for

anything and nobody's ever heard of him. Anyway I thought I make a video about

the real Euler identity, the identity that made Euler into a mathematical celebrity.

It's this one here. Very curious, right? It says that pi squared over six is equal

to the infinite sum of the reciprocals of the squares. This identity is a very

surprising answer to the problem of whether the infinite sum on the right adds up to

anything nice. A lot of the most famous mathematicians of Euler's time had tried

and failed to answer this problem and so it was a bit of a sensation when in 1734

Euler managed to find the answer. And of course that the answer involves pi with

no circle in sight anywhere added really to the appeal of this solution. The

result is not only pretty but also turns out to be important. Up there is the

definition of the famous Riemann zeta function which is the function at the

heart of the Riemann hypothesis, one of the most important unsolved problems in

mathematics. So what Euler managed to do was to find

the precise value of the Riemann zeta function at 2. Not only that, he also did

so for all even numbers. Now it turns out that all these values involved the circle

number pi. For example, this up there is Zeta evaluated at 4 and this

is Zeta evaluated at 6. To this day nobody knows whether zeta

evaluates to anything nice at the odd values 3, 5, 7, etc. Now Euler

was also interested in assigning reasonable values to the exploding sums

that you get when you try to evaluate Zeta at negative values:

1+2+3+... you know that one, right? In fact, he was one of the first, if not the

first mathematician to really demonstrate that there is a lot more to these

sums than meets the eye at first glance. If you dare check out my video on this

really mind-boggling topic. Anyway my mission today is to motivate and animate

Euler's proof of his wonderful identities for you. So here we go. To

start with it's not clear at all that this infinite sum will actually add to a

finite value and if it does add to a finite value whether it adds to anything

nice. If you've already looked a bit at infinite sums you may have come

across a beautiful closely related infinite sum. It gives a lot of insight

in this respect so let's warm up with that infinite sum. To get to it we first

rewrite Euler's sum like this. So, for example, we write 1 over 2 squared

as 1/2 times 1/2. Make a copy and let's shift the blue bits one to the right. What

results is this other infinite sum which is also very pretty. Let's compare the

two sums term by term. Okay, in the green we have 1 on top and at the bottom. Here

the green factors are the same and the bottom blue one is bigger ... green the same,

bottom blue bigger, green the same bottom blue bigger and so on overall it's

clear that the bottom sum is bigger than Euler's sum at the top. Now for the really

ingenious argument that evaluates the sum at the bottom. Let's chop off this

infinite sum at the fourth term there and calculate this partial sum. Now get

ready for a bit of mathematical magic. Here 1 times

1/2 is equal to 1 minus 1/2, neat right? 1/2 times 1/3 is equal to 1/2 minus 1/3, and

so on, now we get rid of the brackets and this gives you a strange mathematical

telescope of the pirate variety :) Let me explain. This here is one of the segments

of the telescope and here's another one. Okay now let's collapse the telescope:

- 1/2 plus 1/2 is 0, - 1/3 plus 1/3 is 0, and so our partial sum

evaluates to 2 minus 1/4. Now we chopped off the infinite sum at

this term over there. If instead we would have chopped off at that term here a

longer telescope would have given us the partial sum 2 minus 100. Now the further

down the sum we cut, the smaller the number we get. At infinity it vanishes

and so our telescoping sum adds up to 2, exactly. Okay so these infinite sums can

really add to nice values and so Euler & Co. had some hope that the same

might be the case for the closly related infinite sum they were chasing. Also

since the sum is greater than the Euler sum we know the Euler some adds to a

finite number which is less than 2. And, in fact, pi square divided by 6 is

approximately 1.644 which is less than 2. So it's all looking really good.

Ok warmup is over. Now how did Euler manage to prove his identity. Well he

starts with the so called Maclaurin series of the sine function. Most of you

who've done some calculus are familiar with writing sine as this sort of

infinite polynomial. Definitely Euler and all his contemporaries knew this very

well. Now to present a complete picture and to motivate where Euler's idea for

his proof comes from, it's important to know how mathematicians derive this

formula and I'll explain it in a moment but for now let's have a look at this

identity. Obviously, the sine function is derived from the circle and it should

therefore not come as a surprise that pi is hiding in sine in a couple of

different ways. For example, setting X equal to pi sine becomes 0 and so we get

this funky expression for pi here which is almost as nice as Euler's identity,

right? Question for you: How could you use this expression to calculate better and

better approximations for pi? If you've got an idea tell us in the comments. All

right, let's say you suspect sine of x can be expressed as an infinite

polynomial like this. How do you go about finding those coefficients? Well a is

easy. Just set x equal to 0 and sine is equal to 0 and so is this expression

over there and this means that a has to be equal to 0. Now let's find the

derivatives on both sides of the equation. If you don't know what a

derivative is just go with the flow. Here the derivative of sine X is cosine X, the

derivative of a is 0, the derivative of b x is b, the derivative of c x squared is

