Oddly Satisfying Video You Will Be Satisfied with
Oddly Satisfying Video You Will Be Satisfied with
Oddly Satisfying Video You Will Be Satisfied with
-------------------------------------------
How to import Cost Data into Google Analytics - Duration: 12:43.
For more infomation >> How to import Cost Data into Google Analytics - Duration: 12:43. -------------------------------------------
Cross product of vectors - Mathematics for Engineers - Vectors - TU Delft - Duration: 6:51.
Hi there!
If you think about a way of multiplying vectors, it turns out that you have several possible definitions:
until now you have seen you can multiply a vector and a scalar to obtain another vector.
In the previous lesson you learned about the dot product:
an operation on two vectors having a scalar as its outcome.
Another name for the dot product is the inner product by the way.
This product is closely related to orthogonal projections.
In this video you will find out about another operation on two vectors,
whose result is another vector, having some nice properties!
This operation is called the cross product or the outer product.
Let's think about the following question:
Given two vectors u and v in three dimensional space,
find another vector w that is perpendicular to both of them.
How can you find it?
Not a difficult question to answer you will probably say:
you know after all that this vector then should have the property
that the dot product with both vectors equals zero.
For our example this means you have to solve the following two equations:
minus w1 plus 2 times w2 plus 2 times w3 equals 0
and w1 minus w2 plus w3 equals 0.
Okay, this is not a problem, except that you now have two equations with three unknowns!
You may not know how to solve such a system yet,
but in a course on linear algebra you will learn how to do this.
Furthermore you will discover that there are infinitely many solutions.
Because if you multiply any nonzero vector that is perpendicular to the two given vectors,
by a nonzero constant you get another vector that is perpendicular to the two given vectors.
And this you can do forever, you just change the length of the perpendicular vector.
One thing you could do to try to overcome this non-uniqueness is to restrict your attention
to unit vectors.
But even then, you see that there are still two possible directions
in which the vector you are looking for can point.
To choose one of the two directions, there is nice rule called the right-hand rule.
If the fingers of your right hand curl from u to v,
then your thumb points in the direction of the vector perpendicular to u and v that we will choose.
This vector is the cross product of u and v.
So if this is u and this is v,
then the direction of the vector you are looking for is this way.
But if this is u and this is v, I have to put my hand like this
and you see that the vector points downwards!
To get the point of this rule you should really do the movement yourself!
Fortunately, there is a procedure to compute the cross product that is really straightforward.
I call it the Amsterdam method, because it uses crosses just as on the famous small pillars
that can be found in Amsterdam.
Let's do an example with our vectors u and v:
write down a table with two columns and six rows.
In the first three entries of the first column you put the vector u
and in the next three entries you do this again.
Then do the same thing for the second column but now with the vector v.
Then remove the first and last rows and put three crosses in the table as shown.
Now compute the three components of the new vector w, using the crosses in the table.
Each cross means upper left multiplied with lower right minus lower left multiplied with upper right.
If you practice this in the exercises you will find out that this Amsterdam method gives
a fast way to find the vector w.
A quick check will reassure you that the vector w is indeed perpendicular to both u and v.
The cross product was introduced by the famous British mathematician Rowan Hamilton
in the early nineteenth century.
In general the formula found from the Amsterdam method to compute the cross product
of the vectors u and v is shown here.
I now challenge you to prove for yourself that the vector w is indeed perpendicular to the vectors u and v!
Given two vectors u and v in three dimensional space,
you know how to find the direction of the cross product using the right hand rule.
The length of the cross product may seem somewhat mysterious still.
This length, though, has a clear and nice geometric interpretation.
If u and v are not scalar multiples of each other, they actually lie in a plane:
a plane is a two dimensional subset of the three dimensional space.
Then, you can define the parallellogram spanned by u and v.
This parallellogram then has an area; and guess what?!
This area is equal to the length of the cross product of u and v.
Knowing how to compute the cross product is one thing,
the question of course is why on earth would you want to be able to do such a thing?
Well, there are numerous applications in physics and in mathematics.
In physics for instance you encounter it in electromagnetism
and mechanics on rotating bodies (like the earth).
In mathematics the cross product is used to compute the volume of a parallelepiped,
and to determine the equations of planes in three dimensional space.
You will learn more about computing these volumes and planes in the next videos.
But first: do some exercises to compute cross products
and study the properties of the cross product listed in the text following this video!
-------------------------------------------
(ENG SUB) Do you remember the first time we met? Season 1 (TEASER) - Duration: 1:14.
There is a girl.
Sometimes she is bold, and sometimes she is delicate.
She pretends not to, but she is a very jealous person.
She seems firm and decisive, but sometimes makes mistakes.
She worries about others, but her concerns of herself never reach her.
Do you know? I worried a lot.
Like stars falling down
Like a balsam flower slowly getting drenched
Like a comet that never will return
That is how you feel to me.
Even now, when I look at that girl, my existence becomes so small.
Sending you away
Keeping you in my heart
How distant and large each step are.
Even so, this time I plan to gather up my courage.
You know... Do you remember the first time we met?
