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Michael Bubl・ Lyrics


We have lyrics for these tracks by Michael Bubl・:

All I Do Is Dream of You All I do is dream of you The whole night through With…
All I Want For Christmas Is You I don't want a lot for Christmas There's just one thing…
All Of Me All of me, why not take all of me? Can't you…
Ave Maria Ave maria Gratia plena Maria, gratia plena Maria, gratia ple…
Blue Christmas I'll have a blue Christmas Without you, I'll be so blue just…
Can't Buy Me Love Can't buy me love, love Can't buy me love I'll buy you…
Christmas (Christmas) The snow's coming down (Christmas) I'm watchi…
Cold December Night Stockings are hung with care The children sleep with one eye…
Crazy Love I can hear her heart beat for a thousand miles And…
Cry Me a River Now you say you're lonely You cry the whole night through W…
Dream Dream When you're feeling blue Dream That's the thing to …
End Of May Golden haze Another morning feels like yesterday End of Ma…
Everything You're a falling star, you're the get away car You're the…
Feeling good Birds flying high You know how I feel Sun in the sky You…
Fever Never know how much I love you, never know how…
For Once In My Life For once in my life I have someone who needs…
Georgia on My Mind Georgia, Georgia The whole day through Just an old sweet son…
Have Yourself A Merry Little Christmas Have yourself a merry little Christmas Let your heart be lig…
Haven't Met You Yet I'm not surprised Not everything lasts I've broken my heart …
Hold On Didn't they always say we were the lucky ones? I guess…
Holly Jolly Christmas Have a holly, jolly Christmas, It's the best time of the…
Hollywood Could you be a teenage idol Could you be a movie…
Home Another summer day Is come and gone away In Paris and Rome B…
I'll Be Home for Christmas I'll be home for Christmas You can plan on me Please have…
I've Got A Crush On You I've got a crush on you, my sweetie pie All the…
It's Beginning To Look A Lot Like Christmas It's beginning to look a lot like Christmas Ev'rywhere you g…
Let it Snow Let it Snow Let it Snow Oh the weather outside is frightful But the fire is so…
Me And Mrs. Jones Me and Mrs. Jones, we got a thing going on We…
Moondance Well, it's a marvelous night for a moondance With the stars…
My funny valentine My funny valentine Sweet, comic valentine You make me smile …
Quando Quando Quando Tell me when will you be mine Tell me quando quando…
Save the Last Dance for Me You can dance-every dance with the guy Who gives you the…
Silent Night Silent night, holy night! All is calm, all is bright Round y…
Stuck In The Middle With You [Chorus] Well I don't know why I came here tonight, I got…
That's All I can only give you love that lasts forever, And…
The Best Is Yet To Come Out of the tree of life I just picked me…
The More I See You The more I see you, The more I want you. Somehow this…
The Way You Look Tonight Some day, when I'm awfully low, When the world is cold, I…
Try a Little Tenderness Oh she may be weary Them young girls they do get…
Who's Lovin' You When I, I had you I treated you bad And wrong my…
You and I Here we are on earth together It's you and I God has…
You Don't Know Me You give your hand to me Then you say hello I can…

The lyrics can frequently be found in the comments below, by filtering for lyric videos or browsing the comments in the different videos below.
Most interesting comment from YouTube:
the values {2.6556, 9.95851} are not surprising, here is why (warning, maths!):
the matrix you put in has eigenvectors, those can be calculated by iterating the following:
A*x_n / norm(A*x_n) -> x_{n+1}
meaning, take any starting x_0, multiply with A, and normalize the vector (make it length 1).

in the limit you will get one eigenvector (which one depends on the matrix, but it will be one where the corresponding eigenvalue is the (absolute) largest) of the matrix.

now for the matrix in the wikipedia article you showed this would be complex, but you also added the 1.6, meaning the computation is no longer a linear one.
here we can use homogenous coordinates (https://en.wikipedia.org/wiki/Homogeneous_coordinates) to make it linear, so instead of a 2x2 matrix we can use a 3x3:
{{0.85, 0.04,0},{ -0.04, 0.85,1.6},{0,0,1}}

the eigenvectors of that new matrix are also complex, but only two of them! the one real (with the largest length eigenvalue) is:
(640/241, 2400/241, 1) = Decimal approximation: {2.6556, 9.95851, 1}

dehoomogenized that are the values you get at 8:00 (meaning divide the first two by the last which is 1...)


Comments from YouTube:

joshinils

the values {2.6556, 9.95851} are not surprising, here is why (warning, maths!):
the matrix you put in has eigenvectors, those can be calculated by iterating the following:
A*x_n / norm(A*x_n) -> x_{n+1}
meaning, take any starting x_0, multiply with A, and normalize the vector (make it length 1).

in the limit you will get one eigenvector (which one depends on the matrix, but it will be one where the corresponding eigenvalue is the (absolute) largest) of the matrix.

now for the matrix in the wikipedia article you showed this would be complex, but you also added the 1.6, meaning the computation is no longer a linear one.
here we can use homogenous coordinates (https://en.wikipedia.org/wiki/Homogeneous_coordinates) to make it linear, so instead of a 2x2 matrix we can use a 3x3:
{{0.85, 0.04,0},{ -0.04, 0.85,1.6},{0,0,1}}

the eigenvectors of that new matrix are also complex, but only two of them! the one real (with the largest length eigenvalue) is:
(640/241, 2400/241, 1) = Decimal approximation: {2.6556, 9.95851, 1}

dehoomogenized that are the values you get at 8:00 (meaning divide the first two by the last which is 1...)

viteosen

Where do the minimum values for X and Y come from?

viteosen

@The Coding Train anyone? how to obtain the left value? −2.1820 < x < 2.6558

viteosen

@joshinils how to obtain the left value? −2.1820 < x < 2.6558

Oscar

This is what I read:

The values random number and random number aren’t surprising because big words I can’t understand, calculated by random numbers, symbols and letters, paragraphs of words in a random order, more numbers and brackets, more random words and then even more random numbers and brackets

K1naku5ana3R1ka

idontknow istilldontknow If you need some help with linear algebra, 3Blue1Brown has you covered: https://www.youtube.com/playlist?list=PL_w8oSr1JpVCZ5pKXHKz6PkjGCbPbSBYv

7 More Replies...

Math & Coding

Another excellent challenge. ☺
(I love fractals)

offtheball

1:18 I FEEL GOOD

Shirubaurufu

nice

Pedro Henrique

HAHAH oh boy, at the moment the fern showed up I screamed "AH" too haha

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