2 c x, the derivative of d x cubed is 3 d x squared, etc. Ok, now if we set x equal to 0

again. This gives on the left side 1 and here on the right side 0. And

so b is equal to 1. Now just rinse and repeat, find the derivative, set x equal

to 0 and conclude that c is equal to 0. And again and again and again and again

and that gives you all the coefficients. So if sine can be written as an infinite

polynomial that's what it's going to be. Anyway that's where the Maclaurin series

for sine comes from. This identity actually works for all x but that it

really does of course requires a separate proof.

Let me just demonstrate how well this works by showing you how the partial

sums of this infinite sum are better and better approximations to sine of x. There

we go. Let's plot sine of x, there we go and first partial sum that's

just a line, second partial sum is this cubic here, and then we keep on going, you

can see these guys wrap closer and closer to sine and at infinity they

coincide. Anyway, as you've seen, the infinite sum on the right is constructed

term-by-term based on higher and higher derivatives of sine at zero. That's really

wonderful and actually gives similar formulas for all the really famous

functions, like the exponential function or cosine, etc. At the same time

this method of pinning down this infinite polynomial is different from

what most of us would try first for finite polynomials, right? For example, for

a linear function like this we construct it maybe from two points on its

graph. Or for a quadratic function from three different points. And so it's kind

of natural to see whether we can also determine that infinite right side up

there by taking a similar approach. And that's exactly what Euler does. What he

does is he constructs the infinite polynomial in a different way from these

special points here which, of course, correspond to the zeros of sine. Okay

let's first focus on the middle three zeros. That part of sine looks like a

cubic curve and we can straight away write down a cubic polynomial that has

those three zeros. Here it is. Pretty obvious it's got these three zeros. Let's graph

it. Well it does have those three zeros but otherwise it's not a great fit. Of

course this is just one of the infinitely many cubic polynomials that

has these zeros. We get the other ones by putting a constant in front and varying it.

So let's just do that. Okay down, down down, down, back up a bit and so we get a

very close fit when the slopes of sine and the cubic coincide at zero.

And it's not hard to see that this happens when the constant is 1/pi

squared. Well let's just run with it. Let's clean up a bit. first pull those

constants into the brackets. Two 1s there and there, put the factors in order and

combine the last two factors as you learned in primary school. Hope you paid

attention. Okay looks neat and now it's also easy to check that this cubic just

like sine of x has slope 1 at 0. Next let's repeat the same calculation for

the middle 5 zeros. The polynomial we get here is of order 5 and it looks like

this. In terms of the algebra you get exactly the same answer as before except

you get another factor that features 2pi instead of a pi and which takes care

of the outer zeros 2pi and -2pi. Now just repeat over and over adding two

zeros at a time. You can see a closer and closer fit and at infinity we've got

coincidence again. And so Euler now has two infinite polynomials that are both

equal to sine x, right? Now since the infinite expressions are equal in a way,

by expanding the infinite product we expect to recover the infinite sum.

Let's just have a look at how this pans out numerically. First for the infinite

sum. So that's what it is and here the smallest terms you get when you expand

the first couple of factors of the infinite product. As you can see, you get

pretty good coincidence in the coefficients which gets better and better

the more factors you use. So this really seems to work. Now how do you expand the

whole infinite product? Well, just start expanding one factor at a time. So

highlight the first two factors and multiply them together and you get this.

Take the result and the next factor, multiply and you get this guy. Now let's

also highlight the x cubed term because that's going to be very

important in a second, and focus on how it evolves. Okay, next factor is there.

Multiply and you get this one here, and again. And now just have a look at the

green. It's pretty clear what's going to happen in the end

once you've finished expanding. The x cubed term will look like this. But

remember this x cubed term of the expanded infinite product has to be

equal to the x cubed term of the infinite sum and so we get this equation

here which simplifies. First multiply by minus 1 then times pi squared and there you have it,

Euler's real identity, pretty ingenious argument isn't it. And all of other

identities that I mentioned earlier, like this one up there,

you also get by comparing coefficients of the infinite sum and the expanded

product. For example, you get the identity up there by comparing the coefficients

of x to the power of 5 in the Maclaurin series to the one in the expanded infinite

product. Maybe give this a shot yourself. It's really very rewarding if you

managed to do this on your own. If you get stuck I'll also do the nifty

calculation in a separate video on Mathologer 2. Eventually of course

there's a lot more I could say about this identity. Most importantly I should

stress that what I've shown you is not a complete proof. It still takes a bit

of work to make this argument completely rigorous but it can be done, However, what