-------------------------------------------
Prop 206: Paid sick leave rules starting July 1st; what you need to know - Duration: 1:54.
MAY
HAVE BEEN IN THAT VEHICLE.
THE VICTIM WAS IN CRITICAL
CONDITION.
>>> STARTING THIS SATURDAY FACE
TO OF PROP 206 BEGINS REQUIRING
ALL COMPANIES IN ARIZONA AND
NONPROFITS TO GIVE EMPLOYEES
PAY TIME OFF FOR PTO.
WE'VE HEARD ABOUT THIS NEW LAW
AND WE ARE TAKING ACTION
NOHELANI GRAF INTO THE
QUESTIONS YOU MAY HAVE.
KATIE CONNER JOINING US THIS
MORNING.
MANY PEOPLE HAVE ASKED ABOUT
THE COMPANY'S LETTING THEIR
EMPLOYEES KNOW ABOUT THE LAW.
>> THEY HAVE TO GIVE YOU A COPY
OF THE WRITTEN POLICY MAY BE IN
AN EMAIL OR MAILBOX.
THEY ALSO HAVE TO POST
SOMETHING ABOUT IT IN A
CONSPICUOUS PLACE LIKE THIS
LIKE HERE IN YOUR BREAK ROOM.
IF YOU'RE WORRIED YOUR COMPANY
WILL NOT OFFER THIS PTO, DON'T.
THIS WILL IMPACT ALL INDUSTRIES.
THOSE WHO IGNORE THE LOT WILL
BE INVESTIGATED AND COULD FACE
PENALTIES.
IF AN EMPLOYEE FILES A COMPLAINT
-- THE FIRST VIOLATION IS $250
THAN $1000 FOR EVERY SUBSEQUENT
VIOLATION UNDER THIS LOT YOUR
PAYCHECK MUST SHOW HOW MUCH
TIME YOU'VE ACCRUED AND USE. IT
IS IMPORTANT TO NOTE THIS PAID
SICK TIME IS SEPARATE FROM
VACATION TIME.
LEGAL EXPERTS SAY THE LAW IS
BROA WHEN IT COMES TO DEFINING
THIS.
>> EMPLOYERS HAVE TO BE CAREFUL
WHEN THEY'RE IMPLEMENTING THIS
POLICY AND RUNNING IT THAT THEY
AT KNOWLEDGE AND UNDERSTAND
WHILE IT SAYS SICK LEAVE IT
COVERS OF THINGS LIKE DOMESTIC
VIOLENCE.
IT'S A MINI FAMILY MEDICAL LEAVE
ACT.
>> Reporter: WE'VE HEARD FROM
SEVERAL OF YOU ON WHAT HAPPENS
WHEN I HAVE TO IMPROVE TO MY
EMPLOYER THAT I AM SICK.
>> WE HAVE A FULL BREAKDOWN ON
OUR WEBSITE.
-------------------------------------------
Bold Living #1 I Am Adopted, Redeemed & Secure - Duration: 0:52.
Check this out.
Before Moses ever walked and parted the red sea.
Before Abraham ever brought Isaac to be sacrificed.
Before David ever slayed Goliath and became king.
Before Jesus ever walked the earth.
Lived his 30 years and died on the cross.
God.
Chose.
You.
-------------------------------------------
2 Pro Tips for Shooting Professional Looking Social Media Videos - Duration: 9:40.
Congratulations! You have decided to do some videos especially for your social
media marketing for your business! I'm happy for you and now that you are all
motivated to create these amazing videos for your social media channels there's
two more things I wanted to tell you about and that's what I'm going to
talk about in today's video eTip. I am Susan Friesen with eVision Media
and today's video eTip is helping you get the best out of the videos that
you're creating with the equipment that you have and I'm going to be talking
about having the right lighting and having the right audio for your videos.
Have you ever looked at a video and you thought something was off about it?
It was grainy, it was dark, the whites looked kind of yellowish or
creamy colored, it was just fuzzy, poor quality. That is an indicator
the lighting isn't all that good. When you have that disconnect,
that feeling something is off about that video, then what is
happening is it's distracting your audience. They're more focused on
why does that colour look so weird? As opposed to actually listening to what
you have to say. Talking about listening, the other super important thing is your
audio. Obviously there are things we can get away with because these are just
social media videos. It's not as if it's a production studio quality video
you're going to be wanting to showcase on the homepage of your website - that's a
whole different ball of wax - and you would want to incorporate a
professional videographer for that. I'm talking specifically about videos for
your for your social media accounts so you can get yourself out there,
showcase your business and build your brand exposure through the use of video.
Back to the audio - the audio is just as important as the lighting because if
people can't hear what you're saying then there's no point in having any
video up, right? So let's go back to lighting for a second. Back when I worked
at our local cablevision studio, back then we had MSA cable 3 - shout-out to
the crew back then - and we had a studio where I was the first
paid master control operator of that studio so learned tons about video production,
lighting, and audio editing, directing - the whole nine yards. In a
studio setting there's typically three kinds of lighting that gets set up and
I'm going to describe to you what that lighting is and then I'll go into how
you can set up your own system without having to invest in a ton
of lighting. The first one is a backlight a backlight would be a spotlight
that would shine on the back of my head, behind my head, so it would be
taking care of all the shadows that you're currently seeing behind me. As you
can see right now, I don't have the best lighting so you can see there are
shadows happening behind me. Now if I had a backlight that wouldn't be happening.