I showed you is pretty much all that Euler head when he decided to go public

with his result. In fact, believe it or not :)he didn't have access to

Mathematica and so all the numerical evidence to support his argument he had to

produce by hand and he actually had a lot less numerical evidence than I

showed you. Now it still took Euler a couple of years after he published his

identity to come up with a completely rigorous proof. Now to finish let me just

mention two more amazing facts about Euler's sum. For my first amazing fact, let's

have another look at Euler's way of writing sine as an infinite

product up there. If we set x equal to pi divided by 2, sine becomes 1 and when we

write the factors on the right as fraction, we get this. Solving for pi

divided by 2 gives the so called Wallis product, named after the mathematician

John Walli, a really beautiful and useful infinite product featuring

squares of all the even numbers in the numerator and squares of all the odd

numbers in the denominator, really really nice in it. Amazing fact number two: a lot

of you will be familiar with the Leibniz formula, this absolutely wonderful

identity up there. I didn't know about this myself until recently but Euler

actually points out in one of his papers that this identity can be derived in

exactly the same way as Euler's sum, the sum that this video is about, by writing

the function 1 - sine x as a product using its zeros so there's pretty

much all you need and then comparing the x coefficient to the Maclaurin series

with that of the expanded internet product not hard once you know so maybe

one of you may also be able to supply the details in the comments. Oh, by the

way, although this amazing identity is named after Leibniz, it, as well as the

Maclaurin series of all the main trigonometric functions were already

known to Indian mathematicians at least 300 years before Leibniz and Maclaurin

were born and it may very well be due to the mathematician Madhava of Sanggammagrammar. And hardly anybody knows about this or cares how very say it anyway

knows about this or cares. And this is it for today. As usual let me know how well this video work for you

and see you next time

For more infomation >> Euler's real identity NOT e to the i pi = -1 - Duration: 17:17.

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Wie MERCEDES-BENZ E W210 vorderen Bremssattel wechseln TUTORIAL | AUTODOC - Duration: 9:19.

Use a simple screwdriver to take brake caliper spring out

Use a torx №Т30

Use an end bit №7

Use a special brake line wrench № 14

Use an open-end wrench №8

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Bravo DiBattista, Bravissimi Salvini e Meloni - Eng Subtitles - Duration: 7:29.

Bravo Di Battista, very bravo Salvini & Meloni.

Dear Readers, I'm Paola and...you must forgive me if I am a little sweated

but it's hot and let's hope the weather cools down.

At the moment, the last time I checked I had no line, I hope I can upload this video, I hope I can upload it in HD.

The website in english F&FW was taken down by a hacker, then...

.if ever I have to cancel a website I'd give you a warning previously. Ok?

I'm sorry but...I have also another "commodity" website in english "Felix Democracy"

I posted only two articles, among the rest, today I wanted to write but there was no line

I should move to Rome or at least to Reggio Calabria a town where there are the optic fibers,

but unfortunately at the moment I can't

so I stay here, in this beautiful house, with this internet line, I do what I can.

Yesterday I wrote the article about Di Battista, I liked him really a lot

I have to tell the truth: I support Salvini and Meloni but at times DiBattista and Di Maio are bravo, one has to say it

I can't stand when they say that the danger is the 5 Stars Movement, it's untrue

The problem is Gentiloni, Renzi, the PD, the Monte dei Paschi di Siena

If you listen to what DiBattista says, they're all people put by the banks, by the international banking groups

in our places kind of the Presidency of the Republic, the Presidency of this and that

and they do the interests of the banks against us

Apropos of the immigrants, but did you notice that all the politicians who do the interests of the banks

they want also mass-clandestine-immigration?

Why?

Because for them that one, the mass of immigrants africans and muslims is a way to destroy

the european christian liberal State

because with those people they cannot do it

And they do want to destroy it. The laws against hate speech, about race and about gender

in Great Britain brought to mass rapes of the pakistani community against anglo-saxon or white

even if they weren't Anglo-saxon, little girls,

because with the excuse of the fear of the hate speech crime people were scared of saying:

"look, in the asian, muslim community, they rape white little girls"

Why?

Because they were sincerely scared of being arrested for racism

It's scary, it's scary

On the Telegraph yesterday the journalist of indian origin Radhika Sanghani said

"one cannot not denounce gang rape for fear of being accused of racism"

But there is an element that Rhadika lets go

it's not that the Telegraph has to put forward the journalist of indian or pakistani descent for saying it

It's still a way of apologizing

it's like saying "I can say it because..." because you're not white or because you're not Anglo-saxon.

No, also Nick Griffin used to say it, also the ones of BNP used to say it, also Mark...what's his name,

the new leader of the BNP, I don't like him very much, used to say it

They...I'm not saying that Rhadika Sanghani was put there to say it because she has indian origins

but the impression is still this, that the white journalist hasn't got to say it

they have to put forward the black or anyway asian journalist

no, you can say it because you can say it, because we all have freedom of speech

a blond blue eyed journalist, or anyway fair-skinned, italian or swedish can say it the same way

we must go back to freedom of expression

without having this fear, Boldrini is bery bad

look these hate speech laws are useful to never make you criticize the immigrants, the muslims..why

Because the muslims can say horrible things about women

but you shouldn't criticize them otherwise you would be islamophobe

Magdi Allam says it, but it's not that Magdi Allam can say it, because he's got egyptian origins

Magdi Allam can say it, like Sallusti can say it, like I can say it, like Boris Johnson can say it

That is, we want freedom of speech, they must stop terrorizing the people with these hate psycho-crimes

Certainly Radikha Sanghani said it because she thinks it

but I'd never want that there were this feeling that the white cannot say it, the black or the non white can say it

No. You say it because you're a nice person, because you think it, because one can see she suffers

one can see it. But one says it for freedom of speech

This mass immigration has got as an aim to destroy western societies

We have also to feel westerners, not only Italians or Europeans, we want to live like westerners

these people here cannot settle

Orlando that says "Salvini would make the migrants drown"

They call them migrants, they are not refugees

You cannot take illegal immigrants

Look, I would esteem the Left if it acted within the Rule of Law, if it conceded more visas

to legal african or asian immigrants

The Left acts outside of the Rule of Law. Even

Let alone that I and the Right, when we govern we'll concede visas with the drops-counter

because then, when Salvini governs, he'll let visas with the drops-counter

But, a Left that releases more visas for african and asian immigrants anyway has got a sense

that is, you respect it because it acts within the Rule of Law.

They don't release visas, because they can't release them anymore to african and asian immigrant

and take illegal immigrants from the boat of the smugglers

that is: they do clandestine immigration

they don't even have the courage of saying these ones we bring them back to Africa

then, if ever we release more visas to african immigrants

No, they take irregular immigrants from the dinghy of the smugglers, they bring them to Europe

they park them in Italy and then go to Brussels to ask for the migration compact

that is to fill Europe of black Africans because they are black Africans

and make laws about racial hate or hate against the LGBT

which means only that the fair-skinned Europeans have to be scared of saying:

"I don't want these people in my home"

Then, vote Salvini

even if Di Battista I liked him, I had to say it; it seemed "There's who says no" by Vasco Rossi,

in fact I also dedicated the song

but I would also want to do it the givernment with the 5 Stars

if it is not done, at least, they say it's they who don't want to do it with us, for me we could do it.

Certainly Berlusconi makes me feel uneasy, because Berlusconi supports Gentiloni. And I don't like this. Ok?

Let's hope they make me upload the video. Ok, by now I upload this. Bye.

For more infomation >> Bravo DiBattista, Bravissimi Salvini e Meloni - Eng Subtitles - Duration: 7:29.

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DIY POPSICLES RECIPE (2 FLAVORS!) - GHIACCIOLI FATTI IN CASA (2 GUSTI! - SOTTOTITOLI IN ITALIANO) - Duration: 1:43.

hey guys Vanessa here today's video isn't about cookies

because it's so hot outside that I want to show you my homemade popsicles

as usual the list of ingredients and extended procedure is below the video

let's start with coconut popsicle I use agave syrup instead of sugar but you can use

your favorite sweetener. Add the coconut flakes

if the yoghurt is too thick, add some rice milk

Once you're done, put it in the fridgr for a couple of hours

now let's make our second flavor this time I'm using

rice milk to sweeten

and a whole fruit snack I bought, it is orange and cinnamon

fill the mold and shake it to reduce air bubbles

don't forget to subscribe, like and comment. A vegan version is coming soon!

put your popsicles in the freezer for at least four to six hours

here are your homemade popsicles! These are a healthier option to processed popsicles

plus, you can have fun experimenting new flavors

ok guys, thank you so much for spending some time with me see you in the next video bye

For more infomation >> DIY POPSICLES RECIPE (2 FLAVORS!) - GHIACCIOLI FATTI IN CASA (2 GUSTI! - SOTTOTITOLI IN ITALIANO) - Duration: 1:43.

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