A backlight is one thing we use in a studio. The other thing you use
in a studio is a fill light. A fill light has a broader spectrum - it creates more
of a wider range, a softer diffused light. Usually you see a fill light off to
the side and it fills the whole space. I have a light beside me right now
that's acting as my fill light. Then the final light you would
see in a studio setting is a keylight. A keylight is more like a spotlight.
It's a little bit more up front, in front of you and it's shining directly on the
subject. With those three lighting's in mind, and of course in a bigger studio
setting there's lots more lights than that but this is just keeping it basic
for you. For us to try and emulate that - right now I'm in my
office and what I'm taking advantage of is lighting coming from my
window. It happens to be a cloudy, darker day today so that's why the
overall ambiance isn't ideal but take advantage of the window lighting
wherever you can. Get yourself in front of the window lighting and use
that as your fill light. One side note is when I'm on location,
obviously you're not going to be hauling all of your lights with you so
find a window and stand in front that window so the camera is
looking at you but you're looking at the window and that suffices often as
enough lighting you would need. That can be working as your fill light. The
backlight - there's not much you can do about a backlight unless you happen to have an
overhead light that's shining above you but you can use more fill
lights or try to get a key light and use that as more of a spotlight but I
have a light sitting right here you can see it shining on my
Penguin's here. There's a little bit of light there. I've got a light there and
I've got a light up here too and these are just lamps and so those are lights
that I've created to bring the lighting up a bit. As I said
it's not ideal - it could be better and probably my next investment will be
to buy proper lighting - fill lighting especially so I can get my lighting
up a little bit better. Give lighting a try - lighting is super important. The
more lighting it is the better. Even though it feels like the
the room is already bright for you that doesn't mean that's going to translate
well into the camera. So make it as bright as you can without overdoing it.
Just another side note - if you are outside, try to avoid doing a
video in the in the sunshine because the sunshine will actually cause too bright
of a light on your face and it will cause way too many shadows behind you
too. So bright sunshine is actually not ideal unless you're looking at the
window where the sunshine is outside and is bringing in lots of beautiful light
in through the window. That's fine but standing outside in the sunshine is not
great. You actually want to be looking at more of a cloudy day if you're
going to be doing your videos outside. Let's move onto audio. As you can see I'm
wearing a lapel audio microphone right now. It's hooked to my sweater hooked up
into my iPhone and I'm using that for my audio. This is a lavaliere mic - quite
low cost - not a big deal to purchase and I find
these kind of microphones are much better than just using your phone
microphone but that is another option for you - use the microphone
that's in your phone like an iPhone or Android. The
time that would be okay with using your microphone that's in your phone is
if you are doing a selfie or doing a fairly close-up shot so the
microphone is close to your mouth. Right now my camera is too far away.
I would sound very echoey. It wouldn't sound very good. The other thing you
can use is a headset. For quite a while there, before I got the lavaliere mic, I
would sit in front of my webcam at my desk and I had a headset that had a
microphone attached to it and it wrapped around the back of my neck. That
actually worked really well. The microphone was well hidden with my long
hair and that sufficed beautifully for audio but of course that wasn't very
mobile - I couldn't use that with my smart phone - but it was a great option
to use for when I do my videos in front of my computer, using my computer my
webcam. Then there's one more microphone you can use and
that's the good old fashioned handheld microphone you see people using those in
interview situations where they're literally standing there holding a
microphone. That's probably a little bit too over the top for the kinds of videos
that we're talking about but if you happen to have one laying around that's
perfectly acceptable as long as it can plug into whatever recording device
you're using. There you have it - your lighting and your audio - the final steps
to having a great audio and lighting quality production video for your
business. In a past tip I did talk about the framing so be sure to reference that
video too to understand where to stand zooming in and out panning left and
right all that fun stuff and get the proper framing and so at the end of
the day you want to avoid any kind of distraction or anything that will make
people feel like, "Oh what was that?" We want a hundred percent focus on what
we're talking about in our talking head videos. I'm talking about a
talking head video here not if you're going to be out doing a reporting
at a live event or anything like that. So that's it for today's
eTip! If you have any questions at all about videos and social media using
videos for social media please leave a comment below show some love and
like this video leave a comment I would love to hear your feedback if you found
that these videos have been helpful for you. We've been focusing a lot on videos
because video is a huge hit right now - something I encourage all
entrepreneurs and business owners to take advantage of. Do sign up for my
newsletter as well - we send it out every Tuesday morning with a fresh new
eTip video for you to look at and also a brand new article that's written
specifically to help entrepreneurs and business owners with their marketing for
their business and sometimes we throw in a guest article about another
great topic that all business owners need to know about. Please share the
love - share the videos and I will talk to you next time. Thanks! Bye now
Không có nhận xét nào:
Đăng nhận xét